%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG122+4 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.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 05:05:25 PM UTC 2026
% Result : Theorem 191.54s 107.15s
% Output : CNFRefutation 201.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_369)
% Comments :
%------------------------------------------------------------------------------
fof(m__2273,hypothesis,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(m__2699,hypothesis,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xb )
& ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xb )
& aElementOf0(xb,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2699) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(mDefRel,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( misRelativelyPrime0(X1,X2)
<=> aGcdOfAnd0(sz10,X1,X2) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(m__,conjecture,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__2174,hypothesis,
( aSet0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xb,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,xI)
<=> ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(m__2129,hypothesis,
( aElement0(xc)
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xc,X1) = xa )
& doDivides0(xc,xa)
& aDivisorOf0(xc,xa)
& aElement0(xc)
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xc,X1) = xb )
& doDivides0(xc,xb)
& aDivisorOf0(xc,xb)
& ! [X1] :
( ( ( ( aElement0(X1)
& ( ? [X2] :
( aElement0(X2)
& sdtasdt0(X1,X2) = xa )
| doDivides0(X1,xa) ) )
| aDivisorOf0(X1,xa) )
& ( ? [X2] :
( aElement0(X2)
& sdtasdt0(X1,X2) = xb )
| doDivides0(X1,xb)
| aDivisorOf0(X1,xb) ) )
=> ( ? [X2] :
( aElement0(X2)
& sdtasdt0(X1,X2) = xc )
& doDivides0(X1,xc) ) )
& aGcdOfAnd0(xc,xa,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2129) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(m__2690,hypothesis,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = smndt0(sdtasdt0(xq,xu)) )
& aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2690) ).
fof(m__2383,hypothesis,
~ ( ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xa )
| doDivides0(xu,xa)
| aDivisorOf0(xu,xa) )
& ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xb )
| doDivides0(xu,xb)
| aDivisorOf0(xu,xb) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).
fof(m__2416,hypothesis,
? [X1,X2] :
( aElement0(X1)
& aElement0(X2)
& xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2416) ).
fof(mDefDvs,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aElement0(X2)
& doDivides0(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDvs) ).
fof(m__2228,hypothesis,
? [X1] :
( ! [X2] :
( aElementOf0(X2,slsdtgt0(xa))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xa,X3) = X2 ) )
& ! [X2] :
( aElementOf0(X2,slsdtgt0(xb))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 ) )
& ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
& aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X1 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
fof(mIdeInt,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> aIdeal0(sdtasasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIdeInt) ).
fof(mIdeSum,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> aIdeal0(sdtpldt1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIdeSum) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(mCancel,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCancel) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
fof(m__2612,hypothesis,
~ ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xb )
| doDivides0(xu,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(mEucSort,axiom,
! [X1] :
( ( aElement0(X1)
& X1 != sz00 )
=> aNaturalNumber0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEucSort) ).
fof(mPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> aIdeal0(slsdtgt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrIdeal) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(m__2203,hypothesis,
( ? [X1] :
( aElement0(X1)
& sdtasdt0(xa,X1) = sz00 )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xa,X1) = xa )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = sz00 )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = xb )
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
fof(m__2479,hypothesis,
~ ~ ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xa )
& doDivides0(xu,xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).
fof(m__2666,hypothesis,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
fof(m__2091,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(m__2110,hypothesis,
( xa != sz00
| xb != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2110) ).
fof(m__2673,hypothesis,
xr != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2673) ).
fof(mUnNeZr,axiom,
sz10 != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnNeZr) ).
fof(i_0_50,hypothesis,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
inference(fof_simplification,[status(thm)],[m__2273]) ).
fof(i_0_51,hypothesis,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xb )
& aElementOf0(xb,xI) ),
inference(fof_simplification,[status(thm)],[m__2699]) ).
fof(i_0_52,plain,
! [X166,X167,X168,X169,X172,X173,X174,X175,X177,X178] :
( ( aSet0(X168)
| X168 != sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) )
& ( aElementOf0(esk3_4(X166,X167,X168,X169),X166)
| ~ aElementOf0(X169,X168)
| X168 != sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) )
& ( aElementOf0(esk4_4(X166,X167,X168,X169),X167)
| ~ aElementOf0(X169,X168)
| X168 != sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) )
& ( sdtpldt0(esk3_4(X166,X167,X168,X169),esk4_4(X166,X167,X168,X169)) = X169
| ~ aElementOf0(X169,X168)
| X168 != sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) )
& ( ~ aElementOf0(X173,X166)
| ~ aElementOf0(X174,X167)
| sdtpldt0(X173,X174) != X172
| aElementOf0(X172,X168)
| X168 != sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) )
& ( ~ aElementOf0(esk5_3(X166,X167,X175),X175)
| ~ aElementOf0(X177,X166)
| ~ aElementOf0(X178,X167)
| sdtpldt0(X177,X178) != esk5_3(X166,X167,X175)
| ~ aSet0(X175)
| X175 = sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) )
& ( aElementOf0(esk6_3(X166,X167,X175),X166)
| aElementOf0(esk5_3(X166,X167,X175),X175)
| ~ aSet0(X175)
| X175 = sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) )
& ( aElementOf0(esk7_3(X166,X167,X175),X167)
| aElementOf0(esk5_3(X166,X167,X175),X175)
| ~ aSet0(X175)
| X175 = sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) )
& ( sdtpldt0(esk6_3(X166,X167,X175),esk7_3(X166,X167,X175)) = esk5_3(X166,X167,X175)
| aElementOf0(esk5_3(X166,X167,X175),X175)
| ~ aSet0(X175)
| X175 = sdtpldt1(X166,X167)
| ~ aSet0(X166)
| ~ aSet0(X167) ) ),
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_53,plain,
! [X203,X204,X206,X207] :
( ( aElement0(esk13_4(X203,X204,X206,X207))
| ~ aElement0(X206)
| ~ aElement0(X207)
| aElement0(esk12_2(X203,X204))
| ~ aIdeal0(X203)
| ~ aIdeal0(X204) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X203,X204,X206,X207),X206,X203)
| ~ aElement0(X206)
| ~ aElement0(X207)
| aElement0(esk12_2(X203,X204))
| ~ aIdeal0(X203)
| ~ aIdeal0(X204) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X203,X204,X206,X207),X207,X204)
| ~ aElement0(X206)
| ~ aElement0(X207)
| aElement0(esk12_2(X203,X204))
| ~ aIdeal0(X203)
| ~ aIdeal0(X204) )
& ( aElement0(esk13_4(X203,X204,X206,X207))
| ~ aElement0(X206)
| ~ aElement0(X207)
| ~ aElementOf0(esk12_2(X203,X204),sdtpldt1(X203,X204))
| ~ aIdeal0(X203)
| ~ aIdeal0(X204) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X203,X204,X206,X207),X206,X203)
| ~ aElement0(X206)
| ~ aElement0(X207)
| ~ aElementOf0(esk12_2(X203,X204),sdtpldt1(X203,X204))
| ~ aIdeal0(X203)
| ~ aIdeal0(X204) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X203,X204,X206,X207),X207,X204)
| ~ aElement0(X206)
| ~ aElement0(X207)
| ~ aElementOf0(esk12_2(X203,X204),sdtpldt1(X203,X204))
| ~ aIdeal0(X203)
| ~ aIdeal0(X204) ) ),
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_54,plain,
! [X181,X182,X183,X184,X185,X186] :
( ( aSet0(X183)
| X183 != sdtasasdt0(X181,X182)
| ~ aSet0(X181)
| ~ aSet0(X182) )
& ( aElementOf0(X184,X181)
| ~ aElementOf0(X184,X183)
| X183 != sdtasasdt0(X181,X182)
| ~ aSet0(X181)
| ~ aSet0(X182) )
& ( aElementOf0(X184,X182)
| ~ aElementOf0(X184,X183)
| X183 != sdtasasdt0(X181,X182)
| ~ aSet0(X181)
| ~ aSet0(X182) )
& ( ~ aElementOf0(X185,X181)
| ~ aElementOf0(X185,X182)
| aElementOf0(X185,X183)
| X183 != sdtasasdt0(X181,X182)
| ~ aSet0(X181)
| ~ aSet0(X182) )
& ( ~ aElementOf0(esk8_3(X181,X182,X186),X186)
| ~ aElementOf0(esk8_3(X181,X182,X186),X181)
| ~ aElementOf0(esk8_3(X181,X182,X186),X182)
| ~ aSet0(X186)
| X186 = sdtasasdt0(X181,X182)
| ~ aSet0(X181)
| ~ aSet0(X182) )
& ( aElementOf0(esk8_3(X181,X182,X186),X181)
| aElementOf0(esk8_3(X181,X182,X186),X186)
| ~ aSet0(X186)
| X186 = sdtasasdt0(X181,X182)
| ~ aSet0(X181)
| ~ aSet0(X182) )
& ( aElementOf0(esk8_3(X181,X182,X186),X182)
| aElementOf0(esk8_3(X181,X182,X186),X186)
| ~ aSet0(X186)
| X186 = sdtasasdt0(X181,X182)
| ~ aSet0(X181)
| ~ aSet0(X182) ) ),
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_55,plain,
! [X220,X221,X222,X223,X224] :
( ( aDivisorOf0(X222,X220)
| ~ aGcdOfAnd0(X222,X220,X221)
| ~ aElement0(X220)
| ~ aElement0(X221) )
& ( aDivisorOf0(X222,X221)
| ~ aGcdOfAnd0(X222,X220,X221)
| ~ aElement0(X220)
| ~ aElement0(X221) )
& ( ~ aDivisorOf0(X223,X220)
| ~ aDivisorOf0(X223,X221)
| doDivides0(X223,X222)
| ~ aGcdOfAnd0(X222,X220,X221)
| ~ aElement0(X220)
| ~ aElement0(X221) )
& ( aDivisorOf0(esk17_3(X220,X221,X224),X220)
| ~ aDivisorOf0(X224,X220)
| ~ aDivisorOf0(X224,X221)
| aGcdOfAnd0(X224,X220,X221)
| ~ aElement0(X220)
| ~ aElement0(X221) )
& ( aDivisorOf0(esk17_3(X220,X221,X224),X221)
| ~ aDivisorOf0(X224,X220)
| ~ aDivisorOf0(X224,X221)
| aGcdOfAnd0(X224,X220,X221)
| ~ aElement0(X220)
| ~ aElement0(X221) )
& ( ~ doDivides0(esk17_3(X220,X221,X224),X224)
| ~ aDivisorOf0(X224,X220)
| ~ aDivisorOf0(X224,X221)
| aGcdOfAnd0(X224,X220,X221)
| ~ aElement0(X220)
| ~ aElement0(X221) ) ),
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_56,plain,
! [X188,X189,X190,X191,X192] :
( ( aSet0(X188)
| ~ aIdeal0(X188) )
& ( ~ aElementOf0(X190,X188)
| aElementOf0(sdtpldt0(X189,X190),X188)
| ~ aElementOf0(X189,X188)
| ~ aIdeal0(X188) )
& ( ~ aElement0(X191)
| aElementOf0(sdtasdt0(X191,X189),X188)
| ~ aElementOf0(X189,X188)
| ~ aIdeal0(X188) )
& ( aElementOf0(esk9_1(X192),X192)
| ~ aSet0(X192)
| aIdeal0(X192) )
& ( aElement0(esk11_1(X192))
| aElementOf0(esk10_1(X192),X192)
| ~ aSet0(X192)
| aIdeal0(X192) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X192),esk9_1(X192)),X192)
| aElementOf0(esk10_1(X192),X192)
| ~ aSet0(X192)
| aIdeal0(X192) )
& ( aElement0(esk11_1(X192))
| ~ aElementOf0(sdtpldt0(esk9_1(X192),esk10_1(X192)),X192)
| ~ aSet0(X192)
| aIdeal0(X192) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X192),esk9_1(X192)),X192)
| ~ aElementOf0(sdtpldt0(esk9_1(X192),esk10_1(X192)),X192)
| ~ aSet0(X192)
| aIdeal0(X192) ) ),
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_57,plain,
! [X200,X201,X202] :
( ( ~ sdteqdtlpzmzozddtrp0(X200,X201,X202)
| aElementOf0(sdtpldt0(X200,smndt0(X201)),X202)
| ~ aElement0(X200)
| ~ aElement0(X201)
| ~ aIdeal0(X202) )
& ( ~ aElementOf0(sdtpldt0(X200,smndt0(X201)),X202)
| sdteqdtlpzmzozddtrp0(X200,X201,X202)
| ~ aElement0(X200)
| ~ aElement0(X201)
| ~ aIdeal0(X202) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMod])])]) ).
fof(i_0_58,plain,
! [X228,X229,X230,X232,X233,X234,X236] :
( ( aSet0(X229)
| X229 != slsdtgt0(X228)
| ~ aElement0(X228) )
& ( aElement0(esk18_3(X228,X229,X230))
| ~ aElementOf0(X230,X229)
| X229 != slsdtgt0(X228)
| ~ aElement0(X228) )
& ( sdtasdt0(X228,esk18_3(X228,X229,X230)) = X230
| ~ aElementOf0(X230,X229)
| X229 != slsdtgt0(X228)
| ~ aElement0(X228) )
& ( ~ aElement0(X233)
| sdtasdt0(X228,X233) != X232
| aElementOf0(X232,X229)
| X229 != slsdtgt0(X228)
| ~ aElement0(X228) )
& ( ~ aElementOf0(esk19_2(X228,X234),X234)
| ~ aElement0(X236)
| sdtasdt0(X228,X236) != esk19_2(X228,X234)
| ~ aSet0(X234)
| X234 = slsdtgt0(X228)
| ~ aElement0(X228) )
& ( aElement0(esk20_2(X228,X234))
| aElementOf0(esk19_2(X228,X234),X234)
| ~ aSet0(X234)
| X234 = slsdtgt0(X228)
| ~ aElement0(X228) )
& ( sdtasdt0(X228,esk20_2(X228,X234)) = esk19_2(X228,X234)
| aElementOf0(esk19_2(X228,X234),X234)
| ~ aSet0(X234)
| X234 = slsdtgt0(X228)
| ~ aElement0(X228) ) ),
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_59,plain,
! [X162,X163] :
( ( aElementOf0(esk2_2(X162,X163),X163)
| aElementOf0(esk1_2(X162,X163),X162)
| X162 = X163
| ~ aSet0(X162)
| ~ aSet0(X163) )
& ( ~ aElementOf0(esk2_2(X162,X163),X162)
| aElementOf0(esk1_2(X162,X163),X162)
| X162 = X163
| ~ aSet0(X162)
| ~ aSet0(X163) )
& ( aElementOf0(esk2_2(X162,X163),X163)
| ~ aElementOf0(esk1_2(X162,X163),X163)
| X162 = X163
| ~ aSet0(X162)
| ~ aSet0(X163) )
& ( ~ aElementOf0(esk2_2(X162,X163),X162)
| ~ aElementOf0(esk1_2(X162,X163),X163)
| X162 = X163
| ~ aSet0(X162)
| ~ aSet0(X163) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSetEq])])])]) ).
fof(i_0_60,plain,
! [X210,X211] :
( ( aElement0(esk14_2(X210,X211))
| ~ aElement0(X210)
| ~ aElement0(X211)
| X211 = sz00 )
& ( aElement0(esk15_2(X210,X211))
| ~ aElement0(X210)
| ~ aElement0(X211)
| X211 = sz00 )
& ( X210 = sdtpldt0(sdtasdt0(esk14_2(X210,X211),X211),esk15_2(X210,X211))
| ~ aElement0(X210)
| ~ aElement0(X211)
| X211 = sz00 )
& ( esk15_2(X210,X211) = sz00
| iLess0(sbrdtbr0(esk15_2(X210,X211)),sbrdtbr0(X211))
| ~ aElement0(X210)
| ~ aElement0(X211)
| X211 = sz00 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivision])])])]) ).
fof(i_0_61,plain,
! [X153,X154,X155] :
( ( sdtasdt0(X153,sdtpldt0(X154,X155)) = sdtpldt0(sdtasdt0(X153,X154),sdtasdt0(X153,X155))
| ~ aElement0(X153)
| ~ aElement0(X154)
| ~ aElement0(X155) )
& ( sdtasdt0(sdtpldt0(X154,X155),X153) = sdtpldt0(sdtasdt0(X154,X153),sdtasdt0(X155,X153))
| ~ aElement0(X153)
| ~ aElement0(X154)
| ~ aElement0(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_62,hypothesis,
! [X277,X278,X279] :
( aElementOf0(esk37_0,slsdtgt0(xa))
& aElementOf0(esk38_0,slsdtgt0(xb))
& sdtpldt0(esk37_0,esk38_0) = xu
& aElementOf0(xu,xI)
& xu != sz00
& ( ~ aElementOf0(X278,slsdtgt0(xa))
| ~ aElementOf0(X279,slsdtgt0(xb))
| sdtpldt0(X278,X279) != X277
| X277 = sz00
| ~ iLess0(sbrdtbr0(X277),sbrdtbr0(xu)) )
& ( ~ aElementOf0(X277,xI)
| X277 = sz00
| ~ iLess0(sbrdtbr0(X277),sbrdtbr0(xu)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_50])])])])]) ).
fof(i_0_63,plain,
! [X226,X227] :
( ( ~ misRelativelyPrime0(X226,X227)
| aGcdOfAnd0(sz10,X226,X227)
| ~ aElement0(X226)
| ~ aElement0(X227) )
& ( ~ aGcdOfAnd0(sz10,X226,X227)
| misRelativelyPrime0(X226,X227)
| ~ aElement0(X226)
| ~ aElement0(X227) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefRel])])]) ).
fof(i_0_64,plain,
! [X149,X150,X151] :
( ~ aElement0(X149)
| ~ aElement0(X150)
| ~ aElement0(X151)
| sdtasdt0(sdtasdt0(X149,X150),X151) = sdtasdt0(X149,sdtasdt0(X150,X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_65,plain,
! [X142,X143,X144] :
( ~ aElement0(X142)
| ~ aElement0(X143)
| ~ aElement0(X144)
| sdtpldt0(sdtpldt0(X142,X143),X144) = sdtpldt0(X142,sdtpldt0(X143,X144)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_66,negated_conjecture,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(i_0_67,hypothesis,
! [X245,X246,X247,X248,X250,X251,X252,X254,X255,X256,X259,X260,X261] :
( aSet0(xI)
& ( ~ aElementOf0(X246,xI)
| aElementOf0(sdtpldt0(X245,X246),xI)
| ~ aElementOf0(X245,xI) )
& ( ~ aElement0(X247)
| aElementOf0(sdtasdt0(X247,X245),xI)
| ~ aElementOf0(X245,xI) )
& aIdeal0(xI)
& ( aElement0(esk24_1(X248))
| ~ aElementOf0(X248,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk24_1(X248)) = X248
| ~ aElementOf0(X248,slsdtgt0(xa)) )
& ( ~ aElement0(X251)
| sdtasdt0(xa,X251) != X250
| aElementOf0(X250,slsdtgt0(xa)) )
& ( aElement0(esk25_1(X252))
| ~ aElementOf0(X252,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk25_1(X252)) = X252
| ~ aElementOf0(X252,slsdtgt0(xb)) )
& ( ~ aElement0(X255)
| sdtasdt0(xb,X255) != X254
| aElementOf0(X254,slsdtgt0(xb)) )
& ( aElementOf0(esk26_1(X256),slsdtgt0(xa))
| ~ aElementOf0(X256,xI) )
& ( aElementOf0(esk27_1(X256),slsdtgt0(xb))
| ~ aElementOf0(X256,xI) )
& ( sdtpldt0(esk26_1(X256),esk27_1(X256)) = X256
| ~ aElementOf0(X256,xI) )
& ( ~ aElementOf0(X260,slsdtgt0(xa))
| ~ aElementOf0(X261,slsdtgt0(xb))
| sdtpldt0(X260,X261) != X259
| aElementOf0(X259,xI) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
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)],[m__2174])])])])])]) ).
fof(i_0_68,hypothesis,
! [X241,X242,X243] :
( aElement0(xc)
& aElement0(esk21_0)
& sdtasdt0(xc,esk21_0) = xa
& doDivides0(xc,xa)
& aDivisorOf0(xc,xa)
& aElement0(xc)
& aElement0(esk22_0)
& sdtasdt0(xc,esk22_0) = xb
& doDivides0(xc,xb)
& aDivisorOf0(xc,xb)
& ( aElement0(esk23_1(X241))
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( doDivides0(X241,xc)
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( aElement0(esk23_1(X241))
| ~ doDivides0(X241,xb)
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ doDivides0(X241,xb)
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( doDivides0(X241,xc)
| ~ doDivides0(X241,xb)
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( aElement0(esk23_1(X241))
| ~ aDivisorOf0(X241,xb)
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ aDivisorOf0(X241,xb)
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( doDivides0(X241,xc)
| ~ aDivisorOf0(X241,xb)
| ~ aElement0(X242)
| sdtasdt0(X241,X242) != xa
| ~ aElement0(X241) )
& ( aElement0(esk23_1(X241))
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( doDivides0(X241,xc)
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( aElement0(esk23_1(X241))
| ~ doDivides0(X241,xb)
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ doDivides0(X241,xb)
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( doDivides0(X241,xc)
| ~ doDivides0(X241,xb)
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( aElement0(esk23_1(X241))
| ~ aDivisorOf0(X241,xb)
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ aDivisorOf0(X241,xb)
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( doDivides0(X241,xc)
| ~ aDivisorOf0(X241,xb)
| ~ doDivides0(X241,xa)
| ~ aElement0(X241) )
& ( aElement0(esk23_1(X241))
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ aDivisorOf0(X241,xa) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ aDivisorOf0(X241,xa) )
& ( doDivides0(X241,xc)
| ~ aElement0(X243)
| sdtasdt0(X241,X243) != xb
| ~ aDivisorOf0(X241,xa) )
& ( aElement0(esk23_1(X241))
| ~ doDivides0(X241,xb)
| ~ aDivisorOf0(X241,xa) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ doDivides0(X241,xb)
| ~ aDivisorOf0(X241,xa) )
& ( doDivides0(X241,xc)
| ~ doDivides0(X241,xb)
| ~ aDivisorOf0(X241,xa) )
& ( aElement0(esk23_1(X241))
| ~ aDivisorOf0(X241,xb)
| ~ aDivisorOf0(X241,xa) )
& ( sdtasdt0(X241,esk23_1(X241)) = xc
| ~ aDivisorOf0(X241,xb)
| ~ aDivisorOf0(X241,xa) )
& ( doDivides0(X241,xc)
| ~ aDivisorOf0(X241,xb)
| ~ aDivisorOf0(X241,xa) )
& aGcdOfAnd0(xc,xa,xb) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2129])])])])]) ).
fof(i_0_69,plain,
! [X214,X215,X217] :
( ( aElement0(esk16_2(X214,X215))
| ~ doDivides0(X214,X215)
| ~ aElement0(X214)
| ~ aElement0(X215) )
& ( sdtasdt0(X214,esk16_2(X214,X215)) = X215
| ~ doDivides0(X214,X215)
| ~ aElement0(X214)
| ~ aElement0(X215) )
& ( ~ aElement0(X217)
| sdtasdt0(X214,X217) != X215
| doDivides0(X214,X215)
| ~ aElement0(X214)
| ~ aElement0(X215) ) ),
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_70,hypothesis,
( aElementOf0(esk42_0,slsdtgt0(xa))
& aElementOf0(esk43_0,slsdtgt0(xb))
& sdtpldt0(esk42_0,esk43_0) = smndt0(sdtasdt0(xq,xu))
& aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2690])]) ).
fof(i_0_71,hypothesis,
! [X280,X281] :
( ( ~ aElement0(X281)
| sdtasdt0(xu,X281) != xb
| ~ aElement0(X280)
| sdtasdt0(xu,X280) != xa )
& ( ~ doDivides0(xu,xb)
| ~ aElement0(X280)
| sdtasdt0(xu,X280) != xa )
& ( ~ aDivisorOf0(xu,xb)
| ~ aElement0(X280)
| sdtasdt0(xu,X280) != xa )
& ( ~ aElement0(X281)
| sdtasdt0(xu,X281) != xb
| ~ doDivides0(xu,xa) )
& ( ~ doDivides0(xu,xb)
| ~ doDivides0(xu,xa) )
& ( ~ aDivisorOf0(xu,xb)
| ~ doDivides0(xu,xa) )
& ( ~ aElement0(X281)
| sdtasdt0(xu,X281) != xb
| ~ aDivisorOf0(xu,xa) )
& ( ~ doDivides0(xu,xb)
| ~ aDivisorOf0(xu,xa) )
& ( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2383])])])]) ).
fof(i_0_72,hypothesis,
( aElement0(esk39_0)
& aElement0(esk40_0)
& xu = sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2416])]) ).
fof(i_0_73,plain,
! [X218,X219] :
( ( aElement0(X219)
| ~ aDivisorOf0(X219,X218)
| ~ aElement0(X218) )
& ( doDivides0(X219,X218)
| ~ aDivisorOf0(X219,X218)
| ~ aElement0(X218) )
& ( ~ aElement0(X219)
| ~ doDivides0(X219,X218)
| aDivisorOf0(X219,X218)
| ~ aElement0(X218) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDvs])])])]) ).
fof(i_0_74,hypothesis,
! [X267,X269,X270,X272] :
( ( aElement0(esk33_1(X267))
| ~ aElementOf0(X267,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk33_1(X267)) = X267
| ~ aElementOf0(X267,slsdtgt0(xa)) )
& ( ~ aElement0(X269)
| sdtasdt0(xa,X269) != X267
| aElementOf0(X267,slsdtgt0(xa)) )
& ( aElement0(esk34_1(X270))
| ~ aElementOf0(X270,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk34_1(X270)) = X270
| ~ aElementOf0(X270,slsdtgt0(xb)) )
& ( ~ aElement0(X272)
| sdtasdt0(xb,X272) != X270
| aElementOf0(X270,slsdtgt0(xb)) )
& aElementOf0(esk35_0,slsdtgt0(xa))
& aElementOf0(esk36_0,slsdtgt0(xb))
& sdtpldt0(esk35_0,esk36_0) = esk32_0
& aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& esk32_0 != sz00 ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2228])])])])]) ).
fof(i_0_75,plain,
! [X198,X199] :
( ~ aIdeal0(X198)
| ~ aIdeal0(X199)
| aIdeal0(sdtasasdt0(X198,X199)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeInt])]) ).
fof(i_0_76,plain,
! [X196,X197] :
( ~ aIdeal0(X196)
| ~ aIdeal0(X197)
| aIdeal0(sdtpldt1(X196,X197)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeSum])]) ).
fof(i_0_77,plain,
! [X138,X139] :
( ~ aElement0(X138)
| ~ aElement0(X139)
| aElement0(sdtasdt0(X138,X139)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_78,plain,
! [X136,X137] :
( ~ aElement0(X136)
| ~ aElement0(X137)
| aElement0(sdtpldt0(X136,X137)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_79,plain,
! [X147,X148] :
( ~ aElement0(X147)
| ~ aElement0(X148)
| sdtasdt0(X147,X148) = sdtasdt0(X148,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_80,plain,
! [X140,X141] :
( ~ aElement0(X140)
| ~ aElement0(X141)
| sdtpldt0(X140,X141) = sdtpldt0(X141,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_81,plain,
! [X158,X159] :
( ~ aElement0(X158)
| ~ aElement0(X159)
| sdtasdt0(X158,X159) != sz00
| X158 = sz00
| X159 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCancel])]) ).
fof(i_0_82,plain,
! [X160,X161] :
( ~ aSet0(X160)
| ~ aElementOf0(X161,X160)
| aElement0(X161) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_83,plain,
! [X156] :
( ( sdtasdt0(smndt0(sz10),X156) = smndt0(X156)
| ~ aElement0(X156) )
& ( smndt0(X156) = sdtasdt0(X156,smndt0(sz10))
| ~ aElement0(X156) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).
fof(i_0_84,plain,
! [X146] :
( ( sdtpldt0(X146,smndt0(X146)) = sz00
| ~ aElement0(X146) )
& ( sz00 = sdtpldt0(smndt0(X146),X146)
| ~ aElement0(X146) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).
fof(i_0_85,hypothesis,
! [X285] :
( ( ~ aElement0(X285)
| sdtasdt0(xu,X285) != xb )
& ~ doDivides0(xu,xb) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2612])])]) ).
fof(i_0_86,plain,
! [X152] :
( ( sdtasdt0(X152,sz10) = X152
| ~ aElement0(X152) )
& ( X152 = sdtasdt0(sz10,X152)
| ~ aElement0(X152) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).
fof(i_0_87,plain,
! [X145] :
( ( sdtpldt0(X145,sz00) = X145
| ~ aElement0(X145) )
& ( X145 = sdtpldt0(sz00,X145)
| ~ aElement0(X145) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(i_0_88,plain,
! [X157] :
( ( sdtasdt0(X157,sz00) = sz00
| ~ aElement0(X157) )
& ( sz00 = sdtasdt0(sz00,X157)
| ~ aElement0(X157) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(i_0_89,plain,
! [X209] :
( ~ aElement0(X209)
| X209 = sz00
| aNaturalNumber0(sbrdtbr0(X209)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEucSort])]) ).
fof(i_0_90,plain,
! [X238] :
( ~ aElement0(X238)
| aIdeal0(slsdtgt0(X238)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrIdeal])]) ).
fof(i_0_91,plain,
! [X135] :
( ~ aElement0(X135)
| aElement0(smndt0(X135)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
fof(i_0_92,hypothesis,
( aElementOf0(esk44_0,slsdtgt0(xa))
& aElementOf0(esk45_0,slsdtgt0(xb))
& sdtpldt0(esk44_0,esk45_0) = xb
& aElementOf0(xb,xI) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_51])]) ).
fof(i_0_93,hypothesis,
( aElement0(esk28_0)
& sdtasdt0(xa,esk28_0) = sz00
& aElementOf0(sz00,slsdtgt0(xa))
& aElement0(esk29_0)
& sdtasdt0(xa,esk29_0) = xa
& aElementOf0(xa,slsdtgt0(xa))
& aElement0(esk30_0)
& sdtasdt0(xb,esk30_0) = sz00
& aElementOf0(sz00,slsdtgt0(xb))
& aElement0(esk31_0)
& sdtasdt0(xb,esk31_0) = xb
& aElementOf0(xb,slsdtgt0(xb)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2203])]) ).
fof(i_0_94,hypothesis,
( aElement0(esk41_0)
& sdtasdt0(xu,esk41_0) = xa
& doDivides0(xu,xa) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2479])])]) ).
cnf(i_0_95,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_52]),
[final] ).
cnf(i_0_96,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_53]),
[final] ).
cnf(i_0_97,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_53]),
[final] ).
cnf(i_0_98,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_53]),
[final] ).
cnf(i_0_99,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_54]),
[final] ).
cnf(i_0_100,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_53]),
[final] ).
cnf(i_0_101,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_53]),
[final] ).
cnf(i_0_102,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_52]),
[final] ).
cnf(i_0_103,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_52]),
[final] ).
cnf(i_0_104,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_53]),
[final] ).
cnf(i_0_105,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_52]),
[final] ).
cnf(i_0_106,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_52]),
[final] ).
cnf(i_0_107,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_55]),
[final] ).
cnf(i_0_108,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_54]),
[final] ).
cnf(i_0_109,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_54]),
[final] ).
cnf(i_0_110,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_52]),
[final] ).
cnf(i_0_111,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_52]),
[final] ).
cnf(i_0_112,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_55]),
[final] ).
cnf(i_0_113,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_55]),
[final] ).
cnf(i_0_114,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_56]),
[final] ).
cnf(i_0_115,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_55]),
[final] ).
cnf(i_0_116,plain,
( aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_117,plain,
( sdtasdt0(X1,esk18_3(X1,X2,X3)) = X3
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_118,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_119,plain,
( aElement0(esk18_3(X1,X2,X3))
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_120,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_59]),
[final] ).
cnf(i_0_121,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_60]),
[final] ).
cnf(i_0_122,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_58]),
[final] ).
cnf(i_0_123,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_56]),
[final] ).
cnf(i_0_124,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_61]),
[final] ).
cnf(i_0_125,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_61]),
[final] ).
cnf(i_0_126,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_56]),
[final] ).
cnf(i_0_127,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_52]),
[final] ).
cnf(i_0_128,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_59]),
[final] ).
cnf(i_0_129,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_59]),
[final] ).
cnf(i_0_130,hypothesis,
( X3 = sz00
| ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| sdtpldt0(X1,X2) != X3
| ~ iLess0(sbrdtbr0(X3),sbrdtbr0(xu)) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_131,plain,
( aDivisorOf0(X1,X2)
| ~ aGcdOfAnd0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_132,plain,
( aDivisorOf0(X1,X2)
| ~ aGcdOfAnd0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_133,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_58]),
[final] ).
cnf(i_0_134,plain,
( misRelativelyPrime0(X1,X2)
| ~ aGcdOfAnd0(sz10,X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_135,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_60]),
[final] ).
cnf(i_0_136,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_137,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_138,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_54]),
[final] ).
cnf(i_0_139,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_59]),
[final] ).
cnf(i_0_140,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_141,negated_conjecture,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_142,hypothesis,
( aElementOf0(X3,xI)
| ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| sdtpldt0(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_143,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_58]),
[final] ).
cnf(i_0_144,plain,
( aGcdOfAnd0(sz10,X1,X2)
| ~ misRelativelyPrime0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_145,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ aElement0(X3)
| sdtasdt0(X1,X3) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_146,hypothesis,
( doDivides0(X1,xc)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ aElement0(X3)
| sdtasdt0(X1,X3) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_147,hypothesis,
( aElementOf0(sdtpldt0(X2,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_148,plain,
( sdtasdt0(X1,esk16_2(X1,X2)) = X2
| ~ doDivides0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_149,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_150,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ aDivisorOf0(X1,xb)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_151,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ doDivides0(X1,xb)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_152,hypothesis,
( aElement0(esk23_1(X1))
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ aElement0(X3)
| sdtasdt0(X1,X3) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_153,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_154,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X2,X4)
| ~ aSet0(X2)
| ~ aSet0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_155,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X4,X2)
| ~ aSet0(X4)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_156,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_157,hypothesis,
( doDivides0(X1,xc)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_158,hypothesis,
( doDivides0(X1,xc)
| ~ aDivisorOf0(X1,xb)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_159,hypothesis,
( doDivides0(X1,xc)
| ~ doDivides0(X1,xb)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_160,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ aDivisorOf0(X1,xb)
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_161,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ doDivides0(X1,xb)
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_162,hypothesis,
( aElement0(esk23_1(X1))
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_163,hypothesis,
( aElement0(esk23_1(X1))
| ~ aDivisorOf0(X1,xb)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_164,hypothesis,
( aElement0(esk23_1(X1))
| ~ doDivides0(X1,xb)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xa
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_165,plain,
( aElement0(esk16_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_166,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_167,hypothesis,
( doDivides0(X1,xc)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_168,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ aDivisorOf0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_169,hypothesis,
( sdtasdt0(X1,esk23_1(X1)) = xc
| ~ doDivides0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_170,plain,
( aElementOf0(X3,X4)
| ~ aElement0(X1)
| sdtasdt0(X2,X1) != X3
| X4 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_171,hypothesis,
( aElement0(esk23_1(X1))
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != xb
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_172,hypothesis,
( doDivides0(X1,xc)
| ~ aDivisorOf0(X1,xb)
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_173,hypothesis,
( doDivides0(X1,xc)
| ~ doDivides0(X1,xb)
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_174,plain,
( doDivides0(X2,X3)
| ~ aElement0(X1)
| sdtasdt0(X2,X1) != X3
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_175,hypothesis,
( X1 = sz00
| ~ aElementOf0(X1,xI)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_176,hypothesis,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_177,hypothesis,
( aElement0(esk23_1(X1))
| ~ aDivisorOf0(X1,xb)
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_178,hypothesis,
( aElement0(esk23_1(X1))
| ~ doDivides0(X1,xb)
| ~ doDivides0(X1,xa)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_179,hypothesis,
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb
| ~ aElement0(X2)
| sdtasdt0(xu,X2) != xa ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_180,hypothesis,
xu = sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_181,hypothesis,
( doDivides0(X1,xc)
| ~ aDivisorOf0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_182,hypothesis,
( doDivides0(X1,xc)
| ~ doDivides0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_183,plain,
( aDivisorOf0(X1,X2)
| ~ aElement0(X1)
| ~ doDivides0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_184,hypothesis,
( aElement0(esk23_1(X1))
| ~ aDivisorOf0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_185,hypothesis,
( aElement0(esk23_1(X1))
| ~ doDivides0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_186,hypothesis,
aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_187,hypothesis,
aGcdOfAnd0(xc,xa,xb),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_188,hypothesis,
( sdtpldt0(esk26_1(X1),esk27_1(X1)) = X1
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_189,hypothesis,
( sdtasdt0(xb,esk34_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_190,hypothesis,
( sdtasdt0(xb,esk25_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_191,hypothesis,
( sdtasdt0(xa,esk33_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_192,hypothesis,
( sdtasdt0(xa,esk24_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_193,plain,
( aElement0(esk15_2(X1,X2))
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_194,plain,
( aElement0(esk14_2(X1,X2))
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_195,hypothesis,
( aElementOf0(X2,slsdtgt0(xb))
| ~ aElement0(X1)
| sdtasdt0(xb,X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_196,hypothesis,
( aElementOf0(X2,slsdtgt0(xb))
| ~ aElement0(X1)
| sdtasdt0(xb,X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_197,hypothesis,
( aElementOf0(X2,slsdtgt0(xa))
| ~ aElement0(X1)
| sdtasdt0(xa,X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_198,hypothesis,
( aElementOf0(X2,slsdtgt0(xa))
| ~ aElement0(X1)
| sdtasdt0(xa,X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_199,hypothesis,
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb
| ~ aDivisorOf0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_200,hypothesis,
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb
| ~ doDivides0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_201,hypothesis,
( ~ aDivisorOf0(xu,xb)
| ~ aElement0(X1)
| sdtasdt0(xu,X1) != xa ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_202,hypothesis,
( ~ doDivides0(xu,xb)
| ~ aElement0(X1)
| sdtasdt0(xu,X1) != xa ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_203,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_204,plain,
( aIdeal0(sdtpldt1(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_205,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_206,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_207,plain,
( doDivides0(X1,X2)
| ~ aDivisorOf0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_208,hypothesis,
( aElementOf0(esk27_1(X1),slsdtgt0(xb))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_209,hypothesis,
( aElementOf0(esk26_1(X1),slsdtgt0(xa))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_210,plain,
( aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_211,plain,
( aSet0(X1)
| X1 != sdtasasdt0(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_212,plain,
( aSet0(X1)
| X1 != sdtpldt1(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_213,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_214,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_215,plain,
( X1 = sz00
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_216,hypothesis,
( aElement0(esk34_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_217,hypothesis,
( aElement0(esk33_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_218,hypothesis,
( aElement0(esk25_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_219,hypothesis,
( aElement0(esk24_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_220,hypothesis,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_221,hypothesis,
( ~ doDivides0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_222,hypothesis,
( ~ aDivisorOf0(xu,xb)
| ~ doDivides0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_223,hypothesis,
( ~ doDivides0(xu,xb)
| ~ doDivides0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_224,hypothesis,
sdtpldt0(esk42_0,esk43_0) = smndt0(sdtasdt0(xq,xu)),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_225,plain,
( aElement0(X1)
| ~ aDivisorOf0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_226,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_227,hypothesis,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(split_conjunct,[status(thm)],[m__2666]),
[final] ).
cnf(i_0_228,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_229,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_230,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_231,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_232,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_233,hypothesis,
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_234,hypothesis,
( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
inference(split_conjunct,[status(thm)],[m__2666]),
[final] ).
cnf(i_0_235,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_236,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_237,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_238,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_239,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_240,plain,
( aSet0(X1)
| X1 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_241,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_242,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_243,plain,
( X1 = sz00
| aNaturalNumber0(sbrdtbr0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_244,hypothesis,
~ doDivides0(xu,xb),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_245,plain,
( aIdeal0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_246,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_247,hypothesis,
aElementOf0(esk45_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_248,hypothesis,
aElementOf0(esk44_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_249,hypothesis,
aElementOf0(esk43_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_250,hypothesis,
aElementOf0(esk42_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_251,hypothesis,
aElementOf0(esk38_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_252,hypothesis,
aElementOf0(esk37_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_253,hypothesis,
aElementOf0(esk36_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_254,hypothesis,
aElementOf0(esk35_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_255,hypothesis,
aElementOf0(xb,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_256,hypothesis,
aElementOf0(xa,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_257,hypothesis,
aElementOf0(sz00,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_258,hypothesis,
aElementOf0(sz00,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_259,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_260,hypothesis,
aDivisorOf0(xc,xb),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_261,hypothesis,
aDivisorOf0(xc,xa),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_262,hypothesis,
doDivides0(xu,xa),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_263,hypothesis,
doDivides0(xc,xb),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_264,hypothesis,
doDivides0(xc,xa),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_265,hypothesis,
aElementOf0(xu,xI),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_266,hypothesis,
aElementOf0(xb,xI),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_267,hypothesis,
sdtasdt0(xu,esk41_0) = xa,
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_268,hypothesis,
sdtasdt0(xc,esk22_0) = xb,
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_269,hypothesis,
sdtasdt0(xc,esk21_0) = xa,
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_270,hypothesis,
sdtasdt0(xb,esk31_0) = xb,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_271,hypothesis,
sdtasdt0(xb,esk30_0) = sz00,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_272,hypothesis,
sdtasdt0(xa,esk29_0) = xa,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_273,hypothesis,
sdtasdt0(xa,esk28_0) = sz00,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_274,hypothesis,
sdtpldt0(esk44_0,esk45_0) = xb,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_275,hypothesis,
sdtpldt0(esk37_0,esk38_0) = xu,
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_276,hypothesis,
sdtpldt0(esk35_0,esk36_0) = esk32_0,
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_277,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_278,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_279,hypothesis,
aElement0(esk41_0),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_280,hypothesis,
aElement0(esk40_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_281,hypothesis,
aElement0(esk39_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_282,hypothesis,
aElement0(esk31_0),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_283,hypothesis,
aElement0(esk30_0),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_284,hypothesis,
aElement0(esk29_0),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_285,hypothesis,
aElement0(esk28_0),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_286,hypothesis,
aElement0(esk22_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_287,hypothesis,
aElement0(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_288,hypothesis,
aElement0(xr),
inference(split_conjunct,[status(thm)],[m__2666]),
[final] ).
cnf(i_0_289,hypothesis,
aElement0(xq),
inference(split_conjunct,[status(thm)],[m__2666]),
[final] ).
cnf(i_0_290,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_291,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_292,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__2091]),
[final] ).
cnf(i_0_293,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__2091]),
[final] ).
cnf(i_0_294,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_295,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_296,hypothesis,
( xa != sz00
| xb != sz00 ),
inference(split_conjunct,[status(thm)],[m__2110]),
[final] ).
cnf(i_0_297,hypothesis,
esk32_0 != sz00,
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_298,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[m__2673]),
[final] ).
cnf(i_0_299,hypothesis,
xu != sz00,
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_300,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mUnNeZr]),
[final] ).
cnf(i_0_301,axiom,
X1 = X1 ).
cnf(i_0_302,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_303,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_304,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_305,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_306,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_307,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_308,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_309,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_310,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_311,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_312,axiom,
( X1 != X2
| slsdtgt0(X1) = slsdtgt0(X2) ) ).
cnf(i_0_313,axiom,
( X1 != X2
| esk15_2(X1,X3) = esk15_2(X2,X3) ) ).
cnf(i_0_314,axiom,
( X1 != X2
| esk15_2(X3,X1) = esk15_2(X3,X2) ) ).
cnf(i_0_315,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_316,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_317,axiom,
( X1 != X2
| sdtpldt1(X1,X3) = sdtpldt1(X2,X3) ) ).
cnf(i_0_318,axiom,
( X1 != X2
| sdtpldt1(X3,X1) = sdtpldt1(X3,X2) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| sdtasasdt0(X1,X3) = sdtasasdt0(X2,X3) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| sdtasasdt0(X3,X1) = sdtasasdt0(X3,X2) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| ~ misRelativelyPrime0(X1,X3)
| misRelativelyPrime0(X2,X3) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| ~ misRelativelyPrime0(X3,X1)
| misRelativelyPrime0(X3,X2) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X4)
| sdteqdtlpzmzozddtrp0(X2,X3,X4) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X1,X4)
| sdteqdtlpzmzozddtrp0(X3,X2,X4) ) ).
cnf(i_0_329,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X4,X1)
| sdteqdtlpzmzozddtrp0(X3,X4,X2) ) ).
cnf(i_0_330,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_331,axiom,
( X1 != X2
| ~ aIdeal0(X1)
| aIdeal0(X2) ) ).
cnf(i_0_332,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X1,X3,X4)
| aGcdOfAnd0(X2,X3,X4) ) ).
cnf(i_0_333,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X3,X1,X4)
| aGcdOfAnd0(X3,X2,X4) ) ).
cnf(i_0_334,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X3,X4,X1)
| aGcdOfAnd0(X3,X4,X2) ) ).
cnf(i_0_335,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_336,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_337,axiom,
( X1 != X2
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X2,X3) ) ).
cnf(i_0_338,axiom,
( X1 != X2
| ~ aDivisorOf0(X3,X1)
| aDivisorOf0(X3,X2) ) ).
cnf(i_0_339,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_340,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_497,plain,
aDivisorOf0(xu,sdtasdt0(xc,esk21_0)),
inference(scs_inference,[],[i_0_369,i_0_467,i_0_430,i_0_474,i_0_297,i_0_292,i_0_248,i_0_396,i_0_255,i_0_273,i_0_372,i_0_302,i_0_344,i_0_345,i_0_336,i_0_303,i_0_142,i_0_183]) ).
cnf(i_0_499,plain,
doDivides0(xa,sz00),
inference(scs_inference,[],[i_0_369,i_0_467,i_0_430,i_0_474,i_0_297,i_0_292,i_0_293,i_0_248,i_0_396,i_0_285,i_0_295,i_0_255,i_0_273,i_0_372,i_0_302,i_0_344,i_0_345,i_0_336,i_0_303,i_0_142,i_0_183,i_0_174]) ).
cnf(i_0_501,plain,
esk21_0 != esk22_0,
inference(scs_inference,[],[i_0_369,i_0_467,i_0_430,i_0_474,i_0_297,i_0_292,i_0_293,i_0_248,i_0_396,i_0_285,i_0_295,i_0_255,i_0_273,i_0_372,i_0_302,i_0_344,i_0_345,i_0_336,i_0_303,i_0_142,i_0_183,i_0_174,i_0_310]) ).
cnf(i_0_519,plain,
~ aGcdOfAnd0(xu,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_422,i_0_460,i_0_489,i_0_292,i_0_257,i_0_302,i_0_344,i_0_345,i_0_333]) ).
cnf(i_0_520,plain,
~ aDivisorOf0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_422,i_0_408,i_0_460,i_0_489,i_0_292,i_0_257,i_0_302,i_0_344,i_0_345,i_0_333,i_0_338]) ).
cnf(i_0_521,plain,
~ aGcdOfAnd0(xu,xb,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_422,i_0_408,i_0_460,i_0_489,i_0_292,i_0_410,i_0_257,i_0_302,i_0_344,i_0_345,i_0_333,i_0_338,i_0_334]) ).
cnf(i_0_522,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_422,i_0_408,i_0_460,i_0_489,i_0_292,i_0_410,i_0_257,i_0_275,i_0_302,i_0_344,i_0_345,i_0_333,i_0_338,i_0_334,i_0_332]) ).
cnf(i_0_523,plain,
~ doDivides0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_368,i_0_422,i_0_408,i_0_460,i_0_489,i_0_292,i_0_410,i_0_257,i_0_275,i_0_302,i_0_344,i_0_345,i_0_333,i_0_338,i_0_334,i_0_332,i_0_336]) ).
cnf(i_0_524,plain,
sdtpldt0(esk37_0,esk38_0) = sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),
inference(scs_inference,[],[i_0_368,i_0_422,i_0_408,i_0_460,i_0_489,i_0_292,i_0_410,i_0_257,i_0_180,i_0_275,i_0_302,i_0_344,i_0_345,i_0_333,i_0_338,i_0_334,i_0_332,i_0_336,i_0_303]) ).
cnf(i_0_525,plain,
sdtpldt0(esk44_0,sz00) != xr,
inference(scs_inference,[],[i_0_368,i_0_422,i_0_408,i_0_460,i_0_489,i_0_292,i_0_410,i_0_396,i_0_248,i_0_257,i_0_180,i_0_275,i_0_302,i_0_344,i_0_345,i_0_333,i_0_338,i_0_334,i_0_332,i_0_336,i_0_303,i_0_142]) ).
cnf(i_0_569,plain,
sz00 = sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)),
inference(scs_inference,[],[i_0_515,i_0_302]) ).
cnf(i_0_570,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),xb),
inference(scs_inference,[],[i_0_515,i_0_489,i_0_423,i_0_302,i_0_333]) ).
cnf(i_0_571,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),xb,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_515,i_0_489,i_0_423,i_0_302,i_0_333,i_0_334]) ).
cnf(i_0_588,plain,
xb = sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),
inference(scs_inference,[],[i_0_489,i_0_302]) ).
cnf(i_0_641,plain,
xu != sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)),
inference(scs_inference,[],[i_0_624,i_0_515,i_0_299,i_0_269,i_0_292,i_0_302,i_0_330,i_0_303]) ).
cnf(i_0_642,plain,
sdtpldt0(xa,sz00) != xr,
inference(scs_inference,[],[i_0_624,i_0_515,i_0_299,i_0_269,i_0_292,i_0_396,i_0_256,i_0_257,i_0_302,i_0_330,i_0_303,i_0_142]) ).
cnf(i_0_655,plain,
sz10 != sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)),
inference(scs_inference,[],[i_0_515,i_0_300,i_0_270,i_0_302,i_0_303]) ).
cnf(i_0_656,plain,
sdtpldt0(sz00,xb) != xr,
inference(scs_inference,[],[i_0_515,i_0_300,i_0_396,i_0_270,i_0_258,i_0_255,i_0_302,i_0_303,i_0_142]) ).
cnf(i_0_670,plain,
sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)) = sdtasdt0(xb,esk31_0),
inference(scs_inference,[],[i_0_654,i_0_489,i_0_292,i_0_272,i_0_302,i_0_330,i_0_303]) ).
cnf(i_0_671,plain,
sdtpldt0(esk37_0,sz00) != xr,
inference(scs_inference,[],[i_0_654,i_0_489,i_0_292,i_0_396,i_0_272,i_0_252,i_0_257,i_0_302,i_0_330,i_0_303,i_0_142]) ).
cnf(i_0_673,plain,
doDivides0(xb,sdtasdt0(xb,esk31_0)),
inference(scs_inference,[],[i_0_654,i_0_489,i_0_491,i_0_292,i_0_396,i_0_272,i_0_252,i_0_257,i_0_302,i_0_330,i_0_303,i_0_142,i_0_174]) ).
cnf(i_0_1066,plain,
~ aGcdOfAnd0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),esk28_0,sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_833,i_0_1065,i_0_332]) ).
cnf(i_0_1067,plain,
~ aGcdOfAnd0(xu,esk28_0,xb),
inference(scs_inference,[],[i_0_833,i_0_624,i_0_1065,i_0_332,i_0_334]) ).
cnf(i_0_510,plain,
aSet0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(equality_inference,[],[506]) ).
cnf(i_0_511,plain,
~ aGcdOfAnd0(xu,xb,sdtasdt0(xc,esk22_0)),
inference(equality_inference,[],[507]) ).
cnf(i_0_512,plain,
~ doDivides0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xc,esk22_0)),
inference(equality_inference,[],[508]) ).
cnf(i_0_513,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),xb,sdtasdt0(xc,esk22_0)),
inference(equality_inference,[],[509]) ).
cnf(i_0_527,plain,
aDivisorOf0(xa,sz00),
inference(scs_inference,[],[i_0_368,i_0_422,i_0_408,i_0_460,i_0_489,i_0_499,i_0_292,i_0_293,i_0_410,i_0_396,i_0_248,i_0_257,i_0_295,i_0_180,i_0_275,i_0_302,i_0_344,i_0_345,i_0_333,i_0_338,i_0_334,i_0_332,i_0_336,i_0_303,i_0_142,i_0_183]) ).
cnf(i_0_529,plain,
doDivides0(xb,sz00),
inference(scs_inference,[],[i_0_368,i_0_422,i_0_408,i_0_460,i_0_489,i_0_499,i_0_292,i_0_293,i_0_410,i_0_396,i_0_248,i_0_283,i_0_257,i_0_295,i_0_180,i_0_271,i_0_275,i_0_302,i_0_344,i_0_345,i_0_333,i_0_338,i_0_334,i_0_332,i_0_336,i_0_303,i_0_142,i_0_183,i_0_174]) ).
cnf(i_0_544,plain,
sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)) = sdtpldt0(esk37_0,esk38_0),
inference(scs_inference,[],[i_0_524,i_0_302]) ).
cnf(i_0_545,plain,
sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),esk43_0)) = esk43_0,
inference(scs_inference,[],[i_0_524,i_0_292,i_0_249,i_0_302,i_0_344]) ).
cnf(i_0_547,plain,
aElement0(esk18_3(xb,slsdtgt0(xb),esk43_0)),
inference(scs_inference,[],[i_0_524,i_0_292,i_0_249,i_0_302,i_0_344,i_0_345]) ).
cnf(i_0_549,plain,
~ aGcdOfAnd0(xu,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),xb),
inference(scs_inference,[],[i_0_524,i_0_489,i_0_292,i_0_410,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333]) ).
cnf(i_0_550,plain,
~ aGcdOfAnd0(xu,sdtasdt0(xc,esk22_0),sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_524,i_0_489,i_0_292,i_0_410,i_0_424,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334]) ).
cnf(i_0_551,plain,
~ aDivisorOf0(xu,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_524,i_0_489,i_0_292,i_0_394,i_0_410,i_0_424,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334,i_0_338]) ).
cnf(i_0_552,plain,
~ doDivides0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),xb),
inference(scs_inference,[],[i_0_524,i_0_368,i_0_489,i_0_292,i_0_394,i_0_410,i_0_424,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334,i_0_338,i_0_335]) ).
cnf(i_0_553,plain,
~ aDivisorOf0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),xb),
inference(scs_inference,[],[i_0_524,i_0_368,i_0_408,i_0_489,i_0_292,i_0_394,i_0_410,i_0_424,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337]) ).
cnf(i_0_554,plain,
aElement0(sdtpldt0(esk37_0,esk38_0)),
inference(scs_inference,[],[i_0_524,i_0_368,i_0_408,i_0_438,i_0_489,i_0_292,i_0_394,i_0_410,i_0_424,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330]) ).
cnf(i_0_555,plain,
~ aGcdOfAnd0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),xb,sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_524,i_0_368,i_0_408,i_0_439,i_0_438,i_0_489,i_0_292,i_0_394,i_0_410,i_0_424,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332]) ).
cnf(i_0_556,plain,
~ doDivides0(xu,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_524,i_0_368,i_0_408,i_0_439,i_0_438,i_0_489,i_0_292,i_0_394,i_0_244,i_0_410,i_0_424,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332,i_0_336]) ).
cnf(i_0_557,plain,
xr != sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)),
inference(scs_inference,[],[i_0_524,i_0_368,i_0_408,i_0_439,i_0_438,i_0_515,i_0_298,i_0_489,i_0_292,i_0_394,i_0_244,i_0_410,i_0_424,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332,i_0_336,i_0_303]) ).
cnf(i_0_558,plain,
sdtpldt0(xa,esk43_0) != xr,
inference(scs_inference,[],[i_0_524,i_0_368,i_0_408,i_0_439,i_0_438,i_0_515,i_0_298,i_0_489,i_0_292,i_0_396,i_0_394,i_0_244,i_0_410,i_0_424,i_0_256,i_0_249,i_0_302,i_0_344,i_0_345,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332,i_0_336,i_0_303,i_0_142]) ).
cnf(i_0_684,plain,
sdtasdt0(xb,esk31_0) = sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),
inference(scs_inference,[],[i_0_670,i_0_302]) ).
cnf(i_0_685,plain,
sdtasdt0(xc,esk21_0) = sdtasdt0(xa,esk29_0),
inference(scs_inference,[],[i_0_670,i_0_668,i_0_269,i_0_302,i_0_303]) ).
cnf(i_0_686,plain,
sdtpldt0(xa,xb) != xr,
inference(scs_inference,[],[i_0_670,i_0_668,i_0_269,i_0_396,i_0_256,i_0_255,i_0_302,i_0_303,i_0_142]) ).
cnf(i_0_945,plain,
~ aGcdOfAnd0(xu,sdtpldt0(sdtasdt0(xq,xu),xr),xb),
inference(scs_inference,[],[i_0_825,i_0_410,i_0_570,i_0_334,i_0_333]) ).
cnf(i_0_1074,plain,
~ aGcdOfAnd0(xu,esk28_0,sdtasdt0(xc,esk22_0)),
inference(equality_inference,[],[1068]) ).
cnf(i_0_1075,plain,
aElement0(esk29_0),
inference(equality_inference,[],[1069]) ).
cnf(i_0_1076,plain,
~ aGcdOfAnd0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),esk28_0,xb),
inference(scs_inference,[],[i_0_833,i_0_1067,i_0_332]) ).
cnf(i_0_1077,plain,
~ aGcdOfAnd0(xu,esk28_0,sdtpldt0(sdtasdt0(xq,xu),xr)),
inference(scs_inference,[],[i_0_833,i_0_825,i_0_1067,i_0_332,i_0_334]) ).
cnf(i_0_1106,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),esk28_0,sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_524,i_0_1066,i_0_332]) ).
cnf(i_0_540,plain,
aElement0(esk18_3(xb,slsdtgt0(xb),xb)),
inference(equality_inference,[],[535]) ).
cnf(i_0_541,plain,
~ aDivisorOf0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(equality_inference,[],[536]) ).
cnf(i_0_542,plain,
~ doDivides0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(equality_inference,[],[537]) ).
cnf(i_0_572,plain,
xa != sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),
inference(scs_inference,[],[i_0_515,i_0_489,i_0_551,i_0_376,i_0_423,i_0_302,i_0_333,i_0_334,i_0_338]) ).
cnf(i_0_573,plain,
~ doDivides0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_544,i_0_515,i_0_407,i_0_489,i_0_551,i_0_376,i_0_423,i_0_302,i_0_333,i_0_334,i_0_338,i_0_335]) ).
cnf(i_0_574,plain,
~ aDivisorOf0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_544,i_0_515,i_0_442,i_0_407,i_0_489,i_0_551,i_0_376,i_0_423,i_0_302,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337]) ).
cnf(i_0_575,plain,
aElement0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00))),
inference(scs_inference,[],[i_0_544,i_0_515,i_0_442,i_0_407,i_0_489,i_0_551,i_0_376,i_0_423,i_0_295,i_0_302,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330]) ).
cnf(i_0_576,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xc,esk22_0),sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_544,i_0_515,i_0_442,i_0_407,i_0_489,i_0_550,i_0_551,i_0_376,i_0_423,i_0_295,i_0_275,i_0_302,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332]) ).
cnf(i_0_577,plain,
sdtasdt0(xc,esk21_0) != sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb)),
inference(scs_inference,[],[i_0_544,i_0_515,i_0_442,i_0_407,i_0_489,i_0_550,i_0_551,i_0_556,i_0_474,i_0_376,i_0_423,i_0_295,i_0_275,i_0_302,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332,i_0_336]) ).
cnf(i_0_578,plain,
xb != sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),
inference(scs_inference,[],[i_0_544,i_0_515,i_0_442,i_0_407,i_0_489,i_0_406,i_0_550,i_0_551,i_0_556,i_0_474,i_0_376,i_0_423,i_0_295,i_0_275,i_0_302,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332,i_0_336,i_0_303]) ).
cnf(i_0_579,plain,
sdtpldt0(sz00,esk45_0) != xr,
inference(scs_inference,[],[i_0_544,i_0_515,i_0_442,i_0_407,i_0_489,i_0_406,i_0_550,i_0_551,i_0_556,i_0_474,i_0_396,i_0_376,i_0_423,i_0_295,i_0_258,i_0_247,i_0_275,i_0_302,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332,i_0_336,i_0_303,i_0_142]) ).
cnf(i_0_581,plain,
sdtpldt0(esk44_0,esk45_0) != xr,
inference(scs_inference,[],[i_0_544,i_0_515,i_0_442,i_0_407,i_0_489,i_0_406,i_0_550,i_0_551,i_0_556,i_0_474,i_0_298,i_0_358,i_0_396,i_0_376,i_0_248,i_0_423,i_0_295,i_0_258,i_0_247,i_0_275,i_0_302,i_0_333,i_0_334,i_0_338,i_0_335,i_0_337,i_0_330,i_0_332,i_0_336,i_0_303,i_0_142,i_0_130]) ).
cnf(i_0_591,plain,
xc != sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),
inference(scs_inference,[],[i_0_544,i_0_489,i_0_441,i_0_571,i_0_555,i_0_302,i_0_333,i_0_332,i_0_303]) ).
cnf(i_0_592,plain,
sdtpldt0(esk42_0,esk38_0) != xr,
inference(scs_inference,[],[i_0_544,i_0_489,i_0_441,i_0_571,i_0_396,i_0_555,i_0_250,i_0_251,i_0_302,i_0_333,i_0_332,i_0_303,i_0_142]) ).
cnf(i_0_596,plain,
~ aGcdOfAnd0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),xb,xb),
inference(scs_inference,[],[i_0_544,i_0_405,i_0_489,i_0_441,i_0_571,i_0_396,i_0_555,i_0_250,i_0_251,i_0_302,i_0_333,i_0_332,i_0_303,i_0_142,i_0_345,i_0_334]) ).
cnf(i_0_606,plain,
esk43_0 = sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),esk43_0)),
inference(scs_inference,[],[i_0_545,i_0_302]) ).
cnf(i_0_607,plain,
aElement0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_588,i_0_545,i_0_292,i_0_302,i_0_330]) ).
cnf(i_0_695,plain,
sdtasdt0(xa,esk29_0) = sdtasdt0(xc,esk21_0),
inference(scs_inference,[],[i_0_685,i_0_302]) ).
cnf(i_0_786,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk31_0),xb),
inference(scs_inference,[],[i_0_684,i_0_772,i_0_292,i_0_570,i_0_276,i_0_302,i_0_330,i_0_333]) ).
cnf(i_0_1085,plain,
~ aGcdOfAnd0(xu,esk28_0,xb),
inference(equality_inference,[],[1078]) ).
cnf(i_0_1086,plain,
aElement0(esk41_0),
inference(equality_inference,[],[1079]) ).
cnf(i_0_1096,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),esk28_0,xb),
inference(scs_inference,[],[i_0_524,i_0_1076,i_0_332]) ).
cnf(i_0_1097,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),esk28_0,sdtpldt0(sdtasdt0(xq,xu),xr)),
inference(scs_inference,[],[i_0_524,i_0_825,i_0_1076,i_0_332,i_0_334]) ).
cnf(i_0_1117,plain,
~ aGcdOfAnd0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),esk28_0,sdtasdt0(xc,esk22_0)),
inference(equality_inference,[],[1113]) ).
cnf(i_0_1118,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),esk28_0,sdtasdt0(xc,esk22_0)),
inference(equality_inference,[],[1114]) ).
cnf(i_0_609,plain,
~ aGcdOfAnd0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),sdtasdt0(xc,esk22_0),xb),
inference(scs_inference,[],[i_0_544,i_0_588,i_0_489,i_0_545,i_0_596,i_0_292,i_0_443,i_0_302,i_0_330,i_0_333,i_0_332]) ).
cnf(i_0_610,plain,
sdtasdt0(xc,esk21_0) != xb,
inference(scs_inference,[],[i_0_544,i_0_588,i_0_489,i_0_577,i_0_545,i_0_596,i_0_292,i_0_443,i_0_302,i_0_330,i_0_333,i_0_332,i_0_303]) ).
cnf(i_0_611,plain,
sdtpldt0(esk37_0,esk36_0) != xr,
inference(scs_inference,[],[i_0_544,i_0_588,i_0_489,i_0_577,i_0_545,i_0_596,i_0_292,i_0_396,i_0_443,i_0_252,i_0_253,i_0_302,i_0_330,i_0_333,i_0_332,i_0_303,i_0_142]) ).
cnf(i_0_626,plain,
xa != xb,
inference(scs_inference,[],[i_0_544,i_0_588,i_0_572,i_0_268,i_0_465,i_0_302,i_0_332,i_0_303]) ).
cnf(i_0_627,plain,
sdtpldt0(esk35_0,xb) != xr,
inference(scs_inference,[],[i_0_544,i_0_588,i_0_572,i_0_268,i_0_396,i_0_254,i_0_465,i_0_255,i_0_302,i_0_332,i_0_303,i_0_142]) ).
cnf(i_0_688,plain,
doDivides0(xb,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),xb))),
inference(scs_inference,[],[i_0_670,i_0_668,i_0_607,i_0_269,i_0_292,i_0_396,i_0_256,i_0_255,i_0_282,i_0_302,i_0_303,i_0_142,i_0_174]) ).
cnf(i_0_696,plain,
~ aDivisorOf0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),sdtasdt0(xb,esk31_0)),
inference(scs_inference,[],[i_0_684,i_0_685,i_0_560,i_0_302,i_0_338]) ).
cnf(i_0_697,plain,
~ aDivisorOf0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk31_0)),
inference(scs_inference,[],[i_0_684,i_0_685,i_0_524,i_0_560,i_0_302,i_0_338,i_0_337]) ).
cnf(i_0_698,plain,
~ doDivides0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),sdtasdt0(xb,esk31_0)),
inference(scs_inference,[],[i_0_684,i_0_685,i_0_524,i_0_560,i_0_561,i_0_302,i_0_338,i_0_337,i_0_336]) ).
cnf(i_0_699,plain,
~ aGcdOfAnd0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk31_0),sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_684,i_0_685,i_0_524,i_0_560,i_0_561,i_0_522,i_0_302,i_0_338,i_0_337,i_0_336,i_0_333]) ).
cnf(i_0_700,plain,
~ aGcdOfAnd0(xu,sdtasdt0(xc,esk22_0),sdtasdt0(xb,esk31_0)),
inference(scs_inference,[],[i_0_684,i_0_685,i_0_524,i_0_550,i_0_560,i_0_561,i_0_522,i_0_302,i_0_338,i_0_337,i_0_336,i_0_333,i_0_334]) ).
cnf(i_0_702,plain,
sdtasdt0(xc,esk21_0) != sdtasdt0(xb,esk31_0),
inference(scs_inference,[],[i_0_544,i_0_684,i_0_685,i_0_524,i_0_550,i_0_560,i_0_561,i_0_577,i_0_522,i_0_302,i_0_338,i_0_337,i_0_336,i_0_333,i_0_334,i_0_332,i_0_303]) ).
cnf(i_0_705,plain,
sdtpldt0(esk35_0,sz00) != xr,
inference(scs_inference,[],[i_0_544,i_0_684,i_0_685,i_0_524,i_0_550,i_0_560,i_0_561,i_0_669,i_0_577,i_0_396,i_0_522,i_0_254,i_0_257,i_0_302,i_0_338,i_0_337,i_0_336,i_0_333,i_0_334,i_0_332,i_0_303,i_0_132,i_0_142]) ).
cnf(i_0_707,plain,
doDivides0(xa,sdtasdt0(xc,esk21_0)),
inference(scs_inference,[],[i_0_544,i_0_684,i_0_685,i_0_524,i_0_467,i_0_550,i_0_560,i_0_561,i_0_669,i_0_577,i_0_293,i_0_396,i_0_522,i_0_254,i_0_257,i_0_284,i_0_302,i_0_338,i_0_337,i_0_336,i_0_333,i_0_334,i_0_332,i_0_303,i_0_132,i_0_142,i_0_174]) ).
cnf(i_0_711,plain,
~ doDivides0(sdtpldt0(esk37_0,esk38_0),sdtasdt0(xb,esk31_0)),
inference(scs_inference,[],[i_0_544,i_0_684,i_0_685,i_0_524,i_0_467,i_0_550,i_0_560,i_0_561,i_0_669,i_0_577,i_0_293,i_0_396,i_0_522,i_0_254,i_0_257,i_0_284,i_0_302,i_0_338,i_0_337,i_0_336,i_0_333,i_0_334,i_0_332,i_0_303,i_0_132,i_0_142,i_0_174,i_0_345,i_0_335]) ).
cnf(i_0_836,plain,
~ aGcdOfAnd0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),xb,sdtpldt0(sdtasdt0(xq,xu),xr)),
inference(scs_inference,[],[i_0_825,i_0_368,i_0_408,i_0_596,i_0_180,i_0_302,i_0_338,i_0_336,i_0_334]) ).
cnf(i_0_837,plain,
~ aGcdOfAnd0(xu,sdtpldt0(sdtasdt0(xq,xu),xr),sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_825,i_0_368,i_0_408,i_0_422,i_0_596,i_0_180,i_0_302,i_0_338,i_0_336,i_0_334,i_0_333]) ).
cnf(i_0_1095,plain,
~ aGcdOfAnd0(xu,esk28_0,sdtpldt0(sdtasdt0(xq,xu),xr)),
inference(equality_inference,[],[1088]) ).
cnf(i_0_1105,plain,
~ aGcdOfAnd0(sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),esk28_0,xb),
inference(equality_inference,[],[1098]) ).
cnf(i_0_1533,plain,
aIdeal0(slsdtgt0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)))),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245]) ).
cnf(i_0_1535,plain,
aElement0(smndt0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)))),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246]) ).
cnf(i_0_1537,plain,
aSet0(slsdtgt0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)))),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356]) ).
cnf(i_0_1539,plain,
sdtasdt0(sdtasdt0(xa,esk28_0),sz10) = sdtasdt0(xa,esk28_0),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235]) ).
cnf(i_0_1541,plain,
sdtpldt0(sdtasdt0(xa,esk28_0),sz00) = sdtasdt0(xa,esk28_0),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236]) ).
cnf(i_0_1543,plain,
sdtasdt0(xa,esk28_0) = sdtasdt0(sz10,sdtasdt0(xa,esk28_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237]) ).
cnf(i_0_1545,plain,
sdtasdt0(xa,esk28_0) = sdtpldt0(sz00,sdtasdt0(xa,esk28_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238]) ).
cnf(i_0_1547,plain,
aElement0(esk34_1(esk43_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216]) ).
cnf(i_0_1549,plain,
aElement0(esk33_1(esk35_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217]) ).
cnf(i_0_1551,plain,
aElement0(esk25_1(esk43_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218]) ).
cnf(i_0_1553,plain,
aElement0(esk24_1(esk35_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219]) ).
cnf(i_0_1555,plain,
sdtasdt0(xu,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00))) != xb,
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233]) ).
cnf(i_0_1557,plain,
sdtasdt0(sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00)),sz00) = sz00,
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241]) ).
cnf(i_0_1559,plain,
sz00 = sdtasdt0(sz00,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00))),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242]) ).
cnf(i_0_1561,plain,
sdtpldt0(sdtasdt0(xa,esk28_0),smndt0(sdtasdt0(xa,esk28_0))) = sz00,
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231]) ).
cnf(i_0_1563,plain,
sz00 = sdtpldt0(smndt0(sdtasdt0(xa,esk28_0)),sdtasdt0(xa,esk28_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232]) ).
cnf(i_0_1565,plain,
aElementOf0(esk27_1(xu),slsdtgt0(xb)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208]) ).
cnf(i_0_1567,plain,
aElementOf0(esk26_1(xu),slsdtgt0(xa)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209]) ).
cnf(i_0_1569,plain,
aElementOf0(sdtasdt0(xb,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00))),slsdtgt0(xb)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352]) ).
cnf(i_0_1571,plain,
aElementOf0(sdtasdt0(xa,sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),sz00))),slsdtgt0(xa)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353]) ).
cnf(i_0_1573,plain,
sdtasdt0(smndt0(sz10),sdtasdt0(xa,esk28_0)) = smndt0(sdtasdt0(xa,esk28_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229]) ).
cnf(i_0_1575,plain,
smndt0(sdtasdt0(xa,esk28_0)) = sdtasdt0(sdtasdt0(xa,esk28_0),smndt0(sz10)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230]) ).
cnf(i_0_1577,plain,
sdtpldt0(esk26_1(xu),esk27_1(xu)) = xu,
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188]) ).
cnf(i_0_1579,plain,
sdtasdt0(xb,esk34_1(esk43_0)) = esk43_0,
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189]) ).
cnf(i_0_1581,plain,
sdtasdt0(xb,esk25_1(esk43_0)) = esk43_0,
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190]) ).
cnf(i_0_1583,plain,
sdtasdt0(xa,esk33_1(esk35_0)) = esk35_0,
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191]) ).
cnf(i_0_1585,plain,
sdtasdt0(xa,esk24_1(esk35_0)) = esk35_0,
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192]) ).
cnf(i_0_1587,plain,
sdtasdt0(X1,smndt0(sdtasdt0(xq,xu))) = sdtasdt0(X1,sdtpldt0(esk42_0,esk43_0)),
inference(scs_inference,[],[i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310]) ).
cnf(i_0_1588,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) != xr,
inference(scs_inference,[],[i_0_141,i_0_817,i_0_575,i_0_1308,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310,i_0_302]) ).
cnf(i_0_1589,plain,
aIdeal0(sdtasasdt0(xI,xI)),
inference(scs_inference,[],[i_0_141,i_0_817,i_0_575,i_0_1308,i_0_277,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310,i_0_302,i_0_203]) ).
cnf(i_0_1591,plain,
aIdeal0(sdtpldt1(xI,xI)),
inference(scs_inference,[],[i_0_141,i_0_817,i_0_575,i_0_1308,i_0_277,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310,i_0_302,i_0_203,i_0_204]) ).
cnf(i_0_1593,plain,
aElement0(sdtasdt0(sdtasdt0(xa,esk28_0),sdtasdt0(xa,esk28_0))),
inference(scs_inference,[],[i_0_141,i_0_817,i_0_575,i_0_1308,i_0_277,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310,i_0_302,i_0_203,i_0_204,i_0_205]) ).
cnf(i_0_1595,plain,
aElement0(sdtpldt0(sdtasdt0(xa,esk28_0),sdtasdt0(xa,esk28_0))),
inference(scs_inference,[],[i_0_141,i_0_817,i_0_575,i_0_1308,i_0_277,i_0_254,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310,i_0_302,i_0_203,i_0_204,i_0_205,i_0_206]) ).
cnf(i_0_1597,plain,
aSet0(slsdtgt0(smndt0(sdtasdt0(xq,xu)))),
inference(scs_inference,[],[i_0_141,i_0_817,i_0_575,i_0_1308,i_0_277,i_0_254,i_0_818,i_0_249,i_0_265,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310,i_0_302,i_0_203,i_0_204,i_0_205,i_0_206,i_0_240]) ).
cnf(i_0_1599,plain,
aSet0(sdtasasdt0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))),
inference(scs_inference,[],[i_0_141,i_0_817,i_0_575,i_0_1308,i_0_277,i_0_254,i_0_818,i_0_249,i_0_265,i_0_365,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310,i_0_302,i_0_203,i_0_204,i_0_205,i_0_206,i_0_240,i_0_354]) ).
cnf(i_0_1601,plain,
aSet0(sdtpldt1(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))),
inference(scs_inference,[],[i_0_141,i_0_817,i_0_575,i_0_1308,i_0_277,i_0_254,i_0_818,i_0_249,i_0_265,i_0_365,i_0_304,i_0_305,i_0_306,i_0_307,i_0_308,i_0_309,i_0_311,i_0_312,i_0_313,i_0_314,i_0_315,i_0_316,i_0_317,i_0_318,i_0_319,i_0_320,i_0_245,i_0_246,i_0_356,i_0_235,i_0_236,i_0_237,i_0_238,i_0_216,i_0_217,i_0_218,i_0_219,i_0_233,i_0_241,i_0_242,i_0_231,i_0_232,i_0_208,i_0_209,i_0_352,i_0_353,i_0_229,i_0_230,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_310,i_0_302,i_0_203,i_0_204,i_0_205,i_0_206,i_0_240,i_0_354,i_0_355]) ).
cnf(c_0_591,plain,
aElement0(sdtpldt0(esk37_0,esk38_0)),
i_0_554 ).
cnf(c_0_592,hypothesis,
sdtpldt0(esk37_0,esk38_0) = xu,
i_0_275 ).
cnf(c_0_593,hypothesis,
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb ),
i_0_233 ).
cnf(c_0_594,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
i_0_241 ).
cnf(c_0_595,plain,
aElement0(sz00),
i_0_295 ).
cnf(c_0_596,plain,
aElement0(xu),
inference(rw,[status(thm)],[c_0_591,c_0_592]) ).
cnf(c_0_597,plain,
( X1 = sz00
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != sz00 ),
i_0_215 ).
cnf(c_0_598,hypothesis,
sdtasdt0(xb,esk30_0) = sz00,
i_0_271 ).
cnf(c_0_599,hypothesis,
aElement0(esk30_0),
i_0_283 ).
cnf(c_0_600,hypothesis,
aElement0(xb),
i_0_292 ).
cnf(c_0_601,hypothesis,
xb != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_594]),c_0_595]),c_0_596])]) ).
cnf(c_0_602,hypothesis,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
i_0_227 ).
cnf(c_0_603,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_214 ).
cnf(c_0_604,hypothesis,
aElement0(xr),
i_0_288 ).
cnf(c_0_605,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
i_0_125 ).
cnf(c_0_606,hypothesis,
sdtasdt0(xb,esk31_0) = xb,
i_0_270 ).
cnf(c_0_607,hypothesis,
aElement0(esk31_0),
i_0_282 ).
cnf(c_0_608,hypothesis,
esk30_0 = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_598]),c_0_599]),c_0_600])]),c_0_601]) ).
cnf(c_0_609,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
i_0_137 ).
cnf(c_0_610,hypothesis,
( sdtpldt0(xr,sdtasdt0(xq,xu)) = xb
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_604])]) ).
cnf(c_0_611,hypothesis,
( aElementOf0(X1,slsdtgt0(xb))
| ~ aElement0(X2)
| sdtasdt0(xb,X2) != X1 ),
i_0_195 ).
cnf(c_0_612,hypothesis,
( sdtasdt0(xb,sdtpldt0(esk31_0,X1)) = sdtpldt0(xb,sdtasdt0(xb,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_606]),c_0_607]),c_0_600])]) ).
cnf(c_0_613,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
i_0_236 ).
cnf(c_0_614,hypothesis,
sdtasdt0(xb,sz00) = sz00,
inference(rw,[status(thm)],[c_0_598,c_0_608]) ).
cnf(c_0_615,plain,
( sdtpldt0(xr,sdtpldt0(sdtasdt0(xq,xu),X1)) = sdtpldt0(xb,X1)
| ~ aElement0(sdtasdt0(xq,xu))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_610]),c_0_604])]) ).
cnf(c_0_616,hypothesis,
( aElementOf0(sdtasdt0(xb,X1),slsdtgt0(xb))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_611]) ).
cnf(c_0_617,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
i_0_230 ).
cnf(c_0_618,plain,
sdtpldt0(xb,sz00) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_613]),c_0_606]),c_0_614]),c_0_595]),c_0_607])]) ).
cnf(c_0_619,hypothesis,
( sdtpldt0(xr,xb) = sdtpldt0(xb,xr)
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_602]),c_0_604])]) ).
cnf(c_0_620,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_205 ).
cnf(c_0_621,hypothesis,
aElement0(xq),
i_0_289 ).
cnf(c_0_622,hypothesis,
( sdtasdt0(xb,esk34_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
i_0_189 ).
cnf(c_0_623,plain,
( aElementOf0(smndt0(xb),slsdtgt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_617]),c_0_600])]) ).
cnf(c_0_624,hypothesis,
( aElement0(esk34_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
i_0_216 ).
cnf(c_0_625,plain,
( sdtpldt0(xb,sdtpldt0(sz00,X1)) = sdtpldt0(xb,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_618]),c_0_595]),c_0_600])]) ).
cnf(c_0_626,plain,
sdtpldt0(xr,xb) = sdtpldt0(xb,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_620]),c_0_596]),c_0_621])]) ).
cnf(c_0_627,hypothesis,
( sdtasdt0(xb,esk34_1(smndt0(xb))) = smndt0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_622,c_0_623]) ).
cnf(c_0_628,hypothesis,
( aElement0(esk34_1(smndt0(xb)))
| ~ aElement0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_624,c_0_623]) ).
cnf(c_0_629,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
i_0_206 ).
cnf(c_0_630,plain,
( sdtpldt0(xb,sdtpldt0(X1,sz00)) = sdtpldt0(xb,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_603]),c_0_595])]) ).
cnf(c_0_631,plain,
( sdtpldt0(sdtpldt0(xb,xr),X1) = sdtpldt0(xr,sdtpldt0(xb,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_626]),c_0_600]),c_0_604])]) ).
cnf(c_0_632,plain,
( aElement0(smndt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_627]),c_0_600])]),c_0_628]) ).
cnf(c_0_633,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
i_0_246 ).
cnf(c_0_634,plain,
aElement0(sz10),
i_0_294 ).
cnf(c_0_635,plain,
( aElement0(sdtpldt0(xb,X1))
| ~ aElement0(sdtpldt0(X1,sz00))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_630]),c_0_600])]) ).
cnf(c_0_636,plain,
( sdtpldt0(xr,sdtpldt0(xb,X1)) = sdtpldt0(xb,sdtpldt0(xr,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_631]),c_0_604]),c_0_600])]) ).
cnf(c_0_637,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
i_0_231 ).
cnf(c_0_638,plain,
aElement0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_633]),c_0_634])]) ).
cnf(c_0_639,plain,
( aElement0(sdtpldt0(xb,X1))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_635,c_0_613]) ).
cnf(c_0_640,plain,
sdtpldt0(xb,sdtpldt0(xr,smndt0(xb))) = sdtpldt0(xr,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_637]),c_0_638]),c_0_600])]) ).
cnf(c_0_641,hypothesis,
( sdtpldt0(sdtasdt0(xq,xu),sdtpldt0(xr,X1)) = sdtpldt0(xb,X1)
| ~ aElement0(sdtasdt0(xq,xu))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_602]),c_0_604])]) ).
cnf(c_0_642,plain,
( aElement0(sdtpldt0(xr,sz00))
| ~ aElement0(sdtpldt0(xr,smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_639,c_0_640]) ).
cnf(c_0_643,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
i_0_232 ).
cnf(c_0_644,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
i_0_136 ).
cnf(c_0_645,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
i_0_237 ).
cnf(c_0_646,plain,
( sdtpldt0(sdtasdt0(xq,xu),sz00) = sdtpldt0(xb,smndt0(xr))
| ~ aElement0(sdtasdt0(xq,xu))
| ~ aElement0(smndt0(xr)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_637]),c_0_604])]) ).
cnf(c_0_647,plain,
sdtpldt0(xb,sdtpldt0(xr,sz00)) = sdtpldt0(xb,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_613]),c_0_626]),c_0_595]),c_0_600])]) ).
cnf(c_0_648,plain,
aElement0(sdtpldt0(xr,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_629]),c_0_638]),c_0_604])]) ).
cnf(c_0_649,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_643]),c_0_633]) ).
cnf(c_0_650,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_645]),c_0_634])]) ).
cnf(c_0_651,hypothesis,
sdtasdt0(xc,esk22_0) = xb,
i_0_268 ).
cnf(c_0_652,hypothesis,
aElement0(esk22_0),
i_0_286 ).
cnf(c_0_653,hypothesis,
aElement0(xc),
i_0_290 ).
cnf(c_0_654,plain,
( sdtpldt0(xb,smndt0(xr)) = sdtasdt0(xq,xu)
| ~ aElement0(sdtasdt0(xq,xu))
| ~ aElement0(smndt0(xr)) ),
inference(spm,[status(thm)],[c_0_613,c_0_646]) ).
cnf(c_0_655,plain,
sdtpldt0(xb,sdtpldt0(sz00,xr)) = sdtpldt0(xb,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_603]),c_0_595]),c_0_604])]) ).
cnf(c_0_656,plain,
aElement0(sdtpldt0(sz00,xr)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_603]),c_0_595]),c_0_604])]) ).
cnf(c_0_657,plain,
sdtpldt0(smndt0(xb),sdtpldt0(xb,xr)) = sdtpldt0(sz00,sdtpldt0(xr,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_647]),c_0_648]),c_0_600])]) ).
cnf(c_0_658,plain,
( sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz10,X1),X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_645]),c_0_634])]) ).
cnf(c_0_659,hypothesis,
sdtasdt0(sz10,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_650,c_0_651]),c_0_652]),c_0_653])]) ).
cnf(c_0_660,plain,
( sdtpldt0(xb,smndt0(xr)) = sdtasdt0(xq,xu)
| ~ aElement0(smndt0(xr)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_620]),c_0_596]),c_0_621])]) ).
cnf(c_0_661,plain,
( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_609]),c_0_595])]),c_0_629]) ).
cnf(c_0_662,plain,
sdtpldt0(sz00,sdtpldt0(xr,sz00)) = sdtpldt0(sz00,sdtpldt0(sz00,xr)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_655]),c_0_656]),c_0_600])]),c_0_657]) ).
cnf(c_0_663,hypothesis,
( sdtpldt0(sdtasdt0(sz10,sdtasdt0(xq,xu)),xr) = xb
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_602]),c_0_659]),c_0_604])]) ).
cnf(c_0_664,plain,
( sdtasdt0(sz10,sdtasdt0(xq,xu)) = sdtpldt0(xb,smndt0(xr))
| ~ aElement0(smndt0(xr)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_660]),c_0_659]),c_0_600])]) ).
cnf(c_0_665,plain,
( aElement0(sdtasdt0(xq,xu))
| ~ aElement0(smndt0(xr)) ),
inference(spm,[status(thm)],[c_0_639,c_0_660]) ).
cnf(c_0_666,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xr)) = sdtpldt0(sz00,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_662]),c_0_604]),c_0_595])]) ).
cnf(c_0_667,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
i_0_238 ).
cnf(c_0_668,plain,
( sdtpldt0(sdtpldt0(xb,smndt0(xr)),xr) = xb
| ~ aElement0(smndt0(xr)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_664]),c_0_665]) ).
cnf(c_0_669,plain,
sdtpldt0(sz00,xr) = xr,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_666,c_0_667]),c_0_604])]) ).
cnf(c_0_670,negated_conjecture,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
i_0_141 ).
cnf(c_0_671,hypothesis,
sdtpldt0(esk42_0,esk43_0) = smndt0(sdtasdt0(xq,xu)),
i_0_224 ).
cnf(c_0_672,plain,
( sdtpldt0(smndt0(sdtpldt0(xb,smndt0(xr))),xb) = xr
| ~ aElement0(smndt0(xr)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_668]),c_0_669]),c_0_604])]),c_0_639]) ).
cnf(c_0_673,negated_conjecture,
sdtpldt0(sdtpldt0(esk42_0,esk43_0),xb) != xr,
inference(rw,[status(thm)],[c_0_670,c_0_671]) ).
cnf(c_0_674,plain,
~ aElement0(smndt0(xr)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_660]),c_0_671]),c_0_673]) ).
cnf(c_0_675,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_633]),c_0_604])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG122+4 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:51:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 191.54/107.15 % Version : CSE_E---1.7
% 191.54/107.15 % Problem : theBenchmark.p
% 191.54/107.15 % SZS status Theorem for theBenchmark.p
% 191.54/107.15 % SZS output start CNFRefutation
% See solution above
% 201.72/117.35 % Total time : 106.027s
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