TSTP Solution File: SWB023+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB023+1 : 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 23:55:11 EST 2011
% Result : Theorem 0.33s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 13 unt; 0 def)
% Number of atoms : 249 ( 50 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 317 ( 119 ~; 123 |; 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 : 101 ( 0 sgn 60 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(20,axiom,
! [X5,X6,X12] :
( ( iext(uri_rdf_first,X6,X12)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X5,X6)
<=> ( ic(X5)
& ! [X1] :
( icext(X5,X1)
<=> X1 = X12 ) ) ) ),
file('/tmp/tmpVw_r2B/sel_SWB023+1.p_1',owl_enum_class_001) ).
fof(25,axiom,
! [X3] :
( icext(uri_owl_FunctionalProperty,X3)
<=> ( ip(X3)
& ! [X1,X15,X16] :
( ( iext(X3,X1,X15)
& iext(X3,X1,X16) )
=> X15 = X16 ) ) ),
file('/tmp/tmpVw_r2B/sel_SWB023+1.p_1',owl_char_functional) ).
fof(26,axiom,
! [X1,X2] :
( iext(uri_owl_sameAs,X1,X2)
<=> X1 = X2 ),
file('/tmp/tmpVw_r2B/sel_SWB023+1.p_1',owl_eqdis_sameas) ).
fof(43,axiom,
! [X1,X4] :
( iext(uri_rdf_type,X1,X4)
<=> icext(X4,X1) ),
file('/tmp/tmpVw_r2B/sel_SWB023+1.p_1',rdfs_cext_def) ).
fof(46,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
file('/tmp/tmpVw_r2B/sel_SWB023+1.p_1',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(47,axiom,
? [X19,X20] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,X19)
& iext(uri_rdf_type,X19,uri_owl_Class)
& iext(uri_owl_oneOf,X19,X20)
& iext(uri_rdf_first,X20,uri_ex_u)
& iext(uri_rdf_first,X20,uri_ex_v)
& iext(uri_rdf_rest,X20,uri_rdf_nil) ),
file('/tmp/tmpVw_r2B/sel_SWB023+1.p_1',testcase_premise_fullish_023_Unique_List_Components) ).
fof(48,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)],[46]) ).
fof(117,plain,
! [X5,X6,X12] :
( ~ iext(uri_rdf_first,X6,X12)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X5,X6)
| ( ic(X5)
& ! [X1] :
( ( ~ icext(X5,X1)
| X1 = X12 )
& ( X1 != X12
| icext(X5,X1) ) ) ) )
& ( ~ ic(X5)
| ? [X1] :
( ( ~ icext(X5,X1)
| X1 != X12 )
& ( icext(X5,X1)
| X1 = X12 ) )
| iext(uri_owl_oneOf,X5,X6) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(118,plain,
! [X13,X14,X15] :
( ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X13,X14)
| ( ic(X13)
& ! [X16] :
( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) ) ) ) )
& ( ~ ic(X13)
| ? [X17] :
( ( ~ icext(X13,X17)
| X17 != X15 )
& ( icext(X13,X17)
| X17 = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) ) ),
inference(variable_rename,[status(thm)],[117]) ).
fof(119,plain,
! [X13,X14,X15] :
( ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X13,X14)
| ( ic(X13)
& ! [X16] :
( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) ) ) ) )
& ( ~ ic(X13)
| ( ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15 )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) ) ),
inference(skolemize,[status(esa)],[118]) ).
fof(120,plain,
! [X13,X14,X15,X16] :
( ( ( ( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) )
& ic(X13) )
| ~ iext(uri_owl_oneOf,X13,X14) )
& ( ~ ic(X13)
| ( ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15 )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) )
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[119]) ).
fof(121,plain,
! [X13,X14,X15,X16] :
( ( ~ icext(X13,X16)
| X16 = X15
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( X16 != X15
| icext(X13,X16)
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( ic(X13)
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15
| ~ ic(X13)
| iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15
| ~ ic(X13)
| iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[120]) ).
cnf(126,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)],[121]) ).
fof(157,plain,
! [X3] :
( ( ~ icext(uri_owl_FunctionalProperty,X3)
| ( ip(X3)
& ! [X1,X15,X16] :
( ~ iext(X3,X1,X15)
| ~ iext(X3,X1,X16)
| X15 = X16 ) ) )
& ( ~ ip(X3)
| ? [X1,X15,X16] :
( iext(X3,X1,X15)
& iext(X3,X1,X16)
& X15 != X16 )
| icext(uri_owl_FunctionalProperty,X3) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(158,plain,
! [X17] :
( ( ~ icext(uri_owl_FunctionalProperty,X17)
| ( ip(X17)
& ! [X18,X19,X20] :
( ~ iext(X17,X18,X19)
| ~ iext(X17,X18,X20)
| X19 = X20 ) ) )
& ( ~ ip(X17)
| ? [X21,X22,X23] :
( iext(X17,X21,X22)
& iext(X17,X21,X23)
& X22 != X23 )
| icext(uri_owl_FunctionalProperty,X17) ) ),
inference(variable_rename,[status(thm)],[157]) ).
fof(159,plain,
! [X17] :
( ( ~ icext(uri_owl_FunctionalProperty,X17)
| ( ip(X17)
& ! [X18,X19,X20] :
( ~ iext(X17,X18,X19)
| ~ iext(X17,X18,X20)
| X19 = X20 ) ) )
& ( ~ ip(X17)
| ( iext(X17,esk8_1(X17),esk9_1(X17))
& iext(X17,esk8_1(X17),esk10_1(X17))
& esk9_1(X17) != esk10_1(X17) )
| icext(uri_owl_FunctionalProperty,X17) ) ),
inference(skolemize,[status(esa)],[158]) ).
fof(160,plain,
! [X17,X18,X19,X20] :
( ( ( ( ~ iext(X17,X18,X19)
| ~ iext(X17,X18,X20)
| X19 = X20 )
& ip(X17) )
| ~ icext(uri_owl_FunctionalProperty,X17) )
& ( ~ ip(X17)
| ( iext(X17,esk8_1(X17),esk9_1(X17))
& iext(X17,esk8_1(X17),esk10_1(X17))
& esk9_1(X17) != esk10_1(X17) )
| icext(uri_owl_FunctionalProperty,X17) ) ),
inference(shift_quantors,[status(thm)],[159]) ).
fof(161,plain,
! [X17,X18,X19,X20] :
( ( ~ iext(X17,X18,X19)
| ~ iext(X17,X18,X20)
| X19 = X20
| ~ icext(uri_owl_FunctionalProperty,X17) )
& ( ip(X17)
| ~ icext(uri_owl_FunctionalProperty,X17) )
& ( iext(X17,esk8_1(X17),esk9_1(X17))
| ~ ip(X17)
| icext(uri_owl_FunctionalProperty,X17) )
& ( iext(X17,esk8_1(X17),esk10_1(X17))
| ~ ip(X17)
| icext(uri_owl_FunctionalProperty,X17) )
& ( esk9_1(X17) != esk10_1(X17)
| ~ ip(X17)
| icext(uri_owl_FunctionalProperty,X17) ) ),
inference(distribute,[status(thm)],[160]) ).
cnf(166,plain,
( X2 = X3
| ~ icext(uri_owl_FunctionalProperty,X1)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[161]) ).
fof(167,plain,
! [X1,X2] :
( ( ~ iext(uri_owl_sameAs,X1,X2)
| X1 = X2 )
& ( X1 != X2
| iext(uri_owl_sameAs,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(168,plain,
! [X3,X4] :
( ( ~ iext(uri_owl_sameAs,X3,X4)
| X3 = X4 )
& ( X3 != X4
| iext(uri_owl_sameAs,X3,X4) ) ),
inference(variable_rename,[status(thm)],[167]) ).
cnf(169,plain,
( iext(uri_owl_sameAs,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[168]) ).
fof(224,plain,
! [X1,X4] :
( ( ~ iext(uri_rdf_type,X1,X4)
| icext(X4,X1) )
& ( ~ icext(X4,X1)
| iext(uri_rdf_type,X1,X4) ) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(225,plain,
! [X5,X6] :
( ( ~ iext(uri_rdf_type,X5,X6)
| icext(X6,X5) )
& ( ~ icext(X6,X5)
| iext(uri_rdf_type,X5,X6) ) ),
inference(variable_rename,[status(thm)],[224]) ).
cnf(227,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[225]) ).
fof(230,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)],[48]) ).
cnf(231,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)],[230]) ).
fof(232,plain,
? [X21,X22] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,X21)
& iext(uri_rdf_type,X21,uri_owl_Class)
& iext(uri_owl_oneOf,X21,X22)
& iext(uri_rdf_first,X22,uri_ex_u)
& iext(uri_rdf_first,X22,uri_ex_v)
& iext(uri_rdf_rest,X22,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[47]) ).
fof(233,plain,
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,esk13_0)
& iext(uri_rdf_type,esk13_0,uri_owl_Class)
& iext(uri_owl_oneOf,esk13_0,esk14_0)
& iext(uri_rdf_first,esk14_0,uri_ex_u)
& iext(uri_rdf_first,esk14_0,uri_ex_v)
& iext(uri_rdf_rest,esk14_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[232]) ).
cnf(234,plain,
iext(uri_rdf_rest,esk14_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(235,plain,
iext(uri_rdf_first,esk14_0,uri_ex_v),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(236,plain,
iext(uri_rdf_first,esk14_0,uri_ex_u),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(237,plain,
iext(uri_owl_oneOf,esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(239,plain,
iext(uri_rdf_type,uri_ex_w,esk13_0),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(240,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(259,plain,
iext(uri_owl_sameAs,X1,X1),
inference(er,[status(thm)],[169,theory(equality)]) ).
cnf(306,plain,
( X1 = X2
| ~ iext(X3,X4,X2)
| ~ iext(X3,X4,X1)
| ~ iext(uri_rdf_type,X3,uri_owl_FunctionalProperty) ),
inference(spm,[status(thm)],[166,227,theory(equality)]) ).
cnf(398,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| ~ iext(uri_rdf_rest,esk14_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk14_0,X1) ),
inference(spm,[status(thm)],[126,237,theory(equality)]) ).
cnf(403,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| $false
| ~ iext(uri_rdf_first,esk14_0,X1) ),
inference(rw,[status(thm)],[398,234,theory(equality)]) ).
cnf(404,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| ~ iext(uri_rdf_first,esk14_0,X1) ),
inference(cn,[status(thm)],[403,theory(equality)]) ).
cnf(729,plain,
( X1 = X2
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X3,X1) ),
inference(spm,[status(thm)],[306,240,theory(equality)]) ).
cnf(954,plain,
( X1 = uri_ex_u
| ~ iext(uri_rdf_first,esk14_0,X1) ),
inference(spm,[status(thm)],[729,236,theory(equality)]) ).
cnf(968,plain,
uri_ex_v = uri_ex_u,
inference(spm,[status(thm)],[954,235,theory(equality)]) ).
cnf(971,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)],[231,968,theory(equality)]) ).
cnf(972,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(cn,[status(thm)],[971,theory(equality)]) ).
cnf(1174,plain,
( uri_ex_u = X1
| ~ icext(esk13_0,X1) ),
inference(spm,[status(thm)],[404,236,theory(equality)]) ).
cnf(1175,plain,
( uri_ex_u = X1
| ~ iext(uri_rdf_type,X1,esk13_0) ),
inference(spm,[status(thm)],[1174,227,theory(equality)]) ).
cnf(1210,plain,
uri_ex_u = uri_ex_w,
inference(spm,[status(thm)],[1175,239,theory(equality)]) ).
cnf(1223,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[972,1210,theory(equality)]),259,theory(equality)]) ).
cnf(1224,negated_conjecture,
$false,
inference(cn,[status(thm)],[1223,theory(equality)]) ).
cnf(1225,negated_conjecture,
$false,
1224,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB023+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpVw_r2B/sel_SWB023+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB023+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB023+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB023+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
%
%------------------------------------------------------------------------------