TSTP Solution File: SWB040+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB040+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 00:39:15 EST 2011
% Result : Theorem 0.47s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 12 unt; 0 def)
% Number of atoms : 214 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 256 ( 96 ~; 99 |; 52 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 89 ( 1 sgn 57 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X4,X3] :
( iext(uri_owl_complementOf,X4,X3)
=> ( ic(X4)
& ic(X3)
& ! [X1] :
( icext(X4,X1)
<=> ~ icext(X3,X1) ) ) ),
file('/tmp/tmpfu1I7R/sel_SWB040+1.p_1',owl_bool_complementof_class) ).
fof(13,axiom,
! [X3,X5] :
( iext(uri_rdfs_subClassOf,X3,X5)
=> ( ic(X3)
& ic(X5)
& ! [X1] :
( icext(X3,X1)
=> icext(X5,X1) ) ) ),
file('/tmp/tmpfu1I7R/sel_SWB040+1.p_1',rdfs_subclassof_main) ).
fof(18,axiom,
! [X10,X11] :
( iext(uri_rdfs_subClassOf,X10,X11)
<=> ( ic(X10)
& ic(X11)
& ! [X1] :
( icext(X10,X1)
=> icext(X11,X1) ) ) ),
file('/tmp/tmpfu1I7R/sel_SWB040+1.p_1',owl_rdfsext_subclassof) ).
fof(21,axiom,
! [X1,X3] :
( iext(uri_rdf_type,X1,X3)
<=> icext(X3,X1) ),
file('/tmp/tmpfu1I7R/sel_SWB040+1.p_1',rdfs_cext_def) ).
fof(23,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
file('/tmp/tmpfu1I7R/sel_SWB040+1.p_1',conclusion_rdfbased_sem_bool_tollens) ).
fof(24,axiom,
( iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2)
& iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2) ),
file('/tmp/tmpfu1I7R/sel_SWB040+1.p_1',premise_rdfbased_sem_bool_tollens) ).
fof(25,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(assume_negation,[status(cth)],[23]) ).
fof(26,plain,
! [X4,X3] :
( iext(uri_owl_complementOf,X4,X3)
=> ( ic(X4)
& ic(X3)
& ! [X1] :
( icext(X4,X1)
<=> ~ icext(X3,X1) ) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(27,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(fof_simplification,[status(thm)],[25,theory(equality)]) ).
fof(38,plain,
! [X4,X3] :
( ~ iext(uri_owl_complementOf,X4,X3)
| ( ic(X4)
& ic(X3)
& ! [X1] :
( ( ~ icext(X4,X1)
| ~ icext(X3,X1) )
& ( icext(X3,X1)
| icext(X4,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(39,plain,
! [X5,X6] :
( ~ iext(uri_owl_complementOf,X5,X6)
| ( ic(X5)
& ic(X6)
& ! [X7] :
( ( ~ icext(X5,X7)
| ~ icext(X6,X7) )
& ( icext(X6,X7)
| icext(X5,X7) ) ) ) ),
inference(variable_rename,[status(thm)],[38]) ).
fof(40,plain,
! [X5,X6,X7] :
( ( ( ~ icext(X5,X7)
| ~ icext(X6,X7) )
& ( icext(X6,X7)
| icext(X5,X7) )
& ic(X5)
& ic(X6) )
| ~ iext(uri_owl_complementOf,X5,X6) ),
inference(shift_quantors,[status(thm)],[39]) ).
fof(41,plain,
! [X5,X6,X7] :
( ( ~ icext(X5,X7)
| ~ icext(X6,X7)
| ~ iext(uri_owl_complementOf,X5,X6) )
& ( icext(X6,X7)
| icext(X5,X7)
| ~ iext(uri_owl_complementOf,X5,X6) )
& ( ic(X5)
| ~ iext(uri_owl_complementOf,X5,X6) )
& ( ic(X6)
| ~ iext(uri_owl_complementOf,X5,X6) ) ),
inference(distribute,[status(thm)],[40]) ).
cnf(43,plain,
( ic(X1)
| ~ iext(uri_owl_complementOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(44,plain,
( icext(X1,X3)
| icext(X2,X3)
| ~ iext(uri_owl_complementOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(45,plain,
( ~ iext(uri_owl_complementOf,X1,X2)
| ~ icext(X2,X3)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(71,plain,
! [X3,X5] :
( ~ iext(uri_rdfs_subClassOf,X3,X5)
| ( ic(X3)
& ic(X5)
& ! [X1] :
( ~ icext(X3,X1)
| icext(X5,X1) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(72,plain,
! [X6,X7] :
( ~ iext(uri_rdfs_subClassOf,X6,X7)
| ( ic(X6)
& ic(X7)
& ! [X8] :
( ~ icext(X6,X8)
| icext(X7,X8) ) ) ),
inference(variable_rename,[status(thm)],[71]) ).
fof(73,plain,
! [X6,X7,X8] :
( ( ( ~ icext(X6,X8)
| icext(X7,X8) )
& ic(X6)
& ic(X7) )
| ~ iext(uri_rdfs_subClassOf,X6,X7) ),
inference(shift_quantors,[status(thm)],[72]) ).
fof(74,plain,
! [X6,X7,X8] :
( ( ~ icext(X6,X8)
| icext(X7,X8)
| ~ iext(uri_rdfs_subClassOf,X6,X7) )
& ( ic(X6)
| ~ iext(uri_rdfs_subClassOf,X6,X7) )
& ( ic(X7)
| ~ iext(uri_rdfs_subClassOf,X6,X7) ) ),
inference(distribute,[status(thm)],[73]) ).
cnf(77,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_subClassOf,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(91,plain,
! [X10,X11] :
( ( ~ iext(uri_rdfs_subClassOf,X10,X11)
| ( ic(X10)
& ic(X11)
& ! [X1] :
( ~ icext(X10,X1)
| icext(X11,X1) ) ) )
& ( ~ ic(X10)
| ~ ic(X11)
| ? [X1] :
( icext(X10,X1)
& ~ icext(X11,X1) )
| iext(uri_rdfs_subClassOf,X10,X11) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(92,plain,
! [X12,X13] :
( ( ~ iext(uri_rdfs_subClassOf,X12,X13)
| ( ic(X12)
& ic(X13)
& ! [X14] :
( ~ icext(X12,X14)
| icext(X13,X14) ) ) )
& ( ~ ic(X12)
| ~ ic(X13)
| ? [X15] :
( icext(X12,X15)
& ~ icext(X13,X15) )
| iext(uri_rdfs_subClassOf,X12,X13) ) ),
inference(variable_rename,[status(thm)],[91]) ).
fof(93,plain,
! [X12,X13] :
( ( ~ iext(uri_rdfs_subClassOf,X12,X13)
| ( ic(X12)
& ic(X13)
& ! [X14] :
( ~ icext(X12,X14)
| icext(X13,X14) ) ) )
& ( ~ ic(X12)
| ~ ic(X13)
| ( icext(X12,esk2_2(X12,X13))
& ~ icext(X13,esk2_2(X12,X13)) )
| iext(uri_rdfs_subClassOf,X12,X13) ) ),
inference(skolemize,[status(esa)],[92]) ).
fof(94,plain,
! [X12,X13,X14] :
( ( ( ( ~ icext(X12,X14)
| icext(X13,X14) )
& ic(X12)
& ic(X13) )
| ~ iext(uri_rdfs_subClassOf,X12,X13) )
& ( ~ ic(X12)
| ~ ic(X13)
| ( icext(X12,esk2_2(X12,X13))
& ~ icext(X13,esk2_2(X12,X13)) )
| iext(uri_rdfs_subClassOf,X12,X13) ) ),
inference(shift_quantors,[status(thm)],[93]) ).
fof(95,plain,
! [X12,X13,X14] :
( ( ~ icext(X12,X14)
| icext(X13,X14)
| ~ iext(uri_rdfs_subClassOf,X12,X13) )
& ( ic(X12)
| ~ iext(uri_rdfs_subClassOf,X12,X13) )
& ( ic(X13)
| ~ iext(uri_rdfs_subClassOf,X12,X13) )
& ( icext(X12,esk2_2(X12,X13))
| ~ ic(X12)
| ~ ic(X13)
| iext(uri_rdfs_subClassOf,X12,X13) )
& ( ~ icext(X13,esk2_2(X12,X13))
| ~ ic(X12)
| ~ ic(X13)
| iext(uri_rdfs_subClassOf,X12,X13) ) ),
inference(distribute,[status(thm)],[94]) ).
cnf(96,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X2)
| ~ ic(X1)
| ~ icext(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(97,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| icext(X1,esk2_2(X1,X2))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(110,plain,
! [X1,X3] :
( ( ~ iext(uri_rdf_type,X1,X3)
| icext(X3,X1) )
& ( ~ icext(X3,X1)
| iext(uri_rdf_type,X1,X3) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(111,plain,
! [X4,X5] :
( ( ~ iext(uri_rdf_type,X4,X5)
| icext(X5,X4) )
& ( ~ icext(X5,X4)
| iext(uri_rdf_type,X4,X5) ) ),
inference(variable_rename,[status(thm)],[110]) ).
cnf(112,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(113,plain,
( icext(X1,X2)
| ~ iext(uri_rdf_type,X2,X1) ),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(115,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(116,plain,
iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(117,plain,
iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(118,plain,
iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(153,plain,
ic(uri_ex_n2),
inference(spm,[status(thm)],[43,118,theory(equality)]) ).
cnf(154,plain,
ic(uri_ex_n1),
inference(spm,[status(thm)],[43,117,theory(equality)]) ).
cnf(159,plain,
( icext(uri_ex_c2,X1)
| ~ icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[77,116,theory(equality)]) ).
cnf(164,plain,
( icext(uri_ex_n1,X1)
| icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[44,117,theory(equality)]) ).
cnf(166,plain,
( ~ icext(uri_ex_c2,X1)
| ~ icext(uri_ex_n2,X1) ),
inference(spm,[status(thm)],[45,118,theory(equality)]) ).
cnf(169,plain,
( iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X2)
| ~ ic(X1)
| ~ iext(uri_rdf_type,esk2_2(X1,X2),X2) ),
inference(spm,[status(thm)],[96,113,theory(equality)]) ).
cnf(174,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,X1)
| ~ icext(uri_ex_c2,esk2_2(uri_ex_n2,X1))
| ~ ic(X1)
| ~ ic(uri_ex_n2) ),
inference(spm,[status(thm)],[166,97,theory(equality)]) ).
cnf(189,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,X1)
| ~ icext(uri_ex_c2,esk2_2(uri_ex_n2,X1))
| ~ ic(X1)
| $false ),
inference(rw,[status(thm)],[174,153,theory(equality)]) ).
cnf(190,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,X1)
| ~ icext(uri_ex_c2,esk2_2(uri_ex_n2,X1))
| ~ ic(X1) ),
inference(cn,[status(thm)],[189,theory(equality)]) ).
cnf(202,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,X1)
| ~ ic(X1)
| ~ icext(uri_ex_c1,esk2_2(uri_ex_n2,X1)) ),
inference(spm,[status(thm)],[190,159,theory(equality)]) ).
cnf(231,plain,
( iext(uri_rdf_type,X1,uri_ex_n1)
| icext(uri_ex_c1,X1) ),
inference(spm,[status(thm)],[112,164,theory(equality)]) ).
cnf(255,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,X1)
| iext(uri_rdf_type,esk2_2(uri_ex_n2,X1),uri_ex_n1)
| ~ ic(X1) ),
inference(spm,[status(thm)],[202,231,theory(equality)]) ).
cnf(331,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
| ~ ic(uri_ex_n1)
| ~ ic(uri_ex_n2) ),
inference(spm,[status(thm)],[169,255,theory(equality)]) ).
cnf(333,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
| $false
| ~ ic(uri_ex_n2) ),
inference(rw,[status(thm)],[331,154,theory(equality)]) ).
cnf(334,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
| $false
| $false ),
inference(rw,[status(thm)],[333,153,theory(equality)]) ).
cnf(335,plain,
iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(cn,[status(thm)],[334,theory(equality)]) ).
cnf(336,plain,
$false,
inference(sr,[status(thm)],[335,115,theory(equality)]) ).
cnf(337,plain,
$false,
336,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB040+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpfu1I7R/sel_SWB040+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB040+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB040+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB040+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
%
%------------------------------------------------------------------------------