%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM507+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:36 PM UTC 2026
% Result : Theorem 117.86s 83.73s
% Output : CNFRefutation 124.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_545)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1799,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( ( ( X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
& doDivides0(X4,X3) )
=> ( X4 = sz10
| X4 = X3 ) ) )
| isPrime0(X3) )
& ( ? [X4] :
( aNaturalNumber0(X4)
& sdtasdt0(X1,X2) = sdtasdt0(X3,X4) )
| doDivides0(X3,sdtasdt0(X1,X2)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X4] :
( aNaturalNumber0(X4)
& X1 = sdtasdt0(X3,X4) )
& doDivides0(X3,X1) )
| ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(mDivAsso,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(mDivMin,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,sdtpldt0(X2,X3)) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(mMonMul,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(mMonAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(mDivSum,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,X3) )
=> doDivides0(X1,sdtpldt0(X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(mDefQuot,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDivTrans,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(mLETran,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(mMulCanc,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(mAddCanc,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X1,X2) = sdtpldt0(X1,X3)
| sdtpldt0(X2,X1) = sdtpldt0(X3,X1) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(mDefPrime,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(mZeroMul,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(m__2342,hypothesis,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& xk = sdtasdt0(xr,X1) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xr = sdtasdt0(X1,X2) )
| doDivides0(X1,xr) ) )
=> ( X1 = sz10
| X1 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(m__1860,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(m__2362,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(m__2075,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(m__1870,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(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__2377,hypothesis,
( xk != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xk,X1) = xp )
& sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2377) ).
fof(m__2287,hypothesis,
( xn != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(m__2306,hypothesis,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(m__2327,hypothesis,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(i_0_49,negated_conjecture,
~ ( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_50,hypothesis,
! [X192,X193,X194,X197] :
( ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk5_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| aNaturalNumber0(esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| X194 = sdtasdt0(esk5_3(X192,X193,X194),esk6_3(X192,X193,X194))
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| doDivides0(esk5_3(X192,X193,X194),X194)
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != sz10
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| esk5_3(X192,X193,X194) != X194
| X194 = sz00
| X194 = sz10
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X197)
| sdtasdt0(X192,X193) != sdtasdt0(X194,X197)
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| aNaturalNumber0(esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| X192 = sdtasdt0(X194,esk7_3(X192,X193,X194))
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( aNaturalNumber0(esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( X193 = sdtasdt0(X194,esk8_3(X192,X193,X194))
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) )
& ( doDivides0(X194,X193)
| doDivides0(X194,X192)
| ~ iLess0(sdtpldt0(sdtpldt0(X192,X193),X194),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X194,sdtasdt0(X192,X193))
| ~ isPrime0(X194)
| ~ aNaturalNumber0(X192)
| ~ aNaturalNumber0(X193)
| ~ aNaturalNumber0(X194) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1799])])])])]) ).
fof(i_0_51,negated_conjecture,
! [X213] :
( ( ~ aNaturalNumber0(X213)
| sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X213) != sdtpldt0(sdtpldt0(xn,xm),xp)
| sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_49])])])]) ).
fof(i_0_52,plain,
! [X127,X128,X129] :
( ( sdtasdt0(X127,sdtpldt0(X128,X129)) = sdtpldt0(sdtasdt0(X127,X128),sdtasdt0(X127,X129))
| ~ aNaturalNumber0(X127)
| ~ aNaturalNumber0(X128)
| ~ aNaturalNumber0(X129) )
& ( sdtasdt0(sdtpldt0(X128,X129),X127) = sdtpldt0(sdtasdt0(X128,X127),sdtasdt0(X129,X127))
| ~ aNaturalNumber0(X127)
| ~ aNaturalNumber0(X128)
| ~ aNaturalNumber0(X129) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_53,plain,
! [X184,X185,X186] :
( ~ aNaturalNumber0(X184)
| ~ aNaturalNumber0(X185)
| X184 = sz00
| ~ doDivides0(X184,X185)
| ~ aNaturalNumber0(X186)
| sdtasdt0(X186,sdtsldt0(X185,X184)) = sdtsldt0(sdtasdt0(X186,X185),X184) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
fof(i_0_54,plain,
! [X179,X180,X181] :
( ~ aNaturalNumber0(X179)
| ~ aNaturalNumber0(X180)
| ~ aNaturalNumber0(X181)
| ~ doDivides0(X179,X180)
| ~ doDivides0(X179,sdtpldt0(X180,X181))
| doDivides0(X179,X181) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
fof(i_0_55,plain,
! [X158,X159,X160] :
( ( sdtasdt0(X158,X159) != sdtasdt0(X158,X160)
| X158 = sz00
| X159 = X160
| ~ sdtlseqdt0(X159,X160)
| ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160) )
& ( sdtlseqdt0(sdtasdt0(X158,X159),sdtasdt0(X158,X160))
| X158 = sz00
| X159 = X160
| ~ sdtlseqdt0(X159,X160)
| ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160) )
& ( sdtasdt0(X159,X158) != sdtasdt0(X160,X158)
| X158 = sz00
| X159 = X160
| ~ sdtlseqdt0(X159,X160)
| ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160) )
& ( sdtlseqdt0(sdtasdt0(X159,X158),sdtasdt0(X160,X158))
| X158 = sz00
| X159 = X160
| ~ sdtlseqdt0(X159,X160)
| ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(i_0_56,plain,
! [X155,X156,X157] :
( ( sdtpldt0(X157,X155) != sdtpldt0(X157,X156)
| ~ aNaturalNumber0(X157)
| X155 = X156
| ~ sdtlseqdt0(X155,X156)
| ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156) )
& ( sdtlseqdt0(sdtpldt0(X157,X155),sdtpldt0(X157,X156))
| ~ aNaturalNumber0(X157)
| X155 = X156
| ~ sdtlseqdt0(X155,X156)
| ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156) )
& ( sdtpldt0(X155,X157) != sdtpldt0(X156,X157)
| ~ aNaturalNumber0(X157)
| X155 = X156
| ~ sdtlseqdt0(X155,X156)
| ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156) )
& ( sdtlseqdt0(sdtpldt0(X155,X157),sdtpldt0(X156,X157))
| ~ aNaturalNumber0(X157)
| X155 = X156
| ~ sdtlseqdt0(X155,X156)
| ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
fof(i_0_57,plain,
! [X176,X177,X178] :
( ~ aNaturalNumber0(X176)
| ~ aNaturalNumber0(X177)
| ~ aNaturalNumber0(X178)
| ~ doDivides0(X176,X177)
| ~ doDivides0(X176,X178)
| doDivides0(X176,sdtpldt0(X177,X178)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
fof(i_0_58,plain,
! [X122,X123,X124] :
( ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124)
| sdtasdt0(sdtasdt0(X122,X123),X124) = sdtasdt0(X122,sdtasdt0(X123,X124)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_59,plain,
! [X116,X117,X118] :
( ~ aNaturalNumber0(X116)
| ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118)
| sdtpldt0(sdtpldt0(X116,X117),X118) = sdtpldt0(X116,sdtpldt0(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_60,plain,
! [X170,X171,X172] :
( ( aNaturalNumber0(X172)
| X172 != sdtsldt0(X171,X170)
| X170 = sz00
| ~ doDivides0(X170,X171)
| ~ aNaturalNumber0(X170)
| ~ aNaturalNumber0(X171) )
& ( X171 = sdtasdt0(X170,X172)
| X172 != sdtsldt0(X171,X170)
| X170 = sz00
| ~ doDivides0(X170,X171)
| ~ aNaturalNumber0(X170)
| ~ aNaturalNumber0(X171) )
& ( ~ aNaturalNumber0(X172)
| X171 != sdtasdt0(X170,X172)
| X172 = sdtsldt0(X171,X170)
| X170 = sz00
| ~ doDivides0(X170,X171)
| ~ aNaturalNumber0(X170)
| ~ aNaturalNumber0(X171) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(i_0_61,plain,
! [X144,X145,X146] :
( ( aNaturalNumber0(X146)
| X146 != sdtmndt0(X145,X144)
| ~ sdtlseqdt0(X144,X145)
| ~ aNaturalNumber0(X144)
| ~ aNaturalNumber0(X145) )
& ( sdtpldt0(X144,X146) = X145
| X146 != sdtmndt0(X145,X144)
| ~ sdtlseqdt0(X144,X145)
| ~ aNaturalNumber0(X144)
| ~ aNaturalNumber0(X145) )
& ( ~ aNaturalNumber0(X146)
| sdtpldt0(X144,X146) != X145
| X146 = sdtmndt0(X145,X144)
| ~ sdtlseqdt0(X144,X145)
| ~ aNaturalNumber0(X144)
| ~ aNaturalNumber0(X145) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(i_0_62,plain,
! [X173,X174,X175] :
( ~ aNaturalNumber0(X173)
| ~ aNaturalNumber0(X174)
| ~ aNaturalNumber0(X175)
| ~ doDivides0(X173,X174)
| ~ doDivides0(X174,X175)
| doDivides0(X173,X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(i_0_63,plain,
! [X150,X151,X152] :
( ~ aNaturalNumber0(X150)
| ~ aNaturalNumber0(X151)
| ~ aNaturalNumber0(X152)
| ~ sdtlseqdt0(X150,X151)
| ~ sdtlseqdt0(X151,X152)
| sdtlseqdt0(X150,X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(i_0_64,plain,
! [X140,X141,X143] :
( ( aNaturalNumber0(esk1_2(X140,X141))
| ~ sdtlseqdt0(X140,X141)
| ~ aNaturalNumber0(X140)
| ~ aNaturalNumber0(X141) )
& ( sdtpldt0(X140,esk1_2(X140,X141)) = X141
| ~ sdtlseqdt0(X140,X141)
| ~ aNaturalNumber0(X140)
| ~ aNaturalNumber0(X141) )
& ( ~ aNaturalNumber0(X143)
| sdtpldt0(X140,X143) != X141
| sdtlseqdt0(X140,X141)
| ~ aNaturalNumber0(X140)
| ~ aNaturalNumber0(X141) ) ),
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_65,plain,
! [X166,X167,X169] :
( ( aNaturalNumber0(esk2_2(X166,X167))
| ~ doDivides0(X166,X167)
| ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167) )
& ( X167 = sdtasdt0(X166,esk2_2(X166,X167))
| ~ doDivides0(X166,X167)
| ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167) )
& ( ~ aNaturalNumber0(X169)
| X167 != sdtasdt0(X166,X169)
| doDivides0(X166,X167)
| ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167) ) ),
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_66,plain,
! [X133,X134,X135] :
( ( sdtasdt0(X133,X134) != sdtasdt0(X133,X135)
| X134 = X135
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135)
| X133 = sz00
| ~ aNaturalNumber0(X133) )
& ( sdtasdt0(X134,X133) != sdtasdt0(X135,X133)
| X134 = X135
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135)
| X133 = sz00
| ~ aNaturalNumber0(X133) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
fof(i_0_67,plain,
! [X130,X131,X132] :
( ( sdtpldt0(X130,X131) != sdtpldt0(X130,X132)
| X131 = X132
| ~ aNaturalNumber0(X130)
| ~ aNaturalNumber0(X131)
| ~ aNaturalNumber0(X132) )
& ( sdtpldt0(X131,X130) != sdtpldt0(X132,X130)
| X131 = X132
| ~ aNaturalNumber0(X130)
| ~ aNaturalNumber0(X131)
| ~ aNaturalNumber0(X132) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(i_0_68,plain,
! [X148,X149] :
( ~ aNaturalNumber0(X148)
| ~ aNaturalNumber0(X149)
| ~ sdtlseqdt0(X148,X149)
| ~ sdtlseqdt0(X149,X148)
| X148 = X149 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(i_0_69,plain,
! [X162,X163] :
( ~ aNaturalNumber0(X162)
| ~ aNaturalNumber0(X163)
| X162 = sz00
| sdtlseqdt0(X163,sdtasdt0(X163,X162)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(i_0_70,plain,
! [X164,X165] :
( ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165)
| X164 = X165
| ~ sdtlseqdt0(X164,X165)
| iLess0(X164,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(i_0_71,plain,
! [X182,X183] :
( ~ aNaturalNumber0(X182)
| ~ aNaturalNumber0(X183)
| ~ doDivides0(X182,X183)
| X183 = sz00
| sdtlseqdt0(X182,X183) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(i_0_72,plain,
! [X187,X188] :
( ( X187 != sz00
| ~ isPrime0(X187)
| ~ aNaturalNumber0(X187) )
& ( X187 != sz10
| ~ isPrime0(X187)
| ~ aNaturalNumber0(X187) )
& ( ~ aNaturalNumber0(X188)
| ~ doDivides0(X188,X187)
| X188 = sz10
| X188 = X187
| ~ isPrime0(X187)
| ~ aNaturalNumber0(X187) )
& ( aNaturalNumber0(esk3_1(X187))
| X187 = sz00
| X187 = sz10
| isPrime0(X187)
| ~ aNaturalNumber0(X187) )
& ( doDivides0(esk3_1(X187),X187)
| X187 = sz00
| X187 = sz10
| isPrime0(X187)
| ~ aNaturalNumber0(X187) )
& ( esk3_1(X187) != sz10
| X187 = sz00
| X187 = sz10
| isPrime0(X187)
| ~ aNaturalNumber0(X187) )
& ( esk3_1(X187) != X187
| X187 = sz00
| X187 = sz10
| isPrime0(X187)
| ~ aNaturalNumber0(X187) ) ),
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_73,plain,
! [X112,X113] :
( ~ aNaturalNumber0(X112)
| ~ aNaturalNumber0(X113)
| aNaturalNumber0(sdtasdt0(X112,X113)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_74,plain,
! [X110,X111] :
( ~ aNaturalNumber0(X110)
| ~ aNaturalNumber0(X111)
| aNaturalNumber0(sdtpldt0(X110,X111)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_75,plain,
! [X153,X154] :
( ( X154 != X153
| sdtlseqdt0(X153,X154)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154) )
& ( sdtlseqdt0(X154,X153)
| sdtlseqdt0(X153,X154)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
fof(i_0_76,plain,
! [X120,X121] :
( ~ aNaturalNumber0(X120)
| ~ aNaturalNumber0(X121)
| sdtasdt0(X120,X121) = sdtasdt0(X121,X120) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_77,plain,
! [X114,X115] :
( ~ aNaturalNumber0(X114)
| ~ aNaturalNumber0(X115)
| sdtpldt0(X114,X115) = sdtpldt0(X115,X114) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_78,plain,
! [X138,X139] :
( ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139)
| sdtasdt0(X138,X139) != sz00
| X138 = sz00
| X139 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(i_0_79,hypothesis,
! [X208,X209] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X209)
| xr != sdtasdt0(X208,X209)
| ~ aNaturalNumber0(X208)
| X208 = sz10
| X208 = xr )
& ( ~ doDivides0(X208,xr)
| ~ aNaturalNumber0(X208)
| X208 = sz10
| X208 = xr )
& isPrime0(xr) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])]) ).
fof(i_0_80,hypothesis,
! [X200,X201] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X201)
| xp != sdtasdt0(X200,X201)
| ~ aNaturalNumber0(X200)
| X200 = sz10
| X200 = xp )
& ( ~ doDivides0(X200,xp)
| ~ aNaturalNumber0(X200)
| X200 = sz10
| X200 = 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_81,plain,
! [X136,X137] :
( ( X136 = sz00
| sdtpldt0(X136,X137) != sz00
| ~ aNaturalNumber0(X136)
| ~ aNaturalNumber0(X137) )
& ( X137 = sz00
| sdtpldt0(X136,X137) != sz00
| ~ aNaturalNumber0(X136)
| ~ aNaturalNumber0(X137) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(i_0_82,hypothesis,
( aNaturalNumber0(esk13_0)
& sdtpldt0(xr,esk13_0) = xk
& aNaturalNumber0(esk14_0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2362])]) ).
fof(i_0_83,plain,
! [X190] :
( ( aNaturalNumber0(esk4_1(X190))
| ~ aNaturalNumber0(X190)
| X190 = sz00
| X190 = sz10 )
& ( doDivides0(esk4_1(X190),X190)
| ~ aNaturalNumber0(X190)
| X190 = sz00
| X190 = sz10 )
& ( isPrime0(esk4_1(X190))
| ~ aNaturalNumber0(X190)
| X190 = sz00
| X190 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(i_0_84,hypothesis,
! [X204] :
( ( ~ aNaturalNumber0(X204)
| sdtpldt0(xp,X204) != xm )
& ~ sdtlseqdt0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])]) ).
fof(i_0_85,hypothesis,
! [X203] :
( ( ~ aNaturalNumber0(X203)
| sdtpldt0(xp,X203) != xn )
& ~ sdtlseqdt0(xp,xn) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])]) ).
fof(i_0_86,plain,
! [X161] :
( ( sz10 != X161
| X161 = sz00
| X161 = sz10
| ~ aNaturalNumber0(X161) )
& ( sdtlseqdt0(sz10,X161)
| X161 = sz00
| X161 = sz10
| ~ aNaturalNumber0(X161) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(i_0_87,plain,
! [X147] :
( ~ aNaturalNumber0(X147)
| sdtlseqdt0(X147,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_88,plain,
! [X125] :
( ( sdtasdt0(X125,sz10) = X125
| ~ aNaturalNumber0(X125) )
& ( X125 = sdtasdt0(sz10,X125)
| ~ aNaturalNumber0(X125) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(i_0_89,plain,
! [X119] :
( ( sdtpldt0(X119,sz00) = X119
| ~ aNaturalNumber0(X119) )
& ( X119 = sdtpldt0(sz00,X119)
| ~ aNaturalNumber0(X119) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(i_0_90,plain,
! [X126] :
( ( sdtasdt0(X126,sz00) = sz00
| ~ aNaturalNumber0(X126) )
& ( sz00 = sdtasdt0(sz00,X126)
| ~ aNaturalNumber0(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(i_0_91,hypothesis,
( xk != xp
& aNaturalNumber0(esk15_0)
& sdtpldt0(xk,esk15_0) = xp
& sdtlseqdt0(xk,xp) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2377])]) ).
fof(i_0_92,hypothesis,
( xn != xp
& aNaturalNumber0(esk10_0)
& sdtpldt0(xn,esk10_0) = xp
& sdtlseqdt0(xn,xp)
& xm != xp
& aNaturalNumber0(esk11_0)
& sdtpldt0(xm,esk11_0) = xp
& sdtlseqdt0(xm,xp) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2287])]) ).
fof(i_0_93,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(i_0_94,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_95,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_96,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_97,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_98,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_99,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_100,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_101,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_102,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_103,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_104,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_105,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_106,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_107,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_108,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_109,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_110,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_111,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_112,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sdtasdt0(esk5_3(X3,X1,X2),esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_113,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_114,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_115,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_116,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_117,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_118,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_119,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_120,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_121,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_122,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sdtasdt0(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_123,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_124,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_125,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_126,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_127,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_128,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_129,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_130,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_131,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_132,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_133,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_134,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_135,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_136,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_137,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_138,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_139,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_140,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_141,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_142,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_143,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_144,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_145,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_146,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_147,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_148,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_149,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_150,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_151,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_152,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_153,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_154,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_155,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_156,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_157,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_158,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_159,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_160,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sdtasdt0(esk5_3(X3,X2,X1),esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_161,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_162,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| doDivides0(esk5_3(X3,X1,X2),X2)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_163,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_164,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_165,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_166,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_167,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_168,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_169,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| X3 = sdtasdt0(X2,esk7_3(X3,X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_170,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_171,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_172,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| aNaturalNumber0(esk6_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_173,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| aNaturalNumber0(esk5_3(X3,X1,X2))
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_174,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_175,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| doDivides0(esk5_3(X1,X2,X3),X3)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_176,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_177,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| aNaturalNumber0(esk7_3(X3,X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_178,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| X1 = sdtasdt0(X3,esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_179,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_180,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_181,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| aNaturalNumber0(esk6_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_182,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| aNaturalNumber0(esk5_3(X1,X2,X3))
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_183,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_184,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_185,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_186,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_187,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| aNaturalNumber0(esk7_3(X1,X2,X3))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_188,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_189,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_190,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_191,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_192,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_193,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_194,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_195,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| X2 = sz00
| X2 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| esk5_3(X3,X1,X2) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_196,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_197,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != X3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_198,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_199,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| X3 = sz00
| X3 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| esk5_3(X1,X2,X3) != sz10
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_200,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_201,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X2,sdtasdt0(X3,X1))
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_202,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_203,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_204,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_205,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| doDivides0(esk5_3(X3,X2,X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_206,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_207,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_208,hypothesis,
( X1 = sdtasdt0(X2,esk8_3(X3,X1,X2))
| doDivides0(X2,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X4)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_209,hypothesis,
( doDivides0(X1,X2)
| X3 = sdtasdt0(X1,esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_210,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk6_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_211,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| aNaturalNumber0(esk5_3(X3,X2,X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_212,hypothesis,
( doDivides0(X1,X2)
| aNaturalNumber0(esk7_3(X3,X2,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_213,hypothesis,
( aNaturalNumber0(esk8_3(X1,X2,X3))
| doDivides0(X3,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X1,X2) != sdtasdt0(X3,X4)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_214,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_215,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_216,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_217,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| X1 = sz00
| X1 = sz10
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| esk5_3(X3,X2,X1) != sz10
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_218,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_219,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_220,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_221,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X1) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_222,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_52]),
[final] ).
cnf(i_0_223,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_52]),
[final] ).
cnf(i_0_224,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_53]),
[final] ).
cnf(i_0_225,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_54]),
[final] ).
cnf(i_0_226,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_55]),
[final] ).
cnf(i_0_227,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_55]),
[final] ).
cnf(i_0_228,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_56]),
[final] ).
cnf(i_0_229,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_56]),
[final] ).
cnf(i_0_230,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_57]),
[final] ).
cnf(i_0_231,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_232,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_233,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_55]),
[final] ).
cnf(i_0_234,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_55]),
[final] ).
cnf(i_0_235,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_56]),
[final] ).
cnf(i_0_236,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_56]),
[final] ).
cnf(i_0_237,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_60]),
[final] ).
cnf(i_0_238,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_61]),
[final] ).
cnf(i_0_239,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_240,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_241,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_242,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_243,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_60]),
[final] ).
cnf(i_0_244,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_245,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_246,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_247,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_248,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_249,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_250,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_251,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_252,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_253,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_254,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_255,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_256,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_257,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_258,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_259,plain,
( X1 = sz10
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_260,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_261,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_262,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_263,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_264,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_265,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_266,hypothesis,
( X2 = sz10
| X2 = xr
| ~ aNaturalNumber0(X1)
| xr != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_267,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_268,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_269,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_270,plain,
( doDivides0(esk3_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_271,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_272,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_273,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_274,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_275,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_276,hypothesis,
( X1 = sz10
| X1 = xr
| ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_277,hypothesis,
( X1 = sz10
| X1 = xp
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_278,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_279,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_280,plain,
( aNaturalNumber0(esk3_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_281,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_282,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_283,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_284,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_285,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_286,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_287,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_288,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_289,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_290,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_291,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_292,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_293,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_294,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_295,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_296,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_297,hypothesis,
~ sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_298,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_299,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_300,hypothesis,
doDivides0(xr,xk),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_301,hypothesis,
sdtlseqdt0(xk,xp),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_302,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_303,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_304,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_305,hypothesis,
sdtpldt0(xk,esk15_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_306,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_307,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_308,hypothesis,
xk = sdtasdt0(xr,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_309,hypothesis,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_310,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_311,hypothesis,
aNaturalNumber0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_312,hypothesis,
aNaturalNumber0(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_313,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_314,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_315,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_316,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_317,hypothesis,
aNaturalNumber0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_318,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_319,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_320,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_321,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_322,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_323,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_324,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_325,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_326,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_327,hypothesis,
xk != xp,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_328,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_329,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_330,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_331,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_332,hypothesis,
xm != xp,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_333,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_334,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_335,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_336,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_337,axiom,
X1 = X1 ).
cnf(i_0_338,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_339,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_340,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_341,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_342,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_343,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_344,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_345,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_346,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_347,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_348,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_349,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_350,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_351,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_352,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_353,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_354,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_355,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_356,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_357,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_358,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_359,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_602,plain,
aNaturalNumber0(sdtmndt0(xp,xk)),
inference(scs_inference,[],[i_0_545,i_0_587,i_0_571,i_0_311,i_0_327,i_0_307,i_0_287,i_0_338,i_0_339,i_0_356]) ).
cnf(i_0_603,plain,
sdtlseqdt0(sdtmndt0(esk9_0,xr),esk13_0),
inference(scs_inference,[],[i_0_545,i_0_528,i_0_564,i_0_587,i_0_571,i_0_311,i_0_327,i_0_307,i_0_313,i_0_287,i_0_338,i_0_339,i_0_356,i_0_274]) ).
cnf(i_0_607,plain,
sdtlseqdt0(esk15_0,sdtmndt0(xp,xk)),
inference(scs_inference,[],[i_0_432,i_0_545,i_0_528,i_0_564,i_0_587,i_0_571,i_0_311,i_0_327,i_0_307,i_0_581,i_0_313,i_0_287,i_0_338,i_0_339,i_0_356,i_0_274,i_0_414,i_0_254]) ).
cnf(i_0_609,plain,
sdtmndt0(esk15_0,esk15_0) = sdtmndt0(sdtmndt0(xp,xk),esk15_0),
inference(scs_inference,[],[i_0_432,i_0_545,i_0_528,i_0_564,i_0_587,i_0_571,i_0_311,i_0_327,i_0_307,i_0_581,i_0_313,i_0_287,i_0_338,i_0_339,i_0_356,i_0_274,i_0_414,i_0_254,i_0_238]) ).
cnf(i_0_614,plain,
~ sdtlseqdt0(xp,xn),
inference(equality_inference,[],[611]) ).
cnf(i_0_615,plain,
sdtlseqdt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk)),
inference(scs_inference,[],[i_0_602,i_0_287]) ).
cnf(i_0_617,plain,
sdtmndt0(sdtasdt0(xr,esk12_0),xr) = esk13_0,
inference(scs_inference,[],[i_0_506,i_0_602,i_0_287,i_0_338]) ).
cnf(i_0_619,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(scs_inference,[],[i_0_463,i_0_506,i_0_602,i_0_609,i_0_479,i_0_314,i_0_287,i_0_338,i_0_339,i_0_356]) ).
cnf(i_0_620,plain,
sdtpldt0(sdtmndt0(xp,xk),sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk))) = sdtmndt0(xp,xk),
inference(scs_inference,[],[i_0_463,i_0_506,i_0_602,i_0_609,i_0_479,i_0_314,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408]) ).
cnf(i_0_624,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk))),
inference(scs_inference,[],[i_0_463,i_0_465,i_0_506,i_0_502,i_0_602,i_0_516,i_0_609,i_0_479,i_0_314,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274,i_0_414]) ).
cnf(i_0_626,plain,
aNaturalNumber0(sdtpldt0(sdtmndt0(xp,xk),sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk)))),
inference(scs_inference,[],[i_0_463,i_0_465,i_0_506,i_0_502,i_0_602,i_0_516,i_0_609,i_0_479,i_0_314,i_0_301,i_0_320,i_0_319,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274,i_0_414,i_0_252]) ).
cnf(i_0_632,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xm),
inference(equality_inference,[],[628]) ).
cnf(i_0_633,plain,
sdtlseqdt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr)),
inference(scs_inference,[],[i_0_619,i_0_287]) ).
cnf(i_0_635,plain,
sdtmndt0(esk9_0,xr) = esk13_0,
inference(scs_inference,[],[i_0_528,i_0_619,i_0_287,i_0_338]) ).
cnf(i_0_636,plain,
sdtmndt0(sdtasdt0(xr,esk12_0),xr) = sdtmndt0(xk,xr),
inference(scs_inference,[],[i_0_442,i_0_528,i_0_619,i_0_617,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_637,plain,
aNaturalNumber0(sdtmndt0(xp,xm)),
inference(scs_inference,[],[i_0_442,i_0_477,i_0_528,i_0_619,i_0_617,i_0_315,i_0_287,i_0_338,i_0_339,i_0_356]) ).
cnf(i_0_638,plain,
sdtpldt0(sdtsldt0(xk,xr),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr))) = sdtsldt0(xk,xr),
inference(scs_inference,[],[i_0_442,i_0_477,i_0_528,i_0_619,i_0_617,i_0_315,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408]) ).
cnf(i_0_640,plain,
sdtlseqdt0(sdtmndt0(xp,xm),esk11_0),
inference(scs_inference,[],[i_0_442,i_0_477,i_0_528,i_0_619,i_0_617,i_0_315,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274]) ).
cnf(i_0_642,plain,
aNaturalNumber0(sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_442,i_0_477,i_0_528,i_0_619,i_0_617,i_0_315,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274,i_0_414]) ).
cnf(i_0_644,plain,
sdtpldt0(xr,sdtmndt0(sdtasdt0(xr,esk12_0),xr)) = xk,
inference(scs_inference,[],[i_0_442,i_0_477,i_0_528,i_0_619,i_0_440,i_0_617,i_0_315,i_0_319,i_0_318,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274,i_0_414,i_0_244]) ).
cnf(i_0_646,plain,
aNaturalNumber0(sdtpldt0(sdtsldt0(xk,xr),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr)))),
inference(scs_inference,[],[i_0_442,i_0_477,i_0_528,i_0_619,i_0_440,i_0_326,i_0_617,i_0_300,i_0_315,i_0_319,i_0_318,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274,i_0_414,i_0_244,i_0_251]) ).
cnf(i_0_773,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk)),sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk))),
inference(scs_inference,[],[i_0_624,i_0_287]) ).
cnf(i_0_652,plain,
~ sdtlseqdt0(sdtpldt0(xk,esk15_0),xm),
inference(equality_inference,[],[648]) ).
cnf(i_0_653,plain,
sdtlseqdt0(sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr)),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_642,i_0_287]) ).
cnf(i_0_655,plain,
sdtmndt0(esk9_0,xr) = sdtpldt0(sdtmndt0(esk9_0,xr),sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(esk9_0,xr))),
inference(scs_inference,[],[i_0_585,i_0_642,i_0_287,i_0_338]) ).
cnf(i_0_656,plain,
sdtmndt0(esk9_0,xr) = sdtmndt0(xk,xr),
inference(scs_inference,[],[i_0_442,i_0_585,i_0_642,i_0_635,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_657,plain,
aNaturalNumber0(sdtmndt0(xp,xn)),
inference(scs_inference,[],[i_0_442,i_0_551,i_0_585,i_0_642,i_0_635,i_0_316,i_0_287,i_0_338,i_0_339,i_0_356]) ).
cnf(i_0_658,plain,
sdtlseqdt0(sdtmndt0(xp,xn),esk10_0),
inference(scs_inference,[],[i_0_442,i_0_551,i_0_585,i_0_642,i_0_635,i_0_316,i_0_287,i_0_338,i_0_339,i_0_356,i_0_274]) ).
cnf(i_0_662,plain,
sdtpldt0(xr,sdtmndt0(esk9_0,xr)) = xk,
inference(scs_inference,[],[i_0_442,i_0_551,i_0_585,i_0_642,i_0_440,i_0_635,i_0_316,i_0_319,i_0_318,i_0_287,i_0_338,i_0_339,i_0_356,i_0_274,i_0_414,i_0_244]) ).
cnf(i_0_710,plain,
sdtlseqdt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm)),
inference(scs_inference,[],[i_0_637,i_0_287]) ).
cnf(i_0_712,plain,
sdtsldt0(xk,xr) = sdtpldt0(sdtsldt0(xk,xr),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr))),
inference(scs_inference,[],[i_0_638,i_0_637,i_0_287,i_0_338]) ).
cnf(i_0_713,plain,
xk != sdtpldt0(xk,esk15_0),
inference(scs_inference,[],[i_0_638,i_0_637,i_0_305,i_0_327,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_714,plain,
sdtpldt0(sdtmndt0(xp,xm),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))) = sdtmndt0(xp,xm),
inference(scs_inference,[],[i_0_638,i_0_637,i_0_305,i_0_327,i_0_287,i_0_338,i_0_339,i_0_408]) ).
cnf(i_0_716,plain,
sdtlseqdt0(sdtsldt0(xk,xr),sdtpldt0(sdtsldt0(xk,xr),sdtmndt0(sdtsldt0(xk,xr),sdtsldt0(xk,xr)))),
inference(scs_inference,[],[i_0_638,i_0_619,i_0_646,i_0_637,i_0_305,i_0_327,i_0_287,i_0_338,i_0_339,i_0_408,i_0_274]) ).
cnf(i_0_718,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))),
inference(scs_inference,[],[i_0_638,i_0_619,i_0_646,i_0_637,i_0_305,i_0_327,i_0_287,i_0_338,i_0_339,i_0_408,i_0_274,i_0_414]) ).
cnf(i_0_722,plain,
aNaturalNumber0(sdtpldt0(sdtmndt0(xp,xm),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm)))),
inference(scs_inference,[],[i_0_638,i_0_619,i_0_642,i_0_646,i_0_637,i_0_305,i_0_327,i_0_302,i_0_321,i_0_320,i_0_287,i_0_338,i_0_339,i_0_408,i_0_274,i_0_414,i_0_406,i_0_252]) ).
cnf(i_0_668,plain,
~ sdtlseqdt0(sdtpldt0(xk,esk15_0),xn),
inference(equality_inference,[],[664]) ).
cnf(i_0_669,plain,
sdtlseqdt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn)),
inference(scs_inference,[],[i_0_657,i_0_287]) ).
cnf(i_0_671,plain,
sdtmndt0(xp,xk) = esk15_0,
inference(scs_inference,[],[i_0_571,i_0_657,i_0_287,i_0_338]) ).
cnf(i_0_672,plain,
sdtmndt0(esk9_0,xr) = sdtmndt0(sdtasdt0(xr,esk12_0),xr),
inference(scs_inference,[],[i_0_506,i_0_571,i_0_657,i_0_635,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_673,plain,
sdtpldt0(sdtmndt0(xp,xn),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))) = sdtmndt0(xp,xn),
inference(scs_inference,[],[i_0_506,i_0_571,i_0_657,i_0_635,i_0_287,i_0_338,i_0_339,i_0_408]) ).
cnf(i_0_677,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))),
inference(scs_inference,[],[i_0_506,i_0_585,i_0_571,i_0_564,i_0_657,i_0_591,i_0_635,i_0_287,i_0_338,i_0_339,i_0_408,i_0_274,i_0_414]) ).
cnf(i_0_681,plain,
sdtpldt0(xr,sdtmndt0(esk9_0,xr)) = sdtasdt0(xr,esk12_0),
inference(scs_inference,[],[i_0_506,i_0_585,i_0_571,i_0_587,i_0_564,i_0_657,i_0_591,i_0_473,i_0_425,i_0_635,i_0_318,i_0_287,i_0_338,i_0_339,i_0_408,i_0_274,i_0_414,i_0_406,i_0_244]) ).
cnf(i_0_683,plain,
aNaturalNumber0(sdtpldt0(sdtmndt0(xp,xn),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn)))),
inference(scs_inference,[],[i_0_506,i_0_585,i_0_571,i_0_587,i_0_564,i_0_657,i_0_591,i_0_473,i_0_425,i_0_303,i_0_635,i_0_322,i_0_320,i_0_318,i_0_287,i_0_338,i_0_339,i_0_408,i_0_274,i_0_414,i_0_406,i_0_244,i_0_252]) ).
cnf(i_0_728,plain,
~ sdtlseqdt0(sdtpldt0(xn,esk10_0),xn),
inference(equality_inference,[],[724]) ).
cnf(i_0_729,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm)),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))),
inference(scs_inference,[],[i_0_718,i_0_287]) ).
cnf(i_0_731,plain,
sdtmndt0(sdtmndt0(xp,xk),esk15_0) = sdtmndt0(esk15_0,esk15_0),
inference(scs_inference,[],[i_0_609,i_0_718,i_0_287,i_0_338]) ).
cnf(i_0_732,plain,
xk != sdtpldt0(xk,sdtpldt0(esk15_0,sdtmndt0(esk15_0,esk15_0))),
inference(scs_inference,[],[i_0_609,i_0_718,i_0_327,i_0_589,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_733,plain,
sdtlseqdt0(sdtmndt0(xp,xk),esk15_0),
inference(scs_inference,[],[i_0_602,i_0_571,i_0_609,i_0_718,i_0_311,i_0_327,i_0_589,i_0_287,i_0_338,i_0_339,i_0_274]) ).
cnf(i_0_737,plain,
sdtpldt0(esk15_0,sdtmndt0(sdtmndt0(xp,xk),esk15_0)) = esk15_0,
inference(scs_inference,[],[i_0_602,i_0_571,i_0_609,i_0_718,i_0_311,i_0_327,i_0_589,i_0_422,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_244]) ).
cnf(i_0_739,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(xp,xk),esk15_0)),
inference(scs_inference,[],[i_0_602,i_0_571,i_0_609,i_0_718,i_0_311,i_0_327,i_0_589,i_0_422,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_244,i_0_252]) ).
cnf(i_0_742,plain,
sdtlseqdt0(sdtmndt0(esk15_0,esk15_0),sdtmndt0(sdtmndt0(xp,xk),esk15_0)),
inference(scs_inference,[],[i_0_447,i_0_432,i_0_465,i_0_602,i_0_571,i_0_609,i_0_718,i_0_311,i_0_327,i_0_589,i_0_618,i_0_422,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_244,i_0_252,i_0_355,i_0_254]) ).
cnf(i_0_690,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xm),
inference(equality_inference,[],[685]) ).
cnf(i_0_691,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn)),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))),
inference(scs_inference,[],[i_0_677,i_0_287]) ).
cnf(i_0_693,plain,
sdtmndt0(xp,xk) = sdtpldt0(sdtmndt0(xp,xk),sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk))),
inference(scs_inference,[],[i_0_620,i_0_677,i_0_287,i_0_338]) ).
cnf(i_0_694,plain,
sdtmndt0(sdtasdt0(xr,esk12_0),xr) = sdtmndt0(esk9_0,xr),
inference(scs_inference,[],[i_0_528,i_0_620,i_0_677,i_0_617,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_695,plain,
sdtlseqdt0(sdtmndt0(xp,xk),sdtpldt0(sdtmndt0(xp,xk),sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk)))),
inference(scs_inference,[],[i_0_528,i_0_620,i_0_602,i_0_677,i_0_626,i_0_617,i_0_287,i_0_338,i_0_339,i_0_274]) ).
cnf(i_0_701,plain,
sdtpldt0(xr,sdtmndt0(sdtasdt0(xr,esk12_0),xr)) = esk9_0,
inference(scs_inference,[],[i_0_528,i_0_620,i_0_602,i_0_677,i_0_626,i_0_624,i_0_504,i_0_617,i_0_317,i_0_318,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_406,i_0_244]) ).
cnf(i_0_751,plain,
~ doDivides0(xk,sdtpldt0(xk,esk15_0)),
inference(equality_inference,[],[741]) ).
cnf(i_0_756,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xp,xk),esk15_0),sdtmndt0(esk15_0,esk15_0)),
inference(scs_inference,[],[i_0_432,i_0_545,i_0_502,i_0_609,i_0_538,i_0_739,i_0_518,i_0_287,i_0_338,i_0_339,i_0_274]) ).
cnf(i_0_758,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtasdt0(xr,esk12_0),xr),sdtmndt0(sdtasdt0(xr,esk12_0),xr))),
inference(scs_inference,[],[i_0_432,i_0_545,i_0_502,i_0_609,i_0_538,i_0_739,i_0_518,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414]) ).
cnf(i_0_760,plain,
sdtlseqdt0(sdtmndt0(xk,xr),sdtmndt0(sdtasdt0(xr,esk12_0),xr)),
inference(scs_inference,[],[i_0_432,i_0_526,i_0_545,i_0_543,i_0_502,i_0_609,i_0_538,i_0_739,i_0_518,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254]) ).
cnf(i_0_762,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(xp,xk),esk15_0),sdtmndt0(sdtmndt0(xp,xk),esk15_0)),
inference(scs_inference,[],[i_0_432,i_0_526,i_0_545,i_0_543,i_0_502,i_0_609,i_0_538,i_0_742,i_0_739,i_0_518,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254,i_0_240]) ).
cnf(i_0_775,plain,
sdtmndt0(xp,xn) = sdtpldt0(sdtmndt0(xp,xn),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))),
inference(scs_inference,[],[i_0_673,i_0_624,i_0_287,i_0_338]) ).
cnf(i_0_776,plain,
sdtpldt0(sdtmndt0(xk,xr),sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr))) = sdtmndt0(esk9_0,xr),
inference(scs_inference,[],[i_0_545,i_0_673,i_0_624,i_0_540,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_777,plain,
sdtlseqdt0(sdtmndt0(xp,xn),sdtpldt0(sdtmndt0(xp,xn),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn)))),
inference(scs_inference,[],[i_0_545,i_0_673,i_0_657,i_0_683,i_0_624,i_0_540,i_0_287,i_0_338,i_0_339,i_0_274]) ).
cnf(i_0_781,plain,
sdtlseqdt0(sdtmndt0(xk,xr),sdtmndt0(esk9_0,xr)),
inference(scs_inference,[],[i_0_526,i_0_545,i_0_543,i_0_564,i_0_673,i_0_657,i_0_683,i_0_624,i_0_540,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254]) ).
cnf(i_0_785,plain,
sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr)) = sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_526,i_0_545,i_0_543,i_0_564,i_0_673,i_0_657,i_0_683,i_0_677,i_0_624,i_0_540,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254,i_0_406,i_0_238]) ).
cnf(i_0_708,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xn),
inference(equality_inference,[],[703]) ).
cnf(i_0_709,plain,
~ sdtlseqdt0(sdtpldt0(xm,esk11_0),xn),
inference(equality_inference,[],[705]) ).
cnf(i_0_772,plain,
~ doDivides0(xk,sdtpldt0(xn,esk10_0)),
inference(equality_inference,[],[766]) ).
cnf(i_0_792,plain,
~ doDivides0(xk,sdtpldt0(xm,esk11_0)),
inference(equality_inference,[],[787]) ).
cnf(i_0_801,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtmndt0(xp,xk),esk15_0),sdtmndt0(sdtmndt0(xp,xk),esk15_0))),
inference(scs_inference,[],[i_0_543,i_0_569,i_0_739,i_0_785,i_0_582,i_0_425,i_0_762,i_0_287,i_0_338,i_0_339,i_0_408,i_0_274,i_0_414]) ).
cnf(i_0_809,plain,
~ doDivides0(sdtpldt0(xr,esk13_0),sdtpldt0(xm,esk11_0)),
inference(equality_inference,[],[803]) ).
cnf(i_0_814,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr))),
inference(scs_inference,[],[i_0_585,i_0_744,i_0_582,i_0_672,i_0_314,i_0_796,i_0_287,i_0_338,i_0_339,i_0_356]) ).
cnf(i_0_815,plain,
sdtpldt0(esk12_0,sdtmndt0(esk12_0,esk12_0)) = esk12_0,
inference(scs_inference,[],[i_0_585,i_0_744,i_0_582,i_0_672,i_0_314,i_0_796,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408]) ).
cnf(i_0_817,plain,
sdtlseqdt0(sdtmndt0(xp,xm),sdtpldt0(sdtmndt0(xp,xm),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm)))),
inference(scs_inference,[],[i_0_585,i_0_637,i_0_744,i_0_714,i_0_722,i_0_582,i_0_672,i_0_314,i_0_796,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274]) ).
cnf(i_0_819,plain,
aNaturalNumber0(sdtmndt0(sdtasdt0(xr,esk12_0),sdtasdt0(xr,esk12_0))),
inference(scs_inference,[],[i_0_585,i_0_637,i_0_744,i_0_714,i_0_722,i_0_582,i_0_425,i_0_672,i_0_314,i_0_796,i_0_793,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274,i_0_414]) ).
cnf(i_0_821,plain,
sdtlseqdt0(sdtmndt0(esk9_0,xr),sdtmndt0(sdtasdt0(xr,esk12_0),xr)),
inference(scs_inference,[],[i_0_564,i_0_587,i_0_585,i_0_637,i_0_744,i_0_714,i_0_722,i_0_538,i_0_582,i_0_425,i_0_672,i_0_314,i_0_796,i_0_793,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274,i_0_414,i_0_254]) ).
cnf(i_0_827,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtmndt0(xp,xk),esk15_0),sdtmndt0(esk15_0,esk15_0))),
inference(scs_inference,[],[i_0_432,i_0_564,i_0_587,i_0_585,i_0_637,i_0_744,i_0_714,i_0_722,i_0_718,i_0_538,i_0_582,i_0_425,i_0_672,i_0_314,i_0_796,i_0_793,i_0_453,i_0_287,i_0_338,i_0_339,i_0_356,i_0_408,i_0_274,i_0_414,i_0_254,i_0_406,i_0_244,i_0_252]) ).
cnf(i_0_835,plain,
~ doDivides0(sdtpldt0(xr,esk13_0),sdtpldt0(xk,esk15_0)),
inference(equality_inference,[],[831]) ).
cnf(i_0_838,plain,
sdtmndt0(xp,xm) = sdtpldt0(sdtmndt0(xp,xm),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))),
inference(scs_inference,[],[i_0_714,i_0_814,i_0_287,i_0_338]) ).
cnf(i_0_839,plain,
sdtpldt0(esk12_0,sdtmndt0(esk12_0,esk12_0)) = sdtsldt0(xk,xr),
inference(scs_inference,[],[i_0_714,i_0_814,i_0_815,i_0_479,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_847,plain,
aNaturalNumber0(sdtpldt0(esk12_0,sdtmndt0(esk12_0,esk12_0))),
inference(scs_inference,[],[i_0_465,i_0_744,i_0_714,i_0_718,i_0_814,i_0_823,i_0_827,i_0_815,i_0_326,i_0_311,i_0_479,i_0_319,i_0_825,i_0_300,i_0_422,i_0_318,i_0_287,i_0_338,i_0_339,i_0_356,i_0_274,i_0_414,i_0_252,i_0_251]) ).
cnf(i_0_858,plain,
sdtpldt0(sdtmndt0(esk9_0,xr),sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(esk9_0,xr))) = sdtmndt0(xk,xr),
inference(scs_inference,[],[i_0_585,i_0_764,i_0_819,i_0_656,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_863,plain,
sdtlseqdt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_526,i_0_564,i_0_587,i_0_585,i_0_764,i_0_679,i_0_819,i_0_686,i_0_656,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254]) ).
cnf(i_0_867,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtasdt0(xr,esk12_0),xr),sdtmndt0(xk,xr))),
inference(scs_inference,[],[i_0_526,i_0_564,i_0_587,i_0_585,i_0_764,i_0_679,i_0_819,i_0_686,i_0_656,i_0_535,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254,i_0_244,i_0_252]) ).
cnf(i_0_869,plain,
sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(esk9_0,xr)) = sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(esk9_0,xr)),
inference(scs_inference,[],[i_0_526,i_0_564,i_0_587,i_0_585,i_0_764,i_0_679,i_0_819,i_0_686,i_0_656,i_0_535,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254,i_0_244,i_0_252,i_0_238]) ).
cnf(i_0_853,plain,
~ doDivides0(sdtpldt0(xr,esk13_0),sdtpldt0(xn,esk10_0)),
inference(equality_inference,[],[849]) ).
cnf(i_0_854,plain,
~ doDivides0(sdtpldt0(xr,esk13_0),sdtpldt0(xn,esk10_0)),
inference(equality_inference,[],[850]) ).
cnf(i_0_874,plain,
~ doDivides0(sdtpldt0(xr,esk13_0),sdtpldt0(xm,esk11_0)),
inference(equality_inference,[],[871]) ).
cnf(i_0_875,plain,
sdtlseqdt0(sdtpldt0(esk12_0,sdtmndt0(esk12_0,esk12_0)),sdtpldt0(esk12_0,sdtmndt0(esk12_0,esk12_0))),
inference(scs_inference,[],[i_0_847,i_0_287]) ).
cnf(i_0_914,plain,
sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr)) = sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr)),
inference(scs_inference,[],[i_0_785,i_0_867,i_0_287,i_0_338]) ).
cnf(i_0_915,plain,
esk11_0 = sdtpldt0(sdtmndt0(xp,xm),sdtmndt0(sdtmndt0(xp,xm),sdtmndt0(xp,xm))),
inference(scs_inference,[],[i_0_477,i_0_785,i_0_867,i_0_838,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_916,plain,
sdtlseqdt0(sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr)),sdtmndt0(sdtmndt0(xk,xr),sdtmndt0(xk,xr))),
inference(scs_inference,[],[i_0_543,i_0_477,i_0_785,i_0_814,i_0_867,i_0_838,i_0_287,i_0_338,i_0_339,i_0_274]) ).
cnf(i_0_918,plain,
sdtpldt0(sdtmndt0(xk,xr),sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr))) = sdtmndt0(xk,xr),
inference(scs_inference,[],[i_0_526,i_0_543,i_0_477,i_0_785,i_0_814,i_0_867,i_0_838,i_0_535,i_0_287,i_0_338,i_0_339,i_0_274,i_0_244]) ).
cnf(i_0_920,plain,
aNaturalNumber0(sdtpldt0(sdtmndt0(xk,xr),sdtmndt0(sdtmndt0(esk9_0,xr),sdtmndt0(xk,xr)))),
inference(scs_inference,[],[i_0_526,i_0_543,i_0_477,i_0_785,i_0_814,i_0_867,i_0_440,i_0_319,i_0_838,i_0_535,i_0_318,i_0_287,i_0_338,i_0_339,i_0_274,i_0_244,i_0_252]) ).
cnf(i_0_893,plain,
~ doDivides0(sdtpldt0(xr,esk13_0),sdtpldt0(xn,esk10_0)),
inference(equality_inference,[],[887]) ).
cnf(i_0_900,plain,
aNaturalNumber0(sdtmndt0(esk12_0,esk12_0)),
inference(scs_inference,[],[i_0_642,i_0_720,i_0_827,i_0_869,i_0_725,i_0_314,i_0_877,i_0_810,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414]) ).
cnf(i_0_902,plain,
sdtlseqdt0(esk12_0,sdtsldt0(xk,xr)),
inference(scs_inference,[],[i_0_619,i_0_642,i_0_720,i_0_827,i_0_869,i_0_725,i_0_314,i_0_839,i_0_877,i_0_810,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254]) ).
cnf(i_0_904,plain,
sdtmndt0(esk12_0,esk12_0) = sdtmndt0(sdtsldt0(xk,xr),esk12_0),
inference(scs_inference,[],[i_0_619,i_0_642,i_0_720,i_0_827,i_0_869,i_0_725,i_0_314,i_0_839,i_0_877,i_0_810,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254,i_0_238]) ).
cnf(i_0_907,plain,
aNaturalNumber0(sdtmndt0(sdtsldt0(xk,xr),esk12_0)),
inference(scs_inference,[],[i_0_619,i_0_642,i_0_720,i_0_827,i_0_869,i_0_725,i_0_314,i_0_839,i_0_460,i_0_877,i_0_810,i_0_287,i_0_338,i_0_339,i_0_274,i_0_414,i_0_254,i_0_238,i_0_354,i_0_356]) ).
cnf(i_0_926,plain,
aNaturalNumber0(sdtasdt0(xr,esk12_0)),
inference(equality_inference,[],[922]) ).
cnf(i_0_911,plain,
~ doDivides0(sdtpldt0(xr,esk13_0),sdtpldt0(xk,esk15_0)),
inference(equality_inference,[],[906]) ).
cnf(i_0_927,plain,
sdtlseqdt0(sdtmndt0(sdtsldt0(xk,xr),esk12_0),sdtmndt0(sdtsldt0(xk,xr),esk12_0)),
inference(scs_inference,[],[i_0_907,i_0_287]) ).
cnf(i_0_930,plain,
esk10_0 = sdtpldt0(sdtmndt0(xp,xn),sdtmndt0(sdtmndt0(xp,xn),sdtmndt0(xp,xn))),
inference(scs_inference,[],[i_0_551,i_0_699,i_0_907,i_0_775,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_931,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtsldt0(xk,xr),esk12_0),sdtmndt0(sdtsldt0(xk,xr),esk12_0))),
inference(scs_inference,[],[i_0_551,i_0_699,i_0_907,i_0_775,i_0_287,i_0_338,i_0_339,i_0_414]) ).
cnf(i_0_940,plain,
sdtlseqdt0(sdtmndt0(esk12_0,esk12_0),sdtmndt0(esk12_0,esk12_0)),
inference(scs_inference,[],[i_0_900,i_0_287]) ).
cnf(i_0_943,plain,
sdtpldt0(sdtmndt0(xp,xk),sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk))) = esk15_0,
inference(scs_inference,[],[i_0_620,i_0_829,i_0_900,i_0_671,i_0_287,i_0_338,i_0_339]) ).
cnf(i_0_946,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(esk12_0,esk12_0),sdtmndt0(esk12_0,esk12_0))),
inference(scs_inference,[],[i_0_620,i_0_829,i_0_900,i_0_671,i_0_287,i_0_338,i_0_339,i_0_408,i_0_414]) ).
cnf(i_0_952,plain,
aNaturalNumber0(sdtmndt0(sdtmndt0(sdtasdt0(xr,esk12_0),xr),sdtmndt0(esk9_0,xr))),
inference(scs_inference,[],[i_0_564,i_0_620,i_0_677,i_0_829,i_0_783,i_0_788,i_0_900,i_0_578,i_0_671,i_0_287,i_0_338,i_0_339,i_0_408,i_0_414,i_0_274,i_0_244,i_0_252]) ).
cnf(i_0_954,plain,
sdtmndt0(sdtmndt0(xp,xk),sdtmndt0(xp,xk)) = sdtmndt0(esk15_0,sdtmndt0(xp,xk)),
inference(scs_inference,[],[i_0_564,i_0_602,i_0_620,i_0_677,i_0_624,i_0_829,i_0_783,i_0_788,i_0_733,i_0_900,i_0_311,i_0_578,i_0_671,i_0_287,i_0_338,i_0_339,i_0_408,i_0_414,i_0_274,i_0_244,i_0_252,i_0_238]) ).
cnf(c_0_345,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_254 ).
cnf(c_0_346,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_261 ).
cnf(c_0_347,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2) ),
i_0_240 ).
cnf(c_0_348,hypothesis,
sdtlseqdt0(xk,xp),
i_0_301 ).
cnf(c_0_349,hypothesis,
aNaturalNumber0(xk),
i_0_319 ).
cnf(c_0_350,hypothesis,
aNaturalNumber0(xp),
i_0_320 ).
cnf(c_0_351,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_345]),c_0_346]) ).
cnf(c_0_352,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
i_0_304 ).
cnf(c_0_353,hypothesis,
aNaturalNumber0(esk13_0),
i_0_313 ).
cnf(c_0_354,hypothesis,
aNaturalNumber0(xr),
i_0_318 ).
cnf(c_0_355,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
i_0_220 ).
cnf(c_0_356,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
| X2 = X3
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_229 ).
cnf(c_0_357,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_349]),c_0_350])]) ).
cnf(c_0_358,hypothesis,
sdtlseqdt0(xr,xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_353]),c_0_354])]) ).
cnf(c_0_359,plain,
( X1 = sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X3,X1) != X2
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
i_0_238 ).
cnf(c_0_360,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| xr = xp
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_350]),c_0_354])]) ).
cnf(c_0_361,hypothesis,
sdtlseqdt0(xr,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_354])]) ).
cnf(c_0_362,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_359]),c_0_346]),c_0_351]) ).
cnf(c_0_363,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| xr = xp
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_361])]) ).
cnf(c_0_364,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
i_0_253 ).
cnf(c_0_365,hypothesis,
xk != xp,
i_0_327 ).
cnf(c_0_366,plain,
( sdtmndt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(xn,xm)) = xr
| xr = xp
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_354])]) ).
cnf(c_0_367,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_262 ).
cnf(c_0_368,hypothesis,
~ sdtlseqdt0(xp,xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_348]),c_0_349]),c_0_350])]),c_0_365]) ).
cnf(c_0_369,plain,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_358]),c_0_354]),c_0_349])]) ).
cnf(c_0_370,plain,
( xr = xp
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_366]),c_0_350])]) ).
cnf(c_0_371,hypothesis,
aNaturalNumber0(xm),
i_0_321 ).
cnf(c_0_372,hypothesis,
aNaturalNumber0(xn),
i_0_322 ).
cnf(c_0_373,hypothesis,
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_367,c_0_350]) ).
cnf(c_0_374,hypothesis,
~ sdtlseqdt0(xp,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_350])]) ).
cnf(c_0_375,plain,
xr = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_346]),c_0_371]),c_0_372])]) ).
cnf(c_0_376,hypothesis,
sdtlseqdt0(xp,xp),
inference(spm,[status(thm)],[c_0_373,c_0_350]) ).
cnf(c_0_377,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_375]),c_0_376])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM507+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13 % 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
% 0.16/0.34 % Computer : n011.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 00:40:17 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 117.86/83.73 % Version : CSE_E---1.7
% 117.86/83.73 % Problem : theBenchmark.p
% 117.86/83.73 % SZS status Theorem for theBenchmark.p
% 117.86/83.73 % SZS output start CNFRefutation
% See solution above
% 124.56/90.44 % Total time : 82.862s
%------------------------------------------------------------------------------