%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG109+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 05:05:22 PM UTC 2026
% Result : Theorem 156.19s 113.79s
% Output : CNFRefutation 163.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_216)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X1 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefSSum,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtpldt1(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5,X6] :
( aElementOf0(X5,X1)
& aElementOf0(X6,X2)
& sdtpldt0(X5,X6) = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(mChineseRemainder,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(X3,sdtpldt1(X1,X2)) )
=> ! [X3,X4] :
( ( aElement0(X3)
& aElement0(X4) )
=> ? [X5] :
( aElement0(X5)
& sdteqdtlpzmzozddtrp0(X5,X3,X1)
& sdteqdtlpzmzozddtrp0(X5,X4,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mChineseRemainder) ).
fof(mDefSInt,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtasasdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSInt) ).
fof(mDefGCD,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ! [X3] :
( aGcdOfAnd0(X3,X1,X2)
<=> ( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X2)
& ! [X4] :
( ( aDivisorOf0(X4,X1)
& aDivisorOf0(X4,X2) )
=> doDivides0(X4,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefGCD) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(mDefMod,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aIdeal0(X3) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aElementOf0(sdtpldt0(X1,smndt0(X2)),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMod) ).
fof(mDefPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( X2 = slsdtgt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(mSetEq,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,X2) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSetEq) ).
fof(mDivision,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2)
& X2 != sz00 )
=> ? [X3,X4] :
( aElement0(X3)
& aElement0(X4)
& X1 = sdtpldt0(sdtasdt0(X3,X2),X4)
& ( X4 != sz00
=> iLess0(sbrdtbr0(X4),sbrdtbr0(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivision) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(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/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(mDefRel,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( misRelativelyPrime0(X1,X2)
<=> aGcdOfAnd0(sz10,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRel) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(mDefDvs,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aElement0(X2)
& doDivides0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDvs) ).
fof(mIdeInt,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> aIdeal0(sdtasasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeInt) ).
fof(mIdeSum,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> aIdeal0(sdtpldt1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeSum) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mCancel,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCancel) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mEucSort,axiom,
! [X1] :
( ( aElement0(X1)
& X1 != sz00 )
=> aNaturalNumber0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEucSort) ).
fof(mPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> aIdeal0(slsdtgt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrIdeal) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(m__2129,hypothesis,
aGcdOfAnd0(xc,xa,xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2129) ).
fof(m__2174,hypothesis,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(m__2203,hypothesis,
( aElementOf0(sz00,slsdtgt0(xa))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(m__2091,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(m__2110,hypothesis,
( xa != sz00
| xb != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2110) ).
fof(mUnNeZr,axiom,
sz10 != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(i_0_40,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X1 != sz00 ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_41,plain,
! [X123,X124,X125,X126,X129,X130,X131,X132,X134,X135] :
( ( aSet0(X125)
| X125 != sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) )
& ( aElementOf0(esk3_4(X123,X124,X125,X126),X123)
| ~ aElementOf0(X126,X125)
| X125 != sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) )
& ( aElementOf0(esk4_4(X123,X124,X125,X126),X124)
| ~ aElementOf0(X126,X125)
| X125 != sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) )
& ( sdtpldt0(esk3_4(X123,X124,X125,X126),esk4_4(X123,X124,X125,X126)) = X126
| ~ aElementOf0(X126,X125)
| X125 != sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) )
& ( ~ aElementOf0(X130,X123)
| ~ aElementOf0(X131,X124)
| sdtpldt0(X130,X131) != X129
| aElementOf0(X129,X125)
| X125 != sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) )
& ( ~ aElementOf0(esk5_3(X123,X124,X132),X132)
| ~ aElementOf0(X134,X123)
| ~ aElementOf0(X135,X124)
| sdtpldt0(X134,X135) != esk5_3(X123,X124,X132)
| ~ aSet0(X132)
| X132 = sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) )
& ( aElementOf0(esk6_3(X123,X124,X132),X123)
| aElementOf0(esk5_3(X123,X124,X132),X132)
| ~ aSet0(X132)
| X132 = sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) )
& ( aElementOf0(esk7_3(X123,X124,X132),X124)
| aElementOf0(esk5_3(X123,X124,X132),X132)
| ~ aSet0(X132)
| X132 = sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) )
& ( sdtpldt0(esk6_3(X123,X124,X132),esk7_3(X123,X124,X132)) = esk5_3(X123,X124,X132)
| aElementOf0(esk5_3(X123,X124,X132),X132)
| ~ aSet0(X132)
| X132 = sdtpldt1(X123,X124)
| ~ aSet0(X123)
| ~ aSet0(X124) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSSum])])])])])]) ).
fof(i_0_42,plain,
! [X160,X161,X163,X164] :
( ( aElement0(esk13_4(X160,X161,X163,X164))
| ~ aElement0(X163)
| ~ aElement0(X164)
| aElement0(esk12_2(X160,X161))
| ~ aIdeal0(X160)
| ~ aIdeal0(X161) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X160,X161,X163,X164),X163,X160)
| ~ aElement0(X163)
| ~ aElement0(X164)
| aElement0(esk12_2(X160,X161))
| ~ aIdeal0(X160)
| ~ aIdeal0(X161) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X160,X161,X163,X164),X164,X161)
| ~ aElement0(X163)
| ~ aElement0(X164)
| aElement0(esk12_2(X160,X161))
| ~ aIdeal0(X160)
| ~ aIdeal0(X161) )
& ( aElement0(esk13_4(X160,X161,X163,X164))
| ~ aElement0(X163)
| ~ aElement0(X164)
| ~ aElementOf0(esk12_2(X160,X161),sdtpldt1(X160,X161))
| ~ aIdeal0(X160)
| ~ aIdeal0(X161) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X160,X161,X163,X164),X163,X160)
| ~ aElement0(X163)
| ~ aElement0(X164)
| ~ aElementOf0(esk12_2(X160,X161),sdtpldt1(X160,X161))
| ~ aIdeal0(X160)
| ~ aIdeal0(X161) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X160,X161,X163,X164),X164,X161)
| ~ aElement0(X163)
| ~ aElement0(X164)
| ~ aElementOf0(esk12_2(X160,X161),sdtpldt1(X160,X161))
| ~ aIdeal0(X160)
| ~ aIdeal0(X161) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mChineseRemainder])])])])]) ).
fof(i_0_43,plain,
! [X138,X139,X140,X141,X142,X143] :
( ( aSet0(X140)
| X140 != sdtasasdt0(X138,X139)
| ~ aSet0(X138)
| ~ aSet0(X139) )
& ( aElementOf0(X141,X138)
| ~ aElementOf0(X141,X140)
| X140 != sdtasasdt0(X138,X139)
| ~ aSet0(X138)
| ~ aSet0(X139) )
& ( aElementOf0(X141,X139)
| ~ aElementOf0(X141,X140)
| X140 != sdtasasdt0(X138,X139)
| ~ aSet0(X138)
| ~ aSet0(X139) )
& ( ~ aElementOf0(X142,X138)
| ~ aElementOf0(X142,X139)
| aElementOf0(X142,X140)
| X140 != sdtasasdt0(X138,X139)
| ~ aSet0(X138)
| ~ aSet0(X139) )
& ( ~ aElementOf0(esk8_3(X138,X139,X143),X143)
| ~ aElementOf0(esk8_3(X138,X139,X143),X138)
| ~ aElementOf0(esk8_3(X138,X139,X143),X139)
| ~ aSet0(X143)
| X143 = sdtasasdt0(X138,X139)
| ~ aSet0(X138)
| ~ aSet0(X139) )
& ( aElementOf0(esk8_3(X138,X139,X143),X138)
| aElementOf0(esk8_3(X138,X139,X143),X143)
| ~ aSet0(X143)
| X143 = sdtasasdt0(X138,X139)
| ~ aSet0(X138)
| ~ aSet0(X139) )
& ( aElementOf0(esk8_3(X138,X139,X143),X139)
| aElementOf0(esk8_3(X138,X139,X143),X143)
| ~ aSet0(X143)
| X143 = sdtasasdt0(X138,X139)
| ~ aSet0(X138)
| ~ aSet0(X139) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSInt])])])])])]) ).
fof(i_0_44,plain,
! [X177,X178,X179,X180,X181] :
( ( aDivisorOf0(X179,X177)
| ~ aGcdOfAnd0(X179,X177,X178)
| ~ aElement0(X177)
| ~ aElement0(X178) )
& ( aDivisorOf0(X179,X178)
| ~ aGcdOfAnd0(X179,X177,X178)
| ~ aElement0(X177)
| ~ aElement0(X178) )
& ( ~ aDivisorOf0(X180,X177)
| ~ aDivisorOf0(X180,X178)
| doDivides0(X180,X179)
| ~ aGcdOfAnd0(X179,X177,X178)
| ~ aElement0(X177)
| ~ aElement0(X178) )
& ( aDivisorOf0(esk17_3(X177,X178,X181),X177)
| ~ aDivisorOf0(X181,X177)
| ~ aDivisorOf0(X181,X178)
| aGcdOfAnd0(X181,X177,X178)
| ~ aElement0(X177)
| ~ aElement0(X178) )
& ( aDivisorOf0(esk17_3(X177,X178,X181),X178)
| ~ aDivisorOf0(X181,X177)
| ~ aDivisorOf0(X181,X178)
| aGcdOfAnd0(X181,X177,X178)
| ~ aElement0(X177)
| ~ aElement0(X178) )
& ( ~ doDivides0(esk17_3(X177,X178,X181),X181)
| ~ aDivisorOf0(X181,X177)
| ~ aDivisorOf0(X181,X178)
| aGcdOfAnd0(X181,X177,X178)
| ~ aElement0(X177)
| ~ aElement0(X178) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefGCD])])])])])]) ).
fof(i_0_45,plain,
! [X145,X146,X147,X148,X149] :
( ( aSet0(X145)
| ~ aIdeal0(X145) )
& ( ~ aElementOf0(X147,X145)
| aElementOf0(sdtpldt0(X146,X147),X145)
| ~ aElementOf0(X146,X145)
| ~ aIdeal0(X145) )
& ( ~ aElement0(X148)
| aElementOf0(sdtasdt0(X148,X146),X145)
| ~ aElementOf0(X146,X145)
| ~ aIdeal0(X145) )
& ( aElementOf0(esk9_1(X149),X149)
| ~ aSet0(X149)
| aIdeal0(X149) )
& ( aElement0(esk11_1(X149))
| aElementOf0(esk10_1(X149),X149)
| ~ aSet0(X149)
| aIdeal0(X149) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X149),esk9_1(X149)),X149)
| aElementOf0(esk10_1(X149),X149)
| ~ aSet0(X149)
| aIdeal0(X149) )
& ( aElement0(esk11_1(X149))
| ~ aElementOf0(sdtpldt0(esk9_1(X149),esk10_1(X149)),X149)
| ~ aSet0(X149)
| aIdeal0(X149) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X149),esk9_1(X149)),X149)
| ~ aElementOf0(sdtpldt0(esk9_1(X149),esk10_1(X149)),X149)
| ~ aSet0(X149)
| aIdeal0(X149) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefIdeal])])])])])]) ).
fof(i_0_46,plain,
! [X157,X158,X159] :
( ( ~ sdteqdtlpzmzozddtrp0(X157,X158,X159)
| aElementOf0(sdtpldt0(X157,smndt0(X158)),X159)
| ~ aElement0(X157)
| ~ aElement0(X158)
| ~ aIdeal0(X159) )
& ( ~ aElementOf0(sdtpldt0(X157,smndt0(X158)),X159)
| sdteqdtlpzmzozddtrp0(X157,X158,X159)
| ~ aElement0(X157)
| ~ aElement0(X158)
| ~ aIdeal0(X159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMod])])]) ).
fof(i_0_47,plain,
! [X185,X186,X187,X189,X190,X191,X193] :
( ( aSet0(X186)
| X186 != slsdtgt0(X185)
| ~ aElement0(X185) )
& ( aElement0(esk18_3(X185,X186,X187))
| ~ aElementOf0(X187,X186)
| X186 != slsdtgt0(X185)
| ~ aElement0(X185) )
& ( sdtasdt0(X185,esk18_3(X185,X186,X187)) = X187
| ~ aElementOf0(X187,X186)
| X186 != slsdtgt0(X185)
| ~ aElement0(X185) )
& ( ~ aElement0(X190)
| sdtasdt0(X185,X190) != X189
| aElementOf0(X189,X186)
| X186 != slsdtgt0(X185)
| ~ aElement0(X185) )
& ( ~ aElementOf0(esk19_2(X185,X191),X191)
| ~ aElement0(X193)
| sdtasdt0(X185,X193) != esk19_2(X185,X191)
| ~ aSet0(X191)
| X191 = slsdtgt0(X185)
| ~ aElement0(X185) )
& ( aElement0(esk20_2(X185,X191))
| aElementOf0(esk19_2(X185,X191),X191)
| ~ aSet0(X191)
| X191 = slsdtgt0(X185)
| ~ aElement0(X185) )
& ( sdtasdt0(X185,esk20_2(X185,X191)) = esk19_2(X185,X191)
| aElementOf0(esk19_2(X185,X191),X191)
| ~ aSet0(X191)
| X191 = slsdtgt0(X185)
| ~ aElement0(X185) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrIdeal])])])])])]) ).
fof(i_0_48,plain,
! [X119,X120] :
( ( aElementOf0(esk2_2(X119,X120),X120)
| aElementOf0(esk1_2(X119,X120),X119)
| X119 = X120
| ~ aSet0(X119)
| ~ aSet0(X120) )
& ( ~ aElementOf0(esk2_2(X119,X120),X119)
| aElementOf0(esk1_2(X119,X120),X119)
| X119 = X120
| ~ aSet0(X119)
| ~ aSet0(X120) )
& ( aElementOf0(esk2_2(X119,X120),X120)
| ~ aElementOf0(esk1_2(X119,X120),X120)
| X119 = X120
| ~ aSet0(X119)
| ~ aSet0(X120) )
& ( ~ aElementOf0(esk2_2(X119,X120),X119)
| ~ aElementOf0(esk1_2(X119,X120),X120)
| X119 = X120
| ~ aSet0(X119)
| ~ aSet0(X120) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSetEq])])])]) ).
fof(i_0_49,plain,
! [X167,X168] :
( ( aElement0(esk14_2(X167,X168))
| ~ aElement0(X167)
| ~ aElement0(X168)
| X168 = sz00 )
& ( aElement0(esk15_2(X167,X168))
| ~ aElement0(X167)
| ~ aElement0(X168)
| X168 = sz00 )
& ( X167 = sdtpldt0(sdtasdt0(esk14_2(X167,X168),X168),esk15_2(X167,X168))
| ~ aElement0(X167)
| ~ aElement0(X168)
| X168 = sz00 )
& ( esk15_2(X167,X168) = sz00
| iLess0(sbrdtbr0(esk15_2(X167,X168)),sbrdtbr0(X168))
| ~ aElement0(X167)
| ~ aElement0(X168)
| X168 = sz00 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivision])])])]) ).
fof(i_0_50,plain,
! [X110,X111,X112] :
( ( sdtasdt0(X110,sdtpldt0(X111,X112)) = sdtpldt0(sdtasdt0(X110,X111),sdtasdt0(X110,X112))
| ~ aElement0(X110)
| ~ aElement0(X111)
| ~ aElement0(X112) )
& ( sdtasdt0(sdtpldt0(X111,X112),X110) = sdtpldt0(sdtasdt0(X111,X110),sdtasdt0(X112,X110))
| ~ aElement0(X110)
| ~ aElement0(X111)
| ~ aElement0(X112) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_51,plain,
! [X183,X184] :
( ( ~ misRelativelyPrime0(X183,X184)
| aGcdOfAnd0(sz10,X183,X184)
| ~ aElement0(X183)
| ~ aElement0(X184) )
& ( ~ aGcdOfAnd0(sz10,X183,X184)
| misRelativelyPrime0(X183,X184)
| ~ aElement0(X183)
| ~ aElement0(X184) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefRel])])]) ).
fof(i_0_52,plain,
! [X106,X107,X108] :
( ~ aElement0(X106)
| ~ aElement0(X107)
| ~ aElement0(X108)
| sdtasdt0(sdtasdt0(X106,X107),X108) = sdtasdt0(X106,sdtasdt0(X107,X108)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_53,plain,
! [X99,X100,X101] :
( ~ aElement0(X99)
| ~ aElement0(X100)
| ~ aElement0(X101)
| sdtpldt0(sdtpldt0(X99,X100),X101) = sdtpldt0(X99,sdtpldt0(X100,X101)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_54,negated_conjecture,
! [X196] :
( ~ aElementOf0(X196,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| X196 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])]) ).
fof(i_0_55,plain,
! [X171,X172,X174] :
( ( aElement0(esk16_2(X171,X172))
| ~ doDivides0(X171,X172)
| ~ aElement0(X171)
| ~ aElement0(X172) )
& ( sdtasdt0(X171,esk16_2(X171,X172)) = X172
| ~ doDivides0(X171,X172)
| ~ aElement0(X171)
| ~ aElement0(X172) )
& ( ~ aElement0(X174)
| sdtasdt0(X171,X174) != X172
| doDivides0(X171,X172)
| ~ aElement0(X171)
| ~ aElement0(X172) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
fof(i_0_56,plain,
! [X175,X176] :
( ( aElement0(X176)
| ~ aDivisorOf0(X176,X175)
| ~ aElement0(X175) )
& ( doDivides0(X176,X175)
| ~ aDivisorOf0(X176,X175)
| ~ aElement0(X175) )
& ( ~ aElement0(X176)
| ~ doDivides0(X176,X175)
| aDivisorOf0(X176,X175)
| ~ aElement0(X175) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDvs])])])]) ).
fof(i_0_57,plain,
! [X155,X156] :
( ~ aIdeal0(X155)
| ~ aIdeal0(X156)
| aIdeal0(sdtasasdt0(X155,X156)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeInt])]) ).
fof(i_0_58,plain,
! [X153,X154] :
( ~ aIdeal0(X153)
| ~ aIdeal0(X154)
| aIdeal0(sdtpldt1(X153,X154)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeSum])]) ).
fof(i_0_59,plain,
! [X95,X96] :
( ~ aElement0(X95)
| ~ aElement0(X96)
| aElement0(sdtasdt0(X95,X96)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_60,plain,
! [X93,X94] :
( ~ aElement0(X93)
| ~ aElement0(X94)
| aElement0(sdtpldt0(X93,X94)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_61,plain,
! [X104,X105] :
( ~ aElement0(X104)
| ~ aElement0(X105)
| sdtasdt0(X104,X105) = sdtasdt0(X105,X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_62,plain,
! [X97,X98] :
( ~ aElement0(X97)
| ~ aElement0(X98)
| sdtpldt0(X97,X98) = sdtpldt0(X98,X97) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_63,plain,
! [X115,X116] :
( ~ aElement0(X115)
| ~ aElement0(X116)
| sdtasdt0(X115,X116) != sz00
| X115 = sz00
| X116 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCancel])]) ).
fof(i_0_64,plain,
! [X117,X118] :
( ~ aSet0(X117)
| ~ aElementOf0(X118,X117)
| aElement0(X118) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_65,plain,
! [X113] :
( ( sdtasdt0(smndt0(sz10),X113) = smndt0(X113)
| ~ aElement0(X113) )
& ( smndt0(X113) = sdtasdt0(X113,smndt0(sz10))
| ~ aElement0(X113) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).
fof(i_0_66,plain,
! [X103] :
( ( sdtpldt0(X103,smndt0(X103)) = sz00
| ~ aElement0(X103) )
& ( sz00 = sdtpldt0(smndt0(X103),X103)
| ~ aElement0(X103) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).
fof(i_0_67,plain,
! [X109] :
( ( sdtasdt0(X109,sz10) = X109
| ~ aElement0(X109) )
& ( X109 = sdtasdt0(sz10,X109)
| ~ aElement0(X109) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).
fof(i_0_68,plain,
! [X102] :
( ( sdtpldt0(X102,sz00) = X102
| ~ aElement0(X102) )
& ( X102 = sdtpldt0(sz00,X102)
| ~ aElement0(X102) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(i_0_69,plain,
! [X114] :
( ( sdtasdt0(X114,sz00) = sz00
| ~ aElement0(X114) )
& ( sz00 = sdtasdt0(sz00,X114)
| ~ aElement0(X114) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(i_0_70,plain,
! [X166] :
( ~ aElement0(X166)
| X166 = sz00
| aNaturalNumber0(sbrdtbr0(X166)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEucSort])]) ).
fof(i_0_71,plain,
! [X195] :
( ~ aElement0(X195)
| aIdeal0(slsdtgt0(X195)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrIdeal])]) ).
fof(i_0_72,plain,
! [X92] :
( ~ aElement0(X92)
| aElement0(smndt0(X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
cnf(i_0_73,plain,
( sdtpldt0(esk3_4(X1,X2,X3,X4),esk4_4(X1,X2,X3,X4)) = X4
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_74,plain,
( sdteqdtlpzmzozddtrp0(esk13_4(X1,X2,X3,X4),X3,X1)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElementOf0(esk12_2(X1,X2),sdtpldt1(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_75,plain,
( sdteqdtlpzmzozddtrp0(esk13_4(X1,X2,X3,X4),X4,X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElementOf0(esk12_2(X1,X2),sdtpldt1(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_76,plain,
( aElement0(esk13_4(X1,X2,X3,X4))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElementOf0(esk12_2(X1,X2),sdtpldt1(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_77,plain,
( X3 = sdtasasdt0(X1,X2)
| ~ aElementOf0(esk8_3(X1,X2,X3),X3)
| ~ aElementOf0(esk8_3(X1,X2,X3),X1)
| ~ aElementOf0(esk8_3(X1,X2,X3),X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_78,plain,
( sdteqdtlpzmzozddtrp0(esk13_4(X1,X2,X3,X4),X3,X1)
| aElement0(esk12_2(X1,X2))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_79,plain,
( sdteqdtlpzmzozddtrp0(esk13_4(X1,X2,X3,X4),X4,X2)
| aElement0(esk12_2(X1,X2))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_80,plain,
( aElementOf0(esk4_4(X1,X2,X3,X4),X2)
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_81,plain,
( aElementOf0(esk3_4(X1,X2,X3,X4),X1)
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_82,plain,
( aElement0(esk13_4(X1,X2,X3,X4))
| aElement0(esk12_2(X1,X2))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_83,plain,
( sdtpldt0(esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) = esk5_3(X1,X2,X3)
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtpldt1(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_84,plain,
( X3 = sdtpldt1(X1,X2)
| ~ aElementOf0(esk5_3(X1,X2,X3),X3)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X2)
| sdtpldt0(X4,X5) != esk5_3(X1,X2,X3)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_85,plain,
( aGcdOfAnd0(X3,X1,X2)
| ~ doDivides0(esk17_3(X1,X2,X3),X3)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_86,plain,
( aElementOf0(esk8_3(X1,X2,X3),X1)
| aElementOf0(esk8_3(X1,X2,X3),X3)
| X3 = sdtasasdt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_87,plain,
( aElementOf0(esk8_3(X1,X2,X3),X2)
| aElementOf0(esk8_3(X1,X2,X3),X3)
| X3 = sdtasasdt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_88,plain,
( aElementOf0(esk7_3(X1,X2,X3),X2)
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtpldt1(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_89,plain,
( aElementOf0(esk6_3(X1,X2,X3),X1)
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtpldt1(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_90,plain,
( aDivisorOf0(esk17_3(X1,X2,X3),X1)
| aGcdOfAnd0(X3,X1,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_91,plain,
( aDivisorOf0(esk17_3(X1,X2,X3),X2)
| aGcdOfAnd0(X3,X1,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_92,plain,
( aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_93,plain,
( doDivides0(X1,X4)
| ~ aDivisorOf0(X1,X2)
| ~ aDivisorOf0(X1,X3)
| ~ aGcdOfAnd0(X4,X2,X3)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_94,plain,
( aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_95,plain,
( sdtasdt0(X1,esk18_3(X1,X2,X3)) = X3
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_96,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_97,plain,
( aElement0(esk18_3(X1,X2,X3))
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_98,plain,
( X1 = X2
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aElementOf0(esk1_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_99,plain,
( X1 = sdtpldt0(sdtasdt0(esk14_2(X1,X2),X2),esk15_2(X1,X2))
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_100,plain,
( X2 = slsdtgt0(X1)
| ~ aElementOf0(esk19_2(X1,X2),X2)
| ~ aElement0(X3)
| sdtasdt0(X1,X3) != esk19_2(X1,X2)
| ~ aSet0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_101,plain,
( aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_102,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_103,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_104,plain,
( aElement0(esk11_1(X1))
| aIdeal0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_105,plain,
( aElementOf0(X5,X6)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X4)
| sdtpldt0(X1,X3) != X5
| X6 != sdtpldt1(X2,X4)
| ~ aSet0(X2)
| ~ aSet0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_106,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| X1 = X2
| ~ aElementOf0(esk1_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_107,plain,
( aElementOf0(esk1_2(X1,X2),X1)
| X1 = X2
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_108,plain,
( aDivisorOf0(X1,X2)
| ~ aGcdOfAnd0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_109,plain,
( aDivisorOf0(X1,X2)
| ~ aGcdOfAnd0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_110,plain,
( sdtasdt0(X1,esk20_2(X1,X2)) = esk19_2(X1,X2)
| aElementOf0(esk19_2(X1,X2),X2)
| X2 = slsdtgt0(X1)
| ~ aSet0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_111,plain,
( misRelativelyPrime0(X1,X2)
| ~ aGcdOfAnd0(sz10,X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_112,plain,
( esk15_2(X1,X2) = sz00
| iLess0(sbrdtbr0(esk15_2(X1,X2)),sbrdtbr0(X2))
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_113,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_114,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_115,plain,
( aElementOf0(X1,X4)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X4 != sdtasasdt0(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_116,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aElementOf0(esk1_2(X1,X2),X1)
| X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_117,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_118,plain,
( aElement0(esk20_2(X1,X2))
| aElementOf0(esk19_2(X1,X2),X2)
| X2 = slsdtgt0(X1)
| ~ aSet0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_119,plain,
( aGcdOfAnd0(sz10,X1,X2)
| ~ misRelativelyPrime0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_120,negated_conjecture,
( X1 = sz00
| ~ aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_121,plain,
( sdtasdt0(X1,esk16_2(X1,X2)) = X2
| ~ doDivides0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_122,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_123,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X2,X4)
| ~ aSet0(X2)
| ~ aSet0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_124,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X4,X2)
| ~ aSet0(X4)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_125,plain,
( aElement0(esk16_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_126,plain,
( aElementOf0(X3,X4)
| ~ aElement0(X1)
| sdtasdt0(X2,X1) != X3
| X4 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_127,plain,
( doDivides0(X2,X3)
| ~ aElement0(X1)
| sdtasdt0(X2,X1) != X3
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_128,plain,
( aDivisorOf0(X1,X2)
| ~ aElement0(X1)
| ~ doDivides0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_129,hypothesis,
aGcdOfAnd0(xc,xa,xb),
inference(split_conjunct,[status(thm)],[m__2129]),
[final] ).
cnf(i_0_130,plain,
( aElement0(esk15_2(X1,X2))
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_131,plain,
( aElement0(esk14_2(X1,X2))
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_132,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_133,plain,
( aIdeal0(sdtpldt1(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_134,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_135,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_136,plain,
( doDivides0(X1,X2)
| ~ aDivisorOf0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_137,plain,
( aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_138,plain,
( aSet0(X1)
| X1 != sdtasasdt0(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_139,plain,
( aSet0(X1)
| X1 != sdtpldt1(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_140,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_141,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_142,plain,
( X1 = sz00
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_143,plain,
( aElement0(X1)
| ~ aDivisorOf0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_144,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_145,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_146,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_147,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_148,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_149,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_150,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_151,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_152,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_153,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_154,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[m__2174]),
[final] ).
cnf(i_0_155,plain,
( aSet0(X1)
| X1 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_156,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_157,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_158,plain,
( X1 = sz00
| aNaturalNumber0(sbrdtbr0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_159,plain,
( aIdeal0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_160,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_161,hypothesis,
aElementOf0(xb,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[m__2203]),
[final] ).
cnf(i_0_162,hypothesis,
aElementOf0(xa,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[m__2203]),
[final] ).
cnf(i_0_163,hypothesis,
aElementOf0(sz00,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[m__2203]),
[final] ).
cnf(i_0_164,hypothesis,
aElementOf0(sz00,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[m__2203]),
[final] ).
cnf(i_0_165,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_166,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[m__2174]),
[final] ).
cnf(i_0_167,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__2091]),
[final] ).
cnf(i_0_168,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__2091]),
[final] ).
cnf(i_0_169,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_170,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_171,hypothesis,
( xa != sz00
| xb != sz00 ),
inference(split_conjunct,[status(thm)],[m__2110]),
[final] ).
cnf(i_0_172,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mUnNeZr]),
[final] ).
cnf(i_0_173,axiom,
X1 = X1 ).
cnf(i_0_174,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_175,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_176,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| slsdtgt0(X1) = slsdtgt0(X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| esk15_2(X1,X3) = esk15_2(X2,X3) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| esk15_2(X3,X1) = esk15_2(X3,X2) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| sdtpldt1(X1,X3) = sdtpldt1(X2,X3) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| sdtpldt1(X3,X1) = sdtpldt1(X3,X2) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| sdtasasdt0(X1,X3) = sdtasasdt0(X2,X3) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| sdtasasdt0(X3,X1) = sdtasasdt0(X3,X2) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X4)
| sdteqdtlpzmzozddtrp0(X2,X3,X4) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X1,X4)
| sdteqdtlpzmzozddtrp0(X3,X2,X4) ) ).
cnf(i_0_201,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X4,X1)
| sdteqdtlpzmzozddtrp0(X3,X4,X2) ) ).
cnf(i_0_202,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_203,axiom,
( X1 != X2
| ~ aIdeal0(X1)
| aIdeal0(X2) ) ).
cnf(i_0_204,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X1,X3,X4)
| aGcdOfAnd0(X2,X3,X4) ) ).
cnf(i_0_205,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X3,X1,X4)
| aGcdOfAnd0(X3,X2,X4) ) ).
cnf(i_0_206,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X3,X4,X1)
| aGcdOfAnd0(X3,X4,X2) ) ).
cnf(i_0_207,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_208,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_209,axiom,
( X1 != X2
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X2,X3) ) ).
cnf(i_0_210,axiom,
( X1 != X2
| ~ aDivisorOf0(X3,X1)
| aDivisorOf0(X3,X2) ) ).
cnf(i_0_211,axiom,
( X1 != X2
| ~ misRelativelyPrime0(X1,X3)
| misRelativelyPrime0(X2,X3) ) ).
cnf(i_0_212,axiom,
( X1 != X2
| ~ misRelativelyPrime0(X3,X1)
| misRelativelyPrime0(X3,X2) ) ).
cnf(i_0_225,plain,
sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
inference(scs_inference,[],[i_0_154,i_0_174]) ).
cnf(i_0_226,plain,
aSet0(xI),
inference(scs_inference,[],[i_0_166,i_0_154,i_0_174,i_0_165]) ).
cnf(i_0_228,plain,
aSet0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(scs_inference,[],[i_0_166,i_0_154,i_0_174,i_0_165,i_0_198]) ).
cnf(i_0_229,plain,
aIdeal0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(scs_inference,[],[i_0_166,i_0_154,i_0_174,i_0_165,i_0_198,i_0_203]) ).
cnf(i_0_230,plain,
sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)) = xb,
inference(scs_inference,[],[i_0_166,i_0_167,i_0_161,i_0_154,i_0_174,i_0_165,i_0_198,i_0_203,i_0_216]) ).
cnf(i_0_232,plain,
aElement0(esk18_3(xb,slsdtgt0(xb),xb)),
inference(scs_inference,[],[i_0_166,i_0_167,i_0_161,i_0_154,i_0_174,i_0_165,i_0_198,i_0_203,i_0_216,i_0_217]) ).
cnf(i_0_234,plain,
doDivides0(xb,xb),
inference(scs_inference,[],[i_0_166,i_0_167,i_0_161,i_0_154,i_0_174,i_0_165,i_0_198,i_0_203,i_0_216,i_0_217,i_0_127]) ).
cnf(i_0_237,plain,
aDivisorOf0(xb,xb),
inference(scs_inference,[],[i_0_166,i_0_167,i_0_161,i_0_154,i_0_174,i_0_165,i_0_198,i_0_203,i_0_216,i_0_217,i_0_127,i_0_175,i_0_128]) ).
cnf(i_0_2270,plain,
sdtpldt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = sdtpldt0(xI,X1),
inference(scs_inference,[],[i_0_225,i_0_176]) ).
cnf(i_0_2271,plain,
sdtpldt0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = sdtpldt0(X1,xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177]) ).
cnf(i_0_2272,plain,
esk5_3(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1,X2) = esk5_3(xI,X1,X2),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178]) ).
cnf(i_0_2273,plain,
esk5_3(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X2) = esk5_3(X1,xI,X2),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179]) ).
cnf(i_0_2274,plain,
esk5_3(X1,X2,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = esk5_3(X1,X2,xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180]) ).
cnf(i_0_2275,plain,
sdtasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = sdtasdt0(xI,X1),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181]) ).
cnf(i_0_2276,plain,
sdtasdt0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = sdtasdt0(X1,xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182]) ).
cnf(i_0_2277,plain,
smndt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = smndt0(xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183]) ).
cnf(i_0_2278,plain,
slsdtgt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = slsdtgt0(xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184]) ).
cnf(i_0_2279,plain,
esk15_2(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = esk15_2(xI,X1),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185]) ).
cnf(i_0_2280,plain,
esk15_2(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = esk15_2(X1,xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186]) ).
cnf(i_0_2281,plain,
esk19_2(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = esk19_2(xI,X1),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187]) ).
cnf(i_0_2282,plain,
esk19_2(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = esk19_2(X1,xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188]) ).
cnf(i_0_2283,plain,
sdtpldt1(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = sdtpldt1(xI,X1),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189]) ).
cnf(i_0_2284,plain,
sdtpldt1(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = sdtpldt1(X1,xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190]) ).
cnf(i_0_2285,plain,
sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = sdtasasdt0(xI,X1),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191]) ).
cnf(i_0_2286,plain,
sdtasasdt0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = sdtasasdt0(X1,xI),
inference(scs_inference,[],[i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192]) ).
cnf(i_0_248,plain,
sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)) = xb,
inference(equality_inference,[],[236]) ).
cnf(i_0_249,plain,
xb = sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),
inference(scs_inference,[],[i_0_230,i_0_174]) ).
cnf(i_0_250,plain,
aElement0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_167,i_0_230,i_0_174,i_0_202]) ).
cnf(i_0_251,plain,
sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)) = sz00,
inference(scs_inference,[],[i_0_167,i_0_163,i_0_230,i_0_174,i_0_202,i_0_216]) ).
cnf(i_0_253,plain,
aElement0(esk18_3(xb,slsdtgt0(xb),sz00)),
inference(scs_inference,[],[i_0_167,i_0_163,i_0_230,i_0_174,i_0_202,i_0_216,i_0_217]) ).
cnf(i_0_255,plain,
sz10 != sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)),
inference(scs_inference,[],[i_0_172,i_0_167,i_0_163,i_0_230,i_0_174,i_0_202,i_0_216,i_0_217,i_0_175]) ).
cnf(i_0_256,plain,
doDivides0(xb,sz00),
inference(scs_inference,[],[i_0_172,i_0_167,i_0_170,i_0_163,i_0_230,i_0_174,i_0_202,i_0_216,i_0_217,i_0_175,i_0_127]) ).
cnf(i_0_2475,plain,
sdtasasdt0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = sdtasasdt0(X1,xI),
inference(rename_variables,[],[i_0_2286]) ).
cnf(i_0_2478,plain,
sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = sdtasasdt0(xI,X1),
inference(rename_variables,[],[i_0_2285]) ).
cnf(i_0_2576,plain,
sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = sdtasasdt0(xI,X1),
inference(rename_variables,[],[i_0_2285]) ).
cnf(i_0_2660,plain,
sdtasasdt0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = sdtasasdt0(X1,xI),
inference(rename_variables,[],[i_0_2286]) ).
cnf(i_0_2960,plain,
sdtasasdt0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = sdtasasdt0(X1,xI),
inference(rename_variables,[],[i_0_2286]) ).
cnf(i_0_3162,plain,
sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = sdtasasdt0(xI,X1),
inference(rename_variables,[],[i_0_2285]) ).
cnf(i_0_3246,plain,
sdtasasdt0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) = sdtasasdt0(X1,xI),
inference(rename_variables,[],[i_0_2286]) ).
cnf(i_0_3325,plain,
sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),X1) = sdtasasdt0(xI,X1),
inference(rename_variables,[],[i_0_2285]) ).
cnf(i_0_263,plain,
sz00 = sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)),
inference(scs_inference,[],[i_0_251,i_0_174]) ).
cnf(i_0_264,plain,
sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),sz00)) = sz00,
inference(scs_inference,[],[i_0_164,i_0_168,i_0_251,i_0_174,i_0_216]) ).
cnf(i_0_266,plain,
aElement0(esk18_3(xa,slsdtgt0(xa),sz00)),
inference(scs_inference,[],[i_0_164,i_0_168,i_0_251,i_0_174,i_0_216,i_0_217]) ).
cnf(i_0_268,plain,
aElement0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00))),
inference(scs_inference,[],[i_0_164,i_0_168,i_0_170,i_0_251,i_0_174,i_0_216,i_0_217,i_0_202]) ).
cnf(i_0_269,plain,
sz10 != sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),sz00)),
inference(scs_inference,[],[i_0_172,i_0_164,i_0_168,i_0_170,i_0_251,i_0_174,i_0_216,i_0_217,i_0_202,i_0_175]) ).
cnf(i_0_270,plain,
doDivides0(xa,sz00),
inference(scs_inference,[],[i_0_172,i_0_164,i_0_168,i_0_170,i_0_251,i_0_174,i_0_216,i_0_217,i_0_202,i_0_175,i_0_127]) ).
cnf(i_0_274,plain,
aDivisorOf0(xa,sz00),
inference(scs_inference,[],[i_0_250,i_0_172,i_0_164,i_0_168,i_0_170,i_0_251,i_0_174,i_0_216,i_0_217,i_0_202,i_0_175,i_0_127,i_0_143,i_0_128]) ).
cnf(i_0_300,plain,
aDivisorOf0(xb,sz00),
inference(scs_inference,[],[i_0_256,i_0_167,i_0_170,i_0_128]) ).
cnf(i_0_321,plain,
aElement0(esk18_3(xb,slsdtgt0(xb),xb)),
inference(equality_inference,[],[318]) ).
cnf(i_0_279,plain,
sz00 = sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),sz00)),
inference(scs_inference,[],[i_0_264,i_0_174]) ).
cnf(i_0_280,plain,
sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),xa)) = xa,
inference(scs_inference,[],[i_0_162,i_0_168,i_0_264,i_0_174,i_0_216]) ).
cnf(i_0_282,plain,
aElement0(esk18_3(xa,slsdtgt0(xa),xa)),
inference(scs_inference,[],[i_0_162,i_0_168,i_0_264,i_0_174,i_0_216,i_0_217]) ).
cnf(i_0_284,plain,
doDivides0(xa,xa),
inference(scs_inference,[],[i_0_162,i_0_168,i_0_264,i_0_174,i_0_216,i_0_217,i_0_127]) ).
cnf(i_0_341,plain,
aElement0(esk18_3(xb,slsdtgt0(xb),sz00)),
inference(equality_inference,[],[337]) ).
cnf(i_0_291,plain,
xa = sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),xa)),
inference(scs_inference,[],[i_0_280,i_0_174]) ).
cnf(i_0_292,plain,
aElement0(sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),xa))),
inference(scs_inference,[],[i_0_168,i_0_280,i_0_174,i_0_202]) ).
cnf(i_0_351,plain,
aElement0(esk18_3(xa,slsdtgt0(xa),sz00)),
inference(equality_inference,[],[347]) ).
cnf(i_0_2287,plain,
aIdeal0(slsdtgt0(esk18_3(xa,slsdtgt0(xa),xa))),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159]) ).
cnf(i_0_2289,plain,
aElement0(smndt0(esk18_3(xa,slsdtgt0(xa),xa))),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160]) ).
cnf(i_0_2291,plain,
aSet0(slsdtgt0(esk18_3(xa,slsdtgt0(xa),xa))),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224]) ).
cnf(i_0_2293,plain,
sdtasdt0(esk18_3(xa,slsdtgt0(xa),xa),sz10) = esk18_3(xa,slsdtgt0(xa),xa),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150]) ).
cnf(i_0_2295,plain,
sdtpldt0(esk18_3(xa,slsdtgt0(xa),xa),sz00) = esk18_3(xa,slsdtgt0(xa),xa),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151]) ).
cnf(i_0_2297,plain,
esk18_3(xa,slsdtgt0(xa),xa) = sdtasdt0(sz10,esk18_3(xa,slsdtgt0(xa),xa)),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152]) ).
cnf(i_0_2299,plain,
esk18_3(xa,slsdtgt0(xa),xa) = sdtpldt0(sz00,esk18_3(xa,slsdtgt0(xa),xa)),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_2301,plain,
sdtasdt0(esk18_3(xa,slsdtgt0(xa),xa),sz00) = sz00,
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156]) ).
cnf(i_0_2303,plain,
sz00 = sdtasdt0(sz00,esk18_3(xa,slsdtgt0(xa),xa)),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157]) ).
cnf(i_0_2305,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(scs_inference,[],[i_0_282,i_0_225,i_0_169,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148]) ).
cnf(i_0_2307,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_169,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149]) ).
cnf(i_0_2309,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_169,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146]) ).
cnf(i_0_2311,plain,
smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)),
inference(scs_inference,[],[i_0_282,i_0_225,i_0_169,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147]) ).
cnf(i_0_2313,plain,
~ aElementOf0(sz10,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(scs_inference,[],[i_0_172,i_0_282,i_0_225,i_0_169,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120]) ).
cnf(i_0_2315,plain,
sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),sz00)) != sz10,
inference(scs_inference,[],[i_0_269,i_0_172,i_0_282,i_0_225,i_0_169,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174]) ).
cnf(i_0_2316,plain,
aElementOf0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),slsdtgt0(xb)),
inference(scs_inference,[],[i_0_269,i_0_249,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193]) ).
cnf(i_0_2317,plain,
~ aElementOf0(sz10,xI),
inference(scs_inference,[],[i_0_269,i_0_249,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194]) ).
cnf(i_0_346,plain,
aElement0(esk18_3(xa,slsdtgt0(xa),xa)),
inference(equality_inference,[],[342]) ).
cnf(i_0_2318,plain,
aGcdOfAnd0(xc,sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),xa)),xb),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_249,i_0_291,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205]) ).
cnf(i_0_2319,plain,
aGcdOfAnd0(xc,xa,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_249,i_0_291,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206]) ).
cnf(i_0_2320,plain,
aDivisorOf0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),sz00),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209]) ).
cnf(i_0_2321,plain,
aDivisorOf0(xb,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210]) ).
cnf(i_0_2322,plain,
aIdeal0(sdtasasdt0(xI,xI)),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_166,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132]) ).
cnf(i_0_2324,plain,
aIdeal0(sdtpldt1(xI,xI)),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_166,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133]) ).
cnf(i_0_2326,plain,
aElement0(sdtasdt0(esk18_3(xa,slsdtgt0(xa),xa),esk18_3(xa,slsdtgt0(xa),xa))),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_166,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134]) ).
cnf(i_0_2328,plain,
aElement0(sdtpldt0(esk18_3(xa,slsdtgt0(xa),xa),esk18_3(xa,slsdtgt0(xa),xa))),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_166,i_0_172,i_0_282,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135]) ).
cnf(i_0_2330,plain,
aSet0(sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_166,i_0_172,i_0_282,i_0_228,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222]) ).
cnf(i_0_2332,plain,
aSet0(sdtpldt1(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_166,i_0_172,i_0_282,i_0_228,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223]) ).
cnf(i_0_2334,plain,
aNaturalNumber0(sbrdtbr0(sz10)),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_166,i_0_172,i_0_282,i_0_228,i_0_161,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158]) ).
cnf(i_0_2336,plain,
doDivides0(xb,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_166,i_0_172,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136]) ).
cnf(i_0_2338,plain,
doDivides0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),xb),
inference(scs_inference,[],[i_0_129,i_0_269,i_0_300,i_0_249,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207]) ).
cnf(i_0_2339,plain,
doDivides0(xa,sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),sz00))),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208]) ).
cnf(i_0_2340,plain,
sz00 != sz10,
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_154,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175]) ).
cnf(i_0_2341,plain,
aElement0(esk16_2(xa,sz00)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125]) ).
cnf(i_0_2343,plain,
aSet0(sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),xI)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138]) ).
cnf(i_0_2347,plain,
~ aElementOf0(sz10,sdtasasdt0(xI,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220]) ).
cnf(i_0_2349,plain,
sdtasdt0(xa,esk16_2(xa,sz00)) = sz00,
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121]) ).
cnf(i_0_2351,plain,
sdtasdt0(sdtasdt0(sz10,sz10),sz10) = sdtasdt0(sz10,sdtasdt0(sz10,sz10)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113]) ).
cnf(i_0_2353,plain,
sdtpldt0(sdtpldt0(sz10,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,sz10)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114]) ).
cnf(i_0_2355,plain,
sdtasdt0(sdtpldt0(sz10,sz10),sz10) = sdtpldt0(sdtasdt0(sz10,sz10),sdtasdt0(sz10,sz10)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102]) ).
cnf(i_0_2357,plain,
sdtasdt0(sz10,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(sz10,sz10),sdtasdt0(sz10,sz10)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103]) ).
cnf(i_0_2359,plain,
aDivisorOf0(xc,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109]) ).
cnf(i_0_2361,plain,
aDivisorOf0(xa,xa),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128]) ).
cnf(i_0_2363,plain,
aSet0(sdtpldt1(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),xI)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139]) ).
cnf(i_0_2365,plain,
aDivisorOf0(xc,xa),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108]) ).
cnf(i_0_2367,plain,
~ aElementOf0(sz10,sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),xI)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123]) ).
cnf(i_0_2369,plain,
sdtasdt0(sz10,sz10) != sz00,
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123,i_0_142]) ).
cnf(i_0_2372,plain,
aElement0(xc),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123,i_0_142,i_0_197,i_0_143]) ).
cnf(i_0_2374,plain,
aSet0(sdtpldt1(xI,xI)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123,i_0_142,i_0_197,i_0_143,i_0_198]) ).
cnf(i_0_2375,plain,
aElement0(sdtasdt0(xa,esk18_3(xa,slsdtgt0(xa),sz00))),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123,i_0_142,i_0_197,i_0_143,i_0_198,i_0_202]) ).
cnf(i_0_2376,plain,
aElement0(esk15_2(sz10,sz10)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123,i_0_142,i_0_197,i_0_143,i_0_198,i_0_202,i_0_130]) ).
cnf(i_0_2378,plain,
aElement0(esk14_2(sz10,sz10)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123,i_0_142,i_0_197,i_0_143,i_0_198,i_0_202,i_0_130,i_0_131]) ).
cnf(i_0_2380,plain,
sz10 = sdtpldt0(sdtasdt0(esk14_2(sz10,sz10),sz10),esk15_2(sz10,sz10)),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_250,i_0_225,i_0_169,i_0_226,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123,i_0_142,i_0_197,i_0_143,i_0_198,i_0_202,i_0_130,i_0_131,i_0_99]) ).
cnf(i_0_2382,plain,
doDivides0(xb,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00))),
inference(scs_inference,[],[i_0_129,i_0_270,i_0_284,i_0_269,i_0_300,i_0_249,i_0_279,i_0_291,i_0_237,i_0_234,i_0_166,i_0_172,i_0_264,i_0_282,i_0_228,i_0_161,i_0_268,i_0_250,i_0_225,i_0_169,i_0_226,i_0_253,i_0_167,i_0_154,i_0_168,i_0_170,i_0_176,i_0_177,i_0_178,i_0_179,i_0_180,i_0_181,i_0_182,i_0_183,i_0_184,i_0_185,i_0_186,i_0_187,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_174,i_0_193,i_0_194,i_0_205,i_0_206,i_0_209,i_0_210,i_0_132,i_0_133,i_0_134,i_0_135,i_0_222,i_0_223,i_0_158,i_0_136,i_0_207,i_0_208,i_0_175,i_0_125,i_0_138,i_0_219,i_0_220,i_0_121,i_0_113,i_0_114,i_0_102,i_0_103,i_0_109,i_0_128,i_0_139,i_0_108,i_0_123,i_0_142,i_0_197,i_0_143,i_0_198,i_0_202,i_0_130,i_0_131,i_0_99,i_0_221]) ).
cnf(i_0_313,plain,
aElement0(sz10),
inference(equality_inference,[],[308]) ).
cnf(i_0_2387,plain,
aIdeal0(slsdtgt0(xc)),
inference(scs_inference,[],[i_0_2372,i_0_159]) ).
cnf(i_0_2389,plain,
aElement0(smndt0(xc)),
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160]) ).
cnf(i_0_2391,plain,
aSet0(slsdtgt0(xc)),
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224]) ).
cnf(i_0_2393,plain,
sdtasdt0(xc,sz10) = xc,
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150]) ).
cnf(i_0_2395,plain,
sdtpldt0(xc,sz00) = xc,
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151]) ).
cnf(i_0_2397,plain,
xc = sdtasdt0(sz10,xc),
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152]) ).
cnf(i_0_2399,plain,
xc = sdtpldt0(sz00,xc),
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_2401,plain,
sdtasdt0(xc,sz00) = sz00,
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156]) ).
cnf(i_0_2403,plain,
sz00 = sdtasdt0(sz00,xc),
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157]) ).
cnf(i_0_2405,plain,
sdtpldt0(xc,smndt0(xc)) = sz00,
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148]) ).
cnf(i_0_2407,plain,
sz00 = sdtpldt0(smndt0(xc),xc),
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149]) ).
cnf(i_0_2409,plain,
sdtasdt0(smndt0(sz10),xc) = smndt0(xc),
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146]) ).
cnf(i_0_2411,plain,
smndt0(xc) = sdtasdt0(xc,smndt0(sz10)),
inference(scs_inference,[],[i_0_2372,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147]) ).
cnf(i_0_2413,plain,
~ aElementOf0(sdtasdt0(sz10,sz10),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(scs_inference,[],[i_0_2372,i_0_2369,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120]) ).
cnf(i_0_2415,plain,
sdtpldt0(sdtasdt0(smndt0(sz10),sz10),X1) = sdtpldt0(smndt0(sz10),X1),
inference(scs_inference,[],[i_0_2372,i_0_2369,i_0_2309,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_176]) ).
cnf(i_0_2416,plain,
sdtpldt0(X1,sdtasdt0(smndt0(sz10),sz10)) = sdtpldt0(X1,smndt0(sz10)),
inference(scs_inference,[],[i_0_2372,i_0_2369,i_0_2309,i_0_159,i_0_160,i_0_224,i_0_150,i_0_151,i_0_152,i_0_153,i_0_156,i_0_157,i_0_148,i_0_149,i_0_146,i_0_147,i_0_120,i_0_176,i_0_177]) ).
cnf(c_0_2427,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_144 ).
cnf(c_0_2428,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3) ),
i_0_122 ).
cnf(c_0_2429,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
i_0_165 ).
cnf(c_0_2430,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aIdeal0(X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2427,c_0_2428]),c_0_2429]) ).
cnf(c_0_2431,hypothesis,
aElementOf0(xb,slsdtgt0(xb)),
i_0_161 ).
cnf(c_0_2432,hypothesis,
( aElement0(sdtasdt0(X1,xb))
| ~ aIdeal0(slsdtgt0(xb))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_2430,c_0_2431]) ).
cnf(c_0_2433,plain,
( aIdeal0(slsdtgt0(X1))
| ~ aElement0(X1) ),
i_0_159 ).
cnf(c_0_2434,hypothesis,
aElement0(xb),
i_0_167 ).
cnf(c_0_2435,plain,
( aElement0(sdtasdt0(X1,xb))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2432,c_0_2433]),c_0_2434])]) ).
cnf(c_0_2436,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_140 ).
cnf(c_0_2437,plain,
( sdtasdt0(X1,esk18_3(X1,X2,X3)) = X3
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
i_0_95 ).
cnf(c_0_2438,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X5,X6)
| sdtpldt0(X3,X5) != X1
| X2 != sdtpldt1(X4,X6)
| ~ aSet0(X4)
| ~ aSet0(X6) ),
i_0_105 ).
cnf(c_0_2439,plain,
( aElement0(sdtasdt0(xb,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2435,c_0_2436]),c_0_2434])]) ).
cnf(c_0_2440,plain,
( sdtasdt0(X1,esk18_3(X1,slsdtgt0(X1),X2)) = X2
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(X1)) ),
inference(er,[status(thm)],[c_0_2437]) ).
cnf(c_0_2441,plain,
( aElement0(esk18_3(X1,X2,X3))
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
i_0_97 ).
cnf(c_0_2442,plain,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElementOf0(X2,X4)
| ~ aElementOf0(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_2438])]) ).
cnf(c_0_2443,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
i_0_154 ).
cnf(c_0_2444,plain,
( aElement0(X1)
| ~ aElement0(esk18_3(xb,slsdtgt0(xb),X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2439,c_0_2440]),c_0_2434])]) ).
cnf(c_0_2445,plain,
( aElement0(esk18_3(X1,slsdtgt0(X1),X2))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(X1)) ),
inference(er,[status(thm)],[c_0_2441]) ).
cnf(c_0_2446,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xI)
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[c_0_2442,c_0_2443]) ).
cnf(c_0_2447,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
i_0_153 ).
cnf(c_0_2448,hypothesis,
aElementOf0(sz00,slsdtgt0(xa)),
i_0_164 ).
cnf(c_0_2449,plain,
( aElement0(X1)
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2444,c_0_2445]),c_0_2434])]) ).
cnf(c_0_2450,plain,
( aSet0(X1)
| X1 != slsdtgt0(X2)
| ~ aElement0(X2) ),
i_0_155 ).
cnf(c_0_2451,plain,
( aElementOf0(X1,xI)
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2446,c_0_2447]),c_0_2448])]),c_0_2449]) ).
cnf(c_0_2452,plain,
( aSet0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_2450]) ).
cnf(c_0_2453,plain,
( aElementOf0(X1,xI)
| ~ aSet0(slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2451,c_0_2452]),c_0_2434])]) ).
cnf(c_0_2454,hypothesis,
aElement0(xa),
i_0_168 ).
cnf(c_0_2455,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| sdtasdt0(X4,X3) != X1
| X2 != slsdtgt0(X4)
| ~ aElement0(X4) ),
i_0_126 ).
cnf(c_0_2456,negated_conjecture,
( X1 = sz00
| ~ aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
i_0_120 ).
cnf(c_0_2457,plain,
( aElementOf0(X1,xI)
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2453,c_0_2452]),c_0_2454])]) ).
cnf(c_0_2458,plain,
sdtpldt0(xc,sz00) = xc,
i_0_2395 ).
cnf(c_0_2459,hypothesis,
aElementOf0(sz00,slsdtgt0(xb)),
i_0_163 ).
cnf(c_0_2460,plain,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_2455])]) ).
cnf(c_0_2461,plain,
( sdtasdt0(X1,esk16_2(X1,X2)) = X2
| ~ doDivides0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_121 ).
cnf(c_0_2462,plain,
( aElement0(esk16_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_125 ).
cnf(c_0_2463,plain,
( doDivides0(X1,X2)
| ~ aDivisorOf0(X1,X3)
| ~ aDivisorOf0(X1,X4)
| ~ aGcdOfAnd0(X2,X3,X4)
| ~ aElement0(X3)
| ~ aElement0(X4) ),
i_0_93 ).
cnf(c_0_2464,hypothesis,
aGcdOfAnd0(xc,xa,xb),
i_0_129 ).
cnf(c_0_2465,negated_conjecture,
( X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(rw,[status(thm)],[c_0_2456,c_0_2443]) ).
cnf(c_0_2466,hypothesis,
aElementOf0(xb,xI),
inference(spm,[status(thm)],[c_0_2457,c_0_2431]) ).
cnf(c_0_2467,plain,
( aElementOf0(xc,xI)
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa))
| ~ aElementOf0(xc,slsdtgt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2446,c_0_2458]),c_0_2459])]) ).
cnf(c_0_2468,plain,
( aElementOf0(X1,slsdtgt0(X2))
| ~ doDivides0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2460,c_0_2461]),c_0_2462]) ).
cnf(c_0_2469,hypothesis,
( doDivides0(X1,xc)
| ~ aDivisorOf0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2463,c_0_2464]),c_0_2434]),c_0_2454])]) ).
cnf(c_0_2470,plain,
aElement0(xc),
i_0_2372 ).
cnf(c_0_2471,plain,
aDivisorOf0(xa,sz00),
i_0_274 ).
cnf(c_0_2472,negated_conjecture,
sz00 = xb,
inference(spm,[status(thm)],[c_0_2465,c_0_2466]) ).
cnf(c_0_2473,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
i_0_157 ).
cnf(c_0_2474,plain,
aElement0(sz00),
i_0_170 ).
cnf(c_0_2475,plain,
( aElementOf0(xc,xI)
| ~ aSet0(slsdtgt0(xa))
| ~ aElementOf0(xc,slsdtgt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2467,c_0_2452]),c_0_2434])]) ).
cnf(c_0_2476,hypothesis,
( aElementOf0(xc,slsdtgt0(X1))
| ~ aDivisorOf0(X1,xb)
| ~ aDivisorOf0(X1,xa)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2468,c_0_2469]),c_0_2470])]) ).
cnf(c_0_2477,plain,
aDivisorOf0(xa,xb),
inference(rw,[status(thm)],[c_0_2471,c_0_2472]) ).
cnf(c_0_2478,plain,
aDivisorOf0(xa,xa),
i_0_2361 ).
cnf(c_0_2479,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aElement0(esk16_2(sz00,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2473,c_0_2461]),c_0_2474])]) ).
cnf(c_0_2480,plain,
( aElementOf0(xc,xI)
| ~ aElementOf0(xc,slsdtgt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2475,c_0_2452]),c_0_2454])]) ).
cnf(c_0_2481,hypothesis,
aElementOf0(xc,slsdtgt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2476,c_0_2477]),c_0_2478]),c_0_2454])]) ).
cnf(c_0_2482,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2479,c_0_2462]),c_0_2474])]) ).
cnf(c_0_2483,plain,
( doDivides0(X1,X2)
| ~ aDivisorOf0(X1,X2)
| ~ aElement0(X2) ),
i_0_136 ).
cnf(c_0_2484,negated_conjecture,
( X1 = xb
| ~ aElementOf0(X1,xI) ),
inference(rw,[status(thm)],[c_0_2465,c_0_2472]) ).
cnf(c_0_2485,plain,
aElementOf0(xc,xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2480,c_0_2481])]) ).
cnf(c_0_2486,plain,
( X1 = sz00
| ~ aDivisorOf0(sz00,X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_2482,c_0_2483]) ).
cnf(c_0_2487,plain,
aDivisorOf0(xc,xa),
i_0_2365 ).
cnf(c_0_2488,plain,
xc = xb,
inference(spm,[status(thm)],[c_0_2484,c_0_2485]) ).
cnf(c_0_2489,hypothesis,
( xa != sz00
| xb != sz00 ),
i_0_171 ).
cnf(c_0_2490,plain,
( X1 = xb
| ~ aDivisorOf0(xb,X1)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2486,c_0_2472]),c_0_2472]) ).
cnf(c_0_2491,plain,
aDivisorOf0(xb,xa),
inference(rw,[status(thm)],[c_0_2487,c_0_2488]) ).
cnf(c_0_2492,hypothesis,
xb != xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2489,c_0_2472]),c_0_2472])]) ).
cnf(c_0_2493,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2490,c_0_2491]),c_0_2454])]),c_0_2492]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG109+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n010.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 01:50:21 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 156.19/113.79 % Version : CSE_E---1.7
% 156.19/113.79 % Problem : theBenchmark.p
% 156.19/113.79 % SZS status Theorem for theBenchmark.p
% 156.19/113.79 % SZS output start CNFRefutation
% See solution above
% 163.89/121.47 % Total time : 113.384s
%------------------------------------------------------------------------------