%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM507+1 : 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 : n007.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 201.28s 129.29s
% Output : CNFRefutation 208.58s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_1493)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) != 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) )
=> ( ( isPrime0(X3)
& doDivides0(X3,sdtasdt0(X1,X2)) )
=> ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X3,X1)
| 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(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(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__2075,hypothesis,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(m__1870,hypothesis,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(m__2362,hypothesis,
( sdtlseqdt0(xr,xk)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(m__1860,hypothesis,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(m__2306,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(m__2342,hypothesis,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(m__2377,hypothesis,
( xk != xp
& sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2377) ).
fof(m__2287,hypothesis,
( xn != xp
& sdtlseqdt0(xn,xp)
& xm != xp
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
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)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_50,hypothesis,
! [X171,X172,X173] :
( ~ aNaturalNumber0(X171)
| ~ aNaturalNumber0(X172)
| ~ aNaturalNumber0(X173)
| ~ isPrime0(X173)
| ~ doDivides0(X173,sdtasdt0(X171,X172))
| ~ iLess0(sdtpldt0(sdtpldt0(X171,X172),X173),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X173,X171)
| doDivides0(X173,X172) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1799])]) ).
fof(i_0_51,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(fof_nnf,[status(thm)],[i_0_49]) ).
fof(i_0_52,plain,
! [X106,X107,X108] :
( ( sdtasdt0(X106,sdtpldt0(X107,X108)) = sdtpldt0(sdtasdt0(X106,X107),sdtasdt0(X106,X108))
| ~ aNaturalNumber0(X106)
| ~ aNaturalNumber0(X107)
| ~ aNaturalNumber0(X108) )
& ( sdtasdt0(sdtpldt0(X107,X108),X106) = sdtpldt0(sdtasdt0(X107,X106),sdtasdt0(X108,X106))
| ~ aNaturalNumber0(X106)
| ~ aNaturalNumber0(X107)
| ~ aNaturalNumber0(X108) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_53,plain,
! [X163,X164,X165] :
( ~ aNaturalNumber0(X163)
| ~ aNaturalNumber0(X164)
| X163 = sz00
| ~ doDivides0(X163,X164)
| ~ aNaturalNumber0(X165)
| sdtasdt0(X165,sdtsldt0(X164,X163)) = sdtsldt0(sdtasdt0(X165,X164),X163) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
fof(i_0_54,plain,
! [X158,X159,X160] :
( ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| ~ doDivides0(X158,X159)
| ~ doDivides0(X158,sdtpldt0(X159,X160))
| doDivides0(X158,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
fof(i_0_55,plain,
! [X137,X138,X139] :
( ( sdtasdt0(X137,X138) != sdtasdt0(X137,X139)
| X137 = sz00
| X138 = X139
| ~ sdtlseqdt0(X138,X139)
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) )
& ( sdtlseqdt0(sdtasdt0(X137,X138),sdtasdt0(X137,X139))
| X137 = sz00
| X138 = X139
| ~ sdtlseqdt0(X138,X139)
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) )
& ( sdtasdt0(X138,X137) != sdtasdt0(X139,X137)
| X137 = sz00
| X138 = X139
| ~ sdtlseqdt0(X138,X139)
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) )
& ( sdtlseqdt0(sdtasdt0(X138,X137),sdtasdt0(X139,X137))
| X137 = sz00
| X138 = X139
| ~ sdtlseqdt0(X138,X139)
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138)
| ~ aNaturalNumber0(X139) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(i_0_56,plain,
! [X134,X135,X136] :
( ( sdtpldt0(X136,X134) != sdtpldt0(X136,X135)
| ~ aNaturalNumber0(X136)
| X134 = X135
| ~ sdtlseqdt0(X134,X135)
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135) )
& ( sdtlseqdt0(sdtpldt0(X136,X134),sdtpldt0(X136,X135))
| ~ aNaturalNumber0(X136)
| X134 = X135
| ~ sdtlseqdt0(X134,X135)
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135) )
& ( sdtpldt0(X134,X136) != sdtpldt0(X135,X136)
| ~ aNaturalNumber0(X136)
| X134 = X135
| ~ sdtlseqdt0(X134,X135)
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135) )
& ( sdtlseqdt0(sdtpldt0(X134,X136),sdtpldt0(X135,X136))
| ~ aNaturalNumber0(X136)
| X134 = X135
| ~ sdtlseqdt0(X134,X135)
| ~ aNaturalNumber0(X134)
| ~ aNaturalNumber0(X135) ) ),
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,
! [X155,X156,X157] :
( ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157)
| ~ doDivides0(X155,X156)
| ~ doDivides0(X155,X157)
| doDivides0(X155,sdtpldt0(X156,X157)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
fof(i_0_58,plain,
! [X101,X102,X103] :
( ~ aNaturalNumber0(X101)
| ~ aNaturalNumber0(X102)
| ~ aNaturalNumber0(X103)
| sdtasdt0(sdtasdt0(X101,X102),X103) = sdtasdt0(X101,sdtasdt0(X102,X103)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_59,plain,
! [X95,X96,X97] :
( ~ aNaturalNumber0(X95)
| ~ aNaturalNumber0(X96)
| ~ aNaturalNumber0(X97)
| sdtpldt0(sdtpldt0(X95,X96),X97) = sdtpldt0(X95,sdtpldt0(X96,X97)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_60,plain,
! [X149,X150,X151] :
( ( aNaturalNumber0(X151)
| X151 != sdtsldt0(X150,X149)
| X149 = sz00
| ~ doDivides0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) )
& ( X150 = sdtasdt0(X149,X151)
| X151 != sdtsldt0(X150,X149)
| X149 = sz00
| ~ doDivides0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) )
& ( ~ aNaturalNumber0(X151)
| X150 != sdtasdt0(X149,X151)
| X151 = sdtsldt0(X150,X149)
| X149 = sz00
| ~ doDivides0(X149,X150)
| ~ aNaturalNumber0(X149)
| ~ aNaturalNumber0(X150) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(i_0_61,plain,
! [X123,X124,X125] :
( ( aNaturalNumber0(X125)
| X125 != sdtmndt0(X124,X123)
| ~ sdtlseqdt0(X123,X124)
| ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124) )
& ( sdtpldt0(X123,X125) = X124
| X125 != sdtmndt0(X124,X123)
| ~ sdtlseqdt0(X123,X124)
| ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124) )
& ( ~ aNaturalNumber0(X125)
| sdtpldt0(X123,X125) != X124
| X125 = sdtmndt0(X124,X123)
| ~ sdtlseqdt0(X123,X124)
| ~ aNaturalNumber0(X123)
| ~ aNaturalNumber0(X124) ) ),
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,
! [X152,X153,X154] :
( ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153)
| ~ aNaturalNumber0(X154)
| ~ doDivides0(X152,X153)
| ~ doDivides0(X153,X154)
| doDivides0(X152,X154) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(i_0_63,plain,
! [X129,X130,X131] :
( ~ aNaturalNumber0(X129)
| ~ aNaturalNumber0(X130)
| ~ aNaturalNumber0(X131)
| ~ sdtlseqdt0(X129,X130)
| ~ sdtlseqdt0(X130,X131)
| sdtlseqdt0(X129,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(i_0_64,plain,
! [X119,X120,X122] :
( ( aNaturalNumber0(esk1_2(X119,X120))
| ~ sdtlseqdt0(X119,X120)
| ~ aNaturalNumber0(X119)
| ~ aNaturalNumber0(X120) )
& ( sdtpldt0(X119,esk1_2(X119,X120)) = X120
| ~ sdtlseqdt0(X119,X120)
| ~ aNaturalNumber0(X119)
| ~ aNaturalNumber0(X120) )
& ( ~ aNaturalNumber0(X122)
| sdtpldt0(X119,X122) != X120
| sdtlseqdt0(X119,X120)
| ~ aNaturalNumber0(X119)
| ~ aNaturalNumber0(X120) ) ),
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,
! [X145,X146,X148] :
( ( aNaturalNumber0(esk2_2(X145,X146))
| ~ doDivides0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) )
& ( X146 = sdtasdt0(X145,esk2_2(X145,X146))
| ~ doDivides0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) )
& ( ~ aNaturalNumber0(X148)
| X146 != sdtasdt0(X145,X148)
| doDivides0(X145,X146)
| ~ aNaturalNumber0(X145)
| ~ aNaturalNumber0(X146) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
fof(i_0_66,plain,
! [X112,X113,X114] :
( ( sdtasdt0(X112,X113) != sdtasdt0(X112,X114)
| X113 = X114
| ~ aNaturalNumber0(X113)
| ~ aNaturalNumber0(X114)
| X112 = sz00
| ~ aNaturalNumber0(X112) )
& ( sdtasdt0(X113,X112) != sdtasdt0(X114,X112)
| X113 = X114
| ~ aNaturalNumber0(X113)
| ~ aNaturalNumber0(X114)
| X112 = sz00
| ~ aNaturalNumber0(X112) ) ),
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,
! [X109,X110,X111] :
( ( sdtpldt0(X109,X110) != sdtpldt0(X109,X111)
| X110 = X111
| ~ aNaturalNumber0(X109)
| ~ aNaturalNumber0(X110)
| ~ aNaturalNumber0(X111) )
& ( sdtpldt0(X110,X109) != sdtpldt0(X111,X109)
| X110 = X111
| ~ aNaturalNumber0(X109)
| ~ aNaturalNumber0(X110)
| ~ aNaturalNumber0(X111) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(i_0_68,plain,
! [X127,X128] :
( ~ aNaturalNumber0(X127)
| ~ aNaturalNumber0(X128)
| ~ sdtlseqdt0(X127,X128)
| ~ sdtlseqdt0(X128,X127)
| X127 = X128 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(i_0_69,plain,
! [X141,X142] :
( ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142)
| X141 = sz00
| sdtlseqdt0(X142,sdtasdt0(X142,X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(i_0_70,plain,
! [X143,X144] :
( ~ aNaturalNumber0(X143)
| ~ aNaturalNumber0(X144)
| X143 = X144
| ~ sdtlseqdt0(X143,X144)
| iLess0(X143,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(i_0_71,plain,
! [X161,X162] :
( ~ aNaturalNumber0(X161)
| ~ aNaturalNumber0(X162)
| ~ doDivides0(X161,X162)
| X162 = sz00
| sdtlseqdt0(X161,X162) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(i_0_72,plain,
! [X166,X167] :
( ( X166 != sz00
| ~ isPrime0(X166)
| ~ aNaturalNumber0(X166) )
& ( X166 != sz10
| ~ isPrime0(X166)
| ~ aNaturalNumber0(X166) )
& ( ~ aNaturalNumber0(X167)
| ~ doDivides0(X167,X166)
| X167 = sz10
| X167 = X166
| ~ isPrime0(X166)
| ~ aNaturalNumber0(X166) )
& ( aNaturalNumber0(esk3_1(X166))
| X166 = sz00
| X166 = sz10
| isPrime0(X166)
| ~ aNaturalNumber0(X166) )
& ( doDivides0(esk3_1(X166),X166)
| X166 = sz00
| X166 = sz10
| isPrime0(X166)
| ~ aNaturalNumber0(X166) )
& ( esk3_1(X166) != sz10
| X166 = sz00
| X166 = sz10
| isPrime0(X166)
| ~ aNaturalNumber0(X166) )
& ( esk3_1(X166) != X166
| X166 = sz00
| X166 = sz10
| isPrime0(X166)
| ~ aNaturalNumber0(X166) ) ),
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,
! [X91,X92] :
( ~ aNaturalNumber0(X91)
| ~ aNaturalNumber0(X92)
| aNaturalNumber0(sdtasdt0(X91,X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_74,plain,
! [X89,X90] :
( ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90)
| aNaturalNumber0(sdtpldt0(X89,X90)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_75,plain,
! [X132,X133] :
( ( X133 != X132
| sdtlseqdt0(X132,X133)
| ~ aNaturalNumber0(X132)
| ~ aNaturalNumber0(X133) )
& ( sdtlseqdt0(X133,X132)
| sdtlseqdt0(X132,X133)
| ~ aNaturalNumber0(X132)
| ~ aNaturalNumber0(X133) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
fof(i_0_76,plain,
! [X99,X100] :
( ~ aNaturalNumber0(X99)
| ~ aNaturalNumber0(X100)
| sdtasdt0(X99,X100) = sdtasdt0(X100,X99) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_77,plain,
! [X93,X94] :
( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X94)
| sdtpldt0(X93,X94) = sdtpldt0(X94,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_78,plain,
! [X117,X118] :
( ~ aNaturalNumber0(X117)
| ~ aNaturalNumber0(X118)
| sdtasdt0(X117,X118) != sz00
| X117 = sz00
| X118 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(i_0_79,plain,
! [X115,X116] :
( ( X115 = sz00
| sdtpldt0(X115,X116) != sz00
| ~ aNaturalNumber0(X115)
| ~ aNaturalNumber0(X116) )
& ( X116 = sz00
| sdtpldt0(X115,X116) != sz00
| ~ aNaturalNumber0(X115)
| ~ aNaturalNumber0(X116) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(i_0_80,plain,
! [X169] :
( ( aNaturalNumber0(esk4_1(X169))
| ~ aNaturalNumber0(X169)
| X169 = sz00
| X169 = sz10 )
& ( doDivides0(esk4_1(X169),X169)
| ~ aNaturalNumber0(X169)
| X169 = sz00
| X169 = sz10 )
& ( isPrime0(esk4_1(X169))
| ~ aNaturalNumber0(X169)
| X169 = sz00
| X169 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(i_0_81,plain,
! [X140] :
( ( sz10 != X140
| X140 = sz00
| X140 = sz10
| ~ aNaturalNumber0(X140) )
& ( sdtlseqdt0(sz10,X140)
| X140 = sz00
| X140 = sz10
| ~ aNaturalNumber0(X140) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(i_0_82,plain,
! [X126] :
( ~ aNaturalNumber0(X126)
| sdtlseqdt0(X126,X126) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_83,plain,
! [X104] :
( ( sdtasdt0(X104,sz10) = X104
| ~ aNaturalNumber0(X104) )
& ( X104 = sdtasdt0(sz10,X104)
| ~ aNaturalNumber0(X104) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(i_0_84,plain,
! [X98] :
( ( sdtpldt0(X98,sz00) = X98
| ~ aNaturalNumber0(X98) )
& ( X98 = sdtpldt0(sz00,X98)
| ~ aNaturalNumber0(X98) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(i_0_85,plain,
! [X105] :
( ( sdtasdt0(X105,sz00) = sz00
| ~ aNaturalNumber0(X105) )
& ( sz00 = sdtasdt0(sz00,X105)
| ~ aNaturalNumber0(X105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(i_0_86,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(fof_simplification,[status(thm)],[m__2075]) ).
fof(i_0_87,hypothesis,
~ sdtlseqdt0(xp,xn),
inference(fof_simplification,[status(thm)],[m__1870]) ).
fof(i_0_88,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(i_0_89,hypothesis,
( doDivides0(X3,X1)
| doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X3)
| ~ doDivides0(X3,sdtasdt0(X1,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_90,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_91,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_92,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_93,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_94,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_95,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_96,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_97,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_98,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_99,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_100,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_101,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_102,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_103,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_104,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_105,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_106,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_107,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_108,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_109,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_110,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_111,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_112,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_113,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_114,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_115,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_116,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_117,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_118,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_119,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_120,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_121,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_122,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_123,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_124,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_125,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_126,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_127,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_128,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_129,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_130,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_131,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_132,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_133,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_134,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_135,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_136,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_137,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_138,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[m__2362]),
[final] ).
cnf(i_0_139,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[m__1860]),
[final] ).
cnf(i_0_140,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[m__2306]),
[final] ).
cnf(i_0_141,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_142,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_143,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_144,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_145,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_146,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_147,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_148,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_149,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_150,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_151,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_152,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_153,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_154,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_155,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_156,hypothesis,
~ sdtlseqdt0(xp,xm),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_157,hypothesis,
~ sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_158,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_159,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_160,hypothesis,
doDivides0(xr,xk),
inference(split_conjunct,[status(thm)],[m__2342]),
[final] ).
cnf(i_0_161,hypothesis,
sdtlseqdt0(xr,xk),
inference(split_conjunct,[status(thm)],[m__2362]),
[final] ).
cnf(i_0_162,hypothesis,
sdtlseqdt0(xk,xp),
inference(split_conjunct,[status(thm)],[m__2377]),
[final] ).
cnf(i_0_163,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[m__2287]),
[final] ).
cnf(i_0_164,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[m__2287]),
[final] ).
cnf(i_0_165,hypothesis,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[m__2342]),
[final] ).
cnf(i_0_166,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[m__1860]),
[final] ).
cnf(i_0_167,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[m__2342]),
[final] ).
cnf(i_0_168,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_169,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_170,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]),
[final] ).
cnf(i_0_171,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_172,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_173,hypothesis,
xk != xp,
inference(split_conjunct,[status(thm)],[m__2377]),
[final] ).
cnf(i_0_174,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_175,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_176,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2327]),
[final] ).
cnf(i_0_177,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_178,hypothesis,
xm != xp,
inference(split_conjunct,[status(thm)],[m__2287]),
[final] ).
cnf(i_0_179,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[m__2287]),
[final] ).
cnf(i_0_180,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_181,axiom,
X1 = X1 ).
cnf(i_0_182,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_183,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_184,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_1590,plain,
doDivides0(esk4_1(esk4_1(xr)),sdtpldt0(esk4_1(xr),esk4_1(xr))),
inference(scs_inference,[],[i_0_179,i_0_1451,i_0_1351,i_0_1425,i_0_1427,i_0_1411,i_0_1441,i_0_1421,i_0_1385,i_0_1443,i_0_1489,i_0_1389,i_0_1483,i_0_1417,i_0_1393,i_0_648,i_0_1375,i_0_1006,i_0_629,i_0_286,i_0_641,i_0_325,i_0_635,i_0_217,i_0_1339,i_0_164,i_0_270,i_0_1355,i_0_595,i_0_1325,i_0_180,i_0_1321,i_0_170,i_0_233,i_0_171,i_0_167,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_158,i_0_130,i_0_193,i_0_194,i_0_196,i_0_200,i_0_199,i_0_183,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_141,i_0_116,i_0_122,i_0_126,i_0_117,i_0_113,i_0_121,i_0_202,i_0_127,i_0_114,i_0_115,i_0_93,i_0_99]) ).
cnf(i_0_1592,plain,
esk4_1(xr) = xr,
inference(scs_inference,[],[i_0_179,i_0_1451,i_0_1351,i_0_1425,i_0_1427,i_0_1411,i_0_1441,i_0_1421,i_0_1385,i_0_1443,i_0_1489,i_0_1389,i_0_1483,i_0_1417,i_0_1393,i_0_648,i_0_1375,i_0_1006,i_0_629,i_0_286,i_0_641,i_0_325,i_0_635,i_0_217,i_0_1339,i_0_164,i_0_270,i_0_1355,i_0_595,i_0_1325,i_0_180,i_0_165,i_0_1321,i_0_170,i_0_233,i_0_171,i_0_167,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_158,i_0_130,i_0_193,i_0_194,i_0_196,i_0_200,i_0_199,i_0_183,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_141,i_0_116,i_0_122,i_0_126,i_0_117,i_0_113,i_0_121,i_0_202,i_0_127,i_0_114,i_0_115,i_0_93,i_0_99,i_0_128]) ).
cnf(i_0_1594,plain,
iLess0(xn,sdtpldt0(xp,sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_179,i_0_1451,i_0_1351,i_0_1425,i_0_1427,i_0_1411,i_0_1441,i_0_1421,i_0_1385,i_0_1443,i_0_1489,i_0_1389,i_0_1483,i_0_1417,i_0_1393,i_0_648,i_0_1375,i_0_1006,i_0_629,i_0_286,i_0_641,i_0_325,i_0_635,i_0_217,i_0_1339,i_0_777,i_0_164,i_0_270,i_0_1355,i_0_595,i_0_1325,i_0_180,i_0_165,i_0_1321,i_0_170,i_0_233,i_0_171,i_0_167,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_158,i_0_130,i_0_193,i_0_194,i_0_196,i_0_200,i_0_199,i_0_183,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_141,i_0_116,i_0_122,i_0_126,i_0_117,i_0_113,i_0_121,i_0_202,i_0_127,i_0_114,i_0_115,i_0_93,i_0_99,i_0_128,i_0_198]) ).
cnf(i_0_1595,plain,
iLess0(sdtpldt0(xn,sdtmndt0(xn,xn)),xp),
inference(scs_inference,[],[i_0_179,i_0_1451,i_0_1351,i_0_1425,i_0_1427,i_0_1411,i_0_1441,i_0_1421,i_0_1385,i_0_1443,i_0_1489,i_0_1389,i_0_1483,i_0_1417,i_0_1393,i_0_648,i_0_1375,i_0_1006,i_0_629,i_0_734,i_0_286,i_0_641,i_0_325,i_0_635,i_0_217,i_0_1339,i_0_777,i_0_164,i_0_270,i_0_1355,i_0_595,i_0_1325,i_0_180,i_0_165,i_0_1321,i_0_170,i_0_233,i_0_171,i_0_167,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_158,i_0_130,i_0_193,i_0_194,i_0_196,i_0_200,i_0_199,i_0_183,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_141,i_0_116,i_0_122,i_0_126,i_0_117,i_0_113,i_0_121,i_0_202,i_0_127,i_0_114,i_0_115,i_0_93,i_0_99,i_0_128,i_0_198,i_0_197]) ).
cnf(i_0_1639,plain,
sdtasdt0(sdtmndt0(sdtmndt0(sz00,sz00),sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(scs_inference,[],[i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154]) ).
cnf(i_0_1641,plain,
sz00 = sdtasdt0(sz00,sdtmndt0(sdtmndt0(sz00,sz00),sdtpldt0(sz00,sz00))),
inference(scs_inference,[],[i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155]) ).
cnf(i_0_1726,plain,
sdtasdt0(sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz10) = sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),
inference(scs_inference,[],[i_0_1409,i_0_150]) ).
cnf(i_0_1728,plain,
sdtpldt0(sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz00) = sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),
inference(scs_inference,[],[i_0_1409,i_0_150,i_0_151]) ).
cnf(i_0_1730,plain,
sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr)) = sdtasdt0(sz10,sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1409,i_0_150,i_0_151,i_0_152]) ).
cnf(i_0_1732,plain,
sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr)) = sdtpldt0(sz00,sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_1734,plain,
sdtasdt0(sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz00) = sz00,
inference(scs_inference,[],[i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154]) ).
cnf(i_0_1736,plain,
sz00 = sdtasdt0(sz00,sdtasdt0(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155]) ).
cnf(i_0_1801,plain,
sdtasdt0(sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz10) = sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),
inference(scs_inference,[],[i_0_1413,i_0_150]) ).
cnf(i_0_1803,plain,
sdtpldt0(sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz00) = sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),
inference(scs_inference,[],[i_0_1413,i_0_150,i_0_151]) ).
cnf(i_0_1805,plain,
sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr)) = sdtasdt0(sz10,sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1413,i_0_150,i_0_151,i_0_152]) ).
cnf(i_0_1807,plain,
sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr)) = sdtpldt0(sz00,sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_1809,plain,
sdtasdt0(sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz00) = sz00,
inference(scs_inference,[],[i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154]) ).
cnf(i_0_1811,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155]) ).
cnf(i_0_1881,plain,
sdtasdt0(esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz10) = esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr)),
inference(scs_inference,[],[i_0_1423,i_0_150]) ).
cnf(i_0_1883,plain,
sdtpldt0(esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz00) = esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr)),
inference(scs_inference,[],[i_0_1423,i_0_150,i_0_151]) ).
cnf(i_0_1885,plain,
esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr)) = sdtasdt0(sz10,esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1423,i_0_150,i_0_151,i_0_152]) ).
cnf(i_0_1887,plain,
esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr)) = sdtpldt0(sz00,esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1423,i_0_150,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_1889,plain,
sdtasdt0(esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr)),sz00) = sz00,
inference(scs_inference,[],[i_0_1423,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154]) ).
cnf(i_0_1891,plain,
sz00 = sdtasdt0(sz00,esk1_2(esk1_2(sz10,xr),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1423,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155]) ).
cnf(i_0_1643,plain,
sdtasdt0(esk4_1(xr),X1) = sdtasdt0(xr,X1),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184]) ).
cnf(i_0_1644,plain,
sdtasdt0(X1,esk4_1(xr)) = sdtasdt0(X1,xr),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185]) ).
cnf(i_0_1645,plain,
sdtpldt0(X1,esk4_1(xr)) = sdtpldt0(X1,xr),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187]) ).
cnf(i_0_1646,plain,
sdtsldt0(esk4_1(xr),X1) = sdtsldt0(xr,X1),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188]) ).
cnf(i_0_1647,plain,
sdtsldt0(X1,esk4_1(xr)) = sdtsldt0(X1,xr),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189]) ).
cnf(i_0_1648,plain,
sdtmndt0(esk4_1(xr),X1) = sdtmndt0(xr,X1),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190]) ).
cnf(i_0_1649,plain,
sdtmndt0(X1,esk4_1(xr)) = sdtmndt0(X1,xr),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191]) ).
cnf(i_0_1650,plain,
esk3_1(esk4_1(xr)) = esk3_1(xr),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192]) ).
cnf(i_0_1651,plain,
sdtpldt0(esk4_1(xr),X1) = sdtpldt0(xr,X1),
inference(scs_inference,[],[i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186]) ).
cnf(i_0_1652,plain,
sz00 != sdtpldt0(sz10,sz10),
inference(scs_inference,[],[i_0_1359,i_0_1592,i_0_1493,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182]) ).
cnf(i_0_1655,plain,
iLess0(xm,sdtasdt0(esk4_1(xp),esk2_2(esk4_1(xp),xp))),
inference(scs_inference,[],[i_0_1407,i_0_1359,i_0_1592,i_0_1493,i_0_1544,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198]) ).
cnf(i_0_1656,plain,
esk4_1(esk4_1(xr)) != sz10,
inference(scs_inference,[],[i_0_1407,i_0_1359,i_0_1592,i_0_1493,i_0_1554,i_0_1556,i_0_1544,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158]) ).
cnf(i_0_1660,plain,
doDivides0(sdtasdt0(esk4_1(xr),sdtsldt0(xr,esk4_1(xr))),sdtasdt0(xn,xm)),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1592,i_0_1493,i_0_1554,i_0_1556,i_0_1544,i_0_1371,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193]) ).
cnf(i_0_1661,plain,
doDivides0(esk4_1(esk4_1(xr)),sdtpldt0(sdtpldt0(xr,sdtmndt0(xr,xr)),sdtmndt0(xr,xr))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1592,i_0_1493,i_0_1554,i_0_1556,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194]) ).
cnf(i_0_1663,plain,
esk4_1(esk4_1(xr)) != sz00,
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1592,i_0_1493,i_0_1554,i_0_1556,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159]) ).
cnf(i_0_1665,plain,
~ isPrime0(sdtasdt0(sdtasdt0(esk1_2(sz10,xr),sz10),sz00)),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1592,i_0_1493,i_0_1554,i_0_1556,i_0_1536,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196]) ).
cnf(i_0_1666,plain,
sdtasdt0(sdtasdt0(esk1_2(sz10,xr),sz10),X1) = sdtasdt0(esk1_2(sz10,xr),X1),
inference(rename_variables,[],[i_0_1518]) ).
cnf(i_0_1667,plain,
sdtlseqdt0(esk4_1(xp),sdtasdt0(esk4_1(xp),esk2_2(esk4_1(xp),xp))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1493,i_0_1554,i_0_1556,i_0_1536,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200]) ).
cnf(i_0_1668,plain,
sdtlseqdt0(sdtasdt0(sz10,esk4_1(xp)),xp),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1493,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199]) ).
cnf(i_0_1669,plain,
sdtpldt0(esk1_2(sz10,xr),sz00) = sdtpldt0(sz00,esk1_2(sz10,xr)),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183]) ).
cnf(i_0_1670,plain,
aNaturalNumber0(sdtpldt0(sz00,esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_1321,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195]) ).
cnf(i_0_1671,plain,
aNaturalNumber0(esk2_2(esk4_1(esk4_1(xr)),sdtpldt0(xr,sdtmndt0(xr,xr)))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_1321,i_0_233,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118]) ).
cnf(i_0_1675,plain,
esk4_1(xr) = sdtasdt0(esk4_1(esk4_1(xr)),esk2_2(esk4_1(esk4_1(xr)),esk4_1(xr))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_566,i_0_1443,i_0_1321,i_0_1325,i_0_233,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111]) ).
cnf(i_0_1681,plain,
sdtasdt0(sdtpldt0(xr,xr),xr) = sdtpldt0(sdtasdt0(xr,xr),sdtasdt0(xr,xr)),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91]) ).
cnf(i_0_1683,plain,
sdtasdt0(xr,sdtpldt0(xr,xr)) = sdtpldt0(sdtasdt0(xr,xr),sdtasdt0(xr,xr)),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92]) ).
cnf(i_0_1685,plain,
isPrime0(esk4_1(esk4_1(esk4_1(xr)))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148]) ).
cnf(i_0_1687,plain,
aNaturalNumber0(esk4_1(esk4_1(esk4_1(xr)))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149]) ).
cnf(i_0_1689,plain,
sdtpldt0(esk4_1(esk4_1(xr)),esk4_1(esk4_1(xr))) != sz00,
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135]) ).
cnf(i_0_1691,plain,
sdtlseqdt0(esk4_1(esk4_1(xr)),sdtasdt0(esk4_1(esk4_1(xr)),esk4_1(esk4_1(xr)))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125]) ).
cnf(i_0_1693,plain,
sdtpldt0(sdtmndt0(xp,xp),esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp))) = sdtmndt0(xp,xp),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110]) ).
cnf(i_0_1695,plain,
sdtpldt0(xp,xp) != sz00,
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_285,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136]) ).
cnf(i_0_1697,plain,
sdtlseqdt0(sz10,esk4_1(esk4_1(xr))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_285,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145]) ).
cnf(i_0_1699,plain,
doDivides0(esk4_1(esk4_1(esk4_1(xr))),esk4_1(esk4_1(xr))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_167,i_0_285,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142]) ).
cnf(i_0_1701,plain,
sz10 != esk4_1(xr),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_171,i_0_167,i_0_285,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141]) ).
cnf(i_0_1703,plain,
sz10 != sdtasdt0(xp,sdtmndt0(sdtmndt0(sz00,sz00),sdtpldt0(sz00,sz00))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_566,i_0_1443,i_0_667,i_0_1321,i_0_1325,i_0_233,i_0_171,i_0_167,i_0_285,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124]) ).
cnf(i_0_1705,plain,
sdtmndt0(xm,xm) != sdtmndt0(sdtpldt0(xp,sdtmndt0(xp,xp)),xm),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_735,i_0_780,i_0_566,i_0_1443,i_0_779,i_0_667,i_0_1321,i_0_1325,i_0_169,i_0_233,i_0_171,i_0_167,i_0_285,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124,i_0_113]) ).
cnf(i_0_1707,plain,
aNaturalNumber0(sdtsldt0(sdtpldt0(xr,sdtmndt0(xr,xr)),esk4_1(esk4_1(xr)))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_735,i_0_780,i_0_566,i_0_1443,i_0_779,i_0_667,i_0_1321,i_0_1325,i_0_169,i_0_233,i_0_171,i_0_167,i_0_285,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124,i_0_113,i_0_209]) ).
cnf(i_0_1709,plain,
sdtlseqdt0(esk4_1(esk4_1(xr)),sdtpldt0(xr,sdtmndt0(xr,xr))),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_735,i_0_780,i_0_566,i_0_1443,i_0_1417,i_0_779,i_0_667,i_0_1321,i_0_1325,i_0_169,i_0_233,i_0_171,i_0_167,i_0_285,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124,i_0_113,i_0_209,i_0_127]) ).
cnf(i_0_1711,plain,
sdtasdt0(sz10,sz10) != sdtasdt0(sz00,sz10),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_735,i_0_780,i_0_566,i_0_1443,i_0_1417,i_0_779,i_0_667,i_0_180,i_0_1321,i_0_1325,i_0_169,i_0_233,i_0_171,i_0_167,i_0_285,i_0_172,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124,i_0_113,i_0_209,i_0_127,i_0_114]) ).
cnf(i_0_1713,plain,
sdtasdt0(sz10,sz10) != sdtasdt0(sz10,sz00),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_701,i_0_735,i_0_780,i_0_566,i_0_1443,i_0_1417,i_0_779,i_0_667,i_0_180,i_0_1321,i_0_1325,i_0_169,i_0_233,i_0_171,i_0_167,i_0_285,i_0_172,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124,i_0_113,i_0_209,i_0_127,i_0_114,i_0_115]) ).
cnf(i_0_1718,plain,
sdtlseqdt0(sdtpldt0(xm,xm),sdtpldt0(xp,xm)),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_1023,i_0_178,i_0_701,i_0_735,i_0_780,i_0_712,i_0_566,i_0_1443,i_0_1417,i_0_163,i_0_779,i_0_706,i_0_667,i_0_180,i_0_1321,i_0_1325,i_0_169,i_0_233,i_0_171,i_0_167,i_0_285,i_0_172,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124,i_0_113,i_0_209,i_0_127,i_0_114,i_0_115,i_0_197,i_0_202,i_0_97]) ).
cnf(i_0_1720,plain,
sdtlseqdt0(sdtpldt0(xm,xm),sdtpldt0(xm,xp)),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_1023,i_0_178,i_0_701,i_0_735,i_0_780,i_0_712,i_0_566,i_0_1443,i_0_1417,i_0_163,i_0_779,i_0_706,i_0_667,i_0_180,i_0_1321,i_0_1325,i_0_169,i_0_233,i_0_171,i_0_167,i_0_285,i_0_172,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124,i_0_113,i_0_209,i_0_127,i_0_114,i_0_115,i_0_197,i_0_202,i_0_97,i_0_98]) ).
cnf(i_0_1722,plain,
esk4_1(esk4_1(xr)) = sdtpldt0(xr,sdtmndt0(xr,xr)),
inference(scs_inference,[],[i_0_138,i_0_1407,i_0_1582,i_0_1359,i_0_1466,i_0_1570,i_0_1592,i_0_1387,i_0_1493,i_0_1391,i_0_1554,i_0_1556,i_0_1536,i_0_1510,i_0_580,i_0_1535,i_0_1310,i_0_1544,i_0_1371,i_0_1518,i_0_1023,i_0_178,i_0_701,i_0_735,i_0_780,i_0_1357,i_0_712,i_0_566,i_0_1443,i_0_1417,i_0_163,i_0_779,i_0_706,i_0_667,i_0_180,i_0_1321,i_0_1325,i_0_169,i_0_233,i_0_171,i_0_167,i_0_285,i_0_172,i_0_168,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_193,i_0_194,i_0_159,i_0_196,i_0_200,i_0_199,i_0_183,i_0_195,i_0_118,i_0_119,i_0_111,i_0_100,i_0_101,i_0_91,i_0_92,i_0_148,i_0_149,i_0_135,i_0_125,i_0_110,i_0_136,i_0_145,i_0_142,i_0_141,i_0_124,i_0_113,i_0_209,i_0_127,i_0_114,i_0_115,i_0_197,i_0_202,i_0_97,i_0_98,i_0_128]) ).
cnf(i_0_2332,plain,
sdtasdt0(sdtmndt0(sdtasdt0(esk1_2(sz10,xr),sz10),esk1_2(sz10,xr)),sz00) = sz00,
inference(scs_inference,[],[i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154]) ).
cnf(i_0_2334,plain,
sz00 = sdtasdt0(sz00,sdtmndt0(sdtasdt0(esk1_2(sz10,xr),sz10),esk1_2(sz10,xr))),
inference(scs_inference,[],[i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155]) ).
cnf(i_0_2336,plain,
sdtasdt0(sdtpldt0(sz10,sdtmndt0(xr,sz10)),X1) = sdtasdt0(xr,X1),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184]) ).
cnf(i_0_2337,plain,
sdtasdt0(X1,sdtpldt0(sz10,sdtmndt0(xr,sz10))) = sdtasdt0(X1,xr),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185]) ).
cnf(i_0_2338,plain,
sdtpldt0(X1,sdtpldt0(sz10,sdtmndt0(xr,sz10))) = sdtpldt0(X1,xr),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187]) ).
cnf(i_0_2339,plain,
sdtsldt0(sdtpldt0(sz10,sdtmndt0(xr,sz10)),X1) = sdtsldt0(xr,X1),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188]) ).
cnf(i_0_2340,plain,
sdtsldt0(X1,sdtpldt0(sz10,sdtmndt0(xr,sz10))) = sdtsldt0(X1,xr),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189]) ).
cnf(i_0_2341,plain,
sdtmndt0(sdtpldt0(sz10,sdtmndt0(xr,sz10)),X1) = sdtmndt0(xr,X1),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190]) ).
cnf(i_0_2342,plain,
sdtmndt0(X1,sdtpldt0(sz10,sdtmndt0(xr,sz10))) = sdtmndt0(X1,xr),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191]) ).
cnf(i_0_2343,plain,
esk3_1(sdtpldt0(sz10,sdtmndt0(xr,sz10))) = esk3_1(xr),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192]) ).
cnf(i_0_2344,plain,
sdtpldt0(sdtpldt0(sz10,sdtmndt0(xr,sz10)),X1) = sdtpldt0(xr,X1),
inference(scs_inference,[],[i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186]) ).
cnf(i_0_2345,plain,
sdtasdt0(sz10,sz10) != sdtasdt0(sz10,xr),
inference(scs_inference,[],[i_0_1474,i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182]) ).
cnf(i_0_2346,plain,
aNaturalNumber0(sdtasdt0(sdtsldt0(xr,esk4_1(xr)),sdtsldt0(xr,esk4_1(xr)))),
inference(scs_inference,[],[i_0_1474,i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129]) ).
cnf(i_0_2348,plain,
aNaturalNumber0(sdtpldt0(sdtsldt0(xr,esk4_1(xr)),sdtsldt0(xr,esk4_1(xr)))),
inference(scs_inference,[],[i_0_1474,i_0_1341,i_0_1578,i_0_1379,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_130]) ).
cnf(i_0_1738,plain,
sdtasdt0(sdtasdt0(esk4_1(xr),X1),X2) = sdtasdt0(sdtasdt0(xr,X1),X2),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184]) ).
cnf(i_0_1739,plain,
sdtasdt0(X1,sdtasdt0(esk4_1(xr),X2)) = sdtasdt0(X1,sdtasdt0(xr,X2)),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185]) ).
cnf(i_0_1740,plain,
sdtpldt0(X1,sdtasdt0(esk4_1(xr),X2)) = sdtpldt0(X1,sdtasdt0(xr,X2)),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187]) ).
cnf(i_0_1741,plain,
sdtsldt0(sdtasdt0(esk4_1(xr),X1),X2) = sdtsldt0(sdtasdt0(xr,X1),X2),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188]) ).
cnf(i_0_1742,plain,
sdtsldt0(X1,sdtasdt0(esk4_1(xr),X2)) = sdtsldt0(X1,sdtasdt0(xr,X2)),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189]) ).
cnf(i_0_1743,plain,
sdtmndt0(sdtasdt0(esk4_1(xr),X1),X2) = sdtmndt0(sdtasdt0(xr,X1),X2),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190]) ).
cnf(i_0_1744,plain,
sdtmndt0(X1,sdtasdt0(esk4_1(xr),X2)) = sdtmndt0(X1,sdtasdt0(xr,X2)),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191]) ).
cnf(i_0_1745,plain,
esk3_1(sdtasdt0(esk4_1(xr),X1)) = esk3_1(sdtasdt0(xr,X1)),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192]) ).
cnf(i_0_1746,plain,
sdtpldt0(sdtasdt0(esk4_1(xr),X1),X2) = sdtpldt0(sdtasdt0(xr,X1),X2),
inference(scs_inference,[],[i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186]) ).
cnf(i_0_1747,plain,
sdtasdt0(sz00,sz10) != sdtasdt0(sz10,sz10),
inference(scs_inference,[],[i_0_1711,i_0_1643,i_0_1409,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182]) ).
cnf(i_0_1750,plain,
iLess0(xn,sdtasdt0(esk4_1(xp),esk2_2(esk4_1(xp),xp))),
inference(scs_inference,[],[i_0_1572,i_0_1711,i_0_1643,i_0_1409,i_0_1544,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198]) ).
cnf(i_0_1751,plain,
esk4_1(esk4_1(esk4_1(xr))) != sz10,
inference(scs_inference,[],[i_0_1572,i_0_1711,i_0_1643,i_0_1409,i_0_1685,i_0_1687,i_0_1544,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158]) ).
cnf(i_0_1755,plain,
iLess0(sdtpldt0(xn,sdtmndt0(xn,xn)),sdtpldt0(xp,sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_1572,i_0_1711,i_0_1643,i_0_1409,i_0_1594,i_0_1685,i_0_1687,i_0_1544,i_0_734,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_197]) ).
cnf(i_0_1756,plain,
doDivides0(sdtasdt0(xr,sdtsldt0(xr,esk4_1(xr))),sdtasdt0(xn,xm)),
inference(scs_inference,[],[i_0_1572,i_0_1711,i_0_1643,i_0_1409,i_0_1594,i_0_1660,i_0_1685,i_0_1687,i_0_1544,i_0_734,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_197,i_0_193]) ).
cnf(i_0_1757,plain,
sdtasdt0(esk4_1(xr),X1) = sdtasdt0(xr,X1),
inference(rename_variables,[],[i_0_1643]) ).
cnf(i_0_1758,plain,
doDivides0(esk4_1(esk4_1(xr)),sdtpldt0(esk4_1(xr),xr)),
inference(scs_inference,[],[i_0_1572,i_0_1711,i_0_1643,i_0_1645,i_0_1409,i_0_1594,i_0_1590,i_0_1660,i_0_1685,i_0_1687,i_0_1544,i_0_734,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_197,i_0_193,i_0_194]) ).
cnf(i_0_1759,plain,
sdtpldt0(X1,esk4_1(xr)) = sdtpldt0(X1,xr),
inference(rename_variables,[],[i_0_1645]) ).
cnf(i_0_1760,plain,
esk4_1(esk4_1(esk4_1(xr))) != sz00,
inference(scs_inference,[],[i_0_1572,i_0_1711,i_0_1643,i_0_1645,i_0_1409,i_0_1594,i_0_1590,i_0_1660,i_0_1685,i_0_1687,i_0_1544,i_0_734,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_197,i_0_193,i_0_194,i_0_159]) ).
cnf(i_0_1762,plain,
isPrime0(sdtpldt0(sz00,esk4_1(xp))),
inference(scs_inference,[],[i_0_1572,i_0_1711,i_0_1643,i_0_1645,i_0_1409,i_0_1594,i_0_1512,i_0_1590,i_0_1660,i_0_1685,i_0_1687,i_0_1425,i_0_1544,i_0_734,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_198,i_0_158,i_0_130,i_0_197,i_0_193,i_0_194,i_0_159,i_0_196]) ).
cnf(i_0_1764,plain,
sdtasdt0(esk4_1(xr),X1) = sdtasdt0(xr,X1),
inference(rename_variables,[],[i_0_1643]) ).
cnf(i_0_1798,plain,
sdtsldt0(esk4_1(xr),X1) = sdtsldt0(xr,X1),
inference(rename_variables,[],[i_0_1646]) ).
cnf(i_0_1813,plain,
sdtasdt0(sdtasdt0(X1,esk4_1(xr)),X2) = sdtasdt0(sdtasdt0(X1,xr),X2),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184]) ).
cnf(i_0_1814,plain,
sdtasdt0(X1,sdtasdt0(X2,esk4_1(xr))) = sdtasdt0(X1,sdtasdt0(X2,xr)),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185]) ).
cnf(i_0_1815,plain,
sdtpldt0(X1,sdtasdt0(X2,esk4_1(xr))) = sdtpldt0(X1,sdtasdt0(X2,xr)),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187]) ).
cnf(i_0_1816,plain,
sdtsldt0(sdtasdt0(X1,esk4_1(xr)),X2) = sdtsldt0(sdtasdt0(X1,xr),X2),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188]) ).
cnf(i_0_1817,plain,
sdtsldt0(X1,sdtasdt0(X2,esk4_1(xr))) = sdtsldt0(X1,sdtasdt0(X2,xr)),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189]) ).
cnf(i_0_1818,plain,
sdtmndt0(sdtasdt0(X1,esk4_1(xr)),X2) = sdtmndt0(sdtasdt0(X1,xr),X2),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190]) ).
cnf(i_0_1819,plain,
sdtmndt0(X1,sdtasdt0(X2,esk4_1(xr))) = sdtmndt0(X1,sdtasdt0(X2,xr)),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191]) ).
cnf(i_0_1820,plain,
esk3_1(sdtasdt0(X1,esk4_1(xr))) = esk3_1(sdtasdt0(X1,xr)),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192]) ).
cnf(i_0_1821,plain,
sdtpldt0(sdtasdt0(X1,esk4_1(xr)),X2) = sdtpldt0(sdtasdt0(X1,xr),X2),
inference(scs_inference,[],[i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186]) ).
cnf(i_0_1822,plain,
sdtasdt0(sz10,sz00) != sdtasdt0(sz10,sz10),
inference(scs_inference,[],[i_0_1713,i_0_1644,i_0_1413,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182]) ).
cnf(i_0_1825,plain,
sdtpldt0(xr,sdtmndt0(xr,xr)) != sz10,
inference(scs_inference,[],[i_0_1713,i_0_1644,i_0_1413,i_0_1357,i_0_233,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_158]) ).
cnf(i_0_1829,plain,
iLess0(sdtpldt0(xn,sdtmndt0(xn,xn)),sdtasdt0(esk4_1(xp),esk2_2(esk4_1(xp),xp))),
inference(scs_inference,[],[i_0_1713,i_0_1644,i_0_1595,i_0_1413,i_0_1357,i_0_1544,i_0_233,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_158,i_0_130,i_0_198]) ).
cnf(i_0_1830,plain,
iLess0(sdtpldt0(xm,sdtmndt0(xm,xm)),sdtasdt0(esk4_1(xp),esk2_2(esk4_1(xp),xp))),
inference(scs_inference,[],[i_0_1713,i_0_1644,i_0_1595,i_0_1413,i_0_1655,i_0_1357,i_0_1544,i_0_720,i_0_233,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_158,i_0_130,i_0_198,i_0_197]) ).
cnf(i_0_1831,plain,
doDivides0(sdtasdt0(esk4_1(xr),sdtsldt0(xr,esk4_1(xr))),sdtsldt0(sdtasdt0(xn,xm),xp)),
inference(scs_inference,[],[i_0_1713,i_0_1644,i_0_1595,i_0_1413,i_0_1416,i_0_1655,i_0_1371,i_0_1357,i_0_1544,i_0_720,i_0_233,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_184,i_0_185,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_186,i_0_182,i_0_129,i_0_158,i_0_130,i_0_198,i_0_197,i_0_193]) ).
cnf(i_0_1833,plain,
sdtpldt0(esk4_1(xr),X1) = sdtpldt0(xr,X1),
inference(rename_variables,[],[i_0_1651]) ).
cnf(i_0_1836,plain,
sdtasdt0(X1,esk4_1(xr)) = sdtasdt0(X1,xr),
inference(rename_variables,[],[i_0_1644]) ).
cnf(i_0_1839,plain,
sdtasdt0(X1,esk4_1(xr)) = sdtasdt0(X1,xr),
inference(rename_variables,[],[i_0_1644]) ).
cnf(i_0_1861,plain,
sdtmndt0(esk4_1(xr),X1) = sdtmndt0(xr,X1),
inference(rename_variables,[],[i_0_1648]) ).
cnf(c_0_2382,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_115 ).
cnf(c_0_2383,plain,
aNaturalNumber0(sz10),
i_0_171 ).
cnf(c_0_2384,plain,
sz10 != sz00,
i_0_180 ).
cnf(c_0_2385,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
i_0_152 ).
cnf(c_0_2386,hypothesis,
aNaturalNumber0(xr),
i_0_167 ).
cnf(c_0_2387,plain,
( X1 = X2
| sdtasdt0(sz10,X1) != sdtasdt0(sz10,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2382,c_0_2383]),c_0_2384]) ).
cnf(c_0_2388,hypothesis,
sdtasdt0(sz10,xr) = xr,
inference(spm,[status(thm)],[c_0_2385,c_0_2386]) ).
cnf(c_0_2389,hypothesis,
( X1 = xr
| sdtasdt0(sz10,X1) != xr
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2387,c_0_2386]),c_0_2388]) ).
cnf(c_0_2390,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_130 ).
cnf(c_0_2391,plain,
( sdtpldt0(X1,X2) = xr
| sdtasdt0(sz10,sdtpldt0(X1,X2)) != xr
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_2389,c_0_2390]) ).
cnf(c_0_2392,plain,
sdtasdt0(X1,sdtpldt0(sz10,sdtmndt0(xr,sz10))) = sdtasdt0(X1,xr),
i_0_2337 ).
cnf(c_0_2393,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_117 ).
cnf(c_0_2394,plain,
( sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2391,c_0_2392]),c_0_2388]),c_0_2383])]) ).
cnf(c_0_2395,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
i_0_121 ).
cnf(c_0_2396,plain,
sdtlseqdt0(sz10,esk4_1(esk4_1(xr))),
i_0_1697 ).
cnf(c_0_2397,plain,
esk4_1(xr) = xr,
i_0_1592 ).
cnf(c_0_2398,plain,
( X1 = sdtmndt0(xr,sz10)
| sdtpldt0(sz10,X1) != xr
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2393,c_0_2394]),c_0_2383])]) ).
cnf(c_0_2399,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_2395]) ).
cnf(c_0_2400,plain,
sdtlseqdt0(sz10,xr),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2396,c_0_2397]),c_0_2397]) ).
cnf(c_0_2401,plain,
( X1 = sdtmndt0(xr,sz10)
| sdtpldt0(sz10,X1) != xr
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2398,c_0_2399]),c_0_2400]),c_0_2383]),c_0_2386])]) ).
cnf(c_0_2402,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_110 ).
cnf(c_0_2403,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_90 ).
cnf(c_0_2404,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_133 ).
cnf(c_0_2405,hypothesis,
aNaturalNumber0(xn),
i_0_170 ).
cnf(c_0_2406,hypothesis,
aNaturalNumber0(xm),
i_0_169 ).
cnf(c_0_2407,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_113 ).
cnf(c_0_2408,plain,
( sdtmndt0(xr,sz10) = esk1_2(sz10,xr)
| ~ aNaturalNumber0(esk1_2(sz10,xr)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2401,c_0_2402]),c_0_2383])])]),c_0_2400]),c_0_2386])]) ).
cnf(c_0_2409,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_119 ).
cnf(c_0_2410,negated_conjecture,
( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(sdtpldt0(xm,xn),xr)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),xr),sdtpldt0(sdtpldt0(xm,xn),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2403,c_0_2404]),c_0_2405]),c_0_2406])]) ).
cnf(c_0_2411,hypothesis,
aNaturalNumber0(xp),
i_0_168 ).
cnf(c_0_2412,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_116 ).
cnf(c_0_2413,plain,
sdtpldt0(sdtpldt0(sz10,sdtmndt0(xr,sz10)),X1) = sdtpldt0(xr,X1),
i_0_2344 ).
cnf(c_0_2414,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_2407]) ).
cnf(c_0_2415,plain,
sdtmndt0(xr,sz10) = esk1_2(sz10,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2408,c_0_2409]),c_0_2400]),c_0_2386]),c_0_2383])]) ).
cnf(c_0_2416,plain,
( sdtpldt0(sdtpldt0(xm,xn),xr) = sdtpldt0(xp,sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),xr),sdtpldt0(xp,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2410,c_0_2404]),c_0_2411])]) ).
cnf(c_0_2417,plain,
( X1 = sdtpldt0(sz10,sdtmndt0(xr,sz10))
| sdtpldt0(X1,X2) != sdtpldt0(xr,X2)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtmndt0(xr,sz10)))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_2412,c_0_2413]) ).
cnf(c_0_2418,plain,
sdtpldt0(sz10,esk1_2(sz10,xr)) = xr,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2414,c_0_2415]),c_0_2400]),c_0_2386]),c_0_2383])]) ).
cnf(c_0_2419,plain,
( sdtpldt0(xp,sdtpldt0(xm,xn)) = sdtpldt0(xr,sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xn)),sdtpldt0(xp,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2416,c_0_2404]),c_0_2386])]) ).
cnf(c_0_2420,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X2))
| X1 = X3
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_97 ).
cnf(c_0_2421,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2) ),
i_0_109 ).
cnf(c_0_2422,hypothesis,
sdtlseqdt0(xk,xp),
i_0_162 ).
cnf(c_0_2423,plain,
( X1 = xr
| sdtpldt0(X1,X2) != sdtpldt0(xr,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2417,c_0_2415]),c_0_2415]),c_0_2418]),c_0_2418]),c_0_2386])]) ).
cnf(c_0_2424,plain,
( sdtpldt0(xp,sdtpldt0(xm,xn)) = sdtpldt0(xr,sdtpldt0(xm,xn))
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2419,c_0_2420]),c_0_2411]),c_0_2386])]) ).
cnf(c_0_2425,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2421,c_0_2422]),c_0_2411])]) ).
cnf(c_0_2426,hypothesis,
sdtlseqdt0(xr,xk),
i_0_161 ).
cnf(c_0_2427,plain,
( aNaturalNumber0(X1)
| X2 = sz00
| X1 != sdtsldt0(X3,X2)
| ~ doDivides0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_120 ).
cnf(c_0_2428,plain,
( xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2423,c_0_2424]),c_0_2411])]) ).
cnf(c_0_2429,hypothesis,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2425,c_0_2426]),c_0_2386])]) ).
cnf(c_0_2430,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
inference(er,[status(thm)],[c_0_2427]) ).
cnf(c_0_2431,hypothesis,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
i_0_140 ).
cnf(c_0_2432,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_139 ).
cnf(c_0_2433,hypothesis,
( xp = xr
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xk) ),
inference(spm,[status(thm)],[c_0_2428,c_0_2429]) ).
cnf(c_0_2434,hypothesis,
( xp = sz00
| aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2430,c_0_2431]),c_0_2411]),c_0_2432])]) ).
cnf(c_0_2435,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_129 ).
cnf(c_0_2436,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
i_0_122 ).
cnf(c_0_2437,hypothesis,
xk != xp,
i_0_173 ).
cnf(c_0_2438,plain,
( xp = xr
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2433,c_0_2390]),c_0_2405]),c_0_2406])]) ).
cnf(c_0_2439,plain,
( xp = sz00
| aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2434,c_0_2435]),c_0_2406]),c_0_2405])]) ).
cnf(c_0_2440,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
i_0_159 ).
cnf(c_0_2441,plain,
aNaturalNumber0(sz00),
i_0_172 ).
cnf(c_0_2442,plain,
esk4_1(esk4_1(xr)) = sdtpldt0(xr,sdtmndt0(xr,xr)),
i_0_1722 ).
cnf(c_0_2443,hypothesis,
( ~ sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xk) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2436,c_0_2422]),c_0_2411])]),c_0_2437]) ).
cnf(c_0_2444,hypothesis,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2421,c_0_2426]),c_0_2386])]) ).
cnf(c_0_2445,hypothesis,
isPrime0(xp),
i_0_166 ).
cnf(c_0_2446,plain,
( xp = sz00
| xp = xr ),
inference(spm,[status(thm)],[c_0_2438,c_0_2439]) ).
cnf(c_0_2447,plain,
~ isPrime0(sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_2440]),c_0_2441])]) ).
cnf(c_0_2448,plain,
sdtlseqdt0(esk4_1(esk4_1(xr)),sdtpldt0(xr,sdtmndt0(xr,xr))),
i_0_1709 ).
cnf(c_0_2449,plain,
sdtpldt0(xr,sdtmndt0(xr,xr)) = xr,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2442,c_0_2397]),c_0_2397]) ).
cnf(c_0_2450,plain,
esk4_1(esk4_1(xr)) != sz00,
i_0_1663 ).
cnf(c_0_2451,hypothesis,
( ~ sdtlseqdt0(xp,xr)
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2443,c_0_2444]),c_0_2411])]) ).
cnf(c_0_2452,hypothesis,
xp = xr,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2445,c_0_2446]),c_0_2447]) ).
cnf(c_0_2453,plain,
sdtlseqdt0(xr,xr),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2448,c_0_2397]),c_0_2397]),c_0_2449]) ).
cnf(c_0_2454,plain,
sz00 != xr,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2450,c_0_2397]),c_0_2397]) ).
cnf(c_0_2455,hypothesis,
~ aNaturalNumber0(xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2451,c_0_2452]),c_0_2453])]) ).
cnf(c_0_2456,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2439,c_0_2452]),c_0_2454]),c_0_2455]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM507+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n007.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 00:39:53 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 201.28/129.29 % Version : CSE_E---1.7
% 201.28/129.29 % Problem : theBenchmark.p
% 201.28/129.29 % SZS status Theorem for theBenchmark.p
% 201.28/129.29 % SZS output start CNFRefutation
% See solution above
% 208.58/136.59 % Total time : 128.501s
%------------------------------------------------------------------------------