%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PUZ128+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 00:57:04 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 53 ( 23 unt; 0 def)
% Number of atoms : 270 ( 77 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 350 ( 133 ~; 124 |; 93 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 79 ( 0 sgn 20 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
? [X1,X2,X3,X4,X5] :
( parent(X1)
& relation(X1,of,'Oedipus')
& 'Iokaste' = X1
& parent(X2)
& relation(X2,of,'Polyneikes')
& 'Iokaste' = X2
& parent(X3)
& relation(X3,of,'Polyneikes')
& 'Oedipus' = X3
& parent(X4)
& relation(X4,of,'Thersandros')
& 'Polyneikes' = X4
& patricide(X5)
& 'Oedipus' = X5
& ~ ? [X6] :
( patricide(X6)
& 'Thersandros' = X6 ) ),
file('/tmp/tmpmSoFfI/sel_PUZ128+2.p_1',background) ).
fof(2,conjecture,
? [X1,X2,X3,X4] :
( parent(X1)
& patricide(X2)
& parent(X3)
& $true
& ~ ? [X5] :
( patricide(X5)
& X4 = X5 )
& relation(X3,of,X4)
& X2 = X3
& relation(X1,of,X2)
& 'Iokaste' = X1 ),
file('/tmp/tmpmSoFfI/sel_PUZ128+2.p_1',prove) ).
fof(3,negated_conjecture,
~ ? [X1,X2,X3,X4] :
( parent(X1)
& patricide(X2)
& parent(X3)
& $true
& ~ ? [X5] :
( patricide(X5)
& X4 = X5 )
& relation(X3,of,X4)
& X2 = X3
& relation(X1,of,X2)
& 'Iokaste' = X1 ),
inference(assume_negation,[status(cth)],[2]) ).
fof(4,plain,
? [X1,X2,X3,X4,X5] :
( parent(X1)
& relation(X1,of,'Oedipus')
& 'Iokaste' = X1
& parent(X2)
& relation(X2,of,'Polyneikes')
& 'Iokaste' = X2
& parent(X3)
& relation(X3,of,'Polyneikes')
& 'Oedipus' = X3
& parent(X4)
& relation(X4,of,'Thersandros')
& 'Polyneikes' = X4
& patricide(X5)
& 'Oedipus' = X5
& ! [X6] :
( ~ patricide(X6)
| 'Thersandros' != X6 ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(5,plain,
? [X7,X8,X9,X10,X11] :
( parent(X7)
& relation(X7,of,'Oedipus')
& 'Iokaste' = X7
& parent(X8)
& relation(X8,of,'Polyneikes')
& 'Iokaste' = X8
& parent(X9)
& relation(X9,of,'Polyneikes')
& 'Oedipus' = X9
& parent(X10)
& relation(X10,of,'Thersandros')
& 'Polyneikes' = X10
& patricide(X11)
& 'Oedipus' = X11
& ! [X12] :
( ~ patricide(X12)
| 'Thersandros' != X12 ) ),
inference(variable_rename,[status(thm)],[4]) ).
fof(6,plain,
( parent(esk1_0)
& relation(esk1_0,of,'Oedipus')
& 'Iokaste' = esk1_0
& parent(esk2_0)
& relation(esk2_0,of,'Polyneikes')
& 'Iokaste' = esk2_0
& parent(esk3_0)
& relation(esk3_0,of,'Polyneikes')
& 'Oedipus' = esk3_0
& parent(esk4_0)
& relation(esk4_0,of,'Thersandros')
& 'Polyneikes' = esk4_0
& patricide(esk5_0)
& 'Oedipus' = esk5_0
& ! [X12] :
( ~ patricide(X12)
| 'Thersandros' != X12 ) ),
inference(skolemize,[status(esa)],[5]) ).
fof(7,plain,
! [X12] :
( ( ~ patricide(X12)
| 'Thersandros' != X12 )
& parent(esk1_0)
& relation(esk1_0,of,'Oedipus')
& 'Iokaste' = esk1_0
& parent(esk2_0)
& relation(esk2_0,of,'Polyneikes')
& 'Iokaste' = esk2_0
& parent(esk3_0)
& relation(esk3_0,of,'Polyneikes')
& 'Oedipus' = esk3_0
& parent(esk4_0)
& relation(esk4_0,of,'Thersandros')
& 'Polyneikes' = esk4_0
& patricide(esk5_0)
& 'Oedipus' = esk5_0 ),
inference(shift_quantors,[status(thm)],[6]) ).
cnf(8,plain,
'Oedipus' = esk5_0,
inference(split_conjunct,[status(thm)],[7]) ).
cnf(9,plain,
patricide(esk5_0),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(10,plain,
'Polyneikes' = esk4_0,
inference(split_conjunct,[status(thm)],[7]) ).
cnf(11,plain,
relation(esk4_0,of,'Thersandros'),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(12,plain,
parent(esk4_0),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(13,plain,
'Oedipus' = esk3_0,
inference(split_conjunct,[status(thm)],[7]) ).
cnf(14,plain,
relation(esk3_0,of,'Polyneikes'),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(15,plain,
parent(esk3_0),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(16,plain,
'Iokaste' = esk2_0,
inference(split_conjunct,[status(thm)],[7]) ).
cnf(17,plain,
relation(esk2_0,of,'Polyneikes'),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(19,plain,
'Iokaste' = esk1_0,
inference(split_conjunct,[status(thm)],[7]) ).
cnf(20,plain,
relation(esk1_0,of,'Oedipus'),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(21,plain,
parent(esk1_0),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(22,plain,
( 'Thersandros' != X1
| ~ patricide(X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
fof(23,negated_conjecture,
! [X1,X2,X3,X4] :
( ~ parent(X1)
| ~ patricide(X2)
| ~ parent(X3)
| ~ $true
| ? [X5] :
( patricide(X5)
& X4 = X5 )
| ~ relation(X3,of,X4)
| X2 != X3
| ~ relation(X1,of,X2)
| 'Iokaste' != X1 ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(24,negated_conjecture,
! [X6,X7,X8,X9] :
( ~ parent(X6)
| ~ patricide(X7)
| ~ parent(X8)
| ~ $true
| ? [X10] :
( patricide(X10)
& X9 = X10 )
| ~ relation(X8,of,X9)
| X7 != X8
| ~ relation(X6,of,X7)
| 'Iokaste' != X6 ),
inference(variable_rename,[status(thm)],[23]) ).
fof(25,negated_conjecture,
! [X6,X7,X8,X9] :
( ~ parent(X6)
| ~ patricide(X7)
| ~ parent(X8)
| ~ $true
| ( patricide(esk6_4(X6,X7,X8,X9))
& X9 = esk6_4(X6,X7,X8,X9) )
| ~ relation(X8,of,X9)
| X7 != X8
| ~ relation(X6,of,X7)
| 'Iokaste' != X6 ),
inference(skolemize,[status(esa)],[24]) ).
fof(26,negated_conjecture,
! [X6,X7,X8,X9] :
( ( patricide(esk6_4(X6,X7,X8,X9))
| ~ parent(X6)
| ~ patricide(X7)
| ~ parent(X8)
| ~ $true
| ~ relation(X8,of,X9)
| X7 != X8
| ~ relation(X6,of,X7)
| 'Iokaste' != X6 )
& ( X9 = esk6_4(X6,X7,X8,X9)
| ~ parent(X6)
| ~ patricide(X7)
| ~ parent(X8)
| ~ $true
| ~ relation(X8,of,X9)
| X7 != X8
| ~ relation(X6,of,X7)
| 'Iokaste' != X6 ) ),
inference(distribute,[status(thm)],[25]) ).
cnf(27,negated_conjecture,
( X4 = esk6_4(X1,X2,X3,X4)
| 'Iokaste' != X1
| ~ relation(X1,of,X2)
| X2 != X3
| ~ relation(X3,of,X4)
| $false
| ~ parent(X3)
| ~ patricide(X2)
| ~ parent(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,negated_conjecture,
( patricide(esk6_4(X1,X2,X3,X4))
| 'Iokaste' != X1
| ~ relation(X1,of,X2)
| X2 != X3
| ~ relation(X3,of,X4)
| $false
| ~ parent(X3)
| ~ patricide(X2)
| ~ parent(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(29,plain,
parent('Iokaste'),
inference(rw,[status(thm)],[21,19,theory(equality)]) ).
cnf(31,plain,
esk5_0 = esk3_0,
inference(rw,[status(thm)],[8,13,theory(equality)]) ).
cnf(32,plain,
patricide(esk3_0),
inference(rw,[status(thm)],[9,31,theory(equality)]) ).
cnf(33,plain,
relation('Iokaste',of,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20,19,theory(equality)]),13,theory(equality)]) ).
cnf(34,plain,
relation('Iokaste',of,esk4_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17,16,theory(equality)]),10,theory(equality)]) ).
cnf(35,plain,
relation(esk3_0,of,esk4_0),
inference(rw,[status(thm)],[14,10,theory(equality)]) ).
cnf(36,negated_conjecture,
( patricide(esk6_4(X1,X2,X2,X3))
| 'Iokaste' != X1
| ~ patricide(X2)
| ~ relation(X2,of,X3)
| ~ relation(X1,of,X2)
| ~ parent(X2)
| ~ parent(X1) ),
inference(er,[status(thm)],[28,theory(equality)]) ).
cnf(37,negated_conjecture,
( esk6_4(X1,X2,X2,X3) = X3
| 'Iokaste' != X1
| ~ patricide(X2)
| ~ relation(X2,of,X3)
| ~ relation(X1,of,X2)
| ~ parent(X2)
| ~ parent(X1) ),
inference(er,[status(thm)],[27,theory(equality)]) ).
cnf(40,negated_conjecture,
( 'Thersandros' != esk6_4(X1,X2,X2,X3)
| 'Iokaste' != X1
| ~ patricide(X2)
| ~ relation(X2,of,X3)
| ~ relation(X1,of,X2)
| ~ parent(X2)
| ~ parent(X1) ),
inference(spm,[status(thm)],[22,36,theory(equality)]) ).
cnf(41,negated_conjecture,
( patricide(X3)
| 'Iokaste' != X1
| ~ patricide(X2)
| ~ relation(X2,of,X3)
| ~ relation(X1,of,X2)
| ~ parent(X2)
| ~ parent(X1) ),
inference(spm,[status(thm)],[36,37,theory(equality)]) ).
cnf(44,negated_conjecture,
( patricide(esk4_0)
| 'Iokaste' != X1
| ~ patricide(esk3_0)
| ~ relation(X1,of,esk3_0)
| ~ parent(esk3_0)
| ~ parent(X1) ),
inference(spm,[status(thm)],[41,35,theory(equality)]) ).
cnf(51,negated_conjecture,
( patricide(esk4_0)
| 'Iokaste' != X1
| $false
| ~ relation(X1,of,esk3_0)
| ~ parent(esk3_0)
| ~ parent(X1) ),
inference(rw,[status(thm)],[44,32,theory(equality)]) ).
cnf(52,negated_conjecture,
( patricide(esk4_0)
| 'Iokaste' != X1
| $false
| ~ relation(X1,of,esk3_0)
| $false
| ~ parent(X1) ),
inference(rw,[status(thm)],[51,15,theory(equality)]) ).
cnf(53,negated_conjecture,
( patricide(esk4_0)
| 'Iokaste' != X1
| ~ relation(X1,of,esk3_0)
| ~ parent(X1) ),
inference(cn,[status(thm)],[52,theory(equality)]) ).
cnf(56,negated_conjecture,
( patricide(esk4_0)
| ~ parent('Iokaste') ),
inference(spm,[status(thm)],[53,33,theory(equality)]) ).
cnf(57,negated_conjecture,
( patricide(esk4_0)
| $false ),
inference(rw,[status(thm)],[56,29,theory(equality)]) ).
cnf(58,negated_conjecture,
patricide(esk4_0),
inference(cn,[status(thm)],[57,theory(equality)]) ).
cnf(59,negated_conjecture,
( X3 != 'Thersandros'
| 'Iokaste' != X1
| ~ patricide(X2)
| ~ relation(X2,of,X3)
| ~ relation(X1,of,X2)
| ~ parent(X2)
| ~ parent(X1) ),
inference(spm,[status(thm)],[40,37,theory(equality)]) ).
cnf(63,negated_conjecture,
( 'Iokaste' != X1
| ~ patricide(esk4_0)
| ~ relation(X1,of,esk4_0)
| ~ parent(esk4_0)
| ~ parent(X1) ),
inference(spm,[status(thm)],[59,11,theory(equality)]) ).
cnf(71,negated_conjecture,
( 'Iokaste' != X1
| ~ patricide(esk4_0)
| ~ relation(X1,of,esk4_0)
| $false
| ~ parent(X1) ),
inference(rw,[status(thm)],[63,12,theory(equality)]) ).
cnf(72,negated_conjecture,
( 'Iokaste' != X1
| ~ patricide(esk4_0)
| ~ relation(X1,of,esk4_0)
| ~ parent(X1) ),
inference(cn,[status(thm)],[71,theory(equality)]) ).
cnf(73,negated_conjecture,
( ~ patricide(esk4_0)
| ~ parent('Iokaste') ),
inference(spm,[status(thm)],[72,34,theory(equality)]) ).
cnf(75,negated_conjecture,
( ~ patricide(esk4_0)
| $false ),
inference(rw,[status(thm)],[73,29,theory(equality)]) ).
cnf(76,negated_conjecture,
~ patricide(esk4_0),
inference(cn,[status(thm)],[75,theory(equality)]) ).
cnf(79,negated_conjecture,
$false,
inference(sr,[status(thm)],[58,76,theory(equality)]) ).
cnf(80,negated_conjecture,
$false,
79,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ128+2.p
% --creating new selector for []
% -running prover on /tmp/tmpmSoFfI/sel_PUZ128+2.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ128+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ128+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ128+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------