%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB067+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 : Fri Mar 4 00:45:30 EST 2011
% Result : Theorem 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 13 unt; 0 def)
% Number of atoms : 254 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 317 ( 117 ~; 135 |; 59 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 107 ( 4 sgn 65 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( iext(X2,X1,X3)
=> ip(X2) ),
file('/tmp/tmpZUz7M0/sel_SWB067+1.p_1',simple_iext_property) ).
fof(4,axiom,
! [X4,X5] :
( iext(uri_owl_inverseOf,X4,X5)
=> ( ip(X4)
& ip(X5) ) ),
file('/tmp/tmpZUz7M0/sel_SWB067+1.p_1',owl_prop_inverseof_ext) ).
fof(5,axiom,
! [X6,X7] :
( iext(uri_owl_equivalentProperty,X6,X7)
<=> ( ip(X6)
& ip(X7)
& ! [X4,X5] :
( iext(X6,X4,X5)
<=> iext(X7,X4,X5) ) ) ),
file('/tmp/tmpZUz7M0/sel_SWB067+1.p_1',owl_eqdis_equivalentproperty) ).
fof(7,axiom,
! [X6,X7] :
( iext(uri_owl_inverseOf,X6,X7)
<=> ( ip(X6)
& ip(X7)
& ! [X4,X5] :
( iext(X6,X4,X5)
<=> iext(X7,X5,X4) ) ) ),
file('/tmp/tmpZUz7M0/sel_SWB067+1.p_1',owl_inv) ).
fof(8,axiom,
( iext(uri_owl_inverseOf,uri_ex_p3,uri_ex_p2)
& iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1) ),
file('/tmp/tmpZUz7M0/sel_SWB067+1.p_1',premise_rdfbased_sem_inv_trans) ).
fof(9,conjecture,
iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
file('/tmp/tmpZUz7M0/sel_SWB067+1.p_1',conclusion_rdfbased_sem_inv_trans) ).
fof(10,negated_conjecture,
~ iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(assume_negation,[status(cth)],[9]) ).
fof(11,negated_conjecture,
~ iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(12,plain,
! [X1,X2,X3] :
( ~ iext(X2,X1,X3)
| ip(X2) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(13,plain,
! [X4,X5,X6] :
( ~ iext(X5,X4,X6)
| ip(X5) ),
inference(variable_rename,[status(thm)],[12]) ).
cnf(14,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
fof(17,plain,
! [X4,X5] :
( ~ iext(uri_owl_inverseOf,X4,X5)
| ( ip(X4)
& ip(X5) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(18,plain,
! [X6,X7] :
( ~ iext(uri_owl_inverseOf,X6,X7)
| ( ip(X6)
& ip(X7) ) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,plain,
! [X6,X7] :
( ( ip(X6)
| ~ iext(uri_owl_inverseOf,X6,X7) )
& ( ip(X7)
| ~ iext(uri_owl_inverseOf,X6,X7) ) ),
inference(distribute,[status(thm)],[18]) ).
cnf(20,plain,
( ip(X2)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(21,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[19]) ).
fof(22,plain,
! [X6,X7] :
( ( ~ iext(uri_owl_equivalentProperty,X6,X7)
| ( ip(X6)
& ip(X7)
& ! [X4,X5] :
( ( ~ iext(X6,X4,X5)
| iext(X7,X4,X5) )
& ( ~ iext(X7,X4,X5)
| iext(X6,X4,X5) ) ) ) )
& ( ~ ip(X6)
| ~ ip(X7)
| ? [X4,X5] :
( ( ~ iext(X6,X4,X5)
| ~ iext(X7,X4,X5) )
& ( iext(X6,X4,X5)
| iext(X7,X4,X5) ) )
| iext(uri_owl_equivalentProperty,X6,X7) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(23,plain,
! [X8,X9] :
( ( ~ iext(uri_owl_equivalentProperty,X8,X9)
| ( ip(X8)
& ip(X9)
& ! [X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X10,X11) )
& ( ~ iext(X9,X10,X11)
| iext(X8,X10,X11) ) ) ) )
& ( ~ ip(X8)
| ~ ip(X9)
| ? [X12,X13] :
( ( ~ iext(X8,X12,X13)
| ~ iext(X9,X12,X13) )
& ( iext(X8,X12,X13)
| iext(X9,X12,X13) ) )
| iext(uri_owl_equivalentProperty,X8,X9) ) ),
inference(variable_rename,[status(thm)],[22]) ).
fof(24,plain,
! [X8,X9] :
( ( ~ iext(uri_owl_equivalentProperty,X8,X9)
| ( ip(X8)
& ip(X9)
& ! [X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X10,X11) )
& ( ~ iext(X9,X10,X11)
| iext(X8,X10,X11) ) ) ) )
& ( ~ ip(X8)
| ~ ip(X9)
| ( ( ~ iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| ~ iext(X9,esk1_2(X8,X9),esk2_2(X8,X9)) )
& ( iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| iext(X9,esk1_2(X8,X9),esk2_2(X8,X9)) ) )
| iext(uri_owl_equivalentProperty,X8,X9) ) ),
inference(skolemize,[status(esa)],[23]) ).
fof(25,plain,
! [X8,X9,X10,X11] :
( ( ( ( ~ iext(X8,X10,X11)
| iext(X9,X10,X11) )
& ( ~ iext(X9,X10,X11)
| iext(X8,X10,X11) )
& ip(X8)
& ip(X9) )
| ~ iext(uri_owl_equivalentProperty,X8,X9) )
& ( ~ ip(X8)
| ~ ip(X9)
| ( ( ~ iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| ~ iext(X9,esk1_2(X8,X9),esk2_2(X8,X9)) )
& ( iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| iext(X9,esk1_2(X8,X9),esk2_2(X8,X9)) ) )
| iext(uri_owl_equivalentProperty,X8,X9) ) ),
inference(shift_quantors,[status(thm)],[24]) ).
fof(26,plain,
! [X8,X9,X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X10,X11)
| ~ iext(uri_owl_equivalentProperty,X8,X9) )
& ( ~ iext(X9,X10,X11)
| iext(X8,X10,X11)
| ~ iext(uri_owl_equivalentProperty,X8,X9) )
& ( ip(X8)
| ~ iext(uri_owl_equivalentProperty,X8,X9) )
& ( ip(X9)
| ~ iext(uri_owl_equivalentProperty,X8,X9) )
& ( ~ iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| ~ iext(X9,esk1_2(X8,X9),esk2_2(X8,X9))
| ~ ip(X8)
| ~ ip(X9)
| iext(uri_owl_equivalentProperty,X8,X9) )
& ( iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| iext(X9,esk1_2(X8,X9),esk2_2(X8,X9))
| ~ ip(X8)
| ~ ip(X9)
| iext(uri_owl_equivalentProperty,X8,X9) ) ),
inference(distribute,[status(thm)],[25]) ).
cnf(27,plain,
( iext(uri_owl_equivalentProperty,X1,X2)
| iext(X2,esk1_2(X1,X2),esk2_2(X1,X2))
| iext(X1,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,plain,
( iext(uri_owl_equivalentProperty,X1,X2)
| ~ ip(X2)
| ~ ip(X1)
| ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ iext(X1,esk1_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(38,plain,
! [X6,X7] :
( ( ~ iext(uri_owl_inverseOf,X6,X7)
| ( ip(X6)
& ip(X7)
& ! [X4,X5] :
( ( ~ iext(X6,X4,X5)
| iext(X7,X5,X4) )
& ( ~ iext(X7,X5,X4)
| iext(X6,X4,X5) ) ) ) )
& ( ~ ip(X6)
| ~ ip(X7)
| ? [X4,X5] :
( ( ~ iext(X6,X4,X5)
| ~ iext(X7,X5,X4) )
& ( iext(X6,X4,X5)
| iext(X7,X5,X4) ) )
| iext(uri_owl_inverseOf,X6,X7) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(39,plain,
! [X8,X9] :
( ( ~ iext(uri_owl_inverseOf,X8,X9)
| ( ip(X8)
& ip(X9)
& ! [X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X11,X10) )
& ( ~ iext(X9,X11,X10)
| iext(X8,X10,X11) ) ) ) )
& ( ~ ip(X8)
| ~ ip(X9)
| ? [X12,X13] :
( ( ~ iext(X8,X12,X13)
| ~ iext(X9,X13,X12) )
& ( iext(X8,X12,X13)
| iext(X9,X13,X12) ) )
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(variable_rename,[status(thm)],[38]) ).
fof(40,plain,
! [X8,X9] :
( ( ~ iext(uri_owl_inverseOf,X8,X9)
| ( ip(X8)
& ip(X9)
& ! [X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X11,X10) )
& ( ~ iext(X9,X11,X10)
| iext(X8,X10,X11) ) ) ) )
& ( ~ ip(X8)
| ~ ip(X9)
| ( ( ~ iext(X8,esk3_2(X8,X9),esk4_2(X8,X9))
| ~ iext(X9,esk4_2(X8,X9),esk3_2(X8,X9)) )
& ( iext(X8,esk3_2(X8,X9),esk4_2(X8,X9))
| iext(X9,esk4_2(X8,X9),esk3_2(X8,X9)) ) )
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(skolemize,[status(esa)],[39]) ).
fof(41,plain,
! [X8,X9,X10,X11] :
( ( ( ( ~ iext(X8,X10,X11)
| iext(X9,X11,X10) )
& ( ~ iext(X9,X11,X10)
| iext(X8,X10,X11) )
& ip(X8)
& ip(X9) )
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ~ ip(X8)
| ~ ip(X9)
| ( ( ~ iext(X8,esk3_2(X8,X9),esk4_2(X8,X9))
| ~ iext(X9,esk4_2(X8,X9),esk3_2(X8,X9)) )
& ( iext(X8,esk3_2(X8,X9),esk4_2(X8,X9))
| iext(X9,esk4_2(X8,X9),esk3_2(X8,X9)) ) )
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(shift_quantors,[status(thm)],[40]) ).
fof(42,plain,
! [X8,X9,X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X11,X10)
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ~ iext(X9,X11,X10)
| iext(X8,X10,X11)
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ip(X8)
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ip(X9)
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ~ iext(X8,esk3_2(X8,X9),esk4_2(X8,X9))
| ~ iext(X9,esk4_2(X8,X9),esk3_2(X8,X9))
| ~ ip(X8)
| ~ ip(X9)
| iext(uri_owl_inverseOf,X8,X9) )
& ( iext(X8,esk3_2(X8,X9),esk4_2(X8,X9))
| iext(X9,esk4_2(X8,X9),esk3_2(X8,X9))
| ~ ip(X8)
| ~ ip(X9)
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(47,plain,
( iext(X1,X3,X4)
| ~ iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(48,plain,
( iext(X2,X3,X4)
| ~ iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(49,plain,
iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(50,plain,
iext(uri_owl_inverseOf,uri_ex_p3,uri_ex_p2),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(51,negated_conjecture,
~ iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(53,plain,
ip(uri_ex_p1),
inference(spm,[status(thm)],[20,49,theory(equality)]) ).
cnf(58,plain,
ip(uri_ex_p3),
inference(spm,[status(thm)],[21,50,theory(equality)]) ).
cnf(60,plain,
( iext(uri_ex_p2,X1,X2)
| ~ iext(uri_ex_p3,X2,X1) ),
inference(spm,[status(thm)],[48,50,theory(equality)]) ).
cnf(61,plain,
( iext(uri_ex_p1,X1,X2)
| ~ iext(uri_ex_p2,X2,X1) ),
inference(spm,[status(thm)],[48,49,theory(equality)]) ).
cnf(62,plain,
( iext(uri_ex_p3,X1,X2)
| ~ iext(uri_ex_p2,X2,X1) ),
inference(spm,[status(thm)],[47,50,theory(equality)]) ).
cnf(63,plain,
( iext(uri_ex_p2,X1,X2)
| ~ iext(uri_ex_p1,X2,X1) ),
inference(spm,[status(thm)],[47,49,theory(equality)]) ).
cnf(66,plain,
( iext(uri_owl_equivalentProperty,X1,X2)
| ~ ip(X2)
| ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ iext(X1,esk1_2(X1,X2),esk2_2(X1,X2)) ),
inference(csr,[status(thm)],[28,14]) ).
cnf(67,plain,
( iext(uri_owl_equivalentProperty,X1,X2)
| ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ iext(X1,esk1_2(X1,X2),esk2_2(X1,X2)) ),
inference(csr,[status(thm)],[66,14]) ).
cnf(72,plain,
( iext(X1,esk1_2(X1,uri_ex_p1),esk2_2(X1,uri_ex_p1))
| iext(uri_ex_p1,esk1_2(X1,uri_ex_p1),esk2_2(X1,uri_ex_p1))
| iext(uri_owl_equivalentProperty,X1,uri_ex_p1)
| ~ ip(X1) ),
inference(spm,[status(thm)],[27,53,theory(equality)]) ).
cnf(84,plain,
( iext(uri_owl_equivalentProperty,X1,uri_ex_p1)
| ~ iext(X1,esk1_2(X1,uri_ex_p1),esk2_2(X1,uri_ex_p1))
| ~ iext(uri_ex_p2,esk2_2(X1,uri_ex_p1),esk1_2(X1,uri_ex_p1)) ),
inference(spm,[status(thm)],[67,61,theory(equality)]) ).
cnf(89,plain,
( iext(uri_owl_equivalentProperty,X1,uri_ex_p1)
| ~ iext(X1,esk1_2(X1,uri_ex_p1),esk2_2(X1,uri_ex_p1))
| ~ iext(uri_ex_p3,esk1_2(X1,uri_ex_p1),esk2_2(X1,uri_ex_p1)) ),
inference(spm,[status(thm)],[84,60,theory(equality)]) ).
cnf(271,plain,
( iext(uri_ex_p1,esk1_2(uri_ex_p3,uri_ex_p1),esk2_2(uri_ex_p3,uri_ex_p1))
| iext(uri_ex_p3,esk1_2(uri_ex_p3,uri_ex_p1),esk2_2(uri_ex_p3,uri_ex_p1))
| iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1) ),
inference(spm,[status(thm)],[72,58,theory(equality)]) ).
cnf(280,plain,
( iext(uri_ex_p1,esk1_2(uri_ex_p3,uri_ex_p1),esk2_2(uri_ex_p3,uri_ex_p1))
| iext(uri_ex_p3,esk1_2(uri_ex_p3,uri_ex_p1),esk2_2(uri_ex_p3,uri_ex_p1)) ),
inference(sr,[status(thm)],[271,51,theory(equality)]) ).
cnf(283,plain,
( iext(uri_ex_p2,esk2_2(uri_ex_p3,uri_ex_p1),esk1_2(uri_ex_p3,uri_ex_p1))
| iext(uri_ex_p3,esk1_2(uri_ex_p3,uri_ex_p1),esk2_2(uri_ex_p3,uri_ex_p1)) ),
inference(spm,[status(thm)],[63,280,theory(equality)]) ).
cnf(285,plain,
iext(uri_ex_p2,esk2_2(uri_ex_p3,uri_ex_p1),esk1_2(uri_ex_p3,uri_ex_p1)),
inference(csr,[status(thm)],[283,60]) ).
cnf(287,plain,
iext(uri_ex_p3,esk1_2(uri_ex_p3,uri_ex_p1),esk2_2(uri_ex_p3,uri_ex_p1)),
inference(spm,[status(thm)],[62,285,theory(equality)]) ).
cnf(292,plain,
( iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1)
| ~ iext(uri_ex_p3,esk1_2(uri_ex_p3,uri_ex_p1),esk2_2(uri_ex_p3,uri_ex_p1)) ),
inference(spm,[status(thm)],[89,287,theory(equality)]) ).
cnf(295,plain,
( iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1)
| $false ),
inference(rw,[status(thm)],[292,287,theory(equality)]) ).
cnf(296,plain,
iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(cn,[status(thm)],[295,theory(equality)]) ).
cnf(297,plain,
$false,
inference(sr,[status(thm)],[296,51,theory(equality)]) ).
cnf(298,plain,
$false,
297,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB067+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpZUz7M0/sel_SWB067+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB067+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB067+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB067+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
%
%------------------------------------------------------------------------------