TSTP Solution File: SEU085+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU085+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 04:33:17 EST 2010
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(10,axiom,
! [X1,X2] :
( finite(X1)
=> finite(set_difference(X1,X2)) ),
file('/tmp/tmpA742pf/sel_SEU085+1.p_1',fc12_finset_1) ).
fof(60,conjecture,
! [X1,X2] :
( finite(X1)
=> finite(set_difference(X1,X2)) ),
file('/tmp/tmpA742pf/sel_SEU085+1.p_1',t16_finset_1) ).
fof(61,negated_conjecture,
~ ! [X1,X2] :
( finite(X1)
=> finite(set_difference(X1,X2)) ),
inference(assume_negation,[status(cth)],[60]) ).
fof(108,plain,
! [X1,X2] :
( ~ finite(X1)
| finite(set_difference(X1,X2)) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(109,plain,
! [X3,X4] :
( ~ finite(X3)
| finite(set_difference(X3,X4)) ),
inference(variable_rename,[status(thm)],[108]) ).
cnf(110,plain,
( finite(set_difference(X1,X2))
| ~ finite(X1) ),
inference(split_conjunct,[status(thm)],[109]) ).
fof(331,negated_conjecture,
? [X1,X2] :
( finite(X1)
& ~ finite(set_difference(X1,X2)) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(332,negated_conjecture,
? [X3,X4] :
( finite(X3)
& ~ finite(set_difference(X3,X4)) ),
inference(variable_rename,[status(thm)],[331]) ).
fof(333,negated_conjecture,
( finite(esk27_0)
& ~ finite(set_difference(esk27_0,esk28_0)) ),
inference(skolemize,[status(esa)],[332]) ).
cnf(334,negated_conjecture,
~ finite(set_difference(esk27_0,esk28_0)),
inference(split_conjunct,[status(thm)],[333]) ).
cnf(335,negated_conjecture,
finite(esk27_0),
inference(split_conjunct,[status(thm)],[333]) ).
cnf(344,negated_conjecture,
~ finite(esk27_0),
inference(spm,[status(thm)],[334,110,theory(equality)]) ).
cnf(345,negated_conjecture,
$false,
inference(rw,[status(thm)],[344,335,theory(equality)]) ).
cnf(346,negated_conjecture,
$false,
inference(cn,[status(thm)],[345,theory(equality)]) ).
cnf(347,negated_conjecture,
$false,
346,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU085+1.p
% --creating new selector for []
% -running prover on /tmp/tmpA742pf/sel_SEU085+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU085+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU085+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU085+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
%
%------------------------------------------------------------------------------