%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM529+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:42 PM UTC 2026
% Result : Theorem 42.09s 40.88s
% Output : CNFRefutation 49.68s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_202)
% Comments :
%------------------------------------------------------------------------------
fof(m__2963,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3)
& X1 != sz00
& X2 != sz00
& X3 != sz00 )
=> ( sdtasdt0(X3,sdtasdt0(X2,X2)) = sdtasdt0(X1,X1)
=> ( iLess0(X1,xn)
=> ~ isPrime0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2963) ).
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(mPDP,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( isPrime0(X3)
& doDivides0(X3,sdtasdt0(X1,X2)) )
=> ( doDivides0(X3,X1)
| doDivides0(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPDP) ).
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__3014,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(m__3082,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
fof(m__3046,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(m__3124,hypothesis,
( xm != xn
& sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3124) ).
fof(m__3059,hypothesis,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(m__3025,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
fof(m__2987,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(i_0_45,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3)
& X1 != sz00
& X2 != sz00
& X3 != sz00 )
=> ( sdtasdt0(X3,sdtasdt0(X2,X2)) = sdtasdt0(X1,X1)
=> ( iLess0(X1,xn)
=> ~ isPrime0(X3) ) ) ),
inference(fof_simplification,[status(thm)],[m__2963]) ).
fof(i_0_46,hypothesis,
! [X177,X178,X179] :
( ~ aNaturalNumber0(X177)
| ~ aNaturalNumber0(X178)
| ~ aNaturalNumber0(X179)
| X177 = sz00
| X178 = sz00
| X179 = sz00
| sdtasdt0(X179,sdtasdt0(X178,X178)) != sdtasdt0(X177,X177)
| ~ iLess0(X177,xn)
| ~ isPrime0(X179) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_45])]) ).
fof(i_0_47,plain,
! [X109,X110,X111] :
( ( sdtasdt0(X109,sdtpldt0(X110,X111)) = sdtpldt0(sdtasdt0(X109,X110),sdtasdt0(X109,X111))
| ~ aNaturalNumber0(X109)
| ~ aNaturalNumber0(X110)
| ~ aNaturalNumber0(X111) )
& ( sdtasdt0(sdtpldt0(X110,X111),X109) = sdtpldt0(sdtasdt0(X110,X109),sdtasdt0(X111,X109))
| ~ aNaturalNumber0(X109)
| ~ aNaturalNumber0(X110)
| ~ aNaturalNumber0(X111) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_48,plain,
! [X166,X167,X168] :
( ~ aNaturalNumber0(X166)
| ~ aNaturalNumber0(X167)
| X166 = sz00
| ~ doDivides0(X166,X167)
| ~ aNaturalNumber0(X168)
| sdtasdt0(X168,sdtsldt0(X167,X166)) = sdtsldt0(sdtasdt0(X168,X167),X166) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
fof(i_0_49,plain,
! [X161,X162,X163] :
( ~ aNaturalNumber0(X161)
| ~ aNaturalNumber0(X162)
| ~ aNaturalNumber0(X163)
| ~ doDivides0(X161,X162)
| ~ doDivides0(X161,sdtpldt0(X162,X163))
| doDivides0(X161,X163) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])]) ).
fof(i_0_50,plain,
! [X174,X175,X176] :
( ~ aNaturalNumber0(X174)
| ~ aNaturalNumber0(X175)
| ~ aNaturalNumber0(X176)
| ~ isPrime0(X176)
| ~ doDivides0(X176,sdtasdt0(X174,X175))
| doDivides0(X176,X174)
| doDivides0(X176,X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPDP])]) ).
fof(i_0_51,plain,
! [X140,X141,X142] :
( ( sdtasdt0(X140,X141) != sdtasdt0(X140,X142)
| X140 = sz00
| X141 = X142
| ~ sdtlseqdt0(X141,X142)
| ~ aNaturalNumber0(X140)
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) )
& ( sdtlseqdt0(sdtasdt0(X140,X141),sdtasdt0(X140,X142))
| X140 = sz00
| X141 = X142
| ~ sdtlseqdt0(X141,X142)
| ~ aNaturalNumber0(X140)
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) )
& ( sdtasdt0(X141,X140) != sdtasdt0(X142,X140)
| X140 = sz00
| X141 = X142
| ~ sdtlseqdt0(X141,X142)
| ~ aNaturalNumber0(X140)
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) )
& ( sdtlseqdt0(sdtasdt0(X141,X140),sdtasdt0(X142,X140))
| X140 = sz00
| X141 = X142
| ~ sdtlseqdt0(X141,X142)
| ~ aNaturalNumber0(X140)
| ~ aNaturalNumber0(X141)
| ~ aNaturalNumber0(X142) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(i_0_52,plain,
! [X137,X138,X139] :
( ( sdtpldt0(X139,X137) != sdtpldt0(X139,X138)
| ~ aNaturalNumber0(X139)
| X137 = X138
| ~ sdtlseqdt0(X137,X138)
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138) )
& ( sdtlseqdt0(sdtpldt0(X139,X137),sdtpldt0(X139,X138))
| ~ aNaturalNumber0(X139)
| X137 = X138
| ~ sdtlseqdt0(X137,X138)
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138) )
& ( sdtpldt0(X137,X139) != sdtpldt0(X138,X139)
| ~ aNaturalNumber0(X139)
| X137 = X138
| ~ sdtlseqdt0(X137,X138)
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138) )
& ( sdtlseqdt0(sdtpldt0(X137,X139),sdtpldt0(X138,X139))
| ~ aNaturalNumber0(X139)
| X137 = X138
| ~ sdtlseqdt0(X137,X138)
| ~ aNaturalNumber0(X137)
| ~ aNaturalNumber0(X138) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
fof(i_0_53,plain,
! [X158,X159,X160] :
( ~ aNaturalNumber0(X158)
| ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| ~ doDivides0(X158,X159)
| ~ doDivides0(X158,X160)
| doDivides0(X158,sdtpldt0(X159,X160)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivSum])]) ).
fof(i_0_54,plain,
! [X104,X105,X106] :
( ~ aNaturalNumber0(X104)
| ~ aNaturalNumber0(X105)
| ~ aNaturalNumber0(X106)
| sdtasdt0(sdtasdt0(X104,X105),X106) = sdtasdt0(X104,sdtasdt0(X105,X106)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_55,plain,
! [X98,X99,X100] :
( ~ aNaturalNumber0(X98)
| ~ aNaturalNumber0(X99)
| ~ aNaturalNumber0(X100)
| sdtpldt0(sdtpldt0(X98,X99),X100) = sdtpldt0(X98,sdtpldt0(X99,X100)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_56,plain,
! [X152,X153,X154] :
( ( aNaturalNumber0(X154)
| X154 != sdtsldt0(X153,X152)
| X152 = sz00
| ~ doDivides0(X152,X153)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153) )
& ( X153 = sdtasdt0(X152,X154)
| X154 != sdtsldt0(X153,X152)
| X152 = sz00
| ~ doDivides0(X152,X153)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153) )
& ( ~ aNaturalNumber0(X154)
| X153 != sdtasdt0(X152,X154)
| X154 = sdtsldt0(X153,X152)
| X152 = sz00
| ~ doDivides0(X152,X153)
| ~ aNaturalNumber0(X152)
| ~ aNaturalNumber0(X153) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
fof(i_0_57,plain,
! [X126,X127,X128] :
( ( aNaturalNumber0(X128)
| X128 != sdtmndt0(X127,X126)
| ~ sdtlseqdt0(X126,X127)
| ~ aNaturalNumber0(X126)
| ~ aNaturalNumber0(X127) )
& ( sdtpldt0(X126,X128) = X127
| X128 != sdtmndt0(X127,X126)
| ~ sdtlseqdt0(X126,X127)
| ~ aNaturalNumber0(X126)
| ~ aNaturalNumber0(X127) )
& ( ~ aNaturalNumber0(X128)
| sdtpldt0(X126,X128) != X127
| X128 = sdtmndt0(X127,X126)
| ~ sdtlseqdt0(X126,X127)
| ~ aNaturalNumber0(X126)
| ~ aNaturalNumber0(X127) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(i_0_58,plain,
! [X155,X156,X157] :
( ~ aNaturalNumber0(X155)
| ~ aNaturalNumber0(X156)
| ~ aNaturalNumber0(X157)
| ~ doDivides0(X155,X156)
| ~ doDivides0(X156,X157)
| doDivides0(X155,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(i_0_59,plain,
! [X132,X133,X134] :
( ~ aNaturalNumber0(X132)
| ~ aNaturalNumber0(X133)
| ~ aNaturalNumber0(X134)
| ~ sdtlseqdt0(X132,X133)
| ~ sdtlseqdt0(X133,X134)
| sdtlseqdt0(X132,X134) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(i_0_60,plain,
! [X122,X123,X125] :
( ( aNaturalNumber0(esk1_2(X122,X123))
| ~ sdtlseqdt0(X122,X123)
| ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123) )
& ( sdtpldt0(X122,esk1_2(X122,X123)) = X123
| ~ sdtlseqdt0(X122,X123)
| ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123) )
& ( ~ aNaturalNumber0(X125)
| sdtpldt0(X122,X125) != X123
| sdtlseqdt0(X122,X123)
| ~ aNaturalNumber0(X122)
| ~ aNaturalNumber0(X123) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])]) ).
fof(i_0_61,plain,
! [X148,X149,X151] :
( ( aNaturalNumber0(esk2_2(X148,X149))
| ~ doDivides0(X148,X149)
| ~ aNaturalNumber0(X148)
| ~ aNaturalNumber0(X149) )
& ( X149 = sdtasdt0(X148,esk2_2(X148,X149))
| ~ doDivides0(X148,X149)
| ~ aNaturalNumber0(X148)
| ~ aNaturalNumber0(X149) )
& ( ~ aNaturalNumber0(X151)
| X149 != sdtasdt0(X148,X151)
| doDivides0(X148,X149)
| ~ aNaturalNumber0(X148)
| ~ aNaturalNumber0(X149) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
fof(i_0_62,plain,
! [X115,X116,X117] :
( ( sdtasdt0(X115,X116) != sdtasdt0(X115,X117)
| X116 = X117
| ~ aNaturalNumber0(X116)
| ~ aNaturalNumber0(X117)
| X115 = sz00
| ~ aNaturalNumber0(X115) )
& ( sdtasdt0(X116,X115) != sdtasdt0(X117,X115)
| X116 = X117
| ~ aNaturalNumber0(X116)
| ~ aNaturalNumber0(X117)
| X115 = sz00
| ~ aNaturalNumber0(X115) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
fof(i_0_63,plain,
! [X112,X113,X114] :
( ( sdtpldt0(X112,X113) != sdtpldt0(X112,X114)
| X113 = X114
| ~ aNaturalNumber0(X112)
| ~ aNaturalNumber0(X113)
| ~ aNaturalNumber0(X114) )
& ( sdtpldt0(X113,X112) != sdtpldt0(X114,X112)
| X113 = X114
| ~ aNaturalNumber0(X112)
| ~ aNaturalNumber0(X113)
| ~ aNaturalNumber0(X114) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(i_0_64,plain,
! [X130,X131] :
( ~ aNaturalNumber0(X130)
| ~ aNaturalNumber0(X131)
| ~ sdtlseqdt0(X130,X131)
| ~ sdtlseqdt0(X131,X130)
| X130 = X131 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(i_0_65,plain,
! [X144,X145] :
( ~ aNaturalNumber0(X144)
| ~ aNaturalNumber0(X145)
| X144 = sz00
| sdtlseqdt0(X145,sdtasdt0(X145,X144)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(i_0_66,plain,
! [X146,X147] :
( ~ aNaturalNumber0(X146)
| ~ aNaturalNumber0(X147)
| X146 = X147
| ~ sdtlseqdt0(X146,X147)
| iLess0(X146,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(i_0_67,plain,
! [X164,X165] :
( ~ aNaturalNumber0(X164)
| ~ aNaturalNumber0(X165)
| ~ doDivides0(X164,X165)
| X165 = sz00
| sdtlseqdt0(X164,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(i_0_68,plain,
! [X169,X170] :
( ( X169 != sz00
| ~ isPrime0(X169)
| ~ aNaturalNumber0(X169) )
& ( X169 != sz10
| ~ isPrime0(X169)
| ~ aNaturalNumber0(X169) )
& ( ~ aNaturalNumber0(X170)
| ~ doDivides0(X170,X169)
| X170 = sz10
| X170 = X169
| ~ isPrime0(X169)
| ~ aNaturalNumber0(X169) )
& ( aNaturalNumber0(esk3_1(X169))
| X169 = sz00
| X169 = sz10
| isPrime0(X169)
| ~ aNaturalNumber0(X169) )
& ( doDivides0(esk3_1(X169),X169)
| X169 = sz00
| X169 = sz10
| isPrime0(X169)
| ~ aNaturalNumber0(X169) )
& ( esk3_1(X169) != sz10
| X169 = sz00
| X169 = sz10
| isPrime0(X169)
| ~ aNaturalNumber0(X169) )
& ( esk3_1(X169) != X169
| X169 = sz00
| X169 = sz10
| isPrime0(X169)
| ~ aNaturalNumber0(X169) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrime])])])])]) ).
fof(i_0_69,plain,
! [X94,X95] :
( ~ aNaturalNumber0(X94)
| ~ aNaturalNumber0(X95)
| aNaturalNumber0(sdtasdt0(X94,X95)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_70,plain,
! [X92,X93] :
( ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X93)
| aNaturalNumber0(sdtpldt0(X92,X93)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_71,plain,
! [X135,X136] :
( ( X136 != X135
| sdtlseqdt0(X135,X136)
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136) )
& ( sdtlseqdt0(X136,X135)
| sdtlseqdt0(X135,X136)
| ~ aNaturalNumber0(X135)
| ~ aNaturalNumber0(X136) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
fof(i_0_72,plain,
! [X102,X103] :
( ~ aNaturalNumber0(X102)
| ~ aNaturalNumber0(X103)
| sdtasdt0(X102,X103) = sdtasdt0(X103,X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_73,plain,
! [X96,X97] :
( ~ aNaturalNumber0(X96)
| ~ aNaturalNumber0(X97)
| sdtpldt0(X96,X97) = sdtpldt0(X97,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_74,plain,
! [X120,X121] :
( ~ aNaturalNumber0(X120)
| ~ aNaturalNumber0(X121)
| sdtasdt0(X120,X121) != sz00
| X120 = sz00
| X121 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(i_0_75,plain,
! [X118,X119] :
( ( X118 = sz00
| sdtpldt0(X118,X119) != sz00
| ~ aNaturalNumber0(X118)
| ~ aNaturalNumber0(X119) )
& ( X119 = sz00
| sdtpldt0(X118,X119) != sz00
| ~ aNaturalNumber0(X118)
| ~ aNaturalNumber0(X119) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(i_0_76,plain,
! [X172] :
( ( aNaturalNumber0(esk4_1(X172))
| ~ aNaturalNumber0(X172)
| X172 = sz00
| X172 = sz10 )
& ( doDivides0(esk4_1(X172),X172)
| ~ aNaturalNumber0(X172)
| X172 = sz00
| X172 = sz10 )
& ( isPrime0(esk4_1(X172))
| ~ aNaturalNumber0(X172)
| X172 = sz00
| X172 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(i_0_77,plain,
! [X143] :
( ( sz10 != X143
| X143 = sz00
| X143 = sz10
| ~ aNaturalNumber0(X143) )
& ( sdtlseqdt0(sz10,X143)
| X143 = sz00
| X143 = sz10
| ~ aNaturalNumber0(X143) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(i_0_78,plain,
! [X129] :
( ~ aNaturalNumber0(X129)
| sdtlseqdt0(X129,X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).
fof(i_0_79,plain,
! [X107] :
( ( sdtasdt0(X107,sz10) = X107
| ~ aNaturalNumber0(X107) )
& ( X107 = sdtasdt0(sz10,X107)
| ~ aNaturalNumber0(X107) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(i_0_80,plain,
! [X101] :
( ( sdtpldt0(X101,sz00) = X101
| ~ aNaturalNumber0(X101) )
& ( X101 = sdtpldt0(sz00,X101)
| ~ aNaturalNumber0(X101) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(i_0_81,plain,
! [X108] :
( ( sdtasdt0(X108,sz00) = sz00
| ~ aNaturalNumber0(X108) )
& ( sz00 = sdtasdt0(sz00,X108)
| ~ aNaturalNumber0(X108) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
cnf(i_0_82,hypothesis,
( X1 = sz00
| X2 = sz00
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,sdtasdt0(X2,X2)) != sdtasdt0(X1,X1)
| ~ iLess0(X1,xn)
| ~ isPrime0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_83,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_47]),
[final] ).
cnf(i_0_84,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_47]),
[final] ).
cnf(i_0_85,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_48]),
[final] ).
cnf(i_0_86,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_49]),
[final] ).
cnf(i_0_87,plain,
( doDivides0(X3,X1)
| doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X3)
| ~ doDivides0(X3,sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_88,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
| X2 = sz00
| X1 = X3
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_89,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_90,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X2))
| X1 = X3
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_91,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
| X2 = X3
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_92,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_93,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_94,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_95,plain,
( X2 = sz00
| X1 = X3
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_96,plain,
( X1 = sz00
| X2 = X3
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_97,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_98,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_99,plain,
( X1 = sdtsldt0(X2,X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_100,plain,
( X1 = sdtmndt0(X3,X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_101,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_102,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_103,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_104,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_105,plain,
( X1 = sdtasdt0(X2,X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_106,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_107,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_108,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_109,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_110,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_111,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_112,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_113,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_114,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_115,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_116,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_117,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_118,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_119,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_120,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_121,plain,
( X1 = sz10
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_122,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_123,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_124,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[m__3014]),
[final] ).
cnf(i_0_125,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(split_conjunct,[status(thm)],[m__3082]),
[final] ).
cnf(i_0_126,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_127,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_128,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_129,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_130,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_131,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_132,plain,
( doDivides0(esk3_1(X1),X1)
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_133,hypothesis,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(split_conjunct,[status(thm)],[m__3046]),
[final] ).
cnf(i_0_134,plain,
( sdtlseqdt0(X2,X1)
| X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_135,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_136,plain,
( aNaturalNumber0(esk3_1(X1))
| X1 = sz00
| X1 = sz10
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_137,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_138,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_139,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(X1)
| esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_140,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_141,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_142,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_143,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_144,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_145,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_146,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_147,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_148,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_149,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_150,plain,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_151,hypothesis,
doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[m__3046]),
[final] ).
cnf(i_0_152,hypothesis,
sdtlseqdt0(xm,xn),
inference(split_conjunct,[status(thm)],[m__3124]),
[final] ).
cnf(i_0_153,hypothesis,
xq = sdtsldt0(xn,xp),
inference(split_conjunct,[status(thm)],[m__3059]),
[final] ).
cnf(i_0_154,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[m__3025]),
[final] ).
cnf(i_0_155,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__2987]),
[final] ).
cnf(i_0_156,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__2987]),
[final] ).
cnf(i_0_157,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__2987]),
[final] ).
cnf(i_0_158,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_159,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_160,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[m__2987]),
[final] ).
cnf(i_0_161,hypothesis,
xm != xn,
inference(split_conjunct,[status(thm)],[m__3124]),
[final] ).
cnf(i_0_162,hypothesis,
xm != sz00,
inference(split_conjunct,[status(thm)],[m__2987]),
[final] ).
cnf(i_0_163,hypothesis,
xn != sz00,
inference(split_conjunct,[status(thm)],[m__2987]),
[final] ).
cnf(i_0_164,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_165,axiom,
X1 = X1 ).
cnf(i_0_166,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_167,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_168,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| sdtsldt0(X1,X3) = sdtsldt0(X2,X3) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| sdtsldt0(X3,X1) = sdtsldt0(X3,X2) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ isPrime0(X1)
| isPrime0(X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_1693,plain,
sdtlseqdt0(sdtasdt0(esk4_1(xp),xm),sdtasdt0(esk4_1(xp),xn)),
inference(scs_inference,[],[i_0_202,i_0_305,i_0_540,i_0_623,i_0_1560,i_0_1532,i_0_1534,i_0_1570,i_0_577,i_0_1530,i_0_1562,i_0_1524,i_0_1548,i_0_1552,i_0_1520,i_0_1521,i_0_1166,i_0_1378,i_0_1525,i_0_1556,i_0_1538,i_0_1518,i_0_1522,i_0_804,i_0_260,i_0_1163,i_0_133,i_0_152,i_0_240,i_0_161,i_0_203,i_0_234,i_0_604,i_0_228,i_0_543,i_0_1480,i_0_668,i_0_308,i_0_1343,i_0_151,i_0_590,i_0_208,i_0_164,i_0_566,i_0_229,i_0_389,i_0_158,i_0_236,i_0_159,i_0_160,i_0_156,i_0_157,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_183,i_0_184,i_0_149,i_0_180,i_0_123,i_0_181,i_0_182,i_0_167,i_0_112,i_0_141,i_0_142,i_0_130,i_0_93,i_0_94,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_197,i_0_196,i_0_109,i_0_110,i_0_129,i_0_115,i_0_106,i_0_114,i_0_120,i_0_187,i_0_119,i_0_90,i_0_91,i_0_107,i_0_85,i_0_92,i_0_108,i_0_102,i_0_101,i_0_88,i_0_89]) ).
cnf(i_0_1696,plain,
esk4_1(esk4_1(xp)) != sz00,
inference(scs_inference,[],[i_0_202,i_0_305,i_0_540,i_0_623,i_0_1560,i_0_1532,i_0_1534,i_0_1570,i_0_577,i_0_1530,i_0_1562,i_0_1524,i_0_1548,i_0_1552,i_0_1520,i_0_1521,i_0_1166,i_0_1378,i_0_1525,i_0_1556,i_0_1538,i_0_1518,i_0_1522,i_0_804,i_0_260,i_0_1163,i_0_133,i_0_152,i_0_240,i_0_161,i_0_203,i_0_234,i_0_604,i_0_228,i_0_543,i_0_1480,i_0_668,i_0_308,i_0_1343,i_0_151,i_0_590,i_0_208,i_0_164,i_0_566,i_0_229,i_0_389,i_0_158,i_0_236,i_0_159,i_0_160,i_0_156,i_0_157,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_183,i_0_184,i_0_149,i_0_180,i_0_123,i_0_181,i_0_182,i_0_167,i_0_112,i_0_141,i_0_142,i_0_130,i_0_93,i_0_94,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_197,i_0_196,i_0_109,i_0_110,i_0_129,i_0_115,i_0_106,i_0_114,i_0_120,i_0_187,i_0_119,i_0_90,i_0_91,i_0_107,i_0_85,i_0_92,i_0_108,i_0_102,i_0_101,i_0_88,i_0_89,i_0_452,i_0_150]) ).
cnf(i_0_1698,plain,
iLess0(xm,sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,xq),xn))),
inference(scs_inference,[],[i_0_202,i_0_305,i_0_540,i_0_623,i_0_1560,i_0_1532,i_0_1534,i_0_1570,i_0_577,i_0_1530,i_0_1562,i_0_1524,i_0_1548,i_0_1552,i_0_1520,i_0_1521,i_0_1166,i_0_1378,i_0_1525,i_0_1556,i_0_1538,i_0_1518,i_0_1522,i_0_804,i_0_260,i_0_1163,i_0_133,i_0_685,i_0_152,i_0_240,i_0_161,i_0_203,i_0_234,i_0_604,i_0_228,i_0_543,i_0_1480,i_0_668,i_0_308,i_0_1343,i_0_151,i_0_590,i_0_208,i_0_164,i_0_566,i_0_229,i_0_389,i_0_158,i_0_236,i_0_159,i_0_160,i_0_156,i_0_157,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_183,i_0_184,i_0_149,i_0_180,i_0_123,i_0_181,i_0_182,i_0_167,i_0_112,i_0_141,i_0_142,i_0_130,i_0_93,i_0_94,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_197,i_0_196,i_0_109,i_0_110,i_0_129,i_0_115,i_0_106,i_0_114,i_0_120,i_0_187,i_0_119,i_0_90,i_0_91,i_0_107,i_0_85,i_0_92,i_0_108,i_0_102,i_0_101,i_0_88,i_0_89,i_0_452,i_0_150,i_0_179]) ).
cnf(i_0_1699,plain,
iLess0(sdtpldt0(xm,sdtmndt0(xm,xm)),xn),
inference(scs_inference,[],[i_0_202,i_0_305,i_0_540,i_0_623,i_0_1560,i_0_1532,i_0_1534,i_0_1570,i_0_577,i_0_1530,i_0_1562,i_0_1524,i_0_1548,i_0_1552,i_0_1520,i_0_1521,i_0_1166,i_0_1378,i_0_1525,i_0_1556,i_0_1538,i_0_1518,i_0_1522,i_0_804,i_0_260,i_0_1163,i_0_133,i_0_720,i_0_685,i_0_152,i_0_240,i_0_161,i_0_203,i_0_234,i_0_604,i_0_228,i_0_543,i_0_1480,i_0_668,i_0_308,i_0_1343,i_0_151,i_0_590,i_0_208,i_0_164,i_0_566,i_0_229,i_0_389,i_0_158,i_0_236,i_0_159,i_0_160,i_0_156,i_0_157,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_183,i_0_184,i_0_149,i_0_180,i_0_123,i_0_181,i_0_182,i_0_167,i_0_112,i_0_141,i_0_142,i_0_130,i_0_93,i_0_94,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_197,i_0_196,i_0_109,i_0_110,i_0_129,i_0_115,i_0_106,i_0_114,i_0_120,i_0_187,i_0_119,i_0_90,i_0_91,i_0_107,i_0_85,i_0_92,i_0_108,i_0_102,i_0_101,i_0_88,i_0_89,i_0_452,i_0_150,i_0_179,i_0_178]) ).
cnf(i_0_1702,plain,
sdtlseqdt0(esk4_1(xp),sdtasdt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_202,i_0_305,i_0_540,i_0_623,i_0_1560,i_0_1532,i_0_1534,i_0_1570,i_0_577,i_0_1530,i_0_1562,i_0_1524,i_0_1548,i_0_1552,i_0_1520,i_0_1521,i_0_1166,i_0_1378,i_0_1525,i_0_1556,i_0_1538,i_0_1518,i_0_1522,i_0_804,i_0_260,i_0_1163,i_0_133,i_0_720,i_0_685,i_0_152,i_0_240,i_0_161,i_0_203,i_0_234,i_0_604,i_0_228,i_0_543,i_0_1480,i_0_668,i_0_308,i_0_1343,i_0_151,i_0_590,i_0_208,i_0_164,i_0_566,i_0_229,i_0_389,i_0_158,i_0_236,i_0_159,i_0_160,i_0_156,i_0_157,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_183,i_0_184,i_0_149,i_0_180,i_0_123,i_0_181,i_0_182,i_0_167,i_0_112,i_0_141,i_0_142,i_0_130,i_0_93,i_0_94,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_197,i_0_196,i_0_109,i_0_110,i_0_129,i_0_115,i_0_106,i_0_114,i_0_120,i_0_187,i_0_119,i_0_90,i_0_91,i_0_107,i_0_85,i_0_92,i_0_108,i_0_102,i_0_101,i_0_88,i_0_89,i_0_452,i_0_150,i_0_179,i_0_178,i_0_111,i_0_118]) ).
cnf(i_0_1708,plain,
aNaturalNumber0(sdtsldt0(xp,esk4_1(xp))),
inference(scs_inference,[],[i_0_202,i_0_305,i_0_540,i_0_623,i_0_1560,i_0_1532,i_0_1534,i_0_1570,i_0_577,i_0_1530,i_0_1562,i_0_253,i_0_1524,i_0_1548,i_0_1552,i_0_1520,i_0_1521,i_0_1166,i_0_1378,i_0_1525,i_0_1556,i_0_1538,i_0_1518,i_0_1522,i_0_506,i_0_804,i_0_260,i_0_1163,i_0_133,i_0_720,i_0_685,i_0_152,i_0_240,i_0_161,i_0_203,i_0_234,i_0_604,i_0_228,i_0_543,i_0_1480,i_0_668,i_0_308,i_0_1343,i_0_151,i_0_399,i_0_590,i_0_208,i_0_164,i_0_566,i_0_229,i_0_389,i_0_158,i_0_236,i_0_271,i_0_159,i_0_160,i_0_156,i_0_157,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_183,i_0_184,i_0_149,i_0_180,i_0_123,i_0_181,i_0_182,i_0_167,i_0_112,i_0_141,i_0_142,i_0_130,i_0_93,i_0_94,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_197,i_0_196,i_0_109,i_0_110,i_0_129,i_0_115,i_0_106,i_0_114,i_0_120,i_0_187,i_0_119,i_0_90,i_0_91,i_0_107,i_0_85,i_0_92,i_0_108,i_0_102,i_0_101,i_0_88,i_0_89,i_0_452,i_0_150,i_0_179,i_0_178,i_0_111,i_0_118,i_0_195,i_0_189,i_0_194]) ).
cnf(i_0_1710,plain,
xp = sdtasdt0(esk4_1(xp),sdtsldt0(xp,esk4_1(xp))),
inference(scs_inference,[],[i_0_202,i_0_305,i_0_540,i_0_623,i_0_1560,i_0_1532,i_0_1534,i_0_1570,i_0_577,i_0_1530,i_0_1562,i_0_253,i_0_1524,i_0_1548,i_0_1552,i_0_1520,i_0_1521,i_0_1166,i_0_1378,i_0_1525,i_0_1556,i_0_1538,i_0_1518,i_0_1522,i_0_506,i_0_804,i_0_260,i_0_1163,i_0_133,i_0_720,i_0_685,i_0_152,i_0_240,i_0_161,i_0_203,i_0_234,i_0_604,i_0_228,i_0_543,i_0_1480,i_0_668,i_0_308,i_0_1343,i_0_151,i_0_399,i_0_590,i_0_208,i_0_164,i_0_566,i_0_229,i_0_389,i_0_158,i_0_236,i_0_271,i_0_159,i_0_160,i_0_156,i_0_157,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_183,i_0_184,i_0_149,i_0_180,i_0_123,i_0_181,i_0_182,i_0_167,i_0_112,i_0_141,i_0_142,i_0_130,i_0_93,i_0_94,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_197,i_0_196,i_0_109,i_0_110,i_0_129,i_0_115,i_0_106,i_0_114,i_0_120,i_0_187,i_0_119,i_0_90,i_0_91,i_0_107,i_0_85,i_0_92,i_0_108,i_0_102,i_0_101,i_0_88,i_0_89,i_0_452,i_0_150,i_0_179,i_0_178,i_0_111,i_0_118,i_0_195,i_0_189,i_0_194,i_0_188]) ).
cnf(i_0_2379,plain,
sdtpldt0(esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp)),sz00) = esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp)),
inference(scs_inference,[],[i_0_1530,i_0_144]) ).
cnf(i_0_2381,plain,
esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp)) = sdtasdt0(sz10,esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_1530,i_0_144,i_0_145]) ).
cnf(i_0_2383,plain,
esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp)) = sdtpldt0(sz00,esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_1530,i_0_144,i_0_145,i_0_146]) ).
cnf(i_0_2385,plain,
sdtasdt0(esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp)),sz00) = sz00,
inference(scs_inference,[],[i_0_1530,i_0_144,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_2387,plain,
sz00 = sdtasdt0(sz00,esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp))),
inference(scs_inference,[],[i_0_1530,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148]) ).
cnf(i_0_2389,plain,
sdtasdt0(esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp)),sz10) = esk1_2(sdtmndt0(xp,xp),sdtmndt0(xp,xp)),
inference(scs_inference,[],[i_0_1530,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143]) ).
cnf(i_0_1719,plain,
xq = sz00,
inference(scs_inference,[],[i_0_1673,i_0_1027]) ).
cnf(i_0_1720,plain,
xq = sz00,
inference(scs_inference,[],[i_0_1698,i_0_1029]) ).
cnf(i_0_1721,plain,
xq = sz00,
inference(scs_inference,[],[i_0_1699,i_0_1030]) ).
cnf(i_0_1722,plain,
sdtpldt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sz00) = sdtasdt0(esk4_1(xp),esk4_1(xp)),
inference(scs_inference,[],[i_0_1617,i_0_144]) ).
cnf(i_0_1724,plain,
sdtasdt0(esk4_1(xp),esk4_1(xp)) = sdtasdt0(sz10,sdtasdt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1617,i_0_144,i_0_145]) ).
cnf(i_0_1726,plain,
sdtasdt0(esk4_1(xp),esk4_1(xp)) = sdtpldt0(sz00,sdtasdt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1617,i_0_144,i_0_145,i_0_146]) ).
cnf(i_0_1728,plain,
sdtasdt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sz00) = sz00,
inference(scs_inference,[],[i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_1730,plain,
sz00 = sdtasdt0(sz00,sdtasdt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148]) ).
cnf(i_0_1732,plain,
sdtasdt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sz10) = sdtasdt0(esk4_1(xp),esk4_1(xp)),
inference(scs_inference,[],[i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143]) ).
cnf(i_0_1734,plain,
sdtasdt0(sdtpldt0(esk4_1(xp),sz00),X1) = sdtasdt0(esk4_1(xp),X1),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168]) ).
cnf(i_0_1735,plain,
sdtasdt0(X1,sdtpldt0(esk4_1(xp),sz00)) = sdtasdt0(X1,esk4_1(xp)),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169]) ).
cnf(i_0_1736,plain,
sdtpldt0(sdtpldt0(esk4_1(xp),sz00),X1) = sdtpldt0(esk4_1(xp),X1),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170]) ).
cnf(i_0_1737,plain,
sdtpldt0(X1,sdtpldt0(esk4_1(xp),sz00)) = sdtpldt0(X1,esk4_1(xp)),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171]) ).
cnf(i_0_1738,plain,
sdtsldt0(sdtpldt0(esk4_1(xp),sz00),X1) = sdtsldt0(esk4_1(xp),X1),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172]) ).
cnf(i_0_1739,plain,
sdtsldt0(X1,sdtpldt0(esk4_1(xp),sz00)) = sdtsldt0(X1,esk4_1(xp)),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173]) ).
cnf(i_0_1740,plain,
sdtmndt0(sdtpldt0(esk4_1(xp),sz00),X1) = sdtmndt0(esk4_1(xp),X1),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174]) ).
cnf(i_0_1741,plain,
sdtmndt0(X1,sdtpldt0(esk4_1(xp),sz00)) = sdtmndt0(X1,esk4_1(xp)),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175]) ).
cnf(i_0_1742,plain,
esk3_1(sdtpldt0(esk4_1(xp),sz00)) = esk3_1(esk4_1(xp)),
inference(scs_inference,[],[i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176]) ).
cnf(i_0_1743,plain,
sdtpldt0(sz00,sz00) != sdtpldt0(sz00,xp),
inference(scs_inference,[],[i_0_1564,i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166]) ).
cnf(i_0_1744,plain,
aNaturalNumber0(sdtasdt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sdtasdt0(esk4_1(xp),esk4_1(xp)))),
inference(scs_inference,[],[i_0_1564,i_0_1595,i_0_1617,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122]) ).
cnf(i_0_1746,plain,
esk4_1(esk4_1(xp)) != sz10,
inference(scs_inference,[],[i_0_1564,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149]) ).
cnf(i_0_1748,plain,
sdtlseqdt0(sdtasdt0(sz10,esk4_1(xp)),xp),
inference(scs_inference,[],[i_0_1564,i_0_1669,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183]) ).
cnf(i_0_1749,plain,
sdtlseqdt0(sz10,sdtasdt0(sz10,esk4_1(xp))),
inference(scs_inference,[],[i_0_1564,i_0_1651,i_0_1669,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184]) ).
cnf(i_0_1750,plain,
aNaturalNumber0(sdtpldt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sdtasdt0(esk4_1(xp),esk4_1(xp)))),
inference(scs_inference,[],[i_0_1564,i_0_1651,i_0_1669,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123]) ).
cnf(i_0_1752,plain,
isPrime0(sdtasdt0(sz10,esk4_1(xp))),
inference(scs_inference,[],[i_0_1564,i_0_1651,i_0_1669,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1532,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180]) ).
cnf(i_0_1753,plain,
iLess0(xm,sdtasdt0(xp,sdtpldt0(xq,sdtmndt0(xq,xq)))),
inference(scs_inference,[],[i_0_1673,i_0_1564,i_0_1651,i_0_1669,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1532,i_0_634,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179]) ).
cnf(i_0_1754,plain,
doDivides0(esk4_1(esk4_1(xp)),sdtasdt0(sz10,esk4_1(xp))),
inference(scs_inference,[],[i_0_1673,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1532,i_0_634,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182]) ).
cnf(i_0_1755,plain,
doDivides0(sdtasdt0(sz10,esk4_1(xp)),sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xn)),xn)),
inference(scs_inference,[],[i_0_1673,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1689,i_0_1532,i_0_634,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181]) ).
cnf(i_0_1756,plain,
~ iLess0(sdtpldt0(sdtasdt0(xp,xq),sdtmndt0(sdtasdt0(xp,xq),sdtasdt0(xp,xq))),sdtasdt0(xp,xq)),
inference(scs_inference,[],[i_0_1673,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1689,i_0_270,i_0_1532,i_0_634,i_0_310,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178]) ).
cnf(i_0_1757,plain,
sdtmndt0(xp,sz10) != sdtmndt0(sdtpldt0(sz10,sdtmndt0(sz10,sz10)),sz10),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1689,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_310,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167]) ).
cnf(i_0_1762,plain,
esk4_1(xp) = sdtasdt0(esk4_1(esk4_1(xp)),esk2_2(esk4_1(esk4_1(xp)),esk4_1(xp))),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_718,i_0_1689,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_1534,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104]) ).
cnf(i_0_1768,plain,
isPrime0(esk4_1(esk4_1(esk4_1(xp)))),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_1534,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141]) ).
cnf(i_0_1770,plain,
aNaturalNumber0(esk4_1(esk4_1(esk4_1(xp)))),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_1534,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142]) ).
cnf(i_0_1772,plain,
sdtasdt0(sdtpldt0(xq,xq),xq) = sdtpldt0(sdtasdt0(xq,xq),sdtasdt0(xq,xq)),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_1534,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83]) ).
cnf(i_0_1774,plain,
sdtasdt0(xq,sdtpldt0(xq,xq)) = sdtpldt0(sdtasdt0(xq,xq),sdtasdt0(xq,xq)),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_1534,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84]) ).
cnf(i_0_1776,plain,
sdtpldt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sdtasdt0(esk4_1(xp),esk4_1(xp))) != sz00,
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_1534,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131]) ).
cnf(i_0_1778,plain,
sdtpldt0(sdtmndt0(sz10,sz10),esk1_2(sdtmndt0(sz10,sz10),sdtmndt0(sz10,sz10))) = sdtmndt0(sz10,sz10),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_1534,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103]) ).
cnf(i_0_1780,plain,
doDivides0(esk4_1(esk4_1(esk4_1(xp))),esk4_1(esk4_1(xp))),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_1534,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135]) ).
cnf(i_0_1782,plain,
sdtlseqdt0(sz10,esk4_1(esk4_1(xp))),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_1534,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138]) ).
cnf(i_0_1784,plain,
sdtpldt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),esk4_1(xp)) != sdtpldt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sz10),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110]) ).
cnf(i_0_1786,plain,
sdtasdt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sdtasdt0(esk4_1(xp),esk4_1(xp))) != sz00,
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129]) ).
cnf(i_0_1788,plain,
~ sdtlseqdt0(esk4_1(xp),sz10),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115]) ).
cnf(i_0_1790,plain,
~ doDivides0(esk4_1(xp),sz10),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120]) ).
cnf(i_0_1792,plain,
sdtpldt0(esk4_1(xp),esk4_1(xp)) != sz10,
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116]) ).
cnf(i_0_1796,plain,
sz10 != sdtasdt0(esk4_1(xp),esk4_1(xp)),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117]) ).
cnf(i_0_1798,plain,
doDivides0(esk4_1(esk4_1(xp)),sdtpldt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92]) ).
cnf(i_0_1800,plain,
~ sdtlseqdt0(sdtasdt0(esk4_1(xp),esk4_1(xp)),sz10),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102]) ).
cnf(i_0_1802,plain,
~ doDivides0(esk4_1(xp),sdtasdt0(sz10,sz10)),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87]) ).
cnf(i_0_1806,plain,
sdtlseqdt0(sz10,sdtasdt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1708,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87,i_0_150,i_0_126]) ).
cnf(i_0_1812,plain,
sz10 != esk4_1(xp),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1708,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87,i_0_150,i_0_126,i_0_197,i_0_196,i_0_134]) ).
cnf(i_0_1814,plain,
sdtpldt0(esk4_1(xp),esk4_1(xp)) != sdtpldt0(sz10,esk4_1(xp)),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1708,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87,i_0_150,i_0_126,i_0_197,i_0_196,i_0_134,i_0_109]) ).
cnf(i_0_1816,plain,
aNaturalNumber0(sdtmndt0(xp,sdtpldt0(esk4_1(xp),sz00))),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1708,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87,i_0_150,i_0_126,i_0_197,i_0_196,i_0_134,i_0_109,i_0_114]) ).
cnf(i_0_1818,plain,
esk4_1(esk4_1(xp)) = esk4_1(xp),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1708,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_214,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87,i_0_150,i_0_126,i_0_197,i_0_196,i_0_134,i_0_109,i_0_114,i_0_121]) ).
cnf(i_0_1820,plain,
sdtasdt0(esk4_1(xp),esk4_1(xp)) != sdtasdt0(sz00,esk4_1(xp)),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1708,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_1570,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_159,i_0_214,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87,i_0_150,i_0_126,i_0_197,i_0_196,i_0_134,i_0_109,i_0_114,i_0_121,i_0_107]) ).
cnf(i_0_1822,plain,
sdtasdt0(esk4_1(xp),esk4_1(xp)) != sdtasdt0(esk4_1(xp),sz00),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1708,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_1570,i_0_590,i_0_345,i_0_164,i_0_1534,i_0_158,i_0_159,i_0_214,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87,i_0_150,i_0_126,i_0_197,i_0_196,i_0_134,i_0_109,i_0_114,i_0_121,i_0_107,i_0_108]) ).
cnf(i_0_1824,plain,
sdtasdt0(esk4_1(xp),sdtasdt0(esk4_1(xp),esk4_1(xp))) != sdtasdt0(xm,xm),
inference(scs_inference,[],[i_0_1673,i_0_1616,i_0_1564,i_0_1621,i_0_1651,i_0_1669,i_0_1649,i_0_1595,i_0_1617,i_0_1631,i_0_1633,i_0_1702,i_0_1708,i_0_1597,i_0_1661,i_0_1696,i_0_718,i_0_1689,i_0_743,i_0_499,i_0_270,i_0_603,i_0_1532,i_0_632,i_0_634,i_0_626,i_0_310,i_0_1570,i_0_590,i_0_345,i_0_162,i_0_164,i_0_1534,i_0_158,i_0_159,i_0_214,i_0_156,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_112,i_0_118,i_0_104,i_0_93,i_0_94,i_0_141,i_0_142,i_0_83,i_0_84,i_0_131,i_0_103,i_0_135,i_0_138,i_0_110,i_0_129,i_0_115,i_0_120,i_0_116,i_0_187,i_0_117,i_0_92,i_0_102,i_0_87,i_0_150,i_0_126,i_0_197,i_0_196,i_0_134,i_0_109,i_0_114,i_0_121,i_0_107,i_0_108,i_0_82]) ).
cnf(i_0_1828,plain,
sdtpldt0(sdtpldt0(esk4_1(xp),esk4_1(xp)),sz00) = sdtpldt0(esk4_1(xp),esk4_1(xp)),
inference(scs_inference,[],[i_0_1624,i_0_144]) ).
cnf(i_0_1830,plain,
sdtpldt0(esk4_1(xp),esk4_1(xp)) = sdtasdt0(sz10,sdtpldt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1624,i_0_144,i_0_145]) ).
cnf(i_0_1832,plain,
sdtpldt0(esk4_1(xp),esk4_1(xp)) = sdtpldt0(sz00,sdtpldt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1624,i_0_144,i_0_145,i_0_146]) ).
cnf(i_0_1834,plain,
sdtasdt0(sdtpldt0(esk4_1(xp),esk4_1(xp)),sz00) = sz00,
inference(scs_inference,[],[i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_1836,plain,
sz00 = sdtasdt0(sz00,sdtpldt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148]) ).
cnf(i_0_1838,plain,
sdtasdt0(sdtpldt0(esk4_1(xp),esk4_1(xp)),sz10) = sdtpldt0(esk4_1(xp),esk4_1(xp)),
inference(scs_inference,[],[i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143]) ).
cnf(i_0_1937,plain,
sdtpldt0(sdtsldt0(xp,esk4_1(xp)),sz00) = sdtsldt0(xp,esk4_1(xp)),
inference(scs_inference,[],[i_0_1708,i_0_144]) ).
cnf(i_0_1939,plain,
sdtsldt0(xp,esk4_1(xp)) = sdtasdt0(sz10,sdtsldt0(xp,esk4_1(xp))),
inference(scs_inference,[],[i_0_1708,i_0_144,i_0_145]) ).
cnf(i_0_1941,plain,
sdtsldt0(xp,esk4_1(xp)) = sdtpldt0(sz00,sdtsldt0(xp,esk4_1(xp))),
inference(scs_inference,[],[i_0_1708,i_0_144,i_0_145,i_0_146]) ).
cnf(i_0_1943,plain,
sdtasdt0(sdtsldt0(xp,esk4_1(xp)),sz00) = sz00,
inference(scs_inference,[],[i_0_1708,i_0_144,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_1945,plain,
sz00 = sdtasdt0(sz00,sdtsldt0(xp,esk4_1(xp))),
inference(scs_inference,[],[i_0_1708,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148]) ).
cnf(i_0_1947,plain,
sdtasdt0(sdtsldt0(xp,esk4_1(xp)),sz10) = sdtsldt0(xp,esk4_1(xp)),
inference(scs_inference,[],[i_0_1708,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143]) ).
cnf(i_0_2241,plain,
sdtsldt0(sdtasdt0(xp,xq),X1) = sdtsldt0(sdtasdt0(xp,sdtsldt0(xn,xp)),X1),
inference(rename_variables,[],[i_0_1611]) ).
cnf(i_0_1840,plain,
sdtasdt0(xq,X1) = sdtasdt0(sz00,X1),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168]) ).
cnf(i_0_1841,plain,
sdtasdt0(X1,xq) = sdtasdt0(X1,sz00),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169]) ).
cnf(i_0_1842,plain,
sdtpldt0(xq,X1) = sdtpldt0(sz00,X1),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170]) ).
cnf(i_0_1843,plain,
sdtpldt0(X1,xq) = sdtpldt0(X1,sz00),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171]) ).
cnf(i_0_1844,plain,
sdtsldt0(xq,X1) = sdtsldt0(sz00,X1),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172]) ).
cnf(i_0_1845,plain,
sdtsldt0(X1,xq) = sdtsldt0(X1,sz00),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173]) ).
cnf(i_0_1846,plain,
sdtmndt0(xq,X1) = sdtmndt0(sz00,X1),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174]) ).
cnf(i_0_1847,plain,
sdtmndt0(X1,xq) = sdtmndt0(X1,sz00),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175]) ).
cnf(i_0_1848,plain,
esk3_1(xq) = esk3_1(sz00),
inference(scs_inference,[],[i_0_1719,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176]) ).
cnf(i_0_1849,plain,
sdtasdt0(sz10,sz10) != sdtasdt0(xp,sz10),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166]) ).
cnf(i_0_1850,plain,
aNaturalNumber0(sdtasdt0(sdtpldt0(esk4_1(xp),esk4_1(xp)),sdtpldt0(esk4_1(xp),esk4_1(xp)))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122]) ).
cnf(i_0_1852,plain,
esk4_1(esk4_1(esk4_1(xp))) != sz10,
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1768,i_0_1770,i_0_1624,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149]) ).
cnf(i_0_1854,plain,
sdtlseqdt0(xn,sdtasdt0(xp,sdtsldt0(xn,xp))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1620,i_0_1768,i_0_1770,i_0_1624,i_0_255,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183]) ).
cnf(i_0_1855,plain,
sdtlseqdt0(sdtasdt0(xp,sdtsldt0(xn,xp)),xn),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1620,i_0_1768,i_0_1770,i_0_1624,i_0_255,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184]) ).
cnf(i_0_1856,plain,
esk4_1(esk4_1(esk4_1(xp))) != sz00,
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1620,i_0_1768,i_0_1770,i_0_1624,i_0_255,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150]) ).
cnf(i_0_1858,plain,
aNaturalNumber0(sdtpldt0(sdtpldt0(esk4_1(xp),esk4_1(xp)),sdtpldt0(esk4_1(xp),esk4_1(xp)))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1620,i_0_1768,i_0_1770,i_0_1624,i_0_255,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123]) ).
cnf(i_0_1860,plain,
sdtasdt0(sz10,esk4_1(xp)) != sdtpldt0(sdtmndt0(sz00,sz00),sdtmndt0(sz00,sdtmndt0(sz00,sz00))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1620,i_0_1752,i_0_1623,i_0_1768,i_0_1770,i_0_1624,i_0_255,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180]) ).
cnf(i_0_1861,plain,
iLess0(sdtpldt0(xm,sdtmndt0(xm,xm)),sdtpldt0(xn,sdtmndt0(xn,xn))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1620,i_0_1699,i_0_1752,i_0_1623,i_0_1768,i_0_1770,i_0_1624,i_0_255,i_0_501,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179]) ).
cnf(i_0_1862,plain,
doDivides0(esk4_1(esk4_1(xp)),sdtasdt0(sz10,sdtpldt0(esk4_1(xp),esk4_1(xp)))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1620,i_0_1699,i_0_1752,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1624,i_0_255,i_0_501,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182]) ).
cnf(i_0_1863,plain,
doDivides0(esk4_1(xp),sdtpldt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1699,i_0_1752,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1624,i_0_255,i_0_501,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181]) ).
cnf(i_0_1864,plain,
iLess0(sdtpldt0(xm,sdtmndt0(xm,xm)),sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,xq),xn))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1699,i_0_1752,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178]) ).
cnf(i_0_1865,plain,
xq = sdtasdt0(sz00,esk4_1(xp)),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1699,i_0_1752,i_0_1603,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167]) ).
cnf(i_0_1866,plain,
aNaturalNumber0(esk2_2(esk4_1(esk4_1(xp)),sdtpldt0(esk4_1(xp),esk4_1(xp)))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1699,i_0_1752,i_0_1603,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_1633,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111]) ).
cnf(i_0_1870,plain,
sdtmndt0(xn,xn) = sdtasdt0(xp,esk2_2(xp,sdtmndt0(xn,xn))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1603,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_1348,i_0_1633,i_0_389,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104]) ).
cnf(i_0_1878,plain,
isPrime0(esk4_1(sdtpldt0(esk4_1(xp),esk4_1(xp)))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_1633,i_0_345,i_0_389,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141]) ).
cnf(i_0_1880,plain,
aNaturalNumber0(esk4_1(sdtpldt0(esk4_1(xp),esk4_1(xp)))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_1633,i_0_345,i_0_389,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141,i_0_142]) ).
cnf(i_0_1882,plain,
sdtasdt0(sdtpldt0(xm,xm),xm) = sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm)),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_1633,i_0_345,i_0_389,i_0_156,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141,i_0_142,i_0_83]) ).
cnf(i_0_1884,plain,
sdtasdt0(xm,sdtpldt0(xm,xm)) = sdtpldt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm)),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_1633,i_0_345,i_0_389,i_0_156,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141,i_0_142,i_0_83,i_0_84]) ).
cnf(i_0_1886,plain,
sdtlseqdt0(sdtpldt0(esk4_1(xp),esk4_1(xp)),sdtpldt0(esk4_1(xp),esk4_1(xp))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_255,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_1633,i_0_345,i_0_389,i_0_156,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141,i_0_142,i_0_83,i_0_84,i_0_126]) ).
cnf(i_0_1890,plain,
sdtpldt0(sdtmndt0(sz00,sz00),esk1_2(sdtmndt0(sz00,sz00),sdtmndt0(sz00,sz00))) = sdtmndt0(sz00,sz00),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1293,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1624,i_0_643,i_0_255,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_1633,i_0_1570,i_0_345,i_0_566,i_0_389,i_0_1534,i_0_156,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141,i_0_142,i_0_83,i_0_84,i_0_126,i_0_131,i_0_103]) ).
cnf(i_0_1892,plain,
aNaturalNumber0(sdtmndt0(xq,sdtmndt0(sdtpldt0(sz00,sz00),sz00))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1293,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1044,i_0_1624,i_0_643,i_0_255,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_941,i_0_1633,i_0_1570,i_0_345,i_0_566,i_0_389,i_0_1534,i_0_159,i_0_156,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141,i_0_142,i_0_83,i_0_84,i_0_126,i_0_131,i_0_103,i_0_114]) ).
cnf(i_0_1894,plain,
sdtlseqdt0(esk4_1(esk4_1(esk4_1(xp))),esk4_1(esk4_1(xp))),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1293,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1780,i_0_1044,i_0_1624,i_0_643,i_0_255,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_941,i_0_1696,i_0_1633,i_0_1570,i_0_345,i_0_566,i_0_389,i_0_1534,i_0_159,i_0_156,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141,i_0_142,i_0_83,i_0_84,i_0_126,i_0_131,i_0_103,i_0_114,i_0_120]) ).
cnf(i_0_1896,plain,
iLess0(sz10,esk4_1(xp)),
inference(scs_inference,[],[i_0_1719,i_0_1679,i_0_1812,i_0_1619,i_0_1818,i_0_1620,i_0_1635,i_0_1699,i_0_1752,i_0_1792,i_0_1603,i_0_698,i_0_1798,i_0_1293,i_0_1623,i_0_1768,i_0_1770,i_0_1698,i_0_1780,i_0_1044,i_0_1624,i_0_643,i_0_255,i_0_1651,i_0_720,i_0_501,i_0_646,i_0_1348,i_0_941,i_0_1696,i_0_1633,i_0_1570,i_0_345,i_0_566,i_0_389,i_0_158,i_0_1534,i_0_159,i_0_156,i_0_155,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_143,i_0_168,i_0_169,i_0_170,i_0_171,i_0_172,i_0_173,i_0_174,i_0_175,i_0_176,i_0_166,i_0_122,i_0_149,i_0_183,i_0_184,i_0_150,i_0_123,i_0_180,i_0_179,i_0_182,i_0_181,i_0_178,i_0_167,i_0_111,i_0_118,i_0_104,i_0_93,i_0_94,i_0_112,i_0_141,i_0_142,i_0_83,i_0_84,i_0_126,i_0_131,i_0_103,i_0_114,i_0_120,i_0_119]) ).
cnf(c_0_1866,hypothesis,
xq = sdtsldt0(xn,xp),
i_0_153 ).
cnf(c_0_1867,plain,
xq = sz00,
i_0_1719 ).
cnf(c_0_1868,plain,
sdtlseqdt0(xn,sdtasdt0(xp,sdtsldt0(xn,xp))),
i_0_1854 ).
cnf(c_0_1869,hypothesis,
sdtsldt0(xn,xp) = sz00,
inference(rw,[status(thm)],[c_0_1866,c_0_1867]) ).
cnf(c_0_1870,plain,
sdtlseqdt0(sdtasdt0(xp,sdtsldt0(xn,xp)),xn),
i_0_1855 ).
cnf(c_0_1871,plain,
sdtlseqdt0(xn,sdtasdt0(xp,sz00)),
inference(rw,[status(thm)],[c_0_1868,c_0_1869]) ).
cnf(c_0_1872,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_147 ).
cnf(c_0_1873,hypothesis,
aNaturalNumber0(xp),
i_0_155 ).
cnf(c_0_1874,plain,
sdtlseqdt0(sdtasdt0(xp,sz00),xn),
inference(rw,[status(thm)],[c_0_1870,c_0_1869]) ).
cnf(c_0_1875,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
i_0_115 ).
cnf(c_0_1876,plain,
sdtlseqdt0(xn,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1871,c_0_1872]),c_0_1873])]) ).
cnf(c_0_1877,plain,
sdtlseqdt0(sz00,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1874,c_0_1872]),c_0_1873])]) ).
cnf(c_0_1878,hypothesis,
aNaturalNumber0(xn),
i_0_157 ).
cnf(c_0_1879,plain,
aNaturalNumber0(sz00),
i_0_159 ).
cnf(c_0_1880,hypothesis,
xn != sz00,
i_0_163 ).
cnf(c_0_1881,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1875,c_0_1876]),c_0_1877]),c_0_1878]),c_0_1879])]),c_0_1880]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.20 % Problem : NUM529+1 : TPTP v9.2.1. Released v4.0.0.
% 0.02/0.20 % 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
% 0.10/0.44 % Computer : n011.cluster.edu
% 0.10/0.44 % Model : x86_64 x86_64
% 0.10/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.44 % Memory : 8042.1875MB
% 0.10/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.44 % CPULimit : 300
% 0.10/0.44 % WCLimit : 300
% 0.10/0.44 % DateTime : Tue May 5 00:42:47 EDT 2026
% 0.14/0.45 % CPUTime :
% 0.14/0.46 % start to proof: theBenchmark
% 42.09/40.88 % Version : CSE_E---1.7
% 42.09/40.88 % Problem : theBenchmark.p
% 42.09/40.88 % SZS status Theorem for theBenchmark.p
% 42.09/40.88 % SZS output start CNFRefutation
% See solution above
% 49.68/48.46 % Total time : 40.418s
%------------------------------------------------------------------------------