TSTP Solution File: NUM471+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM471+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n156.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 15:21:27 EST 2018
% Result : Theorem 1.61s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 107 ( 22 unt; 0 def)
% Number of atoms : 491 ( 62 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 648 ( 264 ~; 296 |; 74 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 88 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',mDefDiv) ).
fof(9,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',mLETotal) ).
fof(10,axiom,
~ equal(xl,sz00),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',m__1347) ).
fof(15,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( ~ equal(X1,sz00)
& ~ equal(X2,X3)
& sdtlseqdt0(X2,X3) )
=> ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',mMonMul) ).
fof(16,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',mDefLE) ).
fof(18,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',mLEAsym) ).
fof(19,axiom,
( aNaturalNumber0(xp)
& equal(xm,sdtasdt0(xl,xp))
& equal(xp,sdtsldt0(xm,xl)) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',m__1360) ).
fof(20,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/tmpmoG02B/sel_theBenchmark.p_1',mDefQuot) ).
fof(23,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',m__1324) ).
fof(26,axiom,
( aNaturalNumber0(xq)
& equal(sdtpldt0(xm,xn),sdtasdt0(xl,xq))
& equal(xq,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',m__1379) ).
fof(27,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(xp,X1),xq) )
| sdtlseqdt0(xp,xq) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',m__) ).
fof(33,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',mSortsC) ).
fof(34,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',mSortsB) ).
fof(38,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1',m_AddZero) ).
fof(40,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(xp,X1),xq) )
| sdtlseqdt0(xp,xq) ),
inference(assume_negation,[status(cth)],[27]) ).
fof(66,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)],[7]) ).
fof(67,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)],[66]) ).
fof(68,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)],[67]) ).
fof(69,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)],[68]) ).
fof(70,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)],[69]) ).
cnf(73,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[70]) ).
fof(77,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(78,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtlseqdt0(X3,X4)
| ( ~ equal(X4,X3)
& sdtlseqdt0(X4,X3) ) ),
inference(variable_rename,[status(thm)],[77]) ).
fof(79,plain,
! [X3,X4] :
( ( ~ equal(X4,X3)
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( sdtlseqdt0(X4,X3)
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[78]) ).
cnf(80,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(82,plain,
xl != sz00,
inference(split_conjunct,[status(thm)],[10]) ).
fof(100,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| equal(X1,sz00)
| equal(X2,X3)
| ~ sdtlseqdt0(X2,X3)
| ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(101,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
& sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) ) ),
inference(variable_rename,[status(thm)],[100]) ).
fof(102,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[101]) ).
cnf(105,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(107,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)],[16]) ).
fof(108,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)],[107]) ).
fof(109,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)],[108]) ).
fof(110,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)],[109]) ).
fof(111,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)],[110]) ).
cnf(114,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[111]) ).
fof(118,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(119,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[118]) ).
cnf(120,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(122,plain,
xm = sdtasdt0(xl,xp),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(123,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[19]) ).
fof(124,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)],[20]) ).
fof(125,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)],[124]) ).
fof(126,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)],[125]) ).
fof(127,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)],[126]) ).
cnf(128,plain,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(144,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(145,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(146,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(152,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(153,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(154,plain,
aNaturalNumber0(xq),
inference(split_conjunct,[status(thm)],[26]) ).
fof(155,negated_conjecture,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| ~ equal(sdtpldt0(xp,X1),xq) )
& ~ sdtlseqdt0(xp,xq) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(156,negated_conjecture,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(xp,X2),xq) )
& ~ sdtlseqdt0(xp,xq) ),
inference(variable_rename,[status(thm)],[155]) ).
fof(157,negated_conjecture,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(xp,X2),xq) )
& ~ sdtlseqdt0(xp,xq) ),
inference(shift_quantors,[status(thm)],[156]) ).
cnf(158,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(split_conjunct,[status(thm)],[157]) ).
cnf(159,negated_conjecture,
( sdtpldt0(xp,X1) != xq
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[157]) ).
cnf(181,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[33]) ).
fof(182,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(183,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[182]) ).
cnf(184,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[183]) ).
fof(196,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(197,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[196]) ).
fof(198,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[197]) ).
cnf(200,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[198]) ).
cnf(206,negated_conjecture,
( xp != xq
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[159,200,theory(equality)]) ).
cnf(208,negated_conjecture,
( xp != xq
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[206,181,theory(equality)]) ).
cnf(209,negated_conjecture,
( xp != xq
| $false
| $false ),
inference(rw,[status(thm)],[208,123,theory(equality)]) ).
cnf(210,negated_conjecture,
xp != xq,
inference(cn,[status(thm)],[209,theory(equality)]) ).
cnf(216,plain,
( aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[184,153,theory(equality)]) ).
cnf(218,plain,
( aNaturalNumber0(sdtasdt0(xl,xq))
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[216,144,theory(equality)]) ).
cnf(219,plain,
( aNaturalNumber0(sdtasdt0(xl,xq))
| $false
| $false ),
inference(rw,[status(thm)],[218,145,theory(equality)]) ).
cnf(220,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(cn,[status(thm)],[219,theory(equality)]) ).
cnf(221,plain,
sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
inference(rw,[status(thm)],[152,153,theory(equality)]) ).
cnf(247,plain,
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[80,123,theory(equality)]) ).
cnf(322,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(er,[status(thm)],[114,theory(equality)]) ).
cnf(960,plain,
( sz00 = xl
| xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[105,122,theory(equality)]) ).
cnf(985,plain,
( sz00 = xl
| xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[960,146,theory(equality)]) ).
cnf(986,plain,
( sz00 = xl
| xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| $false
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[985,123,theory(equality)]) ).
cnf(987,plain,
( sz00 = xl
| xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[986,theory(equality)]) ).
cnf(988,plain,
( xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[987,82,theory(equality)]) ).
cnf(1019,plain,
( sdtsldt0(X1,X2) = X3
| sz00 = X2
| sdtasdt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[128,73]) ).
cnf(1021,plain,
( sdtsldt0(X1,xl) = xp
| sz00 = xl
| xm != X1
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[1019,122,theory(equality)]) ).
cnf(1031,plain,
( sdtsldt0(X1,xl) = xp
| sz00 = xl
| xm != X1
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1021,123,theory(equality)]) ).
cnf(1032,plain,
( sdtsldt0(X1,xl) = xp
| sz00 = xl
| xm != X1
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1031,146,theory(equality)]) ).
cnf(1033,plain,
( sdtsldt0(X1,xl) = xp
| sz00 = xl
| xm != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1032,theory(equality)]) ).
cnf(1034,plain,
( sdtsldt0(X1,xl) = xp
| xm != X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[1033,82,theory(equality)]) ).
cnf(1157,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(xq,xp) ),
inference(spm,[status(thm)],[247,154,theory(equality)]) ).
cnf(1170,plain,
sdtlseqdt0(xq,xp),
inference(sr,[status(thm)],[1157,158,theory(equality)]) ).
cnf(2680,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[322,184]) ).
cnf(2686,plain,
( sdtpldt0(X1,X2) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[120,2680,theory(equality)]) ).
cnf(2864,plain,
( xp = xq
| xm != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(spm,[status(thm)],[221,1034,theory(equality)]) ).
cnf(2867,plain,
( xp = xq
| xm != sdtasdt0(xl,xq)
| $false ),
inference(rw,[status(thm)],[2864,220,theory(equality)]) ).
cnf(2868,plain,
( xp = xq
| xm != sdtasdt0(xl,xq) ),
inference(cn,[status(thm)],[2867,theory(equality)]) ).
cnf(2869,plain,
sdtasdt0(xl,xq) != xm,
inference(sr,[status(thm)],[2868,210,theory(equality)]) ).
cnf(79673,plain,
( sdtpldt0(X1,X2) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X2),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[2686,184]) ).
cnf(79674,plain,
( sdtasdt0(xl,xq) = xm
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[79673,153,theory(equality)]) ).
cnf(79777,plain,
( sdtasdt0(xl,xq) = xm
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[79674,145,theory(equality)]) ).
cnf(79778,plain,
( sdtasdt0(xl,xq) = xm
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| $false
| $false ),
inference(rw,[status(thm)],[79777,144,theory(equality)]) ).
cnf(79779,plain,
( sdtasdt0(xl,xq) = xm
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(cn,[status(thm)],[79778,theory(equality)]) ).
cnf(79780,plain,
~ sdtlseqdt0(sdtasdt0(xl,xq),xm),
inference(sr,[status(thm)],[79779,2869,theory(equality)]) ).
cnf(80066,plain,
( xp = xq
| ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[79780,988,theory(equality)]) ).
cnf(80089,plain,
( xp = xq
| $false
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[80066,1170,theory(equality)]) ).
cnf(80090,plain,
( xp = xq
| $false
| $false ),
inference(rw,[status(thm)],[80089,154,theory(equality)]) ).
cnf(80091,plain,
xp = xq,
inference(cn,[status(thm)],[80090,theory(equality)]) ).
cnf(80092,plain,
$false,
inference(sr,[status(thm)],[80091,210,theory(equality)]) ).
cnf(80093,plain,
$false,
80092,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM471+2 : 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 : n156.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 04:58:15 CST 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.27 --creating new selector for []
% 1.61/1.78 -running prover on /export/starexec/sandbox/tmp/tmpmoG02B/sel_theBenchmark.p_1 with time limit 29
% 1.61/1.78 -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/tmpmoG02B/sel_theBenchmark.p_1']
% 1.61/1.78 -prover status Theorem
% 1.61/1.78 Problem theBenchmark.p solved in phase 0.
% 1.61/1.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.61/1.78 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.61/1.78 Solved 1 out of 1.
% 1.61/1.78 # Problem is unsatisfiable (or provable), constructing proof object
% 1.61/1.78 # SZS status Theorem
% 1.61/1.78 # SZS output start CNFRefutation.
% See solution above
% 1.61/1.79 # SZS output end CNFRefutation
%------------------------------------------------------------------------------