TSTP Solution File: SWB086+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB086+1 : TPTP v5.2.0. Released v5.2.0.
% 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 : Fri Mar 4 00:59:54 EST 2011
% Result : Theorem 0.37s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 16 unt; 0 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 251 ( 101 ~; 97 |; 45 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 101 ( 5 sgn 69 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(29,axiom,
! [X5,X7] :
( iext(uri_rdfs_subPropertyOf,X5,X7)
=> ( ip(X5)
& ip(X7)
& ! [X1,X6] :
( iext(X5,X1,X6)
=> iext(X7,X1,X6) ) ) ),
file('/tmp/tmpUamM_h/sel_SWB086+1.p_1',rdfs_subpropertyof_main) ).
fof(46,axiom,
! [X10,X11] :
( iext(uri_rdfs_subClassOf,X10,X11)
<=> ( ic(X10)
& ic(X11)
& ! [X1] :
( icext(X10,X1)
=> icext(X11,X1) ) ) ),
file('/tmp/tmpUamM_h/sel_SWB086+1.p_1',owl_rdfsext_subclassof) ).
fof(51,axiom,
! [X1,X6] :
( iext(uri_owl_onProperty,X1,X6)
=> ( icext(uri_owl_Restriction,X1)
& ip(X6) ) ),
file('/tmp/tmpUamM_h/sel_SWB086+1.p_1',owl_prop_onproperty_ext) ).
fof(57,axiom,
! [X12,X5,X13] :
( ( iext(uri_owl_hasSelf,X12,X13)
& iext(uri_owl_onProperty,X12,X5) )
=> ! [X1] :
( icext(X12,X1)
<=> iext(X5,X1,X1) ) ),
file('/tmp/tmpUamM_h/sel_SWB086+1.p_1',owl_restrict_hasself) ).
fof(101,axiom,
! [X1] :
( icext(uri_owl_Restriction,X1)
=> ic(X1) ),
file('/tmp/tmpUamM_h/sel_SWB086+1.p_1',owl_class_restriction_ext) ).
fof(116,axiom,
( iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2)
& iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1)
& iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2) ),
file('/tmp/tmpUamM_h/sel_SWB086+1.p_1',premise_rdfbased_sem_restrict_hasself_cmp_prop) ).
fof(117,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
file('/tmp/tmpUamM_h/sel_SWB086+1.p_1',conclusion_rdfbased_sem_restrict_hasself_cmp_prop) ).
fof(118,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(assume_negation,[status(cth)],[117]) ).
fof(119,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(fof_simplification,[status(thm)],[118,theory(equality)]) ).
fof(194,plain,
! [X5,X7] :
( ~ iext(uri_rdfs_subPropertyOf,X5,X7)
| ( ip(X5)
& ip(X7)
& ! [X1,X6] :
( ~ iext(X5,X1,X6)
| iext(X7,X1,X6) ) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(195,plain,
! [X8,X9] :
( ~ iext(uri_rdfs_subPropertyOf,X8,X9)
| ( ip(X8)
& ip(X9)
& ! [X10,X11] :
( ~ iext(X8,X10,X11)
| iext(X9,X10,X11) ) ) ),
inference(variable_rename,[status(thm)],[194]) ).
fof(196,plain,
! [X8,X9,X10,X11] :
( ( ( ~ iext(X8,X10,X11)
| iext(X9,X10,X11) )
& ip(X8)
& ip(X9) )
| ~ iext(uri_rdfs_subPropertyOf,X8,X9) ),
inference(shift_quantors,[status(thm)],[195]) ).
fof(197,plain,
! [X8,X9,X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X10,X11)
| ~ iext(uri_rdfs_subPropertyOf,X8,X9) )
& ( ip(X8)
| ~ iext(uri_rdfs_subPropertyOf,X8,X9) )
& ( ip(X9)
| ~ iext(uri_rdfs_subPropertyOf,X8,X9) ) ),
inference(distribute,[status(thm)],[196]) ).
cnf(200,plain,
( iext(X2,X3,X4)
| ~ iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ iext(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[197]) ).
fof(249,plain,
! [X10,X11] :
( ( ~ iext(uri_rdfs_subClassOf,X10,X11)
| ( ic(X10)
& ic(X11)
& ! [X1] :
( ~ icext(X10,X1)
| icext(X11,X1) ) ) )
& ( ~ ic(X10)
| ~ ic(X11)
| ? [X1] :
( icext(X10,X1)
& ~ icext(X11,X1) )
| iext(uri_rdfs_subClassOf,X10,X11) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(250,plain,
! [X12,X13] :
( ( ~ iext(uri_rdfs_subClassOf,X12,X13)
| ( ic(X12)
& ic(X13)
& ! [X14] :
( ~ icext(X12,X14)
| icext(X13,X14) ) ) )
& ( ~ ic(X12)
| ~ ic(X13)
| ? [X15] :
( icext(X12,X15)
& ~ icext(X13,X15) )
| iext(uri_rdfs_subClassOf,X12,X13) ) ),
inference(variable_rename,[status(thm)],[249]) ).
fof(251,plain,
! [X12,X13] :
( ( ~ iext(uri_rdfs_subClassOf,X12,X13)
| ( ic(X12)
& ic(X13)
& ! [X14] :
( ~ icext(X12,X14)
| icext(X13,X14) ) ) )
& ( ~ ic(X12)
| ~ ic(X13)
| ( icext(X12,esk3_2(X12,X13))
& ~ icext(X13,esk3_2(X12,X13)) )
| iext(uri_rdfs_subClassOf,X12,X13) ) ),
inference(skolemize,[status(esa)],[250]) ).
fof(252,plain,
! [X12,X13,X14] :
( ( ( ( ~ icext(X12,X14)
| icext(X13,X14) )
& ic(X12)
& ic(X13) )
| ~ iext(uri_rdfs_subClassOf,X12,X13) )
& ( ~ ic(X12)
| ~ ic(X13)
| ( icext(X12,esk3_2(X12,X13))
& ~ icext(X13,esk3_2(X12,X13)) )
| iext(uri_rdfs_subClassOf,X12,X13) ) ),
inference(shift_quantors,[status(thm)],[251]) ).
fof(253,plain,
! [X12,X13,X14] :
( ( ~ icext(X12,X14)
| icext(X13,X14)
| ~ iext(uri_rdfs_subClassOf,X12,X13) )
& ( ic(X12)
| ~ iext(uri_rdfs_subClassOf,X12,X13) )
& ( ic(X13)
| ~ iext(uri_rdfs_subClassOf,X12,X13) )
& ( icext(X12,esk3_2(X12,X13))
| ~ ic(X12)
| ~ ic(X13)
| iext(uri_rdfs_subClassOf,X12,X13) )
& ( ~ icext(X13,esk3_2(X12,X13))
| ~ ic(X12)
| ~ ic(X13)
| iext(uri_rdfs_subClassOf,X12,X13) ) ),
inference(distribute,[status(thm)],[252]) ).
cnf(254,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X2)
| ~ ic(X1)
| ~ icext(X2,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[253]) ).
cnf(255,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| icext(X1,esk3_2(X1,X2))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[253]) ).
fof(269,plain,
! [X1,X6] :
( ~ iext(uri_owl_onProperty,X1,X6)
| ( icext(uri_owl_Restriction,X1)
& ip(X6) ) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(270,plain,
! [X7,X8] :
( ~ iext(uri_owl_onProperty,X7,X8)
| ( icext(uri_owl_Restriction,X7)
& ip(X8) ) ),
inference(variable_rename,[status(thm)],[269]) ).
fof(271,plain,
! [X7,X8] :
( ( icext(uri_owl_Restriction,X7)
| ~ iext(uri_owl_onProperty,X7,X8) )
& ( ip(X8)
| ~ iext(uri_owl_onProperty,X7,X8) ) ),
inference(distribute,[status(thm)],[270]) ).
cnf(273,plain,
( icext(uri_owl_Restriction,X1)
| ~ iext(uri_owl_onProperty,X1,X2) ),
inference(split_conjunct,[status(thm)],[271]) ).
fof(292,plain,
! [X12,X5,X13] :
( ~ iext(uri_owl_hasSelf,X12,X13)
| ~ iext(uri_owl_onProperty,X12,X5)
| ! [X1] :
( ( ~ icext(X12,X1)
| iext(X5,X1,X1) )
& ( ~ iext(X5,X1,X1)
| icext(X12,X1) ) ) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(293,plain,
! [X14,X15,X16] :
( ~ iext(uri_owl_hasSelf,X14,X16)
| ~ iext(uri_owl_onProperty,X14,X15)
| ! [X17] :
( ( ~ icext(X14,X17)
| iext(X15,X17,X17) )
& ( ~ iext(X15,X17,X17)
| icext(X14,X17) ) ) ),
inference(variable_rename,[status(thm)],[292]) ).
fof(294,plain,
! [X14,X15,X16,X17] :
( ( ( ~ icext(X14,X17)
| iext(X15,X17,X17) )
& ( ~ iext(X15,X17,X17)
| icext(X14,X17) ) )
| ~ iext(uri_owl_hasSelf,X14,X16)
| ~ iext(uri_owl_onProperty,X14,X15) ),
inference(shift_quantors,[status(thm)],[293]) ).
fof(295,plain,
! [X14,X15,X16,X17] :
( ( ~ icext(X14,X17)
| iext(X15,X17,X17)
| ~ iext(uri_owl_hasSelf,X14,X16)
| ~ iext(uri_owl_onProperty,X14,X15) )
& ( ~ iext(X15,X17,X17)
| icext(X14,X17)
| ~ iext(uri_owl_hasSelf,X14,X16)
| ~ iext(uri_owl_onProperty,X14,X15) ) ),
inference(distribute,[status(thm)],[294]) ).
cnf(296,plain,
( icext(X1,X4)
| ~ iext(uri_owl_onProperty,X1,X2)
| ~ iext(uri_owl_hasSelf,X1,X3)
| ~ iext(X2,X4,X4) ),
inference(split_conjunct,[status(thm)],[295]) ).
cnf(297,plain,
( iext(X2,X4,X4)
| ~ iext(uri_owl_onProperty,X1,X2)
| ~ iext(uri_owl_hasSelf,X1,X3)
| ~ icext(X1,X4) ),
inference(split_conjunct,[status(thm)],[295]) ).
fof(418,plain,
! [X1] :
( ~ icext(uri_owl_Restriction,X1)
| ic(X1) ),
inference(fof_nnf,[status(thm)],[101]) ).
fof(419,plain,
! [X2] :
( ~ icext(uri_owl_Restriction,X2)
| ic(X2) ),
inference(variable_rename,[status(thm)],[418]) ).
cnf(420,plain,
( ic(X1)
| ~ icext(uri_owl_Restriction,X1) ),
inference(split_conjunct,[status(thm)],[419]) ).
cnf(469,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(470,plain,
iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(471,plain,
iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(472,plain,
iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(473,plain,
iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(474,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(570,plain,
icext(uri_owl_Restriction,uri_ex_x2),
inference(spm,[status(thm)],[273,472,theory(equality)]) ).
cnf(571,plain,
icext(uri_owl_Restriction,uri_ex_x1),
inference(spm,[status(thm)],[273,470,theory(equality)]) ).
cnf(576,plain,
( iext(uri_ex_p2,X1,X2)
| ~ iext(uri_ex_p1,X1,X2) ),
inference(spm,[status(thm)],[200,469,theory(equality)]) ).
cnf(587,plain,
( iext(uri_ex_p1,X1,X1)
| ~ icext(uri_ex_x1,X1)
| ~ iext(uri_owl_hasSelf,uri_ex_x1,X2) ),
inference(spm,[status(thm)],[297,470,theory(equality)]) ).
cnf(588,plain,
( icext(uri_ex_x2,X1)
| ~ iext(uri_owl_hasSelf,uri_ex_x2,X2)
| ~ iext(uri_ex_p2,X1,X1) ),
inference(spm,[status(thm)],[296,472,theory(equality)]) ).
cnf(1313,plain,
( iext(uri_ex_p1,X1,X1)
| ~ icext(uri_ex_x1,X1) ),
inference(spm,[status(thm)],[587,471,theory(equality)]) ).
cnf(1393,plain,
( icext(uri_ex_x2,X1)
| ~ iext(uri_ex_p2,X1,X1) ),
inference(spm,[status(thm)],[588,473,theory(equality)]) ).
cnf(1394,plain,
( icext(uri_ex_x2,X1)
| ~ iext(uri_ex_p1,X1,X1) ),
inference(spm,[status(thm)],[1393,576,theory(equality)]) ).
cnf(1396,plain,
( icext(uri_ex_x2,X1)
| ~ icext(uri_ex_x1,X1) ),
inference(spm,[status(thm)],[1394,1313,theory(equality)]) ).
cnf(1397,plain,
( icext(uri_ex_x2,esk3_2(uri_ex_x1,X1))
| iext(uri_rdfs_subClassOf,uri_ex_x1,X1)
| ~ ic(X1)
| ~ ic(uri_ex_x1) ),
inference(spm,[status(thm)],[1396,255,theory(equality)]) ).
cnf(1557,plain,
( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
| ~ ic(uri_ex_x2)
| ~ ic(uri_ex_x1) ),
inference(spm,[status(thm)],[254,1397,theory(equality)]) ).
cnf(1558,plain,
( ~ ic(uri_ex_x2)
| ~ ic(uri_ex_x1) ),
inference(sr,[status(thm)],[1557,474,theory(equality)]) ).
cnf(1559,plain,
( ~ ic(uri_ex_x2)
| ~ icext(uri_owl_Restriction,uri_ex_x1) ),
inference(spm,[status(thm)],[1558,420,theory(equality)]) ).
cnf(1560,plain,
( ~ ic(uri_ex_x2)
| $false ),
inference(rw,[status(thm)],[1559,571,theory(equality)]) ).
cnf(1561,plain,
~ ic(uri_ex_x2),
inference(cn,[status(thm)],[1560,theory(equality)]) ).
cnf(1569,plain,
~ icext(uri_owl_Restriction,uri_ex_x2),
inference(spm,[status(thm)],[1561,420,theory(equality)]) ).
cnf(1570,plain,
$false,
inference(rw,[status(thm)],[1569,570,theory(equality)]) ).
cnf(1571,plain,
$false,
inference(cn,[status(thm)],[1570,theory(equality)]) ).
cnf(1572,plain,
$false,
1571,
[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/SWB/SWB086+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpUamM_h/sel_SWB086+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB086+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB086+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB086+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
%
%------------------------------------------------------------------------------