TSTP Solution File: SWB023+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB023+2 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 23:55:16 EST 2011
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 13 unt; 0 def)
% Number of atoms : 248 ( 50 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 315 ( 118 ~; 122 |; 68 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 60 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
file('/tmp/tmpcPxkN6/sel_SWB023+2.p_1',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(2,axiom,
? [X1,X2] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,X1)
& iext(uri_rdf_type,X1,uri_owl_Class)
& iext(uri_owl_oneOf,X1,X2)
& iext(uri_rdf_first,X2,uri_ex_u)
& iext(uri_rdf_first,X2,uri_ex_v)
& iext(uri_rdf_rest,X2,uri_rdf_nil) ),
file('/tmp/tmpcPxkN6/sel_SWB023+2.p_1',testcase_premise_fullish_023_Unique_List_Components) ).
fof(3,axiom,
! [X3,X4,X5] :
( ( iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X3,X4)
<=> ( ic(X3)
& ! [X6] :
( icext(X3,X6)
<=> X6 = X5 ) ) ) ),
file('/tmp/tmpcPxkN6/sel_SWB023+2.p_1',owl_enum_class_001) ).
fof(4,axiom,
! [X7] :
( icext(uri_owl_FunctionalProperty,X7)
<=> ( ip(X7)
& ! [X6,X8,X9] :
( ( iext(X7,X6,X8)
& iext(X7,X6,X9) )
=> X8 = X9 ) ) ),
file('/tmp/tmpcPxkN6/sel_SWB023+2.p_1',owl_char_functional) ).
fof(5,axiom,
! [X6,X10] :
( iext(uri_owl_sameAs,X6,X10)
<=> X6 = X10 ),
file('/tmp/tmpcPxkN6/sel_SWB023+2.p_1',owl_eqdis_sameas) ).
fof(6,axiom,
! [X6,X11] :
( iext(uri_rdf_type,X6,X11)
<=> icext(X11,X6) ),
file('/tmp/tmpcPxkN6/sel_SWB023+2.p_1',rdfs_cext_def) ).
fof(7,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(8,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(fof_nnf,[status(thm)],[7]) ).
cnf(9,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(split_conjunct,[status(thm)],[8]) ).
fof(10,plain,
? [X3,X4] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,X3)
& iext(uri_rdf_type,X3,uri_owl_Class)
& iext(uri_owl_oneOf,X3,X4)
& iext(uri_rdf_first,X4,uri_ex_u)
& iext(uri_rdf_first,X4,uri_ex_v)
& iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[2]) ).
fof(11,plain,
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,esk1_0)
& iext(uri_rdf_type,esk1_0,uri_owl_Class)
& iext(uri_owl_oneOf,esk1_0,esk2_0)
& iext(uri_rdf_first,esk2_0,uri_ex_u)
& iext(uri_rdf_first,esk2_0,uri_ex_v)
& iext(uri_rdf_rest,esk2_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[10]) ).
cnf(12,plain,
iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(13,plain,
iext(uri_rdf_first,esk2_0,uri_ex_v),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(14,plain,
iext(uri_rdf_first,esk2_0,uri_ex_u),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(15,plain,
iext(uri_owl_oneOf,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(17,plain,
iext(uri_rdf_type,uri_ex_w,esk1_0),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(18,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[11]) ).
fof(19,plain,
! [X3,X4,X5] :
( ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X3,X4)
| ( ic(X3)
& ! [X6] :
( ( ~ icext(X3,X6)
| X6 = X5 )
& ( X6 != X5
| icext(X3,X6) ) ) ) )
& ( ~ ic(X3)
| ? [X6] :
( ( ~ icext(X3,X6)
| X6 != X5 )
& ( icext(X3,X6)
| X6 = X5 ) )
| iext(uri_owl_oneOf,X3,X4) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(20,plain,
! [X7,X8,X9] :
( ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X7,X8)
| ( ic(X7)
& ! [X10] :
( ( ~ icext(X7,X10)
| X10 = X9 )
& ( X10 != X9
| icext(X7,X10) ) ) ) )
& ( ~ ic(X7)
| ? [X11] :
( ( ~ icext(X7,X11)
| X11 != X9 )
& ( icext(X7,X11)
| X11 = X9 ) )
| iext(uri_owl_oneOf,X7,X8) ) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,plain,
! [X7,X8,X9] :
( ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X7,X8)
| ( ic(X7)
& ! [X10] :
( ( ~ icext(X7,X10)
| X10 = X9 )
& ( X10 != X9
| icext(X7,X10) ) ) ) )
& ( ~ ic(X7)
| ( ( ~ icext(X7,esk3_3(X7,X8,X9))
| esk3_3(X7,X8,X9) != X9 )
& ( icext(X7,esk3_3(X7,X8,X9))
| esk3_3(X7,X8,X9) = X9 ) )
| iext(uri_owl_oneOf,X7,X8) ) ) ),
inference(skolemize,[status(esa)],[20]) ).
fof(22,plain,
! [X7,X8,X9,X10] :
( ( ( ( ( ~ icext(X7,X10)
| X10 = X9 )
& ( X10 != X9
| icext(X7,X10) )
& ic(X7) )
| ~ iext(uri_owl_oneOf,X7,X8) )
& ( ~ ic(X7)
| ( ( ~ icext(X7,esk3_3(X7,X8,X9))
| esk3_3(X7,X8,X9) != X9 )
& ( icext(X7,esk3_3(X7,X8,X9))
| esk3_3(X7,X8,X9) = X9 ) )
| iext(uri_owl_oneOf,X7,X8) ) )
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[21]) ).
fof(23,plain,
! [X7,X8,X9,X10] :
( ( ~ icext(X7,X10)
| X10 = X9
| ~ iext(uri_owl_oneOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) )
& ( X10 != X9
| icext(X7,X10)
| ~ iext(uri_owl_oneOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) )
& ( ic(X7)
| ~ iext(uri_owl_oneOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) )
& ( ~ icext(X7,esk3_3(X7,X8,X9))
| esk3_3(X7,X8,X9) != X9
| ~ ic(X7)
| iext(uri_owl_oneOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) )
& ( icext(X7,esk3_3(X7,X8,X9))
| esk3_3(X7,X8,X9) = X9
| ~ ic(X7)
| iext(uri_owl_oneOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(28,plain,
( X4 = X2
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X3,X1)
| ~ icext(X3,X4) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(29,plain,
! [X7] :
( ( ~ icext(uri_owl_FunctionalProperty,X7)
| ( ip(X7)
& ! [X6,X8,X9] :
( ~ iext(X7,X6,X8)
| ~ iext(X7,X6,X9)
| X8 = X9 ) ) )
& ( ~ ip(X7)
| ? [X6,X8,X9] :
( iext(X7,X6,X8)
& iext(X7,X6,X9)
& X8 != X9 )
| icext(uri_owl_FunctionalProperty,X7) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(30,plain,
! [X10] :
( ( ~ icext(uri_owl_FunctionalProperty,X10)
| ( ip(X10)
& ! [X11,X12,X13] :
( ~ iext(X10,X11,X12)
| ~ iext(X10,X11,X13)
| X12 = X13 ) ) )
& ( ~ ip(X10)
| ? [X14,X15,X16] :
( iext(X10,X14,X15)
& iext(X10,X14,X16)
& X15 != X16 )
| icext(uri_owl_FunctionalProperty,X10) ) ),
inference(variable_rename,[status(thm)],[29]) ).
fof(31,plain,
! [X10] :
( ( ~ icext(uri_owl_FunctionalProperty,X10)
| ( ip(X10)
& ! [X11,X12,X13] :
( ~ iext(X10,X11,X12)
| ~ iext(X10,X11,X13)
| X12 = X13 ) ) )
& ( ~ ip(X10)
| ( iext(X10,esk4_1(X10),esk5_1(X10))
& iext(X10,esk4_1(X10),esk6_1(X10))
& esk5_1(X10) != esk6_1(X10) )
| icext(uri_owl_FunctionalProperty,X10) ) ),
inference(skolemize,[status(esa)],[30]) ).
fof(32,plain,
! [X10,X11,X12,X13] :
( ( ( ( ~ iext(X10,X11,X12)
| ~ iext(X10,X11,X13)
| X12 = X13 )
& ip(X10) )
| ~ icext(uri_owl_FunctionalProperty,X10) )
& ( ~ ip(X10)
| ( iext(X10,esk4_1(X10),esk5_1(X10))
& iext(X10,esk4_1(X10),esk6_1(X10))
& esk5_1(X10) != esk6_1(X10) )
| icext(uri_owl_FunctionalProperty,X10) ) ),
inference(shift_quantors,[status(thm)],[31]) ).
fof(33,plain,
! [X10,X11,X12,X13] :
( ( ~ iext(X10,X11,X12)
| ~ iext(X10,X11,X13)
| X12 = X13
| ~ icext(uri_owl_FunctionalProperty,X10) )
& ( ip(X10)
| ~ icext(uri_owl_FunctionalProperty,X10) )
& ( iext(X10,esk4_1(X10),esk5_1(X10))
| ~ ip(X10)
| icext(uri_owl_FunctionalProperty,X10) )
& ( iext(X10,esk4_1(X10),esk6_1(X10))
| ~ ip(X10)
| icext(uri_owl_FunctionalProperty,X10) )
& ( esk5_1(X10) != esk6_1(X10)
| ~ ip(X10)
| icext(uri_owl_FunctionalProperty,X10) ) ),
inference(distribute,[status(thm)],[32]) ).
cnf(38,plain,
( X2 = X3
| ~ icext(uri_owl_FunctionalProperty,X1)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(39,plain,
! [X6,X10] :
( ( ~ iext(uri_owl_sameAs,X6,X10)
| X6 = X10 )
& ( X6 != X10
| iext(uri_owl_sameAs,X6,X10) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(40,plain,
! [X11,X12] :
( ( ~ iext(uri_owl_sameAs,X11,X12)
| X11 = X12 )
& ( X11 != X12
| iext(uri_owl_sameAs,X11,X12) ) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( iext(uri_owl_sameAs,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(43,plain,
! [X6,X11] :
( ( ~ iext(uri_rdf_type,X6,X11)
| icext(X11,X6) )
& ( ~ icext(X11,X6)
| iext(uri_rdf_type,X6,X11) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(44,plain,
! [X12,X13] :
( ( ~ iext(uri_rdf_type,X12,X13)
| icext(X13,X12) )
& ( ~ icext(X13,X12)
| iext(uri_rdf_type,X12,X13) ) ),
inference(variable_rename,[status(thm)],[43]) ).
cnf(46,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(47,plain,
iext(uri_owl_sameAs,X1,X1),
inference(er,[status(thm)],[41,theory(equality)]) ).
cnf(49,plain,
( X1 = X2
| ~ iext(X3,X4,X2)
| ~ iext(X3,X4,X1)
| ~ iext(uri_rdf_type,X3,uri_owl_FunctionalProperty) ),
inference(spm,[status(thm)],[38,46,theory(equality)]) ).
cnf(54,plain,
( X1 = X2
| ~ icext(X3,X2)
| ~ iext(uri_rdf_first,esk2_0,X1)
| ~ iext(uri_owl_oneOf,X3,esk2_0) ),
inference(spm,[status(thm)],[28,12,theory(equality)]) ).
cnf(63,plain,
( X1 = X2
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X3,X1) ),
inference(spm,[status(thm)],[49,18,theory(equality)]) ).
cnf(69,plain,
( X1 = uri_ex_u
| ~ iext(uri_rdf_first,esk2_0,X1) ),
inference(spm,[status(thm)],[63,14,theory(equality)]) ).
cnf(73,plain,
uri_ex_v = uri_ex_u,
inference(spm,[status(thm)],[69,13,theory(equality)]) ).
cnf(76,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(rw,[status(thm)],[9,73,theory(equality)]) ).
cnf(77,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(cn,[status(thm)],[76,theory(equality)]) ).
cnf(78,plain,
( uri_ex_u = X1
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk2_0) ),
inference(spm,[status(thm)],[54,14,theory(equality)]) ).
cnf(79,plain,
( uri_ex_u = X1
| ~ iext(uri_owl_oneOf,X2,esk2_0)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(spm,[status(thm)],[78,46,theory(equality)]) ).
cnf(82,plain,
( uri_ex_u = uri_ex_w
| ~ iext(uri_owl_oneOf,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[79,17,theory(equality)]) ).
cnf(87,plain,
( uri_ex_u = uri_ex_w
| $false ),
inference(rw,[status(thm)],[82,15,theory(equality)]) ).
cnf(88,plain,
uri_ex_u = uri_ex_w,
inference(cn,[status(thm)],[87,theory(equality)]) ).
cnf(92,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[77,88,theory(equality)]),47,theory(equality)]) ).
cnf(93,negated_conjecture,
$false,
inference(cn,[status(thm)],[92,theory(equality)]) ).
cnf(94,negated_conjecture,
$false,
93,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB023+2.p
% --creating new selector for []
% -running prover on /tmp/tmpcPxkN6/sel_SWB023+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB023+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB023+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB023+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
%
%------------------------------------------------------------------------------