TSTP Solution File: NUM517+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM517+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:33:19 EDT 2022
% Result : Theorem 0.33s 20.52s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 58 ( 26 unt; 0 def)
% Number of atoms : 1532 ( 511 equ)
% Maximal formula atoms : 1287 ( 26 avg)
% Number of connectives : 2295 ( 821 ~;1231 |; 226 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 138 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn 30 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMulCanc,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mMulCanc) ).
fof(m__2504,hypothesis,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtsldt0(xn,xr) = xn )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtsldt0(xn,xr),X1) = xn )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2504) ).
fof(m__2342,hypothesis,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& xk = sdtasdt0(xr,X1) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xr = sdtasdt0(X1,X2) )
| doDivides0(X1,xr) ) )
=> ( X1 = sz10
| X1 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2342) ).
fof(m__2487,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2487) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSortsB) ).
fof(m__2686,hypothesis,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2686) ).
fof(m__,conjecture,
( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X1] :
( aNaturalNumber0(X1)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X1) )
| doDivides0(xp,sdtsldt0(xn,xr)) ) )
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mIH_03) ).
fof(m__2529,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2529) ).
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/solver/bin/../tmp/theBenchmark.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/solver/bin/../tmp/theBenchmark.p',m__1860) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1837) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| ~ aNaturalNumber0(X4) )
& ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])])])]) ).
fof(c_0_13,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtsldt0(xn,xr) != xn
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(esk19_0)
& sdtpldt0(sdtsldt0(xn,xr),esk19_0) = xn
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2504])])])])]) ).
fof(c_0_14,hypothesis,
! [X4,X5] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X5)
| xr != sdtasdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| X4 = sz10
| X4 = xr )
& ( ~ doDivides0(X4,xr)
| ~ aNaturalNumber0(X4)
| X4 = sz10
| X4 = xr )
& isPrime0(xr) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])])])]) ).
cnf(c_0_15,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,hypothesis,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,hypothesis,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,hypothesis,
xr != sz00,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,hypothesis,
( aNaturalNumber0(esk18_0)
& xn = sdtasdt0(xr,esk18_0)
& doDivides0(xr,xn) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__2487])])])]) ).
fof(c_0_21,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_22,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(esk21_0)
& sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),esk21_0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2686])])])])]) ).
cnf(c_0_23,hypothesis,
( X1 = sdtsldt0(xn,xr)
| sdtasdt0(xr,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_24,hypothesis,
xn = sdtasdt0(xr,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,hypothesis,
aNaturalNumber0(esk18_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,hypothesis,
sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),esk21_0) = sdtpldt0(sdtpldt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,hypothesis,
aNaturalNumber0(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,negated_conjecture,
~ ( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X1] :
( aNaturalNumber0(X1)
& sdtsldt0(xn,xr) = sdtasdt0(xp,X1) )
| doDivides0(xp,sdtsldt0(xn,xr)) ) )
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_30,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| X3 = X4
| ~ sdtlseqdt0(X3,X4)
| iLess0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
cnf(c_0_31,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,hypothesis,
sdtsldt0(xn,xr) = esk18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_33,hypothesis,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,hypothesis,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
fof(c_0_35,hypothesis,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(esk20_0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,esk20_0)
& doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__2529])])])]) ).
fof(c_0_36,negated_conjecture,
! [X2,X3] :
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ( ~ aNaturalNumber0(X2)
| sdtsldt0(xn,xr) != sdtasdt0(xp,X2) )
& ~ doDivides0(xp,sdtsldt0(xn,xr))
& ( ~ aNaturalNumber0(X3)
| xm != sdtasdt0(xp,X3) )
& ~ doDivides0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
fof(c_0_37,hypothesis,
! [X6,X7,X8,X11] :
( ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk5_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk5_3(X6,X7,X8),X8)
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != sz10
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk5_3(X6,X7,X8) != X8
| X8 = sz00
| X8 = sz10
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk7_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk8_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1799])])])])])])]) ).
cnf(c_0_38,plain,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(esk18_0,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,hypothesis,
sdtpldt0(sdtpldt0(esk18_0,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(rw,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_41,hypothesis,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(esk18_0,xm),xp)) ),
inference(rw,[status(thm)],[c_0_34,c_0_32]) ).
fof(c_0_42,hypothesis,
! [X3,X4] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X4)
| xp != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| X3 = sz10
| X3 = xp )
& ( ~ doDivides0(X3,xp)
| ~ aNaturalNumber0(X3)
| X3 = sz10
| X3 = 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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1860])])])])])])]) ).
cnf(c_0_43,hypothesis,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,hypothesis,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
~ doDivides0(xp,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,hypothesis,
( doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,hypothesis,
( iLess0(sdtpldt0(sdtpldt0(esk18_0,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(esk18_0,xm),xp)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_48,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,hypothesis,
sdtasdt0(esk18_0,xm) = sdtasdt0(xp,esk20_0),
inference(rw,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_50,hypothesis,
doDivides0(xp,sdtasdt0(xp,esk20_0)),
inference(rw,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_51,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_52,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_53,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,negated_conjecture,
~ doDivides0(xp,esk18_0),
inference(rw,[status(thm)],[c_0_45,c_0_32]) ).
cnf(c_0_55,hypothesis,
~ aNaturalNumber0(sdtpldt0(sdtpldt0(esk18_0,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_46,c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_25]),c_0_51]),c_0_52])]),c_0_53]),c_0_54]) ).
cnf(c_0_56,hypothesis,
~ aNaturalNumber0(sdtpldt0(esk18_0,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_26]),c_0_52])]) ).
cnf(c_0_57,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_26]),c_0_51]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM517+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 01:30:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/20.52 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.33/20.52 # Preprocessing time : 0.027 s
% 0.33/20.52
% 0.33/20.52 # Proof found!
% 0.33/20.52 # SZS status Theorem
% 0.33/20.52 # SZS output start CNFRefutation
% See solution above
% 0.33/20.52 # Proof object total steps : 58
% 0.33/20.52 # Proof object clause steps : 34
% 0.33/20.52 # Proof object formula steps : 24
% 0.33/20.52 # Proof object conjectures : 6
% 0.33/20.52 # Proof object clause conjectures : 3
% 0.33/20.52 # Proof object formula conjectures : 3
% 0.33/20.52 # Proof object initial clauses used : 21
% 0.33/20.52 # Proof object initial formulas used : 12
% 0.33/20.52 # Proof object generating inferences : 7
% 0.33/20.52 # Proof object simplifying inferences : 30
% 0.33/20.52 # Training examples: 0 positive, 0 negative
% 0.33/20.52 # Parsed axioms : 56
% 0.33/20.52 # Removed by relevancy pruning/SinE : 0
% 0.33/20.52 # Initial clauses : 283
% 0.33/20.52 # Removed in clause preprocessing : 3
% 0.33/20.52 # Initial clauses in saturation : 280
% 0.33/20.52 # Processed clauses : 20237
% 0.33/20.52 # ...of these trivial : 150
% 0.33/20.52 # ...subsumed : 13630
% 0.33/20.52 # ...remaining for further processing : 6457
% 0.33/20.52 # Other redundant clauses eliminated : 8378
% 0.33/20.52 # Clauses deleted for lack of memory : 272082
% 0.33/20.52 # Backward-subsumed : 233
% 0.33/20.52 # Backward-rewritten : 111
% 0.33/20.52 # Generated clauses : 416164
% 0.33/20.52 # ...of the previous two non-trivial : 398928
% 0.33/20.52 # Contextual simplify-reflections : 7346
% 0.33/20.52 # Paramodulations : 407434
% 0.33/20.52 # Factorizations : 6
% 0.33/20.52 # Equation resolutions : 8690
% 0.33/20.52 # Current number of processed clauses : 6078
% 0.33/20.52 # Positive orientable unit clauses : 214
% 0.33/20.52 # Positive unorientable unit clauses: 0
% 0.33/20.52 # Negative unit clauses : 392
% 0.33/20.52 # Non-unit-clauses : 5472
% 0.33/20.52 # Current number of unprocessed clauses: 105250
% 0.33/20.52 # ...number of literals in the above : 1147493
% 0.33/20.52 # Current number of archived formulas : 0
% 0.33/20.52 # Current number of archived clauses : 378
% 0.33/20.52 # Clause-clause subsumption calls (NU) : 26899791
% 0.33/20.52 # Rec. Clause-clause subsumption calls : 1994306
% 0.33/20.52 # Non-unit clause-clause subsumptions : 13591
% 0.33/20.52 # Unit Clause-clause subsumption calls : 360559
% 0.33/20.52 # Rewrite failures with RHS unbound : 0
% 0.33/20.52 # BW rewrite match attempts : 50
% 0.33/20.52 # BW rewrite match successes : 37
% 0.33/20.52 # Condensation attempts : 0
% 0.33/20.52 # Condensation successes : 0
% 0.33/20.52 # Termbank termtop insertions : 21819107
% 0.33/20.52
% 0.33/20.52 # -------------------------------------------------
% 0.33/20.52 # User time : 19.242 s
% 0.33/20.52 # System time : 0.131 s
% 0.33/20.52 # Total time : 19.373 s
% 0.33/20.52 # Maximum resident set size: 144588 pages
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.42 eprover: CPU time limit exceeded, terminating
% 0.33/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.43 eprover: No such file or directory
% 0.33/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.43 eprover: No such file or directory
% 0.33/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.43 eprover: No such file or directory
% 0.33/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.43 eprover: No such file or directory
% 0.33/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.44 eprover: No such file or directory
% 0.33/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.44 eprover: No such file or directory
% 0.33/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.44 eprover: No such file or directory
% 0.33/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.44 eprover: No such file or directory
% 0.33/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.44 eprover: No such file or directory
% 0.33/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.44 eprover: No such file or directory
% 0.33/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.45 eprover: No such file or directory
% 0.33/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.45 eprover: No such file or directory
% 0.33/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.45 eprover: No such file or directory
% 0.33/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.45 eprover: No such file or directory
% 0.33/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.45 eprover: No such file or directory
% 0.33/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.46 eprover: No such file or directory
% 0.33/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.46 eprover: No such file or directory
% 0.33/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.46 eprover: No such file or directory
% 0.33/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.46 eprover: No such file or directory
% 0.33/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.46 eprover: No such file or directory
% 0.33/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.46 eprover: No such file or directory
% 0.33/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.46 eprover: No such file or directory
% 0.33/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.47 eprover: No such file or directory
% 0.33/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.47 eprover: No such file or directory
% 0.33/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.47 eprover: No such file or directory
% 0.33/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.47 eprover: No such file or directory
% 0.33/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.47 eprover: No such file or directory
% 0.33/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.47 eprover: No such file or directory
% 0.33/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.48 eprover: No such file or directory
% 0.33/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.48 eprover: No such file or directory
% 0.33/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.48 eprover: No such file or directory
% 0.33/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.48 eprover: No such file or directory
% 0.33/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------