TSTP Solution File: SEU196+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU196+2 : TPTP v5.0.0. Released v3.3.0.
% 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 05:28:26 EST 2010
% Result : Theorem 0.58s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 87 ( 41 ~; 31 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 2 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(38,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/tmp/tmpGHY2_h/sel_SEU196+2.p_1',dt_k7_relat_1) ).
fof(46,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
file('/tmp/tmpGHY2_h/sel_SEU196+2.p_1',t99_relat_1) ).
fof(67,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom_restriction(X2,X1),X2) ),
file('/tmp/tmpGHY2_h/sel_SEU196+2.p_1',t88_relat_1) ).
fof(180,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
=> ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
file('/tmp/tmpGHY2_h/sel_SEU196+2.p_1',t25_relat_1) ).
fof(188,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
inference(assume_negation,[status(cth)],[46]) ).
fof(363,plain,
! [X1,X2] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(364,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[363]) ).
cnf(365,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[364]) ).
fof(386,negated_conjecture,
? [X1,X2] :
( relation(X2)
& ~ subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
inference(fof_nnf,[status(thm)],[188]) ).
fof(387,negated_conjecture,
? [X3,X4] :
( relation(X4)
& ~ subset(relation_rng(relation_dom_restriction(X4,X3)),relation_rng(X4)) ),
inference(variable_rename,[status(thm)],[386]) ).
fof(388,negated_conjecture,
( relation(esk13_0)
& ~ subset(relation_rng(relation_dom_restriction(esk13_0,esk12_0)),relation_rng(esk13_0)) ),
inference(skolemize,[status(esa)],[387]) ).
cnf(389,negated_conjecture,
~ subset(relation_rng(relation_dom_restriction(esk13_0,esk12_0)),relation_rng(esk13_0)),
inference(split_conjunct,[status(thm)],[388]) ).
cnf(390,negated_conjecture,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[388]) ).
fof(470,plain,
! [X1,X2] :
( ~ relation(X2)
| subset(relation_dom_restriction(X2,X1),X2) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(471,plain,
! [X3,X4] :
( ~ relation(X4)
| subset(relation_dom_restriction(X4,X3),X4) ),
inference(variable_rename,[status(thm)],[470]) ).
cnf(472,plain,
( subset(relation_dom_restriction(X1,X2),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[471]) ).
fof(930,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ~ subset(X1,X2)
| ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[180]) ).
fof(931,plain,
! [X3] :
( ~ relation(X3)
| ! [X4] :
( ~ relation(X4)
| ~ subset(X3,X4)
| ( subset(relation_dom(X3),relation_dom(X4))
& subset(relation_rng(X3),relation_rng(X4)) ) ) ),
inference(variable_rename,[status(thm)],[930]) ).
fof(932,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ subset(X3,X4)
| ( subset(relation_dom(X3),relation_dom(X4))
& subset(relation_rng(X3),relation_rng(X4)) )
| ~ relation(X3) ),
inference(shift_quantors,[status(thm)],[931]) ).
fof(933,plain,
! [X3,X4] :
( ( subset(relation_dom(X3),relation_dom(X4))
| ~ subset(X3,X4)
| ~ relation(X4)
| ~ relation(X3) )
& ( subset(relation_rng(X3),relation_rng(X4))
| ~ subset(X3,X4)
| ~ relation(X4)
| ~ relation(X3) ) ),
inference(distribute,[status(thm)],[932]) ).
cnf(934,plain,
( subset(relation_rng(X1),relation_rng(X2))
| ~ relation(X1)
| ~ relation(X2)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[933]) ).
cnf(1227,plain,
( ~ subset(relation_dom_restriction(esk13_0,esk12_0),esk13_0)
| ~ relation(esk13_0)
| ~ relation(relation_dom_restriction(esk13_0,esk12_0)) ),
inference(spm,[status(thm)],[389,934,theory(equality)]) ).
cnf(1244,plain,
( ~ subset(relation_dom_restriction(esk13_0,esk12_0),esk13_0)
| $false
| ~ relation(relation_dom_restriction(esk13_0,esk12_0)) ),
inference(rw,[status(thm)],[1227,390,theory(equality)]) ).
cnf(1245,plain,
( ~ subset(relation_dom_restriction(esk13_0,esk12_0),esk13_0)
| ~ relation(relation_dom_restriction(esk13_0,esk12_0)) ),
inference(cn,[status(thm)],[1244,theory(equality)]) ).
cnf(5709,plain,
( ~ relation(relation_dom_restriction(esk13_0,esk12_0))
| ~ relation(esk13_0) ),
inference(spm,[status(thm)],[1245,472,theory(equality)]) ).
cnf(5713,plain,
( ~ relation(relation_dom_restriction(esk13_0,esk12_0))
| $false ),
inference(rw,[status(thm)],[5709,390,theory(equality)]) ).
cnf(5714,plain,
~ relation(relation_dom_restriction(esk13_0,esk12_0)),
inference(cn,[status(thm)],[5713,theory(equality)]) ).
cnf(5756,plain,
~ relation(esk13_0),
inference(spm,[status(thm)],[5714,365,theory(equality)]) ).
cnf(5760,plain,
$false,
inference(rw,[status(thm)],[5756,390,theory(equality)]) ).
cnf(5761,plain,
$false,
inference(cn,[status(thm)],[5760,theory(equality)]) ).
cnf(5762,plain,
$false,
5761,
[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/SEU196+2.p
% --creating new selector for []
% -running prover on /tmp/tmpGHY2_h/sel_SEU196+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU196+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU196+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU196+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
%
%------------------------------------------------------------------------------