%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM487+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n070.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 15:21:31 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 13
% Syntax : Number of formulae : 98 ( 17 unt; 0 def)
% Number of atoms : 452 ( 63 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 596 ( 242 ~; 270 |; 71 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 72 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',m__1860) ).
fof(3,axiom,
equal(xr,sdtmndt0(xn,xp)),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',m__1883) ).
fof(5,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',mAddComm) ).
fof(15,axiom,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',m__1870) ).
fof(17,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',m__1837) ).
fof(22,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',mDefLE) ).
fof(29,conjecture,
( ~ equal(xr,xn)
& sdtlseqdt0(xr,xn) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',m__) ).
fof(33,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/tmpctNkGx/sel_theBenchmark.p_1',mDefDiff) ).
fof(35,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( ~ equal(X1,sz00)
& ~ equal(X1,sz10)
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( equal(X2,sz10)
| equal(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',mDefPrime) ).
fof(36,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',mSortsC) ).
fof(37,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',mSortsB) ).
fof(39,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( equal(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
| equal(sdtpldt0(X2,X1),sdtpldt0(X3,X1)) )
=> equal(X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',mAddCanc) ).
fof(43,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1',m_AddZero) ).
fof(45,negated_conjecture,
~ ( ~ equal(xr,xn)
& sdtlseqdt0(xr,xn) ),
inference(assume_negation,[status(cth)],[29]) ).
cnf(52,plain,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(53,plain,
xr = sdtmndt0(xn,xp),
inference(split_conjunct,[status(thm)],[3]) ).
fof(57,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(58,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[57]) ).
cnf(59,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(99,plain,
sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(103,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(105,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[17]) ).
fof(127,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)],[22]) ).
fof(128,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)],[127]) ).
fof(129,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ sdtlseqdt0(X4,X5)
| ( aNaturalNumber0(esk2_2(X4,X5))
& equal(sdtpldt0(X4,esk2_2(X4,X5)),X5) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5) )
| sdtlseqdt0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[128]) ).
fof(130,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5)
| sdtlseqdt0(X4,X5) )
& ( ~ sdtlseqdt0(X4,X5)
| ( aNaturalNumber0(esk2_2(X4,X5))
& equal(sdtpldt0(X4,esk2_2(X4,X5)),X5) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[129]) ).
fof(131,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5)
| sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk2_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(sdtpldt0(X4,esk2_2(X4,X5)),X5)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[130]) ).
cnf(134,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[131]) ).
fof(158,negated_conjecture,
( equal(xr,xn)
| ~ sdtlseqdt0(xr,xn) ),
inference(fof_nnf,[status(thm)],[45]) ).
cnf(159,negated_conjecture,
( xr = xn
| ~ sdtlseqdt0(xr,xn) ),
inference(split_conjunct,[status(thm)],[158]) ).
fof(171,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)],[33]) ).
fof(172,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)],[171]) ).
fof(173,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)],[172]) ).
fof(174,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)],[173]) ).
cnf(176,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[174]) ).
cnf(177,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[174]) ).
fof(181,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( ( ~ isPrime0(X1)
| ( ~ equal(X1,sz00)
& ~ equal(X1,sz10)
& ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| equal(X2,sz10)
| equal(X2,X1) ) ) )
& ( equal(X1,sz00)
| equal(X1,sz10)
| ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& ~ equal(X2,sz10)
& ~ equal(X2,X1) )
| isPrime0(X1) ) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(182,plain,
! [X3] :
( ~ aNaturalNumber0(X3)
| ( ( ~ isPrime0(X3)
| ( ~ equal(X3,sz00)
& ~ equal(X3,sz10)
& ! [X4] :
( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| equal(X4,sz10)
| equal(X4,X3) ) ) )
& ( equal(X3,sz00)
| equal(X3,sz10)
| ? [X5] :
( aNaturalNumber0(X5)
& doDivides0(X5,X3)
& ~ equal(X5,sz10)
& ~ equal(X5,X3) )
| isPrime0(X3) ) ) ),
inference(variable_rename,[status(thm)],[181]) ).
fof(183,plain,
! [X3] :
( ~ aNaturalNumber0(X3)
| ( ( ~ isPrime0(X3)
| ( ~ equal(X3,sz00)
& ~ equal(X3,sz10)
& ! [X4] :
( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| equal(X4,sz10)
| equal(X4,X3) ) ) )
& ( equal(X3,sz00)
| equal(X3,sz10)
| ( aNaturalNumber0(esk3_1(X3))
& doDivides0(esk3_1(X3),X3)
& ~ equal(esk3_1(X3),sz10)
& ~ equal(esk3_1(X3),X3) )
| isPrime0(X3) ) ) ),
inference(skolemize,[status(esa)],[182]) ).
fof(184,plain,
! [X3,X4] :
( ( ( ( ( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| equal(X4,sz10)
| equal(X4,X3) )
& ~ equal(X3,sz00)
& ~ equal(X3,sz10) )
| ~ isPrime0(X3) )
& ( equal(X3,sz00)
| equal(X3,sz10)
| ( aNaturalNumber0(esk3_1(X3))
& doDivides0(esk3_1(X3),X3)
& ~ equal(esk3_1(X3),sz10)
& ~ equal(esk3_1(X3),X3) )
| isPrime0(X3) ) )
| ~ aNaturalNumber0(X3) ),
inference(shift_quantors,[status(thm)],[183]) ).
fof(185,plain,
! [X3,X4] :
( ( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| equal(X4,sz10)
| equal(X4,X3)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ equal(X3,sz00)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ equal(X3,sz10)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( aNaturalNumber0(esk3_1(X3))
| equal(X3,sz00)
| equal(X3,sz10)
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( doDivides0(esk3_1(X3),X3)
| equal(X3,sz00)
| equal(X3,sz10)
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ equal(esk3_1(X3),sz10)
| equal(X3,sz00)
| equal(X3,sz10)
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ equal(esk3_1(X3),X3)
| equal(X3,sz00)
| equal(X3,sz10)
| isPrime0(X3)
| ~ aNaturalNumber0(X3) ) ),
inference(distribute,[status(thm)],[184]) ).
cnf(191,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(193,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[36]) ).
fof(194,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(195,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[194]) ).
cnf(196,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[195]) ).
fof(204,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ( ~ equal(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
& ~ equal(sdtpldt0(X2,X1),sdtpldt0(X3,X1)) )
| equal(X2,X3) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(205,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtpldt0(X4,X5),sdtpldt0(X4,X6))
& ~ equal(sdtpldt0(X5,X4),sdtpldt0(X6,X4)) )
| equal(X5,X6) ),
inference(variable_rename,[status(thm)],[204]) ).
fof(206,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtpldt0(X4,X5),sdtpldt0(X4,X6))
| equal(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( ~ equal(sdtpldt0(X5,X4),sdtpldt0(X6,X4))
| equal(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[205]) ).
cnf(208,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[206]) ).
fof(219,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(220,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[219]) ).
fof(221,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[220]) ).
cnf(223,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(229,plain,
( sz00 != xp
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[191,52,theory(equality)]) ).
cnf(230,plain,
( sz00 != xp
| $false ),
inference(rw,[status(thm)],[229,103,theory(equality)]) ).
cnf(231,plain,
sz00 != xp,
inference(cn,[status(thm)],[230,theory(equality)]) ).
cnf(372,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(er,[status(thm)],[134,theory(equality)]) ).
cnf(386,plain,
( aNaturalNumber0(X1)
| xr != X1
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[177,53,theory(equality)]) ).
cnf(387,plain,
( aNaturalNumber0(X1)
| xr != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[386,99,theory(equality)]) ).
cnf(388,plain,
( aNaturalNumber0(X1)
| xr != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[387,103,theory(equality)]) ).
cnf(389,plain,
( aNaturalNumber0(X1)
| xr != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[388,105,theory(equality)]) ).
cnf(390,plain,
( aNaturalNumber0(X1)
| xr != X1 ),
inference(cn,[status(thm)],[389,theory(equality)]) ).
cnf(419,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[176,theory(equality)]) ).
cnf(420,plain,
( sdtpldt0(xp,X1) = xn
| xr != X1
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[176,53,theory(equality)]) ).
cnf(421,plain,
( sdtpldt0(xp,X1) = xn
| xr != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[420,99,theory(equality)]) ).
cnf(422,plain,
( sdtpldt0(xp,X1) = xn
| xr != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[421,103,theory(equality)]) ).
cnf(423,plain,
( sdtpldt0(xp,X1) = xn
| xr != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[422,105,theory(equality)]) ).
cnf(424,plain,
( sdtpldt0(xp,X1) = xn
| xr != X1 ),
inference(cn,[status(thm)],[423,theory(equality)]) ).
cnf(426,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[208,223,theory(equality)]) ).
cnf(436,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[426,193,theory(equality)]) ).
cnf(437,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[436,theory(equality)]) ).
cnf(1727,plain,
( xn = sdtpldt0(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xr != X1 ),
inference(spm,[status(thm)],[59,424,theory(equality)]) ).
cnf(1751,plain,
( xn = sdtpldt0(X1,xp)
| ~ aNaturalNumber0(X1)
| $false
| xr != X1 ),
inference(rw,[status(thm)],[1727,103,theory(equality)]) ).
cnf(1752,plain,
( xn = sdtpldt0(X1,xp)
| ~ aNaturalNumber0(X1)
| xr != X1 ),
inference(cn,[status(thm)],[1751,theory(equality)]) ).
cnf(2873,plain,
( sdtpldt0(X1,xp) = xn
| xr != X1 ),
inference(csr,[status(thm)],[1752,390]) ).
cnf(3284,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[372,196]) ).
cnf(3303,plain,
( sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| xr != X1 ),
inference(spm,[status(thm)],[3284,2873,theory(equality)]) ).
cnf(3322,plain,
( sdtlseqdt0(X1,xn)
| $false
| ~ aNaturalNumber0(X1)
| xr != X1 ),
inference(rw,[status(thm)],[3303,103,theory(equality)]) ).
cnf(3323,plain,
( sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(X1)
| xr != X1 ),
inference(cn,[status(thm)],[3322,theory(equality)]) ).
cnf(3327,plain,
( sdtlseqdt0(X1,xn)
| xr != X1 ),
inference(csr,[status(thm)],[3323,390]) ).
cnf(3328,plain,
xr = xn,
inference(spm,[status(thm)],[159,3327,theory(equality)]) ).
cnf(3383,plain,
sdtmndt0(xn,xp) = xn,
inference(rw,[status(thm)],[53,3328,theory(equality)]) ).
cnf(4122,plain,
( sdtpldt0(xp,xn) = xn
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[419,3383,theory(equality)]) ).
cnf(4149,plain,
( sdtpldt0(xp,xn) = xn
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[4122,99,theory(equality)]) ).
cnf(4150,plain,
( sdtpldt0(xp,xn) = xn
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[4149,103,theory(equality)]) ).
cnf(4151,plain,
( sdtpldt0(xp,xn) = xn
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4150,105,theory(equality)]) ).
cnf(4152,plain,
sdtpldt0(xp,xn) = xn,
inference(cn,[status(thm)],[4151,theory(equality)]) ).
cnf(4173,plain,
( xn = sdtpldt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[59,4152,theory(equality)]) ).
cnf(4198,plain,
( xn = sdtpldt0(xn,xp)
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[4173,105,theory(equality)]) ).
cnf(4199,plain,
( xn = sdtpldt0(xn,xp)
| $false
| $false ),
inference(rw,[status(thm)],[4198,103,theory(equality)]) ).
cnf(4200,plain,
xn = sdtpldt0(xn,xp),
inference(cn,[status(thm)],[4199,theory(equality)]) ).
cnf(4349,plain,
( sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[437,4200,theory(equality)]) ).
cnf(4364,plain,
( sz00 = xp
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[4349,105,theory(equality)]) ).
cnf(4365,plain,
( sz00 = xp
| $false
| $false ),
inference(rw,[status(thm)],[4364,103,theory(equality)]) ).
cnf(4366,plain,
sz00 = xp,
inference(cn,[status(thm)],[4365,theory(equality)]) ).
cnf(4367,plain,
$false,
inference(sr,[status(thm)],[4366,231,theory(equality)]) ).
cnf(4368,plain,
$false,
4367,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM487+1 : TPTP v7.0.0. Released v4.0.0.
% 0.02/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n070.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 05:33:59 CST 2018
% 0.02/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.42 -running prover on /export/starexec/sandbox2/tmp/tmpctNkGx/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.42 -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/tmpctNkGx/sel_theBenchmark.p_1']
% 0.06/0.42 -prover status Theorem
% 0.06/0.42 Problem theBenchmark.p solved in phase 0.
% 0.06/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.42 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.42 Solved 1 out of 1.
% 0.06/0.42 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.42 # SZS status Theorem
% 0.06/0.42 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.42 # SZS output end CNFRefutation
%------------------------------------------------------------------------------