%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM493+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:18 PM UTC 2026
% Result : Theorem 87.75s 13.36s
% Output : CNFRefutation 100.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 179 ( 52 unt; 0 def)
% Number of atoms : 1961 ( 646 equ)
% Maximal formula atoms : 1287 ( 10 avg)
% Number of connectives : 2835 (1053 ~;1468 |; 265 &)
% ( 5 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 138 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 254 ( 1 sgn 114 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1894,hypothesis,
( sdtlseqdt0(xr,xn)
& ? [X1] :
( sdtpldt0(xr,X1) = xn
& aNaturalNumber0(X1) )
& xr != xn ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1894) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mAddCanc,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtpldt0(X2,X1) = sdtpldt0(X3,X1)
| sdtpldt0(X1,X2) = sdtpldt0(X1,X3) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sz00 = sdtasdt0(sz00,X1)
& sdtasdt0(X1,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(m__1883,hypothesis,
( xr = sdtmndt0(xn,xp)
& sdtpldt0(xp,xr) = xn
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(m__1913,hypothesis,
( doDivides0(xp,sdtasdt0(xr,xm))
& ? [X1] :
( sdtasdt0(xr,xm) = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1913) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mDefQuot,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X2)
& X1 != sz00 )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( X2 = sdtasdt0(X1,X3)
& aNaturalNumber0(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( X2 = sdtasdt0(X1,X3)
& aNaturalNumber0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(m__,conjecture,
( doDivides0(xp,xm)
| ? [X1] :
( xm = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
| doDivides0(xp,xr)
| ? [X1] :
( xr = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( sdtpldt0(X1,X3) = X2
& aNaturalNumber0(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(mSortsC_01,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( sdtpldt0(X1,X3) = X2
& aNaturalNumber0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sdtasdt0(sz10,X1)
& sdtasdt0(X1,sz10) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(mZeroMul,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X2 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& X2 != X1 )
| sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(m__1799,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( ( doDivides0(X3,sdtasdt0(X1,X2))
| ? [X4] :
( sdtasdt0(X1,X2) = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) ) )
& ( isPrime0(X3)
| ( ! [X4] :
( ( doDivides0(X4,X3)
& ? [X5] :
( X3 = sdtasdt0(X4,X5)
& aNaturalNumber0(X5) )
& aNaturalNumber0(X4) )
=> ( X4 = X3
| X4 = sz10 ) )
& X3 != sz10
& X3 != sz00 ) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) ) )
| ( doDivides0(X3,X1)
& ? [X4] :
( X1 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).
fof(m__1860,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X1] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
& isPrime0(xp)
& ! [X1] :
( ( ( doDivides0(X1,xp)
| ? [X2] :
( xp = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( X1 = xp
| X1 = sz10 ) )
& xp != sz10
& xp != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2 )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(mMonAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2 )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X3,X1) != sdtpldt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
fof(c_0_28,hypothesis,
( sdtlseqdt0(xr,xn)
& ? [X1] :
( sdtpldt0(xr,X1) = xn
& aNaturalNumber0(X1) )
& xr != xn ),
inference(fof_simplification,[status(thm)],[m__1894]) ).
fof(c_0_29,plain,
! [X9,X10] :
( aNaturalNumber0(sdtasdt0(X9,X10))
| ~ aNaturalNumber0(X10)
| ~ aNaturalNumber0(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
fof(c_0_30,plain,
! [X19,X20,X21] :
( sdtasdt0(sdtasdt0(X19,X20),X21) = sdtasdt0(X19,sdtasdt0(X20,X21))
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).
fof(c_0_31,plain,
! [X27,X28,X29] :
( ( ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| ~ aNaturalNumber0(X27)
| X28 = X29
| sdtpldt0(X28,X27) != sdtpldt0(X29,X27) )
& ( ~ aNaturalNumber0(X29)
| ~ aNaturalNumber0(X28)
| ~ aNaturalNumber0(X27)
| X28 = X29
| sdtpldt0(X27,X28) != sdtpldt0(X27,X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])])]) ).
fof(c_0_32,hypothesis,
( sdtlseqdt0(xr,xn)
& sdtpldt0(xr,esk11_0) = xn
& aNaturalNumber0(esk11_0)
& xr != xn ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_28])])]) ).
cnf(c_0_33,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_35,plain,
! [X23] :
( ( ~ aNaturalNumber0(X23)
| sz00 = sdtasdt0(sz00,X23) )
& ( ~ aNaturalNumber0(X23)
| sdtasdt0(X23,sz00) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])])]) ).
cnf(c_0_36,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,hypothesis,
sdtpldt0(xr,esk11_0) = xn,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[m__1883]) ).
fof(c_0_40,plain,
! [X11,X12] :
( sdtpldt0(X11,X12) = sdtpldt0(X12,X11)
| ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).
cnf(c_0_41,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_33]) ).
cnf(c_0_42,plain,
( ~ aNaturalNumber0(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_44,hypothesis,
( doDivides0(xp,sdtasdt0(xr,xm))
& sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0)
& aNaturalNumber0(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1913])]) ).
cnf(c_0_45,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xr,X1) != xn
| X1 = esk11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_46,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_48,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,hypothesis,
sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
fof(c_0_51,plain,
! [X17,X18] :
( sdtasdt0(X17,X18) = sdtasdt0(X18,X17)
| ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).
cnf(c_0_52,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,xr) != xn
| X1 = esk11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39])]) ).
cnf(c_0_53,hypothesis,
sdtpldt0(xp,xr) = xn,
inference(split_conjunct,[status(thm)],[m__1883]) ).
cnf(c_0_54,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
fof(c_0_55,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X1,X2)
& X1 != sz00 )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( X2 = sdtasdt0(X1,X3)
& aNaturalNumber0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[mDefQuot]) ).
fof(c_0_56,plain,
! [X65,X66,X68] :
( ( ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X65)
| doDivides0(X65,X66)
| X66 != sdtasdt0(X65,X68)
| ~ aNaturalNumber0(X68) )
& ( ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X65)
| ~ doDivides0(X65,X66)
| X66 = sdtasdt0(X65,esk2_2(X65,X66)) )
& ( ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X65)
| ~ doDivides0(X65,X66)
| aNaturalNumber0(esk2_2(X65,X66)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_57,negated_conjecture,
~ ( doDivides0(xp,xm)
| ? [X1] :
( xm = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
| doDivides0(xp,xr)
| ? [X1] :
( xr = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_58,hypothesis,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,sz00)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(xp,esk12_0),X1) = sdtasdt0(xr,sdtasdt0(xm,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_49]),c_0_50]),c_0_39])]) ).
cnf(c_0_60,hypothesis,
aNaturalNumber0(sdtasdt0(xp,esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_49]),c_0_50]),c_0_39])]) ).
cnf(c_0_61,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_62,plain,
! [X13,X14,X15] :
( sdtpldt0(sdtpldt0(X13,X14),X15) = sdtpldt0(X13,sdtpldt0(X14,X15))
| ~ aNaturalNumber0(X15)
| ~ aNaturalNumber0(X14)
| ~ aNaturalNumber0(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).
cnf(c_0_63,hypothesis,
esk11_0 = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
fof(c_0_64,plain,
! [X16] :
( ( ~ aNaturalNumber0(X16)
| X16 = sdtpldt0(sz00,X16) )
& ( ~ aNaturalNumber0(X16)
| sdtpldt0(X16,sz00) = X16 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])])]) ).
fof(c_0_65,plain,
! [X7,X8] :
( aNaturalNumber0(sdtpldt0(X7,X8))
| ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).
cnf(c_0_66,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_67,plain,
! [X41,X42,X43] :
( ( ~ aNaturalNumber0(X42)
| ~ aNaturalNumber0(X41)
| ~ sdtlseqdt0(X41,X42)
| X43 = sdtmndt0(X42,X41)
| sdtpldt0(X41,X43) != X42
| ~ aNaturalNumber0(X43) )
& ( ~ aNaturalNumber0(X42)
| ~ aNaturalNumber0(X41)
| ~ sdtlseqdt0(X41,X42)
| X43 != sdtmndt0(X42,X41)
| sdtpldt0(X41,X43) = X42 )
& ( ~ aNaturalNumber0(X42)
| ~ aNaturalNumber0(X41)
| ~ sdtlseqdt0(X41,X42)
| X43 != sdtmndt0(X42,X41)
| aNaturalNumber0(X43) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])]) ).
fof(c_0_68,plain,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
inference(fof_simplification,[status(thm)],[mSortsC_01]) ).
fof(c_0_69,plain,
! [X69,X70,X71] :
( ( ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X69)
| ~ doDivides0(X69,X70)
| X69 = sz00
| X71 = sdtsldt0(X70,X69)
| X70 != sdtasdt0(X69,X71)
| ~ aNaturalNumber0(X71) )
& ( ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X69)
| ~ doDivides0(X69,X70)
| X69 = sz00
| X71 != sdtsldt0(X70,X69)
| X70 = sdtasdt0(X69,X71) )
& ( ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X69)
| ~ doDivides0(X69,X70)
| X69 = sz00
| X71 != sdtsldt0(X70,X69)
| aNaturalNumber0(X71) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])]) ).
cnf(c_0_70,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X1)
| doDivides0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_71,negated_conjecture,
! [X105,X106] :
( ~ doDivides0(xp,xm)
& ( xm != sdtasdt0(xp,X106)
| ~ aNaturalNumber0(X106) )
& ~ doDivides0(xp,xr)
& ( xr != sdtasdt0(xp,X105)
| ~ aNaturalNumber0(X105) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).
cnf(c_0_72,hypothesis,
aNaturalNumber0(sdtasdt0(xr,sdtasdt0(xm,sz00))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_43])]) ).
cnf(c_0_73,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_34]),c_0_33]) ).
fof(c_0_74,plain,
! [X37,X38,X40] :
( ( ~ aNaturalNumber0(X38)
| ~ aNaturalNumber0(X37)
| sdtlseqdt0(X37,X38)
| sdtpldt0(X37,X40) != X38
| ~ aNaturalNumber0(X40) )
& ( ~ aNaturalNumber0(X38)
| ~ aNaturalNumber0(X37)
| ~ sdtlseqdt0(X37,X38)
| sdtpldt0(X37,esk1_2(X37,X38)) = X38 )
& ( ~ aNaturalNumber0(X38)
| ~ aNaturalNumber0(X37)
| ~ sdtlseqdt0(X37,X38)
| aNaturalNumber0(esk1_2(X37,X38)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])])]) ).
cnf(c_0_75,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_76,hypothesis,
sdtpldt0(xr,xp) = xn,
inference(rw,[status(thm)],[c_0_37,c_0_63]) ).
cnf(c_0_77,plain,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_78,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_79,plain,
( ~ aNaturalNumber0(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_80,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,xr) != xn
| X1 = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_53]),c_0_54]),c_0_39])]) ).
cnf(c_0_81,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3)
| X2 != sdtmndt0(X3,X1)
| sdtpldt0(X1,X2) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_82,plain,
! [X22] :
( ( ~ aNaturalNumber0(X22)
| X22 = sdtasdt0(sz10,X22) )
& ( ~ aNaturalNumber0(X22)
| sdtasdt0(X22,sz10) = X22 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])])]) ).
fof(c_0_83,plain,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
inference(fof_nnf,[status(thm)],[c_0_68]) ).
cnf(c_0_84,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X3,X2)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X1 = sdtsldt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_85,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X1,sdtasdt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_70]),c_0_33]) ).
cnf(c_0_86,negated_conjecture,
( xr != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_87,plain,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_88,plain,
! [X35,X36] :
( X36 = sz00
| X35 = sz00
| sdtasdt0(X35,X36) != sz00
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])])]) ).
cnf(c_0_89,hypothesis,
aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xr))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_39]),c_0_43]),c_0_50])]) ).
cnf(c_0_90,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_91,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xr,sdtpldt0(xp,X1)) = sdtpldt0(xn,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_54]),c_0_39])]) ).
cnf(c_0_92,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_75]),c_0_43])]),c_0_78]) ).
cnf(c_0_93,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_79]),c_0_43])]) ).
cnf(c_0_94,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,sdtpldt0(xr,X1)) = sdtpldt0(xn,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_53]),c_0_39]),c_0_54])]) ).
cnf(c_0_95,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xr,X1) != xn
| X1 = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_46]),c_0_39])]) ).
cnf(c_0_96,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| sdtpldt0(X1,sdtmndt0(X2,X1)) = X2 ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_97,hypothesis,
sdtlseqdt0(xr,xn),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_98,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_99,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X3,X2)
| X1 != sdtmndt0(X2,X3)
| aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_100,plain,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_101,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_102,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00
| sdtsldt0(sdtasdt0(X1,X2),X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_84]),c_0_33]),c_0_85]) ).
cnf(c_0_103,negated_conjecture,
xr != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_43]),c_0_54])]) ).
cnf(c_0_104,plain,
( sdtasdt0(X1,X2) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_105,hypothesis,
sdtasdt0(xr,sdtasdt0(xm,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_59]),c_0_60]),c_0_43])]) ).
cnf(c_0_106,hypothesis,
aNaturalNumber0(sdtasdt0(xm,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_42]),c_0_39])]) ).
cnf(c_0_107,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X3)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X1)
| X1 = sdtmndt0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_108,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,sdtpldt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_78]) ).
cnf(c_0_109,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xr,sdtpldt0(X1,xp)) = sdtpldt0(xn,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_46]),c_0_54])]) ).
cnf(c_0_110,plain,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = sdtpldt0(sz00,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_43])]) ).
cnf(c_0_111,hypothesis,
sdtpldt0(xn,sz00) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_77]),c_0_53]),c_0_43]),c_0_39])]) ).
cnf(c_0_112,hypothesis,
( ~ aNaturalNumber0(sdtmndt0(xn,xr))
| sdtmndt0(xn,xr) = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_39])])]),c_0_97]),c_0_98])]) ).
cnf(c_0_113,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| aNaturalNumber0(sdtmndt0(X1,X2)) ),
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_114,hypothesis,
sdtasdt0(xr,sdtasdt0(xm,sz10)) = sdtasdt0(xp,esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_59]),c_0_60]),c_0_101])]) ).
cnf(c_0_115,hypothesis,
sdtsldt0(sdtasdt0(xp,esk12_0),xr) = xm,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_49]),c_0_39]),c_0_50])]),c_0_103]) ).
fof(c_0_116,plain,
! [X24,X25,X26] :
( ( ~ aNaturalNumber0(X26)
| ~ aNaturalNumber0(X25)
| ~ aNaturalNumber0(X24)
| sdtasdt0(sdtpldt0(X25,X26),X24) = sdtpldt0(sdtasdt0(X25,X24),sdtasdt0(X26,X24)) )
& ( ~ aNaturalNumber0(X26)
| ~ aNaturalNumber0(X25)
| ~ aNaturalNumber0(X24)
| sdtasdt0(X24,sdtpldt0(X25,X26)) = sdtpldt0(sdtasdt0(X24,X25),sdtasdt0(X24,X26)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])])]) ).
cnf(c_0_117,plain,
( ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_118,hypothesis,
sdtasdt0(xm,sz00) = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_39])]),c_0_103]) ).
cnf(c_0_119,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtmndt0(sdtpldt0(X1,X2),X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_107]),c_0_78]),c_0_108]) ).
cnf(c_0_120,hypothesis,
sdtpldt0(xr,sdtpldt0(xp,sz00)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_43]),c_0_54])]) ).
cnf(c_0_121,hypothesis,
sdtmndt0(xn,xr) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_97]),c_0_39]),c_0_98])]) ).
cnf(c_0_122,hypothesis,
( ~ aNaturalNumber0(sdtasdt0(xm,sz10))
| sdtasdt0(xm,sz10) = xm ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_114]),c_0_115]),c_0_39])]),c_0_103]) ).
cnf(c_0_123,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_124,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_117]),c_0_101])]) ).
cnf(c_0_125,hypothesis,
sdtasdt0(xr,sz00) = sz00,
inference(rw,[status(thm)],[c_0_105,c_0_118]) ).
cnf(c_0_126,hypothesis,
( ~ aNaturalNumber0(sdtpldt0(xp,sz00))
| sdtpldt0(xp,sz00) = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_39])]) ).
cnf(c_0_127,hypothesis,
sdtasdt0(xm,sz10) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_33]),c_0_101]),c_0_50])]) ).
cnf(c_0_128,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz10,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_117]),c_0_101])]) ).
cnf(c_0_129,hypothesis,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_43]),c_0_39])]) ).
fof(c_0_130,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& X2 != X1 )
| sdtlseqdt0(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[mLETotal]) ).
cnf(c_0_131,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_75]),c_0_78]) ).
cnf(c_0_132,hypothesis,
sdtpldt0(xp,sz00) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_78]),c_0_43]),c_0_54])]) ).
cnf(c_0_133,hypothesis,
sdtasdt0(sz10,xm) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_127]),c_0_101]),c_0_50])]) ).
cnf(c_0_134,plain,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz10,X1) = sdtpldt0(sz00,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_79]),c_0_129]),c_0_43])]) ).
fof(c_0_135,plain,
! [X50,X51] :
( ( ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X50)
| sdtlseqdt0(X50,X51)
| sdtlseqdt0(X51,X50) )
& ( ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X50)
| sdtlseqdt0(X50,X51)
| X51 != X50 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])])]) ).
fof(c_0_136,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( ( doDivides0(X3,sdtasdt0(X1,X2))
| ? [X4] :
( sdtasdt0(X1,X2) = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) ) )
& ( isPrime0(X3)
| ( ! [X4] :
( ( doDivides0(X4,X3)
& ? [X5] :
( X3 = sdtasdt0(X4,X5)
& aNaturalNumber0(X5) )
& aNaturalNumber0(X4) )
=> ( X4 = X3
| X4 = sz10 ) )
& X3 != sz10
& X3 != sz00 ) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) ) )
| ( doDivides0(X3,X1)
& ? [X4] :
( X1 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[m__1799]) ).
cnf(c_0_137,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,sdtpldt0(sz00,X1)) = sdtpldt0(X1,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_43]),c_0_54])]) ).
cnf(c_0_138,hypothesis,
sdtpldt0(sz00,xm) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_50])]) ).
cnf(c_0_139,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
fof(c_0_140,hypothesis,
! [X91,X92,X93,X96] :
( ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| ~ isPrime0(X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != X93
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| esk5_3(X91,X92,X93) != sz10
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| doDivides0(esk5_3(X91,X92,X93),X93)
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk6_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| ~ doDivides0(X93,sdtasdt0(X91,X92))
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X93,X91)
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| doDivides0(X93,X92) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
& ( ~ aNaturalNumber0(X93)
| ~ aNaturalNumber0(X92)
| ~ aNaturalNumber0(X91)
| X93 = sz10
| X93 = sz00
| aNaturalNumber0(esk5_3(X91,X92,X93))
| sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
| ~ aNaturalNumber0(X96)
| ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
| aNaturalNumber0(esk7_3(X91,X92,X93))
| aNaturalNumber0(esk8_3(X91,X92,X93)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_136])])])])])]) ).
cnf(c_0_141,hypothesis,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_50])]) ).
fof(c_0_142,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X1] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
& isPrime0(xp)
& ! [X1] :
( ( ( doDivides0(X1,xp)
| ? [X2] :
( xp = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( X1 = xp
| X1 = sz10 ) )
& xp != sz10
& xp != sz00 ),
inference(fof_simplification,[status(thm)],[m__1860]) ).
cnf(c_0_143,plain,
( ~ aNaturalNumber0(X1)
| sdtmndt0(sdtpldt0(sz00,X1),X1) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_110]),c_0_43])]) ).
cnf(c_0_144,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,xm)
| sdtlseqdt0(xm,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_50]) ).
cnf(c_0_145,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X1,X3)
| doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_146,hypothesis,
sdtpldt0(xr,sdtpldt0(xp,xm)) = sdtpldt0(xn,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_141]),c_0_50])]) ).
fof(c_0_147,hypothesis,
! [X99,X100] :
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
& aNaturalNumber0(esk9_0)
& isPrime0(xp)
& ( X99 = xp
| X99 = sz10
| ~ aNaturalNumber0(X99)
| ~ doDivides0(X99,xp) )
& ( X99 = xp
| X99 = sz10
| ~ aNaturalNumber0(X99)
| xp != sdtasdt0(X99,X100)
| ~ aNaturalNumber0(X100) )
& xp != sz10
& xp != sz00 ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_142])])])])])]) ).
cnf(c_0_148,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_149,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2 )
=> iLess0(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[mIH_03]) ).
fof(c_0_150,plain,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2 )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X3,X1) != sdtpldt0(X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[mMonAdd]) ).
cnf(c_0_151,plain,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| aNaturalNumber0(sdtpldt0(X1,sdtpldt0(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_78]) ).
cnf(c_0_152,hypothesis,
sdtmndt0(xm,xm) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_138]),c_0_50])]) ).
cnf(c_0_153,hypothesis,
sdtlseqdt0(xm,xm),
inference(spm,[status(thm)],[c_0_144,c_0_50]) ).
cnf(c_0_154,hypothesis,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ iLess0(sdtpldt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X2,X3))
| ~ isPrime0(X1)
| doDivides0(X1,X3)
| doDivides0(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_46]),c_0_78]) ).
cnf(c_0_155,hypothesis,
sdtpldt0(xp,sdtpldt0(xm,xr)) = sdtpldt0(xn,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_146]),c_0_39]),c_0_50]),c_0_54])]) ).
cnf(c_0_156,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_157,hypothesis,
sdtasdt0(xm,xr) = sdtasdt0(xp,esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_61]),c_0_39]),c_0_50])]) ).
cnf(c_0_158,hypothesis,
doDivides0(xp,sdtasdt0(xp,esk12_0)),
inference(rw,[status(thm)],[c_0_148,c_0_49]) ).
cnf(c_0_159,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_160,negated_conjecture,
~ doDivides0(xp,xr),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_161,plain,
! [X63,X64] :
( iLess0(X63,X64)
| ~ sdtlseqdt0(X63,X64)
| X63 = X64
| ~ aNaturalNumber0(X64)
| ~ aNaturalNumber0(X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_149])])]) ).
fof(c_0_162,plain,
! [X52,X53,X54] :
( ( ~ aNaturalNumber0(X53)
| ~ aNaturalNumber0(X52)
| ~ sdtlseqdt0(X52,X53)
| X52 = X53
| ~ aNaturalNumber0(X54)
| sdtlseqdt0(sdtpldt0(X52,X54),sdtpldt0(X53,X54)) )
& ( ~ aNaturalNumber0(X53)
| ~ aNaturalNumber0(X52)
| ~ sdtlseqdt0(X52,X53)
| X52 = X53
| ~ aNaturalNumber0(X54)
| sdtpldt0(X52,X54) != sdtpldt0(X53,X54) )
& ( ~ aNaturalNumber0(X53)
| ~ aNaturalNumber0(X52)
| ~ sdtlseqdt0(X52,X53)
| X52 = X53
| ~ aNaturalNumber0(X54)
| sdtlseqdt0(sdtpldt0(X54,X52),sdtpldt0(X54,X53)) )
& ( ~ aNaturalNumber0(X53)
| ~ aNaturalNumber0(X52)
| ~ sdtlseqdt0(X52,X53)
| X52 = X53
| ~ aNaturalNumber0(X54)
| sdtpldt0(X54,X52) != sdtpldt0(X54,X53) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_150])])])])]) ).
cnf(c_0_163,hypothesis,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X1,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_138]),c_0_50]),c_0_43])]) ).
cnf(c_0_164,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,sdtpldt0(sz00,X1)) = sdtpldt0(xp,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_132]),c_0_43]),c_0_54])]) ).
cnf(c_0_165,hypothesis,
sdtpldt0(xm,sz00) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_152]),c_0_153]),c_0_50])]) ).
cnf(c_0_166,hypothesis,
~ iLess0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_50]),c_0_39]),c_0_54])]),c_0_159]),c_0_160]) ).
cnf(c_0_167,plain,
( ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| iLess0(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_168,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| X2 = X3
| sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_169,hypothesis,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(xm,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_46]),c_0_50])]) ).
cnf(c_0_170,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) = sdtpldt0(X1,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_164]),c_0_132]),c_0_43]),c_0_54])]) ).
cnf(c_0_171,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xm,X1) != xm
| sz00 = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_165]),c_0_43]),c_0_50])]) ).
cnf(c_0_172,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_173,hypothesis,
~ iLess0(sdtpldt0(xn,xm),sdtpldt0(xn,sdtpldt0(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_166,c_0_75]),c_0_141]),c_0_54]),c_0_50]),c_0_98])]) ).
cnf(c_0_174,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| iLess0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| X1 = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_78]),c_0_78]),c_0_36]) ).
cnf(c_0_175,hypothesis,
sdtlseqdt0(xm,sdtpldt0(xp,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_141]),c_0_50]),c_0_54])]) ).
cnf(c_0_176,hypothesis,
aNaturalNumber0(sdtpldt0(xp,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_54]),c_0_50])]) ).
cnf(c_0_177,hypothesis,
sdtpldt0(xp,xm) != xm,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_170]),c_0_54]),c_0_50])]),c_0_172]) ).
cnf(c_0_178,hypothesis,
$false,
inference(sr,[status(thm)],[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_173,c_0_174]),c_0_175]),c_0_176]),c_0_50]),c_0_98])]),c_0_177]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM493+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n011.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 02:35:10 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.75/13.36 % Version: 3.5.1
% 87.75/13.36 % Preprocessing class: FSLSSMSSSSSNFFN.
% 87.75/13.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.75/13.36 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 87.75/13.36 % Starting new_bool_3 with 300s (1) cores
% 87.75/13.36 % Starting new_bool_1 with 300s (1) cores
% 87.75/13.36 % Starting sh5l with 300s (1) cores
% 87.75/13.36 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 782556 completed with status 0
% 87.75/13.36 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 87.75/13.36 % Preprocessing class: FSLSSMSSSSSNFFN.
% 87.75/13.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.75/13.36 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 87.75/13.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 87.75/13.36 % No SInE strategy applied
% 87.75/13.36 % Search class: FGHSF-FSLM32-SFFFFFNN
% 87.75/13.36 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 87.75/13.36 % Starting SubtermCWHack with 136s (1) cores
% 87.75/13.36 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 87.75/13.36 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 87.75/13.36 % Starting new_bool_3 with 136s (1) cores
% 87.75/13.36 % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 87.75/13.36 % SubtermCWHack with pid 782560 completed with status 0
% 87.75/13.36 % Result found by SubtermCWHack
% 87.75/13.36 % Preprocessing class: FSLSSMSSSSSNFFN.
% 87.75/13.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.75/13.36 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 87.75/13.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 87.75/13.36 % No SInE strategy applied
% 87.75/13.36 % Search class: FGHSF-FSLM32-SFFFFFNN
% 87.75/13.36 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 87.75/13.36 % Starting SubtermCWHack with 136s (1) cores
% 87.75/13.36 % Preprocessing time : 0.004 s
% 87.75/13.36
% 87.75/13.36 % Proof found!
% 87.75/13.36 % SZS status Theorem
% 87.75/13.36 % SZS output start CNFRefutation
% See solution above
% 100.70/13.36 % Parsed axioms : 46
% 100.70/13.36 % Removed by relevancy pruning/SinE : 0
% 100.70/13.36 % Initial clauses : 224
% 100.70/13.36 % Removed in clause preprocessing : 3
% 100.70/13.36 % Initial clauses in saturation : 221
% 100.70/13.36 % Processed clauses : 27044
% 100.70/13.36 % ...of these trivial : 2794
% 100.70/13.36 % ...subsumed : 15711
% 100.70/13.36 % ...remaining for further processing : 8539
% 100.70/13.36 % Other redundant clauses eliminated : 4690
% 100.70/13.36 % Clauses deleted for lack of memory : 0
% 100.70/13.36 % Backward-subsumed : 739
% 100.70/13.36 % Backward-rewritten : 640
% 100.70/13.36 % Generated clauses : 422937
% 100.70/13.36 % ...of the previous two non-redundant : 375280
% 100.70/13.36 % ...aggressively subsumed : 0
% 100.70/13.36 % Contextual simplify-reflections : 927
% 100.70/13.36 % Paramodulations : 418133
% 100.70/13.36 % Factorizations : 1
% 100.70/13.36 % NegExts : 0
% 100.70/13.36 % Equation resolutions : 4758
% 100.70/13.36 % Disequality decompositions : 0
% 100.70/13.36 % Total rewrite steps : 578242
% 100.70/13.36 % ...of those cached : 575832
% 100.70/13.36 % Propositional unsat checks : 0
% 100.70/13.36 % Propositional check models : 0
% 100.70/13.36 % Propositional check unsatisfiable : 0
% 100.70/13.36 % Propositional clauses : 0
% 100.70/13.36 % Propositional clauses after purity: 0
% 100.70/13.36 % Propositional unsat core size : 0
% 100.70/13.36 % Propositional preprocessing time : 0.000
% 100.70/13.36 % Propositional encoding time : 0.000
% 100.70/13.36 % Propositional solver time : 0.000
% 100.70/13.36 % Success case prop preproc time : 0.000
% 100.70/13.36 % Success case prop encoding time : 0.000
% 100.70/13.36 % Success case prop solver time : 0.000
% 100.70/13.36 % Current number of processed clauses : 7104
% 100.70/13.36 % Positive orientable unit clauses : 2697
% 100.70/13.36 % Positive unorientable unit clauses: 0
% 100.70/13.36 % Negative unit clauses : 592
% 100.70/13.36 % Non-unit-clauses : 3815
% 100.70/13.36 % Current number of unprocessed clauses: 346375
% 100.70/13.36 % ...number of literals in the above : 2938019
% 100.70/13.36 % Current number of archived formulas : 0
% 100.70/13.36 % Current number of archived clauses : 1424
% 100.70/13.36 % Clause-clause subsumption calls (NU) : 5962982
% 100.70/13.36 % Rec. Clause-clause subsumption calls : 487562
% 100.70/13.36 % Non-unit clause-clause subsumptions : 12016
% 100.70/13.36 % Unit Clause-clause subsumption calls : 306564
% 100.70/13.36 % Rewrite failures with RHS unbound : 0
% 100.70/13.36 % BW rewrite match attempts : 80827
% 100.70/13.36 % BW rewrite match successes : 225
% 100.70/13.36 % Condensation attempts : 0
% 100.70/13.36 % Condensation successes : 0
% 100.70/13.36 % Termbank termtop insertions : 15685395
% 100.70/13.36 % Search garbage collected termcells : 2288
% 100.70/13.36
% 100.70/13.36 % -------------------------------------------------
% 100.70/13.36 % User time : 12.205 s
% 100.70/13.36 % System time : 0.329 s
% 100.70/13.36 % Total time : 12.534 s
% 100.70/13.36 % Maximum resident set size: 4156 pages
% 100.70/13.36
% 100.70/13.36 % -------------------------------------------------
% 100.70/13.36 % User time : 61.446 s
% 100.70/13.36 % System time : 1.523 s
% 100.70/13.36 % Total time : 62.969 s
% 100.70/13.36 % Maximum resident set size: 4864 pages
% 100.70/13.36 % E exiting
%------------------------------------------------------------------------------