TSTP Solution File: SWB026+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB026+2 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Feb 16 00:06:31 EST 2011
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 16 unt; 0 def)
% Number of atoms : 290 ( 44 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 355 ( 129 ~; 148 |; 70 &)
% ( 5 <=>; 3 =>; 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 : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 109 ( 3 sgn 69 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( iext(uri_rdf_type,X1,uri_rdf_Property)
<=> ip(X1) ),
file('/tmp/tmpowiONc/sel_SWB026+2.p_1',rdf_type_ip) ).
fof(2,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/tmp/tmpowiONc/sel_SWB026+2.p_1',rdfs_domain_domain) ).
fof(3,axiom,
! [X1,X2,X3,X4] :
( ( iext(uri_rdfs_domain,X1,X2)
& iext(X1,X3,X4) )
=> icext(X2,X3) ),
file('/tmp/tmpowiONc/sel_SWB026+2.p_1',rdfs_domain_main) ).
fof(4,axiom,
! [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)
& ! [X3] :
( icext(X5,X3)
<=> X3 = X7 ) ) ) ),
file('/tmp/tmpowiONc/sel_SWB026+2.p_1',owl_enum_class_001) ).
fof(5,axiom,
! [X1] :
( icext(uri_owl_InverseFunctionalProperty,X1)
<=> ( ip(X1)
& ! [X8,X9,X4] :
( ( iext(X1,X8,X4)
& iext(X1,X9,X4) )
=> X8 = X9 ) ) ),
file('/tmp/tmpowiONc/sel_SWB026+2.p_1',owl_char_inversefunctional) ).
fof(6,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/tmp/tmpowiONc/sel_SWB026+2.p_1',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(7,axiom,
! [X3,X2] :
( iext(uri_rdf_type,X3,X2)
<=> icext(X2,X3) ),
file('/tmp/tmpowiONc/sel_SWB026+2.p_1',rdfs_cext_def) ).
fof(8,axiom,
? [X10,X11,X12,X13] :
( iext(uri_rdfs_domain,uri_ex_p,X10)
& iext(uri_owl_oneOf,X10,X12)
& iext(uri_rdf_first,X12,uri_ex_w)
& iext(uri_rdf_rest,X12,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,X11)
& iext(uri_owl_oneOf,X11,X13)
& iext(uri_rdf_first,X13,uri_ex_u)
& iext(uri_rdf_rest,X13,uri_rdf_nil) ),
file('/tmp/tmpowiONc/sel_SWB026+2.p_1',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(9,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[6]) ).
fof(10,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(11,plain,
! [X1] :
( ( ~ iext(uri_rdf_type,X1,uri_rdf_Property)
| ip(X1) )
& ( ~ ip(X1)
| iext(uri_rdf_type,X1,uri_rdf_Property) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(12,plain,
! [X2] :
( ( ~ iext(uri_rdf_type,X2,uri_rdf_Property)
| ip(X2) )
& ( ~ ip(X2)
| iext(uri_rdf_type,X2,uri_rdf_Property) ) ),
inference(variable_rename,[status(thm)],[11]) ).
cnf(14,plain,
( ip(X1)
| ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(15,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(split_conjunct,[status(thm)],[2]) ).
fof(16,plain,
! [X1,X2,X3,X4] :
( ~ iext(uri_rdfs_domain,X1,X2)
| ~ iext(X1,X3,X4)
| icext(X2,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(17,plain,
! [X5,X6,X7,X8] :
( ~ iext(uri_rdfs_domain,X5,X6)
| ~ iext(X5,X7,X8)
| icext(X6,X7) ),
inference(variable_rename,[status(thm)],[16]) ).
cnf(18,plain,
( icext(X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdfs_domain,X3,X1) ),
inference(split_conjunct,[status(thm)],[17]) ).
fof(19,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)
& ! [X3] :
( ( ~ icext(X5,X3)
| X3 = X7 )
& ( X3 != X7
| icext(X5,X3) ) ) ) )
& ( ~ ic(X5)
| ? [X3] :
( ( ~ icext(X5,X3)
| X3 != X7 )
& ( icext(X5,X3)
| X3 = X7 ) )
| iext(uri_owl_oneOf,X5,X6) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(20,plain,
! [X8,X9,X10] :
( ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X8,X9)
| ( ic(X8)
& ! [X11] :
( ( ~ icext(X8,X11)
| X11 = X10 )
& ( X11 != X10
| icext(X8,X11) ) ) ) )
& ( ~ ic(X8)
| ? [X12] :
( ( ~ icext(X8,X12)
| X12 != X10 )
& ( icext(X8,X12)
| X12 = X10 ) )
| iext(uri_owl_oneOf,X8,X9) ) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,plain,
! [X8,X9,X10] :
( ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil)
| ( ( ~ iext(uri_owl_oneOf,X8,X9)
| ( ic(X8)
& ! [X11] :
( ( ~ icext(X8,X11)
| X11 = X10 )
& ( X11 != X10
| icext(X8,X11) ) ) ) )
& ( ~ ic(X8)
| ( ( ~ icext(X8,esk1_3(X8,X9,X10))
| esk1_3(X8,X9,X10) != X10 )
& ( icext(X8,esk1_3(X8,X9,X10))
| esk1_3(X8,X9,X10) = X10 ) )
| iext(uri_owl_oneOf,X8,X9) ) ) ),
inference(skolemize,[status(esa)],[20]) ).
fof(22,plain,
! [X8,X9,X10,X11] :
( ( ( ( ( ~ icext(X8,X11)
| X11 = X10 )
& ( X11 != X10
| icext(X8,X11) )
& ic(X8) )
| ~ iext(uri_owl_oneOf,X8,X9) )
& ( ~ ic(X8)
| ( ( ~ icext(X8,esk1_3(X8,X9,X10))
| esk1_3(X8,X9,X10) != X10 )
& ( icext(X8,esk1_3(X8,X9,X10))
| esk1_3(X8,X9,X10) = X10 ) )
| iext(uri_owl_oneOf,X8,X9) ) )
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[21]) ).
fof(23,plain,
! [X8,X9,X10,X11] :
( ( ~ icext(X8,X11)
| X11 = X10
| ~ iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) )
& ( X11 != X10
| icext(X8,X11)
| ~ iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) )
& ( ic(X8)
| ~ iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) )
& ( ~ icext(X8,esk1_3(X8,X9,X10))
| esk1_3(X8,X9,X10) != X10
| ~ ic(X8)
| iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) )
& ( icext(X8,esk1_3(X8,X9,X10))
| esk1_3(X8,X9,X10) = X10
| ~ ic(X8)
| iext(uri_owl_oneOf,X8,X9)
| ~ iext(uri_rdf_first,X9,X10)
| ~ iext(uri_rdf_rest,X9,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(28,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)],[23]) ).
fof(29,plain,
! [X1] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X1)
| ( ip(X1)
& ! [X8,X9,X4] :
( ~ iext(X1,X8,X4)
| ~ iext(X1,X9,X4)
| X8 = X9 ) ) )
& ( ~ ip(X1)
| ? [X8,X9,X4] :
( iext(X1,X8,X4)
& iext(X1,X9,X4)
& X8 != X9 )
| icext(uri_owl_InverseFunctionalProperty,X1) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(30,plain,
! [X10] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X10)
| ( ip(X10)
& ! [X11,X12,X13] :
( ~ iext(X10,X11,X13)
| ~ iext(X10,X12,X13)
| X11 = X12 ) ) )
& ( ~ ip(X10)
| ? [X14,X15,X16] :
( iext(X10,X14,X16)
& iext(X10,X15,X16)
& X14 != X15 )
| icext(uri_owl_InverseFunctionalProperty,X10) ) ),
inference(variable_rename,[status(thm)],[29]) ).
fof(31,plain,
! [X10] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X10)
| ( ip(X10)
& ! [X11,X12,X13] :
( ~ iext(X10,X11,X13)
| ~ iext(X10,X12,X13)
| X11 = X12 ) ) )
& ( ~ ip(X10)
| ( iext(X10,esk2_1(X10),esk4_1(X10))
& iext(X10,esk3_1(X10),esk4_1(X10))
& esk2_1(X10) != esk3_1(X10) )
| icext(uri_owl_InverseFunctionalProperty,X10) ) ),
inference(skolemize,[status(esa)],[30]) ).
fof(32,plain,
! [X10,X11,X12,X13] :
( ( ( ( ~ iext(X10,X11,X13)
| ~ iext(X10,X12,X13)
| X11 = X12 )
& ip(X10) )
| ~ icext(uri_owl_InverseFunctionalProperty,X10) )
& ( ~ ip(X10)
| ( iext(X10,esk2_1(X10),esk4_1(X10))
& iext(X10,esk3_1(X10),esk4_1(X10))
& esk2_1(X10) != esk3_1(X10) )
| icext(uri_owl_InverseFunctionalProperty,X10) ) ),
inference(shift_quantors,[status(thm)],[31]) ).
fof(33,plain,
! [X10,X11,X12,X13] :
( ( ~ iext(X10,X11,X13)
| ~ iext(X10,X12,X13)
| X11 = X12
| ~ icext(uri_owl_InverseFunctionalProperty,X10) )
& ( ip(X10)
| ~ icext(uri_owl_InverseFunctionalProperty,X10) )
& ( iext(X10,esk2_1(X10),esk4_1(X10))
| ~ ip(X10)
| icext(uri_owl_InverseFunctionalProperty,X10) )
& ( iext(X10,esk3_1(X10),esk4_1(X10))
| ~ ip(X10)
| icext(uri_owl_InverseFunctionalProperty,X10) )
& ( esk2_1(X10) != esk3_1(X10)
| ~ ip(X10)
| icext(uri_owl_InverseFunctionalProperty,X10) ) ),
inference(distribute,[status(thm)],[32]) ).
cnf(34,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1)
| esk2_1(X1) != esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(35,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk3_1(X1),esk4_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(36,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk2_1(X1),esk4_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(39,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[10]) ).
fof(40,plain,
! [X3,X2] :
( ( ~ iext(uri_rdf_type,X3,X2)
| icext(X2,X3) )
& ( ~ icext(X2,X3)
| iext(uri_rdf_type,X3,X2) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(41,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)],[40]) ).
cnf(42,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(44,plain,
? [X14,X15,X16,X17] :
( iext(uri_rdfs_domain,uri_ex_p,X14)
& iext(uri_owl_oneOf,X14,X16)
& iext(uri_rdf_first,X16,uri_ex_w)
& iext(uri_rdf_rest,X16,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,X15)
& iext(uri_owl_oneOf,X15,X17)
& iext(uri_rdf_first,X17,uri_ex_u)
& iext(uri_rdf_rest,X17,uri_rdf_nil) ),
inference(variable_rename,[status(thm)],[8]) ).
fof(45,plain,
( iext(uri_rdfs_domain,uri_ex_p,esk5_0)
& iext(uri_owl_oneOf,esk5_0,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_w)
& iext(uri_rdf_rest,esk7_0,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,esk6_0)
& iext(uri_owl_oneOf,esk6_0,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_u)
& iext(uri_rdf_rest,esk8_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[44]) ).
cnf(50,plain,
iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(51,plain,
iext(uri_rdf_first,esk7_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(52,plain,
iext(uri_owl_oneOf,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(53,plain,
iext(uri_rdfs_domain,uri_ex_p,esk5_0),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(57,plain,
( icext(esk5_0,X1)
| ~ iext(uri_ex_p,X1,X2) ),
inference(spm,[status(thm)],[18,53,theory(equality)]) ).
cnf(58,plain,
( icext(uri_rdf_Property,X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(spm,[status(thm)],[18,15,theory(equality)]) ).
cnf(71,plain,
( uri_ex_w = X1
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,esk7_0,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X2,esk7_0) ),
inference(spm,[status(thm)],[28,51,theory(equality)]) ).
cnf(75,plain,
( uri_ex_w = X1
| ~ icext(X2,X1)
| $false
| ~ iext(uri_owl_oneOf,X2,esk7_0) ),
inference(rw,[status(thm)],[71,50,theory(equality)]) ).
cnf(76,plain,
( uri_ex_w = X1
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk7_0) ),
inference(cn,[status(thm)],[75,theory(equality)]) ).
cnf(85,plain,
( icext(esk5_0,esk2_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[57,36,theory(equality)]) ).
cnf(86,plain,
( icext(esk5_0,esk3_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[57,35,theory(equality)]) ).
cnf(87,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(spm,[status(thm)],[58,53,theory(equality)]) ).
cnf(91,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(spm,[status(thm)],[42,87,theory(equality)]) ).
cnf(105,plain,
( uri_ex_w = esk2_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_owl_oneOf,esk5_0,esk7_0)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[76,85,theory(equality)]) ).
cnf(106,plain,
( uri_ex_w = esk2_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| $false
| ~ ip(uri_ex_p) ),
inference(rw,[status(thm)],[105,52,theory(equality)]) ).
cnf(107,plain,
( uri_ex_w = esk2_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(cn,[status(thm)],[106,theory(equality)]) ).
cnf(145,plain,
( uri_ex_w = esk3_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_owl_oneOf,esk5_0,esk7_0)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[76,86,theory(equality)]) ).
cnf(147,plain,
( uri_ex_w = esk3_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| $false
| ~ ip(uri_ex_p) ),
inference(rw,[status(thm)],[145,52,theory(equality)]) ).
cnf(148,plain,
( uri_ex_w = esk3_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(cn,[status(thm)],[147,theory(equality)]) ).
cnf(149,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| uri_ex_w != esk2_1(uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[34,148,theory(equality)]) ).
cnf(152,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(csr,[status(thm)],[149,107]) ).
cnf(154,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(spm,[status(thm)],[152,14,theory(equality)]) ).
cnf(155,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[154,91,theory(equality)]) ).
cnf(156,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(cn,[status(thm)],[155,theory(equality)]) ).
cnf(157,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(spm,[status(thm)],[42,156,theory(equality)]) ).
cnf(164,plain,
$false,
inference(sr,[status(thm)],[157,39,theory(equality)]) ).
cnf(165,plain,
$false,
164,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB026+2.p
% --creating new selector for []
% -running prover on /tmp/tmpowiONc/sel_SWB026+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB026+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB026+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB026+2.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
%
%------------------------------------------------------------------------------