TSTP Solution File: SWB024+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB024+2 : TPTP v5.2.0. Released v5.2.0.
% 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 : Tue Feb 15 23:56:04 EST 2011
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 58 ( 12 unt; 0 def)
% Number of atoms : 264 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 337 ( 131 ~; 124 |; 75 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-3 aty)
% Number of variables : 120 ( 0 sgn 73 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ( iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X1,X2) )
=> ! [X3] :
( icext(X1,X3)
<=> ? [X4] : iext(X2,X3,X4) ) ),
file('/tmp/tmpTfhMX8/sel_SWB024+2.p_1',owl_restrict_mincard_001) ).
fof(2,axiom,
? [X5] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X5)
& iext(uri_rdf_type,X5,uri_owl_Restriction)
& iext(uri_owl_onProperty,X5,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X5,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/tmpTfhMX8/sel_SWB024+2.p_1',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(3,conjecture,
? [X6] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X6)
& iext(uri_ex_hasAncestor,uri_ex_alice,X6) ),
file('/tmp/tmpTfhMX8/sel_SWB024+2.p_1',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(4,axiom,
! [X7,X8] :
( iext(uri_rdfs_subClassOf,X7,X8)
<=> ( ic(X7)
& ic(X8)
& ! [X3] :
( icext(X7,X3)
=> icext(X8,X3) ) ) ),
file('/tmp/tmpTfhMX8/sel_SWB024+2.p_1',owl_rdfsext_subclassof) ).
fof(5,axiom,
! [X2] :
( icext(uri_owl_TransitiveProperty,X2)
<=> ( ip(X2)
& ! [X3,X4,X1] :
( ( iext(X2,X3,X4)
& iext(X2,X4,X1) )
=> iext(X2,X3,X1) ) ) ),
file('/tmp/tmpTfhMX8/sel_SWB024+2.p_1',owl_char_transitive) ).
fof(6,axiom,
! [X3,X9] :
( iext(uri_rdf_type,X3,X9)
<=> icext(X9,X3) ),
file('/tmp/tmpTfhMX8/sel_SWB024+2.p_1',rdfs_cext_def) ).
fof(7,negated_conjecture,
~ ? [X6] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X6)
& iext(uri_ex_hasAncestor,uri_ex_alice,X6) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(8,plain,
! [X1,X2] :
( ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,X2)
| ! [X3] :
( ( ~ icext(X1,X3)
| ? [X4] : iext(X2,X3,X4) )
& ( ! [X4] : ~ iext(X2,X3,X4)
| icext(X1,X3) ) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(9,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)],[8]) ).
fof(10,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,esk1_3(X5,X6,X7)) )
& ( ! [X9] : ~ iext(X6,X7,X9)
| icext(X5,X7) ) ) ),
inference(skolemize,[status(esa)],[9]) ).
fof(11,plain,
! [X5,X6,X7,X9] :
( ( ( ~ iext(X6,X7,X9)
| icext(X5,X7) )
& ( ~ icext(X5,X7)
| iext(X6,X7,esk1_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)],[10]) ).
fof(12,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,esk1_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)],[11]) ).
cnf(13,plain,
( iext(X2,X3,esk1_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)],[12]) ).
fof(15,plain,
? [X6] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X6)
& iext(uri_rdf_type,X6,uri_owl_Restriction)
& iext(uri_owl_onProperty,X6,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X6,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)],[2]) ).
fof(16,plain,
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,esk2_0)
& iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk2_0,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,esk2_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)],[15]) ).
cnf(17,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(18,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(20,plain,
iext(uri_owl_minCardinality,esk2_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(21,plain,
iext(uri_owl_onProperty,esk2_0,uri_ex_hasAncestor),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(23,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,esk2_0),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(24,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(split_conjunct,[status(thm)],[16]) ).
fof(25,negated_conjecture,
! [X6] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X6)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X6) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(26,negated_conjecture,
! [X7] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X7)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X7) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(27,negated_conjecture,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X7,X8] :
( ( ~ iext(uri_rdfs_subClassOf,X7,X8)
| ( ic(X7)
& ic(X8)
& ! [X3] :
( ~ icext(X7,X3)
| icext(X8,X3) ) ) )
& ( ~ ic(X7)
| ~ ic(X8)
| ? [X3] :
( icext(X7,X3)
& ~ icext(X8,X3) )
| iext(uri_rdfs_subClassOf,X7,X8) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(29,plain,
! [X9,X10] :
( ( ~ iext(uri_rdfs_subClassOf,X9,X10)
| ( ic(X9)
& ic(X10)
& ! [X11] :
( ~ icext(X9,X11)
| icext(X10,X11) ) ) )
& ( ~ ic(X9)
| ~ ic(X10)
| ? [X12] :
( icext(X9,X12)
& ~ icext(X10,X12) )
| iext(uri_rdfs_subClassOf,X9,X10) ) ),
inference(variable_rename,[status(thm)],[28]) ).
fof(30,plain,
! [X9,X10] :
( ( ~ iext(uri_rdfs_subClassOf,X9,X10)
| ( ic(X9)
& ic(X10)
& ! [X11] :
( ~ icext(X9,X11)
| icext(X10,X11) ) ) )
& ( ~ ic(X9)
| ~ ic(X10)
| ( icext(X9,esk3_2(X9,X10))
& ~ icext(X10,esk3_2(X9,X10)) )
| iext(uri_rdfs_subClassOf,X9,X10) ) ),
inference(skolemize,[status(esa)],[29]) ).
fof(31,plain,
! [X9,X10,X11] :
( ( ( ( ~ icext(X9,X11)
| icext(X10,X11) )
& ic(X9)
& ic(X10) )
| ~ iext(uri_rdfs_subClassOf,X9,X10) )
& ( ~ ic(X9)
| ~ ic(X10)
| ( icext(X9,esk3_2(X9,X10))
& ~ icext(X10,esk3_2(X9,X10)) )
| iext(uri_rdfs_subClassOf,X9,X10) ) ),
inference(shift_quantors,[status(thm)],[30]) ).
fof(32,plain,
! [X9,X10,X11] :
( ( ~ icext(X9,X11)
| icext(X10,X11)
| ~ iext(uri_rdfs_subClassOf,X9,X10) )
& ( ic(X9)
| ~ iext(uri_rdfs_subClassOf,X9,X10) )
& ( ic(X10)
| ~ iext(uri_rdfs_subClassOf,X9,X10) )
& ( icext(X9,esk3_2(X9,X10))
| ~ ic(X9)
| ~ ic(X10)
| iext(uri_rdfs_subClassOf,X9,X10) )
& ( ~ icext(X10,esk3_2(X9,X10))
| ~ ic(X9)
| ~ ic(X10)
| iext(uri_rdfs_subClassOf,X9,X10) ) ),
inference(distribute,[status(thm)],[31]) ).
cnf(37,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_subClassOf,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[32]) ).
fof(38,plain,
! [X2] :
( ( ~ icext(uri_owl_TransitiveProperty,X2)
| ( ip(X2)
& ! [X3,X4,X1] :
( ~ iext(X2,X3,X4)
| ~ iext(X2,X4,X1)
| iext(X2,X3,X1) ) ) )
& ( ~ ip(X2)
| ? [X3,X4,X1] :
( iext(X2,X3,X4)
& iext(X2,X4,X1)
& ~ iext(X2,X3,X1) )
| icext(uri_owl_TransitiveProperty,X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(39,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)],[38]) ).
fof(40,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,esk4_1(X5),esk5_1(X5))
& iext(X5,esk5_1(X5),esk6_1(X5))
& ~ iext(X5,esk4_1(X5),esk6_1(X5)) )
| icext(uri_owl_TransitiveProperty,X5) ) ),
inference(skolemize,[status(esa)],[39]) ).
fof(41,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,esk4_1(X5),esk5_1(X5))
& iext(X5,esk5_1(X5),esk6_1(X5))
& ~ iext(X5,esk4_1(X5),esk6_1(X5)) )
| icext(uri_owl_TransitiveProperty,X5) ) ),
inference(shift_quantors,[status(thm)],[40]) ).
fof(42,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,esk4_1(X5),esk5_1(X5))
| ~ ip(X5)
| icext(uri_owl_TransitiveProperty,X5) )
& ( iext(X5,esk5_1(X5),esk6_1(X5))
| ~ ip(X5)
| icext(uri_owl_TransitiveProperty,X5) )
& ( ~ iext(X5,esk4_1(X5),esk6_1(X5))
| ~ ip(X5)
| icext(uri_owl_TransitiveProperty,X5) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(47,plain,
( iext(X1,X2,X3)
| ~ icext(uri_owl_TransitiveProperty,X1)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(48,plain,
! [X3,X9] :
( ( ~ iext(uri_rdf_type,X3,X9)
| icext(X9,X3) )
& ( ~ icext(X9,X3)
| iext(uri_rdf_type,X3,X9) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(49,plain,
! [X10,X11] :
( ( ~ iext(uri_rdf_type,X10,X11)
| icext(X11,X10) )
& ( ~ icext(X11,X10)
| iext(uri_rdf_type,X10,X11) ) ),
inference(variable_rename,[status(thm)],[48]) ).
cnf(50,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(51,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(55,plain,
( icext(esk2_0,X1)
| ~ icext(uri_ex_Person,X1) ),
inference(spm,[status(thm)],[37,23,theory(equality)]) ).
cnf(56,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)],[47,51,theory(equality)]) ).
cnf(68,negated_conjecture,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,esk1_3(X1,uri_ex_hasAncestor,uri_ex_bob))
| ~ icext(X1,uri_ex_bob)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor) ),
inference(spm,[status(thm)],[27,13,theory(equality)]) ).
cnf(72,plain,
( icext(esk2_0,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_Person) ),
inference(spm,[status(thm)],[55,51,theory(equality)]) ).
cnf(76,plain,
( iext(uri_ex_hasAncestor,X1,X2)
| ~ iext(uri_ex_hasAncestor,X3,X2)
| ~ iext(uri_ex_hasAncestor,X1,X3) ),
inference(spm,[status(thm)],[56,24,theory(equality)]) ).
cnf(89,plain,
( iext(uri_rdf_type,X1,esk2_0)
| ~ iext(uri_rdf_type,X1,uri_ex_Person) ),
inference(spm,[status(thm)],[50,72,theory(equality)]) ).
cnf(94,plain,
iext(uri_rdf_type,uri_ex_bob,esk2_0),
inference(spm,[status(thm)],[89,18,theory(equality)]) ).
cnf(99,plain,
( iext(uri_ex_hasAncestor,X1,esk1_3(X2,uri_ex_hasAncestor,X3))
| ~ iext(uri_ex_hasAncestor,X1,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_minCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X2,uri_ex_hasAncestor) ),
inference(spm,[status(thm)],[76,13,theory(equality)]) ).
cnf(191,negated_conjecture,
( ~ icext(X1,uri_ex_bob)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
inference(spm,[status(thm)],[68,99,theory(equality)]) ).
cnf(194,negated_conjecture,
( ~ icext(X1,uri_ex_bob)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor)
| $false ),
inference(rw,[status(thm)],[191,17,theory(equality)]) ).
cnf(195,negated_conjecture,
( ~ icext(X1,uri_ex_bob)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor) ),
inference(cn,[status(thm)],[194,theory(equality)]) ).
cnf(196,negated_conjecture,
( ~ icext(esk2_0,uri_ex_bob)
| ~ iext(uri_owl_onProperty,esk2_0,uri_ex_hasAncestor) ),
inference(spm,[status(thm)],[195,20,theory(equality)]) ).
cnf(197,negated_conjecture,
( ~ icext(esk2_0,uri_ex_bob)
| $false ),
inference(rw,[status(thm)],[196,21,theory(equality)]) ).
cnf(198,negated_conjecture,
~ icext(esk2_0,uri_ex_bob),
inference(cn,[status(thm)],[197,theory(equality)]) ).
cnf(199,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_bob,esk2_0),
inference(spm,[status(thm)],[198,51,theory(equality)]) ).
cnf(201,negated_conjecture,
$false,
inference(rw,[status(thm)],[199,94,theory(equality)]) ).
cnf(202,negated_conjecture,
$false,
inference(cn,[status(thm)],[201,theory(equality)]) ).
cnf(203,negated_conjecture,
$false,
202,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB024+2.p
% --creating new selector for []
% -running prover on /tmp/tmpTfhMX8/sel_SWB024+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB024+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB024+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB024+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
%
%------------------------------------------------------------------------------