TSTP Solution File: NUM473+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM473+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n124.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 0.68s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 22 unt; 0 def)
% Number of atoms : 360 ( 57 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 438 ( 172 ~; 205 |; 50 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 54 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,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/tmplJ7UY9/sel_theBenchmark.p_1',mMulCanc) ).
fof(9,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',mLETotal) ).
fof(10,axiom,
~ equal(xl,sz00),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',m__1347) ).
fof(12,axiom,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(xm,X1),sdtpldt0(xm,xn)) )
& sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',m__1409) ).
fof(16,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/tmplJ7UY9/sel_theBenchmark.p_1',mMonMul) ).
fof(19,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',mLEAsym) ).
fof(20,axiom,
( aNaturalNumber0(xp)
& equal(xm,sdtasdt0(xl,xp))
& equal(xp,sdtsldt0(xm,xl)) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',m__1360) ).
fof(24,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',m__1324) ).
fof(27,axiom,
( aNaturalNumber0(xq)
& equal(sdtpldt0(xm,xn),sdtasdt0(xl,xq))
& equal(xq,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',m__1379) ).
fof(28,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(xp,X1),xq) )
| sdtlseqdt0(xp,xq) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',m__) ).
fof(34,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',mSortsC) ).
fof(35,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',mSortsB) ).
fof(39,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1',m_AddZero) ).
fof(41,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(xp,X1),xq) )
| sdtlseqdt0(xp,xq) ),
inference(assume_negation,[status(cth)],[28]) ).
fof(56,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)],[5]) ).
fof(57,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)],[56]) ).
fof(58,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)],[57]) ).
fof(59,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)],[58]) ).
cnf(61,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(78,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(79,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtlseqdt0(X3,X4)
| ( ~ equal(X4,X3)
& sdtlseqdt0(X4,X3) ) ),
inference(variable_rename,[status(thm)],[78]) ).
fof(80,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)],[79]) ).
cnf(81,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(83,plain,
xl != sz00,
inference(split_conjunct,[status(thm)],[10]) ).
fof(87,plain,
( ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtpldt0(xm,X2),sdtpldt0(xm,xn)) )
& sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(variable_rename,[status(thm)],[12]) ).
fof(88,plain,
( aNaturalNumber0(esk2_0)
& equal(sdtpldt0(xm,esk2_0),sdtpldt0(xm,xn))
& sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(skolemize,[status(esa)],[87]) ).
cnf(89,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(90,plain,
sdtpldt0(xm,esk2_0) = sdtpldt0(xm,xn),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(91,plain,
aNaturalNumber0(esk2_0),
inference(split_conjunct,[status(thm)],[88]) ).
fof(106,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)],[16]) ).
fof(107,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)],[106]) ).
fof(108,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)],[107]) ).
cnf(111,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)],[108]) ).
fof(124,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(125,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[124]) ).
cnf(126,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(128,plain,
xm = sdtasdt0(xl,xp),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(129,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(151,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(152,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(159,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(160,plain,
aNaturalNumber0(xq),
inference(split_conjunct,[status(thm)],[27]) ).
fof(161,negated_conjecture,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| ~ equal(sdtpldt0(xp,X1),xq) )
& ~ sdtlseqdt0(xp,xq) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(162,negated_conjecture,
( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(xp,X2),xq) )
& ~ sdtlseqdt0(xp,xq) ),
inference(variable_rename,[status(thm)],[161]) ).
fof(163,negated_conjecture,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(xp,X2),xq) )
& ~ sdtlseqdt0(xp,xq) ),
inference(shift_quantors,[status(thm)],[162]) ).
cnf(164,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(165,negated_conjecture,
( sdtpldt0(xp,X1) != xq
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(187,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[34]) ).
fof(188,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(189,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[188]) ).
cnf(190,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[189]) ).
fof(202,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(203,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[202]) ).
fof(204,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[203]) ).
cnf(206,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[204]) ).
cnf(212,negated_conjecture,
( xp != xq
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[165,206,theory(equality)]) ).
cnf(214,negated_conjecture,
( xp != xq
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[212,187,theory(equality)]) ).
cnf(215,negated_conjecture,
( xp != xq
| $false
| $false ),
inference(rw,[status(thm)],[214,129,theory(equality)]) ).
cnf(216,negated_conjecture,
xp != xq,
inference(cn,[status(thm)],[215,theory(equality)]) ).
cnf(222,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(esk2_0)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[190,90,theory(equality)]) ).
cnf(223,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[222,91,theory(equality)]) ).
cnf(224,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| $false
| $false ),
inference(rw,[status(thm)],[223,151,theory(equality)]) ).
cnf(225,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(cn,[status(thm)],[224,theory(equality)]) ).
cnf(255,plain,
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[81,129,theory(equality)]) ).
cnf(291,plain,
( sdtpldt0(xm,xn) = xm
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(spm,[status(thm)],[126,89,theory(equality)]) ).
cnf(293,plain,
( sdtpldt0(xm,xn) = xm
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| $false
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(rw,[status(thm)],[291,151,theory(equality)]) ).
cnf(294,plain,
( sdtpldt0(xm,xn) = xm
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[293,theory(equality)]) ).
cnf(723,plain,
( sz00 = xl
| xp = X1
| xm != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[61,128,theory(equality)]) ).
cnf(743,plain,
( sz00 = xl
| xp = X1
| xm != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[723,129,theory(equality)]) ).
cnf(744,plain,
( sz00 = xl
| xp = X1
| xm != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[743,152,theory(equality)]) ).
cnf(745,plain,
( sz00 = xl
| xp = X1
| xm != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[744,theory(equality)]) ).
cnf(746,plain,
( xp = X1
| sdtasdt0(xl,X1) != xm
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[745,83,theory(equality)]) ).
cnf(1071,plain,
( sz00 = xl
| xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[111,128,theory(equality)]) ).
cnf(1098,plain,
( sz00 = xl
| xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[1071,152,theory(equality)]) ).
cnf(1099,plain,
( sz00 = xl
| xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| $false
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[1098,129,theory(equality)]) ).
cnf(1100,plain,
( sz00 = xl
| xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1099,theory(equality)]) ).
cnf(1101,plain,
( xp = X1
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[1100,83,theory(equality)]) ).
cnf(1233,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(xq,xp) ),
inference(spm,[status(thm)],[255,160,theory(equality)]) ).
cnf(1248,plain,
sdtlseqdt0(xq,xp),
inference(sr,[status(thm)],[1233,164,theory(equality)]) ).
cnf(2235,plain,
( sdtpldt0(xm,xn) = xm
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| $false ),
inference(rw,[status(thm)],[294,225,theory(equality)]) ).
cnf(2236,plain,
( sdtpldt0(xm,xn) = xm
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
inference(cn,[status(thm)],[2235,theory(equality)]) ).
cnf(4778,plain,
( xp = xq
| sdtpldt0(xm,xn) != xm
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[746,159,theory(equality)]) ).
cnf(4788,plain,
( xp = xq
| sdtpldt0(xm,xn) != xm
| $false ),
inference(rw,[status(thm)],[4778,160,theory(equality)]) ).
cnf(4789,plain,
( xp = xq
| sdtpldt0(xm,xn) != xm ),
inference(cn,[status(thm)],[4788,theory(equality)]) ).
cnf(4790,plain,
sdtpldt0(xm,xn) != xm,
inference(sr,[status(thm)],[4789,216,theory(equality)]) ).
cnf(45150,plain,
( xp = xq
| sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[1101,159,theory(equality)]) ).
cnf(45189,plain,
( xp = xq
| sdtlseqdt0(sdtpldt0(xm,xn),xm)
| $false
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[45150,1248,theory(equality)]) ).
cnf(45190,plain,
( xp = xq
| sdtlseqdt0(sdtpldt0(xm,xn),xm)
| $false
| $false ),
inference(rw,[status(thm)],[45189,160,theory(equality)]) ).
cnf(45191,plain,
( xp = xq
| sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
inference(cn,[status(thm)],[45190,theory(equality)]) ).
cnf(45192,plain,
sdtlseqdt0(sdtpldt0(xm,xn),xm),
inference(sr,[status(thm)],[45191,216,theory(equality)]) ).
cnf(45581,plain,
( sdtpldt0(xm,xn) = xm
| $false ),
inference(rw,[status(thm)],[2236,45192,theory(equality)]) ).
cnf(45582,plain,
sdtpldt0(xm,xn) = xm,
inference(cn,[status(thm)],[45581,theory(equality)]) ).
cnf(45583,plain,
$false,
inference(sr,[status(thm)],[45582,4790,theory(equality)]) ).
cnf(45584,plain,
$false,
45583,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM473+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n124.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 32218.625MB
% 0.02/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Jan 5 05:01:45 CST 2018
% 0.02/0.22 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 0.68/1.18 -running prover on /export/starexec/sandbox/tmp/tmplJ7UY9/sel_theBenchmark.p_1 with time limit 29
% 0.68/1.18 -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/tmplJ7UY9/sel_theBenchmark.p_1']
% 0.68/1.18 -prover status Theorem
% 0.68/1.18 Problem theBenchmark.p solved in phase 0.
% 0.68/1.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/1.18 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/1.18 Solved 1 out of 1.
% 0.68/1.18 # Problem is unsatisfiable (or provable), constructing proof object
% 0.68/1.18 # SZS status Theorem
% 0.68/1.18 # SZS output start CNFRefutation.
% See solution above
% 0.68/1.18 # SZS output end CNFRefutation
%------------------------------------------------------------------------------