TSTP Solution File: SWB028+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB028+2 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 23:59:01 EST 2011
% Result : Theorem 0.42s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 98 ( 13 unt; 0 def)
% Number of atoms : 596 ( 35 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 790 ( 292 ~; 335 |; 149 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-4 aty)
% Number of variables : 256 ( 3 sgn 153 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( iext(uri_owl_equivalentClass,X1,X2)
=> ( ic(X1)
& ic(X2) ) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_prop_equivalentclass_ext) ).
fof(2,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_class_inversefunctionalproperty_type) ).
fof(3,axiom,
! [X3,X4] :
( iext(uri_rdfs_subClassOf,X3,X4)
<=> ( ic(X3)
& ic(X4)
& ! [X1] :
( icext(X3,X1)
=> icext(X4,X1) ) ) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_rdfsext_subclassof) ).
fof(4,axiom,
! [X1,X2] :
( iext(uri_owl_inverseOf,X1,X2)
=> ( ip(X1)
& ip(X2) ) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_prop_inverseof_ext) ).
fof(5,axiom,
! [X5] :
( icext(uri_owl_InverseFunctionalProperty,X5)
<=> ( ip(X5)
& ! [X6,X7,X2] :
( ( iext(X5,X6,X2)
& iext(X5,X7,X2) )
=> X6 = X7 ) ) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_char_inversefunctional) ).
fof(6,axiom,
? [X8] :
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X8)
& iext(uri_rdf_type,X8,uri_owl_Restriction)
& iext(uri_owl_onProperty,X8,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,X8,uri_owl_FunctionalProperty) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).
fof(7,axiom,
! [X9,X10] :
( iext(uri_owl_inverseOf,X9,X10)
<=> ( ip(X9)
& ip(X10)
& ! [X1,X2] :
( iext(X9,X1,X2)
<=> iext(X10,X2,X1) ) ) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_inv) ).
fof(8,axiom,
! [X5] :
( icext(uri_owl_FunctionalProperty,X5)
<=> ( ip(X5)
& ! [X1,X11,X12] :
( ( iext(X5,X1,X11)
& iext(X5,X1,X12) )
=> X11 = X12 ) ) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_char_functional) ).
fof(9,axiom,
! [X13,X5,X14] :
( ( iext(uri_owl_someValuesFrom,X13,X14)
& iext(uri_owl_onProperty,X13,X5) )
=> ! [X1] :
( icext(X13,X1)
<=> ? [X2] :
( iext(X5,X1,X2)
& icext(X14,X2) ) ) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_restrict_somevaluesfrom) ).
fof(10,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).
fof(11,axiom,
! [X3,X4] :
( iext(uri_owl_equivalentClass,X3,X4)
<=> ( ic(X3)
& ic(X4)
& ! [X1] :
( icext(X3,X1)
<=> icext(X4,X1) ) ) ),
file('/tmp/tmpetihEh/sel_SWB028+2.p_1',owl_eqdis_equivalentclass) ).
fof(12,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[10]) ).
fof(13,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(14,plain,
! [X1,X2] :
( ~ iext(uri_owl_equivalentClass,X1,X2)
| ( ic(X1)
& ic(X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(15,plain,
! [X3,X4] :
( ~ iext(uri_owl_equivalentClass,X3,X4)
| ( ic(X3)
& ic(X4) ) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(16,plain,
! [X3,X4] :
( ( ic(X3)
| ~ iext(uri_owl_equivalentClass,X3,X4) )
& ( ic(X4)
| ~ iext(uri_owl_equivalentClass,X3,X4) ) ),
inference(distribute,[status(thm)],[15]) ).
cnf(18,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X1,X2) ),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(19,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[2]) ).
fof(20,plain,
! [X3,X4] :
( ( ~ iext(uri_rdfs_subClassOf,X3,X4)
| ( ic(X3)
& ic(X4)
& ! [X1] :
( ~ icext(X3,X1)
| icext(X4,X1) ) ) )
& ( ~ ic(X3)
| ~ ic(X4)
| ? [X1] :
( icext(X3,X1)
& ~ icext(X4,X1) )
| iext(uri_rdfs_subClassOf,X3,X4) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(21,plain,
! [X5,X6] :
( ( ~ iext(uri_rdfs_subClassOf,X5,X6)
| ( ic(X5)
& ic(X6)
& ! [X7] :
( ~ icext(X5,X7)
| icext(X6,X7) ) ) )
& ( ~ ic(X5)
| ~ ic(X6)
| ? [X8] :
( icext(X5,X8)
& ~ icext(X6,X8) )
| iext(uri_rdfs_subClassOf,X5,X6) ) ),
inference(variable_rename,[status(thm)],[20]) ).
fof(22,plain,
! [X5,X6] :
( ( ~ iext(uri_rdfs_subClassOf,X5,X6)
| ( ic(X5)
& ic(X6)
& ! [X7] :
( ~ icext(X5,X7)
| icext(X6,X7) ) ) )
& ( ~ ic(X5)
| ~ ic(X6)
| ( icext(X5,esk1_2(X5,X6))
& ~ icext(X6,esk1_2(X5,X6)) )
| iext(uri_rdfs_subClassOf,X5,X6) ) ),
inference(skolemize,[status(esa)],[21]) ).
fof(23,plain,
! [X5,X6,X7] :
( ( ( ( ~ icext(X5,X7)
| icext(X6,X7) )
& ic(X5)
& ic(X6) )
| ~ iext(uri_rdfs_subClassOf,X5,X6) )
& ( ~ ic(X5)
| ~ ic(X6)
| ( icext(X5,esk1_2(X5,X6))
& ~ icext(X6,esk1_2(X5,X6)) )
| iext(uri_rdfs_subClassOf,X5,X6) ) ),
inference(shift_quantors,[status(thm)],[22]) ).
fof(24,plain,
! [X5,X6,X7] :
( ( ~ icext(X5,X7)
| icext(X6,X7)
| ~ iext(uri_rdfs_subClassOf,X5,X6) )
& ( ic(X5)
| ~ iext(uri_rdfs_subClassOf,X5,X6) )
& ( ic(X6)
| ~ iext(uri_rdfs_subClassOf,X5,X6) )
& ( icext(X5,esk1_2(X5,X6))
| ~ ic(X5)
| ~ ic(X6)
| iext(uri_rdfs_subClassOf,X5,X6) )
& ( ~ icext(X6,esk1_2(X5,X6))
| ~ ic(X5)
| ~ ic(X6)
| iext(uri_rdfs_subClassOf,X5,X6) ) ),
inference(distribute,[status(thm)],[23]) ).
cnf(25,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X2)
| ~ ic(X1)
| ~ icext(X2,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(26,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| icext(X1,esk1_2(X1,X2))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[24]) ).
fof(30,plain,
! [X1,X2] :
( ~ iext(uri_owl_inverseOf,X1,X2)
| ( ip(X1)
& ip(X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(31,plain,
! [X3,X4] :
( ~ iext(uri_owl_inverseOf,X3,X4)
| ( ip(X3)
& ip(X4) ) ),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,plain,
! [X3,X4] :
( ( ip(X3)
| ~ iext(uri_owl_inverseOf,X3,X4) )
& ( ip(X4)
| ~ iext(uri_owl_inverseOf,X3,X4) ) ),
inference(distribute,[status(thm)],[31]) ).
cnf(34,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[32]) ).
fof(35,plain,
! [X5] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X5)
| ( ip(X5)
& ! [X6,X7,X2] :
( ~ iext(X5,X6,X2)
| ~ iext(X5,X7,X2)
| X6 = X7 ) ) )
& ( ~ ip(X5)
| ? [X6,X7,X2] :
( iext(X5,X6,X2)
& iext(X5,X7,X2)
& X6 != X7 )
| icext(uri_owl_InverseFunctionalProperty,X5) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(36,plain,
! [X8] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X8)
| ( ip(X8)
& ! [X9,X10,X11] :
( ~ iext(X8,X9,X11)
| ~ iext(X8,X10,X11)
| X9 = X10 ) ) )
& ( ~ ip(X8)
| ? [X12,X13,X14] :
( iext(X8,X12,X14)
& iext(X8,X13,X14)
& X12 != X13 )
| icext(uri_owl_InverseFunctionalProperty,X8) ) ),
inference(variable_rename,[status(thm)],[35]) ).
fof(37,plain,
! [X8] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X8)
| ( ip(X8)
& ! [X9,X10,X11] :
( ~ iext(X8,X9,X11)
| ~ iext(X8,X10,X11)
| X9 = X10 ) ) )
& ( ~ ip(X8)
| ( iext(X8,esk2_1(X8),esk4_1(X8))
& iext(X8,esk3_1(X8),esk4_1(X8))
& esk2_1(X8) != esk3_1(X8) )
| icext(uri_owl_InverseFunctionalProperty,X8) ) ),
inference(skolemize,[status(esa)],[36]) ).
fof(38,plain,
! [X8,X9,X10,X11] :
( ( ( ( ~ iext(X8,X9,X11)
| ~ iext(X8,X10,X11)
| X9 = X10 )
& ip(X8) )
| ~ icext(uri_owl_InverseFunctionalProperty,X8) )
& ( ~ ip(X8)
| ( iext(X8,esk2_1(X8),esk4_1(X8))
& iext(X8,esk3_1(X8),esk4_1(X8))
& esk2_1(X8) != esk3_1(X8) )
| icext(uri_owl_InverseFunctionalProperty,X8) ) ),
inference(shift_quantors,[status(thm)],[37]) ).
fof(39,plain,
! [X8,X9,X10,X11] :
( ( ~ iext(X8,X9,X11)
| ~ iext(X8,X10,X11)
| X9 = X10
| ~ icext(uri_owl_InverseFunctionalProperty,X8) )
& ( ip(X8)
| ~ icext(uri_owl_InverseFunctionalProperty,X8) )
& ( iext(X8,esk2_1(X8),esk4_1(X8))
| ~ ip(X8)
| icext(uri_owl_InverseFunctionalProperty,X8) )
& ( iext(X8,esk3_1(X8),esk4_1(X8))
| ~ ip(X8)
| icext(uri_owl_InverseFunctionalProperty,X8) )
& ( esk2_1(X8) != esk3_1(X8)
| ~ ip(X8)
| icext(uri_owl_InverseFunctionalProperty,X8) ) ),
inference(distribute,[status(thm)],[38]) ).
cnf(40,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1)
| esk2_1(X1) != esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(41,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk3_1(X1),esk4_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(42,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk2_1(X1),esk4_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(45,plain,
? [X9] :
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X9)
& iext(uri_rdf_type,X9,uri_owl_Restriction)
& iext(uri_owl_onProperty,X9,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,X9,uri_owl_FunctionalProperty) ),
inference(variable_rename,[status(thm)],[6]) ).
fof(46,plain,
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk5_0)
& iext(uri_rdf_type,esk5_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk5_0,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,esk5_0,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa)],[45]) ).
cnf(47,plain,
iext(uri_owl_someValuesFrom,esk5_0,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(48,plain,
iext(uri_owl_onProperty,esk5_0,uri_owl_inverseOf),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(50,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk5_0),
inference(split_conjunct,[status(thm)],[46]) ).
fof(51,plain,
! [X9,X10] :
( ( ~ iext(uri_owl_inverseOf,X9,X10)
| ( ip(X9)
& ip(X10)
& ! [X1,X2] :
( ( ~ iext(X9,X1,X2)
| iext(X10,X2,X1) )
& ( ~ iext(X10,X2,X1)
| iext(X9,X1,X2) ) ) ) )
& ( ~ ip(X9)
| ~ ip(X10)
| ? [X1,X2] :
( ( ~ iext(X9,X1,X2)
| ~ iext(X10,X2,X1) )
& ( iext(X9,X1,X2)
| iext(X10,X2,X1) ) )
| iext(uri_owl_inverseOf,X9,X10) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(52,plain,
! [X11,X12] :
( ( ~ iext(uri_owl_inverseOf,X11,X12)
| ( ip(X11)
& ip(X12)
& ! [X13,X14] :
( ( ~ iext(X11,X13,X14)
| iext(X12,X14,X13) )
& ( ~ iext(X12,X14,X13)
| iext(X11,X13,X14) ) ) ) )
& ( ~ ip(X11)
| ~ ip(X12)
| ? [X15,X16] :
( ( ~ iext(X11,X15,X16)
| ~ iext(X12,X16,X15) )
& ( iext(X11,X15,X16)
| iext(X12,X16,X15) ) )
| iext(uri_owl_inverseOf,X11,X12) ) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X11,X12] :
( ( ~ iext(uri_owl_inverseOf,X11,X12)
| ( ip(X11)
& ip(X12)
& ! [X13,X14] :
( ( ~ iext(X11,X13,X14)
| iext(X12,X14,X13) )
& ( ~ iext(X12,X14,X13)
| iext(X11,X13,X14) ) ) ) )
& ( ~ ip(X11)
| ~ ip(X12)
| ( ( ~ iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
| ~ iext(X12,esk7_2(X11,X12),esk6_2(X11,X12)) )
& ( iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
| iext(X12,esk7_2(X11,X12),esk6_2(X11,X12)) ) )
| iext(uri_owl_inverseOf,X11,X12) ) ),
inference(skolemize,[status(esa)],[52]) ).
fof(54,plain,
! [X11,X12,X13,X14] :
( ( ( ( ~ iext(X11,X13,X14)
| iext(X12,X14,X13) )
& ( ~ iext(X12,X14,X13)
| iext(X11,X13,X14) )
& ip(X11)
& ip(X12) )
| ~ iext(uri_owl_inverseOf,X11,X12) )
& ( ~ ip(X11)
| ~ ip(X12)
| ( ( ~ iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
| ~ iext(X12,esk7_2(X11,X12),esk6_2(X11,X12)) )
& ( iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
| iext(X12,esk7_2(X11,X12),esk6_2(X11,X12)) ) )
| iext(uri_owl_inverseOf,X11,X12) ) ),
inference(shift_quantors,[status(thm)],[53]) ).
fof(55,plain,
! [X11,X12,X13,X14] :
( ( ~ iext(X11,X13,X14)
| iext(X12,X14,X13)
| ~ iext(uri_owl_inverseOf,X11,X12) )
& ( ~ iext(X12,X14,X13)
| iext(X11,X13,X14)
| ~ iext(uri_owl_inverseOf,X11,X12) )
& ( ip(X11)
| ~ iext(uri_owl_inverseOf,X11,X12) )
& ( ip(X12)
| ~ iext(uri_owl_inverseOf,X11,X12) )
& ( ~ iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
| ~ iext(X12,esk7_2(X11,X12),esk6_2(X11,X12))
| ~ ip(X11)
| ~ ip(X12)
| iext(uri_owl_inverseOf,X11,X12) )
& ( iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
| iext(X12,esk7_2(X11,X12),esk6_2(X11,X12))
| ~ ip(X11)
| ~ ip(X12)
| iext(uri_owl_inverseOf,X11,X12) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(61,plain,
( iext(X2,X3,X4)
| ~ iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(62,plain,
! [X5] :
( ( ~ icext(uri_owl_FunctionalProperty,X5)
| ( ip(X5)
& ! [X1,X11,X12] :
( ~ iext(X5,X1,X11)
| ~ iext(X5,X1,X12)
| X11 = X12 ) ) )
& ( ~ ip(X5)
| ? [X1,X11,X12] :
( iext(X5,X1,X11)
& iext(X5,X1,X12)
& X11 != X12 )
| icext(uri_owl_FunctionalProperty,X5) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(63,plain,
! [X13] :
( ( ~ icext(uri_owl_FunctionalProperty,X13)
| ( ip(X13)
& ! [X14,X15,X16] :
( ~ iext(X13,X14,X15)
| ~ iext(X13,X14,X16)
| X15 = X16 ) ) )
& ( ~ ip(X13)
| ? [X17,X18,X19] :
( iext(X13,X17,X18)
& iext(X13,X17,X19)
& X18 != X19 )
| icext(uri_owl_FunctionalProperty,X13) ) ),
inference(variable_rename,[status(thm)],[62]) ).
fof(64,plain,
! [X13] :
( ( ~ icext(uri_owl_FunctionalProperty,X13)
| ( ip(X13)
& ! [X14,X15,X16] :
( ~ iext(X13,X14,X15)
| ~ iext(X13,X14,X16)
| X15 = X16 ) ) )
& ( ~ ip(X13)
| ( iext(X13,esk8_1(X13),esk9_1(X13))
& iext(X13,esk8_1(X13),esk10_1(X13))
& esk9_1(X13) != esk10_1(X13) )
| icext(uri_owl_FunctionalProperty,X13) ) ),
inference(skolemize,[status(esa)],[63]) ).
fof(65,plain,
! [X13,X14,X15,X16] :
( ( ( ( ~ iext(X13,X14,X15)
| ~ iext(X13,X14,X16)
| X15 = X16 )
& ip(X13) )
| ~ icext(uri_owl_FunctionalProperty,X13) )
& ( ~ ip(X13)
| ( iext(X13,esk8_1(X13),esk9_1(X13))
& iext(X13,esk8_1(X13),esk10_1(X13))
& esk9_1(X13) != esk10_1(X13) )
| icext(uri_owl_FunctionalProperty,X13) ) ),
inference(shift_quantors,[status(thm)],[64]) ).
fof(66,plain,
! [X13,X14,X15,X16] :
( ( ~ iext(X13,X14,X15)
| ~ iext(X13,X14,X16)
| X15 = X16
| ~ icext(uri_owl_FunctionalProperty,X13) )
& ( ip(X13)
| ~ icext(uri_owl_FunctionalProperty,X13) )
& ( iext(X13,esk8_1(X13),esk9_1(X13))
| ~ ip(X13)
| icext(uri_owl_FunctionalProperty,X13) )
& ( iext(X13,esk8_1(X13),esk10_1(X13))
| ~ ip(X13)
| icext(uri_owl_FunctionalProperty,X13) )
& ( esk9_1(X13) != esk10_1(X13)
| ~ ip(X13)
| icext(uri_owl_FunctionalProperty,X13) ) ),
inference(distribute,[status(thm)],[65]) ).
cnf(71,plain,
( X2 = X3
| ~ icext(uri_owl_FunctionalProperty,X1)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(72,plain,
! [X13,X5,X14] :
( ~ iext(uri_owl_someValuesFrom,X13,X14)
| ~ iext(uri_owl_onProperty,X13,X5)
| ! [X1] :
( ( ~ icext(X13,X1)
| ? [X2] :
( iext(X5,X1,X2)
& icext(X14,X2) ) )
& ( ! [X2] :
( ~ iext(X5,X1,X2)
| ~ icext(X14,X2) )
| icext(X13,X1) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(73,plain,
! [X15,X16,X17] :
( ~ iext(uri_owl_someValuesFrom,X15,X17)
| ~ iext(uri_owl_onProperty,X15,X16)
| ! [X18] :
( ( ~ icext(X15,X18)
| ? [X19] :
( iext(X16,X18,X19)
& icext(X17,X19) ) )
& ( ! [X20] :
( ~ iext(X16,X18,X20)
| ~ icext(X17,X20) )
| icext(X15,X18) ) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,plain,
! [X15,X16,X17] :
( ~ iext(uri_owl_someValuesFrom,X15,X17)
| ~ iext(uri_owl_onProperty,X15,X16)
| ! [X18] :
( ( ~ icext(X15,X18)
| ( iext(X16,X18,esk11_4(X15,X16,X17,X18))
& icext(X17,esk11_4(X15,X16,X17,X18)) ) )
& ( ! [X20] :
( ~ iext(X16,X18,X20)
| ~ icext(X17,X20) )
| icext(X15,X18) ) ) ),
inference(skolemize,[status(esa)],[73]) ).
fof(75,plain,
! [X15,X16,X17,X18,X20] :
( ( ( ~ iext(X16,X18,X20)
| ~ icext(X17,X20)
| icext(X15,X18) )
& ( ~ icext(X15,X18)
| ( iext(X16,X18,esk11_4(X15,X16,X17,X18))
& icext(X17,esk11_4(X15,X16,X17,X18)) ) ) )
| ~ iext(uri_owl_someValuesFrom,X15,X17)
| ~ iext(uri_owl_onProperty,X15,X16) ),
inference(shift_quantors,[status(thm)],[74]) ).
fof(76,plain,
! [X15,X16,X17,X18,X20] :
( ( ~ iext(X16,X18,X20)
| ~ icext(X17,X20)
| icext(X15,X18)
| ~ iext(uri_owl_someValuesFrom,X15,X17)
| ~ iext(uri_owl_onProperty,X15,X16) )
& ( iext(X16,X18,esk11_4(X15,X16,X17,X18))
| ~ icext(X15,X18)
| ~ iext(uri_owl_someValuesFrom,X15,X17)
| ~ iext(uri_owl_onProperty,X15,X16) )
& ( icext(X17,esk11_4(X15,X16,X17,X18))
| ~ icext(X15,X18)
| ~ iext(uri_owl_someValuesFrom,X15,X17)
| ~ iext(uri_owl_onProperty,X15,X16) ) ),
inference(distribute,[status(thm)],[75]) ).
cnf(77,plain,
( icext(X3,esk11_4(X1,X2,X3,X4))
| ~ iext(uri_owl_onProperty,X1,X2)
| ~ iext(uri_owl_someValuesFrom,X1,X3)
| ~ icext(X1,X4) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(78,plain,
( iext(X2,X4,esk11_4(X1,X2,X3,X4))
| ~ iext(uri_owl_onProperty,X1,X2)
| ~ iext(uri_owl_someValuesFrom,X1,X3)
| ~ icext(X1,X4) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(80,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[13]) ).
fof(81,plain,
! [X3,X4] :
( ( ~ iext(uri_owl_equivalentClass,X3,X4)
| ( ic(X3)
& ic(X4)
& ! [X1] :
( ( ~ icext(X3,X1)
| icext(X4,X1) )
& ( ~ icext(X4,X1)
| icext(X3,X1) ) ) ) )
& ( ~ ic(X3)
| ~ ic(X4)
| ? [X1] :
( ( ~ icext(X3,X1)
| ~ icext(X4,X1) )
& ( icext(X3,X1)
| icext(X4,X1) ) )
| iext(uri_owl_equivalentClass,X3,X4) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(82,plain,
! [X5,X6] :
( ( ~ iext(uri_owl_equivalentClass,X5,X6)
| ( ic(X5)
& ic(X6)
& ! [X7] :
( ( ~ icext(X5,X7)
| icext(X6,X7) )
& ( ~ icext(X6,X7)
| icext(X5,X7) ) ) ) )
& ( ~ ic(X5)
| ~ ic(X6)
| ? [X8] :
( ( ~ icext(X5,X8)
| ~ icext(X6,X8) )
& ( icext(X5,X8)
| icext(X6,X8) ) )
| iext(uri_owl_equivalentClass,X5,X6) ) ),
inference(variable_rename,[status(thm)],[81]) ).
fof(83,plain,
! [X5,X6] :
( ( ~ iext(uri_owl_equivalentClass,X5,X6)
| ( ic(X5)
& ic(X6)
& ! [X7] :
( ( ~ icext(X5,X7)
| icext(X6,X7) )
& ( ~ icext(X6,X7)
| icext(X5,X7) ) ) ) )
& ( ~ ic(X5)
| ~ ic(X6)
| ( ( ~ icext(X5,esk12_2(X5,X6))
| ~ icext(X6,esk12_2(X5,X6)) )
& ( icext(X5,esk12_2(X5,X6))
| icext(X6,esk12_2(X5,X6)) ) )
| iext(uri_owl_equivalentClass,X5,X6) ) ),
inference(skolemize,[status(esa)],[82]) ).
fof(84,plain,
! [X5,X6,X7] :
( ( ( ( ~ icext(X5,X7)
| icext(X6,X7) )
& ( ~ icext(X6,X7)
| icext(X5,X7) )
& ic(X5)
& ic(X6) )
| ~ iext(uri_owl_equivalentClass,X5,X6) )
& ( ~ ic(X5)
| ~ ic(X6)
| ( ( ~ icext(X5,esk12_2(X5,X6))
| ~ icext(X6,esk12_2(X5,X6)) )
& ( icext(X5,esk12_2(X5,X6))
| icext(X6,esk12_2(X5,X6)) ) )
| iext(uri_owl_equivalentClass,X5,X6) ) ),
inference(shift_quantors,[status(thm)],[83]) ).
fof(85,plain,
! [X5,X6,X7] :
( ( ~ icext(X5,X7)
| icext(X6,X7)
| ~ iext(uri_owl_equivalentClass,X5,X6) )
& ( ~ icext(X6,X7)
| icext(X5,X7)
| ~ iext(uri_owl_equivalentClass,X5,X6) )
& ( ic(X5)
| ~ iext(uri_owl_equivalentClass,X5,X6) )
& ( ic(X6)
| ~ iext(uri_owl_equivalentClass,X5,X6) )
& ( ~ icext(X5,esk12_2(X5,X6))
| ~ icext(X6,esk12_2(X5,X6))
| ~ ic(X5)
| ~ ic(X6)
| iext(uri_owl_equivalentClass,X5,X6) )
& ( icext(X5,esk12_2(X5,X6))
| icext(X6,esk12_2(X5,X6))
| ~ ic(X5)
| ~ ic(X6)
| iext(uri_owl_equivalentClass,X5,X6) ) ),
inference(distribute,[status(thm)],[84]) ).
cnf(91,plain,
( icext(X2,X3)
| ~ iext(uri_owl_equivalentClass,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(93,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(spm,[status(thm)],[18,50,theory(equality)]) ).
cnf(94,plain,
( icext(esk5_0,X1)
| ~ icext(uri_ex_InversesOfFunctionalProperties,X1) ),
inference(spm,[status(thm)],[91,50,theory(equality)]) ).
cnf(156,plain,
( ip(X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_onProperty,X2,uri_owl_inverseOf)
| ~ iext(uri_owl_someValuesFrom,X2,X3) ),
inference(spm,[status(thm)],[34,78,theory(equality)]) ).
cnf(157,plain,
( iext(esk11_4(X1,uri_owl_inverseOf,X2,X3),X4,X5)
| ~ iext(X3,X5,X4)
| ~ icext(X1,X3)
| ~ iext(uri_owl_onProperty,X1,uri_owl_inverseOf)
| ~ iext(uri_owl_someValuesFrom,X1,X2) ),
inference(spm,[status(thm)],[61,78,theory(equality)]) ).
cnf(164,plain,
( X1 = X2
| ~ iext(esk11_4(X3,X4,uri_owl_FunctionalProperty,X5),X6,X2)
| ~ iext(esk11_4(X3,X4,uri_owl_FunctionalProperty,X5),X6,X1)
| ~ icext(X3,X5)
| ~ iext(uri_owl_onProperty,X3,X4)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty) ),
inference(spm,[status(thm)],[71,77,theory(equality)]) ).
cnf(177,plain,
( icext(esk5_0,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| ~ ic(X1)
| ~ ic(uri_ex_InversesOfFunctionalProperties) ),
inference(spm,[status(thm)],[94,26,theory(equality)]) ).
cnf(179,plain,
( icext(esk5_0,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| ~ ic(X1)
| $false ),
inference(rw,[status(thm)],[177,93,theory(equality)]) ).
cnf(180,plain,
( icext(esk5_0,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| ~ ic(X1) ),
inference(cn,[status(thm)],[179,theory(equality)]) ).
cnf(324,plain,
( ip(X1)
| ~ icext(esk5_0,X1)
| ~ iext(uri_owl_onProperty,esk5_0,uri_owl_inverseOf) ),
inference(spm,[status(thm)],[156,47,theory(equality)]) ).
cnf(330,plain,
( ip(X1)
| ~ icext(esk5_0,X1)
| $false ),
inference(rw,[status(thm)],[324,48,theory(equality)]) ).
cnf(331,plain,
( ip(X1)
| ~ icext(esk5_0,X1) ),
inference(cn,[status(thm)],[330,theory(equality)]) ).
cnf(750,plain,
( X1 = X2
| ~ icext(X3,X4)
| ~ iext(esk11_4(X3,uri_owl_inverseOf,uri_owl_FunctionalProperty,X4),X5,X1)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(X4,X2,X5) ),
inference(spm,[status(thm)],[164,157,theory(equality)]) ).
cnf(1278,plain,
( X1 = X2
| ~ icext(X3,X4)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(X4,X2,X5)
| ~ iext(X4,X1,X5) ),
inference(spm,[status(thm)],[750,157,theory(equality)]) ).
cnf(1292,plain,
( X1 = esk2_1(X2)
| icext(uri_owl_InverseFunctionalProperty,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(X2,X1,esk4_1(X2))
| ~ ip(X2) ),
inference(spm,[status(thm)],[1278,42,theory(equality)]) ).
cnf(1386,plain,
( X1 = esk2_1(X2)
| icext(uri_owl_InverseFunctionalProperty,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_someValuesFrom,X3,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X3,uri_owl_inverseOf)
| ~ iext(X2,X1,esk4_1(X2)) ),
inference(csr,[status(thm)],[1292,156]) ).
cnf(1387,plain,
( esk3_1(X1) = esk2_1(X1)
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_someValuesFrom,X2,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X2,uri_owl_inverseOf)
| ~ ip(X1) ),
inference(spm,[status(thm)],[1386,41,theory(equality)]) ).
cnf(1424,plain,
( esk3_1(X1) = esk2_1(X1)
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_someValuesFrom,X2,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,X2,uri_owl_inverseOf) ),
inference(csr,[status(thm)],[1387,156]) ).
cnf(1428,plain,
( esk3_1(esk1_2(uri_ex_InversesOfFunctionalProperties,X1)) = esk2_1(esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| icext(uri_owl_InverseFunctionalProperty,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| ~ iext(uri_owl_someValuesFrom,esk5_0,uri_owl_FunctionalProperty)
| ~ iext(uri_owl_onProperty,esk5_0,uri_owl_inverseOf)
| ~ ic(X1) ),
inference(spm,[status(thm)],[1424,180,theory(equality)]) ).
cnf(1455,plain,
( esk3_1(esk1_2(uri_ex_InversesOfFunctionalProperties,X1)) = esk2_1(esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| icext(uri_owl_InverseFunctionalProperty,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| $false
| ~ iext(uri_owl_onProperty,esk5_0,uri_owl_inverseOf)
| ~ ic(X1) ),
inference(rw,[status(thm)],[1428,47,theory(equality)]) ).
cnf(1456,plain,
( esk3_1(esk1_2(uri_ex_InversesOfFunctionalProperties,X1)) = esk2_1(esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| icext(uri_owl_InverseFunctionalProperty,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| $false
| $false
| ~ ic(X1) ),
inference(rw,[status(thm)],[1455,48,theory(equality)]) ).
cnf(1457,plain,
( esk3_1(esk1_2(uri_ex_InversesOfFunctionalProperties,X1)) = esk2_1(esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| icext(uri_owl_InverseFunctionalProperty,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| ~ ic(X1) ),
inference(cn,[status(thm)],[1456,theory(equality)]) ).
cnf(1637,plain,
( icext(uri_owl_InverseFunctionalProperty,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| ~ ip(esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| ~ ic(X1) ),
inference(spm,[status(thm)],[40,1457,theory(equality)]) ).
cnf(1642,plain,
( icext(uri_owl_InverseFunctionalProperty,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| ~ ic(X1)
| ~ icext(esk5_0,esk1_2(uri_ex_InversesOfFunctionalProperties,X1)) ),
inference(spm,[status(thm)],[1637,331,theory(equality)]) ).
cnf(1656,plain,
( icext(uri_owl_InverseFunctionalProperty,esk1_2(uri_ex_InversesOfFunctionalProperties,X1))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X1)
| ~ ic(X1) ),
inference(csr,[status(thm)],[1642,180]) ).
cnf(1658,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties) ),
inference(spm,[status(thm)],[25,1656,theory(equality)]) ).
cnf(1662,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| $false
| ~ ic(uri_ex_InversesOfFunctionalProperties) ),
inference(rw,[status(thm)],[1658,19,theory(equality)]) ).
cnf(1663,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| $false
| $false ),
inference(rw,[status(thm)],[1662,93,theory(equality)]) ).
cnf(1664,plain,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(cn,[status(thm)],[1663,theory(equality)]) ).
cnf(1665,plain,
$false,
inference(sr,[status(thm)],[1664,80,theory(equality)]) ).
cnf(1666,plain,
$false,
1665,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB028+2.p
% --creating new selector for []
% -running prover on /tmp/tmpetihEh/sel_SWB028+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB028+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB028+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB028+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
%
%------------------------------------------------------------------------------