TSTP Solution File: SWB027+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWB027+2 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 23:57:55 EST 2011
% Result : Theorem 0.31s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 67 ( 15 unt; 0 def)
% Number of atoms : 416 ( 19 equ)
% Maximal formula atoms : 53 ( 6 avg)
% Number of connectives : 564 ( 215 ~; 235 |; 105 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-5 aty)
% Number of variables : 187 ( 1 sgn 108 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/tmp/tmpUaShtu/sel_SWB027+2.p_1',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
fof(2,axiom,
? [X1,X2,X3] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X1)
& iext(uri_rdf_first,X1,uri_ex_p)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_inverseOf,X3,uri_ex_p) ),
file('/tmp/tmpUaShtu/sel_SWB027+2.p_1',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(3,axiom,
! [X4,X5] :
( iext(uri_owl_inverseOf,X4,X5)
<=> ( ip(X4)
& ip(X5)
& ! [X6,X7] :
( iext(X4,X6,X7)
<=> iext(X5,X7,X6) ) ) ),
file('/tmp/tmpUaShtu/sel_SWB027+2.p_1',owl_inv) ).
fof(4,axiom,
! [X8] :
( icext(uri_owl_InverseFunctionalProperty,X8)
<=> ( ip(X8)
& ! [X9,X10,X7] :
( ( iext(X8,X9,X7)
& iext(X8,X10,X7) )
=> X9 = X10 ) ) ),
file('/tmp/tmpUaShtu/sel_SWB027+2.p_1',owl_char_inversefunctional) ).
fof(5,axiom,
! [X6,X7] :
( iext(uri_owl_sameAs,X6,X7)
<=> X6 = X7 ),
file('/tmp/tmpUaShtu/sel_SWB027+2.p_1',owl_eqdis_sameas) ).
fof(6,axiom,
! [X6,X11] :
( iext(uri_rdf_type,X6,X11)
<=> icext(X11,X6) ),
file('/tmp/tmpUaShtu/sel_SWB027+2.p_1',rdfs_cext_def) ).
fof(7,axiom,
! [X8,X12,X4,X13,X5] :
( ( iext(uri_rdf_first,X12,X4)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X13,X5)
& iext(uri_rdf_rest,X13,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X8,X12)
<=> ( ip(X8)
& ip(X4)
& ip(X5)
& ! [X14,X15,X16] :
( ( iext(X4,X14,X15)
& iext(X5,X15,X16) )
=> iext(X8,X14,X16) ) ) ) ),
file('/tmp/tmpUaShtu/sel_SWB027+2.p_1',owl_chain_002) ).
fof(8,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[1]) ).
fof(9,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
cnf(10,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[9]) ).
fof(11,plain,
? [X4,X5,X6] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X4)
& iext(uri_rdf_first,X4,uri_ex_p)
& iext(uri_rdf_rest,X4,X5)
& iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_owl_inverseOf,X6,uri_ex_p) ),
inference(variable_rename,[status(thm)],[2]) ).
fof(12,plain,
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk1_0)
& iext(uri_rdf_first,esk1_0,uri_ex_p)
& iext(uri_rdf_rest,esk1_0,esk2_0)
& iext(uri_rdf_first,esk2_0,esk3_0)
& iext(uri_rdf_rest,esk2_0,uri_rdf_nil)
& iext(uri_owl_inverseOf,esk3_0,uri_ex_p) ),
inference(skolemize,[status(esa)],[11]) ).
cnf(13,plain,
iext(uri_owl_inverseOf,esk3_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(14,plain,
iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(15,plain,
iext(uri_rdf_first,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(16,plain,
iext(uri_rdf_rest,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(17,plain,
iext(uri_rdf_first,esk1_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(18,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk1_0),
inference(split_conjunct,[status(thm)],[12]) ).
fof(19,plain,
! [X4,X5] :
( ( ~ iext(uri_owl_inverseOf,X4,X5)
| ( ip(X4)
& ip(X5)
& ! [X6,X7] :
( ( ~ iext(X4,X6,X7)
| iext(X5,X7,X6) )
& ( ~ iext(X5,X7,X6)
| iext(X4,X6,X7) ) ) ) )
& ( ~ ip(X4)
| ~ ip(X5)
| ? [X6,X7] :
( ( ~ iext(X4,X6,X7)
| ~ iext(X5,X7,X6) )
& ( iext(X4,X6,X7)
| iext(X5,X7,X6) ) )
| iext(uri_owl_inverseOf,X4,X5) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(20,plain,
! [X8,X9] :
( ( ~ iext(uri_owl_inverseOf,X8,X9)
| ( ip(X8)
& ip(X9)
& ! [X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X11,X10) )
& ( ~ iext(X9,X11,X10)
| iext(X8,X10,X11) ) ) ) )
& ( ~ ip(X8)
| ~ ip(X9)
| ? [X12,X13] :
( ( ~ iext(X8,X12,X13)
| ~ iext(X9,X13,X12) )
& ( iext(X8,X12,X13)
| iext(X9,X13,X12) ) )
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,plain,
! [X8,X9] :
( ( ~ iext(uri_owl_inverseOf,X8,X9)
| ( ip(X8)
& ip(X9)
& ! [X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X11,X10) )
& ( ~ iext(X9,X11,X10)
| iext(X8,X10,X11) ) ) ) )
& ( ~ ip(X8)
| ~ ip(X9)
| ( ( ~ iext(X8,esk4_2(X8,X9),esk5_2(X8,X9))
| ~ iext(X9,esk5_2(X8,X9),esk4_2(X8,X9)) )
& ( iext(X8,esk4_2(X8,X9),esk5_2(X8,X9))
| iext(X9,esk5_2(X8,X9),esk4_2(X8,X9)) ) )
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(skolemize,[status(esa)],[20]) ).
fof(22,plain,
! [X8,X9,X10,X11] :
( ( ( ( ~ iext(X8,X10,X11)
| iext(X9,X11,X10) )
& ( ~ iext(X9,X11,X10)
| iext(X8,X10,X11) )
& ip(X8)
& ip(X9) )
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ~ ip(X8)
| ~ ip(X9)
| ( ( ~ iext(X8,esk4_2(X8,X9),esk5_2(X8,X9))
| ~ iext(X9,esk5_2(X8,X9),esk4_2(X8,X9)) )
& ( iext(X8,esk4_2(X8,X9),esk5_2(X8,X9))
| iext(X9,esk5_2(X8,X9),esk4_2(X8,X9)) ) )
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(shift_quantors,[status(thm)],[21]) ).
fof(23,plain,
! [X8,X9,X10,X11] :
( ( ~ iext(X8,X10,X11)
| iext(X9,X11,X10)
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ~ iext(X9,X11,X10)
| iext(X8,X10,X11)
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ip(X8)
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ip(X9)
| ~ iext(uri_owl_inverseOf,X8,X9) )
& ( ~ iext(X8,esk4_2(X8,X9),esk5_2(X8,X9))
| ~ iext(X9,esk5_2(X8,X9),esk4_2(X8,X9))
| ~ ip(X8)
| ~ ip(X9)
| iext(uri_owl_inverseOf,X8,X9) )
& ( iext(X8,esk4_2(X8,X9),esk5_2(X8,X9))
| iext(X9,esk5_2(X8,X9),esk4_2(X8,X9))
| ~ ip(X8)
| ~ ip(X9)
| iext(uri_owl_inverseOf,X8,X9) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(26,plain,
( ip(X2)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(28,plain,
( iext(X1,X3,X4)
| ~ iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(30,plain,
! [X8] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X8)
| ( ip(X8)
& ! [X9,X10,X7] :
( ~ iext(X8,X9,X7)
| ~ iext(X8,X10,X7)
| X9 = X10 ) ) )
& ( ~ ip(X8)
| ? [X9,X10,X7] :
( iext(X8,X9,X7)
& iext(X8,X10,X7)
& X9 != X10 )
| icext(uri_owl_InverseFunctionalProperty,X8) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(31,plain,
! [X11] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X11)
| ( ip(X11)
& ! [X12,X13,X14] :
( ~ iext(X11,X12,X14)
| ~ iext(X11,X13,X14)
| X12 = X13 ) ) )
& ( ~ ip(X11)
| ? [X15,X16,X17] :
( iext(X11,X15,X17)
& iext(X11,X16,X17)
& X15 != X16 )
| icext(uri_owl_InverseFunctionalProperty,X11) ) ),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,plain,
! [X11] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X11)
| ( ip(X11)
& ! [X12,X13,X14] :
( ~ iext(X11,X12,X14)
| ~ iext(X11,X13,X14)
| X12 = X13 ) ) )
& ( ~ ip(X11)
| ( iext(X11,esk6_1(X11),esk8_1(X11))
& iext(X11,esk7_1(X11),esk8_1(X11))
& esk6_1(X11) != esk7_1(X11) )
| icext(uri_owl_InverseFunctionalProperty,X11) ) ),
inference(skolemize,[status(esa)],[31]) ).
fof(33,plain,
! [X11,X12,X13,X14] :
( ( ( ( ~ iext(X11,X12,X14)
| ~ iext(X11,X13,X14)
| X12 = X13 )
& ip(X11) )
| ~ icext(uri_owl_InverseFunctionalProperty,X11) )
& ( ~ ip(X11)
| ( iext(X11,esk6_1(X11),esk8_1(X11))
& iext(X11,esk7_1(X11),esk8_1(X11))
& esk6_1(X11) != esk7_1(X11) )
| icext(uri_owl_InverseFunctionalProperty,X11) ) ),
inference(shift_quantors,[status(thm)],[32]) ).
fof(34,plain,
! [X11,X12,X13,X14] :
( ( ~ iext(X11,X12,X14)
| ~ iext(X11,X13,X14)
| X12 = X13
| ~ icext(uri_owl_InverseFunctionalProperty,X11) )
& ( ip(X11)
| ~ icext(uri_owl_InverseFunctionalProperty,X11) )
& ( iext(X11,esk6_1(X11),esk8_1(X11))
| ~ ip(X11)
| icext(uri_owl_InverseFunctionalProperty,X11) )
& ( iext(X11,esk7_1(X11),esk8_1(X11))
| ~ ip(X11)
| icext(uri_owl_InverseFunctionalProperty,X11) )
& ( esk6_1(X11) != esk7_1(X11)
| ~ ip(X11)
| icext(uri_owl_InverseFunctionalProperty,X11) ) ),
inference(distribute,[status(thm)],[33]) ).
cnf(35,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1)
| esk6_1(X1) != esk7_1(X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(36,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk7_1(X1),esk8_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(37,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk6_1(X1),esk8_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(40,plain,
! [X6,X7] :
( ( ~ iext(uri_owl_sameAs,X6,X7)
| X6 = X7 )
& ( X6 != X7
| iext(uri_owl_sameAs,X6,X7) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(41,plain,
! [X8,X9] :
( ( ~ iext(uri_owl_sameAs,X8,X9)
| X8 = X9 )
& ( X8 != X9
| iext(uri_owl_sameAs,X8,X9) ) ),
inference(variable_rename,[status(thm)],[40]) ).
cnf(43,plain,
( X1 = X2
| ~ iext(uri_owl_sameAs,X1,X2) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(44,plain,
! [X6,X11] :
( ( ~ iext(uri_rdf_type,X6,X11)
| icext(X11,X6) )
& ( ~ icext(X11,X6)
| iext(uri_rdf_type,X6,X11) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(45,plain,
! [X12,X13] :
( ( ~ iext(uri_rdf_type,X12,X13)
| icext(X13,X12) )
& ( ~ icext(X13,X12)
| iext(uri_rdf_type,X12,X13) ) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(48,plain,
! [X8,X12,X4,X13,X5] :
( ~ iext(uri_rdf_first,X12,X4)
| ~ iext(uri_rdf_rest,X12,X13)
| ~ iext(uri_rdf_first,X13,X5)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X8,X12)
| ( ip(X8)
& ip(X4)
& ip(X5)
& ! [X14,X15,X16] :
( ~ iext(X4,X14,X15)
| ~ iext(X5,X15,X16)
| iext(X8,X14,X16) ) ) )
& ( ~ ip(X8)
| ~ ip(X4)
| ~ ip(X5)
| ? [X14,X15,X16] :
( iext(X4,X14,X15)
& iext(X5,X15,X16)
& ~ iext(X8,X14,X16) )
| iext(uri_owl_propertyChainAxiom,X8,X12) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(49,plain,
! [X17,X18,X19,X20,X21] :
( ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X17,X18)
| ( ip(X17)
& ip(X19)
& ip(X21)
& ! [X22,X23,X24] :
( ~ iext(X19,X22,X23)
| ~ iext(X21,X23,X24)
| iext(X17,X22,X24) ) ) )
& ( ~ ip(X17)
| ~ ip(X19)
| ~ ip(X21)
| ? [X25,X26,X27] :
( iext(X19,X25,X26)
& iext(X21,X26,X27)
& ~ iext(X17,X25,X27) )
| iext(uri_owl_propertyChainAxiom,X17,X18) ) ) ),
inference(variable_rename,[status(thm)],[48]) ).
fof(50,plain,
! [X17,X18,X19,X20,X21] :
( ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X17,X18)
| ( ip(X17)
& ip(X19)
& ip(X21)
& ! [X22,X23,X24] :
( ~ iext(X19,X22,X23)
| ~ iext(X21,X23,X24)
| iext(X17,X22,X24) ) ) )
& ( ~ ip(X17)
| ~ ip(X19)
| ~ ip(X21)
| ( iext(X19,esk9_5(X17,X18,X19,X20,X21),esk10_5(X17,X18,X19,X20,X21))
& iext(X21,esk10_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21))
& ~ iext(X17,esk9_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21)) )
| iext(uri_owl_propertyChainAxiom,X17,X18) ) ) ),
inference(skolemize,[status(esa)],[49]) ).
fof(51,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24] :
( ( ( ( ( ~ iext(X19,X22,X23)
| ~ iext(X21,X23,X24)
| iext(X17,X22,X24) )
& ip(X17)
& ip(X19)
& ip(X21) )
| ~ iext(uri_owl_propertyChainAxiom,X17,X18) )
& ( ~ ip(X17)
| ~ ip(X19)
| ~ ip(X21)
| ( iext(X19,esk9_5(X17,X18,X19,X20,X21),esk10_5(X17,X18,X19,X20,X21))
& iext(X21,esk10_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21))
& ~ iext(X17,esk9_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21)) )
| iext(uri_owl_propertyChainAxiom,X17,X18) ) )
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[50]) ).
fof(52,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24] :
( ( ~ iext(X19,X22,X23)
| ~ iext(X21,X23,X24)
| iext(X17,X22,X24)
| ~ iext(uri_owl_propertyChainAxiom,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( ip(X17)
| ~ iext(uri_owl_propertyChainAxiom,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( ip(X19)
| ~ iext(uri_owl_propertyChainAxiom,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( ip(X21)
| ~ iext(uri_owl_propertyChainAxiom,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( iext(X19,esk9_5(X17,X18,X19,X20,X21),esk10_5(X17,X18,X19,X20,X21))
| ~ ip(X17)
| ~ ip(X19)
| ~ ip(X21)
| iext(uri_owl_propertyChainAxiom,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( iext(X21,esk10_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21))
| ~ ip(X17)
| ~ ip(X19)
| ~ ip(X21)
| iext(uri_owl_propertyChainAxiom,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( ~ iext(X17,esk9_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21))
| ~ ip(X17)
| ~ ip(X19)
| ~ ip(X21)
| iext(uri_owl_propertyChainAxiom,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[51]) ).
cnf(59,plain,
( iext(X5,X6,X7)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X3)
| ~ iext(X2,X8,X7)
| ~ iext(X4,X6,X8) ),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(61,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[26,13,theory(equality)]) ).
cnf(74,plain,
( iext(esk3_0,X1,X2)
| ~ iext(uri_ex_p,X2,X1) ),
inference(spm,[status(thm)],[28,13,theory(equality)]) ).
cnf(81,plain,
( iext(X1,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,esk2_0,X6)
| ~ iext(uri_rdf_rest,X4,esk2_0)
| ~ iext(X5,X2,X7)
| ~ iext(X6,X7,X3) ),
inference(spm,[status(thm)],[59,14,theory(equality)]) ).
cnf(204,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_rest,X4,esk2_0)
| ~ iext(uri_owl_propertyChainAxiom,X1,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(X5,X2,X6)
| ~ iext(esk3_0,X6,X3) ),
inference(spm,[status(thm)],[81,15,theory(equality)]) ).
cnf(205,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_rdf_rest,esk1_0,esk2_0)
| ~ iext(uri_rdf_first,esk1_0,X3)
| ~ iext(esk3_0,X4,X2)
| ~ iext(X3,X1,X4) ),
inference(spm,[status(thm)],[204,18,theory(equality)]) ).
cnf(210,plain,
( iext(uri_owl_sameAs,X1,X2)
| $false
| ~ iext(uri_rdf_first,esk1_0,X3)
| ~ iext(esk3_0,X4,X2)
| ~ iext(X3,X1,X4) ),
inference(rw,[status(thm)],[205,16,theory(equality)]) ).
cnf(211,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_rdf_first,esk1_0,X3)
| ~ iext(esk3_0,X4,X2)
| ~ iext(X3,X1,X4) ),
inference(cn,[status(thm)],[210,theory(equality)]) ).
cnf(212,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(esk3_0,X3,X2)
| ~ iext(uri_ex_p,X1,X3) ),
inference(spm,[status(thm)],[211,17,theory(equality)]) ).
cnf(217,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_ex_p,X1,X3)
| ~ iext(uri_ex_p,X2,X3) ),
inference(spm,[status(thm)],[212,74,theory(equality)]) ).
cnf(226,plain,
( iext(uri_owl_sameAs,esk6_1(uri_ex_p),X1)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_ex_p,X1,esk8_1(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[217,37,theory(equality)]) ).
cnf(232,plain,
( iext(uri_owl_sameAs,esk6_1(uri_ex_p),X1)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_ex_p,X1,esk8_1(uri_ex_p))
| $false ),
inference(rw,[status(thm)],[226,61,theory(equality)]) ).
cnf(233,plain,
( iext(uri_owl_sameAs,esk6_1(uri_ex_p),X1)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_ex_p,X1,esk8_1(uri_ex_p)) ),
inference(cn,[status(thm)],[232,theory(equality)]) ).
cnf(241,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,esk6_1(uri_ex_p),esk7_1(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[233,36,theory(equality)]) ).
cnf(245,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,esk6_1(uri_ex_p),esk7_1(uri_ex_p))
| $false ),
inference(rw,[status(thm)],[241,61,theory(equality)]) ).
cnf(246,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,esk6_1(uri_ex_p),esk7_1(uri_ex_p)) ),
inference(cn,[status(thm)],[245,theory(equality)]) ).
cnf(247,plain,
( esk6_1(uri_ex_p) = esk7_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[43,246,theory(equality)]) ).
cnf(249,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[35,247,theory(equality)]) ).
cnf(252,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| $false ),
inference(rw,[status(thm)],[249,61,theory(equality)]) ).
cnf(253,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(cn,[status(thm)],[252,theory(equality)]) ).
cnf(258,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(spm,[status(thm)],[46,253,theory(equality)]) ).
cnf(264,plain,
$false,
inference(sr,[status(thm)],[258,10,theory(equality)]) ).
cnf(265,plain,
$false,
264,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB027+2.p
% --creating new selector for []
% -running prover on /tmp/tmpUaShtu/sel_SWB027+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB027+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB027+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB027+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
%
%------------------------------------------------------------------------------