TSTP Solution File: SWB031+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB031+1 : 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 00:01:25 EST 2011
% Result : Unsatisfiable 0.32s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 57 ( 15 unt; 0 def)
% Number of atoms : 291 ( 29 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 374 ( 140 ~; 151 |; 74 &)
% ( 8 <=>; 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 : 13 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 107 ( 14 sgn 64 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1] : ir(X1),
file('/tmp/tmpl6KDuC/sel_SWB031+1.p_1',simple_ir) ).
fof(13,axiom,
! [X1] :
( icext(uri_rdfs_Resource,X1)
<=> ir(X1) ),
file('/tmp/tmpl6KDuC/sel_SWB031+1.p_1',owl_class_resource_ext) ).
fof(17,axiom,
! [X5] :
( iext(uri_owl_oneOf,X5,uri_rdf_nil)
<=> ( ic(X5)
& ! [X1] : ~ icext(X5,X1) ) ),
file('/tmp/tmpl6KDuC/sel_SWB031+1.p_1',owl_enum_class_000) ).
fof(18,axiom,
! [X5,X6,X12] :
( ( iext(uri_rdf_first,X6,X12)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X5,X6)
<=> ( ic(X5)
& ! [X1] :
( icext(X5,X1)
<=> X1 = X12 ) ) ) ),
file('/tmp/tmpl6KDuC/sel_SWB031+1.p_1',owl_enum_class_001) ).
fof(21,axiom,
! [X15,X16] :
( iext(uri_owl_equivalentClass,X15,X16)
<=> ( ic(X15)
& ic(X16)
& ! [X1] :
( icext(X15,X1)
<=> icext(X16,X1) ) ) ),
file('/tmp/tmpl6KDuC/sel_SWB031+1.p_1',owl_eqdis_equivalentclass) ).
fof(27,axiom,
! [X1] :
( icext(uri_owl_Thing,X1)
<=> ir(X1) ),
file('/tmp/tmpl6KDuC/sel_SWB031+1.p_1',owl_class_thing_ext) ).
fof(43,axiom,
? [X19,X20] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,X19)
& iext(uri_owl_oneOf,X19,X20)
& iext(uri_rdf_first,X20,uri_ex_w)
& iext(uri_rdf_rest,X20,uri_rdf_nil) ),
file('/tmp/tmpl6KDuC/sel_SWB031+1.p_1',testcase_premise_fullish_031_Large_Universe) ).
fof(44,plain,
! [X5] :
( iext(uri_owl_oneOf,X5,uri_rdf_nil)
<=> ( ic(X5)
& ! [X1] : ~ icext(X5,X1) ) ),
inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).
fof(71,plain,
! [X2] : ir(X2),
inference(variable_rename,[status(thm)],[7]) ).
cnf(72,plain,
ir(X1),
inference(split_conjunct,[status(thm)],[71]) ).
fof(82,plain,
! [X1] :
( ( ~ icext(uri_rdfs_Resource,X1)
| ir(X1) )
& ( ~ ir(X1)
| icext(uri_rdfs_Resource,X1) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(83,plain,
! [X2] :
( ( ~ icext(uri_rdfs_Resource,X2)
| ir(X2) )
& ( ~ ir(X2)
| icext(uri_rdfs_Resource,X2) ) ),
inference(variable_rename,[status(thm)],[82]) ).
cnf(84,plain,
( icext(uri_rdfs_Resource,X1)
| ~ ir(X1) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(93,plain,
! [X5] :
( ( ~ iext(uri_owl_oneOf,X5,uri_rdf_nil)
| ( ic(X5)
& ! [X1] : ~ icext(X5,X1) ) )
& ( ~ ic(X5)
| ? [X1] : icext(X5,X1)
| iext(uri_owl_oneOf,X5,uri_rdf_nil) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(94,plain,
! [X6] :
( ( ~ iext(uri_owl_oneOf,X6,uri_rdf_nil)
| ( ic(X6)
& ! [X7] : ~ icext(X6,X7) ) )
& ( ~ ic(X6)
| ? [X8] : icext(X6,X8)
| iext(uri_owl_oneOf,X6,uri_rdf_nil) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,plain,
! [X6] :
( ( ~ iext(uri_owl_oneOf,X6,uri_rdf_nil)
| ( ic(X6)
& ! [X7] : ~ icext(X6,X7) ) )
& ( ~ ic(X6)
| icext(X6,esk4_1(X6))
| iext(uri_owl_oneOf,X6,uri_rdf_nil) ) ),
inference(skolemize,[status(esa)],[94]) ).
fof(96,plain,
! [X6,X7] :
( ( ( ~ icext(X6,X7)
& ic(X6) )
| ~ iext(uri_owl_oneOf,X6,uri_rdf_nil) )
& ( ~ ic(X6)
| icext(X6,esk4_1(X6))
| iext(uri_owl_oneOf,X6,uri_rdf_nil) ) ),
inference(shift_quantors,[status(thm)],[95]) ).
fof(97,plain,
! [X6,X7] :
( ( ~ icext(X6,X7)
| ~ iext(uri_owl_oneOf,X6,uri_rdf_nil) )
& ( ic(X6)
| ~ iext(uri_owl_oneOf,X6,uri_rdf_nil) )
& ( ~ ic(X6)
| icext(X6,esk4_1(X6))
| iext(uri_owl_oneOf,X6,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[96]) ).
cnf(100,plain,
( ~ iext(uri_owl_oneOf,X1,uri_rdf_nil)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(101,plain,
! [X5,X6,X12] :
( ~ iext(uri_rdf_first,X6,X12)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X5,X6)
| ( ic(X5)
& ! [X1] :
( ( ~ icext(X5,X1)
| X1 = X12 )
& ( X1 != X12
| icext(X5,X1) ) ) ) )
& ( ~ ic(X5)
| ? [X1] :
( ( ~ icext(X5,X1)
| X1 != X12 )
& ( icext(X5,X1)
| X1 = X12 ) )
| iext(uri_owl_oneOf,X5,X6) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(102,plain,
! [X13,X14,X15] :
( ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X13,X14)
| ( ic(X13)
& ! [X16] :
( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) ) ) ) )
& ( ~ ic(X13)
| ? [X17] :
( ( ~ icext(X13,X17)
| X17 != X15 )
& ( icext(X13,X17)
| X17 = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) ) ),
inference(variable_rename,[status(thm)],[101]) ).
fof(103,plain,
! [X13,X14,X15] :
( ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X13,X14)
| ( ic(X13)
& ! [X16] :
( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) ) ) ) )
& ( ~ ic(X13)
| ( ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15 )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) ) ),
inference(skolemize,[status(esa)],[102]) ).
fof(104,plain,
! [X13,X14,X15,X16] :
( ( ( ( ( ~ icext(X13,X16)
| X16 = X15 )
& ( X16 != X15
| icext(X13,X16) )
& ic(X13) )
| ~ iext(uri_owl_oneOf,X13,X14) )
& ( ~ ic(X13)
| ( ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15 )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15 ) )
| iext(uri_owl_oneOf,X13,X14) ) )
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[103]) ).
fof(105,plain,
! [X13,X14,X15,X16] :
( ( ~ icext(X13,X16)
| X16 = X15
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( X16 != X15
| icext(X13,X16)
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( ic(X13)
| ~ iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( ~ icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) != X15
| ~ ic(X13)
| iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
& ( icext(X13,esk5_3(X13,X14,X15))
| esk5_3(X13,X14,X15) = X15
| ~ ic(X13)
| iext(uri_owl_oneOf,X13,X14)
| ~ iext(uri_rdf_first,X14,X15)
| ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[104]) ).
cnf(110,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)],[105]) ).
fof(137,plain,
! [X15,X16] :
( ( ~ iext(uri_owl_equivalentClass,X15,X16)
| ( ic(X15)
& ic(X16)
& ! [X1] :
( ( ~ icext(X15,X1)
| icext(X16,X1) )
& ( ~ icext(X16,X1)
| icext(X15,X1) ) ) ) )
& ( ~ ic(X15)
| ~ ic(X16)
| ? [X1] :
( ( ~ icext(X15,X1)
| ~ icext(X16,X1) )
& ( icext(X15,X1)
| icext(X16,X1) ) )
| iext(uri_owl_equivalentClass,X15,X16) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(138,plain,
! [X17,X18] :
( ( ~ iext(uri_owl_equivalentClass,X17,X18)
| ( ic(X17)
& ic(X18)
& ! [X19] :
( ( ~ icext(X17,X19)
| icext(X18,X19) )
& ( ~ icext(X18,X19)
| icext(X17,X19) ) ) ) )
& ( ~ ic(X17)
| ~ ic(X18)
| ? [X20] :
( ( ~ icext(X17,X20)
| ~ icext(X18,X20) )
& ( icext(X17,X20)
| icext(X18,X20) ) )
| iext(uri_owl_equivalentClass,X17,X18) ) ),
inference(variable_rename,[status(thm)],[137]) ).
fof(139,plain,
! [X17,X18] :
( ( ~ iext(uri_owl_equivalentClass,X17,X18)
| ( ic(X17)
& ic(X18)
& ! [X19] :
( ( ~ icext(X17,X19)
| icext(X18,X19) )
& ( ~ icext(X18,X19)
| icext(X17,X19) ) ) ) )
& ( ~ ic(X17)
| ~ ic(X18)
| ( ( ~ icext(X17,esk8_2(X17,X18))
| ~ icext(X18,esk8_2(X17,X18)) )
& ( icext(X17,esk8_2(X17,X18))
| icext(X18,esk8_2(X17,X18)) ) )
| iext(uri_owl_equivalentClass,X17,X18) ) ),
inference(skolemize,[status(esa)],[138]) ).
fof(140,plain,
! [X17,X18,X19] :
( ( ( ( ~ icext(X17,X19)
| icext(X18,X19) )
& ( ~ icext(X18,X19)
| icext(X17,X19) )
& ic(X17)
& ic(X18) )
| ~ iext(uri_owl_equivalentClass,X17,X18) )
& ( ~ ic(X17)
| ~ ic(X18)
| ( ( ~ icext(X17,esk8_2(X17,X18))
| ~ icext(X18,esk8_2(X17,X18)) )
& ( icext(X17,esk8_2(X17,X18))
| icext(X18,esk8_2(X17,X18)) ) )
| iext(uri_owl_equivalentClass,X17,X18) ) ),
inference(shift_quantors,[status(thm)],[139]) ).
fof(141,plain,
! [X17,X18,X19] :
( ( ~ icext(X17,X19)
| icext(X18,X19)
| ~ iext(uri_owl_equivalentClass,X17,X18) )
& ( ~ icext(X18,X19)
| icext(X17,X19)
| ~ iext(uri_owl_equivalentClass,X17,X18) )
& ( ic(X17)
| ~ iext(uri_owl_equivalentClass,X17,X18) )
& ( ic(X18)
| ~ iext(uri_owl_equivalentClass,X17,X18) )
& ( ~ icext(X17,esk8_2(X17,X18))
| ~ icext(X18,esk8_2(X17,X18))
| ~ ic(X17)
| ~ ic(X18)
| iext(uri_owl_equivalentClass,X17,X18) )
& ( icext(X17,esk8_2(X17,X18))
| icext(X18,esk8_2(X17,X18))
| ~ ic(X17)
| ~ ic(X18)
| iext(uri_owl_equivalentClass,X17,X18) ) ),
inference(distribute,[status(thm)],[140]) ).
cnf(147,plain,
( icext(X2,X3)
| ~ iext(uri_owl_equivalentClass,X1,X2)
| ~ icext(X1,X3) ),
inference(split_conjunct,[status(thm)],[141]) ).
fof(165,plain,
! [X1] :
( ( ~ icext(uri_owl_Thing,X1)
| ir(X1) )
& ( ~ ir(X1)
| icext(uri_owl_Thing,X1) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(166,plain,
! [X2] :
( ( ~ icext(uri_owl_Thing,X2)
| ir(X2) )
& ( ~ ir(X2)
| icext(uri_owl_Thing,X2) ) ),
inference(variable_rename,[status(thm)],[165]) ).
cnf(167,plain,
( icext(uri_owl_Thing,X1)
| ~ ir(X1) ),
inference(split_conjunct,[status(thm)],[166]) ).
fof(218,plain,
? [X21,X22] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,X21)
& iext(uri_owl_oneOf,X21,X22)
& iext(uri_rdf_first,X22,uri_ex_w)
& iext(uri_rdf_rest,X22,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(219,plain,
( iext(uri_owl_equivalentClass,uri_owl_Thing,esk11_0)
& iext(uri_owl_oneOf,esk11_0,esk12_0)
& iext(uri_rdf_first,esk12_0,uri_ex_w)
& iext(uri_rdf_rest,esk12_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[218]) ).
cnf(220,plain,
iext(uri_rdf_rest,esk12_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(221,plain,
iext(uri_rdf_first,esk12_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(222,plain,
iext(uri_owl_oneOf,esk11_0,esk12_0),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(223,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,esk11_0),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(232,plain,
( icext(uri_rdfs_Resource,X1)
| $false ),
inference(rw,[status(thm)],[84,72,theory(equality)]),
[unfolding] ).
cnf(234,plain,
( icext(uri_owl_Thing,X1)
| $false ),
inference(rw,[status(thm)],[167,72,theory(equality)]),
[unfolding] ).
cnf(280,plain,
~ iext(uri_owl_oneOf,uri_rdfs_Resource,uri_rdf_nil),
inference(spm,[status(thm)],[100,232,theory(equality)]) ).
cnf(284,plain,
( icext(esk11_0,X1)
| ~ icext(uri_owl_Thing,X1) ),
inference(spm,[status(thm)],[147,223,theory(equality)]) ).
cnf(285,plain,
( icext(esk11_0,X1)
| $false ),
inference(rw,[status(thm)],[284,234,theory(equality)]) ).
cnf(286,plain,
icext(esk11_0,X1),
inference(cn,[status(thm)],[285,theory(equality)]) ).
cnf(365,plain,
( X1 = X2
| ~ icext(esk11_0,X2)
| ~ iext(uri_rdf_rest,esk12_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(spm,[status(thm)],[110,222,theory(equality)]) ).
cnf(368,plain,
( X1 = X2
| ~ icext(esk11_0,X2)
| $false
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(rw,[status(thm)],[365,220,theory(equality)]) ).
cnf(369,plain,
( X1 = X2
| ~ icext(esk11_0,X2)
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(cn,[status(thm)],[368,theory(equality)]) ).
cnf(940,plain,
( X1 = X2
| $false
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(rw,[status(thm)],[369,286,theory(equality)]) ).
cnf(941,plain,
( X1 = X2
| ~ iext(uri_rdf_first,esk12_0,X1) ),
inference(cn,[status(thm)],[940,theory(equality)]) ).
cnf(942,plain,
uri_ex_w = X1,
inference(spm,[status(thm)],[941,221,theory(equality)]) ).
cnf(945,plain,
X2 = X1,
inference(spm,[status(thm)],[942,942,theory(equality)]) ).
cnf(1331,plain,
~ iext(X1,uri_rdfs_Resource,uri_rdf_nil),
inference(spm,[status(thm)],[280,945,theory(equality)]) ).
cnf(1468,plain,
~ iext(X1,X2,uri_rdf_nil),
inference(spm,[status(thm)],[1331,945,theory(equality)]) ).
cnf(1474,plain,
$false,
inference(sr,[status(thm)],[220,1468,theory(equality)]) ).
cnf(1475,plain,
$false,
1474,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB031+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpl6KDuC/sel_SWB031+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem SWB031+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB031+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB031+1.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
%
%------------------------------------------------------------------------------