TSTP Solution File: SWB049+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB049+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 : Fri Mar 4 00:40:25 EST 2011
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 229 ( 85 ~; 91 |; 47 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 89 ( 9 sgn 61 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( icext(uri_owl_ReflexiveProperty,X1)
<=> ( ip(X1)
& ! [X2] : iext(X1,X2,X2) ) ),
file('/tmp/tmpAOWOsE/sel_SWB049+1.p_1',owl_char_reflexive) ).
fof(3,axiom,
! [X2,X3] :
( iext(uri_owl_topObjectProperty,X2,X3)
<=> ( ir(X2)
& ir(X3) ) ),
file('/tmp/tmpAOWOsE/sel_SWB049+1.p_1',owl_prop_topobjectproperty_ext) ).
fof(5,axiom,
! [X4,X1,X5] :
( iext(X1,X4,X5)
=> ip(X1) ),
file('/tmp/tmpAOWOsE/sel_SWB049+1.p_1',simple_iext_property) ).
fof(12,axiom,
! [X7,X8] :
( iext(uri_owl_equivalentProperty,X7,X8)
<=> ( ip(X7)
& ip(X8)
& ! [X2,X3] :
( iext(X7,X2,X3)
<=> iext(X8,X2,X3) ) ) ),
file('/tmp/tmpAOWOsE/sel_SWB049+1.p_1',owl_eqdis_equivalentproperty) ).
fof(14,axiom,
! [X2] : ir(X2),
file('/tmp/tmpAOWOsE/sel_SWB049+1.p_1',simple_ir) ).
fof(17,axiom,
! [X2,X9] :
( iext(uri_rdf_type,X2,X9)
<=> icext(X9,X2) ),
file('/tmp/tmpAOWOsE/sel_SWB049+1.p_1',rdfs_cext_def) ).
fof(19,axiom,
iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
file('/tmp/tmpAOWOsE/sel_SWB049+1.p_1',premise_rdfbased_sem_char_reflexive_ext) ).
fof(20,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
file('/tmp/tmpAOWOsE/sel_SWB049+1.p_1',conclusion_rdfbased_sem_char_reflexive_ext) ).
fof(21,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
inference(assume_negation,[status(cth)],[20]) ).
fof(22,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(23,plain,
! [X1] :
( ( ~ icext(uri_owl_ReflexiveProperty,X1)
| ( ip(X1)
& ! [X2] : iext(X1,X2,X2) ) )
& ( ~ ip(X1)
| ? [X2] : ~ iext(X1,X2,X2)
| icext(uri_owl_ReflexiveProperty,X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(24,plain,
! [X3] :
( ( ~ icext(uri_owl_ReflexiveProperty,X3)
| ( ip(X3)
& ! [X4] : iext(X3,X4,X4) ) )
& ( ~ ip(X3)
| ? [X5] : ~ iext(X3,X5,X5)
| icext(uri_owl_ReflexiveProperty,X3) ) ),
inference(variable_rename,[status(thm)],[23]) ).
fof(25,plain,
! [X3] :
( ( ~ icext(uri_owl_ReflexiveProperty,X3)
| ( ip(X3)
& ! [X4] : iext(X3,X4,X4) ) )
& ( ~ ip(X3)
| ~ iext(X3,esk1_1(X3),esk1_1(X3))
| icext(uri_owl_ReflexiveProperty,X3) ) ),
inference(skolemize,[status(esa)],[24]) ).
fof(26,plain,
! [X3,X4] :
( ( ( iext(X3,X4,X4)
& ip(X3) )
| ~ icext(uri_owl_ReflexiveProperty,X3) )
& ( ~ ip(X3)
| ~ iext(X3,esk1_1(X3),esk1_1(X3))
| icext(uri_owl_ReflexiveProperty,X3) ) ),
inference(shift_quantors,[status(thm)],[25]) ).
fof(27,plain,
! [X3,X4] :
( ( iext(X3,X4,X4)
| ~ icext(uri_owl_ReflexiveProperty,X3) )
& ( ip(X3)
| ~ icext(uri_owl_ReflexiveProperty,X3) )
& ( ~ ip(X3)
| ~ iext(X3,esk1_1(X3),esk1_1(X3))
| icext(uri_owl_ReflexiveProperty,X3) ) ),
inference(distribute,[status(thm)],[26]) ).
cnf(28,plain,
( icext(uri_owl_ReflexiveProperty,X1)
| ~ iext(X1,esk1_1(X1),esk1_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[27]) ).
fof(34,plain,
! [X2,X3] :
( ( ~ iext(uri_owl_topObjectProperty,X2,X3)
| ( ir(X2)
& ir(X3) ) )
& ( ~ ir(X2)
| ~ ir(X3)
| iext(uri_owl_topObjectProperty,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(35,plain,
! [X4,X5] :
( ( ~ iext(uri_owl_topObjectProperty,X4,X5)
| ( ir(X4)
& ir(X5) ) )
& ( ~ ir(X4)
| ~ ir(X5)
| iext(uri_owl_topObjectProperty,X4,X5) ) ),
inference(variable_rename,[status(thm)],[34]) ).
fof(36,plain,
! [X4,X5] :
( ( ir(X4)
| ~ iext(uri_owl_topObjectProperty,X4,X5) )
& ( ir(X5)
| ~ iext(uri_owl_topObjectProperty,X4,X5) )
& ( ~ ir(X4)
| ~ ir(X5)
| iext(uri_owl_topObjectProperty,X4,X5) ) ),
inference(distribute,[status(thm)],[35]) ).
cnf(37,plain,
( iext(uri_owl_topObjectProperty,X1,X2)
| ~ ir(X2)
| ~ ir(X1) ),
inference(split_conjunct,[status(thm)],[36]) ).
fof(43,plain,
! [X4,X1,X5] :
( ~ iext(X1,X4,X5)
| ip(X1) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(44,plain,
! [X6,X7,X8] :
( ~ iext(X7,X6,X8)
| ip(X7) ),
inference(variable_rename,[status(thm)],[43]) ).
cnf(45,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(65,plain,
! [X7,X8] :
( ( ~ iext(uri_owl_equivalentProperty,X7,X8)
| ( ip(X7)
& ip(X8)
& ! [X2,X3] :
( ( ~ iext(X7,X2,X3)
| iext(X8,X2,X3) )
& ( ~ iext(X8,X2,X3)
| iext(X7,X2,X3) ) ) ) )
& ( ~ ip(X7)
| ~ ip(X8)
| ? [X2,X3] :
( ( ~ iext(X7,X2,X3)
| ~ iext(X8,X2,X3) )
& ( iext(X7,X2,X3)
| iext(X8,X2,X3) ) )
| iext(uri_owl_equivalentProperty,X7,X8) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(66,plain,
! [X9,X10] :
( ( ~ iext(uri_owl_equivalentProperty,X9,X10)
| ( ip(X9)
& ip(X10)
& ! [X11,X12] :
( ( ~ iext(X9,X11,X12)
| iext(X10,X11,X12) )
& ( ~ iext(X10,X11,X12)
| iext(X9,X11,X12) ) ) ) )
& ( ~ ip(X9)
| ~ ip(X10)
| ? [X13,X14] :
( ( ~ iext(X9,X13,X14)
| ~ iext(X10,X13,X14) )
& ( iext(X9,X13,X14)
| iext(X10,X13,X14) ) )
| iext(uri_owl_equivalentProperty,X9,X10) ) ),
inference(variable_rename,[status(thm)],[65]) ).
fof(67,plain,
! [X9,X10] :
( ( ~ iext(uri_owl_equivalentProperty,X9,X10)
| ( ip(X9)
& ip(X10)
& ! [X11,X12] :
( ( ~ iext(X9,X11,X12)
| iext(X10,X11,X12) )
& ( ~ iext(X10,X11,X12)
| iext(X9,X11,X12) ) ) ) )
& ( ~ ip(X9)
| ~ ip(X10)
| ( ( ~ iext(X9,esk3_2(X9,X10),esk4_2(X9,X10))
| ~ iext(X10,esk3_2(X9,X10),esk4_2(X9,X10)) )
& ( iext(X9,esk3_2(X9,X10),esk4_2(X9,X10))
| iext(X10,esk3_2(X9,X10),esk4_2(X9,X10)) ) )
| iext(uri_owl_equivalentProperty,X9,X10) ) ),
inference(skolemize,[status(esa)],[66]) ).
fof(68,plain,
! [X9,X10,X11,X12] :
( ( ( ( ~ iext(X9,X11,X12)
| iext(X10,X11,X12) )
& ( ~ iext(X10,X11,X12)
| iext(X9,X11,X12) )
& ip(X9)
& ip(X10) )
| ~ iext(uri_owl_equivalentProperty,X9,X10) )
& ( ~ ip(X9)
| ~ ip(X10)
| ( ( ~ iext(X9,esk3_2(X9,X10),esk4_2(X9,X10))
| ~ iext(X10,esk3_2(X9,X10),esk4_2(X9,X10)) )
& ( iext(X9,esk3_2(X9,X10),esk4_2(X9,X10))
| iext(X10,esk3_2(X9,X10),esk4_2(X9,X10)) ) )
| iext(uri_owl_equivalentProperty,X9,X10) ) ),
inference(shift_quantors,[status(thm)],[67]) ).
fof(69,plain,
! [X9,X10,X11,X12] :
( ( ~ iext(X9,X11,X12)
| iext(X10,X11,X12)
| ~ iext(uri_owl_equivalentProperty,X9,X10) )
& ( ~ iext(X10,X11,X12)
| iext(X9,X11,X12)
| ~ iext(uri_owl_equivalentProperty,X9,X10) )
& ( ip(X9)
| ~ iext(uri_owl_equivalentProperty,X9,X10) )
& ( ip(X10)
| ~ iext(uri_owl_equivalentProperty,X9,X10) )
& ( ~ iext(X9,esk3_2(X9,X10),esk4_2(X9,X10))
| ~ iext(X10,esk3_2(X9,X10),esk4_2(X9,X10))
| ~ ip(X9)
| ~ ip(X10)
| iext(uri_owl_equivalentProperty,X9,X10) )
& ( iext(X9,esk3_2(X9,X10),esk4_2(X9,X10))
| iext(X10,esk3_2(X9,X10),esk4_2(X9,X10))
| ~ ip(X9)
| ~ ip(X10)
| iext(uri_owl_equivalentProperty,X9,X10) ) ),
inference(distribute,[status(thm)],[68]) ).
cnf(74,plain,
( iext(X1,X3,X4)
| ~ iext(uri_owl_equivalentProperty,X1,X2)
| ~ iext(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(79,plain,
! [X3] : ir(X3),
inference(variable_rename,[status(thm)],[14]) ).
cnf(80,plain,
ir(X1),
inference(split_conjunct,[status(thm)],[79]) ).
fof(86,plain,
! [X2,X9] :
( ( ~ iext(uri_rdf_type,X2,X9)
| icext(X9,X2) )
& ( ~ icext(X9,X2)
| iext(uri_rdf_type,X2,X9) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(87,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)],[86]) ).
cnf(88,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(93,plain,
iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(94,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(105,plain,
( iext(uri_owl_topObjectProperty,X1,X2)
| $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[37,80,theory(equality)]),80,theory(equality)]),
[unfolding] ).
cnf(116,plain,
( icext(uri_owl_ReflexiveProperty,X1)
| ~ iext(X1,esk1_1(X1),esk1_1(X1)) ),
inference(csr,[status(thm)],[28,45]) ).
cnf(120,plain,
( iext(uri_ex_p,X1,X2)
| ~ iext(uri_owl_topObjectProperty,X1,X2) ),
inference(spm,[status(thm)],[74,93,theory(equality)]) ).
cnf(121,plain,
( iext(uri_ex_p,X1,X2)
| $false ),
inference(rw,[status(thm)],[120,105,theory(equality)]) ).
cnf(122,plain,
iext(uri_ex_p,X1,X2),
inference(cn,[status(thm)],[121,theory(equality)]) ).
cnf(162,plain,
icext(uri_owl_ReflexiveProperty,uri_ex_p),
inference(spm,[status(thm)],[116,122,theory(equality)]) ).
cnf(169,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
inference(spm,[status(thm)],[88,162,theory(equality)]) ).
cnf(172,plain,
$false,
inference(sr,[status(thm)],[169,94,theory(equality)]) ).
cnf(173,plain,
$false,
172,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB049+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpAOWOsE/sel_SWB049+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB049+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB049+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB049+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
%
%------------------------------------------------------------------------------