## TSTP Solution File: SWB027+1 by SInE---0.4

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB027+1 : 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 00:06:51 EST 2011

% Result   : Theorem 0.47s
% Output   : CNFRefutation 0.47s
% 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   ?)

%------------------------------------------------------------------------------
fof(16,axiom,
! [X3] :
( icext(uri_owl_InverseFunctionalProperty,X3)
<=> ( ip(X3)
& ! [X5,X6,X2] :
( ( iext(X3,X5,X2)
& iext(X3,X6,X2) )
=> X5 = X6 ) ) ),
file('/tmp/tmpHKBrMJ/sel_SWB027+1.p_1',owl_char_inversefunctional) ).

fof(20,axiom,
! [X1,X2] :
( iext(uri_owl_sameAs,X1,X2)
<=> X1 = X2 ),
file('/tmp/tmpHKBrMJ/sel_SWB027+1.p_1',owl_eqdis_sameas) ).

fof(23,axiom,
! [X7,X8] :
( iext(uri_owl_inverseOf,X7,X8)
<=> ( ip(X7)
& ip(X8)
& ! [X1,X2] :
( iext(X7,X1,X2)
<=> iext(X8,X2,X1) ) ) ),
file('/tmp/tmpHKBrMJ/sel_SWB027+1.p_1',owl_inv) ).

fof(38,axiom,
! [X3,X9,X7,X10,X8] :
( ( iext(uri_rdf_first,X9,X7)
& iext(uri_rdf_rest,X9,X10)
& iext(uri_rdf_first,X10,X8)
& iext(uri_rdf_rest,X10,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X3,X9)
<=> ( ip(X3)
& ip(X7)
& ip(X8)
& ! [X13,X14,X15] :
( ( iext(X7,X13,X14)
& iext(X8,X14,X15) )
=> iext(X3,X13,X15) ) ) ) ),
file('/tmp/tmpHKBrMJ/sel_SWB027+1.p_1',owl_chain_002) ).

fof(39,axiom,
! [X1,X4] :
( iext(uri_rdf_type,X1,X4)
<=> icext(X4,X1) ),
file('/tmp/tmpHKBrMJ/sel_SWB027+1.p_1',rdfs_cext_def) ).

fof(42,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/tmp/tmpHKBrMJ/sel_SWB027+1.p_1',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).

fof(43,axiom,
? [X20,X21,X22] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X20)
& iext(uri_rdf_first,X20,uri_ex_p)
& iext(uri_rdf_rest,X20,X21)
& iext(uri_rdf_first,X21,X22)
& iext(uri_rdf_rest,X21,uri_rdf_nil)
& iext(uri_owl_inverseOf,X22,uri_ex_p) ),
file('/tmp/tmpHKBrMJ/sel_SWB027+1.p_1',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

fof(44,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[42]) ).

fof(45,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).

fof(87,plain,
! [X3] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X3)
| ( ip(X3)
& ! [X5,X6,X2] :
( ~ iext(X3,X5,X2)
| ~ iext(X3,X6,X2)
| X5 = X6 ) ) )
& ( ~ ip(X3)
| ? [X5,X6,X2] :
( iext(X3,X5,X2)
& iext(X3,X6,X2)
& X5 != X6 )
| icext(uri_owl_InverseFunctionalProperty,X3) ) ),
inference(fof_nnf,[status(thm)],[16]) ).

fof(88,plain,
! [X7] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X7)
| ( ip(X7)
& ! [X8,X9,X10] :
( ~ iext(X7,X8,X10)
| ~ iext(X7,X9,X10)
| X8 = X9 ) ) )
& ( ~ ip(X7)
| ? [X11,X12,X13] :
( iext(X7,X11,X13)
& iext(X7,X12,X13)
& X11 != X12 )
| icext(uri_owl_InverseFunctionalProperty,X7) ) ),
inference(variable_rename,[status(thm)],[87]) ).

fof(89,plain,
! [X7] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X7)
| ( ip(X7)
& ! [X8,X9,X10] :
( ~ iext(X7,X8,X10)
| ~ iext(X7,X9,X10)
| X8 = X9 ) ) )
& ( ~ ip(X7)
| ( iext(X7,esk4_1(X7),esk6_1(X7))
& iext(X7,esk5_1(X7),esk6_1(X7))
& esk4_1(X7) != esk5_1(X7) )
| icext(uri_owl_InverseFunctionalProperty,X7) ) ),
inference(skolemize,[status(esa)],[88]) ).

fof(90,plain,
! [X7,X8,X9,X10] :
( ( ( ( ~ iext(X7,X8,X10)
| ~ iext(X7,X9,X10)
| X8 = X9 )
& ip(X7) )
| ~ icext(uri_owl_InverseFunctionalProperty,X7) )
& ( ~ ip(X7)
| ( iext(X7,esk4_1(X7),esk6_1(X7))
& iext(X7,esk5_1(X7),esk6_1(X7))
& esk4_1(X7) != esk5_1(X7) )
| icext(uri_owl_InverseFunctionalProperty,X7) ) ),
inference(shift_quantors,[status(thm)],[89]) ).

fof(91,plain,
! [X7,X8,X9,X10] :
( ( ~ iext(X7,X8,X10)
| ~ iext(X7,X9,X10)
| X8 = X9
| ~ icext(uri_owl_InverseFunctionalProperty,X7) )
& ( ip(X7)
| ~ icext(uri_owl_InverseFunctionalProperty,X7) )
& ( iext(X7,esk4_1(X7),esk6_1(X7))
| ~ ip(X7)
| icext(uri_owl_InverseFunctionalProperty,X7) )
& ( iext(X7,esk5_1(X7),esk6_1(X7))
| ~ ip(X7)
| icext(uri_owl_InverseFunctionalProperty,X7) )
& ( esk4_1(X7) != esk5_1(X7)
| ~ ip(X7)
| icext(uri_owl_InverseFunctionalProperty,X7) ) ),
inference(distribute,[status(thm)],[90]) ).

cnf(92,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1)
| esk4_1(X1) != esk5_1(X1) ),
inference(split_conjunct,[status(thm)],[91]) ).

cnf(93,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk5_1(X1),esk6_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[91]) ).

cnf(94,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk4_1(X1),esk6_1(X1))
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[91]) ).

fof(107,plain,
! [X1,X2] :
( ( ~ iext(uri_owl_sameAs,X1,X2)
| X1 = X2 )
& ( X1 != X2
| iext(uri_owl_sameAs,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[20]) ).

fof(108,plain,
! [X3,X4] :
( ( ~ iext(uri_owl_sameAs,X3,X4)
| X3 = X4 )
& ( X3 != X4
| iext(uri_owl_sameAs,X3,X4) ) ),
inference(variable_rename,[status(thm)],[107]) ).

cnf(110,plain,
( X1 = X2
| ~ iext(uri_owl_sameAs,X1,X2) ),
inference(split_conjunct,[status(thm)],[108]) ).

fof(117,plain,
! [X7,X8] :
( ( ~ iext(uri_owl_inverseOf,X7,X8)
| ( ip(X7)
& ip(X8)
& ! [X1,X2] :
( ( ~ iext(X7,X1,X2)
| iext(X8,X2,X1) )
& ( ~ iext(X8,X2,X1)
| iext(X7,X1,X2) ) ) ) )
& ( ~ ip(X7)
| ~ ip(X8)
| ? [X1,X2] :
( ( ~ iext(X7,X1,X2)
| ~ iext(X8,X2,X1) )
& ( iext(X7,X1,X2)
| iext(X8,X2,X1) ) )
| iext(uri_owl_inverseOf,X7,X8) ) ),
inference(fof_nnf,[status(thm)],[23]) ).

fof(118,plain,
! [X9,X10] :
( ( ~ iext(uri_owl_inverseOf,X9,X10)
| ( ip(X9)
& ip(X10)
& ! [X11,X12] :
( ( ~ iext(X9,X11,X12)
| iext(X10,X12,X11) )
& ( ~ iext(X10,X12,X11)
| iext(X9,X11,X12) ) ) ) )
& ( ~ ip(X9)
| ~ ip(X10)
| ? [X13,X14] :
( ( ~ iext(X9,X13,X14)
| ~ iext(X10,X14,X13) )
& ( iext(X9,X13,X14)
| iext(X10,X14,X13) ) )
| iext(uri_owl_inverseOf,X9,X10) ) ),
inference(variable_rename,[status(thm)],[117]) ).

fof(119,plain,
! [X9,X10] :
( ( ~ iext(uri_owl_inverseOf,X9,X10)
| ( ip(X9)
& ip(X10)
& ! [X11,X12] :
( ( ~ iext(X9,X11,X12)
| iext(X10,X12,X11) )
& ( ~ iext(X10,X12,X11)
| iext(X9,X11,X12) ) ) ) )
& ( ~ ip(X9)
| ~ ip(X10)
| ( ( ~ iext(X9,esk7_2(X9,X10),esk8_2(X9,X10))
| ~ iext(X10,esk8_2(X9,X10),esk7_2(X9,X10)) )
& ( iext(X9,esk7_2(X9,X10),esk8_2(X9,X10))
| iext(X10,esk8_2(X9,X10),esk7_2(X9,X10)) ) )
| iext(uri_owl_inverseOf,X9,X10) ) ),
inference(skolemize,[status(esa)],[118]) ).

fof(120,plain,
! [X9,X10,X11,X12] :
( ( ( ( ~ iext(X9,X11,X12)
| iext(X10,X12,X11) )
& ( ~ iext(X10,X12,X11)
| iext(X9,X11,X12) )
& ip(X9)
& ip(X10) )
| ~ iext(uri_owl_inverseOf,X9,X10) )
& ( ~ ip(X9)
| ~ ip(X10)
| ( ( ~ iext(X9,esk7_2(X9,X10),esk8_2(X9,X10))
| ~ iext(X10,esk8_2(X9,X10),esk7_2(X9,X10)) )
& ( iext(X9,esk7_2(X9,X10),esk8_2(X9,X10))
| iext(X10,esk8_2(X9,X10),esk7_2(X9,X10)) ) )
| iext(uri_owl_inverseOf,X9,X10) ) ),
inference(shift_quantors,[status(thm)],[119]) ).

fof(121,plain,
! [X9,X10,X11,X12] :
( ( ~ iext(X9,X11,X12)
| iext(X10,X12,X11)
| ~ iext(uri_owl_inverseOf,X9,X10) )
& ( ~ iext(X10,X12,X11)
| iext(X9,X11,X12)
| ~ iext(uri_owl_inverseOf,X9,X10) )
& ( ip(X9)
| ~ iext(uri_owl_inverseOf,X9,X10) )
& ( ip(X10)
| ~ iext(uri_owl_inverseOf,X9,X10) )
& ( ~ iext(X9,esk7_2(X9,X10),esk8_2(X9,X10))
| ~ iext(X10,esk8_2(X9,X10),esk7_2(X9,X10))
| ~ ip(X9)
| ~ ip(X10)
| iext(uri_owl_inverseOf,X9,X10) )
& ( iext(X9,esk7_2(X9,X10),esk8_2(X9,X10))
| iext(X10,esk8_2(X9,X10),esk7_2(X9,X10))
| ~ ip(X9)
| ~ ip(X10)
| iext(uri_owl_inverseOf,X9,X10) ) ),
inference(distribute,[status(thm)],[120]) ).

cnf(124,plain,
( ip(X2)
| ~ iext(uri_owl_inverseOf,X1,X2) ),
inference(split_conjunct,[status(thm)],[121]) ).

cnf(126,plain,
( iext(X1,X3,X4)
| ~ iext(uri_owl_inverseOf,X1,X2)
| ~ iext(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[121]) ).

fof(204,plain,
! [X3,X9,X7,X10,X8] :
( ~ iext(uri_rdf_first,X9,X7)
| ~ iext(uri_rdf_rest,X9,X10)
| ~ iext(uri_rdf_first,X10,X8)
| ~ iext(uri_rdf_rest,X10,uri_rdf_nil)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X3,X9)
| ( ip(X3)
& ip(X7)
& ip(X8)
& ! [X13,X14,X15] :
( ~ iext(X7,X13,X14)
| ~ iext(X8,X14,X15)
| iext(X3,X13,X15) ) ) )
& ( ~ ip(X3)
| ~ ip(X7)
| ~ ip(X8)
| ? [X13,X14,X15] :
( iext(X7,X13,X14)
& iext(X8,X14,X15)
& ~ iext(X3,X13,X15) )
| iext(uri_owl_propertyChainAxiom,X3,X9) ) ) ),
inference(fof_nnf,[status(thm)],[38]) ).

fof(205,plain,
! [X16,X17,X18,X19,X20] :
( ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ( ip(X16)
& ip(X18)
& ip(X20)
& ! [X21,X22,X23] :
( ~ iext(X18,X21,X22)
| ~ iext(X20,X22,X23)
| iext(X16,X21,X23) ) ) )
& ( ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| ? [X24,X25,X26] :
( iext(X18,X24,X25)
& iext(X20,X25,X26)
& ~ iext(X16,X24,X26) )
| iext(uri_owl_propertyChainAxiom,X16,X17) ) ) ),
inference(variable_rename,[status(thm)],[204]) ).

fof(206,plain,
! [X16,X17,X18,X19,X20] :
( ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ( ip(X16)
& ip(X18)
& ip(X20)
& ! [X21,X22,X23] :
( ~ iext(X18,X21,X22)
| ~ iext(X20,X22,X23)
| iext(X16,X21,X23) ) ) )
& ( ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| ( iext(X18,esk18_5(X16,X17,X18,X19,X20),esk19_5(X16,X17,X18,X19,X20))
& iext(X20,esk19_5(X16,X17,X18,X19,X20),esk20_5(X16,X17,X18,X19,X20))
& ~ iext(X16,esk18_5(X16,X17,X18,X19,X20),esk20_5(X16,X17,X18,X19,X20)) )
| iext(uri_owl_propertyChainAxiom,X16,X17) ) ) ),
inference(skolemize,[status(esa)],[205]) ).

fof(207,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ( ( ( ~ iext(X18,X21,X22)
| ~ iext(X20,X22,X23)
| iext(X16,X21,X23) )
& ip(X16)
& ip(X18)
& ip(X20) )
| ~ iext(uri_owl_propertyChainAxiom,X16,X17) )
& ( ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| ( iext(X18,esk18_5(X16,X17,X18,X19,X20),esk19_5(X16,X17,X18,X19,X20))
& iext(X20,esk19_5(X16,X17,X18,X19,X20),esk20_5(X16,X17,X18,X19,X20))
& ~ iext(X16,esk18_5(X16,X17,X18,X19,X20),esk20_5(X16,X17,X18,X19,X20)) )
| iext(uri_owl_propertyChainAxiom,X16,X17) ) )
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) ),
inference(shift_quantors,[status(thm)],[206]) ).

fof(208,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ~ iext(X18,X21,X22)
| ~ iext(X20,X22,X23)
| iext(X16,X21,X23)
| ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ip(X16)
| ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ip(X18)
| ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ip(X20)
| ~ iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( iext(X18,esk18_5(X16,X17,X18,X19,X20),esk19_5(X16,X17,X18,X19,X20))
| ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( iext(X20,esk19_5(X16,X17,X18,X19,X20),esk20_5(X16,X17,X18,X19,X20))
| ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) )
& ( ~ iext(X16,esk18_5(X16,X17,X18,X19,X20),esk20_5(X16,X17,X18,X19,X20))
| ~ ip(X16)
| ~ ip(X18)
| ~ ip(X20)
| iext(uri_owl_propertyChainAxiom,X16,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,X19)
| ~ iext(uri_rdf_first,X19,X20)
| ~ iext(uri_rdf_rest,X19,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[207]) ).

cnf(215,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)],[208]) ).

fof(216,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)],[39]) ).

fof(217,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)],[216]) ).

cnf(218,plain,
( iext(uri_rdf_type,X1,X2)
| ~ icext(X2,X1) ),
inference(split_conjunct,[status(thm)],[217]) ).

cnf(222,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[45]) ).

fof(223,plain,
? [X23,X24,X25] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X23)
& iext(uri_rdf_first,X23,uri_ex_p)
& iext(uri_rdf_rest,X23,X24)
& iext(uri_rdf_first,X24,X25)
& iext(uri_rdf_rest,X24,uri_rdf_nil)
& iext(uri_owl_inverseOf,X25,uri_ex_p) ),
inference(variable_rename,[status(thm)],[43]) ).

fof(224,plain,
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk21_0)
& iext(uri_rdf_first,esk21_0,uri_ex_p)
& iext(uri_rdf_rest,esk21_0,esk22_0)
& iext(uri_rdf_first,esk22_0,esk23_0)
& iext(uri_rdf_rest,esk22_0,uri_rdf_nil)
& iext(uri_owl_inverseOf,esk23_0,uri_ex_p) ),
inference(skolemize,[status(esa)],[223]) ).

cnf(225,plain,
iext(uri_owl_inverseOf,esk23_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[224]) ).

cnf(226,plain,
iext(uri_rdf_rest,esk22_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[224]) ).

cnf(227,plain,
iext(uri_rdf_first,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[224]) ).

cnf(228,plain,
iext(uri_rdf_rest,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[224]) ).

cnf(229,plain,
iext(uri_rdf_first,esk21_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[224]) ).

cnf(230,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk21_0),
inference(split_conjunct,[status(thm)],[224]) ).

cnf(271,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[124,225,theory(equality)]) ).

cnf(338,plain,
( iext(esk23_0,X1,X2)
| ~ iext(uri_ex_p,X2,X1) ),
inference(spm,[status(thm)],[126,225,theory(equality)]) ).

cnf(514,plain,
( iext(X1,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,esk22_0,X6)
| ~ iext(uri_rdf_rest,X4,esk22_0)
| ~ iext(X5,X2,X7)
| ~ iext(X6,X7,X3) ),
inference(spm,[status(thm)],[215,226,theory(equality)]) ).

cnf(2237,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_rest,X4,esk22_0)
| ~ iext(uri_owl_propertyChainAxiom,X1,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(X5,X2,X6)
| ~ iext(esk23_0,X6,X3) ),
inference(spm,[status(thm)],[514,227,theory(equality)]) ).

cnf(2238,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_rdf_rest,esk21_0,esk22_0)
| ~ iext(uri_rdf_first,esk21_0,X3)
| ~ iext(esk23_0,X4,X2)
| ~ iext(X3,X1,X4) ),
inference(spm,[status(thm)],[2237,230,theory(equality)]) ).

cnf(2263,plain,
( iext(uri_owl_sameAs,X1,X2)
| \$false
| ~ iext(uri_rdf_first,esk21_0,X3)
| ~ iext(esk23_0,X4,X2)
| ~ iext(X3,X1,X4) ),
inference(rw,[status(thm)],[2238,228,theory(equality)]) ).

cnf(2264,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_rdf_first,esk21_0,X3)
| ~ iext(esk23_0,X4,X2)
| ~ iext(X3,X1,X4) ),
inference(cn,[status(thm)],[2263,theory(equality)]) ).

cnf(2285,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(esk23_0,X3,X2)
| ~ iext(uri_ex_p,X1,X3) ),
inference(spm,[status(thm)],[2264,229,theory(equality)]) ).

cnf(2296,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(uri_ex_p,X1,X3)
| ~ iext(uri_ex_p,X2,X3) ),
inference(spm,[status(thm)],[2285,338,theory(equality)]) ).

cnf(2319,plain,
( iext(uri_owl_sameAs,esk4_1(uri_ex_p),X1)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_ex_p,X1,esk6_1(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[2296,94,theory(equality)]) ).

cnf(2352,plain,
( iext(uri_owl_sameAs,esk4_1(uri_ex_p),X1)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_ex_p,X1,esk6_1(uri_ex_p))
| \$false ),
inference(rw,[status(thm)],[2319,271,theory(equality)]) ).

cnf(2353,plain,
( iext(uri_owl_sameAs,esk4_1(uri_ex_p),X1)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_ex_p,X1,esk6_1(uri_ex_p)) ),
inference(cn,[status(thm)],[2352,theory(equality)]) ).

cnf(2373,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,esk4_1(uri_ex_p),esk5_1(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[2353,93,theory(equality)]) ).

cnf(2377,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,esk4_1(uri_ex_p),esk5_1(uri_ex_p))
| \$false ),
inference(rw,[status(thm)],[2373,271,theory(equality)]) ).

cnf(2378,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,esk4_1(uri_ex_p),esk5_1(uri_ex_p)) ),
inference(cn,[status(thm)],[2377,theory(equality)]) ).

cnf(2379,plain,
( esk4_1(uri_ex_p) = esk5_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[110,2378,theory(equality)]) ).

cnf(2383,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[92,2379,theory(equality)]) ).

cnf(2386,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| \$false ),
inference(rw,[status(thm)],[2383,271,theory(equality)]) ).

cnf(2387,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(cn,[status(thm)],[2386,theory(equality)]) ).

cnf(2392,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(spm,[status(thm)],[218,2387,theory(equality)]) ).

cnf(2399,plain,
\$false,
inference(sr,[status(thm)],[2392,222,theory(equality)]) ).

cnf(2400,plain,
\$false,
2399,
[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/SWB027+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpHKBrMJ/sel_SWB027+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB027+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB027+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB027+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
%
%------------------------------------------------------------------------------
```