TSTP Solution File: NUM518+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM518+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n106.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 0.42s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 89 ( 21 unt; 0 def)
% Number of atoms : 453 ( 35 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 548 ( 184 ~; 203 |; 150 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 64 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& equal(xk,sdtasdt0(xr,X1)) )
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& equal(xr,sdtasdt0(X1,X2)) )
| doDivides0(X1,xr) ) )
=> ( equal(X1,sz10)
| equal(X1,xr) ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1',m__2342) ).
fof(6,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1',mDivTrans) ).
fof(9,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( ~ equal(X1,sz00)
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) )
=> equal(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1',mMulCanc) ).
fof(10,axiom,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(xn,sdtasdt0(xr,X1)) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1',m__2487) ).
fof(11,axiom,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtsldt0(xn,xr),sdtasdt0(xp,X1)) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ( ? [X1] :
( aNaturalNumber0(X1)
& equal(xm,sdtasdt0(xp,X1)) )
& doDivides0(xp,xm) ) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/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/tmptuYX82/sel_theBenchmark.p_1',mDefDiv) ).
fof(23,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1',m__1837) ).
fof(27,axiom,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
=> equal(sdtsldt0(xn,xr),xn) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtsldt0(xn,xr),X1),xn) )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1',m__2504) ).
fof(37,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(xn,sdtasdt0(xp,X1)) )
| doDivides0(xp,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& equal(xm,sdtasdt0(xp,X1)) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1',m__) ).
fof(51,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1',mMulComm) ).
fof(57,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& equal(xn,sdtasdt0(xp,X1)) )
| doDivides0(xp,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& equal(xm,sdtasdt0(xp,X1)) )
| doDivides0(xp,xm) ),
inference(assume_negation,[status(cth)],[37]) ).
fof(91,plain,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& equal(xk,sdtasdt0(xr,X1)) )
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(xr,sdtasdt0(X1,X2)) )
& ~ doDivides0(X1,xr) )
| equal(X1,sz10)
| equal(X1,xr) )
& isPrime0(xr) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(92,plain,
( aNaturalNumber0(xr)
& ? [X3] :
( aNaturalNumber0(X3)
& equal(xk,sdtasdt0(xr,X3)) )
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& ! [X4] :
( ~ aNaturalNumber0(X4)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| ~ equal(xr,sdtasdt0(X4,X5)) )
& ~ doDivides0(X4,xr) )
| equal(X4,sz10)
| equal(X4,xr) )
& isPrime0(xr) ),
inference(variable_rename,[status(thm)],[91]) ).
fof(93,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(esk4_0)
& equal(xk,sdtasdt0(xr,esk4_0))
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& ! [X4] :
( ~ aNaturalNumber0(X4)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| ~ equal(xr,sdtasdt0(X4,X5)) )
& ~ doDivides0(X4,xr) )
| equal(X4,sz10)
| equal(X4,xr) )
& isPrime0(xr) ),
inference(skolemize,[status(esa)],[92]) ).
fof(94,plain,
! [X4,X5] :
( ( ( ( ~ aNaturalNumber0(X5)
| ~ equal(xr,sdtasdt0(X4,X5)) )
& ~ doDivides0(X4,xr) )
| ~ aNaturalNumber0(X4)
| equal(X4,sz10)
| equal(X4,xr) )
& aNaturalNumber0(xr)
& aNaturalNumber0(esk4_0)
& equal(xk,sdtasdt0(xr,esk4_0))
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& isPrime0(xr) ),
inference(shift_quantors,[status(thm)],[93]) ).
fof(95,plain,
! [X4,X5] :
( ( ~ aNaturalNumber0(X5)
| ~ equal(xr,sdtasdt0(X4,X5))
| ~ aNaturalNumber0(X4)
| equal(X4,sz10)
| equal(X4,xr) )
& ( ~ doDivides0(X4,xr)
| ~ aNaturalNumber0(X4)
| equal(X4,sz10)
| equal(X4,xr) )
& aNaturalNumber0(xr)
& aNaturalNumber0(esk4_0)
& equal(xk,sdtasdt0(xr,esk4_0))
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& isPrime0(xr) ),
inference(distribute,[status(thm)],[94]) ).
cnf(98,plain,
xr != sz00,
inference(split_conjunct,[status(thm)],[95]) ).
cnf(102,plain,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[95]) ).
fof(105,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3)
| doDivides0(X1,X3) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(106,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X5,X6)
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[105]) ).
cnf(107,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[106]) ).
fof(114,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| equal(X1,sz00)
| ! [X2,X3] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) )
| equal(X2,X3) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(115,plain,
! [X4] :
( ~ aNaturalNumber0(X4)
| equal(X4,sz00)
| ! [X5,X6] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) )
| equal(X5,X6) ) ),
inference(variable_rename,[status(thm)],[114]) ).
fof(116,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) )
| equal(X5,X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) ),
inference(shift_quantors,[status(thm)],[115]) ).
fof(117,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) )
& ( ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[116]) ).
cnf(119,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[117]) ).
fof(120,plain,
( ? [X2] :
( aNaturalNumber0(X2)
& equal(xn,sdtasdt0(xr,X2)) )
& doDivides0(xr,xn) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(121,plain,
( aNaturalNumber0(esk5_0)
& equal(xn,sdtasdt0(xr,esk5_0))
& doDivides0(xr,xn) ),
inference(skolemize,[status(esa)],[120]) ).
cnf(123,plain,
xn = sdtasdt0(xr,esk5_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(124,plain,
aNaturalNumber0(esk5_0),
inference(split_conjunct,[status(thm)],[121]) ).
fof(125,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtsldt0(xn,xr),sdtasdt0(xp,X2)) )
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ( ? [X3] :
( aNaturalNumber0(X3)
& equal(xm,sdtasdt0(xp,X3)) )
& doDivides0(xp,xm) ) ),
inference(variable_rename,[status(thm)],[11]) ).
fof(126,plain,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& aNaturalNumber0(esk6_0)
& equal(sdtsldt0(xn,xr),sdtasdt0(xp,esk6_0))
& doDivides0(xp,sdtsldt0(xn,xr)) )
| ( aNaturalNumber0(esk7_0)
& equal(xm,sdtasdt0(xp,esk7_0))
& doDivides0(xp,xm) ) ),
inference(skolemize,[status(esa)],[125]) ).
fof(127,plain,
( ( aNaturalNumber0(esk7_0)
| aNaturalNumber0(sdtsldt0(xn,xr)) )
& ( equal(xm,sdtasdt0(xp,esk7_0))
| aNaturalNumber0(sdtsldt0(xn,xr)) )
& ( doDivides0(xp,xm)
| aNaturalNumber0(sdtsldt0(xn,xr)) )
& ( aNaturalNumber0(esk7_0)
| equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
& ( equal(xm,sdtasdt0(xp,esk7_0))
| equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
& ( doDivides0(xp,xm)
| equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
& ( aNaturalNumber0(esk7_0)
| aNaturalNumber0(esk6_0) )
& ( equal(xm,sdtasdt0(xp,esk7_0))
| aNaturalNumber0(esk6_0) )
& ( doDivides0(xp,xm)
| aNaturalNumber0(esk6_0) )
& ( aNaturalNumber0(esk7_0)
| equal(sdtsldt0(xn,xr),sdtasdt0(xp,esk6_0)) )
& ( equal(xm,sdtasdt0(xp,esk7_0))
| equal(sdtsldt0(xn,xr),sdtasdt0(xp,esk6_0)) )
& ( doDivides0(xp,xm)
| equal(sdtsldt0(xn,xr),sdtasdt0(xp,esk6_0)) )
& ( aNaturalNumber0(esk7_0)
| doDivides0(xp,sdtsldt0(xn,xr)) )
& ( equal(xm,sdtasdt0(xp,esk7_0))
| doDivides0(xp,sdtsldt0(xn,xr)) )
& ( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ) ),
inference(distribute,[status(thm)],[126]) ).
cnf(128,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(131,plain,
( sdtsldt0(xn,xr) = sdtasdt0(xp,esk6_0)
| doDivides0(xp,xm) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(137,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| doDivides0(xp,xm) ),
inference(split_conjunct,[status(thm)],[127]) ).
fof(281,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(282,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)],[281]) ).
fof(283,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk12_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk12_2(X4,X5))) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7)) )
| doDivides0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[282]) ).
fof(284,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5) )
& ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk12_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk12_2(X4,X5))) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[283]) ).
fof(285,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk12_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(X5,sdtasdt0(X4,esk12_2(X4,X5)))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[284]) ).
cnf(288,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[285]) ).
cnf(321,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(323,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[23]) ).
fof(341,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ~ equal(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtsldt0(xn,xr),X1),xn) )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(342,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ~ equal(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtpldt0(sdtsldt0(xn,xr),X2),xn) )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(variable_rename,[status(thm)],[341]) ).
fof(343,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ~ equal(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& aNaturalNumber0(esk16_0)
& equal(sdtpldt0(sdtsldt0(xn,xr),esk16_0),xn)
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(skolemize,[status(esa)],[342]) ).
cnf(348,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[343]) ).
fof(393,negated_conjecture,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| ~ equal(xn,sdtasdt0(xp,X1)) )
& ~ doDivides0(xp,xn)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| ~ equal(xm,sdtasdt0(xp,X1)) )
& ~ doDivides0(xp,xm) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(394,negated_conjecture,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(xn,sdtasdt0(xp,X2)) )
& ~ doDivides0(xp,xn)
& ! [X3] :
( ~ aNaturalNumber0(X3)
| ~ equal(xm,sdtasdt0(xp,X3)) )
& ~ doDivides0(xp,xm) ),
inference(variable_rename,[status(thm)],[393]) ).
fof(395,negated_conjecture,
! [X2,X3] :
( ( ~ aNaturalNumber0(X3)
| ~ equal(xm,sdtasdt0(xp,X3)) )
& ( ~ aNaturalNumber0(X2)
| ~ equal(xn,sdtasdt0(xp,X2)) )
& ~ doDivides0(xp,xn)
& ~ doDivides0(xp,xm) ),
inference(shift_quantors,[status(thm)],[394]) ).
cnf(396,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[395]) ).
cnf(397,negated_conjecture,
~ doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[395]) ).
fof(462,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(463,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[462]) ).
cnf(464,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[463]) ).
cnf(613,plain,
doDivides0(xp,sdtsldt0(xn,xr)),
inference(sr,[status(thm)],[128,396,theory(equality)]) ).
cnf(721,plain,
( doDivides0(X1,X2)
| sdtasdt0(X3,X1) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[288,464,theory(equality)]) ).
cnf(816,plain,
sdtsldt0(xn,xr) = sdtasdt0(xp,esk6_0),
inference(sr,[status(thm)],[131,396,theory(equality)]) ).
cnf(820,plain,
doDivides0(xp,sdtasdt0(xp,esk6_0)),
inference(rw,[status(thm)],[613,816,theory(equality)]) ).
cnf(822,plain,
aNaturalNumber0(sdtasdt0(xp,esk6_0)),
inference(rw,[status(thm)],[348,816,theory(equality)]) ).
cnf(849,plain,
( sdtasdt0(xr,sdtasdt0(xp,esk6_0)) = xn
| doDivides0(xp,xm) ),
inference(rw,[status(thm)],[137,816,theory(equality)]) ).
cnf(850,plain,
sdtasdt0(xr,sdtasdt0(xp,esk6_0)) = xn,
inference(sr,[status(thm)],[849,396,theory(equality)]) ).
cnf(1597,plain,
( sz00 = xr
| esk5_0 = X1
| xn != sdtasdt0(xr,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[119,123,theory(equality)]) ).
cnf(1633,plain,
( sz00 = xr
| esk5_0 = X1
| xn != sdtasdt0(xr,X1)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xr) ),
inference(rw,[status(thm)],[1597,124,theory(equality)]) ).
cnf(1634,plain,
( sz00 = xr
| esk5_0 = X1
| xn != sdtasdt0(xr,X1)
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[1633,102,theory(equality)]) ).
cnf(1635,plain,
( sz00 = xr
| esk5_0 = X1
| xn != sdtasdt0(xr,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1634,theory(equality)]) ).
cnf(1636,plain,
( esk5_0 = X1
| sdtasdt0(xr,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[1635,98,theory(equality)]) ).
cnf(18868,plain,
( esk5_0 = sdtasdt0(xp,esk6_0)
| ~ aNaturalNumber0(sdtasdt0(xp,esk6_0)) ),
inference(spm,[status(thm)],[1636,850,theory(equality)]) ).
cnf(18881,plain,
( esk5_0 = sdtasdt0(xp,esk6_0)
| $false ),
inference(rw,[status(thm)],[18868,822,theory(equality)]) ).
cnf(18882,plain,
esk5_0 = sdtasdt0(xp,esk6_0),
inference(cn,[status(thm)],[18881,theory(equality)]) ).
cnf(19091,plain,
doDivides0(xp,esk5_0),
inference(rw,[status(thm)],[820,18882,theory(equality)]) ).
cnf(19094,plain,
sdtasdt0(xr,esk5_0) = xn,
inference(rw,[status(thm)],[850,18882,theory(equality)]) ).
cnf(24028,plain,
( doDivides0(esk5_0,X1)
| xn != X1
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[721,19094,theory(equality)]) ).
cnf(24066,plain,
( doDivides0(esk5_0,X1)
| xn != X1
| $false
| ~ aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[24028,102,theory(equality)]) ).
cnf(24067,plain,
( doDivides0(esk5_0,X1)
| xn != X1
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[24066,124,theory(equality)]) ).
cnf(24068,plain,
( doDivides0(esk5_0,X1)
| xn != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[24067,theory(equality)]) ).
cnf(24094,plain,
( doDivides0(esk5_0,xn)
| ~ aNaturalNumber0(xn) ),
inference(er,[status(thm)],[24068,theory(equality)]) ).
cnf(24095,plain,
( doDivides0(esk5_0,xn)
| $false ),
inference(rw,[status(thm)],[24094,323,theory(equality)]) ).
cnf(24096,plain,
doDivides0(esk5_0,xn),
inference(cn,[status(thm)],[24095,theory(equality)]) ).
cnf(24098,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,esk5_0)
| ~ aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[107,24096,theory(equality)]) ).
cnf(24107,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,esk5_0)
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[24098,124,theory(equality)]) ).
cnf(24108,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,esk5_0)
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[24107,323,theory(equality)]) ).
cnf(24109,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,esk5_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[24108,theory(equality)]) ).
cnf(24131,plain,
( doDivides0(xp,xn)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[24109,19091,theory(equality)]) ).
cnf(24137,plain,
( doDivides0(xp,xn)
| $false ),
inference(rw,[status(thm)],[24131,321,theory(equality)]) ).
cnf(24138,plain,
doDivides0(xp,xn),
inference(cn,[status(thm)],[24137,theory(equality)]) ).
cnf(24139,plain,
$false,
inference(sr,[status(thm)],[24138,397,theory(equality)]) ).
cnf(24140,plain,
$false,
24139,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM518+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 : n106.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 06:52:15 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.42/0.81 -running prover on /export/starexec/sandbox/tmp/tmptuYX82/sel_theBenchmark.p_1 with time limit 29
% 0.42/0.81 -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/tmptuYX82/sel_theBenchmark.p_1']
% 0.42/0.81 -prover status Theorem
% 0.42/0.81 Problem theBenchmark.p solved in phase 0.
% 0.42/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.81 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.81 Solved 1 out of 1.
% 0.42/0.81 # Problem is unsatisfiable (or provable), constructing proof object
% 0.42/0.81 # SZS status Theorem
% 0.42/0.81 # SZS output start CNFRefutation.
% See solution above
% 0.42/0.82 # SZS output end CNFRefutation
%------------------------------------------------------------------------------