TSTP Solution File: SWB024+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB024+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 : Tue Feb 15 23:55:51 EST 2011
% Result : Theorem 3.86s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 12 unt; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 286 ( 112 ~; 104 |; 63 &)
% ( 3 <=>; 4 =>; 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 : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 115 ( 0 sgn 70 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(41,axiom,
! [X4] :
( icext(uri_owl_TransitiveProperty,X4)
<=> ( ip(X4)
& ! [X1,X2,X3] :
( ( iext(X4,X1,X2)
& iext(X4,X2,X3) )
=> iext(X4,X1,X3) ) ) ),
file('/tmp/tmpHXVFT8/sel_SWB024+1.p_1',owl_char_transitive) ).
fof(58,axiom,
! [X5,X9] :
( iext(uri_rdfs_subClassOf,X5,X9)
=> ( ic(X5)
& ic(X9)
& ! [X1] :
( icext(X5,X1)
=> icext(X9,X1) ) ) ),
file('/tmp/tmpHXVFT8/sel_SWB024+1.p_1',rdfs_subclassof_main) ).
fof(76,axiom,
! [X3,X4] :
( ( iext(uri_owl_minCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X3,X4) )
=> ! [X1] :
( icext(X3,X1)
<=> ? [X2] : iext(X4,X1,X2) ) ),
file('/tmp/tmpHXVFT8/sel_SWB024+1.p_1',owl_restrict_mincard_001) ).
fof(80,axiom,
! [X1,X5] :
( iext(uri_rdf_type,X1,X5)
<=> icext(X5,X1) ),
file('/tmp/tmpHXVFT8/sel_SWB024+1.p_1',rdfs_cext_def) ).
fof(85,axiom,
? [X16] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X16)
& iext(uri_rdf_type,X16,uri_owl_Restriction)
& iext(uri_owl_onProperty,X16,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X16,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
file('/tmp/tmpHXVFT8/sel_SWB024+1.p_1',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(86,conjecture,
? [X17] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X17)
& iext(uri_ex_hasAncestor,uri_ex_alice,X17) ),
file('/tmp/tmpHXVFT8/sel_SWB024+1.p_1',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(87,negated_conjecture,
~ ? [X17] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X17)
& iext(uri_ex_hasAncestor,uri_ex_alice,X17) ),
inference(assume_negation,[status(cth)],[86]) ).
fof(285,plain,
! [X4] :
( ( ~ icext(uri_owl_TransitiveProperty,X4)
| ( ip(X4)
& ! [X1,X2,X3] :
( ~ iext(X4,X1,X2)
| ~ iext(X4,X2,X3)
| iext(X4,X1,X3) ) ) )
& ( ~ ip(X4)
| ? [X1,X2,X3] :
( iext(X4,X1,X2)
& iext(X4,X2,X3)
& ~ iext(X4,X1,X3) )
| icext(uri_owl_TransitiveProperty,X4) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(286,plain,
! [X5] :
( ( ~ icext(uri_owl_TransitiveProperty,X5)
| ( ip(X5)
& ! [X6,X7,X8] :
( ~ iext(X5,X6,X7)
| ~ iext(X5,X7,X8)
| iext(X5,X6,X8) ) ) )
& ( ~ ip(X5)
| ? [X9,X10,X11] :
( iext(X5,X9,X10)
& iext(X5,X10,X11)
& ~ iext(X5,X9,X11) )
| icext(uri_owl_TransitiveProperty,X5) ) ),
inference(variable_rename,[status(thm)],[285]) ).
fof(287,plain,
! [X5] :
( ( ~ icext(uri_owl_TransitiveProperty,X5)
| ( ip(X5)
& ! [X6,X7,X8] :
( ~ iext(X5,X6,X7)
| ~ iext(X5,X7,X8)
| iext(X5,X6,X8) ) ) )
& ( ~ ip(X5)
| ( iext(X5,esk24_1(X5),esk25_1(X5))
& iext(X5,esk25_1(X5),esk26_1(X5))
& ~ iext(X5,esk24_1(X5),esk26_1(X5)) )
| icext(uri_owl_TransitiveProperty,X5) ) ),
inference(skolemize,[status(esa)],[286]) ).
fof(288,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ iext(X5,X6,X7)
| ~ iext(X5,X7,X8)
| iext(X5,X6,X8) )
& ip(X5) )
| ~ icext(uri_owl_TransitiveProperty,X5) )
& ( ~ ip(X5)
| ( iext(X5,esk24_1(X5),esk25_1(X5))
& iext(X5,esk25_1(X5),esk26_1(X5))
& ~ iext(X5,esk24_1(X5),esk26_1(X5)) )
| icext(uri_owl_TransitiveProperty,X5) ) ),
inference(shift_quantors,[status(thm)],[287]) ).
fof(289,plain,
! [X5,X6,X7,X8] :
( ( ~ iext(X5,X6,X7)
| ~ iext(X5,X7,X8)
| iext(X5,X6,X8)
| ~ icext(uri_owl_TransitiveProperty,X5) )
& ( ip(X5)
| ~ icext(uri_owl_TransitiveProperty,X5) )
& ( iext(X5,esk24_1(X5),esk25_1(X5))
| ~ ip(X5)
| icext(uri_owl_TransitiveProperty,X5) )
& ( iext(X5,esk25_1(X5),esk26_1(X5))
| ~ ip(X5)
| icext(uri_owl_TransitiveProperty,X5) )
& ( ~ iext(X5,esk24_1(X5),esk26_1(X5))
| ~ ip(X5)
| icext(uri_owl_TransitiveProperty,X5) ) ),
inference(distribute,[status(thm)],[288]) ).
cnf(294,plain,
( iext(X1,X2,X3)
| ~ icext(uri_owl_TransitiveProperty,X1)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[289]) ).
fof(455,plain,
! [X5,X9] :
( ~ iext(uri_rdfs_subClassOf,X5,X9)
| ( ic(X5)
& ic(X9)
& ! [X1] :
( ~ icext(X5,X1)
| icext(X9,X1) ) ) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(456,plain,
! [X10,X11] :
( ~ iext(uri_rdfs_subClassOf,X10,X11)
| ( ic(X10)
& ic(X11)
& ! [X12] :
( ~ icext(X10,X12)
| icext(X11,X12) ) ) ),
inference(variable_rename,[status(thm)],[455]) ).
fof(457,plain,
! [X10,X11,X12] :
( ( ( ~ icext(X10,X12)
| icext(X11,X12) )
& ic(X10)
& ic(X11) )
| ~ iext(uri_rdfs_subClassOf,X10,X11) ),
inference(shift_quantors,[status(thm)],[456]) ).
fof(458,plain,
! [X10,X11,X12] :
( ( ~ icext(X10,X12)
| icext(X11,X12)
| ~ iext(uri_rdfs_subClassOf,X10,X11) )
& ( ic(X10)
| ~ iext(uri_rdfs_subClassOf,X10,X11) )
& ( ic(X11)
| ~ iext(uri_rdfs_subClassOf,X10,X11) ) ),
inference(distribute,[status(thm)],[457]) ).
cnf(461,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_subClassOf,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[458]) ).
fof(606,plain,
! [X3,X4] :
( ~ iext(uri_owl_minCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X3,X4)
| ! [X1] :
( ( ~ icext(X3,X1)
| ? [X2] : iext(X4,X1,X2) )
& ( ! [X2] : ~ iext(X4,X1,X2)
| icext(X3,X1) ) ) ),
inference(fof_nnf,[status(thm)],[76]) ).
fof(607,plain,
! [X5,X6] :
( ~ iext(uri_owl_minCardinality,X5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X5,X6)
| ! [X7] :
( ( ~ icext(X5,X7)
| ? [X8] : iext(X6,X7,X8) )
& ( ! [X9] : ~ iext(X6,X7,X9)
| icext(X5,X7) ) ) ),
inference(variable_rename,[status(thm)],[606]) ).
fof(608,plain,
! [X5,X6] :
( ~ iext(uri_owl_minCardinality,X5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X5,X6)
| ! [X7] :
( ( ~ icext(X5,X7)
| iext(X6,X7,esk83_3(X5,X6,X7)) )
& ( ! [X9] : ~ iext(X6,X7,X9)
| icext(X5,X7) ) ) ),
inference(skolemize,[status(esa)],[607]) ).
fof(609,plain,
! [X5,X6,X7,X9] :
( ( ( ~ iext(X6,X7,X9)
| icext(X5,X7) )
& ( ~ icext(X5,X7)
| iext(X6,X7,esk83_3(X5,X6,X7)) ) )
| ~ iext(uri_owl_minCardinality,X5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X5,X6) ),
inference(shift_quantors,[status(thm)],[608]) ).
fof(610,plain,
! [X5,X6,X7,X9] :
( ( ~ iext(X6,X7,X9)
| icext(X5,X7)
| ~ iext(uri_owl_minCardinality,X5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X5,X6) )
& ( ~ icext(X5,X7)
| iext(X6,X7,esk83_3(X5,X6,X7))
| ~ iext(uri_owl_minCardinality,X5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X5,X6) ) ),
inference(distribute,[status(thm)],[609]) ).
cnf(611,plain,
( iext(X2,X3,esk83_3(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X1,X2)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[610]) ).
fof(631,plain,
! [X1,X5] :
( ( ~ iext(uri_rdf_type,X1,X5)
| icext(X5,X1) )
& ( ~ icext(X5,X1)
| iext(uri_rdf_type,X1,X5) ) ),
inference(fof_nnf,[status(thm)],[80]) ).
fof(632,plain,
! [X6,X7] :
( ( ~ iext(uri_rdf_type,X6,X7)
| icext(X7,X6) )
& ( ~ icext(X7,X6)
| iext(uri_rdf_type,X6,X7) ) ),
inference(variable_rename,[status(thm)],[631]) ).
cnf(633,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[632]) ).
cnf(634,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[632]) ).
fof(699,plain,
? [X17] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X17)
& iext(uri_rdf_type,X17,uri_owl_Restriction)
& iext(uri_owl_onProperty,X17,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X17,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
inference(variable_rename,[status(thm)],[85]) ).
fof(700,plain,
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,esk95_0)
& iext(uri_rdf_type,esk95_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk95_0,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,esk95_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
inference(skolemize,[status(esa)],[699]) ).
cnf(701,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[700]) ).
cnf(702,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(split_conjunct,[status(thm)],[700]) ).
cnf(704,plain,
iext(uri_owl_minCardinality,esk95_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(split_conjunct,[status(thm)],[700]) ).
cnf(705,plain,
iext(uri_owl_onProperty,esk95_0,uri_ex_hasAncestor),
inference(split_conjunct,[status(thm)],[700]) ).
cnf(707,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,esk95_0),
inference(split_conjunct,[status(thm)],[700]) ).
cnf(708,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(split_conjunct,[status(thm)],[700]) ).
fof(709,negated_conjecture,
! [X17] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X17)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X17) ),
inference(fof_nnf,[status(thm)],[87]) ).
fof(710,negated_conjecture,
! [X18] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X18)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X18) ),
inference(variable_rename,[status(thm)],[709]) ).
cnf(711,negated_conjecture,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1) ),
inference(split_conjunct,[status(thm)],[710]) ).
cnf(918,plain,
( icext(esk95_0,X1)
| ~ icext(uri_ex_Person,X1) ),
inference(spm,[status(thm)],[461,707,theory(equality)]) ).
cnf(924,plain,
( iext(X1,X2,X3)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X2,X4)
| ~ iext(uri_rdf_type,X1,uri_owl_TransitiveProperty) ),
inference(spm,[status(thm)],[294,634,theory(equality)]) ).
cnf(1573,negated_conjecture,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,esk83_3(X1,uri_ex_hasAncestor,uri_ex_bob))
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor)
| ~ icext(X1,uri_ex_bob) ),
inference(spm,[status(thm)],[711,611,theory(equality)]) ).
cnf(10115,plain,
( icext(esk95_0,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_Person) ),
inference(spm,[status(thm)],[918,634,theory(equality)]) ).
cnf(10169,plain,
( iext(uri_rdf_type,X1,esk95_0)
| ~ iext(uri_rdf_type,X1,uri_ex_Person) ),
inference(spm,[status(thm)],[633,10115,theory(equality)]) ).
cnf(10175,plain,
iext(uri_rdf_type,uri_ex_bob,esk95_0),
inference(spm,[status(thm)],[10169,702,theory(equality)]) ).
cnf(13279,plain,
( iext(uri_ex_hasAncestor,X1,X2)
| ~ iext(uri_ex_hasAncestor,X3,X2)
| ~ iext(uri_ex_hasAncestor,X1,X3) ),
inference(spm,[status(thm)],[924,708,theory(equality)]) ).
cnf(14919,plain,
( iext(uri_ex_hasAncestor,X1,esk83_3(X2,uri_ex_hasAncestor,X3))
| ~ iext(uri_ex_hasAncestor,X1,X3)
| ~ iext(uri_owl_minCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X2,uri_ex_hasAncestor)
| ~ icext(X2,X3) ),
inference(spm,[status(thm)],[13279,611,theory(equality)]) ).
cnf(28911,negated_conjecture,
( ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor)
| ~ icext(X1,uri_ex_bob)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
inference(spm,[status(thm)],[1573,14919,theory(equality)]) ).
cnf(28918,negated_conjecture,
( ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor)
| ~ icext(X1,uri_ex_bob)
| $false ),
inference(rw,[status(thm)],[28911,701,theory(equality)]) ).
cnf(28919,negated_conjecture,
( ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor)
| ~ icext(X1,uri_ex_bob) ),
inference(cn,[status(thm)],[28918,theory(equality)]) ).
cnf(28920,negated_conjecture,
( ~ iext(uri_owl_onProperty,esk95_0,uri_ex_hasAncestor)
| ~ icext(esk95_0,uri_ex_bob) ),
inference(spm,[status(thm)],[28919,704,theory(equality)]) ).
cnf(28921,negated_conjecture,
( $false
| ~ icext(esk95_0,uri_ex_bob) ),
inference(rw,[status(thm)],[28920,705,theory(equality)]) ).
cnf(28922,negated_conjecture,
~ icext(esk95_0,uri_ex_bob),
inference(cn,[status(thm)],[28921,theory(equality)]) ).
cnf(29085,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_bob,esk95_0),
inference(spm,[status(thm)],[28922,634,theory(equality)]) ).
cnf(29087,negated_conjecture,
$false,
inference(rw,[status(thm)],[29085,10175,theory(equality)]) ).
cnf(29088,negated_conjecture,
$false,
inference(cn,[status(thm)],[29087,theory(equality)]) ).
cnf(29089,negated_conjecture,
$false,
29088,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB024+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpHXVFT8/sel_SWB024+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB024+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB024+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB024+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
%
%------------------------------------------------------------------------------