%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM492+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n094.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:32 EST 2018
% Result : Theorem 3.15s
% Output : CNFRefutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 13
% Syntax : Number of formulae : 101 ( 23 unt; 0 def)
% Number of atoms : 419 ( 26 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 529 ( 211 ~; 214 |; 93 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 73 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
( ~ equal(xp,sz00)
& ~ equal(xp,sz10)
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& equal(xp,sdtasdt0(X1,X2)) )
| doDivides0(X1,xp) ) )
=> ( equal(X1,sz10)
| equal(X1,xp) ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,X1)) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',m__1860) ).
fof(3,axiom,
( aNaturalNumber0(xr)
& equal(sdtpldt0(xp,xr),xn)
& equal(xr,sdtmndt0(xn,xp)) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',m__1883) ).
fof(11,axiom,
equal(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm))),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',m__1951) ).
fof(14,axiom,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,X1)) )
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtasdt0(xp,xm),sdtasdt0(xp,X1)) )
& doDivides0(xp,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',m__2001) ).
fof(16,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,sdtpldt0(X2,X3)) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',mDivMin) ).
fof(19,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',m__1837) ).
fof(22,axiom,
( equal(sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),sdtasdt0(xn,xm))
& equal(sdtasdt0(xr,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',m__1978) ).
fof(25,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',mDefLE) ).
fof(33,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtasdt0(xr,xm),sdtasdt0(xp,X1)) )
| doDivides0(xp,sdtasdt0(xr,xm)) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',m__) ).
fof(38,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( equal(X3,sdtmndt0(X2,X1))
<=> ( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',mDefDiff) ).
fof(39,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',mSortsB_02) ).
fof(42,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',mSortsB) ).
fof(46,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1',mMulComm) ).
fof(50,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtasdt0(xr,xm),sdtasdt0(xp,X1)) )
| doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(assume_negation,[status(cth)],[33]) ).
fof(56,plain,
( ~ equal(xp,sz00)
& ~ equal(xp,sz10)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(xp,sdtasdt0(X1,X2)) )
& ~ doDivides0(X1,xp) )
| equal(X1,sz10)
| equal(X1,xp) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,X1)) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(57,plain,
( ~ equal(xp,sz00)
& ~ equal(xp,sz10)
& ! [X3] :
( ~ aNaturalNumber0(X3)
| ( ! [X4] :
( ~ aNaturalNumber0(X4)
| ~ equal(xp,sdtasdt0(X3,X4)) )
& ~ doDivides0(X3,xp) )
| equal(X3,sz10)
| equal(X3,xp) )
& isPrime0(xp)
& ? [X5] :
( aNaturalNumber0(X5)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,X5)) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(variable_rename,[status(thm)],[56]) ).
fof(58,plain,
( ~ equal(xp,sz00)
& ~ equal(xp,sz10)
& ! [X3] :
( ~ aNaturalNumber0(X3)
| ( ! [X4] :
( ~ aNaturalNumber0(X4)
| ~ equal(xp,sdtasdt0(X3,X4)) )
& ~ doDivides0(X3,xp) )
| equal(X3,sz10)
| equal(X3,xp) )
& isPrime0(xp)
& aNaturalNumber0(esk1_0)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,esk1_0))
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa)],[57]) ).
fof(59,plain,
! [X3,X4] :
( ( ( ( ~ aNaturalNumber0(X4)
| ~ equal(xp,sdtasdt0(X3,X4)) )
& ~ doDivides0(X3,xp) )
| ~ aNaturalNumber0(X3)
| equal(X3,sz10)
| equal(X3,xp) )
& ~ equal(xp,sz00)
& ~ equal(xp,sz10)
& isPrime0(xp)
& aNaturalNumber0(esk1_0)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,esk1_0))
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(shift_quantors,[status(thm)],[58]) ).
fof(60,plain,
! [X3,X4] :
( ( ~ aNaturalNumber0(X4)
| ~ equal(xp,sdtasdt0(X3,X4))
| ~ aNaturalNumber0(X3)
| equal(X3,sz10)
| equal(X3,xp) )
& ( ~ doDivides0(X3,xp)
| ~ aNaturalNumber0(X3)
| equal(X3,sz10)
| equal(X3,xp) )
& ~ equal(xp,sz00)
& ~ equal(xp,sz10)
& isPrime0(xp)
& aNaturalNumber0(esk1_0)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,esk1_0))
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(distribute,[status(thm)],[59]) ).
cnf(61,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(62,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk1_0),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(71,plain,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(231,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[11]) ).
fof(240,plain,
( ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,X2)) )
& ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtasdt0(xp,xm),sdtasdt0(xp,X3)) )
& doDivides0(xp,sdtasdt0(xp,xm)) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(241,plain,
( aNaturalNumber0(esk7_0)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,esk7_0))
& aNaturalNumber0(esk8_0)
& equal(sdtasdt0(xp,xm),sdtasdt0(xp,esk8_0))
& doDivides0(xp,sdtasdt0(xp,xm)) ),
inference(skolemize,[status(esa)],[240]) ).
cnf(242,plain,
doDivides0(xp,sdtasdt0(xp,xm)),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(243,plain,
sdtasdt0(xp,xm) = sdtasdt0(xp,esk8_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(244,plain,
aNaturalNumber0(esk8_0),
inference(split_conjunct,[status(thm)],[241]) ).
fof(250,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X2,X3))
| doDivides0(X1,X3) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(251,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X4,sdtpldt0(X5,X6))
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[250]) ).
cnf(252,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[251]) ).
cnf(261,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(262,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(275,plain,
sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(split_conjunct,[status(thm)],[22]) ).
fof(287,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ( ( ~ sdtlseqdt0(X1,X2)
| ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) )
& ( ! [X3] :
( ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(X1,X3),X2) )
| sdtlseqdt0(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(288,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ sdtlseqdt0(X4,X5)
| ? [X6] :
( aNaturalNumber0(X6)
& equal(sdtpldt0(X4,X6),X5) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5) )
| sdtlseqdt0(X4,X5) ) ) ),
inference(variable_rename,[status(thm)],[287]) ).
fof(289,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ sdtlseqdt0(X4,X5)
| ( aNaturalNumber0(esk10_2(X4,X5))
& equal(sdtpldt0(X4,esk10_2(X4,X5)),X5) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5) )
| sdtlseqdt0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[288]) ).
fof(290,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5)
| sdtlseqdt0(X4,X5) )
& ( ~ sdtlseqdt0(X4,X5)
| ( aNaturalNumber0(esk10_2(X4,X5))
& equal(sdtpldt0(X4,esk10_2(X4,X5)),X5) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[289]) ).
fof(291,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5)
| sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk10_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(sdtpldt0(X4,esk10_2(X4,X5)),X5)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[290]) ).
cnf(294,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[291]) ).
fof(324,negated_conjecture,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| ~ equal(sdtasdt0(xr,xm),sdtasdt0(xp,X1)) )
& ~ doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(325,negated_conjecture,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(sdtasdt0(xr,xm),sdtasdt0(xp,X2)) )
& ~ doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(variable_rename,[status(thm)],[324]) ).
fof(326,negated_conjecture,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| ~ equal(sdtasdt0(xr,xm),sdtasdt0(xp,X2)) )
& ~ doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(shift_quantors,[status(thm)],[325]) ).
cnf(327,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[326]) ).
fof(341,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(X2,X1))
| ( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) )
& ( ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(X1,X3),X2)
| equal(X3,sdtmndt0(X2,X1)) ) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(342,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ sdtlseqdt0(X4,X5)
| ! [X6] :
( ( ~ equal(X6,sdtmndt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(sdtpldt0(X4,X6),X5) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4)) ) ) ),
inference(variable_rename,[status(thm)],[341]) ).
fof(343,plain,
! [X4,X5,X6] :
( ( ( ~ equal(X6,sdtmndt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(sdtpldt0(X4,X6),X5) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4)) ) )
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[342]) ).
fof(344,plain,
! [X4,X5,X6] :
( ( aNaturalNumber0(X6)
| ~ equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(sdtpldt0(X4,X6),X5)
| ~ equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[343]) ).
cnf(345,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[344]) ).
fof(348,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(349,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[348]) ).
cnf(350,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[349]) ).
fof(364,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(365,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[364]) ).
cnf(366,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[365]) ).
fof(382,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(383,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[382]) ).
cnf(384,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[383]) ).
cnf(400,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(esk8_0)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[350,243,theory(equality)]) ).
cnf(401,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[400,244,theory(equality)]) ).
cnf(402,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| $false
| $false ),
inference(rw,[status(thm)],[401,261,theory(equality)]) ).
cnf(403,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(cn,[status(thm)],[402,theory(equality)]) ).
cnf(411,plain,
doDivides0(xp,sdtasdt0(xp,esk1_0)),
inference(rw,[status(thm)],[61,62,theory(equality)]) ).
cnf(455,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xp,esk1_0),
inference(rw,[status(thm)],[231,62,theory(equality)]) ).
cnf(461,plain,
( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xm,xr)) = sdtasdt0(xp,esk1_0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[455,384,theory(equality)]) ).
cnf(463,negated_conjecture,
( ~ doDivides0(xp,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[327,384,theory(equality)]) ).
cnf(485,plain,
( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xm,xr)) = sdtasdt0(xp,esk1_0)
| $false
| ~ aNaturalNumber0(xr) ),
inference(rw,[status(thm)],[461,262,theory(equality)]) ).
cnf(486,plain,
( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xm,xr)) = sdtasdt0(xp,esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[485,71,theory(equality)]) ).
cnf(487,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xm,xr)) = sdtasdt0(xp,esk1_0),
inference(cn,[status(thm)],[486,theory(equality)]) ).
cnf(491,negated_conjecture,
( ~ doDivides0(xp,sdtasdt0(xm,xr))
| $false
| ~ aNaturalNumber0(xr) ),
inference(rw,[status(thm)],[463,262,theory(equality)]) ).
cnf(492,negated_conjecture,
( ~ doDivides0(xp,sdtasdt0(xm,xr))
| $false
| $false ),
inference(rw,[status(thm)],[491,71,theory(equality)]) ).
cnf(493,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xm,xr)),
inference(cn,[status(thm)],[492,theory(equality)]) ).
cnf(556,plain,
sdtmndt0(sdtasdt0(xp,esk1_0),sdtasdt0(xp,xm)) = sdtasdt0(xr,xm),
inference(rw,[status(thm)],[275,62,theory(equality)]) ).
cnf(1044,plain,
( doDivides0(X1,sdtasdt0(xr,xm))
| ~ doDivides0(X1,sdtasdt0(xp,esk1_0))
| ~ doDivides0(X1,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[252,455,theory(equality)]) ).
cnf(1287,plain,
( sdtmndt0(X1,X2) = X3
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[345,294]) ).
cnf(1288,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(er,[status(thm)],[1287,theory(equality)]) ).
cnf(78041,plain,
( doDivides0(X1,sdtasdt0(xr,xm))
| ~ doDivides0(X1,sdtasdt0(xp,esk1_0))
| ~ doDivides0(X1,sdtasdt0(xp,xm))
| $false
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1044,403,theory(equality)]) ).
cnf(78042,plain,
( doDivides0(X1,sdtasdt0(xr,xm))
| ~ doDivides0(X1,sdtasdt0(xp,esk1_0))
| ~ doDivides0(X1,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[78041,theory(equality)]) ).
cnf(157522,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[1288,366]) ).
cnf(157526,plain,
( sdtmndt0(sdtasdt0(xp,esk1_0),sdtasdt0(xp,xm)) = sdtasdt0(xm,xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(spm,[status(thm)],[157522,487,theory(equality)]) ).
cnf(157602,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(rw,[status(thm)],[157526,556,theory(equality)]) ).
cnf(157603,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| $false ),
inference(rw,[status(thm)],[157602,403,theory(equality)]) ).
cnf(157604,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(cn,[status(thm)],[157603,theory(equality)]) ).
cnf(157734,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[157604,350,theory(equality)]) ).
cnf(157737,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[157734,71,theory(equality)]) ).
cnf(157738,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| $false
| $false ),
inference(rw,[status(thm)],[157737,262,theory(equality)]) ).
cnf(157739,plain,
sdtasdt0(xr,xm) = sdtasdt0(xm,xr),
inference(cn,[status(thm)],[157738,theory(equality)]) ).
cnf(157744,plain,
( aNaturalNumber0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[350,157739,theory(equality)]) ).
cnf(158026,plain,
( doDivides0(X1,sdtasdt0(xm,xr))
| ~ doDivides0(X1,sdtasdt0(xp,esk1_0))
| ~ doDivides0(X1,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[78042,157739,theory(equality)]) ).
cnf(158027,plain,
( doDivides0(X1,sdtasdt0(xm,xr))
| ~ doDivides0(X1,sdtasdt0(xp,esk1_0))
| ~ doDivides0(X1,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[158026,157739,theory(equality)]) ).
cnf(158041,plain,
( aNaturalNumber0(sdtasdt0(xm,xr))
| $false
| ~ aNaturalNumber0(xr) ),
inference(rw,[status(thm)],[157744,262,theory(equality)]) ).
cnf(158042,plain,
( aNaturalNumber0(sdtasdt0(xm,xr))
| $false
| $false ),
inference(rw,[status(thm)],[158041,71,theory(equality)]) ).
cnf(158043,plain,
aNaturalNumber0(sdtasdt0(xm,xr)),
inference(cn,[status(thm)],[158042,theory(equality)]) ).
cnf(160835,plain,
( doDivides0(X1,sdtasdt0(xm,xr))
| ~ doDivides0(X1,sdtasdt0(xp,esk1_0))
| ~ doDivides0(X1,sdtasdt0(xp,xm))
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[158027,158043,theory(equality)]) ).
cnf(160836,plain,
( doDivides0(X1,sdtasdt0(xm,xr))
| ~ doDivides0(X1,sdtasdt0(xp,esk1_0))
| ~ doDivides0(X1,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[160835,theory(equality)]) ).
cnf(160837,plain,
( doDivides0(xp,sdtasdt0(xm,xr))
| ~ doDivides0(xp,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[160836,411,theory(equality)]) ).
cnf(160850,plain,
( doDivides0(xp,sdtasdt0(xm,xr))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[160837,242,theory(equality)]) ).
cnf(160851,plain,
( doDivides0(xp,sdtasdt0(xm,xr))
| $false
| $false ),
inference(rw,[status(thm)],[160850,261,theory(equality)]) ).
cnf(160852,plain,
doDivides0(xp,sdtasdt0(xm,xr)),
inference(cn,[status(thm)],[160851,theory(equality)]) ).
cnf(160853,plain,
$false,
inference(sr,[status(thm)],[160852,493,theory(equality)]) ).
cnf(160854,plain,
$false,
160853,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM492+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n094.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 05:42:45 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 3.15/3.39 -running prover on /export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1 with time limit 29
% 3.15/3.39 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpbdqytO/sel_theBenchmark.p_1']
% 3.15/3.39 -prover status Theorem
% 3.15/3.39 Problem theBenchmark.p solved in phase 0.
% 3.15/3.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/3.39 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/3.39 Solved 1 out of 1.
% 3.15/3.39 # Problem is unsatisfiable (or provable), constructing proof object
% 3.15/3.39 # SZS status Theorem
% 3.15/3.39 # SZS output start CNFRefutation.
% See solution above
% 3.15/3.40 # SZS output end CNFRefutation
%------------------------------------------------------------------------------