TSTP Solution File: SWB031+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB031+2 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 : Wed Feb 16 00:01:30 EST 2011
% Result : Unsatisfiable 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 239 ( 28 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 310 ( 117 ~; 127 |; 60 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 84 ( 11 sgn 50 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : ~ icext(uri_owl_Nothing,X1),
file('/tmp/tmp0gDGj-/sel_SWB031+2.p_1',owl_class_nothing_ext) ).
fof(2,axiom,
! [X1] :
( icext(uri_owl_Thing,X1)
<=> ir(X1) ),
file('/tmp/tmp0gDGj-/sel_SWB031+2.p_1',owl_class_thing_ext) ).
fof(3,axiom,
! [X2,X3,X4] :
( ( iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X2,X3)
<=> ( ic(X2)
& ! [X1] :
( icext(X2,X1)
<=> X1 = X4 ) ) ) ),
file('/tmp/tmp0gDGj-/sel_SWB031+2.p_1',owl_enum_class_001) ).
fof(4,axiom,
? [X5,X6] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,X5)
& iext(uri_owl_oneOf,X5,X6)
& iext(uri_rdf_first,X6,uri_ex_w)
& iext(uri_rdf_rest,X6,uri_rdf_nil) ),
file('/tmp/tmp0gDGj-/sel_SWB031+2.p_1',testcase_premise_fullish_031_Large_Universe) ).
fof(5,axiom,
! [X7,X8] :
( iext(uri_owl_equivalentClass,X7,X8)
<=> ( ic(X7)
& ic(X8)
& ! [X1] :
( icext(X7,X1)
<=> icext(X8,X1) ) ) ),
file('/tmp/tmp0gDGj-/sel_SWB031+2.p_1',owl_eqdis_equivalentclass) ).
fof(6,axiom,
! [X1] : ir(X1),
file('/tmp/tmp0gDGj-/sel_SWB031+2.p_1',simple_ir) ).
fof(7,plain,
! [X1] : ~ icext(uri_owl_Nothing,X1),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(8,plain,
! [X2] : ~ icext(uri_owl_Nothing,X2),
inference(variable_rename,[status(thm)],[7]) ).
cnf(9,plain,
~ icext(uri_owl_Nothing,X1),
inference(split_conjunct,[status(thm)],[8]) ).
fof(10,plain,
! [X1] :
( ( ~ icext(uri_owl_Thing,X1)
| ir(X1) )
& ( ~ ir(X1)
| icext(uri_owl_Thing,X1) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(11,plain,
! [X2] :
( ( ~ icext(uri_owl_Thing,X2)
| ir(X2) )
& ( ~ ir(X2)
| icext(uri_owl_Thing,X2) ) ),
inference(variable_rename,[status(thm)],[10]) ).
cnf(12,plain,
( icext(uri_owl_Thing,X1)
| ~ ir(X1) ),
inference(split_conjunct,[status(thm)],[11]) ).
fof(14,plain,
! [X2,X3,X4] :
( ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X2,X3)
| ( ic(X2)
& ! [X1] :
( ( ~ icext(X2,X1)
| X1 = X4 )
& ( X1 != X4
| icext(X2,X1) ) ) ) )
& ( ~ ic(X2)
| ? [X1] :
( ( ~ icext(X2,X1)
| X1 != X4 )
& ( icext(X2,X1)
| X1 = X4 ) )
| iext(uri_owl_oneOf,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(15,plain,
! [X5,X6,X7] :
( ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X5,X6)
| ( ic(X5)
& ! [X8] :
( ( ~ icext(X5,X8)
| X8 = X7 )
& ( X8 != X7
| icext(X5,X8) ) ) ) )
& ( ~ ic(X5)
| ? [X9] :
( ( ~ icext(X5,X9)
| X9 != X7 )
& ( icext(X5,X9)
| X9 = X7 ) )
| iext(uri_owl_oneOf,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(16,plain,
! [X5,X6,X7] :
( ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X5,X6)
| ( ic(X5)
& ! [X8] :
( ( ~ icext(X5,X8)
| X8 = X7 )
& ( X8 != X7
| icext(X5,X8) ) ) ) )
& ( ~ ic(X5)
| ( ( ~ icext(X5,esk1_3(X5,X6,X7))
| esk1_3(X5,X6,X7) != X7 )
& ( icext(X5,esk1_3(X5,X6,X7))
| esk1_3(X5,X6,X7) = X7 ) )
| iext(uri_owl_oneOf,X5,X6) ) ) ),
inference(skolemize,[status(esa)],[15]) ).
fof(17,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ icext(X5,X8)
| X8 = X7 )
& ( X8 != X7
| icext(X5,X8) )
& ic(X5) )
| ~ iext(uri_owl_oneOf,X5,X6) )
& ( ~ ic(X5)
| ( ( ~ icext(X5,esk1_3(X5,X6,X7))
| esk1_3(X5,X6,X7) != X7 )
& ( icext(X5,esk1_3(X5,X6,X7))
| esk1_3(X5,X6,X7) = X7 ) )
| iext(uri_owl_oneOf,X5,X6) ) )
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[16]) ).
fof(18,plain,
! [X5,X6,X7,X8] :
( ( ~ icext(X5,X8)
| X8 = X7
| ~ iext(uri_owl_oneOf,X5,X6)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) )
& ( X8 != X7
| icext(X5,X8)
| ~ iext(uri_owl_oneOf,X5,X6)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) )
& ( ic(X5)
| ~ iext(uri_owl_oneOf,X5,X6)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) )
& ( ~ icext(X5,esk1_3(X5,X6,X7))
| esk1_3(X5,X6,X7) != X7
| ~ ic(X5)
| iext(uri_owl_oneOf,X5,X6)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) )
& ( icext(X5,esk1_3(X5,X6,X7))
| esk1_3(X5,X6,X7) = X7
| ~ ic(X5)
| iext(uri_owl_oneOf,X5,X6)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[17]) ).
cnf(23,plain,
( X4 = X2
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X3,X1)
| ~ icext(X3,X4) ),
inference(split_conjunct,[status(thm)],[18]) ).
fof(24,plain,
? [X7,X8] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,X7)
& iext(uri_owl_oneOf,X7,X8)
& iext(uri_rdf_first,X8,uri_ex_w)
& iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[4]) ).
fof(25,plain,
( iext(uri_owl_equivalentClass,uri_owl_Thing,esk2_0)
& iext(uri_owl_oneOf,esk2_0,esk3_0)
& iext(uri_rdf_first,esk3_0,uri_ex_w)
& iext(uri_rdf_rest,esk3_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[24]) ).
cnf(26,plain,
iext(uri_rdf_rest,esk3_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(27,plain,
iext(uri_rdf_first,esk3_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(28,plain,
iext(uri_owl_oneOf,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(29,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,esk2_0),
inference(split_conjunct,[status(thm)],[25]) ).
fof(30,plain,
! [X7,X8] :
( ( ~ iext(uri_owl_equivalentClass,X7,X8)
| ( ic(X7)
& ic(X8)
& ! [X1] :
( ( ~ icext(X7,X1)
| icext(X8,X1) )
& ( ~ icext(X8,X1)
| icext(X7,X1) ) ) ) )
& ( ~ ic(X7)
| ~ ic(X8)
| ? [X1] :
( ( ~ icext(X7,X1)
| ~ icext(X8,X1) )
& ( icext(X7,X1)
| icext(X8,X1) ) )
| iext(uri_owl_equivalentClass,X7,X8) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(31,plain,
! [X9,X10] :
( ( ~ iext(uri_owl_equivalentClass,X9,X10)
| ( ic(X9)
& ic(X10)
& ! [X11] :
( ( ~ icext(X9,X11)
| icext(X10,X11) )
& ( ~ icext(X10,X11)
| icext(X9,X11) ) ) ) )
& ( ~ ic(X9)
| ~ ic(X10)
| ? [X12] :
( ( ~ icext(X9,X12)
| ~ icext(X10,X12) )
& ( icext(X9,X12)
| icext(X10,X12) ) )
| iext(uri_owl_equivalentClass,X9,X10) ) ),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,plain,
! [X9,X10] :
( ( ~ iext(uri_owl_equivalentClass,X9,X10)
| ( ic(X9)
& ic(X10)
& ! [X11] :
( ( ~ icext(X9,X11)
| icext(X10,X11) )
& ( ~ icext(X10,X11)
| icext(X9,X11) ) ) ) )
& ( ~ ic(X9)
| ~ ic(X10)
| ( ( ~ icext(X9,esk4_2(X9,X10))
| ~ icext(X10,esk4_2(X9,X10)) )
& ( icext(X9,esk4_2(X9,X10))
| icext(X10,esk4_2(X9,X10)) ) )
| iext(uri_owl_equivalentClass,X9,X10) ) ),
inference(skolemize,[status(esa)],[31]) ).
fof(33,plain,
! [X9,X10,X11] :
( ( ( ( ~ icext(X9,X11)
| icext(X10,X11) )
& ( ~ icext(X10,X11)
| icext(X9,X11) )
& ic(X9)
& ic(X10) )
| ~ iext(uri_owl_equivalentClass,X9,X10) )
& ( ~ ic(X9)
| ~ ic(X10)
| ( ( ~ icext(X9,esk4_2(X9,X10))
| ~ icext(X10,esk4_2(X9,X10)) )
& ( icext(X9,esk4_2(X9,X10))
| icext(X10,esk4_2(X9,X10)) ) )
| iext(uri_owl_equivalentClass,X9,X10) ) ),
inference(shift_quantors,[status(thm)],[32]) ).
fof(34,plain,
! [X9,X10,X11] :
( ( ~ icext(X9,X11)
| icext(X10,X11)
| ~ iext(uri_owl_equivalentClass,X9,X10) )
& ( ~ icext(X10,X11)
| icext(X9,X11)
| ~ iext(uri_owl_equivalentClass,X9,X10) )
& ( ic(X9)
| ~ iext(uri_owl_equivalentClass,X9,X10) )
& ( ic(X10)
| ~ iext(uri_owl_equivalentClass,X9,X10) )
& ( ~ icext(X9,esk4_2(X9,X10))
| ~ icext(X10,esk4_2(X9,X10))
| ~ ic(X9)
| ~ ic(X10)
| iext(uri_owl_equivalentClass,X9,X10) )
& ( icext(X9,esk4_2(X9,X10))
| icext(X10,esk4_2(X9,X10))
| ~ ic(X9)
| ~ ic(X10)
| iext(uri_owl_equivalentClass,X9,X10) ) ),
inference(distribute,[status(thm)],[33]) ).
cnf(40,plain,
( icext(X2,X3)
| ~ iext(uri_owl_equivalentClass,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(41,plain,
! [X2] : ir(X2),
inference(variable_rename,[status(thm)],[6]) ).
cnf(42,plain,
ir(X1),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(44,plain,
( icext(uri_owl_Thing,X1)
| $false ),
inference(rw,[status(thm)],[12,42,theory(equality)]),
[unfolding] ).
cnf(47,plain,
( icext(esk2_0,X1)
| ~ icext(uri_owl_Thing,X1) ),
inference(spm,[status(thm)],[40,29,theory(equality)]) ).
cnf(48,plain,
( icext(esk2_0,X1)
| $false ),
inference(rw,[status(thm)],[47,44,theory(equality)]) ).
cnf(49,plain,
icext(esk2_0,X1),
inference(cn,[status(thm)],[48,theory(equality)]) ).
cnf(56,plain,
( uri_ex_w = X1
| ~ iext(uri_rdf_rest,esk3_0,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X2,esk3_0)
| ~ icext(X2,X1) ),
inference(spm,[status(thm)],[23,27,theory(equality)]) ).
cnf(57,plain,
( uri_ex_w = X1
| $false
| ~ iext(uri_owl_oneOf,X2,esk3_0)
| ~ icext(X2,X1) ),
inference(rw,[status(thm)],[56,26,theory(equality)]) ).
cnf(58,plain,
( uri_ex_w = X1
| ~ iext(uri_owl_oneOf,X2,esk3_0)
| ~ icext(X2,X1) ),
inference(cn,[status(thm)],[57,theory(equality)]) ).
cnf(75,plain,
( uri_ex_w = X1
| ~ iext(uri_owl_oneOf,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[58,49,theory(equality)]) ).
cnf(77,plain,
( uri_ex_w = X1
| $false ),
inference(rw,[status(thm)],[75,28,theory(equality)]) ).
cnf(78,plain,
uri_ex_w = X1,
inference(cn,[status(thm)],[77,theory(equality)]) ).
cnf(83,plain,
~ icext(uri_ex_w,X1),
inference(rw,[status(thm)],[9,78,theory(equality)]) ).
cnf(97,plain,
~ icext(X2,X1),
inference(spm,[status(thm)],[83,78,theory(equality)]) ).
cnf(99,plain,
$false,
inference(sr,[status(thm)],[44,97,theory(equality)]) ).
cnf(100,plain,
$false,
99,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB031+2.p
% --creating new selector for []
% -running prover on /tmp/tmp0gDGj-/sel_SWB031+2.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem SWB031+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB031+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB031+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Unsatisfiable
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------