TSTP Solution File: SEU040+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU040+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 04:13:47 EST 2010
% Result : Theorem 0.20s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 12 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(21,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_dom_restriction(X2,X1)),relation_dom(X2)) ),
file('/tmp/tmpei2dYt/sel_SEU040+1.p_1',t89_relat_1) ).
fof(36,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(relation_dom(relation_dom_restriction(X2,X1)),relation_dom(X2))
& subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ) ),
file('/tmp/tmpei2dYt/sel_SEU040+1.p_1',t76_funct_1) ).
fof(38,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
file('/tmp/tmpei2dYt/sel_SEU040+1.p_1',t99_relat_1) ).
fof(39,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(relation_dom(relation_dom_restriction(X2,X1)),relation_dom(X2))
& subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ) ),
inference(assume_negation,[status(cth)],[36]) ).
fof(116,plain,
! [X1,X2] :
( ~ relation(X2)
| subset(relation_dom(relation_dom_restriction(X2,X1)),relation_dom(X2)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(117,plain,
! [X3,X4] :
( ~ relation(X4)
| subset(relation_dom(relation_dom_restriction(X4,X3)),relation_dom(X4)) ),
inference(variable_rename,[status(thm)],[116]) ).
cnf(118,plain,
( subset(relation_dom(relation_dom_restriction(X1,X2)),relation_dom(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[117]) ).
fof(169,negated_conjecture,
? [X1,X2] :
( relation(X2)
& function(X2)
& ( ~ subset(relation_dom(relation_dom_restriction(X2,X1)),relation_dom(X2))
| ~ subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(170,negated_conjecture,
? [X3,X4] :
( relation(X4)
& function(X4)
& ( ~ subset(relation_dom(relation_dom_restriction(X4,X3)),relation_dom(X4))
| ~ subset(relation_rng(relation_dom_restriction(X4,X3)),relation_rng(X4)) ) ),
inference(variable_rename,[status(thm)],[169]) ).
fof(171,negated_conjecture,
( relation(esk12_0)
& function(esk12_0)
& ( ~ subset(relation_dom(relation_dom_restriction(esk12_0,esk11_0)),relation_dom(esk12_0))
| ~ subset(relation_rng(relation_dom_restriction(esk12_0,esk11_0)),relation_rng(esk12_0)) ) ),
inference(skolemize,[status(esa)],[170]) ).
cnf(172,negated_conjecture,
( ~ subset(relation_rng(relation_dom_restriction(esk12_0,esk11_0)),relation_rng(esk12_0))
| ~ subset(relation_dom(relation_dom_restriction(esk12_0,esk11_0)),relation_dom(esk12_0)) ),
inference(split_conjunct,[status(thm)],[171]) ).
cnf(174,negated_conjecture,
relation(esk12_0),
inference(split_conjunct,[status(thm)],[171]) ).
fof(180,plain,
! [X1,X2] :
( ~ relation(X2)
| subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(181,plain,
! [X3,X4] :
( ~ relation(X4)
| subset(relation_rng(relation_dom_restriction(X4,X3)),relation_rng(X4)) ),
inference(variable_rename,[status(thm)],[180]) ).
cnf(182,plain,
( subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(212,negated_conjecture,
( ~ subset(relation_dom(relation_dom_restriction(esk12_0,esk11_0)),relation_dom(esk12_0))
| ~ relation(esk12_0) ),
inference(spm,[status(thm)],[172,182,theory(equality)]) ).
cnf(213,negated_conjecture,
( ~ subset(relation_dom(relation_dom_restriction(esk12_0,esk11_0)),relation_dom(esk12_0))
| $false ),
inference(rw,[status(thm)],[212,174,theory(equality)]) ).
cnf(214,negated_conjecture,
~ subset(relation_dom(relation_dom_restriction(esk12_0,esk11_0)),relation_dom(esk12_0)),
inference(cn,[status(thm)],[213,theory(equality)]) ).
cnf(237,negated_conjecture,
~ relation(esk12_0),
inference(spm,[status(thm)],[214,118,theory(equality)]) ).
cnf(238,negated_conjecture,
$false,
inference(rw,[status(thm)],[237,174,theory(equality)]) ).
cnf(239,negated_conjecture,
$false,
inference(cn,[status(thm)],[238,theory(equality)]) ).
cnf(240,negated_conjecture,
$false,
239,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU040+1.p
% --creating new selector for []
% -running prover on /tmp/tmpei2dYt/sel_SEU040+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU040+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU040+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU040+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
%
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