%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG124+4 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:05:25 PM UTC 2026
% Result : Theorem 0.32s 5.62s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 103)
% 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(mChineseRemainder,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(X3,sdtpldt1(X1,X2)) )
=> ! [X3,X4] :
( ( aElement0(X3)
& aElement0(X4) )
=> ? [X5] :
( aElement0(X5)
& sdteqdtlpzmzozddtrp0(X5,X3,X1)
& sdteqdtlpzmzozddtrp0(X5,X4,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mChineseRemainder) ).
fof(mDefSInt,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtasasdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSInt) ).
fof(mDefGCD,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ! [X3] :
( aGcdOfAnd0(X3,X1,X2)
<=> ( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X2)
& ! [X4] :
( ( aDivisorOf0(X4,X1)
& aDivisorOf0(X4,X2) )
=> doDivides0(X4,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefGCD) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(mDefMod,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aIdeal0(X3) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aElementOf0(sdtpldt0(X1,smndt0(X2)),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMod) ).
fof(mDefPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( X2 = slsdtgt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(mSetEq,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,X2) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSetEq) ).
fof(mDivision,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2)
& X2 != sz00 )
=> ? [X3,X4] :
( aElement0(X3)
& aElement0(X4)
& X1 = sdtpldt0(sdtasdt0(X3,X2),X4)
& ( X4 != sz00
=> iLess0(sbrdtbr0(X4),sbrdtbr0(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivision) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(mDefRel,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( misRelativelyPrime0(X1,X2)
<=> aGcdOfAnd0(sz10,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRel) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__2416) ).
fof(mDefDvs,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aElement0(X2)
& doDivides0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__2228) ).
fof(mIdeInt,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> aIdeal0(sdtasasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeInt) ).
fof(mIdeSum,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> aIdeal0(sdtpldt1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeSum) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mCancel,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCancel) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(m__2612,hypothesis,
~ ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xb )
| doDivides0(xu,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mEucSort,axiom,
! [X1] :
( ( aElement0(X1)
& X1 != sz00 )
=> aNaturalNumber0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEucSort) ).
fof(mPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> aIdeal0(slsdtgt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrIdeal) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(m__2729,hypothesis,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xr )
& aElementOf0(xr,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2729) ).
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/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(m__2479,hypothesis,
~ ~ ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xa )
& doDivides0(xu,xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).
fof(m__2718,hypothesis,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2718) ).
fof(m__2666,hypothesis,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).
fof(m__2091,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(m__2110,hypothesis,
( xa != sz00
| xb != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2110) ).
fof(m__2673,hypothesis,
xr != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2673) ).
fof(mUnNeZr,axiom,
sz10 != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(i_0_51,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_52,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_53,plain,
! [X168,X169,X170,X171,X174,X175,X176,X177,X179,X180] :
( ( aSet0(X170)
| X170 != sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) )
& ( aElementOf0(esk3_4(X168,X169,X170,X171),X168)
| ~ aElementOf0(X171,X170)
| X170 != sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) )
& ( aElementOf0(esk4_4(X168,X169,X170,X171),X169)
| ~ aElementOf0(X171,X170)
| X170 != sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) )
& ( sdtpldt0(esk3_4(X168,X169,X170,X171),esk4_4(X168,X169,X170,X171)) = X171
| ~ aElementOf0(X171,X170)
| X170 != sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) )
& ( ~ aElementOf0(X175,X168)
| ~ aElementOf0(X176,X169)
| sdtpldt0(X175,X176) != X174
| aElementOf0(X174,X170)
| X170 != sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) )
& ( ~ aElementOf0(esk5_3(X168,X169,X177),X177)
| ~ aElementOf0(X179,X168)
| ~ aElementOf0(X180,X169)
| sdtpldt0(X179,X180) != esk5_3(X168,X169,X177)
| ~ aSet0(X177)
| X177 = sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) )
& ( aElementOf0(esk6_3(X168,X169,X177),X168)
| aElementOf0(esk5_3(X168,X169,X177),X177)
| ~ aSet0(X177)
| X177 = sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) )
& ( aElementOf0(esk7_3(X168,X169,X177),X169)
| aElementOf0(esk5_3(X168,X169,X177),X177)
| ~ aSet0(X177)
| X177 = sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) )
& ( sdtpldt0(esk6_3(X168,X169,X177),esk7_3(X168,X169,X177)) = esk5_3(X168,X169,X177)
| aElementOf0(esk5_3(X168,X169,X177),X177)
| ~ aSet0(X177)
| X177 = sdtpldt1(X168,X169)
| ~ aSet0(X168)
| ~ aSet0(X169) ) ),
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_54,plain,
! [X205,X206,X208,X209] :
( ( aElement0(esk13_4(X205,X206,X208,X209))
| ~ aElement0(X208)
| ~ aElement0(X209)
| aElement0(esk12_2(X205,X206))
| ~ aIdeal0(X205)
| ~ aIdeal0(X206) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X205,X206,X208,X209),X208,X205)
| ~ aElement0(X208)
| ~ aElement0(X209)
| aElement0(esk12_2(X205,X206))
| ~ aIdeal0(X205)
| ~ aIdeal0(X206) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X205,X206,X208,X209),X209,X206)
| ~ aElement0(X208)
| ~ aElement0(X209)
| aElement0(esk12_2(X205,X206))
| ~ aIdeal0(X205)
| ~ aIdeal0(X206) )
& ( aElement0(esk13_4(X205,X206,X208,X209))
| ~ aElement0(X208)
| ~ aElement0(X209)
| ~ aElementOf0(esk12_2(X205,X206),sdtpldt1(X205,X206))
| ~ aIdeal0(X205)
| ~ aIdeal0(X206) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X205,X206,X208,X209),X208,X205)
| ~ aElement0(X208)
| ~ aElement0(X209)
| ~ aElementOf0(esk12_2(X205,X206),sdtpldt1(X205,X206))
| ~ aIdeal0(X205)
| ~ aIdeal0(X206) )
& ( sdteqdtlpzmzozddtrp0(esk13_4(X205,X206,X208,X209),X209,X206)
| ~ aElement0(X208)
| ~ aElement0(X209)
| ~ aElementOf0(esk12_2(X205,X206),sdtpldt1(X205,X206))
| ~ aIdeal0(X205)
| ~ aIdeal0(X206) ) ),
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_55,plain,
! [X183,X184,X185,X186,X187,X188] :
( ( aSet0(X185)
| X185 != sdtasasdt0(X183,X184)
| ~ aSet0(X183)
| ~ aSet0(X184) )
& ( aElementOf0(X186,X183)
| ~ aElementOf0(X186,X185)
| X185 != sdtasasdt0(X183,X184)
| ~ aSet0(X183)
| ~ aSet0(X184) )
& ( aElementOf0(X186,X184)
| ~ aElementOf0(X186,X185)
| X185 != sdtasasdt0(X183,X184)
| ~ aSet0(X183)
| ~ aSet0(X184) )
& ( ~ aElementOf0(X187,X183)
| ~ aElementOf0(X187,X184)
| aElementOf0(X187,X185)
| X185 != sdtasasdt0(X183,X184)
| ~ aSet0(X183)
| ~ aSet0(X184) )
& ( ~ aElementOf0(esk8_3(X183,X184,X188),X188)
| ~ aElementOf0(esk8_3(X183,X184,X188),X183)
| ~ aElementOf0(esk8_3(X183,X184,X188),X184)
| ~ aSet0(X188)
| X188 = sdtasasdt0(X183,X184)
| ~ aSet0(X183)
| ~ aSet0(X184) )
& ( aElementOf0(esk8_3(X183,X184,X188),X183)
| aElementOf0(esk8_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtasasdt0(X183,X184)
| ~ aSet0(X183)
| ~ aSet0(X184) )
& ( aElementOf0(esk8_3(X183,X184,X188),X184)
| aElementOf0(esk8_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtasasdt0(X183,X184)
| ~ aSet0(X183)
| ~ aSet0(X184) ) ),
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_56,plain,
! [X222,X223,X224,X225,X226] :
( ( aDivisorOf0(X224,X222)
| ~ aGcdOfAnd0(X224,X222,X223)
| ~ aElement0(X222)
| ~ aElement0(X223) )
& ( aDivisorOf0(X224,X223)
| ~ aGcdOfAnd0(X224,X222,X223)
| ~ aElement0(X222)
| ~ aElement0(X223) )
& ( ~ aDivisorOf0(X225,X222)
| ~ aDivisorOf0(X225,X223)
| doDivides0(X225,X224)
| ~ aGcdOfAnd0(X224,X222,X223)
| ~ aElement0(X222)
| ~ aElement0(X223) )
& ( aDivisorOf0(esk17_3(X222,X223,X226),X222)
| ~ aDivisorOf0(X226,X222)
| ~ aDivisorOf0(X226,X223)
| aGcdOfAnd0(X226,X222,X223)
| ~ aElement0(X222)
| ~ aElement0(X223) )
& ( aDivisorOf0(esk17_3(X222,X223,X226),X223)
| ~ aDivisorOf0(X226,X222)
| ~ aDivisorOf0(X226,X223)
| aGcdOfAnd0(X226,X222,X223)
| ~ aElement0(X222)
| ~ aElement0(X223) )
& ( ~ doDivides0(esk17_3(X222,X223,X226),X226)
| ~ aDivisorOf0(X226,X222)
| ~ aDivisorOf0(X226,X223)
| aGcdOfAnd0(X226,X222,X223)
| ~ aElement0(X222)
| ~ aElement0(X223) ) ),
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_57,plain,
! [X190,X191,X192,X193,X194] :
( ( aSet0(X190)
| ~ aIdeal0(X190) )
& ( ~ aElementOf0(X192,X190)
| aElementOf0(sdtpldt0(X191,X192),X190)
| ~ aElementOf0(X191,X190)
| ~ aIdeal0(X190) )
& ( ~ aElement0(X193)
| aElementOf0(sdtasdt0(X193,X191),X190)
| ~ aElementOf0(X191,X190)
| ~ aIdeal0(X190) )
& ( aElementOf0(esk9_1(X194),X194)
| ~ aSet0(X194)
| aIdeal0(X194) )
& ( aElement0(esk11_1(X194))
| aElementOf0(esk10_1(X194),X194)
| ~ aSet0(X194)
| aIdeal0(X194) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X194),esk9_1(X194)),X194)
| aElementOf0(esk10_1(X194),X194)
| ~ aSet0(X194)
| aIdeal0(X194) )
& ( aElement0(esk11_1(X194))
| ~ aElementOf0(sdtpldt0(esk9_1(X194),esk10_1(X194)),X194)
| ~ aSet0(X194)
| aIdeal0(X194) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X194),esk9_1(X194)),X194)
| ~ aElementOf0(sdtpldt0(esk9_1(X194),esk10_1(X194)),X194)
| ~ aSet0(X194)
| aIdeal0(X194) ) ),
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_58,plain,
! [X202,X203,X204] :
( ( ~ sdteqdtlpzmzozddtrp0(X202,X203,X204)
| aElementOf0(sdtpldt0(X202,smndt0(X203)),X204)
| ~ aElement0(X202)
| ~ aElement0(X203)
| ~ aIdeal0(X204) )
& ( ~ aElementOf0(sdtpldt0(X202,smndt0(X203)),X204)
| sdteqdtlpzmzozddtrp0(X202,X203,X204)
| ~ aElement0(X202)
| ~ aElement0(X203)
| ~ aIdeal0(X204) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMod])])]) ).
fof(i_0_59,plain,
! [X230,X231,X232,X234,X235,X236,X238] :
( ( aSet0(X231)
| X231 != slsdtgt0(X230)
| ~ aElement0(X230) )
& ( aElement0(esk18_3(X230,X231,X232))
| ~ aElementOf0(X232,X231)
| X231 != slsdtgt0(X230)
| ~ aElement0(X230) )
& ( sdtasdt0(X230,esk18_3(X230,X231,X232)) = X232
| ~ aElementOf0(X232,X231)
| X231 != slsdtgt0(X230)
| ~ aElement0(X230) )
& ( ~ aElement0(X235)
| sdtasdt0(X230,X235) != X234
| aElementOf0(X234,X231)
| X231 != slsdtgt0(X230)
| ~ aElement0(X230) )
& ( ~ aElementOf0(esk19_2(X230,X236),X236)
| ~ aElement0(X238)
| sdtasdt0(X230,X238) != esk19_2(X230,X236)
| ~ aSet0(X236)
| X236 = slsdtgt0(X230)
| ~ aElement0(X230) )
& ( aElement0(esk20_2(X230,X236))
| aElementOf0(esk19_2(X230,X236),X236)
| ~ aSet0(X236)
| X236 = slsdtgt0(X230)
| ~ aElement0(X230) )
& ( sdtasdt0(X230,esk20_2(X230,X236)) = esk19_2(X230,X236)
| aElementOf0(esk19_2(X230,X236),X236)
| ~ aSet0(X236)
| X236 = slsdtgt0(X230)
| ~ aElement0(X230) ) ),
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_60,plain,
! [X164,X165] :
( ( aElementOf0(esk2_2(X164,X165),X165)
| aElementOf0(esk1_2(X164,X165),X164)
| X164 = X165
| ~ aSet0(X164)
| ~ aSet0(X165) )
& ( ~ aElementOf0(esk2_2(X164,X165),X164)
| aElementOf0(esk1_2(X164,X165),X164)
| X164 = X165
| ~ aSet0(X164)
| ~ aSet0(X165) )
& ( aElementOf0(esk2_2(X164,X165),X165)
| ~ aElementOf0(esk1_2(X164,X165),X165)
| X164 = X165
| ~ aSet0(X164)
| ~ aSet0(X165) )
& ( ~ aElementOf0(esk2_2(X164,X165),X164)
| ~ aElementOf0(esk1_2(X164,X165),X165)
| X164 = X165
| ~ aSet0(X164)
| ~ aSet0(X165) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSetEq])])])]) ).
fof(i_0_61,plain,
! [X212,X213] :
( ( aElement0(esk14_2(X212,X213))
| ~ aElement0(X212)
| ~ aElement0(X213)
| X213 = sz00 )
& ( aElement0(esk15_2(X212,X213))
| ~ aElement0(X212)
| ~ aElement0(X213)
| X213 = sz00 )
& ( X212 = sdtpldt0(sdtasdt0(esk14_2(X212,X213),X213),esk15_2(X212,X213))
| ~ aElement0(X212)
| ~ aElement0(X213)
| X213 = sz00 )
& ( esk15_2(X212,X213) = sz00
| iLess0(sbrdtbr0(esk15_2(X212,X213)),sbrdtbr0(X213))
| ~ aElement0(X212)
| ~ aElement0(X213)
| X213 = sz00 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivision])])])]) ).
fof(i_0_62,plain,
! [X155,X156,X157] :
( ( sdtasdt0(X155,sdtpldt0(X156,X157)) = sdtpldt0(sdtasdt0(X155,X156),sdtasdt0(X155,X157))
| ~ aElement0(X155)
| ~ aElement0(X156)
| ~ aElement0(X157) )
& ( sdtasdt0(sdtpldt0(X156,X157),X155) = sdtpldt0(sdtasdt0(X156,X155),sdtasdt0(X157,X155))
| ~ aElement0(X155)
| ~ aElement0(X156)
| ~ aElement0(X157) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_63,hypothesis,
! [X279,X280,X281] :
( aElementOf0(esk37_0,slsdtgt0(xa))
& aElementOf0(esk38_0,slsdtgt0(xb))
& sdtpldt0(esk37_0,esk38_0) = xu
& aElementOf0(xu,xI)
& xu != sz00
& ( ~ aElementOf0(X280,slsdtgt0(xa))
| ~ aElementOf0(X281,slsdtgt0(xb))
| sdtpldt0(X280,X281) != X279
| X279 = sz00
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(xu)) )
& ( ~ aElementOf0(X279,xI)
| X279 = sz00
| ~ iLess0(sbrdtbr0(X279),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_51])])])])]) ).
fof(i_0_64,plain,
! [X228,X229] :
( ( ~ misRelativelyPrime0(X228,X229)
| aGcdOfAnd0(sz10,X228,X229)
| ~ aElement0(X228)
| ~ aElement0(X229) )
& ( ~ aGcdOfAnd0(sz10,X228,X229)
| misRelativelyPrime0(X228,X229)
| ~ aElement0(X228)
| ~ aElement0(X229) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefRel])])]) ).
fof(i_0_65,plain,
! [X151,X152,X153] :
( ~ aElement0(X151)
| ~ aElement0(X152)
| ~ aElement0(X153)
| sdtasdt0(sdtasdt0(X151,X152),X153) = sdtasdt0(X151,sdtasdt0(X152,X153)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_66,plain,
! [X144,X145,X146] :
( ~ aElement0(X144)
| ~ aElement0(X145)
| ~ aElement0(X146)
| sdtpldt0(sdtpldt0(X144,X145),X146) = sdtpldt0(X144,sdtpldt0(X145,X146)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_67,hypothesis,
! [X247,X248,X249,X250,X252,X253,X254,X256,X257,X258,X261,X262,X263] :
( aSet0(xI)
& ( ~ aElementOf0(X248,xI)
| aElementOf0(sdtpldt0(X247,X248),xI)
| ~ aElementOf0(X247,xI) )
& ( ~ aElement0(X249)
| aElementOf0(sdtasdt0(X249,X247),xI)
| ~ aElementOf0(X247,xI) )
& aIdeal0(xI)
& ( aElement0(esk24_1(X250))
| ~ aElementOf0(X250,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk24_1(X250)) = X250
| ~ aElementOf0(X250,slsdtgt0(xa)) )
& ( ~ aElement0(X253)
| sdtasdt0(xa,X253) != X252
| aElementOf0(X252,slsdtgt0(xa)) )
& ( aElement0(esk25_1(X254))
| ~ aElementOf0(X254,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk25_1(X254)) = X254
| ~ aElementOf0(X254,slsdtgt0(xb)) )
& ( ~ aElement0(X257)
| sdtasdt0(xb,X257) != X256
| aElementOf0(X256,slsdtgt0(xb)) )
& ( aElementOf0(esk26_1(X258),slsdtgt0(xa))
| ~ aElementOf0(X258,xI) )
& ( aElementOf0(esk27_1(X258),slsdtgt0(xb))
| ~ aElementOf0(X258,xI) )
& ( sdtpldt0(esk26_1(X258),esk27_1(X258)) = X258
| ~ aElementOf0(X258,xI) )
& ( ~ aElementOf0(X262,slsdtgt0(xa))
| ~ aElementOf0(X263,slsdtgt0(xb))
| sdtpldt0(X262,X263) != X261
| aElementOf0(X261,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,
! [X243,X244,X245] :
( 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(X243))
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( doDivides0(X243,xc)
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( aElement0(esk23_1(X243))
| ~ doDivides0(X243,xb)
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ doDivides0(X243,xb)
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( doDivides0(X243,xc)
| ~ doDivides0(X243,xb)
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( aElement0(esk23_1(X243))
| ~ aDivisorOf0(X243,xb)
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ aDivisorOf0(X243,xb)
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( doDivides0(X243,xc)
| ~ aDivisorOf0(X243,xb)
| ~ aElement0(X244)
| sdtasdt0(X243,X244) != xa
| ~ aElement0(X243) )
& ( aElement0(esk23_1(X243))
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( doDivides0(X243,xc)
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( aElement0(esk23_1(X243))
| ~ doDivides0(X243,xb)
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ doDivides0(X243,xb)
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( doDivides0(X243,xc)
| ~ doDivides0(X243,xb)
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( aElement0(esk23_1(X243))
| ~ aDivisorOf0(X243,xb)
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ aDivisorOf0(X243,xb)
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( doDivides0(X243,xc)
| ~ aDivisorOf0(X243,xb)
| ~ doDivides0(X243,xa)
| ~ aElement0(X243) )
& ( aElement0(esk23_1(X243))
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ aDivisorOf0(X243,xa) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ aDivisorOf0(X243,xa) )
& ( doDivides0(X243,xc)
| ~ aElement0(X245)
| sdtasdt0(X243,X245) != xb
| ~ aDivisorOf0(X243,xa) )
& ( aElement0(esk23_1(X243))
| ~ doDivides0(X243,xb)
| ~ aDivisorOf0(X243,xa) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ doDivides0(X243,xb)
| ~ aDivisorOf0(X243,xa) )
& ( doDivides0(X243,xc)
| ~ doDivides0(X243,xb)
| ~ aDivisorOf0(X243,xa) )
& ( aElement0(esk23_1(X243))
| ~ aDivisorOf0(X243,xb)
| ~ aDivisorOf0(X243,xa) )
& ( sdtasdt0(X243,esk23_1(X243)) = xc
| ~ aDivisorOf0(X243,xb)
| ~ aDivisorOf0(X243,xa) )
& ( doDivides0(X243,xc)
| ~ aDivisorOf0(X243,xb)
| ~ aDivisorOf0(X243,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,
! [X216,X217,X219] :
( ( aElement0(esk16_2(X216,X217))
| ~ doDivides0(X216,X217)
| ~ aElement0(X216)
| ~ aElement0(X217) )
& ( sdtasdt0(X216,esk16_2(X216,X217)) = X217
| ~ doDivides0(X216,X217)
| ~ aElement0(X216)
| ~ aElement0(X217) )
& ( ~ aElement0(X219)
| sdtasdt0(X216,X219) != X217
| doDivides0(X216,X217)
| ~ aElement0(X216)
| ~ aElement0(X217) ) ),
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,
! [X282,X283] :
( ( ~ aElement0(X283)
| sdtasdt0(xu,X283) != xb
| ~ aElement0(X282)
| sdtasdt0(xu,X282) != xa )
& ( ~ doDivides0(xu,xb)
| ~ aElement0(X282)
| sdtasdt0(xu,X282) != xa )
& ( ~ aDivisorOf0(xu,xb)
| ~ aElement0(X282)
| sdtasdt0(xu,X282) != xa )
& ( ~ aElement0(X283)
| sdtasdt0(xu,X283) != xb
| ~ doDivides0(xu,xa) )
& ( ~ doDivides0(xu,xb)
| ~ doDivides0(xu,xa) )
& ( ~ aDivisorOf0(xu,xb)
| ~ doDivides0(xu,xa) )
& ( ~ aElement0(X283)
| sdtasdt0(xu,X283) != 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,
! [X220,X221] :
( ( aElement0(X221)
| ~ aDivisorOf0(X221,X220)
| ~ aElement0(X220) )
& ( doDivides0(X221,X220)
| ~ aDivisorOf0(X221,X220)
| ~ aElement0(X220) )
& ( ~ aElement0(X221)
| ~ doDivides0(X221,X220)
| aDivisorOf0(X221,X220)
| ~ aElement0(X220) ) ),
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,
! [X269,X271,X272,X274] :
( ( aElement0(esk33_1(X269))
| ~ aElementOf0(X269,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk33_1(X269)) = X269
| ~ aElementOf0(X269,slsdtgt0(xa)) )
& ( ~ aElement0(X271)
| sdtasdt0(xa,X271) != X269
| aElementOf0(X269,slsdtgt0(xa)) )
& ( aElement0(esk34_1(X272))
| ~ aElementOf0(X272,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk34_1(X272)) = X272
| ~ aElementOf0(X272,slsdtgt0(xb)) )
& ( ~ aElement0(X274)
| sdtasdt0(xb,X274) != X272
| aElementOf0(X272,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,
! [X200,X201] :
( ~ aIdeal0(X200)
| ~ aIdeal0(X201)
| aIdeal0(sdtasasdt0(X200,X201)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeInt])]) ).
fof(i_0_76,plain,
! [X198,X199] :
( ~ aIdeal0(X198)
| ~ aIdeal0(X199)
| aIdeal0(sdtpldt1(X198,X199)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeSum])]) ).
fof(i_0_77,plain,
! [X140,X141] :
( ~ aElement0(X140)
| ~ aElement0(X141)
| aElement0(sdtasdt0(X140,X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_78,plain,
! [X138,X139] :
( ~ aElement0(X138)
| ~ aElement0(X139)
| aElement0(sdtpldt0(X138,X139)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_79,plain,
! [X149,X150] :
( ~ aElement0(X149)
| ~ aElement0(X150)
| sdtasdt0(X149,X150) = sdtasdt0(X150,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_80,plain,
! [X142,X143] :
( ~ aElement0(X142)
| ~ aElement0(X143)
| sdtpldt0(X142,X143) = sdtpldt0(X143,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_81,plain,
! [X160,X161] :
( ~ aElement0(X160)
| ~ aElement0(X161)
| sdtasdt0(X160,X161) != sz00
| X160 = sz00
| X161 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCancel])]) ).
fof(i_0_82,plain,
! [X162,X163] :
( ~ aSet0(X162)
| ~ aElementOf0(X163,X162)
| aElement0(X163) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_83,plain,
! [X158] :
( ( sdtasdt0(smndt0(sz10),X158) = smndt0(X158)
| ~ aElement0(X158) )
& ( smndt0(X158) = sdtasdt0(X158,smndt0(sz10))
| ~ aElement0(X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).
fof(i_0_84,plain,
! [X148] :
( ( sdtpldt0(X148,smndt0(X148)) = sz00
| ~ aElement0(X148) )
& ( sz00 = sdtpldt0(smndt0(X148),X148)
| ~ aElement0(X148) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).
fof(i_0_85,hypothesis,
! [X287] :
( ( ~ aElement0(X287)
| sdtasdt0(xu,X287) != 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,
! [X154] :
( ( sdtasdt0(X154,sz10) = X154
| ~ aElement0(X154) )
& ( X154 = sdtasdt0(sz10,X154)
| ~ aElement0(X154) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).
fof(i_0_87,plain,
! [X147] :
( ( sdtpldt0(X147,sz00) = X147
| ~ aElement0(X147) )
& ( X147 = sdtpldt0(sz00,X147)
| ~ aElement0(X147) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(i_0_88,plain,
! [X159] :
( ( sdtasdt0(X159,sz00) = sz00
| ~ aElement0(X159) )
& ( sz00 = sdtasdt0(sz00,X159)
| ~ aElement0(X159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(i_0_89,plain,
! [X211] :
( ~ aElement0(X211)
| X211 = sz00
| aNaturalNumber0(sbrdtbr0(X211)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEucSort])]) ).
fof(i_0_90,plain,
! [X240] :
( ~ aElement0(X240)
| aIdeal0(slsdtgt0(X240)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrIdeal])]) ).
fof(i_0_91,plain,
! [X137] :
( ~ aElement0(X137)
| aElement0(smndt0(X137)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
fof(i_0_92,hypothesis,
( aElementOf0(esk46_0,slsdtgt0(xa))
& aElementOf0(esk47_0,slsdtgt0(xb))
& sdtpldt0(esk46_0,esk47_0) = xr
& aElementOf0(xr,xI) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2729])]) ).
fof(i_0_93,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_52])]) ).
fof(i_0_94,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_95,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_96,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_53]),
[final] ).
cnf(i_0_97,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_54]),
[final] ).
cnf(i_0_98,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_54]),
[final] ).
cnf(i_0_99,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_54]),
[final] ).
cnf(i_0_100,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_55]),
[final] ).
cnf(i_0_101,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_54]),
[final] ).
cnf(i_0_102,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_54]),
[final] ).
cnf(i_0_103,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_53]),
[final] ).
cnf(i_0_104,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_53]),
[final] ).
cnf(i_0_105,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_54]),
[final] ).
cnf(i_0_106,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_53]),
[final] ).
cnf(i_0_107,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_53]),
[final] ).
cnf(i_0_108,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_56]),
[final] ).
cnf(i_0_109,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_55]),
[final] ).
cnf(i_0_110,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_55]),
[final] ).
cnf(i_0_111,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_53]),
[final] ).
cnf(i_0_112,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_53]),
[final] ).
cnf(i_0_113,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_56]),
[final] ).
cnf(i_0_114,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_56]),
[final] ).
cnf(i_0_115,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_57]),
[final] ).
cnf(i_0_116,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_56]),
[final] ).
cnf(i_0_117,plain,
( aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_118,plain,
( sdtasdt0(X1,esk18_3(X1,X2,X3)) = X3
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_119,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_120,plain,
( aElement0(esk18_3(X1,X2,X3))
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_121,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_60]),
[final] ).
cnf(i_0_122,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_61]),
[final] ).
cnf(i_0_123,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_59]),
[final] ).
cnf(i_0_124,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_57]),
[final] ).
cnf(i_0_125,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_62]),
[final] ).
cnf(i_0_126,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_62]),
[final] ).
cnf(i_0_127,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_57]),
[final] ).
cnf(i_0_128,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_53]),
[final] ).
cnf(i_0_129,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_60]),
[final] ).
cnf(i_0_130,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_60]),
[final] ).
cnf(i_0_131,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_63]),
[final] ).
cnf(i_0_132,plain,
( aDivisorOf0(X1,X2)
| ~ aGcdOfAnd0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_133,plain,
( aDivisorOf0(X1,X2)
| ~ aGcdOfAnd0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_134,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_59]),
[final] ).
cnf(i_0_135,plain,
( misRelativelyPrime0(X1,X2)
| ~ aGcdOfAnd0(sz10,X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_136,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_61]),
[final] ).
cnf(i_0_137,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_138,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_139,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_55]),
[final] ).
cnf(i_0_140,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_60]),
[final] ).
cnf(i_0_141,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[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_59]),
[final] ).
cnf(i_0_144,plain,
( aGcdOfAnd0(sz10,X1,X2)
| ~ misRelativelyPrime0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[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_57]),
[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_55]),
[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_55]),
[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_59]),
[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_63]),
[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,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(split_conjunct,[status(thm)],[m__2718]),
[final] ).
cnf(i_0_178,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_179,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_180,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_181,hypothesis,
xu = sdtpldt0(sdtasdt0(xa,esk39_0),sdtasdt0(xb,esk40_0)),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_182,hypothesis,
( doDivides0(X1,xc)
| ~ aDivisorOf0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_183,hypothesis,
( doDivides0(X1,xc)
| ~ doDivides0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_184,plain,
( aDivisorOf0(X1,X2)
| ~ aElement0(X1)
| ~ doDivides0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_185,hypothesis,
( aElement0(esk23_1(X1))
| ~ aDivisorOf0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_186,hypothesis,
( aElement0(esk23_1(X1))
| ~ doDivides0(X1,xb)
| ~ aDivisorOf0(X1,xa) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_187,hypothesis,
aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_188,hypothesis,
aGcdOfAnd0(xc,xa,xb),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_189,hypothesis,
( sdtpldt0(esk26_1(X1),esk27_1(X1)) = X1
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_190,hypothesis,
( sdtasdt0(xb,esk34_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_191,hypothesis,
( sdtasdt0(xb,esk25_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_192,hypothesis,
( sdtasdt0(xa,esk33_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_193,hypothesis,
( sdtasdt0(xa,esk24_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_194,plain,
( aElement0(esk15_2(X1,X2))
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_195,plain,
( aElement0(esk14_2(X1,X2))
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_196,hypothesis,
( aElementOf0(X2,slsdtgt0(xb))
| ~ aElement0(X1)
| sdtasdt0(xb,X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_197,hypothesis,
( aElementOf0(X2,slsdtgt0(xb))
| ~ aElement0(X1)
| sdtasdt0(xb,X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_198,hypothesis,
( aElementOf0(X2,slsdtgt0(xa))
| ~ aElement0(X1)
| sdtasdt0(xa,X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_199,hypothesis,
( aElementOf0(X2,slsdtgt0(xa))
| ~ aElement0(X1)
| sdtasdt0(xa,X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_200,hypothesis,
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb
| ~ aDivisorOf0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_201,hypothesis,
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb
| ~ doDivides0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_202,hypothesis,
( ~ aDivisorOf0(xu,xb)
| ~ aElement0(X1)
| sdtasdt0(xu,X1) != xa ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_203,hypothesis,
( ~ doDivides0(xu,xb)
| ~ aElement0(X1)
| sdtasdt0(xu,X1) != xa ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_204,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_205,plain,
( aIdeal0(sdtpldt1(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_206,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_207,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_208,plain,
( doDivides0(X1,X2)
| ~ aDivisorOf0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_209,hypothesis,
( aElementOf0(esk27_1(X1),slsdtgt0(xb))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_210,hypothesis,
( aElementOf0(esk26_1(X1),slsdtgt0(xa))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_211,plain,
( aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_212,plain,
( aSet0(X1)
| X1 != sdtasasdt0(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_213,plain,
( aSet0(X1)
| X1 != sdtpldt1(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_214,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_215,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_216,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_217,hypothesis,
( aElement0(esk34_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_218,hypothesis,
( aElement0(esk33_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_219,hypothesis,
( aElement0(esk25_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_220,hypothesis,
( aElement0(esk24_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_221,hypothesis,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_222,hypothesis,
( ~ doDivides0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_223,hypothesis,
( ~ aDivisorOf0(xu,xb)
| ~ doDivides0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_224,hypothesis,
( ~ doDivides0(xu,xb)
| ~ doDivides0(xu,xa) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_225,hypothesis,
sdtpldt0(esk42_0,esk43_0) = smndt0(sdtasdt0(xq,xu)),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_226,plain,
( aElement0(X1)
| ~ aDivisorOf0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_227,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_228,hypothesis,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(split_conjunct,[status(thm)],[m__2666]),
[final] ).
cnf(i_0_229,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_230,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_231,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_232,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_233,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_234,hypothesis,
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_235,hypothesis,
( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
inference(split_conjunct,[status(thm)],[m__2666]),
[final] ).
cnf(i_0_236,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_237,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_238,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_239,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_240,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_241,plain,
( aSet0(X1)
| X1 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_242,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_243,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_244,plain,
( X1 = sz00
| aNaturalNumber0(sbrdtbr0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_245,hypothesis,
~ doDivides0(xu,xb),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_246,plain,
( aIdeal0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_247,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_248,hypothesis,
aElementOf0(esk47_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_249,hypothesis,
aElementOf0(esk46_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_250,hypothesis,
aElementOf0(esk45_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_251,hypothesis,
aElementOf0(esk44_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_252,hypothesis,
aElementOf0(esk43_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_253,hypothesis,
aElementOf0(esk42_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_254,hypothesis,
aElementOf0(esk38_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_255,hypothesis,
aElementOf0(esk37_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_256,hypothesis,
aElementOf0(esk36_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_257,hypothesis,
aElementOf0(esk35_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_258,hypothesis,
aElementOf0(xb,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_259,hypothesis,
aElementOf0(xa,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_260,hypothesis,
aElementOf0(sz00,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_261,hypothesis,
aElementOf0(sz00,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_262,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_263,hypothesis,
aDivisorOf0(xc,xb),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_264,hypothesis,
aDivisorOf0(xc,xa),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_265,hypothesis,
doDivides0(xu,xa),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_266,hypothesis,
doDivides0(xc,xb),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_267,hypothesis,
doDivides0(xc,xa),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_268,hypothesis,
aElementOf0(xr,xI),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_269,hypothesis,
aElementOf0(xu,xI),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_270,hypothesis,
aElementOf0(xb,xI),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_271,hypothesis,
sdtasdt0(xu,esk41_0) = xa,
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_272,hypothesis,
sdtasdt0(xc,esk22_0) = xb,
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_273,hypothesis,
sdtasdt0(xc,esk21_0) = xa,
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_274,hypothesis,
sdtasdt0(xb,esk31_0) = xb,
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_275,hypothesis,
sdtasdt0(xb,esk30_0) = sz00,
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_276,hypothesis,
sdtasdt0(xa,esk29_0) = xa,
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_277,hypothesis,
sdtasdt0(xa,esk28_0) = sz00,
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_278,hypothesis,
sdtpldt0(esk46_0,esk47_0) = xr,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_279,hypothesis,
sdtpldt0(esk44_0,esk45_0) = xb,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_280,hypothesis,
sdtpldt0(esk37_0,esk38_0) = xu,
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_281,hypothesis,
sdtpldt0(esk35_0,esk36_0) = esk32_0,
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_282,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_283,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_284,hypothesis,
aElement0(esk41_0),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_285,hypothesis,
aElement0(esk40_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_286,hypothesis,
aElement0(esk39_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_287,hypothesis,
aElement0(esk31_0),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_288,hypothesis,
aElement0(esk30_0),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_289,hypothesis,
aElement0(esk29_0),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_290,hypothesis,
aElement0(esk28_0),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_291,hypothesis,
aElement0(esk22_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_292,hypothesis,
aElement0(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_293,hypothesis,
aElement0(xr),
inference(split_conjunct,[status(thm)],[m__2666]),
[final] ).
cnf(i_0_294,hypothesis,
aElement0(xq),
inference(split_conjunct,[status(thm)],[m__2666]),
[final] ).
cnf(i_0_295,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_296,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_297,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__2091]),
[final] ).
cnf(i_0_298,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__2091]),
[final] ).
cnf(i_0_299,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_300,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_301,hypothesis,
( xa != sz00
| xb != sz00 ),
inference(split_conjunct,[status(thm)],[m__2110]),
[final] ).
cnf(i_0_302,hypothesis,
esk32_0 != sz00,
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_303,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[m__2673]),
[final] ).
cnf(i_0_304,hypothesis,
xu != sz00,
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_305,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mUnNeZr]),
[final] ).
cnf(i_0_306,axiom,
X1 = X1 ).
cnf(i_0_307,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_308,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_309,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_310,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_311,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_312,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_313,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_314,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_315,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_316,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_317,axiom,
( X1 != X2
| slsdtgt0(X1) = slsdtgt0(X2) ) ).
cnf(i_0_318,axiom,
( X1 != X2
| esk15_2(X1,X3) = esk15_2(X2,X3) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| esk15_2(X3,X1) = esk15_2(X3,X2) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| sdtpldt1(X1,X3) = sdtpldt1(X2,X3) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| sdtpldt1(X3,X1) = sdtpldt1(X3,X2) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| sdtasasdt0(X1,X3) = sdtasasdt0(X2,X3) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| sdtasasdt0(X3,X1) = sdtasasdt0(X3,X2) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| ~ misRelativelyPrime0(X1,X3)
| misRelativelyPrime0(X2,X3) ) ).
cnf(i_0_329,axiom,
( X1 != X2
| ~ misRelativelyPrime0(X3,X1)
| misRelativelyPrime0(X3,X2) ) ).
cnf(i_0_330,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_331,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_332,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X4)
| sdteqdtlpzmzozddtrp0(X2,X3,X4) ) ).
cnf(i_0_333,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X1,X4)
| sdteqdtlpzmzozddtrp0(X3,X2,X4) ) ).
cnf(i_0_334,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X4,X1)
| sdteqdtlpzmzozddtrp0(X3,X4,X2) ) ).
cnf(i_0_335,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_336,axiom,
( X1 != X2
| ~ aIdeal0(X1)
| aIdeal0(X2) ) ).
cnf(i_0_337,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X1,X3,X4)
| aGcdOfAnd0(X2,X3,X4) ) ).
cnf(i_0_338,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X3,X1,X4)
| aGcdOfAnd0(X3,X2,X4) ) ).
cnf(i_0_339,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X3,X4,X1)
| aGcdOfAnd0(X3,X4,X2) ) ).
cnf(i_0_340,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_341,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_342,axiom,
( X1 != X2
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X2,X3) ) ).
cnf(i_0_343,axiom,
( X1 != X2
| ~ aDivisorOf0(X3,X1)
| aDivisorOf0(X3,X2) ) ).
cnf(i_0_344,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_345,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_306_001,axiom,
X1 = X1 ).
cnf(i_0_307_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_308_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_309_004,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_310_005,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_311_006,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_312_007,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_313_008,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_314_009,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_315_010,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_316_011,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_317_012,axiom,
( X1 != X2
| slsdtgt0(X1) = slsdtgt0(X2) ) ).
cnf(i_0_318_013,axiom,
( X1 != X2
| esk15_2(X1,X3) = esk15_2(X2,X3) ) ).
cnf(i_0_319_014,axiom,
( X1 != X2
| esk15_2(X3,X1) = esk15_2(X3,X2) ) ).
cnf(i_0_320_015,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_321_016,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_322_017,axiom,
( X1 != X2
| sdtpldt1(X1,X3) = sdtpldt1(X2,X3) ) ).
cnf(i_0_323_018,axiom,
( X1 != X2
| sdtpldt1(X3,X1) = sdtpldt1(X3,X2) ) ).
cnf(i_0_324_019,axiom,
( X1 != X2
| sdtasasdt0(X1,X3) = sdtasasdt0(X2,X3) ) ).
cnf(i_0_325_020,axiom,
( X1 != X2
| sdtasasdt0(X3,X1) = sdtasasdt0(X3,X2) ) ).
cnf(i_0_326_021,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_327_022,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_328_023,axiom,
( X1 != X2
| ~ misRelativelyPrime0(X1,X3)
| misRelativelyPrime0(X2,X3) ) ).
cnf(i_0_329_024,axiom,
( X1 != X2
| ~ misRelativelyPrime0(X3,X1)
| misRelativelyPrime0(X3,X2) ) ).
cnf(i_0_330_025,axiom,
( X1 != X2
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X2) ) ).
cnf(i_0_331_026,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_332_027,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X4)
| sdteqdtlpzmzozddtrp0(X2,X3,X4) ) ).
cnf(i_0_333_028,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X1,X4)
| sdteqdtlpzmzozddtrp0(X3,X2,X4) ) ).
cnf(i_0_334_029,axiom,
( X1 != X2
| ~ sdteqdtlpzmzozddtrp0(X3,X4,X1)
| sdteqdtlpzmzozddtrp0(X3,X4,X2) ) ).
cnf(i_0_335_030,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_336_031,axiom,
( X1 != X2
| ~ aIdeal0(X1)
| aIdeal0(X2) ) ).
cnf(i_0_337_032,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X1,X3,X4)
| aGcdOfAnd0(X2,X3,X4) ) ).
cnf(i_0_338_033,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X3,X1,X4)
| aGcdOfAnd0(X3,X2,X4) ) ).
cnf(i_0_339_034,axiom,
( X1 != X2
| ~ aGcdOfAnd0(X3,X4,X1)
| aGcdOfAnd0(X3,X4,X2) ) ).
cnf(i_0_340_035,axiom,
( X1 != X2
| ~ doDivides0(X1,X3)
| doDivides0(X2,X3) ) ).
cnf(i_0_341_036,axiom,
( X1 != X2
| ~ doDivides0(X3,X1)
| doDivides0(X3,X2) ) ).
cnf(i_0_342_037,axiom,
( X1 != X2
| ~ aDivisorOf0(X1,X3)
| aDivisorOf0(X2,X3) ) ).
cnf(i_0_343_038,axiom,
( X1 != X2
| ~ aDivisorOf0(X3,X1)
| aDivisorOf0(X3,X2) ) ).
cnf(i_0_344_039,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_345_040,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_346,plain,
( ~ aElementOf0(X1,sdtpldt1(X2,X3))
| ~ aSet0(X2)
| ~ aSet0(X3)
| sdtpldt0(esk3_4(X2,X3,sdtpldt1(X2,X3),X1),esk4_4(X2,X3,sdtpldt1(X2,X3),X1)) = X1 ),
inference(equality_inference,[],[96]) ).
cnf(i_0_347,plain,
( ~ aElementOf0(X1,sdtpldt1(X2,X3))
| ~ aSet0(X2)
| ~ aSet0(X3)
| aElementOf0(esk4_4(X2,X3,sdtpldt1(X2,X3),X1),X3) ),
inference(equality_inference,[],[103]) ).
cnf(i_0_348,plain,
( ~ aElementOf0(X1,sdtpldt1(X2,X3))
| ~ aSet0(X2)
| ~ aSet0(X3)
| aElementOf0(esk3_4(X2,X3,sdtpldt1(X2,X3),X1),X2) ),
inference(equality_inference,[],[104]) ).
cnf(i_0_349,plain,
( ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElement0(X2)
| sdtasdt0(X2,esk18_3(X2,slsdtgt0(X2),X1)) = X1 ),
inference(equality_inference,[],[118]) ).
cnf(i_0_350,plain,
( ~ aElementOf0(X1,slsdtgt0(X2))
| ~ aElement0(X2)
| aElement0(esk18_3(X2,slsdtgt0(X2),X1)) ),
inference(equality_inference,[],[120]) ).
cnf(i_0_351,plain,
( sdtpldt0(X1,X2) = sz00
| ~ iLess0(sbrdtbr0(sdtpldt0(X1,X2)),sbrdtbr0(xu))
| ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb)) ),
inference(equality_inference,[],[131]) ).
cnf(i_0_352,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(X3,sdtasasdt0(X1,X2))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) ),
inference(equality_inference,[],[139]) ).
cnf(i_0_353,plain,
( aElementOf0(sdtpldt0(X1,X2),xI)
| ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb)) ),
inference(equality_inference,[],[142]) ).
cnf(i_0_354,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtasasdt0(X1,X2)) ),
inference(equality_inference,[],[154]) ).
cnf(i_0_355,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(X3,X2)
| ~ aElementOf0(X3,sdtasasdt0(X1,X2)) ),
inference(equality_inference,[],[155]) ).
cnf(i_0_356,plain,
( ~ aElement0(X1)
| ~ aElement0(sdtasdt0(X1,X2))
| doDivides0(X1,sdtasdt0(X1,X2))
| ~ aElement0(X2) ),
inference(equality_inference,[],[174]) ).
cnf(i_0_357,plain,
( ~ aElement0(X1)
| aElementOf0(sdtasdt0(xb,X1),slsdtgt0(xb)) ),
inference(equality_inference,[],[197]) ).
cnf(i_0_358,plain,
( ~ aElement0(X1)
| aElementOf0(sdtasdt0(xa,X1),slsdtgt0(xa)) ),
inference(equality_inference,[],[199]) ).
cnf(i_0_359,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aSet0(sdtasasdt0(X1,X2)) ),
inference(equality_inference,[],[212]) ).
cnf(i_0_360,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aSet0(sdtpldt1(X1,X2)) ),
inference(equality_inference,[],[213]) ).
cnf(i_0_361,plain,
( ~ aElement0(X1)
| aSet0(slsdtgt0(X1)) ),
inference(equality_inference,[],[241]) ).
cnf(i_0_362,plain,
~ aDivisorOf0(xu,xb),
inference(scs_inference,[],[i_0_265,i_0_223]) ).
cnf(i_0_363,plain,
iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(scs_inference,[],[i_0_303,i_0_235]) ).
cnf(i_0_364,plain,
xa = sdtasdt0(xu,esk41_0),
inference(scs_inference,[],[i_0_271,i_0_307]) ).
cnf(i_0_365,plain,
doDivides0(xc,xc),
inference(scs_inference,[],[i_0_263,i_0_264,i_0_271,i_0_307,i_0_182]) ).
cnf(i_0_366,plain,
( ~ aDivisorOf0(X1,xb)
| ~ aDivisorOf0(X1,xa)
| doDivides0(X1,xc) ),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_367,plain,
aElement0(smndt0(sdtasdt0(xq,xu))),
inference(scs_inference,[],[i_0_176,i_0_263,i_0_264,i_0_283,i_0_271,i_0_307,i_0_182,i_0_227]) ).
cnf(i_0_368,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_227]) ).
cnf(i_0_369,plain,
sdtasdt0(xb,esk18_3(xb,slsdtgt0(xb),esk47_0)) = esk47_0,
inference(scs_inference,[],[i_0_176,i_0_263,i_0_264,i_0_283,i_0_297,i_0_248,i_0_271,i_0_307,i_0_182,i_0_227,i_0_349]) ).
cnf(i_0_370,plain,
( ~ aElement0(X1)
| sdtasdt0(X1,esk18_3(X1,slsdtgt0(X1),X2)) = X2
| ~ aElementOf0(X2,slsdtgt0(X1)) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_371,plain,
aElement0(esk18_3(xb,slsdtgt0(xb),esk47_0)),
inference(scs_inference,[],[i_0_176,i_0_263,i_0_264,i_0_283,i_0_297,i_0_248,i_0_271,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350]) ).
cnf(i_0_372,plain,
( ~ aElement0(X1)
| aElement0(esk18_3(X1,slsdtgt0(X1),X2))
| ~ aElementOf0(X2,slsdtgt0(X1)) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_373,plain,
esk32_0 != sdtasdt0(xb,esk30_0),
inference(scs_inference,[],[i_0_176,i_0_263,i_0_264,i_0_283,i_0_297,i_0_302,i_0_248,i_0_271,i_0_275,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308]) ).
cnf(i_0_374,plain,
aSet0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(scs_inference,[],[i_0_176,i_0_263,i_0_264,i_0_283,i_0_297,i_0_302,i_0_248,i_0_271,i_0_275,i_0_240,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331]) ).
cnf(i_0_375,plain,
aElement0(sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb)),
inference(scs_inference,[],[i_0_176,i_0_263,i_0_264,i_0_283,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_275,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335]) ).
cnf(i_0_376,plain,
aIdeal0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(scs_inference,[],[i_0_176,i_0_263,i_0_264,i_0_282,i_0_283,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_275,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336]) ).
cnf(i_0_377,plain,
~ doDivides0(sdtpldt0(esk37_0,esk38_0),xb),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340]) ).
cnf(i_0_378,plain,
~ doDivides0(xu,sdtasdt0(xc,esk22_0)),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_272,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341]) ).
cnf(i_0_379,plain,
aElement0(esk23_1(xc)),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_291,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_272,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171]) ).
cnf(i_0_380,plain,
( sdtasdt0(X1,X2) != xb
| aElement0(esk23_1(X1))
| ~ aDivisorOf0(X1,xa)
| ~ aElement0(X2) ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_381,plain,
doDivides0(xb,xb),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_287,i_0_291,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174]) ).
cnf(i_0_382,plain,
( sdtasdt0(X1,X2) != X3
| ~ aElement0(X1)
| ~ aElement0(X3)
| doDivides0(X1,X3)
| ~ aElement0(X2) ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_383,plain,
aElementOf0(smndt0(sdtasdt0(xq,xu)),sdtasasdt0(xI,xI)),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_287,i_0_291,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352]) ).
cnf(i_0_384,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X2)
| aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3) ),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_385,plain,
( ~ aDivisorOf0(xb,xa)
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_287,i_0_291,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183]) ).
cnf(i_0_386,plain,
( ~ doDivides0(X1,xb)
| ~ aDivisorOf0(X1,xa)
| doDivides0(X1,xc) ),
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_387,plain,
( ~ aDivisorOf0(sdtasdt0(xc,esk22_0),xa)
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_287,i_0_291,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342]) ).
cnf(i_0_388,plain,
( ~ aDivisorOf0(xb,sdtasdt0(xu,esk41_0))
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_287,i_0_291,i_0_293,i_0_297,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342,i_0_343]) ).
cnf(i_0_389,plain,
( ~ aGcdOfAnd0(xb,xa,xa)
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_287,i_0_291,i_0_293,i_0_297,i_0_298,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342,i_0_343,i_0_132]) ).
cnf(i_0_390,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| aDivisorOf0(X3,X1)
| ~ aGcdOfAnd0(X3,X1,X2) ),
inference(rename_variables,[],[i_0_132]) ).
cnf(i_0_391,plain,
( aDivisorOf0(xb,xb)
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_287,i_0_291,i_0_293,i_0_297,i_0_298,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342,i_0_343,i_0_132,i_0_184]) ).
cnf(i_0_392,plain,
( ~ aElement0(X1)
| ~ doDivides0(X1,X2)
| ~ aElement0(X2)
| aDivisorOf0(X1,X2) ),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_393,plain,
( ~ aGcdOfAnd0(sdtasdt0(xc,esk22_0),xa,xa)
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_284,i_0_287,i_0_291,i_0_293,i_0_297,i_0_298,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342,i_0_343,i_0_132,i_0_184,i_0_226,i_0_337]) ).
cnf(i_0_394,plain,
( ~ aGcdOfAnd0(xb,sdtasdt0(xu,esk41_0),xa)
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_284,i_0_287,i_0_291,i_0_293,i_0_297,i_0_298,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342,i_0_343,i_0_132,i_0_184,i_0_226,i_0_337,i_0_338]) ).
cnf(i_0_395,plain,
( ~ aGcdOfAnd0(xb,xa,sdtasdt0(xu,esk41_0))
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_284,i_0_287,i_0_291,i_0_293,i_0_297,i_0_298,i_0_302,i_0_248,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342,i_0_343,i_0_132,i_0_184,i_0_226,i_0_337,i_0_338,i_0_339]) ).
cnf(i_0_396,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| aDivisorOf0(X3,X2)
| ~ aGcdOfAnd0(X3,X1,X2) ),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_397,plain,
( ~ doDivides0(xb,xa)
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_284,i_0_287,i_0_291,i_0_293,i_0_297,i_0_298,i_0_302,i_0_248,i_0_251,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342,i_0_343,i_0_132,i_0_184,i_0_226,i_0_337,i_0_338,i_0_339,i_0_133,i_0_142,i_0_172]) ).
cnf(i_0_398,plain,
( ~ aDivisorOf0(X1,xb)
| ~ doDivides0(X1,xa)
| doDivides0(X1,xc)
| ~ aElement0(X1) ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_399,plain,
( sdtpldt0(esk3_4(xI,xI,sdtpldt1(xI,xI),X1),esk4_4(xI,xI,sdtpldt1(xI,xI),X1)) = X1
| ~ aElementOf0(X1,sdtpldt1(xI,xI))
| doDivides0(xb,xc) ),
inference(scs_inference,[],[i_0_176,i_0_245,i_0_263,i_0_264,i_0_282,i_0_283,i_0_284,i_0_287,i_0_291,i_0_293,i_0_297,i_0_298,i_0_302,i_0_248,i_0_251,i_0_271,i_0_272,i_0_274,i_0_275,i_0_280,i_0_240,i_0_177,i_0_307,i_0_182,i_0_227,i_0_349,i_0_350,i_0_308,i_0_331,i_0_335,i_0_336,i_0_340,i_0_341,i_0_171,i_0_174,i_0_352,i_0_183,i_0_342,i_0_343,i_0_132,i_0_184,i_0_337,i_0_338,i_0_339,i_0_346]) ).
cnf(i_0_400,plain,
xb = sdtasdt0(xc,esk22_0),
inference(scs_inference,[],[i_0_272,i_0_307]) ).
cnf(i_0_401,plain,
$false,
inference(scs_inference,[],[i_0_272,i_0_268,i_0_303,i_0_363,i_0_307,i_0_175]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG124+4 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 5 01:52:02 EDT 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % start to proof: theBenchmark
% 0.32/5.62 % Version : CSE_E---1.7
% 0.32/5.62 % Problem : theBenchmark.p
% 0.32/5.62 % SZS status Theorem for theBenchmark.p
% 0.32/5.62 % SZS output start CNFRefutation
% See solution above
% 0.63/5.93 % Total time : 5.282s
%------------------------------------------------------------------------------