TSTP Solution File: NUM495+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM495+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 19:07:24 EDT 2023
% Result : Theorem 0.16s 0.61s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 1426 ( 459 equ)
% Maximal formula atoms : 1287 ( 37 avg)
% Number of connectives : 2179 ( 791 ~;1203 |; 177 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 138 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn; 21 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',mSortsB) ).
fof(m__2062,hypothesis,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',m__2062) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',mIH_03) ).
fof(m__1913,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xr,xm)) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',m__1913) ).
fof(m__,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(xp,X1) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',m__) ).
fof(m__1799,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( ( ( X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
& doDivides0(X4,X3) )
=> ( X4 = sz10
| X4 = X3 ) ) )
| isPrime0(X3) )
& ( ? [X4] :
( aNaturalNumber0(X4)
& sdtasdt0(X1,X2) = sdtasdt0(X3,X4) )
| doDivides0(X3,sdtasdt0(X1,X2)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X4] :
( aNaturalNumber0(X4)
& X1 = sdtasdt0(X3,X4) )
& doDivides0(X3,X1) )
| ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',m__1799) ).
fof(m__1860,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',m__1860) ).
fof(m__1883,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',m__1883) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/tmp/tmp.vP5pqNPbvo/E---3.1_2777.p',m__1837) ).
fof(c_0_9,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| aNaturalNumber0(sdtpldt0(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_10,hypothesis,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(esk13_0)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),esk13_0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2062])]) ).
fof(c_0_11,plain,
! [X60,X61] :
( ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X61)
| X60 = X61
| ~ sdtlseqdt0(X60,X61)
| iLess0(X60,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
cnf(c_0_12,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),esk13_0) = sdtpldt0(sdtpldt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,hypothesis,
( aNaturalNumber0(esk12_0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0)
& doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1913])]) ).
fof(c_0_16,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(xp,X1) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,hypothesis,
! [X88,X89,X90,X93] :
( ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1799])])])])]) ).
cnf(c_0_18,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,hypothesis,
sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,hypothesis,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
fof(c_0_22,hypothesis,
! [X96,X97] :
( xp != sz00
& 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)
& aNaturalNumber0(esk9_0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1860])])])])]) ).
cnf(c_0_23,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,hypothesis,
sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_25,negated_conjecture,
! [X103,X104] :
( ( ~ aNaturalNumber0(X103)
| xr != sdtasdt0(xp,X103) )
& ~ doDivides0(xp,xr)
& ( ~ aNaturalNumber0(X104)
| xm != sdtasdt0(xp,X104) )
& ~ doDivides0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_26,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,hypothesis,
( iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_28,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,hypothesis,
doDivides0(xp,sdtasdt0(xp,esk12_0)),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[m__1883]) ).
cnf(c_0_31,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_32,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_33,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
~ doDivides0(xp,xr),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,hypothesis,
~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,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_26,c_0_27]),c_0_28]),c_0_24]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_36,hypothesis,
~ aNaturalNumber0(sdtpldt0(xr,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_12]),c_0_32])]) ).
cnf(c_0_37,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_12]),c_0_31]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM495+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 14:07:01 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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.vP5pqNPbvo/E---3.1_2777.p
% 0.16/0.61 # Version: 3.1pre001
% 0.16/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.61 # Starting sh5l with 300s (1) cores
% 0.16/0.61 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2858 completed with status 0
% 0.16/0.61 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.16/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.61 # No SInE strategy applied
% 0.16/0.61 # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.16/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.16/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.61 # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.16/0.61 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.16/0.61 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.61 # G-E--_302_C18_F1_URBAN_S0Y with pid 2866 completed with status 0
% 0.16/0.61 # Result found by G-E--_302_C18_F1_URBAN_S0Y
% 0.16/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.61 # No SInE strategy applied
% 0.16/0.61 # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.16/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.16/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.61 # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.16/0.61 # Preprocessing time : 0.006 s
% 0.16/0.61
% 0.16/0.61 # Proof found!
% 0.16/0.61 # SZS status Theorem
% 0.16/0.61 # SZS output start CNFRefutation
% See solution above
% 0.16/0.61 # Parsed axioms : 47
% 0.16/0.61 # Removed by relevancy pruning/SinE : 0
% 0.16/0.61 # Initial clauses : 228
% 0.16/0.61 # Removed in clause preprocessing : 3
% 0.16/0.61 # Initial clauses in saturation : 225
% 0.16/0.61 # Processed clauses : 272
% 0.16/0.61 # ...of these trivial : 0
% 0.16/0.61 # ...subsumed : 20
% 0.16/0.61 # ...remaining for further processing : 252
% 0.16/0.61 # Other redundant clauses eliminated : 31
% 0.16/0.61 # Clauses deleted for lack of memory : 0
% 0.16/0.61 # Backward-subsumed : 7
% 0.16/0.61 # Backward-rewritten : 2
% 0.16/0.61 # Generated clauses : 3450
% 0.16/0.61 # ...of the previous two non-redundant : 3368
% 0.16/0.61 # ...aggressively subsumed : 0
% 0.16/0.61 # Contextual simplify-reflections : 3
% 0.16/0.61 # Paramodulations : 3398
% 0.16/0.61 # Factorizations : 0
% 0.16/0.61 # NegExts : 0
% 0.16/0.61 # Equation resolutions : 52
% 0.16/0.61 # Total rewrite steps : 2867
% 0.16/0.61 # Propositional unsat checks : 0
% 0.16/0.61 # Propositional check models : 0
% 0.16/0.61 # Propositional check unsatisfiable : 0
% 0.16/0.61 # Propositional clauses : 0
% 0.16/0.61 # Propositional clauses after purity: 0
% 0.16/0.61 # Propositional unsat core size : 0
% 0.16/0.61 # Propositional preprocessing time : 0.000
% 0.16/0.61 # Propositional encoding time : 0.000
% 0.16/0.61 # Propositional solver time : 0.000
% 0.16/0.61 # Success case prop preproc time : 0.000
% 0.16/0.61 # Success case prop encoding time : 0.000
% 0.16/0.61 # Success case prop solver time : 0.000
% 0.16/0.61 # Current number of processed clauses : 242
% 0.16/0.61 # Positive orientable unit clauses : 28
% 0.16/0.61 # Positive unorientable unit clauses: 0
% 0.16/0.61 # Negative unit clauses : 18
% 0.16/0.61 # Non-unit-clauses : 196
% 0.16/0.61 # Current number of unprocessed clauses: 3316
% 0.16/0.61 # ...number of literals in the above : 33059
% 0.16/0.61 # Current number of archived formulas : 0
% 0.16/0.61 # Current number of archived clauses : 9
% 0.16/0.61 # Clause-clause subsumption calls (NU) : 35261
% 0.16/0.61 # Rec. Clause-clause subsumption calls : 586
% 0.16/0.61 # Non-unit clause-clause subsumptions : 13
% 0.16/0.61 # Unit Clause-clause subsumption calls : 1893
% 0.16/0.61 # Rewrite failures with RHS unbound : 0
% 0.16/0.61 # BW rewrite match attempts : 2
% 0.16/0.61 # BW rewrite match successes : 2
% 0.16/0.61 # Condensation attempts : 0
% 0.16/0.61 # Condensation successes : 0
% 0.16/0.61 # Termbank termtop insertions : 135648
% 0.16/0.61
% 0.16/0.61 # -------------------------------------------------
% 0.16/0.61 # User time : 0.164 s
% 0.16/0.61 # System time : 0.007 s
% 0.16/0.61 # Total time : 0.171 s
% 0.16/0.61 # Maximum resident set size: 2392 pages
% 0.16/0.61
% 0.16/0.61 # -------------------------------------------------
% 0.16/0.61 # User time : 0.770 s
% 0.16/0.61 # System time : 0.030 s
% 0.16/0.61 # Total time : 0.800 s
% 0.16/0.61 # Maximum resident set size: 1740 pages
% 0.16/0.61 % E---3.1 exiting
%------------------------------------------------------------------------------