TSTP Solution File: NUM475+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM475+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n089.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 15:21:28 EST 2018
% Result : Theorem 0.35s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 88 ( 26 unt; 0 def)
% Number of atoms : 348 ( 61 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 447 ( 187 ~; 219 |; 31 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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; 7 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(10,axiom,
~ equal(xl,sz00),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__1347) ).
fof(12,axiom,
equal(xr,sdtmndt0(xq,xp)),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__1422) ).
fof(13,axiom,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__1395) ).
fof(21,axiom,
equal(xp,sdtsldt0(xm,xl)),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__1360) ).
fof(22,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/tmpsElfrn/sel_theBenchmark.p_1',mDefQuot) ).
fof(23,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__1324_04) ).
fof(25,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__1324) ).
fof(28,axiom,
equal(xq,sdtsldt0(sdtpldt0(xm,xn),xl)),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__1379) ).
fof(29,conjecture,
equal(xn,sdtasdt0(xl,xr)),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__) ).
fof(32,axiom,
equal(sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)),sdtpldt0(sdtasdt0(xl,xp),xn)),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',m__1459) ).
fof(34,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/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',mDefDiff) ).
fof(35,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',mSortsB_02) ).
fof(37,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',mSortsB) ).
fof(38,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/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1',mAddCanc) ).
fof(43,negated_conjecture,
~ equal(xn,sdtasdt0(xl,xr)),
inference(assume_negation,[status(cth)],[29]) ).
fof(44,negated_conjecture,
~ equal(xn,sdtasdt0(xl,xr)),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
cnf(86,plain,
xl != sz00,
inference(split_conjunct,[status(thm)],[10]) ).
cnf(90,plain,
xr = sdtmndt0(xq,xp),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(91,plain,
sdtlseqdt0(xp,xq),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(127,plain,
xp = sdtsldt0(xm,xl),
inference(split_conjunct,[status(thm)],[21]) ).
fof(128,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)],[22]) ).
fof(129,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)],[128]) ).
fof(130,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)],[129]) ).
fof(131,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)],[130]) ).
cnf(133,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[131]) ).
cnf(134,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[131]) ).
cnf(135,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(136,plain,
doDivides0(xl,xm),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(142,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(143,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(144,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(150,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(151,negated_conjecture,
xn != sdtasdt0(xl,xr),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(160,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
inference(split_conjunct,[status(thm)],[32]) ).
fof(164,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)],[34]) ).
fof(165,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)],[164]) ).
fof(166,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)],[165]) ).
fof(167,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)],[166]) ).
cnf(170,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[167]) ).
fof(171,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(172,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[171]) ).
cnf(173,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[172]) ).
fof(175,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(176,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[175]) ).
cnf(177,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[176]) ).
fof(178,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)],[38]) ).
fof(179,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)],[178]) ).
fof(180,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)],[179]) ).
cnf(182,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[180]) ).
cnf(444,plain,
( aNaturalNumber0(X1)
| xr != X1
| ~ sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[170,90,theory(equality)]) ).
cnf(445,plain,
( aNaturalNumber0(X1)
| xr != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[444,91,theory(equality)]) ).
cnf(446,plain,
( aNaturalNumber0(X1)
| xr != X1
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[445,theory(equality)]) ).
cnf(448,plain,
( sdtasdt0(xl,xr) = X1
| sdtpldt0(sdtasdt0(xl,xp),xn) != sdtpldt0(sdtasdt0(xl,xp),X1)
| ~ aNaturalNumber0(sdtasdt0(xl,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(spm,[status(thm)],[182,160,theory(equality)]) ).
cnf(493,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| sz00 = X1
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[133,theory(equality)]) ).
cnf(594,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xp != X1
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[134,127,theory(equality)]) ).
cnf(595,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xq != X1
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(spm,[status(thm)],[134,150,theory(equality)]) ).
cnf(596,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xp != X1
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[594,136,theory(equality)]) ).
cnf(597,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xp != X1
| $false
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[596,144,theory(equality)]) ).
cnf(598,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xp != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[597,143,theory(equality)]) ).
cnf(599,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xp != X1 ),
inference(cn,[status(thm)],[598,theory(equality)]) ).
cnf(600,plain,
( aNaturalNumber0(X1)
| xp != X1 ),
inference(sr,[status(thm)],[599,86,theory(equality)]) ).
cnf(601,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xq != X1
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(rw,[status(thm)],[595,135,theory(equality)]) ).
cnf(602,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xq != X1
| $false
| $false
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(rw,[status(thm)],[601,144,theory(equality)]) ).
cnf(603,plain,
( sz00 = xl
| aNaturalNumber0(X1)
| xq != X1
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[602,theory(equality)]) ).
cnf(604,plain,
( aNaturalNumber0(X1)
| xq != X1
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(sr,[status(thm)],[603,86,theory(equality)]) ).
cnf(1604,plain,
( aNaturalNumber0(X1)
| xq != X1
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[604,177,theory(equality)]) ).
cnf(1608,plain,
( aNaturalNumber0(X1)
| xq != X1
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[1604,142,theory(equality)]) ).
cnf(1609,plain,
( aNaturalNumber0(X1)
| xq != X1
| $false
| $false ),
inference(rw,[status(thm)],[1608,143,theory(equality)]) ).
cnf(1610,plain,
( aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1609,theory(equality)]) ).
cnf(2013,plain,
( aNaturalNumber0(X1)
| xr != X1
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[446,1610,theory(equality)]) ).
cnf(2032,plain,
( aNaturalNumber0(X1)
| xr != X1 ),
inference(spm,[status(thm)],[2013,600,theory(equality)]) ).
cnf(10551,plain,
( sdtasdt0(xl,xr) = xn
| ~ aNaturalNumber0(sdtasdt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ aNaturalNumber0(xn) ),
inference(er,[status(thm)],[448,theory(equality)]) ).
cnf(10564,plain,
( sdtasdt0(xl,xr) = xn
| ~ aNaturalNumber0(sdtasdt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| $false ),
inference(rw,[status(thm)],[10551,142,theory(equality)]) ).
cnf(10565,plain,
( sdtasdt0(xl,xr) = xn
| ~ aNaturalNumber0(sdtasdt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(cn,[status(thm)],[10564,theory(equality)]) ).
cnf(10566,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(sr,[status(thm)],[10565,151,theory(equality)]) ).
cnf(12735,plain,
( sdtasdt0(xl,xp) = xm
| sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[493,127,theory(equality)]) ).
cnf(12812,plain,
( sdtasdt0(xl,xp) = xm
| sz00 = xl
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[12735,136,theory(equality)]) ).
cnf(12813,plain,
( sdtasdt0(xl,xp) = xm
| sz00 = xl
| $false
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[12812,144,theory(equality)]) ).
cnf(12814,plain,
( sdtasdt0(xl,xp) = xm
| sz00 = xl
| $false
| $false
| $false ),
inference(rw,[status(thm)],[12813,143,theory(equality)]) ).
cnf(12815,plain,
( sdtasdt0(xl,xp) = xm
| sz00 = xl ),
inference(cn,[status(thm)],[12814,theory(equality)]) ).
cnf(12816,plain,
sdtasdt0(xl,xp) = xm,
inference(sr,[status(thm)],[12815,86,theory(equality)]) ).
cnf(12948,plain,
( $false
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10566,12816,theory(equality)]),143,theory(equality)]) ).
cnf(12949,plain,
~ aNaturalNumber0(sdtasdt0(xl,xr)),
inference(cn,[status(thm)],[12948,theory(equality)]) ).
cnf(13057,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[12949,173,theory(equality)]) ).
cnf(13064,plain,
( ~ aNaturalNumber0(xr)
| $false ),
inference(rw,[status(thm)],[13057,144,theory(equality)]) ).
cnf(13065,plain,
~ aNaturalNumber0(xr),
inference(cn,[status(thm)],[13064,theory(equality)]) ).
cnf(13313,plain,
$false,
inference(spm,[status(thm)],[13065,2032,theory(equality)]) ).
cnf(13315,plain,
$false,
13313,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM475+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 : n089.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 05:07:45 CST 2018
% 0.02/0.24 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.35/0.59 -running prover on /export/starexec/sandbox/tmp/tmpsElfrn/sel_theBenchmark.p_1 with time limit 29
% 0.35/0.59 -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/tmpsElfrn/sel_theBenchmark.p_1']
% 0.35/0.59 -prover status Theorem
% 0.35/0.59 Problem theBenchmark.p solved in phase 0.
% 0.35/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.59 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.59 Solved 1 out of 1.
% 0.35/0.59 # Problem is unsatisfiable (or provable), constructing proof object
% 0.35/0.59 # SZS status Theorem
% 0.35/0.59 # SZS output start CNFRefutation.
% See solution above
% 0.35/0.59 # SZS output end CNFRefutation
%------------------------------------------------------------------------------