TSTP Solution File: SWB026+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB026+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 : Tue Feb 15 23:57:08 EST 2011
% Result : Theorem 0.31s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 60 ( 13 unt; 0 def)
% Number of atoms : 319 ( 43 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 401 ( 142 ~; 162 |; 89 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 15 con; 0-3 aty)
% Number of variables : 122 ( 3 sgn 78 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X3,X4] :
( iext(uri_rdfs_domain,X3,X4)
<=> ( ip(X3)
& ic(X4)
& ! [X1,X2] :
( iext(X3,X1,X2)
=> icext(X4,X1) ) ) ),
file('/tmp/tmp8wTUd3/sel_SWB026+1.p_1',owl_rdfsext_domain) ).
fof(16,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/tmp8wTUd3/sel_SWB026+1.p_1',owl_enum_class_001) ).
fof(19,axiom,
! [X3] :
( icext(uri_owl_InverseFunctionalProperty,X3)
<=> ( ip(X3)
& ! [X15,X16,X2] :
( ( iext(X3,X15,X2)
& iext(X3,X16,X2) )
=> X15 = X16 ) ) ),
file('/tmp/tmp8wTUd3/sel_SWB026+1.p_1',owl_char_inversefunctional) ).
fof(38,axiom,
! [X1,X4] :
( iext(uri_rdf_type,X1,X4)
<=> icext(X4,X1) ),
file('/tmp/tmp8wTUd3/sel_SWB026+1.p_1',rdfs_cext_def) ).
fof(41,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/tmp/tmp8wTUd3/sel_SWB026+1.p_1',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(42,axiom,
? [X19,X20,X21,X22] :
( iext(uri_rdfs_domain,uri_ex_p,X19)
& iext(uri_owl_oneOf,X19,X21)
& iext(uri_rdf_first,X21,uri_ex_w)
& iext(uri_rdf_rest,X21,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,X20)
& iext(uri_owl_oneOf,X20,X22)
& iext(uri_rdf_first,X22,uri_ex_u)
& iext(uri_rdf_rest,X22,uri_rdf_nil) ),
file('/tmp/tmp8wTUd3/sel_SWB026+1.p_1',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(43,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[41]) ).
fof(45,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
fof(57,plain,
! [X3,X4] :
( ( ~ iext(uri_rdfs_domain,X3,X4)
| ( ip(X3)
& ic(X4)
& ! [X1,X2] :
( ~ iext(X3,X1,X2)
| icext(X4,X1) ) ) )
& ( ~ ip(X3)
| ~ ic(X4)
| ? [X1,X2] :
( iext(X3,X1,X2)
& ~ icext(X4,X1) )
| iext(uri_rdfs_domain,X3,X4) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(58,plain,
! [X5,X6] :
( ( ~ iext(uri_rdfs_domain,X5,X6)
| ( ip(X5)
& ic(X6)
& ! [X7,X8] :
( ~ iext(X5,X7,X8)
| icext(X6,X7) ) ) )
& ( ~ ip(X5)
| ~ ic(X6)
| ? [X9,X10] :
( iext(X5,X9,X10)
& ~ icext(X6,X9) )
| iext(uri_rdfs_domain,X5,X6) ) ),
inference(variable_rename,[status(thm)],[57]) ).
fof(59,plain,
! [X5,X6] :
( ( ~ iext(uri_rdfs_domain,X5,X6)
| ( ip(X5)
& ic(X6)
& ! [X7,X8] :
( ~ iext(X5,X7,X8)
| icext(X6,X7) ) ) )
& ( ~ ip(X5)
| ~ ic(X6)
| ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
& ~ icext(X6,esk1_2(X5,X6)) )
| iext(uri_rdfs_domain,X5,X6) ) ),
inference(skolemize,[status(esa)],[58]) ).
fof(60,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ iext(X5,X7,X8)
| icext(X6,X7) )
& ip(X5)
& ic(X6) )
| ~ iext(uri_rdfs_domain,X5,X6) )
& ( ~ ip(X5)
| ~ ic(X6)
| ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
& ~ icext(X6,esk1_2(X5,X6)) )
| iext(uri_rdfs_domain,X5,X6) ) ),
inference(shift_quantors,[status(thm)],[59]) ).
fof(61,plain,
! [X5,X6,X7,X8] :
( ( ~ iext(X5,X7,X8)
| icext(X6,X7)
| ~ iext(uri_rdfs_domain,X5,X6) )
& ( ip(X5)
| ~ iext(uri_rdfs_domain,X5,X6) )
& ( ic(X6)
| ~ iext(uri_rdfs_domain,X5,X6) )
& ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
| ~ ip(X5)
| ~ ic(X6)
| iext(uri_rdfs_domain,X5,X6) )
& ( ~ icext(X6,esk1_2(X5,X6))
| ~ ip(X5)
| ~ ic(X6)
| iext(uri_rdfs_domain,X5,X6) ) ),
inference(distribute,[status(thm)],[60]) ).
cnf(65,plain,
( ip(X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(66,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_domain,X1,X2)
| ~ iext(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[61]) ).
fof(100,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)],[16]) ).
fof(101,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)],[100]) ).
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)
| ( ( ~ 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)],[101]) ).
fof(103,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)],[102]) ).
fof(104,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)],[103]) ).
cnf(109,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)],[104]) ).
fof(136,plain,
! [X3] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X3)
| ( ip(X3)
& ! [X15,X16,X2] :
( ~ iext(X3,X15,X2)
| ~ iext(X3,X16,X2)
| X15 = X16 ) ) )
& ( ~ ip(X3)
| ? [X15,X16,X2] :
( iext(X3,X15,X2)
& iext(X3,X16,X2)
& X15 != X16 )
| icext(uri_owl_InverseFunctionalProperty,X3) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(137,plain,
! [X17] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X17)
| ( ip(X17)
& ! [X18,X19,X20] :
( ~ iext(X17,X18,X20)
| ~ iext(X17,X19,X20)
| X18 = X19 ) ) )
& ( ~ ip(X17)
| ? [X21,X22,X23] :
( iext(X17,X21,X23)
& iext(X17,X22,X23)
& X21 != X22 )
| icext(uri_owl_InverseFunctionalProperty,X17) ) ),
inference(variable_rename,[status(thm)],[136]) ).
fof(138,plain,
! [X17] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X17)
| ( ip(X17)
& ! [X18,X19,X20] :
( ~ iext(X17,X18,X20)
| ~ iext(X17,X19,X20)
| X18 = X19 ) ) )
& ( ~ ip(X17)
| ( iext(X17,esk8_1(X17),esk10_1(X17))
& iext(X17,esk9_1(X17),esk10_1(X17))
& esk8_1(X17) != esk9_1(X17) )
| icext(uri_owl_InverseFunctionalProperty,X17) ) ),
inference(skolemize,[status(esa)],[137]) ).
fof(139,plain,
! [X17,X18,X19,X20] :
( ( ( ( ~ iext(X17,X18,X20)
| ~ iext(X17,X19,X20)
| X18 = X19 )
& ip(X17) )
| ~ icext(uri_owl_InverseFunctionalProperty,X17) )
& ( ~ ip(X17)
| ( iext(X17,esk8_1(X17),esk10_1(X17))
& iext(X17,esk9_1(X17),esk10_1(X17))
& esk8_1(X17) != esk9_1(X17) )
| icext(uri_owl_InverseFunctionalProperty,X17) ) ),
inference(shift_quantors,[status(thm)],[138]) ).
fof(140,plain,
! [X17,X18,X19,X20] :
( ( ~ iext(X17,X18,X20)
| ~ iext(X17,X19,X20)
| X18 = X19
| ~ icext(uri_owl_InverseFunctionalProperty,X17) )
& ( ip(X17)
| ~ icext(uri_owl_InverseFunctionalProperty,X17) )
& ( iext(X17,esk8_1(X17),esk10_1(X17))
| ~ ip(X17)
| icext(uri_owl_InverseFunctionalProperty,X17) )
& ( iext(X17,esk9_1(X17),esk10_1(X17))
| ~ ip(X17)
| icext(uri_owl_InverseFunctionalProperty,X17) )
& ( esk8_1(X17) != esk9_1(X17)
| ~ ip(X17)
| icext(uri_owl_InverseFunctionalProperty,X17) ) ),
inference(distribute,[status(thm)],[139]) ).
cnf(141,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1)
| esk8_1(X1) != esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(142,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk9_1(X1),esk10_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(143,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk8_1(X1),esk10_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[140]) ).
fof(205,plain,
! [X1,X4] :
( ( ~ iext(uri_rdf_type,X1,X4)
| icext(X4,X1) )
& ( ~ icext(X4,X1)
| iext(uri_rdf_type,X1,X4) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(206,plain,
! [X5,X6] :
( ( ~ iext(uri_rdf_type,X5,X6)
| icext(X6,X5) )
& ( ~ icext(X6,X5)
| iext(uri_rdf_type,X5,X6) ) ),
inference(variable_rename,[status(thm)],[205]) ).
cnf(207,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[206]) ).
cnf(211,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[45]) ).
fof(212,plain,
? [X23,X24,X25,X26] :
( iext(uri_rdfs_domain,uri_ex_p,X23)
& iext(uri_owl_oneOf,X23,X25)
& iext(uri_rdf_first,X25,uri_ex_w)
& iext(uri_rdf_rest,X25,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,X24)
& iext(uri_owl_oneOf,X24,X26)
& iext(uri_rdf_first,X26,uri_ex_u)
& iext(uri_rdf_rest,X26,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(213,plain,
( iext(uri_rdfs_domain,uri_ex_p,esk13_0)
& iext(uri_owl_oneOf,esk13_0,esk15_0)
& iext(uri_rdf_first,esk15_0,uri_ex_w)
& iext(uri_rdf_rest,esk15_0,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,esk14_0)
& iext(uri_owl_oneOf,esk14_0,esk16_0)
& iext(uri_rdf_first,esk16_0,uri_ex_u)
& iext(uri_rdf_rest,esk16_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[212]) ).
cnf(218,plain,
iext(uri_rdf_rest,esk15_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(219,plain,
iext(uri_rdf_first,esk15_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(220,plain,
iext(uri_owl_oneOf,esk13_0,esk15_0),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(221,plain,
iext(uri_rdfs_domain,uri_ex_p,esk13_0),
inference(split_conjunct,[status(thm)],[213]) ).
cnf(268,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[65,221,theory(equality)]) ).
cnf(289,plain,
( icext(esk13_0,X1)
| ~ iext(uri_ex_p,X1,X2) ),
inference(spm,[status(thm)],[66,221,theory(equality)]) ).
cnf(336,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| ~ iext(uri_rdf_rest,esk15_0,uri_rdf_nil)
| ~ iext(uri_rdf_first,esk15_0,X1) ),
inference(spm,[status(thm)],[109,220,theory(equality)]) ).
cnf(340,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| $false
| ~ iext(uri_rdf_first,esk15_0,X1) ),
inference(rw,[status(thm)],[336,218,theory(equality)]) ).
cnf(341,plain,
( X1 = X2
| ~ icext(esk13_0,X2)
| ~ iext(uri_rdf_first,esk15_0,X1) ),
inference(cn,[status(thm)],[340,theory(equality)]) ).
cnf(705,plain,
( icext(esk13_0,esk8_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[289,143,theory(equality)]) ).
cnf(706,plain,
( icext(esk13_0,esk9_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[289,142,theory(equality)]) ).
cnf(709,plain,
( icext(esk13_0,esk8_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[705,268,theory(equality)]) ).
cnf(710,plain,
( icext(esk13_0,esk8_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[709,theory(equality)]) ).
cnf(711,plain,
( icext(esk13_0,esk9_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[706,268,theory(equality)]) ).
cnf(712,plain,
( icext(esk13_0,esk9_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[711,theory(equality)]) ).
cnf(1080,plain,
( uri_ex_w = X1
| ~ icext(esk13_0,X1) ),
inference(spm,[status(thm)],[341,219,theory(equality)]) ).
cnf(1086,plain,
( uri_ex_w = esk8_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[1080,710,theory(equality)]) ).
cnf(1087,plain,
( uri_ex_w = esk9_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[1080,712,theory(equality)]) ).
cnf(1133,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| uri_ex_w != esk8_1(uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[141,1087,theory(equality)]) ).
cnf(1138,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| uri_ex_w != esk8_1(uri_ex_p)
| $false ),
inference(rw,[status(thm)],[1133,268,theory(equality)]) ).
cnf(1139,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| uri_ex_w != esk8_1(uri_ex_p) ),
inference(cn,[status(thm)],[1138,theory(equality)]) ).
cnf(1147,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(csr,[status(thm)],[1139,1086]) ).
cnf(1148,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(spm,[status(thm)],[207,1147,theory(equality)]) ).
cnf(1167,plain,
$false,
inference(sr,[status(thm)],[1148,211,theory(equality)]) ).
cnf(1168,plain,
$false,
1167,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB026+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmp8wTUd3/sel_SWB026+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB026+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB026+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB026+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
%
%------------------------------------------------------------------------------