TSTP Solution File: SEU080+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU080+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 04:37:14 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 14 unt; 0 def)
% Number of atoms : 135 ( 22 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 149 ( 54 ~; 58 |; 30 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 2 sgn 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1,X2] : subset(X1,X1),
file('/tmp/tmpN5hRPk/sel_SEU080+1.p_1',reflexivity_r1_tarski) ).
fof(11,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3)) )
=> X1 = X2 ) ),
file('/tmp/tmpN5hRPk/sel_SEU080+1.p_1',t161_funct_1) ).
fof(19,axiom,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))
& subset(X1,relation_rng(X3)) )
=> subset(X1,X2) ) ),
file('/tmp/tmpN5hRPk/sel_SEU080+1.p_1',t158_funct_1) ).
fof(25,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/tmp/tmpN5hRPk/sel_SEU080+1.p_1',d10_xboole_0) ).
fof(34,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3)) )
=> X1 = X2 ) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(63,plain,
! [X3,X4] : subset(X3,X3),
inference(variable_rename,[status(thm)],[7]) ).
cnf(64,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[63]) ).
fof(76,negated_conjecture,
? [X1,X2,X3] :
( relation(X3)
& function(X3)
& relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3))
& X1 != X2 ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(77,negated_conjecture,
? [X4,X5,X6] :
( relation(X6)
& function(X6)
& relation_inverse_image(X6,X4) = relation_inverse_image(X6,X5)
& subset(X4,relation_rng(X6))
& subset(X5,relation_rng(X6))
& X4 != X5 ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,negated_conjecture,
( relation(esk8_0)
& function(esk8_0)
& relation_inverse_image(esk8_0,esk6_0) = relation_inverse_image(esk8_0,esk7_0)
& subset(esk6_0,relation_rng(esk8_0))
& subset(esk7_0,relation_rng(esk8_0))
& esk6_0 != esk7_0 ),
inference(skolemize,[status(esa)],[77]) ).
cnf(79,negated_conjecture,
esk6_0 != esk7_0,
inference(split_conjunct,[status(thm)],[78]) ).
cnf(80,negated_conjecture,
subset(esk7_0,relation_rng(esk8_0)),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(81,negated_conjecture,
subset(esk6_0,relation_rng(esk8_0)),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(82,negated_conjecture,
relation_inverse_image(esk8_0,esk6_0) = relation_inverse_image(esk8_0,esk7_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(83,negated_conjecture,
function(esk8_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(84,negated_conjecture,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[78]) ).
fof(109,plain,
! [X1,X2,X3] :
( ~ relation(X3)
| ~ function(X3)
| ~ subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))
| ~ subset(X1,relation_rng(X3))
| subset(X1,X2) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(110,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ~ subset(relation_inverse_image(X6,X4),relation_inverse_image(X6,X5))
| ~ subset(X4,relation_rng(X6))
| subset(X4,X5) ),
inference(variable_rename,[status(thm)],[109]) ).
cnf(111,plain,
( subset(X1,X2)
| ~ subset(X1,relation_rng(X3))
| ~ subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))
| ~ function(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[110]) ).
fof(130,plain,
! [X1,X2] :
( ( X1 != X2
| ( subset(X1,X2)
& subset(X2,X1) ) )
& ( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(131,plain,
! [X3,X4] :
( ( X3 != X4
| ( subset(X3,X4)
& subset(X4,X3) ) )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(variable_rename,[status(thm)],[130]) ).
fof(132,plain,
! [X3,X4] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[131]) ).
cnf(133,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(201,negated_conjecture,
( subset(esk7_0,X1)
| ~ subset(relation_inverse_image(esk8_0,esk6_0),relation_inverse_image(esk8_0,X1))
| ~ subset(esk7_0,relation_rng(esk8_0))
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[111,82,theory(equality)]) ).
cnf(202,negated_conjecture,
( subset(X1,esk7_0)
| ~ subset(relation_inverse_image(esk8_0,X1),relation_inverse_image(esk8_0,esk6_0))
| ~ subset(X1,relation_rng(esk8_0))
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[111,82,theory(equality)]) ).
cnf(204,negated_conjecture,
( subset(esk7_0,X1)
| ~ subset(relation_inverse_image(esk8_0,esk6_0),relation_inverse_image(esk8_0,X1))
| $false
| ~ function(esk8_0)
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[201,80,theory(equality)]) ).
cnf(205,negated_conjecture,
( subset(esk7_0,X1)
| ~ subset(relation_inverse_image(esk8_0,esk6_0),relation_inverse_image(esk8_0,X1))
| $false
| $false
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[204,83,theory(equality)]) ).
cnf(206,negated_conjecture,
( subset(esk7_0,X1)
| ~ subset(relation_inverse_image(esk8_0,esk6_0),relation_inverse_image(esk8_0,X1))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[205,84,theory(equality)]) ).
cnf(207,negated_conjecture,
( subset(esk7_0,X1)
| ~ subset(relation_inverse_image(esk8_0,esk6_0),relation_inverse_image(esk8_0,X1)) ),
inference(cn,[status(thm)],[206,theory(equality)]) ).
cnf(208,negated_conjecture,
( subset(X1,esk7_0)
| ~ subset(relation_inverse_image(esk8_0,X1),relation_inverse_image(esk8_0,esk6_0))
| ~ subset(X1,relation_rng(esk8_0))
| $false
| ~ relation(esk8_0) ),
inference(rw,[status(thm)],[202,83,theory(equality)]) ).
cnf(209,negated_conjecture,
( subset(X1,esk7_0)
| ~ subset(relation_inverse_image(esk8_0,X1),relation_inverse_image(esk8_0,esk6_0))
| ~ subset(X1,relation_rng(esk8_0))
| $false
| $false ),
inference(rw,[status(thm)],[208,84,theory(equality)]) ).
cnf(210,negated_conjecture,
( subset(X1,esk7_0)
| ~ subset(relation_inverse_image(esk8_0,X1),relation_inverse_image(esk8_0,esk6_0))
| ~ subset(X1,relation_rng(esk8_0)) ),
inference(cn,[status(thm)],[209,theory(equality)]) ).
cnf(319,negated_conjecture,
subset(esk7_0,esk6_0),
inference(spm,[status(thm)],[207,64,theory(equality)]) ).
cnf(324,negated_conjecture,
( esk6_0 = esk7_0
| ~ subset(esk6_0,esk7_0) ),
inference(spm,[status(thm)],[133,319,theory(equality)]) ).
cnf(327,negated_conjecture,
~ subset(esk6_0,esk7_0),
inference(sr,[status(thm)],[324,79,theory(equality)]) ).
cnf(333,negated_conjecture,
( subset(esk6_0,esk7_0)
| ~ subset(esk6_0,relation_rng(esk8_0)) ),
inference(spm,[status(thm)],[210,64,theory(equality)]) ).
cnf(335,negated_conjecture,
( subset(esk6_0,esk7_0)
| $false ),
inference(rw,[status(thm)],[333,81,theory(equality)]) ).
cnf(336,negated_conjecture,
subset(esk6_0,esk7_0),
inference(cn,[status(thm)],[335,theory(equality)]) ).
cnf(337,negated_conjecture,
$false,
inference(sr,[status(thm)],[336,327,theory(equality)]) ).
cnf(338,negated_conjecture,
$false,
337,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU080+1.p
% --creating new selector for []
% -running prover on /tmp/tmpN5hRPk/sel_SEU080+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU080+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU080+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU080+1.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
%
%------------------------------------------------------------------------------