TSTP Solution File: NUM526+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM526+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:07:33 EDT 2023
% Result : Theorem 1179.24s 153.15s
% Output : CNFRefutation 1179.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 39
% Syntax : Number of formulae : 342 ( 110 unt; 0 def)
% Number of atoms : 1126 ( 426 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 1325 ( 541 ~; 604 |; 125 &)
% ( 5 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 356 ( 0 sgn; 140 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mDefDiv) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mSortsB_02) ).
fof(mDefQuot,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mDefQuot) ).
fof(m__3082,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m__3082) ).
fof(m__2987,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m__2987) ).
fof(m__3046,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m__3046) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mAMDistr) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m_MulZero) ).
fof(m__3059,hypothesis,
( aNaturalNumber0(xq)
& xn = sdtasdt0(xp,xq)
& xq = sdtsldt0(xn,xp) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m__3059) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m_MulUnit) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mSortsC) ).
fof(m__3014,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m__3014) ).
fof(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mPrimDiv) ).
fof(m__3025,hypothesis,
( xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m__3025) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mSortsC_01) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m_AddZero) ).
fof(mDefPrime,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mDefPrime) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mSortsB) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mDefDiff) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mMulComm) ).
fof(mMulCanc,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mMulCanc) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mMulAsso) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mAddComm) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mMonMul2) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mLETotal) ).
fof(mZeroMul,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mZeroMul) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mDivLE) ).
fof(mLETran,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mLETran) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mLEAsym) ).
fof(mMonAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mMonAdd) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mZeroAdd) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mAddAsso) ).
fof(m__,conjecture,
( xm != xn
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xn )
| sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',m__) ).
fof(mPDP,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( isPrime0(X3)
& doDivides0(X3,sdtasdt0(X1,X2)) )
=> ( doDivides0(X3,X1)
| doDivides0(X3,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mPDP) ).
fof(mLENTr,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mLENTr) ).
fof(mDivTrans,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mDivTrans) ).
fof(mMonMul,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mMonMul) ).
fof(mDivAsso,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p',mDivAsso) ).
fof(c_0_39,plain,
! [X62,X63,X65] :
( ( aNaturalNumber0(esk2_2(X62,X63))
| ~ doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) )
& ( X63 = sdtasdt0(X62,esk2_2(X62,X63))
| ~ doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) )
& ( ~ aNaturalNumber0(X65)
| X63 != sdtasdt0(X62,X65)
| doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) ) ),
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(c_0_40,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X9)
| aNaturalNumber0(sdtasdt0(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_41,plain,
! [X66,X67,X68] :
( ( aNaturalNumber0(X68)
| X68 != sdtsldt0(X67,X66)
| X66 = sz00
| ~ doDivides0(X66,X67)
| ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X67) )
& ( X67 = sdtasdt0(X66,X68)
| X68 != sdtsldt0(X67,X66)
| X66 = sz00
| ~ doDivides0(X66,X67)
| ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X67) )
& ( ~ aNaturalNumber0(X68)
| X67 != sdtasdt0(X66,X68)
| X68 = sdtsldt0(X67,X66)
| X66 = sz00
| ~ doDivides0(X66,X67)
| ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X67) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
cnf(c_0_42,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(split_conjunct,[status(thm)],[m__3082]) ).
cnf(c_0_45,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_46,plain,
( X1 = sdtsldt0(X2,X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_43]) ).
fof(c_0_48,hypothesis,
( aNaturalNumber0(esk7_0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,esk7_0)
& doDivides0(xp,sdtasdt0(xn,xn))
& aNaturalNumber0(esk8_0)
& xn = sdtasdt0(xp,esk8_0)
& doDivides0(xp,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__3046])]) ).
fof(c_0_49,plain,
! [X23,X24,X25] :
( ( sdtasdt0(X23,sdtpldt0(X24,X25)) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,X25))
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(X25) )
& ( sdtasdt0(sdtpldt0(X24,X25),X23) = sdtpldt0(sdtasdt0(X24,X23),sdtasdt0(X25,X23))
| ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X24)
| ~ aNaturalNumber0(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(c_0_50,plain,
! [X22] :
( ( sdtasdt0(X22,sz00) = sz00
| ~ aNaturalNumber0(X22) )
& ( sz00 = sdtasdt0(sz00,X22)
| ~ aNaturalNumber0(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
cnf(c_0_51,hypothesis,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_52,hypothesis,
aNaturalNumber0(xq),
inference(split_conjunct,[status(thm)],[m__3059]) ).
cnf(c_0_53,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_46]),c_0_43]),c_0_47]) ).
cnf(c_0_54,hypothesis,
sdtasdt0(xn,xn) = sdtasdt0(xp,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,hypothesis,
aNaturalNumber0(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_57,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_58,hypothesis,
xn != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
fof(c_0_59,plain,
! [X21] :
( ( sdtasdt0(X21,sz10) = X21
| ~ aNaturalNumber0(X21) )
& ( X21 = sdtasdt0(sz10,X21)
| ~ aNaturalNumber0(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
cnf(c_0_60,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_63,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[m__3014]) ).
cnf(c_0_64,hypothesis,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_52])]) ).
cnf(c_0_65,hypothesis,
sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_45]),c_0_55])]),c_0_56]) ).
fof(c_0_66,plain,
! [X86] :
( ( aNaturalNumber0(esk4_1(X86))
| ~ aNaturalNumber0(X86)
| X86 = sz00
| X86 = sz10 )
& ( doDivides0(esk4_1(X86),X86)
| ~ aNaturalNumber0(X86)
| X86 = sz00
| X86 = sz10 )
& ( isPrime0(esk4_1(X86))
| ~ aNaturalNumber0(X86)
| X86 = sz00
| X86 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
fof(c_0_67,hypothesis,
! [X96,X97] :
( xp != sz10
& ( ~ aNaturalNumber0(X97)
| xp != sdtasdt0(X96,X97)
| ~ aNaturalNumber0(X96)
| X96 = sz10
| X96 = xp )
& ( ~ doDivides0(X96,xp)
| ~ aNaturalNumber0(X96)
| X96 = sz10
| X96 = xp )
& isPrime0(xp) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3025])])])]) ).
cnf(c_0_68,plain,
( X1 = sdtasdt0(X2,X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_69,hypothesis,
( sdtsldt0(sdtasdt0(xn,X1),xn) = X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_57]),c_0_58]) ).
cnf(c_0_70,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_72,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_73,hypothesis,
xm != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_74,plain,
( sdtpldt0(sdtasdt0(X1,X2),sz00) = sdtasdt0(X1,sdtpldt0(X2,sz00))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_75,hypothesis,
sdtasdt0(xm,xm) = esk7_0,
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_63]),c_0_45]),c_0_64])]),c_0_56]),c_0_65]) ).
fof(c_0_76,plain,
! [X15] :
( ( sdtpldt0(X15,sz00) = X15
| ~ aNaturalNumber0(X15) )
& ( X15 = sdtpldt0(sz00,X15)
| ~ aNaturalNumber0(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
fof(c_0_77,plain,
! [X83,X84] :
( ( X83 != sz00
| ~ isPrime0(X83)
| ~ aNaturalNumber0(X83) )
& ( X83 != sz10
| ~ isPrime0(X83)
| ~ aNaturalNumber0(X83) )
& ( ~ aNaturalNumber0(X84)
| ~ doDivides0(X84,X83)
| X84 = sz10
| X84 = X83
| ~ isPrime0(X83)
| ~ aNaturalNumber0(X83) )
& ( aNaturalNumber0(esk3_1(X83))
| X83 = sz00
| X83 = sz10
| isPrime0(X83)
| ~ aNaturalNumber0(X83) )
& ( doDivides0(esk3_1(X83),X83)
| X83 = sz00
| X83 = sz10
| isPrime0(X83)
| ~ aNaturalNumber0(X83) )
& ( esk3_1(X83) != sz10
| X83 = sz00
| X83 = sz10
| isPrime0(X83)
| ~ aNaturalNumber0(X83) )
& ( esk3_1(X83) != X83
| X83 = sz00
| X83 = sz10
| isPrime0(X83)
| ~ aNaturalNumber0(X83) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrime])])])])]) ).
cnf(c_0_78,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_79,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_81,plain,
! [X36,X37,X39] :
( ( aNaturalNumber0(esk1_2(X36,X37))
| ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) )
& ( sdtpldt0(X36,esk1_2(X36,X37)) = X37
| ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) )
& ( ~ aNaturalNumber0(X39)
| sdtpldt0(X36,X39) != X37
| sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])]) ).
fof(c_0_82,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| aNaturalNumber0(sdtpldt0(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_83,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_84,hypothesis,
sdtsldt0(xn,xn) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_57])]) ).
cnf(c_0_85,hypothesis,
( sdtsldt0(sdtasdt0(xm,X1),xm) = X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_72]),c_0_73]) ).
cnf(c_0_86,hypothesis,
sdtasdt0(xm,sdtpldt0(xm,sz00)) = sdtpldt0(esk7_0,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_72])]) ).
cnf(c_0_87,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,plain,
( X1 = sz10
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,hypothesis,
doDivides0(esk4_1(xp),xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_45]),c_0_56]),c_0_79]) ).
cnf(c_0_90,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_91,hypothesis,
aNaturalNumber0(esk4_1(xp)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_45]),c_0_56]),c_0_79]) ).
fof(c_0_92,plain,
! [X40,X41,X42] :
( ( aNaturalNumber0(X42)
| X42 != sdtmndt0(X41,X40)
| ~ sdtlseqdt0(X40,X41)
| ~ aNaturalNumber0(X40)
| ~ aNaturalNumber0(X41) )
& ( sdtpldt0(X40,X42) = X41
| X42 != sdtmndt0(X41,X40)
| ~ sdtlseqdt0(X40,X41)
| ~ aNaturalNumber0(X40)
| ~ aNaturalNumber0(X41) )
& ( ~ aNaturalNumber0(X42)
| sdtpldt0(X40,X42) != X41
| X42 = sdtmndt0(X41,X40)
| ~ sdtlseqdt0(X40,X41)
| ~ aNaturalNumber0(X40)
| ~ aNaturalNumber0(X41) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
cnf(c_0_93,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_94,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_95,plain,
! [X16,X17] :
( ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X17)
| sdtasdt0(X16,X17) = sdtasdt0(X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_96,hypothesis,
( sdtasdt0(xn,sz10) = xn
| ~ doDivides0(xn,xn) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_57])]),c_0_58]) ).
cnf(c_0_97,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_70]),c_0_71])]) ).
cnf(c_0_98,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_99,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_100,hypothesis,
sdtsldt0(xm,xm) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_70]),c_0_71]),c_0_72])]) ).
cnf(c_0_101,hypothesis,
sdtpldt0(esk7_0,sz00) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_75]),c_0_72])]) ).
fof(c_0_102,plain,
! [X29,X30,X31] :
( ( sdtasdt0(X29,X30) != sdtasdt0(X29,X31)
| X30 = X31
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(X31)
| X29 = sz00
| ~ aNaturalNumber0(X29) )
& ( sdtasdt0(X30,X29) != sdtasdt0(X31,X29)
| X30 = X31
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(X31)
| X29 = sz00
| ~ aNaturalNumber0(X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
cnf(c_0_103,hypothesis,
( esk4_1(xp) = xp
| esk4_1(xp) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_45]),c_0_91])]) ).
cnf(c_0_104,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_105,plain,
( X1 = sdtmndt0(X3,X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_106,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_94]) ).
cnf(c_0_107,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_108,hypothesis,
sdtasdt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_57])]) ).
cnf(c_0_109,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_98]),c_0_71])]) ).
cnf(c_0_110,plain,
( sdtsldt0(sdtasdt0(sz10,X1),sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_71]),c_0_99]) ).
cnf(c_0_111,hypothesis,
sdtsldt0(sz00,xn) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_61]),c_0_62]),c_0_57])]) ).
fof(c_0_112,plain,
! [X18,X19,X20] :
( ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| sdtasdt0(sdtasdt0(X18,X19),X20) = sdtasdt0(X18,sdtasdt0(X19,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_113,hypothesis,
( sdtasdt0(xm,sz10) = xm
| ~ doDivides0(xm,xm) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_100]),c_0_72])]),c_0_73]) ).
cnf(c_0_114,hypothesis,
sdtasdt0(xm,sdtpldt0(xm,sz00)) = esk7_0,
inference(rw,[status(thm)],[c_0_86,c_0_101]) ).
cnf(c_0_115,hypothesis,
sdtsldt0(esk7_0,xm) = xm,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_75]),c_0_72])]),c_0_73]) ).
cnf(c_0_116,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_117,plain,
( isPrime0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_118,hypothesis,
( esk4_1(xp) = sz10
| doDivides0(xp,xp) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_103]),c_0_45])]),c_0_56]),c_0_79]) ).
cnf(c_0_119,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_104]),c_0_71])]) ).
cnf(c_0_120,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_105]),c_0_94]),c_0_106]) ).
cnf(c_0_121,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_70]),c_0_71])]) ).
cnf(c_0_122,hypothesis,
sdtasdt0(sz10,xn) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_71]),c_0_57])]) ).
cnf(c_0_123,plain,
( sdtasdt0(sz10,sdtsldt0(X1,sz10)) = X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_109]),c_0_71])]),c_0_99]) ).
cnf(c_0_124,plain,
sdtsldt0(sz10,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_70]),c_0_71])]) ).
cnf(c_0_125,hypothesis,
( sdtasdt0(xn,sz00) = sz00
| ~ doDivides0(xn,sz00) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_111]),c_0_57]),c_0_62])]),c_0_58]) ).
cnf(c_0_126,plain,
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_61]),c_0_62])]) ).
cnf(c_0_127,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_128,hypothesis,
xn = sdtasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[m__3059]) ).
fof(c_0_129,plain,
! [X10,X11] :
( ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X11)
| sdtpldt0(X10,X11) = sdtpldt0(X11,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_130,hypothesis,
sdtasdt0(xm,sz10) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_97]),c_0_72])]) ).
cnf(c_0_131,hypothesis,
( sdtpldt0(xm,sz00) = xm
| ~ aNaturalNumber0(sdtpldt0(xm,sz00)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_114]),c_0_115]),c_0_72])]),c_0_73]) ).
cnf(c_0_132,hypothesis,
( X1 = xq
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_52]) ).
cnf(c_0_133,hypothesis,
doDivides0(xp,xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_45])]),c_0_56]),c_0_79]),c_0_119]) ).
cnf(c_0_134,hypothesis,
( sdtsldt0(sdtasdt0(xp,X1),xp) = X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_56]) ).
cnf(c_0_135,plain,
( sdtmndt0(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtasdt0(X1,X2)) = sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_60]),c_0_43]),c_0_43]) ).
cnf(c_0_136,hypothesis,
sdtasdt0(sz10,sdtpldt0(xn,sz10)) = sdtpldt0(xn,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_57]),c_0_71])]) ).
cnf(c_0_137,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_71])]) ).
cnf(c_0_138,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_60]),c_0_43]),c_0_43]) ).
cnf(c_0_139,plain,
( aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_60]),c_0_43]),c_0_43]) ).
fof(c_0_140,plain,
! [X58,X59] :
( ~ aNaturalNumber0(X58)
| ~ aNaturalNumber0(X59)
| X58 = sz00
| sdtlseqdt0(X59,sdtasdt0(X59,X58)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
cnf(c_0_141,hypothesis,
sdtasdt0(xn,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_57])]) ).
cnf(c_0_142,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = esk7_0,
inference(rw,[status(thm)],[c_0_44,c_0_75]) ).
cnf(c_0_143,hypothesis,
( sdtasdt0(xp,sdtasdt0(xq,X1)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_52]),c_0_45])]) ).
cnf(c_0_144,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
fof(c_0_145,plain,
! [X49,X50] :
( ( X50 != X49
| sdtlseqdt0(X49,X50)
| ~ aNaturalNumber0(X49)
| ~ aNaturalNumber0(X50) )
& ( sdtlseqdt0(X50,X49)
| sdtlseqdt0(X49,X50)
| ~ aNaturalNumber0(X49)
| ~ aNaturalNumber0(X50) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
cnf(c_0_146,hypothesis,
( sdtpldt0(xm,sdtasdt0(xm,X1)) = sdtasdt0(xm,sdtpldt0(sz10,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_130]),c_0_71]),c_0_72])]) ).
cnf(c_0_147,hypothesis,
sdtpldt0(xm,sz00) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_94]),c_0_62]),c_0_72])]) ).
fof(c_0_148,plain,
! [X34,X35] :
( ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X35)
| sdtasdt0(X34,X35) != sz00
| X34 = sz00
| X35 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
fof(c_0_149,plain,
! [X78,X79] :
( ~ aNaturalNumber0(X78)
| ~ aNaturalNumber0(X79)
| ~ doDivides0(X78,X79)
| X79 = sz00
| sdtlseqdt0(X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
cnf(c_0_150,hypothesis,
( X1 = xq
| sdtasdt0(xp,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_128]),c_0_45])]),c_0_56]) ).
cnf(c_0_151,hypothesis,
sdtasdt0(xp,sdtsldt0(xp,xp)) = xp,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_133]),c_0_45])]),c_0_56]) ).
cnf(c_0_152,hypothesis,
sdtsldt0(xp,xp) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_70]),c_0_71]),c_0_45])]) ).
cnf(c_0_153,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_154,hypothesis,
sdtmndt0(sdtpldt0(xn,sz10),xn) = sz10,
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_135,c_0_136]),c_0_122]),c_0_137]),c_0_71]),c_0_57])]) ).
cnf(c_0_155,hypothesis,
sdtlseqdt0(xn,sdtpldt0(xn,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_136]),c_0_122]),c_0_71]),c_0_57])]) ).
cnf(c_0_156,hypothesis,
aNaturalNumber0(sdtpldt0(xn,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_136]),c_0_71]),c_0_57])]) ).
fof(c_0_157,plain,
! [X46,X47,X48] :
( ~ aNaturalNumber0(X46)
| ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X48)
| ~ sdtlseqdt0(X46,X47)
| ~ sdtlseqdt0(X47,X48)
| sdtlseqdt0(X46,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
cnf(c_0_158,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_159,hypothesis,
( sdtpldt0(sz00,sdtasdt0(xn,X1)) = sdtasdt0(xn,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_141]),c_0_62]),c_0_57])]) ).
cnf(c_0_160,hypothesis,
sdtasdt0(xn,xq) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_52])]) ).
cnf(c_0_161,hypothesis,
sdtpldt0(sz00,esk7_0) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_101]),c_0_62]),c_0_55])]) ).
fof(c_0_162,plain,
! [X44,X45] :
( ~ aNaturalNumber0(X44)
| ~ aNaturalNumber0(X45)
| ~ sdtlseqdt0(X44,X45)
| ~ sdtlseqdt0(X45,X44)
| X44 = X45 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
cnf(c_0_163,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_164,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_165,hypothesis,
sdtasdt0(xm,sdtpldt0(sz10,sz00)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_61]),c_0_147]),c_0_62]),c_0_72])]) ).
cnf(c_0_166,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_167,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_168,hypothesis,
doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_169,hypothesis,
( xq = sz10
| xp != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_70]),c_0_71]),c_0_45])]) ).
cnf(c_0_170,hypothesis,
sdtasdt0(xp,sz10) = xp,
inference(rw,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_171,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_172,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_153]) ).
cnf(c_0_173,hypothesis,
sdtmndt0(sdtpldt0(sz10,xn),xn) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_144]),c_0_71]),c_0_57])]) ).
cnf(c_0_174,hypothesis,
sdtlseqdt0(xn,sdtpldt0(sz10,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_144]),c_0_71]),c_0_57])]) ).
cnf(c_0_175,hypothesis,
aNaturalNumber0(sdtpldt0(sz10,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_144]),c_0_71]),c_0_57])]) ).
fof(c_0_176,plain,
! [X51,X52,X53] :
( ( sdtpldt0(X53,X51) != sdtpldt0(X53,X52)
| ~ aNaturalNumber0(X53)
| X51 = X52
| ~ sdtlseqdt0(X51,X52)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) )
& ( sdtlseqdt0(sdtpldt0(X53,X51),sdtpldt0(X53,X52))
| ~ aNaturalNumber0(X53)
| X51 = X52
| ~ sdtlseqdt0(X51,X52)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) )
& ( sdtpldt0(X51,X53) != sdtpldt0(X52,X53)
| ~ aNaturalNumber0(X53)
| X51 = X52
| ~ sdtlseqdt0(X51,X52)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) )
& ( sdtlseqdt0(sdtpldt0(X51,X53),sdtpldt0(X52,X53))
| ~ aNaturalNumber0(X53)
| X51 = X52
| ~ sdtlseqdt0(X51,X52)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
cnf(c_0_177,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_178,hypothesis,
sdtlseqdt0(xm,esk7_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_75]),c_0_72])]),c_0_73]) ).
cnf(c_0_179,hypothesis,
sdtasdt0(xn,sdtpldt0(sz00,xq)) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_52])]) ).
cnf(c_0_180,hypothesis,
sdtsldt0(esk7_0,xn) = xq,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_160]),c_0_57]),c_0_52])]),c_0_58]) ).
cnf(c_0_181,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_182,plain,
( sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_163]),c_0_62])]) ).
cnf(c_0_183,hypothesis,
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_72]) ).
fof(c_0_184,plain,
! [X32,X33] :
( ( X32 = sz00
| sdtpldt0(X32,X33) != sz00
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X33) )
& ( X33 = sz00
| sdtpldt0(X32,X33) != sz00
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
fof(c_0_185,plain,
! [X12,X13,X14] :
( ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X13)
| ~ aNaturalNumber0(X14)
| sdtpldt0(sdtpldt0(X12,X13),X14) = sdtpldt0(X12,sdtpldt0(X13,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
cnf(c_0_186,hypothesis,
( sdtpldt0(sz10,sz00) = sz10
| ~ aNaturalNumber0(sdtpldt0(sz10,sz00)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_165]),c_0_100]),c_0_72])]),c_0_73]) ).
cnf(c_0_187,plain,
( sdtsldt0(sdtasdt0(X1,sz10),sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_107]),c_0_71])]) ).
cnf(c_0_188,hypothesis,
( doDivides0(xp,esk7_0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_142]),c_0_45])]) ).
cnf(c_0_189,hypothesis,
esk7_0 != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_75]),c_0_72])]),c_0_73]) ).
fof(c_0_190,negated_conjecture,
~ ( xm != xn
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xn )
| sdtlseqdt0(xm,xn) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_191,hypothesis,
sdtlseqdt0(xp,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_57]),c_0_45])]),c_0_58]) ).
cnf(c_0_192,hypothesis,
( esk7_0 = xp
| xp != xn ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_169]),c_0_137]),c_0_170]) ).
fof(c_0_193,plain,
! [X88,X89,X90] :
( ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90)
| ~ isPrime0(X90)
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(X90,X88)
| doDivides0(X90,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPDP])]) ).
cnf(c_0_194,plain,
( sdtpldt0(sdtasdt0(X1,X2),X2) = sdtasdt0(sdtpldt0(X1,sz10),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_98]),c_0_71])]) ).
cnf(c_0_195,hypothesis,
sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_175]),c_0_57])]) ).
cnf(c_0_196,hypothesis,
( sdtasdt0(sz10,xq) = xq
| ~ aNaturalNumber0(sdtasdt0(sz10,xq)) ),
inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_98]),c_0_71])]),c_0_99])]) ).
cnf(c_0_197,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X2))
| X1 = X3
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_198,hypothesis,
( sdtlseqdt0(X1,esk7_0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_55]),c_0_72])]) ).
cnf(c_0_199,hypothesis,
( sdtpldt0(sz00,xq) = xq
| ~ aNaturalNumber0(sdtpldt0(sz00,xq)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_179]),c_0_180]),c_0_57])]),c_0_58]) ).
cnf(c_0_200,plain,
( X1 = sz00
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_62])]) ).
cnf(c_0_201,hypothesis,
( sdtlseqdt0(xm,sz00)
| sdtlseqdt0(sz00,xm) ),
inference(spm,[status(thm)],[c_0_183,c_0_62]) ).
cnf(c_0_202,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_203,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_204,hypothesis,
sdtpldt0(sz10,sz00) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_94]),c_0_62]),c_0_71])]) ).
cnf(c_0_205,plain,
( sdtasdt0(sz10,X1) = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_187]) ).
cnf(c_0_206,hypothesis,
( sdtlseqdt0(xp,esk7_0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_188]),c_0_55]),c_0_45])]),c_0_189]) ).
fof(c_0_207,plain,
! [X57] :
( ( sz10 != X57
| X57 = sz00
| X57 = sz10
| ~ aNaturalNumber0(X57) )
& ( sdtlseqdt0(sz10,X57)
| X57 = sz00
| X57 = sz10
| ~ aNaturalNumber0(X57) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).
fof(c_0_208,negated_conjecture,
! [X100] :
( ( ~ aNaturalNumber0(X100)
| sdtpldt0(xm,X100) != xn
| xm = xn )
& ( ~ sdtlseqdt0(xm,xn)
| xm = xn ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_190])])])]) ).
cnf(c_0_209,hypothesis,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_191]),c_0_57]),c_0_45])]) ).
cnf(c_0_210,hypothesis,
( sdtlseqdt0(xm,xp)
| xp != xn ),
inference(spm,[status(thm)],[c_0_178,c_0_192]) ).
cnf(c_0_211,plain,
( doDivides0(X3,X1)
| doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X3)
| ~ doDivides0(X3,sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
fof(c_0_212,plain,
! [X69,X70,X71] :
( ~ aNaturalNumber0(X69)
| ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X71)
| ~ doDivides0(X69,X70)
| ~ doDivides0(X70,X71)
| doDivides0(X69,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
cnf(c_0_213,plain,
( doDivides0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_127]),c_0_43]) ).
cnf(c_0_214,plain,
( sdtmndt0(sdtasdt0(sdtpldt0(X1,X2),X3),sdtasdt0(X1,X3)) = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_171]),c_0_43]),c_0_43]) ).
cnf(c_0_215,hypothesis,
sdtasdt0(sdtpldt0(sz10,xn),xq) = sdtpldt0(esk7_0,xq),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_160]),c_0_52]),c_0_57])]),c_0_195]) ).
cnf(c_0_216,hypothesis,
sdtasdt0(sz10,xq) = xq,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_43]),c_0_52]),c_0_71])]) ).
cnf(c_0_217,hypothesis,
( X1 = esk7_0
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(esk7_0,X2))
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_55])]) ).
cnf(c_0_218,hypothesis,
sdtpldt0(sz00,xq) = xq,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_94]),c_0_52]),c_0_62])]) ).
cnf(c_0_219,hypothesis,
sdtlseqdt0(sz00,xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_72])]),c_0_73]) ).
cnf(c_0_220,plain,
( X1 = sz00
| sdtpldt0(X2,sdtpldt0(X3,X1)) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_94]) ).
cnf(c_0_221,hypothesis,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_204]),c_0_62]),c_0_71])]) ).
cnf(c_0_222,plain,
( sdtasdt0(sz10,X1) = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_43]),c_0_71])]) ).
cnf(c_0_223,hypothesis,
( sdtlseqdt0(X1,esk7_0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_206]),c_0_55]),c_0_45])]) ).
cnf(c_0_224,plain,
( sdtlseqdt0(sz10,X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_225,hypothesis,
sdtlseqdt0(esk4_1(xp),xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_89]),c_0_45]),c_0_91])]),c_0_56]) ).
cnf(c_0_226,hypothesis,
( X1 = esk7_0
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,esk7_0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_55]) ).
cnf(c_0_227,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_228,hypothesis,
( sdtlseqdt0(xm,xn)
| xp != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_72])]) ).
cnf(c_0_229,hypothesis,
( doDivides0(X1,xm)
| ~ isPrime0(X1)
| ~ doDivides0(X1,esk7_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_75]),c_0_72])]) ).
cnf(c_0_230,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_231,hypothesis,
doDivides0(xn,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_142]),c_0_128]),c_0_52]),c_0_45])]) ).
cnf(c_0_232,hypothesis,
sdtmndt0(sdtpldt0(esk7_0,xq),xq) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_160]),c_0_52]),c_0_57]),c_0_71])]) ).
cnf(c_0_233,hypothesis,
sdtlseqdt0(xq,sdtpldt0(esk7_0,xq)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_52]),c_0_62])]),c_0_189]) ).
cnf(c_0_234,hypothesis,
aNaturalNumber0(sdtpldt0(esk7_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_215]),c_0_52]),c_0_175])]) ).
cnf(c_0_235,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_236,hypothesis,
( sdtpldt0(X1,sz10) != sz00
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_71]),c_0_62])]),c_0_99]) ).
cnf(c_0_237,plain,
( sdtpldt0(sdtasdt0(sz10,X1),X2) = sdtasdt0(sz10,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_98]),c_0_71])]) ).
cnf(c_0_238,plain,
( aNaturalNumber0(sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_222]),c_0_71])]) ).
fof(c_0_239,plain,
! [X54,X55,X56] :
( ( sdtasdt0(X54,X55) != sdtasdt0(X54,X56)
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtlseqdt0(sdtasdt0(X54,X55),sdtasdt0(X54,X56))
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtasdt0(X55,X54) != sdtasdt0(X56,X54)
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtlseqdt0(sdtasdt0(X55,X54),sdtasdt0(X56,X54))
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
cnf(c_0_240,hypothesis,
( esk7_0 = X1
| ~ sdtlseqdt0(esk7_0,X1)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_223]),c_0_55])]) ).
cnf(c_0_241,hypothesis,
sdtlseqdt0(sz10,xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_45]),c_0_56]),c_0_79]) ).
cnf(c_0_242,hypothesis,
( esk4_1(xp) = sz10
| sdtlseqdt0(xp,xp) ),
inference(spm,[status(thm)],[c_0_225,c_0_103]) ).
cnf(c_0_243,hypothesis,
( X1 = esk7_0
| sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_54]),c_0_45])]),c_0_56]) ).
cnf(c_0_244,negated_conjecture,
( xm = xn
| xp != xn ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_245,hypothesis,
( doDivides0(xp,xm)
| ~ doDivides0(xp,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_90]),c_0_45])]) ).
cnf(c_0_246,hypothesis,
( doDivides0(X1,esk7_0)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_55]),c_0_57])]) ).
cnf(c_0_247,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_248,hypothesis,
sdtpldt0(esk7_0,xq) = sdtpldt0(xq,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_232]),c_0_233]),c_0_234]),c_0_52])]) ).
cnf(c_0_249,hypothesis,
( X1 = xq
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(xq,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_52]) ).
cnf(c_0_250,hypothesis,
( sdtasdt0(sz10,sdtpldt0(X1,sz10)) != sz00
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_71])]),c_0_238]) ).
cnf(c_0_251,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_252,hypothesis,
( sdtlseqdt0(X1,xq)
| sdtlseqdt0(xq,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_52]) ).
cnf(c_0_253,hypothesis,
( esk7_0 = X1
| ~ sdtlseqdt0(esk7_0,X1)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_43]),c_0_52])]) ).
cnf(c_0_254,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,sz10)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_241]),c_0_45]),c_0_71])]) ).
cnf(c_0_255,hypothesis,
sdtlseqdt0(xp,xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_242]),c_0_45])]),c_0_56]),c_0_79]),c_0_119]) ).
cnf(c_0_256,hypothesis,
( esk7_0 = sz10
| sdtasdt0(xn,xn) != xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_70]),c_0_71]),c_0_45])]) ).
cnf(c_0_257,hypothesis,
( sdtasdt0(xn,xn) = esk7_0
| xp != xn ),
inference(spm,[status(thm)],[c_0_75,c_0_244]) ).
cnf(c_0_258,plain,
( sdtlseqdt0(X1,sz10)
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_71]) ).
fof(c_0_259,plain,
! [X80,X81,X82] :
( ~ aNaturalNumber0(X80)
| ~ aNaturalNumber0(X81)
| X80 = sz00
| ~ doDivides0(X80,X81)
| ~ aNaturalNumber0(X82)
| sdtasdt0(X82,sdtsldt0(X81,X80)) = sdtsldt0(sdtasdt0(X82,X81),X80) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).
cnf(c_0_260,hypothesis,
doDivides0(xp,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_168]),c_0_45])]) ).
cnf(c_0_261,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_247]) ).
cnf(c_0_262,hypothesis,
sdtasdt0(sdtpldt0(sz10,xn),xq) = sdtpldt0(xq,esk7_0),
inference(rw,[status(thm)],[c_0_215,c_0_248]) ).
cnf(c_0_263,hypothesis,
( sdtasdt0(xq,sz10) = xq
| ~ aNaturalNumber0(sdtasdt0(xq,sz10)) ),
inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_70]),c_0_71])]),c_0_99])]) ).
cnf(c_0_264,hypothesis,
( sdtasdt0(sz10,sdtpldt0(sz10,X1)) != sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_144]),c_0_71])]) ).
cnf(c_0_265,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_266,hypothesis,
( xq = X1
| sdtlseqdt0(xn,sdtasdt0(xp,X1))
| ~ sdtlseqdt0(xq,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_128]),c_0_52]),c_0_45])]),c_0_56]) ).
cnf(c_0_267,hypothesis,
( sdtlseqdt0(xq,sz10)
| sdtlseqdt0(sz10,xq) ),
inference(spm,[status(thm)],[c_0_252,c_0_71]) ).
cnf(c_0_268,hypothesis,
( esk7_0 = xp
| ~ sdtlseqdt0(esk7_0,sz10) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),c_0_45]),c_0_55])]) ).
cnf(c_0_269,hypothesis,
( esk7_0 = sz10
| xp != xn ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_192]) ).
cnf(c_0_270,plain,
sdtlseqdt0(sz10,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_258]),c_0_71])]) ).
cnf(c_0_271,plain,
( X1 = sz00
| sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_259]) ).
cnf(c_0_272,hypothesis,
sdtasdt0(xp,sdtsldt0(xm,xp)) = xm,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_260]),c_0_45]),c_0_72])]),c_0_56]) ).
cnf(c_0_273,hypothesis,
aNaturalNumber0(sdtsldt0(xm,xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_260]),c_0_45]),c_0_72])]),c_0_56]) ).
cnf(c_0_274,hypothesis,
xq = sdtsldt0(xn,xp),
inference(split_conjunct,[status(thm)],[m__3059]) ).
cnf(c_0_275,hypothesis,
sdtasdt0(xq,sdtpldt0(sz10,xn)) = sdtpldt0(xq,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_262]),c_0_52]),c_0_175])]) ).
cnf(c_0_276,hypothesis,
sdtasdt0(xq,sz10) = xq,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_43]),c_0_71]),c_0_52])]) ).
cnf(c_0_277,hypothesis,
sdtmndt0(sdtpldt0(xq,esk7_0),xq) = esk7_0,
inference(rw,[status(thm)],[c_0_232,c_0_248]) ).
cnf(c_0_278,hypothesis,
( sdtasdt0(sz10,X1) != sz00
| ~ sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(esk1_2(sz10,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_71])]) ).
cnf(c_0_279,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_280,hypothesis,
( xq = sz10
| sdtlseqdt0(sz10,xq)
| sdtlseqdt0(xn,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_170]),c_0_71])]) ).
cnf(c_0_281,hypothesis,
xp != xn,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270])]),c_0_79]) ).
cnf(c_0_282,hypothesis,
( sdtsldt0(sdtasdt0(X1,xp),xp) = X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_107]),c_0_45])]) ).
cnf(c_0_283,hypothesis,
( sdtasdt0(xm,sdtsldt0(xm,X1)) = sdtsldt0(esk7_0,X1)
| X1 = sz00
| ~ doDivides0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_75]),c_0_72])]) ).
cnf(c_0_284,hypothesis,
( sdtsldt0(xm,xp) = xq
| xm != xn ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_272]),c_0_128]),c_0_273]),c_0_45])]),c_0_56]) ).
cnf(c_0_285,hypothesis,
( sdtsldt0(sdtasdt0(X1,xn),xp) = sdtasdt0(X1,xq)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_168]),c_0_274]),c_0_57]),c_0_45])]),c_0_56]) ).
cnf(c_0_286,hypothesis,
sdtasdt0(xq,xn) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_275]),c_0_276]),c_0_277]),c_0_57]),c_0_71]),c_0_52])]) ).
cnf(c_0_287,hypothesis,
( sdtasdt0(sz10,X1) != sz00
| ~ sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_71])]) ).
cnf(c_0_288,hypothesis,
( xq = sz10
| sdtlseqdt0(sz10,xq) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_280]),c_0_191]),c_0_57]),c_0_45])]),c_0_281]) ).
cnf(c_0_289,hypothesis,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[c_0_183,c_0_57]) ).
cnf(c_0_290,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_107]) ).
cnf(c_0_291,hypothesis,
( sdtsldt0(sdtasdt0(X1,sdtasdt0(X2,xp)),xp) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_127]),c_0_45])]),c_0_43]) ).
cnf(c_0_292,hypothesis,
( sdtasdt0(xm,sdtasdt0(sz10,X1)) = sdtasdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_130]),c_0_71]),c_0_72])]) ).
cnf(c_0_293,plain,
( sdtsldt0(sdtasdt0(X1,X2),X2) = X1
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_107]) ).
cnf(c_0_294,hypothesis,
( sdtsldt0(sdtasdt0(X1,xm),xm) = X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_107]),c_0_72])]) ).
cnf(c_0_295,hypothesis,
( X1 = sz00
| sdtlseqdt0(esk7_0,sdtasdt0(esk7_0,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_55]) ).
cnf(c_0_296,hypothesis,
( X1 = xm
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_72]) ).
cnf(c_0_297,hypothesis,
( sdtsldt0(esk7_0,xp) = sdtasdt0(xm,xq)
| xm != xn ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_260]),c_0_45])]),c_0_56]) ).
cnf(c_0_298,hypothesis,
sdtsldt0(esk7_0,xp) = sdtasdt0(xq,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_52])]) ).
cnf(c_0_299,hypothesis,
( X1 = sz00
| sdtasdt0(X1,X1) != sdtasdt0(X1,xq)
| xq != sz00
| ~ aNaturalNumber0(X1) ),
inference(ef,[status(thm)],[c_0_132]) ).
cnf(c_0_300,hypothesis,
( xq = sz10
| xq != sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_216]),c_0_52])]) ).
cnf(c_0_301,hypothesis,
( sdtasdt0(sz10,esk7_0) = esk7_0
| ~ aNaturalNumber0(sdtasdt0(sz10,esk7_0)) ),
inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_98]),c_0_71])]),c_0_99])]) ).
cnf(c_0_302,negated_conjecture,
( xm = xn
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[c_0_227,c_0_289]) ).
cnf(c_0_303,plain,
( sdtasdt0(X1,sdtsldt0(sdtasdt0(X2,X1),X1)) = sdtasdt0(X2,X1)
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_290]),c_0_43]) ).
cnf(c_0_304,hypothesis,
sdtsldt0(sdtasdt0(xm,xp),xp) = xm,
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_291,c_0_292]),c_0_130]),c_0_71]),c_0_72]),c_0_45])]) ).
cnf(c_0_305,hypothesis,
sdtsldt0(sdtasdt0(xn,xn),esk7_0) = xp,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_54]),c_0_55]),c_0_45])]),c_0_189]) ).
cnf(c_0_306,hypothesis,
doDivides0(esk7_0,sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_54]),c_0_55]),c_0_45])]) ).
cnf(c_0_307,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_54]),c_0_55]),c_0_45])]) ).
cnf(c_0_308,hypothesis,
( sdtsldt0(sdtasdt0(X1,sdtasdt0(X2,xm)),xm) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_127]),c_0_72])]),c_0_43]) ).
cnf(c_0_309,hypothesis,
sdtlseqdt0(esk7_0,sdtasdt0(esk7_0,xp)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_45]),c_0_56]) ).
cnf(c_0_310,hypothesis,
( X1 = sz00
| X2 = xm
| sdtasdt0(X1,X2) != sdtasdt0(xm,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_107]),c_0_72])]) ).
cnf(c_0_311,hypothesis,
( sdtasdt0(xq,xq) = sdtasdt0(xm,xq)
| xm != xn ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_312,hypothesis,
xq != sz00,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_98]),c_0_137]),c_0_71]),c_0_52])]),c_0_99]),c_0_300]) ).
cnf(c_0_313,plain,
( X1 = sz10
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(sz10,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_71]) ).
cnf(c_0_314,hypothesis,
sdtasdt0(sz10,esk7_0) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_43]),c_0_55]),c_0_71])]) ).
cnf(c_0_315,negated_conjecture,
( xm = xn
| X1 = sz00
| sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_302]),c_0_72]),c_0_57])]) ).
cnf(c_0_316,hypothesis,
( sdtasdt0(xm,sdtasdt0(xm,X1)) = sdtasdt0(esk7_0,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_75]),c_0_72])]) ).
cnf(c_0_317,hypothesis,
sdtasdt0(xm,xp) = sdtasdt0(xp,xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_45]),c_0_72])]),c_0_56]) ).
cnf(c_0_318,hypothesis,
sdtasdt0(esk7_0,xp) = sdtasdt0(xn,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_305]),c_0_306]),c_0_55]),c_0_307])]),c_0_189]) ).
cnf(c_0_319,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xm) = xn,
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_308,c_0_143]),c_0_128]),c_0_52]),c_0_45]),c_0_72])]) ).
cnf(c_0_320,hypothesis,
sdtlseqdt0(esk7_0,sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_107]),c_0_54]),c_0_45]),c_0_55])]) ).
cnf(c_0_321,hypothesis,
( xq = xm
| xm != xn ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_52])]),c_0_312]) ).
cnf(c_0_322,hypothesis,
sdtasdt0(xn,xn) != esk7_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_54]),c_0_314]),c_0_55]),c_0_45])]),c_0_79]),c_0_189]) ).
cnf(c_0_323,hypothesis,
( xm = xn
| sdtlseqdt0(sdtasdt0(xm,xn),esk7_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_72]),c_0_75]),c_0_73]) ).
cnf(c_0_324,hypothesis,
( X1 = xn
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_57]) ).
cnf(c_0_325,hypothesis,
sdtasdt0(xm,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]),c_0_45])]) ).
cnf(c_0_326,hypothesis,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_319]),c_0_72]),c_0_57])]),c_0_73]) ).
cnf(c_0_327,hypothesis,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_317]),c_0_45]),c_0_72])]) ).
cnf(c_0_328,hypothesis,
( X1 = xn
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(xn,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_57]) ).
cnf(c_0_329,hypothesis,
( sdtlseqdt0(X1,sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,esk7_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_320]),c_0_307]),c_0_55])]) ).
cnf(c_0_330,hypothesis,
( xm = xn
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_57]),c_0_58]) ).
cnf(c_0_331,hypothesis,
xm != xn,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_321]),c_0_75]),c_0_54]),c_0_322]) ).
cnf(c_0_332,hypothesis,
( xm = xn
| sdtlseqdt0(sdtasdt0(xn,xm),esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_107]),c_0_57]),c_0_72])]) ).
cnf(c_0_333,hypothesis,
( sdtasdt0(xp,xm) = xn
| sdtasdt0(xn,xm) != sdtasdt0(xn,xn) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]),c_0_327]),c_0_72])]),c_0_73]) ).
cnf(c_0_334,hypothesis,
sdtasdt0(sz10,xm) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_130]),c_0_71]),c_0_72])]) ).
cnf(c_0_335,hypothesis,
( xm = xn
| sdtasdt0(xn,xm) != sdtasdt0(xn,xn) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_326]),c_0_57]),c_0_72])]),c_0_58]) ).
cnf(c_0_336,hypothesis,
( sdtasdt0(xn,xn) = X1
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X1)
| ~ sdtlseqdt0(X1,esk7_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_329]),c_0_307])]) ).
cnf(c_0_337,hypothesis,
sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm)),
inference(sr,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_338,hypothesis,
sdtlseqdt0(sdtasdt0(xn,xm),esk7_0),
inference(sr,[status(thm)],[c_0_332,c_0_331]) ).
cnf(c_0_339,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_326]),c_0_57]),c_0_72])]) ).
cnf(c_0_340,hypothesis,
sdtasdt0(xn,xm) != sdtasdt0(xn,xn),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_333]),c_0_334]),c_0_72]),c_0_45])]),c_0_79]),c_0_73]),c_0_335]) ).
cnf(c_0_341,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]),c_0_339])]),c_0_340]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM526+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 13:42:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.csjNecxwkc/E---3.1_4517.p
% 1179.24/153.15 # Version: 3.1pre001
% 1179.24/153.15 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1179.24/153.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1179.24/153.15 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1179.24/153.15 # Starting new_bool_3 with 300s (1) cores
% 1179.24/153.15 # Starting new_bool_1 with 300s (1) cores
% 1179.24/153.15 # Starting sh5l with 300s (1) cores
% 1179.24/153.15 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4594 completed with status 0
% 1179.24/153.15 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1179.24/153.15 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1179.24/153.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1179.24/153.15 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1179.24/153.15 # No SInE strategy applied
% 1179.24/153.15 # Search class: FGHSF-FSMM32-SFFFFFNN
% 1179.24/153.15 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1179.24/153.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 1179.24/153.15 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1179.24/153.15 # Starting new_bool_3 with 136s (1) cores
% 1179.24/153.15 # Starting new_bool_1 with 136s (1) cores
% 1179.24/153.15 # Starting sh5l with 136s (1) cores
% 1179.24/153.15 # new_bool_3 with pid 4602 completed with status 7
% 1179.24/153.15 # Starting G-E--_208_C18_F1_AE_CS_SP_PS_S0Y with 130s (1) cores
% 1179.24/153.15 # new_bool_1 with pid 4604 completed with status 7
% 1179.24/153.15 # sh5l with pid 4605 completed with status 7
% 1179.24/153.15 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 4598 completed with status 0
% 1179.24/153.15 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 1179.24/153.15 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1179.24/153.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1179.24/153.15 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1179.24/153.15 # No SInE strategy applied
% 1179.24/153.15 # Search class: FGHSF-FSMM32-SFFFFFNN
% 1179.24/153.15 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1179.24/153.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 1179.24/153.15 # Preprocessing time : 0.002 s
% 1179.24/153.15 # Presaturation interreduction done
% 1179.24/153.15
% 1179.24/153.15 # Proof found!
% 1179.24/153.15 # SZS status Theorem
% 1179.24/153.15 # SZS output start CNFRefutation
% See solution above
% 1179.24/153.15 # Parsed axioms : 47
% 1179.24/153.15 # Removed by relevancy pruning/SinE : 0
% 1179.24/153.15 # Initial clauses : 101
% 1179.24/153.15 # Removed in clause preprocessing : 3
% 1179.24/153.15 # Initial clauses in saturation : 98
% 1179.24/153.15 # Processed clauses : 136198
% 1179.24/153.15 # ...of these trivial : 3095
% 1179.24/153.15 # ...subsumed : 110012
% 1179.24/153.15 # ...remaining for further processing : 23091
% 1179.24/153.15 # Other redundant clauses eliminated : 17455
% 1179.24/153.15 # Clauses deleted for lack of memory : 161800
% 1179.24/153.15 # Backward-subsumed : 2176
% 1179.24/153.15 # Backward-rewritten : 2319
% 1179.24/153.15 # Generated clauses : 5333041
% 1179.24/153.15 # ...of the previous two non-redundant : 5217847
% 1179.24/153.15 # ...aggressively subsumed : 0
% 1179.24/153.15 # Contextual simplify-reflections : 2935
% 1179.24/153.15 # Paramodulations : 5311869
% 1179.24/153.15 # Factorizations : 1622
% 1179.24/153.15 # NegExts : 0
% 1179.24/153.15 # Equation resolutions : 17674
% 1179.24/153.15 # Total rewrite steps : 2748664
% 1179.24/153.15 # Propositional unsat checks : 4
% 1179.24/153.15 # Propositional check models : 0
% 1179.24/153.15 # Propositional check unsatisfiable : 0
% 1179.24/153.15 # Propositional clauses : 0
% 1179.24/153.15 # Propositional clauses after purity: 0
% 1179.24/153.15 # Propositional unsat core size : 0
% 1179.24/153.15 # Propositional preprocessing time : 0.000
% 1179.24/153.15 # Propositional encoding time : 9.577
% 1179.24/153.15 # Propositional solver time : 10.718
% 1179.24/153.15 # Success case prop preproc time : 0.000
% 1179.24/153.15 # Success case prop encoding time : 0.000
% 1179.24/153.15 # Success case prop solver time : 0.000
% 1179.24/153.15 # Current number of processed clauses : 16616
% 1179.24/153.15 # Positive orientable unit clauses : 2325
% 1179.24/153.15 # Positive unorientable unit clauses: 0
% 1179.24/153.15 # Negative unit clauses : 3503
% 1179.24/153.15 # Non-unit-clauses : 10788
% 1179.24/153.15 # Current number of unprocessed clauses: 1647843
% 1179.24/153.15 # ...number of literals in the above : 8531613
% 1179.24/153.15 # Current number of archived formulas : 0
% 1179.24/153.15 # Current number of archived clauses : 6464
% 1179.24/153.15 # Clause-clause subsumption calls (NU) : 23782667
% 1179.24/153.15 # Rec. Clause-clause subsumption calls : 12494675
% 1179.24/153.15 # Non-unit clause-clause subsumptions : 66915
% 1179.24/153.15 # Unit Clause-clause subsumption calls : 2539256
% 1179.24/153.15 # Rewrite failures with RHS unbound : 0
% 1179.24/153.15 # BW rewrite match attempts : 12057
% 1179.24/153.15 # BW rewrite match successes : 338
% 1179.24/153.15 # Condensation attempts : 0
% 1179.24/153.15 # Condensation successes : 0
% 1179.24/153.15 # Termbank termtop insertions : 203653850
% 1179.24/153.15
% 1179.24/153.15 # -------------------------------------------------
% 1179.24/153.15 # User time : 557.285 s
% 1179.24/153.15 # System time : 2.269 s
% 1179.24/153.15 # Total time : 559.554 s
% 1179.24/153.15 # Maximum resident set size: 2020 pages
% 1179.24/153.15
% 1179.24/153.15 # -------------------------------------------------
% 1179.24/153.15 # User time : 721.583 s
% 1179.24/153.15 # System time : 4.928 s
% 1179.24/153.15 # Total time : 726.511 s
% 1179.24/153.15 # Maximum resident set size: 1736 pages
% 1179.24/153.15 % E---3.1 exiting
%------------------------------------------------------------------------------