TSTP Solution File: NUM476+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM476+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n121.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 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 12
% Syntax : Number of formulae : 139 ( 21 unt; 0 def)
% Number of atoms : 580 ( 83 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 717 ( 276 ~; 340 |; 83 &)
% ( 3 <=>; 15 =>; 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 : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 76 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',m_MulZero) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',mDivTrans) ).
fof(7,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',mDefDiv) ).
fof(18,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/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',mDefQuot) ).
fof(19,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',m__1324_04) ).
fof(21,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',m__1324) ).
fof(24,conjecture,
( ( ~ equal(xl,sz00)
=> ? [X1] :
( equal(X1,sdtsldt0(xm,xl))
& ? [X2] :
( equal(X2,sdtsldt0(sdtpldt0(xm,xn),xl))
& sdtlseqdt0(X1,X2)
& ? [X3] :
( equal(X3,sdtmndt0(X2,X1))
& equal(sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3)),sdtpldt0(sdtasdt0(xl,X1),xn))
& equal(xn,sdtasdt0(xl,X3)) ) ) ) )
=> doDivides0(xl,xn) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',m__) ).
fof(28,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/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',mDefDiff) ).
fof(29,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',mSortsB_02) ).
fof(30,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',mSortsC) ).
fof(31,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',mSortsB) ).
fof(35,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1',m_AddZero) ).
fof(37,negated_conjecture,
~ ( ( ~ equal(xl,sz00)
=> ? [X1] :
( equal(X1,sdtsldt0(xm,xl))
& ? [X2] :
( equal(X2,sdtsldt0(sdtpldt0(xm,xn),xl))
& sdtlseqdt0(X1,X2)
& ? [X3] :
( equal(X3,sdtmndt0(X2,X1))
& equal(sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3)),sdtpldt0(sdtasdt0(xl,X1),xn))
& equal(xn,sdtasdt0(xl,X3)) ) ) ) )
=> doDivides0(xl,xn) ),
inference(assume_negation,[status(cth)],[24]) ).
fof(38,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(39,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[38]) ).
fof(40,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aNaturalNumber0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[39]) ).
cnf(41,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(42,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(43,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3)
| doDivides0(X1,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(44,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X5,X6)
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[43]) ).
cnf(45,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(63,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(64,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)],[63]) ).
fof(65,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)],[64]) ).
fof(66,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)],[65]) ).
fof(67,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)],[66]) ).
cnf(68,plain,
( X1 = sdtasdt0(X2,esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(69,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(70,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(117,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)],[18]) ).
fof(118,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)],[117]) ).
fof(119,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)],[118]) ).
fof(120,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)],[119]) ).
cnf(122,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[120]) ).
cnf(123,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[120]) ).
cnf(124,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(125,plain,
doDivides0(xl,xm),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(131,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(132,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(133,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[21]) ).
fof(139,negated_conjecture,
( ( equal(xl,sz00)
| ? [X1] :
( equal(X1,sdtsldt0(xm,xl))
& ? [X2] :
( equal(X2,sdtsldt0(sdtpldt0(xm,xn),xl))
& sdtlseqdt0(X1,X2)
& ? [X3] :
( equal(X3,sdtmndt0(X2,X1))
& equal(sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3)),sdtpldt0(sdtasdt0(xl,X1),xn))
& equal(xn,sdtasdt0(xl,X3)) ) ) ) )
& ~ doDivides0(xl,xn) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(140,negated_conjecture,
( ( equal(xl,sz00)
| ? [X4] :
( equal(X4,sdtsldt0(xm,xl))
& ? [X5] :
( equal(X5,sdtsldt0(sdtpldt0(xm,xn),xl))
& sdtlseqdt0(X4,X5)
& ? [X6] :
( equal(X6,sdtmndt0(X5,X4))
& equal(sdtpldt0(sdtasdt0(xl,X4),sdtasdt0(xl,X6)),sdtpldt0(sdtasdt0(xl,X4),xn))
& equal(xn,sdtasdt0(xl,X6)) ) ) ) )
& ~ doDivides0(xl,xn) ),
inference(variable_rename,[status(thm)],[139]) ).
fof(141,negated_conjecture,
( ( equal(xl,sz00)
| ( equal(esk3_0,sdtsldt0(xm,xl))
& equal(esk4_0,sdtsldt0(sdtpldt0(xm,xn),xl))
& sdtlseqdt0(esk3_0,esk4_0)
& equal(esk5_0,sdtmndt0(esk4_0,esk3_0))
& equal(sdtpldt0(sdtasdt0(xl,esk3_0),sdtasdt0(xl,esk5_0)),sdtpldt0(sdtasdt0(xl,esk3_0),xn))
& equal(xn,sdtasdt0(xl,esk5_0)) ) )
& ~ doDivides0(xl,xn) ),
inference(skolemize,[status(esa)],[140]) ).
fof(142,negated_conjecture,
( ( equal(esk3_0,sdtsldt0(xm,xl))
| equal(xl,sz00) )
& ( equal(esk4_0,sdtsldt0(sdtpldt0(xm,xn),xl))
| equal(xl,sz00) )
& ( sdtlseqdt0(esk3_0,esk4_0)
| equal(xl,sz00) )
& ( equal(esk5_0,sdtmndt0(esk4_0,esk3_0))
| equal(xl,sz00) )
& ( equal(sdtpldt0(sdtasdt0(xl,esk3_0),sdtasdt0(xl,esk5_0)),sdtpldt0(sdtasdt0(xl,esk3_0),xn))
| equal(xl,sz00) )
& ( equal(xn,sdtasdt0(xl,esk5_0))
| equal(xl,sz00) )
& ~ doDivides0(xl,xn) ),
inference(distribute,[status(thm)],[141]) ).
cnf(143,negated_conjecture,
~ doDivides0(xl,xn),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(144,negated_conjecture,
( xl = sz00
| xn = sdtasdt0(xl,esk5_0) ),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(145,negated_conjecture,
( xl = sz00
| sdtpldt0(sdtasdt0(xl,esk3_0),sdtasdt0(xl,esk5_0)) = sdtpldt0(sdtasdt0(xl,esk3_0),xn) ),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(146,negated_conjecture,
( xl = sz00
| esk5_0 = sdtmndt0(esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(147,negated_conjecture,
( xl = sz00
| sdtlseqdt0(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(148,negated_conjecture,
( xl = sz00
| esk4_0 = sdtsldt0(sdtpldt0(xm,xn),xl) ),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(149,negated_conjecture,
( xl = sz00
| esk3_0 = sdtsldt0(xm,xl) ),
inference(split_conjunct,[status(thm)],[142]) ).
fof(161,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)],[28]) ).
fof(162,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)],[161]) ).
fof(163,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)],[162]) ).
fof(164,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)],[163]) ).
cnf(167,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[164]) ).
fof(168,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(169,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[168]) ).
cnf(170,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(171,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[30]) ).
fof(172,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(173,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[172]) ).
cnf(174,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[173]) ).
fof(186,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(187,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[186]) ).
fof(188,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[187]) ).
cnf(189,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[188]) ).
cnf(227,negated_conjecture,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,esk3_0),xn))
| xl = sz00
| ~ aNaturalNumber0(sdtasdt0(xl,esk5_0))
| ~ aNaturalNumber0(sdtasdt0(xl,esk3_0)) ),
inference(spm,[status(thm)],[174,145,theory(equality)]) ).
cnf(330,plain,
( X1 = sz00
| ~ aNaturalNumber0(esk1_2(sz00,X1))
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[41,68,theory(equality)]) ).
cnf(335,plain,
( X1 = sz00
| ~ aNaturalNumber0(esk1_2(sz00,X1))
| ~ doDivides0(sz00,X1)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[330,171,theory(equality)]) ).
cnf(336,plain,
( X1 = sz00
| ~ aNaturalNumber0(esk1_2(sz00,X1))
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[335,theory(equality)]) ).
cnf(345,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(er,[status(thm)],[70,theory(equality)]) ).
cnf(347,plain,
( doDivides0(X1,X2)
| sz00 != X2
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[70,42,theory(equality)]) ).
cnf(356,plain,
( doDivides0(X1,X2)
| sz00 != X2
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[347,171,theory(equality)]) ).
cnf(357,plain,
( doDivides0(X1,X2)
| sz00 != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[356,theory(equality)]) ).
cnf(381,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[167,theory(equality)]) ).
cnf(385,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[45,125,theory(equality)]) ).
cnf(387,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xl)
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[385,133,theory(equality)]) ).
cnf(388,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xl)
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[387,132,theory(equality)]) ).
cnf(389,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[388,theory(equality)]) ).
cnf(392,plain,
( sz00 = X1
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[123,theory(equality)]) ).
cnf(2480,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[336,69,theory(equality)]) ).
cnf(2482,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[2480,171,theory(equality)]) ).
cnf(2483,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2482,theory(equality)]) ).
cnf(2514,plain,
( xm = sz00
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xl)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[2483,389,theory(equality)]) ).
cnf(2519,plain,
( xm = sz00
| $false
| ~ doDivides0(sz00,xl)
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[2514,132,theory(equality)]) ).
cnf(2520,plain,
( xm = sz00
| $false
| ~ doDivides0(sz00,xl)
| $false ),
inference(rw,[status(thm)],[2519,171,theory(equality)]) ).
cnf(2521,plain,
( xm = sz00
| ~ doDivides0(sz00,xl) ),
inference(cn,[status(thm)],[2520,theory(equality)]) ).
cnf(2526,plain,
( xm = sz00
| sz00 != xl
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[2521,357,theory(equality)]) ).
cnf(2528,plain,
( xm = sz00
| sz00 != xl
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[2526,171,theory(equality)]) ).
cnf(2529,plain,
( xm = sz00
| sz00 != xl
| $false
| $false ),
inference(rw,[status(thm)],[2528,133,theory(equality)]) ).
cnf(2530,plain,
( xm = sz00
| sz00 != xl ),
inference(cn,[status(thm)],[2529,theory(equality)]) ).
cnf(2534,plain,
( doDivides0(xl,sdtpldt0(sz00,xn))
| xl != sz00 ),
inference(spm,[status(thm)],[124,2530,theory(equality)]) ).
cnf(2587,plain,
( doDivides0(xl,xn)
| xl != sz00
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[2534,189,theory(equality)]) ).
cnf(2590,plain,
( doDivides0(xl,xn)
| xl != sz00
| $false ),
inference(rw,[status(thm)],[2587,131,theory(equality)]) ).
cnf(2591,plain,
( doDivides0(xl,xn)
| xl != sz00 ),
inference(cn,[status(thm)],[2590,theory(equality)]) ).
cnf(2592,plain,
xl != sz00,
inference(sr,[status(thm)],[2591,143,theory(equality)]) ).
cnf(2615,negated_conjecture,
sdtlseqdt0(esk3_0,esk4_0),
inference(sr,[status(thm)],[147,2592,theory(equality)]) ).
cnf(2616,negated_conjecture,
sdtasdt0(xl,esk5_0) = xn,
inference(sr,[status(thm)],[144,2592,theory(equality)]) ).
cnf(2617,negated_conjecture,
sdtsldt0(xm,xl) = esk3_0,
inference(sr,[status(thm)],[149,2592,theory(equality)]) ).
cnf(2618,negated_conjecture,
sdtmndt0(esk4_0,esk3_0) = esk5_0,
inference(sr,[status(thm)],[146,2592,theory(equality)]) ).
cnf(2619,negated_conjecture,
sdtsldt0(sdtpldt0(xm,xn),xl) = esk4_0,
inference(sr,[status(thm)],[148,2592,theory(equality)]) ).
cnf(2676,negated_conjecture,
( xl = sz00
| aNaturalNumber0(sdtpldt0(sdtasdt0(xl,esk3_0),xn))
| $false
| ~ aNaturalNumber0(sdtasdt0(xl,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[227,2616,theory(equality)]),131,theory(equality)]) ).
cnf(2677,negated_conjecture,
( xl = sz00
| aNaturalNumber0(sdtpldt0(sdtasdt0(xl,esk3_0),xn))
| ~ aNaturalNumber0(sdtasdt0(xl,esk3_0)) ),
inference(cn,[status(thm)],[2676,theory(equality)]) ).
cnf(2678,negated_conjecture,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,esk3_0),xn))
| ~ aNaturalNumber0(sdtasdt0(xl,esk3_0)) ),
inference(sr,[status(thm)],[2677,2592,theory(equality)]) ).
cnf(2751,negated_conjecture,
( sdtasdt0(xl,X1) = xm
| sz00 = xl
| esk3_0 != X1
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[122,2617,theory(equality)]) ).
cnf(2758,negated_conjecture,
( sdtasdt0(xl,X1) = xm
| sz00 = xl
| esk3_0 != X1
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[2751,125,theory(equality)]) ).
cnf(2759,negated_conjecture,
( sdtasdt0(xl,X1) = xm
| sz00 = xl
| esk3_0 != X1
| $false
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[2758,133,theory(equality)]) ).
cnf(2760,negated_conjecture,
( sdtasdt0(xl,X1) = xm
| sz00 = xl
| esk3_0 != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2759,132,theory(equality)]) ).
cnf(2761,negated_conjecture,
( sdtasdt0(xl,X1) = xm
| sz00 = xl
| esk3_0 != X1 ),
inference(cn,[status(thm)],[2760,theory(equality)]) ).
cnf(2762,negated_conjecture,
( sdtasdt0(xl,X1) = xm
| esk3_0 != X1 ),
inference(sr,[status(thm)],[2761,2592,theory(equality)]) ).
cnf(2970,negated_conjecture,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[2678,2762,theory(equality)]) ).
cnf(2976,negated_conjecture,
( aNaturalNumber0(sdtpldt0(xm,xn))
| $false ),
inference(rw,[status(thm)],[2970,132,theory(equality)]) ).
cnf(2977,negated_conjecture,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(cn,[status(thm)],[2976,theory(equality)]) ).
cnf(3424,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[345,170]) ).
cnf(3425,negated_conjecture,
( doDivides0(xl,xn)
| ~ aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[3424,2616,theory(equality)]) ).
cnf(3438,negated_conjecture,
( doDivides0(xl,xn)
| ~ aNaturalNumber0(esk5_0)
| $false ),
inference(rw,[status(thm)],[3425,133,theory(equality)]) ).
cnf(3439,negated_conjecture,
( doDivides0(xl,xn)
| ~ aNaturalNumber0(esk5_0) ),
inference(cn,[status(thm)],[3438,theory(equality)]) ).
cnf(3440,negated_conjecture,
~ aNaturalNumber0(esk5_0),
inference(sr,[status(thm)],[3439,143,theory(equality)]) ).
cnf(3689,negated_conjecture,
( aNaturalNumber0(esk5_0)
| ~ sdtlseqdt0(esk3_0,esk4_0)
| ~ aNaturalNumber0(esk3_0)
| ~ aNaturalNumber0(esk4_0) ),
inference(spm,[status(thm)],[381,2618,theory(equality)]) ).
cnf(3700,negated_conjecture,
( aNaturalNumber0(esk5_0)
| $false
| ~ aNaturalNumber0(esk3_0)
| ~ aNaturalNumber0(esk4_0) ),
inference(rw,[status(thm)],[3689,2615,theory(equality)]) ).
cnf(3701,negated_conjecture,
( aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(esk3_0)
| ~ aNaturalNumber0(esk4_0) ),
inference(cn,[status(thm)],[3700,theory(equality)]) ).
cnf(3702,negated_conjecture,
( ~ aNaturalNumber0(esk3_0)
| ~ aNaturalNumber0(esk4_0) ),
inference(sr,[status(thm)],[3701,3440,theory(equality)]) ).
cnf(3822,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk3_0)
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[392,2617,theory(equality)]) ).
cnf(3823,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk4_0)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(spm,[status(thm)],[392,2619,theory(equality)]) ).
cnf(3835,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk3_0)
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[3822,125,theory(equality)]) ).
cnf(3836,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk3_0)
| $false
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[3835,133,theory(equality)]) ).
cnf(3837,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk3_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3836,132,theory(equality)]) ).
cnf(3838,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk3_0) ),
inference(cn,[status(thm)],[3837,theory(equality)]) ).
cnf(3839,negated_conjecture,
aNaturalNumber0(esk3_0),
inference(sr,[status(thm)],[3838,2592,theory(equality)]) ).
cnf(3840,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk4_0)
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(rw,[status(thm)],[3823,124,theory(equality)]) ).
cnf(3841,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk4_0)
| $false
| $false
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(rw,[status(thm)],[3840,133,theory(equality)]) ).
cnf(3842,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk4_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3841,2977,theory(equality)]) ).
cnf(3843,negated_conjecture,
( sz00 = xl
| aNaturalNumber0(esk4_0) ),
inference(cn,[status(thm)],[3842,theory(equality)]) ).
cnf(3844,negated_conjecture,
aNaturalNumber0(esk4_0),
inference(sr,[status(thm)],[3843,2592,theory(equality)]) ).
cnf(3865,negated_conjecture,
( $false
| ~ aNaturalNumber0(esk4_0) ),
inference(rw,[status(thm)],[3702,3839,theory(equality)]) ).
cnf(3866,negated_conjecture,
~ aNaturalNumber0(esk4_0),
inference(cn,[status(thm)],[3865,theory(equality)]) ).
cnf(3929,negated_conjecture,
$false,
inference(sr,[status(thm)],[3844,3866,theory(equality)]) ).
cnf(3930,negated_conjecture,
$false,
3929,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM476+1 : TPTP v7.0.0. Released v4.0.0.
% 0.03/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n121.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 05:06:15 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.23/0.74 -running prover on /export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1 with time limit 29
% 0.23/0.74 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpBA3BLw/sel_theBenchmark.p_1']
% 0.23/0.74 -prover status Theorem
% 0.23/0.74 Problem theBenchmark.p solved in phase 0.
% 0.23/0.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.74 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.74 Solved 1 out of 1.
% 0.23/0.74 # Problem is unsatisfiable (or provable), constructing proof object
% 0.23/0.74 # SZS status Theorem
% 0.23/0.74 # SZS output start CNFRefutation.
% See solution above
% 0.23/0.75 # SZS output end CNFRefutation
%------------------------------------------------------------------------------