TSTP Solution File: SWB047+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB047+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 00:40:08 EST 2011
% Result : Theorem 0.29s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 11 unt; 0 def)
% Number of atoms : 302 ( 35 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 381 ( 138 ~; 157 |; 78 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 139 ( 1 sgn 86 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1,X5] :
( iext(uri_owl_inverseOf,X1,X5)
=> ( ip(X1)
& ip(X5) ) ),
file('/tmp/tmpoUvife/sel_SWB047+1.p_1',owl_prop_inverseof_ext) ).
fof(6,axiom,
! [X6,X7] :
( iext(uri_owl_inverseOf,X6,X7)
<=> ( ip(X6)
& ip(X7)
& ! [X1,X5] :
( iext(X6,X1,X5)
<=> iext(X7,X5,X1) ) ) ),
file('/tmp/tmpoUvife/sel_SWB047+1.p_1',owl_inv) ).
fof(9,axiom,
! [X3] :
( icext(uri_owl_FunctionalProperty,X3)
<=> ( ip(X3)
& ! [X1,X8,X9] :
( ( iext(X3,X1,X8)
& iext(X3,X1,X9) )
=> X8 = X9 ) ) ),
file('/tmp/tmpoUvife/sel_SWB047+1.p_1',owl_char_functional) ).
fof(10,axiom,
! [X1,X10] :
( iext(uri_rdf_type,X1,X10)
<=> icext(X10,X1) ),
file('/tmp/tmpoUvife/sel_SWB047+1.p_1',rdfs_cext_def) ).
fof(11,axiom,
! [X3] :
( icext(uri_owl_InverseFunctionalProperty,X3)
<=> ( ip(X3)
& ! [X11,X12,X5] :
( ( iext(X3,X11,X5)
& iext(X3,X12,X5) )
=> X11 = X12 ) ) ),
file('/tmp/tmpoUvife/sel_SWB047+1.p_1',owl_char_inversefunctional) ).
fof(12,conjecture,
iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
file('/tmp/tmpoUvife/sel_SWB047+1.p_1',conclusion_rdfbased_sem_char_inversefunc_term) ).
fof(13,axiom,
( iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1)
& iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty) ),
file('/tmp/tmpoUvife/sel_SWB047+1.p_1',premise_rdfbased_sem_char_inversefunc_term) ).
fof(14,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[12]) ).
fof(15,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(24,plain,
! [X1,X5] :
( ~ iext(uri_owl_inverseOf,X1,X5)
| ( ip(X1)
& ip(X5) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(25,plain,
! [X6,X7] :
( ~ iext(uri_owl_inverseOf,X6,X7)
| ( ip(X6)
& ip(X7) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(26,plain,
! [X6,X7] :
( ( ip(X6)
| ~ iext(uri_owl_inverseOf,X6,X7) )
& ( ip(X7)
| ~ iext(uri_owl_inverseOf,X6,X7) ) ),
inference(distribute,[status(thm)],[25]) ).
cnf(28,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(29,plain,
! [X6,X7] :
( ( ~ iext(uri_owl_inverseOf,X6,X7)
| ( ip(X6)
& ip(X7)
& ! [X1,X5] :
( ( ~ iext(X6,X1,X5)
| iext(X7,X5,X1) )
& ( ~ iext(X7,X5,X1)
| iext(X6,X1,X5) ) ) ) )
& ( ~ ip(X6)
| ~ ip(X7)
| ? [X1,X5] :
( ( ~ iext(X6,X1,X5)
| ~ iext(X7,X5,X1) )
& ( iext(X6,X1,X5)
| iext(X7,X5,X1) ) )
| iext(uri_owl_inverseOf,X6,X7) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(30,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)],[29]) ).
fof(31,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,esk1_2(X8,X9),esk2_2(X8,X9))
| ~ iext(X9,esk2_2(X8,X9),esk1_2(X8,X9)) )
& ( iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| iext(X9,esk2_2(X8,X9),esk1_2(X8,X9)) ) )
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(skolemize,[status(esa)],[30]) ).
fof(32,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,esk1_2(X8,X9),esk2_2(X8,X9))
| ~ iext(X9,esk2_2(X8,X9),esk1_2(X8,X9)) )
& ( iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| iext(X9,esk2_2(X8,X9),esk1_2(X8,X9)) ) )
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(shift_quantors,[status(thm)],[31]) ).
fof(33,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,esk1_2(X8,X9),esk2_2(X8,X9))
| ~ iext(X9,esk2_2(X8,X9),esk1_2(X8,X9))
| ~ ip(X8)
| ~ ip(X9)
| iext(uri_owl_inverseOf,X8,X9) )
& ( iext(X8,esk1_2(X8,X9),esk2_2(X8,X9))
| iext(X9,esk2_2(X8,X9),esk1_2(X8,X9))
| ~ ip(X8)
| ~ ip(X9)
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(distribute,[status(thm)],[32]) ).
cnf(39,plain,
( iext(X2,X3,X4)
| ~ iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(44,plain,
! [X3] :
( ( ~ icext(uri_owl_FunctionalProperty,X3)
| ( ip(X3)
& ! [X1,X8,X9] :
( ~ iext(X3,X1,X8)
| ~ iext(X3,X1,X9)
| X8 = X9 ) ) )
& ( ~ ip(X3)
| ? [X1,X8,X9] :
( iext(X3,X1,X8)
& iext(X3,X1,X9)
& X8 != X9 )
| icext(uri_owl_FunctionalProperty,X3) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(45,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)],[44]) ).
fof(46,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,esk3_1(X10),esk4_1(X10))
& iext(X10,esk3_1(X10),esk5_1(X10))
& esk4_1(X10) != esk5_1(X10) )
| icext(uri_owl_FunctionalProperty,X10) ) ),
inference(skolemize,[status(esa)],[45]) ).
fof(47,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,esk3_1(X10),esk4_1(X10))
& iext(X10,esk3_1(X10),esk5_1(X10))
& esk4_1(X10) != esk5_1(X10) )
| icext(uri_owl_FunctionalProperty,X10) ) ),
inference(shift_quantors,[status(thm)],[46]) ).
fof(48,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,esk3_1(X10),esk4_1(X10))
| ~ ip(X10)
| icext(uri_owl_FunctionalProperty,X10) )
& ( iext(X10,esk3_1(X10),esk5_1(X10))
| ~ ip(X10)
| icext(uri_owl_FunctionalProperty,X10) )
& ( esk4_1(X10) != esk5_1(X10)
| ~ ip(X10)
| icext(uri_owl_FunctionalProperty,X10) ) ),
inference(distribute,[status(thm)],[47]) ).
cnf(53,plain,
( X2 = X3
| ~ icext(uri_owl_FunctionalProperty,X1)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(54,plain,
! [X1,X10] :
( ( ~ iext(uri_rdf_type,X1,X10)
| icext(X10,X1) )
& ( ~ icext(X10,X1)
| iext(uri_rdf_type,X1,X10) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(55,plain,
! [X11,X12] :
( ( ~ iext(uri_rdf_type,X11,X12)
| icext(X12,X11) )
& ( ~ icext(X12,X11)
| iext(uri_rdf_type,X11,X12) ) ),
inference(variable_rename,[status(thm)],[54]) ).
cnf(56,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(58,plain,
! [X3] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X3)
| ( ip(X3)
& ! [X11,X12,X5] :
( ~ iext(X3,X11,X5)
| ~ iext(X3,X12,X5)
| X11 = X12 ) ) )
& ( ~ ip(X3)
| ? [X11,X12,X5] :
( iext(X3,X11,X5)
& iext(X3,X12,X5)
& X11 != X12 )
| icext(uri_owl_InverseFunctionalProperty,X3) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(59,plain,
! [X13] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X13)
| ( ip(X13)
& ! [X14,X15,X16] :
( ~ iext(X13,X14,X16)
| ~ iext(X13,X15,X16)
| X14 = X15 ) ) )
& ( ~ ip(X13)
| ? [X17,X18,X19] :
( iext(X13,X17,X19)
& iext(X13,X18,X19)
& X17 != X18 )
| icext(uri_owl_InverseFunctionalProperty,X13) ) ),
inference(variable_rename,[status(thm)],[58]) ).
fof(60,plain,
! [X13] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X13)
| ( ip(X13)
& ! [X14,X15,X16] :
( ~ iext(X13,X14,X16)
| ~ iext(X13,X15,X16)
| X14 = X15 ) ) )
& ( ~ ip(X13)
| ( iext(X13,esk6_1(X13),esk8_1(X13))
& iext(X13,esk7_1(X13),esk8_1(X13))
& esk6_1(X13) != esk7_1(X13) )
| icext(uri_owl_InverseFunctionalProperty,X13) ) ),
inference(skolemize,[status(esa)],[59]) ).
fof(61,plain,
! [X13,X14,X15,X16] :
( ( ( ( ~ iext(X13,X14,X16)
| ~ iext(X13,X15,X16)
| X14 = X15 )
& ip(X13) )
| ~ icext(uri_owl_InverseFunctionalProperty,X13) )
& ( ~ ip(X13)
| ( iext(X13,esk6_1(X13),esk8_1(X13))
& iext(X13,esk7_1(X13),esk8_1(X13))
& esk6_1(X13) != esk7_1(X13) )
| icext(uri_owl_InverseFunctionalProperty,X13) ) ),
inference(shift_quantors,[status(thm)],[60]) ).
fof(62,plain,
! [X13,X14,X15,X16] :
( ( ~ iext(X13,X14,X16)
| ~ iext(X13,X15,X16)
| X14 = X15
| ~ icext(uri_owl_InverseFunctionalProperty,X13) )
& ( ip(X13)
| ~ icext(uri_owl_InverseFunctionalProperty,X13) )
& ( iext(X13,esk6_1(X13),esk8_1(X13))
| ~ ip(X13)
| icext(uri_owl_InverseFunctionalProperty,X13) )
& ( iext(X13,esk7_1(X13),esk8_1(X13))
| ~ ip(X13)
| icext(uri_owl_InverseFunctionalProperty,X13) )
& ( esk6_1(X13) != esk7_1(X13)
| ~ ip(X13)
| icext(uri_owl_InverseFunctionalProperty,X13) ) ),
inference(distribute,[status(thm)],[61]) ).
cnf(63,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1)
| esk6_1(X1) != esk7_1(X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(64,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk7_1(X1),esk8_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(65,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk6_1(X1),esk8_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(68,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(69,plain,
iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(70,plain,
iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(72,plain,
ip(uri_ex_p2),
inference(spm,[status(thm)],[28,70,theory(equality)]) ).
cnf(79,plain,
( iext(uri_ex_p1,X1,X2)
| ~ iext(uri_ex_p2,X2,X1) ),
inference(spm,[status(thm)],[39,70,theory(equality)]) ).
cnf(158,plain,
( X1 = X2
| ~ iext(uri_ex_p1,X3,X1)
| ~ icext(uri_owl_FunctionalProperty,uri_ex_p1)
| ~ iext(uri_ex_p2,X2,X3) ),
inference(spm,[status(thm)],[53,79,theory(equality)]) ).
cnf(370,plain,
( X1 = X2
| ~ iext(uri_ex_p1,X3,X1)
| ~ iext(uri_ex_p2,X2,X3)
| ~ iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty) ),
inference(spm,[status(thm)],[158,57,theory(equality)]) ).
cnf(371,plain,
( X1 = X2
| ~ iext(uri_ex_p1,X3,X1)
| ~ iext(uri_ex_p2,X2,X3)
| $false ),
inference(rw,[status(thm)],[370,69,theory(equality)]) ).
cnf(372,plain,
( X1 = X2
| ~ iext(uri_ex_p1,X3,X1)
| ~ iext(uri_ex_p2,X2,X3) ),
inference(cn,[status(thm)],[371,theory(equality)]) ).
cnf(377,plain,
( X1 = X2
| ~ iext(uri_ex_p2,X2,X3)
| ~ iext(uri_ex_p2,X1,X3) ),
inference(spm,[status(thm)],[372,79,theory(equality)]) ).
cnf(386,plain,
( X1 = esk6_1(uri_ex_p2)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| ~ iext(uri_ex_p2,X1,esk8_1(uri_ex_p2))
| ~ ip(uri_ex_p2) ),
inference(spm,[status(thm)],[377,65,theory(equality)]) ).
cnf(394,plain,
( X1 = esk6_1(uri_ex_p2)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| ~ iext(uri_ex_p2,X1,esk8_1(uri_ex_p2))
| $false ),
inference(rw,[status(thm)],[386,72,theory(equality)]) ).
cnf(395,plain,
( X1 = esk6_1(uri_ex_p2)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| ~ iext(uri_ex_p2,X1,esk8_1(uri_ex_p2)) ),
inference(cn,[status(thm)],[394,theory(equality)]) ).
cnf(408,plain,
( esk7_1(uri_ex_p2) = esk6_1(uri_ex_p2)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| ~ ip(uri_ex_p2) ),
inference(spm,[status(thm)],[395,64,theory(equality)]) ).
cnf(409,plain,
( esk7_1(uri_ex_p2) = esk6_1(uri_ex_p2)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| $false ),
inference(rw,[status(thm)],[408,72,theory(equality)]) ).
cnf(410,plain,
( esk7_1(uri_ex_p2) = esk6_1(uri_ex_p2)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
inference(cn,[status(thm)],[409,theory(equality)]) ).
cnf(411,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| ~ ip(uri_ex_p2) ),
inference(spm,[status(thm)],[63,410,theory(equality)]) ).
cnf(416,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
| $false ),
inference(rw,[status(thm)],[411,72,theory(equality)]) ).
cnf(417,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p2),
inference(cn,[status(thm)],[416,theory(equality)]) ).
cnf(421,plain,
iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
inference(spm,[status(thm)],[56,417,theory(equality)]) ).
cnf(435,plain,
$false,
inference(sr,[status(thm)],[421,68,theory(equality)]) ).
cnf(436,plain,
$false,
435,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB047+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpoUvife/sel_SWB047+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB047+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB047+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB047+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
%
%------------------------------------------------------------------------------