%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM518+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n097.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 15:21:37 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 95 ( 21 unt; 0 def)
% Number of atoms : 449 ( 58 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 582 ( 228 ~; 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; 7 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn 63 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',m_MulZero) ).
fof(5,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',m__2342) ).
fof(10,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',m__2487) ).
fof(11,axiom,
( doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',m__2645) ).
fof(15,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',mDefDiv) ).
fof(18,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',mLETran) ).
fof(20,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',m__1870) ).
fof(21,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& ~ equal(X2,sz00) )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',mDivLE) ).
fof(23,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',m__1837) ).
fof(27,axiom,
( ~ equal(sdtsldt0(xn,xr),xn)
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',m__2504) ).
fof(33,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ~ equal(X1,sz00)
& doDivides0(X1,X2) )
=> ! [X3] :
( equal(X3,sdtsldt0(X2,X1))
<=> ( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',mDefQuot) ).
fof(37,conjecture,
( doDivides0(xp,xn)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',m__) ).
fof(43,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/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',mDefPrime) ).
fof(45,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1',mSortsC) ).
fof(57,negated_conjecture,
~ ( doDivides0(xp,xn)
| doDivides0(xp,xm) ),
inference(assume_negation,[status(cth)],[37]) ).
fof(58,plain,
~ sdtlseqdt0(xp,xn),
inference(fof_simplification,[status(thm)],[20,theory(equality)]) ).
fof(63,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(64,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[63]) ).
fof(65,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aNaturalNumber0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[64]) ).
cnf(67,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(71,plain,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(73,plain,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(89,plain,
doDivides0(xr,xn),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(90,plain,
( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(split_conjunct,[status(thm)],[11]) ).
fof(101,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ( ( ~ doDivides0(X1,X2)
| ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) )
& ( ! [X3] :
( ~ aNaturalNumber0(X3)
| ~ equal(X2,sdtasdt0(X1,X3)) )
| doDivides0(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(102,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ doDivides0(X4,X5)
| ? [X6] :
( aNaturalNumber0(X6)
& equal(X5,sdtasdt0(X4,X6)) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7)) )
| doDivides0(X4,X5) ) ) ),
inference(variable_rename,[status(thm)],[101]) ).
fof(103,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk1_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk1_2(X4,X5))) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7)) )
| doDivides0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[102]) ).
fof(104,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5) )
& ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk1_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk1_2(X4,X5))) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[103]) ).
fof(105,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk1_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(X5,sdtasdt0(X4,esk1_2(X4,X5)))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[104]) ).
cnf(108,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[105]) ).
fof(117,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X3) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(118,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[117]) ).
cnf(119,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[118]) ).
cnf(123,plain,
~ sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[58]) ).
fof(124,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2)
| equal(X2,sz00)
| sdtlseqdt0(X1,X2) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(125,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ doDivides0(X3,X4)
| equal(X4,sz00)
| sdtlseqdt0(X3,X4) ),
inference(variable_rename,[status(thm)],[124]) ).
cnf(126,plain,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(131,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(133,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(147,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(split_conjunct,[status(thm)],[27]) ).
fof(173,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(X1,sz00)
| ~ doDivides0(X1,X2)
| ! [X3] :
( ( ~ equal(X3,sdtsldt0(X2,X1))
| ( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) )
& ( ~ aNaturalNumber0(X3)
| ~ equal(X2,sdtasdt0(X1,X3))
| equal(X3,sdtsldt0(X2,X1)) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(174,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ! [X6] :
( ( ~ equal(X6,sdtsldt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(X5,sdtasdt0(X4,X6)) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4)) ) ) ),
inference(variable_rename,[status(thm)],[173]) ).
fof(175,plain,
! [X4,X5,X6] :
( ( ( ~ equal(X6,sdtsldt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(X5,sdtasdt0(X4,X6)) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4)) ) )
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[174]) ).
fof(176,plain,
! [X4,X5,X6] :
( ( aNaturalNumber0(X6)
| ~ equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(X5,sdtasdt0(X4,X6))
| ~ equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[175]) ).
cnf(178,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[176]) ).
cnf(179,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[176]) ).
fof(190,negated_conjecture,
( ~ doDivides0(xp,xn)
& ~ doDivides0(xp,xm) ),
inference(fof_nnf,[status(thm)],[57]) ).
cnf(191,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(192,negated_conjecture,
~ doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[190]) ).
fof(214,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)],[43]) ).
fof(215,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)],[214]) ).
fof(216,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)],[215]) ).
fof(217,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)],[216]) ).
fof(218,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)],[217]) ).
cnf(224,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(227,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(269,plain,
( sz00 != xr
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[224,71,theory(equality)]) ).
cnf(272,plain,
( sz00 != xr
| $false ),
inference(rw,[status(thm)],[269,73,theory(equality)]) ).
cnf(273,plain,
sz00 != xr,
inference(cn,[status(thm)],[272,theory(equality)]) ).
cnf(274,plain,
doDivides0(xp,sdtsldt0(xn,xr)),
inference(sr,[status(thm)],[90,191,theory(equality)]) ).
cnf(374,plain,
( sz00 = sdtsldt0(xn,xr)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[126,274,theory(equality)]) ).
cnf(387,plain,
( sz00 = sdtsldt0(xn,xr)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| $false ),
inference(rw,[status(thm)],[374,131,theory(equality)]) ).
cnf(388,plain,
( sz00 = sdtsldt0(xn,xr)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(cn,[status(thm)],[387,theory(equality)]) ).
cnf(493,plain,
( doDivides0(X1,X2)
| sz00 != X2
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[108,67,theory(equality)]) ).
cnf(504,plain,
( doDivides0(X1,X2)
| sz00 != X2
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[493,227,theory(equality)]) ).
cnf(505,plain,
( doDivides0(X1,X2)
| sz00 != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[504,theory(equality)]) ).
cnf(579,plain,
( sz00 = X1
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[179,theory(equality)]) ).
cnf(601,plain,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[119,147,theory(equality)]) ).
cnf(615,plain,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[601,133,theory(equality)]) ).
cnf(616,plain,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[615,theory(equality)]) ).
cnf(2393,negated_conjecture,
( sz00 != xn
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[192,505,theory(equality)]) ).
cnf(2404,negated_conjecture,
( sz00 != xn
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[2393,131,theory(equality)]) ).
cnf(2405,negated_conjecture,
( sz00 != xn
| $false
| $false ),
inference(rw,[status(thm)],[2404,133,theory(equality)]) ).
cnf(2406,negated_conjecture,
sz00 != xn,
inference(cn,[status(thm)],[2405,theory(equality)]) ).
cnf(6965,plain,
( sdtlseqdt0(xp,xn)
| sdtsldt0(xn,xr) = sz00
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[616,388,theory(equality)]) ).
cnf(6974,plain,
( sdtlseqdt0(xp,xn)
| sdtsldt0(xn,xr) = sz00
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| $false ),
inference(rw,[status(thm)],[6965,131,theory(equality)]) ).
cnf(6975,plain,
( sdtlseqdt0(xp,xn)
| sdtsldt0(xn,xr) = sz00
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(cn,[status(thm)],[6974,theory(equality)]) ).
cnf(6976,plain,
( sdtsldt0(xn,xr) = sz00
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(sr,[status(thm)],[6975,123,theory(equality)]) ).
cnf(6984,plain,
( sdtsldt0(xn,xr) = sz00
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[6976,579,theory(equality)]) ).
cnf(6986,plain,
( sdtsldt0(xn,xr) = sz00
| sz00 = xr
| $false
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[6984,89,theory(equality)]) ).
cnf(6987,plain,
( sdtsldt0(xn,xr) = sz00
| sz00 = xr
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[6986,73,theory(equality)]) ).
cnf(6988,plain,
( sdtsldt0(xn,xr) = sz00
| sz00 = xr
| $false
| $false
| $false ),
inference(rw,[status(thm)],[6987,133,theory(equality)]) ).
cnf(6989,plain,
( sdtsldt0(xn,xr) = sz00
| sz00 = xr ),
inference(cn,[status(thm)],[6988,theory(equality)]) ).
cnf(6990,plain,
sdtsldt0(xn,xr) = sz00,
inference(sr,[status(thm)],[6989,273,theory(equality)]) ).
cnf(6992,plain,
( sdtasdt0(xr,X1) = xn
| sz00 = xr
| sz00 != X1
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[178,6990,theory(equality)]) ).
cnf(7038,plain,
( sdtasdt0(xr,X1) = xn
| sz00 = xr
| sz00 != X1
| $false
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[6992,89,theory(equality)]) ).
cnf(7039,plain,
( sdtasdt0(xr,X1) = xn
| sz00 = xr
| sz00 != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[7038,73,theory(equality)]) ).
cnf(7040,plain,
( sdtasdt0(xr,X1) = xn
| sz00 = xr
| sz00 != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[7039,133,theory(equality)]) ).
cnf(7041,plain,
( sdtasdt0(xr,X1) = xn
| sz00 = xr
| sz00 != X1 ),
inference(cn,[status(thm)],[7040,theory(equality)]) ).
cnf(7042,plain,
( sdtasdt0(xr,X1) = xn
| sz00 != X1 ),
inference(sr,[status(thm)],[7041,273,theory(equality)]) ).
cnf(7102,plain,
( xn = sz00
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[67,7042,theory(equality)]) ).
cnf(7135,plain,
( xn = sz00
| $false ),
inference(rw,[status(thm)],[7102,73,theory(equality)]) ).
cnf(7136,plain,
xn = sz00,
inference(cn,[status(thm)],[7135,theory(equality)]) ).
cnf(7137,plain,
$false,
inference(sr,[status(thm)],[7136,2406,theory(equality)]) ).
cnf(7138,plain,
$false,
7137,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM518+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n097.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 08:29:59 CST 2018
% 0.02/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.06/0.47 -running prover on /export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.47 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpCUGL9T/sel_theBenchmark.p_1']
% 0.06/0.47 -prover status Theorem
% 0.06/0.47 Problem theBenchmark.p solved in phase 0.
% 0.06/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.47 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.47 Solved 1 out of 1.
% 0.06/0.47 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.47 # SZS status Theorem
% 0.06/0.47 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.48 # SZS output end CNFRefutation
%------------------------------------------------------------------------------