TSTP Solution File: SWB014+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB014+2 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 23:46:56 EST 2011
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 44 ( 14 unt; 0 def)
% Number of atoms : 292 ( 0 equ)
% Maximal formula atoms : 71 ( 6 avg)
% Number of connectives : 405 ( 157 ~; 173 |; 71 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-5 aty)
% Number of variables : 85 ( 0 sgn 44 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3,X4,X5] :
( ( iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,X1,X2)
<=> ( ic(X1)
& ic(X3)
& ic(X5)
& ! [X6] :
( icext(X1,X6)
<=> ( icext(X3,X6)
| icext(X5,X6) ) ) ) ) ),
file('/tmp/tmpCL-FHj/sel_SWB014+2.p_1',owl_bool_unionof_class_002) ).
fof(2,axiom,
! [X6,X7] :
( iext(uri_rdf_type,X6,X7)
<=> icext(X7,X6) ),
file('/tmp/tmpCL-FHj/sel_SWB014+2.p_1',rdfs_cext_def) ).
fof(3,axiom,
? [X8,X9,X10] :
( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,X8)
& iext(uri_owl_unionOf,X8,X9)
& iext(uri_rdf_first,X9,uri_ex_Eagle)
& iext(uri_rdf_rest,X9,X10)
& iext(uri_rdf_first,X10,uri_ex_Falcon)
& iext(uri_rdf_rest,X10,uri_rdf_nil) ),
file('/tmp/tmpCL-FHj/sel_SWB014+2.p_1',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).
fof(4,conjecture,
? [X11] :
( iext(uri_rdf_type,uri_ex_harry,X11)
& iext(uri_rdf_type,X11,uri_ex_Species) ),
file('/tmp/tmpCL-FHj/sel_SWB014+2.p_1',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).
fof(5,negated_conjecture,
~ ? [X11] :
( iext(uri_rdf_type,uri_ex_harry,X11)
& iext(uri_rdf_type,X11,uri_ex_Species) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(6,plain,
! [X1,X2,X3,X4,X5] :
( ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ( ( ~ iext(uri_owl_unionOf,X1,X2)
| ( ic(X1)
& ic(X3)
& ic(X5)
& ! [X6] :
( ( ~ icext(X1,X6)
| icext(X3,X6)
| icext(X5,X6) )
& ( ( ~ icext(X3,X6)
& ~ icext(X5,X6) )
| icext(X1,X6) ) ) ) )
& ( ~ ic(X1)
| ~ ic(X3)
| ~ ic(X5)
| ? [X6] :
( ( ~ icext(X1,X6)
| ( ~ icext(X3,X6)
& ~ icext(X5,X6) ) )
& ( icext(X1,X6)
| icext(X3,X6)
| icext(X5,X6) ) )
| iext(uri_owl_unionOf,X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(7,plain,
! [X7,X8,X9,X10,X11] :
( ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil)
| ( ( ~ iext(uri_owl_unionOf,X7,X8)
| ( ic(X7)
& ic(X9)
& ic(X11)
& ! [X12] :
( ( ~ icext(X7,X12)
| icext(X9,X12)
| icext(X11,X12) )
& ( ( ~ icext(X9,X12)
& ~ icext(X11,X12) )
| icext(X7,X12) ) ) ) )
& ( ~ ic(X7)
| ~ ic(X9)
| ~ ic(X11)
| ? [X13] :
( ( ~ icext(X7,X13)
| ( ~ icext(X9,X13)
& ~ icext(X11,X13) ) )
& ( icext(X7,X13)
| icext(X9,X13)
| icext(X11,X13) ) )
| iext(uri_owl_unionOf,X7,X8) ) ) ),
inference(variable_rename,[status(thm)],[6]) ).
fof(8,plain,
! [X7,X8,X9,X10,X11] :
( ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil)
| ( ( ~ iext(uri_owl_unionOf,X7,X8)
| ( ic(X7)
& ic(X9)
& ic(X11)
& ! [X12] :
( ( ~ icext(X7,X12)
| icext(X9,X12)
| icext(X11,X12) )
& ( ( ~ icext(X9,X12)
& ~ icext(X11,X12) )
| icext(X7,X12) ) ) ) )
& ( ~ ic(X7)
| ~ ic(X9)
| ~ ic(X11)
| ( ( ~ icext(X7,esk1_5(X7,X8,X9,X10,X11))
| ( ~ icext(X9,esk1_5(X7,X8,X9,X10,X11))
& ~ icext(X11,esk1_5(X7,X8,X9,X10,X11)) ) )
& ( icext(X7,esk1_5(X7,X8,X9,X10,X11))
| icext(X9,esk1_5(X7,X8,X9,X10,X11))
| icext(X11,esk1_5(X7,X8,X9,X10,X11)) ) )
| iext(uri_owl_unionOf,X7,X8) ) ) ),
inference(skolemize,[status(esa)],[7]) ).
fof(9,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( ( ( ( ~ icext(X7,X12)
| icext(X9,X12)
| icext(X11,X12) )
& ( ( ~ icext(X9,X12)
& ~ icext(X11,X12) )
| icext(X7,X12) )
& ic(X7)
& ic(X9)
& ic(X11) )
| ~ iext(uri_owl_unionOf,X7,X8) )
& ( ~ ic(X7)
| ~ ic(X9)
| ~ ic(X11)
| ( ( ~ icext(X7,esk1_5(X7,X8,X9,X10,X11))
| ( ~ icext(X9,esk1_5(X7,X8,X9,X10,X11))
& ~ icext(X11,esk1_5(X7,X8,X9,X10,X11)) ) )
& ( icext(X7,esk1_5(X7,X8,X9,X10,X11))
| icext(X9,esk1_5(X7,X8,X9,X10,X11))
| icext(X11,esk1_5(X7,X8,X9,X10,X11)) ) )
| iext(uri_owl_unionOf,X7,X8) ) )
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[8]) ).
fof(10,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( ~ icext(X7,X12)
| icext(X9,X12)
| icext(X11,X12)
| ~ iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) )
& ( ~ icext(X9,X12)
| icext(X7,X12)
| ~ iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) )
& ( ~ icext(X11,X12)
| icext(X7,X12)
| ~ iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) )
& ( ic(X7)
| ~ iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) )
& ( ic(X9)
| ~ iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) )
& ( ic(X11)
| ~ iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) )
& ( ~ icext(X9,esk1_5(X7,X8,X9,X10,X11))
| ~ icext(X7,esk1_5(X7,X8,X9,X10,X11))
| ~ ic(X7)
| ~ ic(X9)
| ~ ic(X11)
| iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) )
& ( ~ icext(X11,esk1_5(X7,X8,X9,X10,X11))
| ~ icext(X7,esk1_5(X7,X8,X9,X10,X11))
| ~ ic(X7)
| ~ ic(X9)
| ~ ic(X11)
| iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) )
& ( icext(X7,esk1_5(X7,X8,X9,X10,X11))
| icext(X9,esk1_5(X7,X8,X9,X10,X11))
| icext(X11,esk1_5(X7,X8,X9,X10,X11))
| ~ ic(X7)
| ~ ic(X9)
| ~ ic(X11)
| iext(uri_owl_unionOf,X7,X8)
| ~ iext(uri_rdf_first,X8,X9)
| ~ iext(uri_rdf_rest,X8,X10)
| ~ iext(uri_rdf_first,X10,X11)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[9]) ).
cnf(19,plain,
( icext(X2,X6)
| icext(X4,X6)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_unionOf,X5,X3)
| ~ icext(X5,X6) ),
inference(split_conjunct,[status(thm)],[10]) ).
fof(20,plain,
! [X6,X7] :
( ( ~ iext(uri_rdf_type,X6,X7)
| icext(X7,X6) )
& ( ~ icext(X7,X6)
| iext(uri_rdf_type,X6,X7) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(21,plain,
! [X8,X9] :
( ( ~ iext(uri_rdf_type,X8,X9)
| icext(X9,X8) )
& ( ~ icext(X9,X8)
| iext(uri_rdf_type,X8,X9) ) ),
inference(variable_rename,[status(thm)],[20]) ).
cnf(22,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(24,plain,
? [X11,X12,X13] :
( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,X11)
& iext(uri_owl_unionOf,X11,X12)
& iext(uri_rdf_first,X12,uri_ex_Eagle)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X13,uri_ex_Falcon)
& iext(uri_rdf_rest,X13,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[3]) ).
fof(25,plain,
( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,esk2_0)
& iext(uri_owl_unionOf,esk2_0,esk3_0)
& iext(uri_rdf_first,esk3_0,uri_ex_Eagle)
& iext(uri_rdf_rest,esk3_0,esk4_0)
& iext(uri_rdf_first,esk4_0,uri_ex_Falcon)
& iext(uri_rdf_rest,esk4_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[24]) ).
cnf(26,plain,
iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(27,plain,
iext(uri_rdf_first,esk4_0,uri_ex_Falcon),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(28,plain,
iext(uri_rdf_rest,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(29,plain,
iext(uri_rdf_first,esk3_0,uri_ex_Eagle),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(30,plain,
iext(uri_owl_unionOf,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(31,plain,
iext(uri_rdf_type,uri_ex_harry,esk2_0),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(32,plain,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(33,plain,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
inference(split_conjunct,[status(thm)],[25]) ).
fof(34,negated_conjecture,
! [X11] :
( ~ iext(uri_rdf_type,uri_ex_harry,X11)
| ~ iext(uri_rdf_type,X11,uri_ex_Species) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(35,negated_conjecture,
! [X12] :
( ~ iext(uri_rdf_type,uri_ex_harry,X12)
| ~ iext(uri_rdf_type,X12,uri_ex_Species) ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,negated_conjecture,
( ~ iext(uri_rdf_type,X1,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
inference(spm,[status(thm)],[36,33,theory(equality)]) ).
cnf(38,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
inference(spm,[status(thm)],[36,32,theory(equality)]) ).
cnf(45,plain,
( icext(X1,X2)
| icext(X3,X2)
| ~ icext(X4,X2)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_first,esk4_0,X1)
| ~ iext(uri_rdf_rest,X5,esk4_0)
| ~ iext(uri_owl_unionOf,X4,X5) ),
inference(spm,[status(thm)],[19,26,theory(equality)]) ).
cnf(87,plain,
( icext(uri_ex_Eagle,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk4_0,X2)
| ~ iext(uri_rdf_rest,esk3_0,esk4_0)
| ~ iext(uri_owl_unionOf,X3,esk3_0) ),
inference(spm,[status(thm)],[45,29,theory(equality)]) ).
cnf(89,plain,
( icext(uri_ex_Eagle,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk4_0,X2)
| $false
| ~ iext(uri_owl_unionOf,X3,esk3_0) ),
inference(rw,[status(thm)],[87,28,theory(equality)]) ).
cnf(90,plain,
( icext(uri_ex_Eagle,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk4_0,X2)
| ~ iext(uri_owl_unionOf,X3,esk3_0) ),
inference(cn,[status(thm)],[89,theory(equality)]) ).
cnf(188,plain,
( icext(uri_ex_Eagle,X1)
| icext(X2,X1)
| ~ iext(uri_rdf_first,esk4_0,X2)
| ~ iext(uri_owl_unionOf,X3,esk3_0)
| ~ iext(uri_rdf_type,X1,X3) ),
inference(spm,[status(thm)],[90,23,theory(equality)]) ).
cnf(220,plain,
( icext(uri_ex_Eagle,uri_ex_harry)
| icext(X1,uri_ex_harry)
| ~ iext(uri_rdf_first,esk4_0,X1)
| ~ iext(uri_owl_unionOf,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[188,31,theory(equality)]) ).
cnf(227,plain,
( icext(uri_ex_Eagle,uri_ex_harry)
| icext(X1,uri_ex_harry)
| ~ iext(uri_rdf_first,esk4_0,X1)
| $false ),
inference(rw,[status(thm)],[220,30,theory(equality)]) ).
cnf(228,plain,
( icext(uri_ex_Eagle,uri_ex_harry)
| icext(X1,uri_ex_harry)
| ~ iext(uri_rdf_first,esk4_0,X1) ),
inference(cn,[status(thm)],[227,theory(equality)]) ).
cnf(240,plain,
( icext(uri_ex_Eagle,uri_ex_harry)
| icext(uri_ex_Falcon,uri_ex_harry) ),
inference(spm,[status(thm)],[228,27,theory(equality)]) ).
cnf(241,plain,
( iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon)
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(spm,[status(thm)],[22,240,theory(equality)]) ).
cnf(246,plain,
icext(uri_ex_Eagle,uri_ex_harry),
inference(sr,[status(thm)],[241,38,theory(equality)]) ).
cnf(249,plain,
iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
inference(spm,[status(thm)],[22,246,theory(equality)]) ).
cnf(256,plain,
$false,
inference(sr,[status(thm)],[249,37,theory(equality)]) ).
cnf(257,plain,
$false,
256,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB014+2.p
% --creating new selector for []
% -running prover on /tmp/tmpCL-FHj/sel_SWB014+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB014+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB014+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB014+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
%
%------------------------------------------------------------------------------