TSTP Solution File: SWB013+2 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB013+2 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.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 23:44:44 EST 2011

% Result   : Theorem 105.15s
% Output   : CNFRefutation 105.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   94 (  25 unt;   0 def)
%            Number of atoms       :  673 (   7 equ)
%            Maximal formula atoms :   91 (   7 avg)
%            Number of connectives :  943 ( 364   ~; 374   |; 192   &)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   36 (  36 usr;  26 con; 0-7 aty)
%            Number of variables   :  307 (   1 sgn 173   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',rdfs_cext_def) ).

fof(2,conjecture,
    iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',testcase_conclusion_fullish_013_Cliques) ).

fof(3,axiom,
    ? [X3,X4,X5,X6,X7] :
      ( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
      & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
      & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
      & iext(uri_rdfs_subClassOf,uri_ex_Clique,X3)
      & iext(uri_rdf_type,X3,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X3,uri_ex_sameCliqueAs)
      & iext(uri_owl_someValuesFrom,X3,uri_ex_Clique)
      & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
      & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X5)
      & iext(uri_rdf_first,X5,uri_rdf_type)
      & iext(uri_rdf_rest,X5,X6)
      & iext(uri_rdf_first,X6,uri_ex_sameCliqueAs)
      & iext(uri_rdf_rest,X6,X7)
      & iext(uri_rdf_first,X7,X4)
      & iext(uri_rdf_rest,X7,uri_rdf_nil)
      & iext(uri_owl_inverseOf,X4,uri_rdf_type)
      & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
      & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
      & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',testcase_premise_fullish_013_Cliques) ).

fof(4,axiom,
    ! [X8,X9] :
      ( iext(uri_owl_inverseOf,X8,X9)
    <=> ( ip(X8)
        & ip(X9)
        & ! [X1,X10] :
            ( iext(X8,X1,X10)
          <=> iext(X9,X10,X1) ) ) ),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',owl_inv) ).

fof(5,axiom,
    ! [X11,X12] :
      ( iext(uri_rdfs_subClassOf,X11,X12)
    <=> ( ic(X11)
        & ic(X12)
        & ! [X1] :
            ( icext(X11,X1)
           => icext(X12,X1) ) ) ),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',owl_rdfsext_subclassof) ).

fof(6,axiom,
    ! [X8,X9] :
      ( iext(uri_rdfs_subPropertyOf,X8,X9)
    <=> ( ip(X8)
        & ip(X9)
        & ! [X1,X10] :
            ( iext(X8,X1,X10)
           => iext(X9,X1,X10) ) ) ),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',owl_rdfsext_subpropertyof) ).

fof(7,axiom,
    ! [X13,X14,X2] :
      ( ( iext(uri_owl_someValuesFrom,X13,X2)
        & iext(uri_owl_onProperty,X13,X14) )
     => ! [X1] :
          ( icext(X13,X1)
        <=> ? [X10] :
              ( iext(X14,X1,X10)
              & icext(X2,X10) ) ) ),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',owl_restrict_somevaluesfrom) ).

fof(8,axiom,
    ! [X1,X10] :
      ( iext(uri_owl_sameAs,X1,X10)
    <=> X1 = X10 ),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',owl_eqdis_sameas) ).

fof(9,axiom,
    ! [X14,X15,X8,X16,X9,X17,X18] :
      ( ( iext(uri_rdf_first,X15,X8)
        & iext(uri_rdf_rest,X15,X16)
        & iext(uri_rdf_first,X16,X9)
        & iext(uri_rdf_rest,X16,X17)
        & iext(uri_rdf_first,X17,X18)
        & iext(uri_rdf_rest,X17,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X14,X15)
      <=> ( ip(X14)
          & ip(X8)
          & ip(X9)
          & ip(X18)
          & ! [X19,X20,X21,X22] :
              ( ( iext(X8,X19,X20)
                & iext(X9,X20,X21)
                & iext(X18,X21,X22) )
             => iext(X14,X19,X22) ) ) ) ),
    file('/tmp/tmpPYCcpa/sel_SWB013+2.p_2',owl_chain_003) ).

fof(10,negated_conjecture,
    ~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
    inference(assume_negation,[status(cth)],[2]) ).

fof(11,negated_conjecture,
    ~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
    inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).

fof(12,plain,
    ! [X1,X2] :
      ( ( ~ iext(uri_rdf_type,X1,X2)
        | icext(X2,X1) )
      & ( ~ icext(X2,X1)
        | iext(uri_rdf_type,X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(13,plain,
    ! [X3,X4] :
      ( ( ~ iext(uri_rdf_type,X3,X4)
        | icext(X4,X3) )
      & ( ~ icext(X4,X3)
        | iext(uri_rdf_type,X3,X4) ) ),
    inference(variable_rename,[status(thm)],[12]) ).

cnf(14,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(15,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(16,negated_conjecture,
    ~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
    inference(split_conjunct,[status(thm)],[11]) ).

fof(17,plain,
    ? [X8,X9,X10,X11,X12] :
      ( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
      & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
      & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
      & iext(uri_rdfs_subClassOf,uri_ex_Clique,X8)
      & iext(uri_rdf_type,X8,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X8,uri_ex_sameCliqueAs)
      & iext(uri_owl_someValuesFrom,X8,uri_ex_Clique)
      & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
      & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X10)
      & iext(uri_rdf_first,X10,uri_rdf_type)
      & iext(uri_rdf_rest,X10,X11)
      & iext(uri_rdf_first,X11,uri_ex_sameCliqueAs)
      & iext(uri_rdf_rest,X11,X12)
      & iext(uri_rdf_first,X12,X9)
      & iext(uri_rdf_rest,X12,uri_rdf_nil)
      & iext(uri_owl_inverseOf,X9,uri_rdf_type)
      & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
      & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
      & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ),
    inference(variable_rename,[status(thm)],[3]) ).

fof(18,plain,
    ( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
    & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
    & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
    & iext(uri_rdfs_subClassOf,uri_ex_Clique,esk1_0)
    & iext(uri_rdf_type,esk1_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk1_0,uri_ex_sameCliqueAs)
    & iext(uri_owl_someValuesFrom,esk1_0,uri_ex_Clique)
    & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
    & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk3_0)
    & iext(uri_rdf_first,esk3_0,uri_rdf_type)
    & iext(uri_rdf_rest,esk3_0,esk4_0)
    & iext(uri_rdf_first,esk4_0,uri_ex_sameCliqueAs)
    & iext(uri_rdf_rest,esk4_0,esk5_0)
    & iext(uri_rdf_first,esk5_0,esk2_0)
    & iext(uri_rdf_rest,esk5_0,uri_rdf_nil)
    & iext(uri_owl_inverseOf,esk2_0,uri_rdf_type)
    & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
    & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
    & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ),
    inference(skolemize,[status(esa)],[17]) ).

cnf(19,plain,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(20,plain,
    iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(21,plain,
    iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(22,plain,
    iext(uri_owl_inverseOf,esk2_0,uri_rdf_type),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(23,plain,
    iext(uri_rdf_rest,esk5_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(24,plain,
    iext(uri_rdf_first,esk5_0,esk2_0),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(25,plain,
    iext(uri_rdf_rest,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(26,plain,
    iext(uri_rdf_first,esk4_0,uri_ex_sameCliqueAs),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(27,plain,
    iext(uri_rdf_rest,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(28,plain,
    iext(uri_rdf_first,esk3_0,uri_rdf_type),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(29,plain,
    iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk3_0),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(31,plain,
    iext(uri_owl_someValuesFrom,esk1_0,uri_ex_Clique),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(32,plain,
    iext(uri_owl_onProperty,esk1_0,uri_ex_sameCliqueAs),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(34,plain,
    iext(uri_rdfs_subClassOf,uri_ex_Clique,esk1_0),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(36,plain,
    iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
    inference(split_conjunct,[status(thm)],[18]) ).

fof(38,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_owl_inverseOf,X8,X9)
        | ( ip(X8)
          & ip(X9)
          & ! [X1,X10] :
              ( ( ~ iext(X8,X1,X10)
                | iext(X9,X10,X1) )
              & ( ~ iext(X9,X10,X1)
                | iext(X8,X1,X10) ) ) ) )
      & ( ~ ip(X8)
        | ~ ip(X9)
        | ? [X1,X10] :
            ( ( ~ iext(X8,X1,X10)
              | ~ iext(X9,X10,X1) )
            & ( iext(X8,X1,X10)
              | iext(X9,X10,X1) ) )
        | iext(uri_owl_inverseOf,X8,X9) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(39,plain,
    ! [X11,X12] :
      ( ( ~ iext(uri_owl_inverseOf,X11,X12)
        | ( ip(X11)
          & ip(X12)
          & ! [X13,X14] :
              ( ( ~ iext(X11,X13,X14)
                | iext(X12,X14,X13) )
              & ( ~ iext(X12,X14,X13)
                | iext(X11,X13,X14) ) ) ) )
      & ( ~ ip(X11)
        | ~ ip(X12)
        | ? [X15,X16] :
            ( ( ~ iext(X11,X15,X16)
              | ~ iext(X12,X16,X15) )
            & ( iext(X11,X15,X16)
              | iext(X12,X16,X15) ) )
        | iext(uri_owl_inverseOf,X11,X12) ) ),
    inference(variable_rename,[status(thm)],[38]) ).

fof(40,plain,
    ! [X11,X12] :
      ( ( ~ iext(uri_owl_inverseOf,X11,X12)
        | ( ip(X11)
          & ip(X12)
          & ! [X13,X14] :
              ( ( ~ iext(X11,X13,X14)
                | iext(X12,X14,X13) )
              & ( ~ iext(X12,X14,X13)
                | iext(X11,X13,X14) ) ) ) )
      & ( ~ ip(X11)
        | ~ ip(X12)
        | ( ( ~ iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
            | ~ iext(X12,esk7_2(X11,X12),esk6_2(X11,X12)) )
          & ( iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
            | iext(X12,esk7_2(X11,X12),esk6_2(X11,X12)) ) )
        | iext(uri_owl_inverseOf,X11,X12) ) ),
    inference(skolemize,[status(esa)],[39]) ).

fof(41,plain,
    ! [X11,X12,X13,X14] :
      ( ( ( ( ~ iext(X11,X13,X14)
            | iext(X12,X14,X13) )
          & ( ~ iext(X12,X14,X13)
            | iext(X11,X13,X14) )
          & ip(X11)
          & ip(X12) )
        | ~ iext(uri_owl_inverseOf,X11,X12) )
      & ( ~ ip(X11)
        | ~ ip(X12)
        | ( ( ~ iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
            | ~ iext(X12,esk7_2(X11,X12),esk6_2(X11,X12)) )
          & ( iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
            | iext(X12,esk7_2(X11,X12),esk6_2(X11,X12)) ) )
        | iext(uri_owl_inverseOf,X11,X12) ) ),
    inference(shift_quantors,[status(thm)],[40]) ).

fof(42,plain,
    ! [X11,X12,X13,X14] :
      ( ( ~ iext(X11,X13,X14)
        | iext(X12,X14,X13)
        | ~ iext(uri_owl_inverseOf,X11,X12) )
      & ( ~ iext(X12,X14,X13)
        | iext(X11,X13,X14)
        | ~ iext(uri_owl_inverseOf,X11,X12) )
      & ( ip(X11)
        | ~ iext(uri_owl_inverseOf,X11,X12) )
      & ( ip(X12)
        | ~ iext(uri_owl_inverseOf,X11,X12) )
      & ( ~ iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
        | ~ iext(X12,esk7_2(X11,X12),esk6_2(X11,X12))
        | ~ ip(X11)
        | ~ ip(X12)
        | iext(uri_owl_inverseOf,X11,X12) )
      & ( iext(X11,esk6_2(X11,X12),esk7_2(X11,X12))
        | iext(X12,esk7_2(X11,X12),esk6_2(X11,X12))
        | ~ ip(X11)
        | ~ ip(X12)
        | iext(uri_owl_inverseOf,X11,X12) ) ),
    inference(distribute,[status(thm)],[41]) ).

cnf(47,plain,
    ( iext(X1,X3,X4)
    | ~ iext(uri_owl_inverseOf,X1,X2)
    | ~ iext(X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[42]) ).

fof(49,plain,
    ! [X11,X12] :
      ( ( ~ iext(uri_rdfs_subClassOf,X11,X12)
        | ( ic(X11)
          & ic(X12)
          & ! [X1] :
              ( ~ icext(X11,X1)
              | icext(X12,X1) ) ) )
      & ( ~ ic(X11)
        | ~ ic(X12)
        | ? [X1] :
            ( icext(X11,X1)
            & ~ icext(X12,X1) )
        | iext(uri_rdfs_subClassOf,X11,X12) ) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(50,plain,
    ! [X13,X14] :
      ( ( ~ iext(uri_rdfs_subClassOf,X13,X14)
        | ( ic(X13)
          & ic(X14)
          & ! [X15] :
              ( ~ icext(X13,X15)
              | icext(X14,X15) ) ) )
      & ( ~ ic(X13)
        | ~ ic(X14)
        | ? [X16] :
            ( icext(X13,X16)
            & ~ icext(X14,X16) )
        | iext(uri_rdfs_subClassOf,X13,X14) ) ),
    inference(variable_rename,[status(thm)],[49]) ).

fof(51,plain,
    ! [X13,X14] :
      ( ( ~ iext(uri_rdfs_subClassOf,X13,X14)
        | ( ic(X13)
          & ic(X14)
          & ! [X15] :
              ( ~ icext(X13,X15)
              | icext(X14,X15) ) ) )
      & ( ~ ic(X13)
        | ~ ic(X14)
        | ( icext(X13,esk8_2(X13,X14))
          & ~ icext(X14,esk8_2(X13,X14)) )
        | iext(uri_rdfs_subClassOf,X13,X14) ) ),
    inference(skolemize,[status(esa)],[50]) ).

fof(52,plain,
    ! [X13,X14,X15] :
      ( ( ( ( ~ icext(X13,X15)
            | icext(X14,X15) )
          & ic(X13)
          & ic(X14) )
        | ~ iext(uri_rdfs_subClassOf,X13,X14) )
      & ( ~ ic(X13)
        | ~ ic(X14)
        | ( icext(X13,esk8_2(X13,X14))
          & ~ icext(X14,esk8_2(X13,X14)) )
        | iext(uri_rdfs_subClassOf,X13,X14) ) ),
    inference(shift_quantors,[status(thm)],[51]) ).

fof(53,plain,
    ! [X13,X14,X15] :
      ( ( ~ icext(X13,X15)
        | icext(X14,X15)
        | ~ iext(uri_rdfs_subClassOf,X13,X14) )
      & ( ic(X13)
        | ~ iext(uri_rdfs_subClassOf,X13,X14) )
      & ( ic(X14)
        | ~ iext(uri_rdfs_subClassOf,X13,X14) )
      & ( icext(X13,esk8_2(X13,X14))
        | ~ ic(X13)
        | ~ ic(X14)
        | iext(uri_rdfs_subClassOf,X13,X14) )
      & ( ~ icext(X14,esk8_2(X13,X14))
        | ~ ic(X13)
        | ~ ic(X14)
        | iext(uri_rdfs_subClassOf,X13,X14) ) ),
    inference(distribute,[status(thm)],[52]) ).

cnf(58,plain,
    ( icext(X2,X3)
    | ~ iext(uri_rdfs_subClassOf,X1,X2)
    | ~ icext(X1,X3) ),
    inference(split_conjunct,[status(thm)],[53]) ).

fof(59,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X8,X9)
        | ( ip(X8)
          & ip(X9)
          & ! [X1,X10] :
              ( ~ iext(X8,X1,X10)
              | iext(X9,X1,X10) ) ) )
      & ( ~ ip(X8)
        | ~ ip(X9)
        | ? [X1,X10] :
            ( iext(X8,X1,X10)
            & ~ iext(X9,X1,X10) )
        | iext(uri_rdfs_subPropertyOf,X8,X9) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(60,plain,
    ! [X11,X12] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X11,X12)
        | ( ip(X11)
          & ip(X12)
          & ! [X13,X14] :
              ( ~ iext(X11,X13,X14)
              | iext(X12,X13,X14) ) ) )
      & ( ~ ip(X11)
        | ~ ip(X12)
        | ? [X15,X16] :
            ( iext(X11,X15,X16)
            & ~ iext(X12,X15,X16) )
        | iext(uri_rdfs_subPropertyOf,X11,X12) ) ),
    inference(variable_rename,[status(thm)],[59]) ).

fof(61,plain,
    ! [X11,X12] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X11,X12)
        | ( ip(X11)
          & ip(X12)
          & ! [X13,X14] :
              ( ~ iext(X11,X13,X14)
              | iext(X12,X13,X14) ) ) )
      & ( ~ ip(X11)
        | ~ ip(X12)
        | ( iext(X11,esk9_2(X11,X12),esk10_2(X11,X12))
          & ~ iext(X12,esk9_2(X11,X12),esk10_2(X11,X12)) )
        | iext(uri_rdfs_subPropertyOf,X11,X12) ) ),
    inference(skolemize,[status(esa)],[60]) ).

fof(62,plain,
    ! [X11,X12,X13,X14] :
      ( ( ( ( ~ iext(X11,X13,X14)
            | iext(X12,X13,X14) )
          & ip(X11)
          & ip(X12) )
        | ~ iext(uri_rdfs_subPropertyOf,X11,X12) )
      & ( ~ ip(X11)
        | ~ ip(X12)
        | ( iext(X11,esk9_2(X11,X12),esk10_2(X11,X12))
          & ~ iext(X12,esk9_2(X11,X12),esk10_2(X11,X12)) )
        | iext(uri_rdfs_subPropertyOf,X11,X12) ) ),
    inference(shift_quantors,[status(thm)],[61]) ).

fof(63,plain,
    ! [X11,X12,X13,X14] :
      ( ( ~ iext(X11,X13,X14)
        | iext(X12,X13,X14)
        | ~ iext(uri_rdfs_subPropertyOf,X11,X12) )
      & ( ip(X11)
        | ~ iext(uri_rdfs_subPropertyOf,X11,X12) )
      & ( ip(X12)
        | ~ iext(uri_rdfs_subPropertyOf,X11,X12) )
      & ( iext(X11,esk9_2(X11,X12),esk10_2(X11,X12))
        | ~ ip(X11)
        | ~ ip(X12)
        | iext(uri_rdfs_subPropertyOf,X11,X12) )
      & ( ~ iext(X12,esk9_2(X11,X12),esk10_2(X11,X12))
        | ~ ip(X11)
        | ~ ip(X12)
        | iext(uri_rdfs_subPropertyOf,X11,X12) ) ),
    inference(distribute,[status(thm)],[62]) ).

cnf(68,plain,
    ( iext(X2,X3,X4)
    | ~ iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ iext(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[63]) ).

fof(69,plain,
    ! [X13,X14,X2] :
      ( ~ iext(uri_owl_someValuesFrom,X13,X2)
      | ~ iext(uri_owl_onProperty,X13,X14)
      | ! [X1] :
          ( ( ~ icext(X13,X1)
            | ? [X10] :
                ( iext(X14,X1,X10)
                & icext(X2,X10) ) )
          & ( ! [X10] :
                ( ~ iext(X14,X1,X10)
                | ~ icext(X2,X10) )
            | icext(X13,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(70,plain,
    ! [X15,X16,X17] :
      ( ~ iext(uri_owl_someValuesFrom,X15,X17)
      | ~ iext(uri_owl_onProperty,X15,X16)
      | ! [X18] :
          ( ( ~ icext(X15,X18)
            | ? [X19] :
                ( iext(X16,X18,X19)
                & icext(X17,X19) ) )
          & ( ! [X20] :
                ( ~ iext(X16,X18,X20)
                | ~ icext(X17,X20) )
            | icext(X15,X18) ) ) ),
    inference(variable_rename,[status(thm)],[69]) ).

fof(71,plain,
    ! [X15,X16,X17] :
      ( ~ iext(uri_owl_someValuesFrom,X15,X17)
      | ~ iext(uri_owl_onProperty,X15,X16)
      | ! [X18] :
          ( ( ~ icext(X15,X18)
            | ( iext(X16,X18,esk11_4(X15,X16,X17,X18))
              & icext(X17,esk11_4(X15,X16,X17,X18)) ) )
          & ( ! [X20] :
                ( ~ iext(X16,X18,X20)
                | ~ icext(X17,X20) )
            | icext(X15,X18) ) ) ),
    inference(skolemize,[status(esa)],[70]) ).

fof(72,plain,
    ! [X15,X16,X17,X18,X20] :
      ( ( ( ~ iext(X16,X18,X20)
          | ~ icext(X17,X20)
          | icext(X15,X18) )
        & ( ~ icext(X15,X18)
          | ( iext(X16,X18,esk11_4(X15,X16,X17,X18))
            & icext(X17,esk11_4(X15,X16,X17,X18)) ) ) )
      | ~ iext(uri_owl_someValuesFrom,X15,X17)
      | ~ iext(uri_owl_onProperty,X15,X16) ),
    inference(shift_quantors,[status(thm)],[71]) ).

fof(73,plain,
    ! [X15,X16,X17,X18,X20] :
      ( ( ~ iext(X16,X18,X20)
        | ~ icext(X17,X20)
        | icext(X15,X18)
        | ~ iext(uri_owl_someValuesFrom,X15,X17)
        | ~ iext(uri_owl_onProperty,X15,X16) )
      & ( iext(X16,X18,esk11_4(X15,X16,X17,X18))
        | ~ icext(X15,X18)
        | ~ iext(uri_owl_someValuesFrom,X15,X17)
        | ~ iext(uri_owl_onProperty,X15,X16) )
      & ( icext(X17,esk11_4(X15,X16,X17,X18))
        | ~ icext(X15,X18)
        | ~ iext(uri_owl_someValuesFrom,X15,X17)
        | ~ iext(uri_owl_onProperty,X15,X16) ) ),
    inference(distribute,[status(thm)],[72]) ).

cnf(75,plain,
    ( iext(X2,X4,esk11_4(X1,X2,X3,X4))
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[73]) ).

fof(77,plain,
    ! [X1,X10] :
      ( ( ~ iext(uri_owl_sameAs,X1,X10)
        | X1 = X10 )
      & ( X1 != X10
        | iext(uri_owl_sameAs,X1,X10) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(78,plain,
    ! [X11,X12] :
      ( ( ~ iext(uri_owl_sameAs,X11,X12)
        | X11 = X12 )
      & ( X11 != X12
        | iext(uri_owl_sameAs,X11,X12) ) ),
    inference(variable_rename,[status(thm)],[77]) ).

cnf(80,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[78]) ).

fof(81,plain,
    ! [X14,X15,X8,X16,X9,X17,X18] :
      ( ~ iext(uri_rdf_first,X15,X8)
      | ~ iext(uri_rdf_rest,X15,X16)
      | ~ iext(uri_rdf_first,X16,X9)
      | ~ iext(uri_rdf_rest,X16,X17)
      | ~ iext(uri_rdf_first,X17,X18)
      | ~ iext(uri_rdf_rest,X17,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X14,X15)
          | ( ip(X14)
            & ip(X8)
            & ip(X9)
            & ip(X18)
            & ! [X19,X20,X21,X22] :
                ( ~ iext(X8,X19,X20)
                | ~ iext(X9,X20,X21)
                | ~ iext(X18,X21,X22)
                | iext(X14,X19,X22) ) ) )
        & ( ~ ip(X14)
          | ~ ip(X8)
          | ~ ip(X9)
          | ~ ip(X18)
          | ? [X19,X20,X21,X22] :
              ( iext(X8,X19,X20)
              & iext(X9,X20,X21)
              & iext(X18,X21,X22)
              & ~ iext(X14,X19,X22) )
          | iext(uri_owl_propertyChainAxiom,X14,X15) ) ) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(82,plain,
    ! [X23,X24,X25,X26,X27,X28,X29] :
      ( ~ iext(uri_rdf_first,X24,X25)
      | ~ iext(uri_rdf_rest,X24,X26)
      | ~ iext(uri_rdf_first,X26,X27)
      | ~ iext(uri_rdf_rest,X26,X28)
      | ~ iext(uri_rdf_first,X28,X29)
      | ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X23,X24)
          | ( ip(X23)
            & ip(X25)
            & ip(X27)
            & ip(X29)
            & ! [X30,X31,X32,X33] :
                ( ~ iext(X25,X30,X31)
                | ~ iext(X27,X31,X32)
                | ~ iext(X29,X32,X33)
                | iext(X23,X30,X33) ) ) )
        & ( ~ ip(X23)
          | ~ ip(X25)
          | ~ ip(X27)
          | ~ ip(X29)
          | ? [X34,X35,X36,X37] :
              ( iext(X25,X34,X35)
              & iext(X27,X35,X36)
              & iext(X29,X36,X37)
              & ~ iext(X23,X34,X37) )
          | iext(uri_owl_propertyChainAxiom,X23,X24) ) ) ),
    inference(variable_rename,[status(thm)],[81]) ).

fof(83,plain,
    ! [X23,X24,X25,X26,X27,X28,X29] :
      ( ~ iext(uri_rdf_first,X24,X25)
      | ~ iext(uri_rdf_rest,X24,X26)
      | ~ iext(uri_rdf_first,X26,X27)
      | ~ iext(uri_rdf_rest,X26,X28)
      | ~ iext(uri_rdf_first,X28,X29)
      | ~ iext(uri_rdf_rest,X28,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X23,X24)
          | ( ip(X23)
            & ip(X25)
            & ip(X27)
            & ip(X29)
            & ! [X30,X31,X32,X33] :
                ( ~ iext(X25,X30,X31)
                | ~ iext(X27,X31,X32)
                | ~ iext(X29,X32,X33)
                | iext(X23,X30,X33) ) ) )
        & ( ~ ip(X23)
          | ~ ip(X25)
          | ~ ip(X27)
          | ~ ip(X29)
          | ( iext(X25,esk12_7(X23,X24,X25,X26,X27,X28,X29),esk13_7(X23,X24,X25,X26,X27,X28,X29))
            & iext(X27,esk13_7(X23,X24,X25,X26,X27,X28,X29),esk14_7(X23,X24,X25,X26,X27,X28,X29))
            & iext(X29,esk14_7(X23,X24,X25,X26,X27,X28,X29),esk15_7(X23,X24,X25,X26,X27,X28,X29))
            & ~ iext(X23,esk12_7(X23,X24,X25,X26,X27,X28,X29),esk15_7(X23,X24,X25,X26,X27,X28,X29)) )
          | iext(uri_owl_propertyChainAxiom,X23,X24) ) ) ),
    inference(skolemize,[status(esa)],[82]) ).

fof(84,plain,
    ! [X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ( ( ( ( ~ iext(X25,X30,X31)
              | ~ iext(X27,X31,X32)
              | ~ iext(X29,X32,X33)
              | iext(X23,X30,X33) )
            & ip(X23)
            & ip(X25)
            & ip(X27)
            & ip(X29) )
          | ~ iext(uri_owl_propertyChainAxiom,X23,X24) )
        & ( ~ ip(X23)
          | ~ ip(X25)
          | ~ ip(X27)
          | ~ ip(X29)
          | ( iext(X25,esk12_7(X23,X24,X25,X26,X27,X28,X29),esk13_7(X23,X24,X25,X26,X27,X28,X29))
            & iext(X27,esk13_7(X23,X24,X25,X26,X27,X28,X29),esk14_7(X23,X24,X25,X26,X27,X28,X29))
            & iext(X29,esk14_7(X23,X24,X25,X26,X27,X28,X29),esk15_7(X23,X24,X25,X26,X27,X28,X29))
            & ~ iext(X23,esk12_7(X23,X24,X25,X26,X27,X28,X29),esk15_7(X23,X24,X25,X26,X27,X28,X29)) )
          | iext(uri_owl_propertyChainAxiom,X23,X24) ) )
      | ~ iext(uri_rdf_first,X24,X25)
      | ~ iext(uri_rdf_rest,X24,X26)
      | ~ iext(uri_rdf_first,X26,X27)
      | ~ iext(uri_rdf_rest,X26,X28)
      | ~ iext(uri_rdf_first,X28,X29)
      | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) ),
    inference(shift_quantors,[status(thm)],[83]) ).

fof(85,plain,
    ! [X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ( ~ iext(X25,X30,X31)
        | ~ iext(X27,X31,X32)
        | ~ iext(X29,X32,X33)
        | iext(X23,X30,X33)
        | ~ iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ip(X23)
        | ~ iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ip(X25)
        | ~ iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ip(X27)
        | ~ iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ip(X29)
        | ~ iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( iext(X25,esk12_7(X23,X24,X25,X26,X27,X28,X29),esk13_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ ip(X23)
        | ~ ip(X25)
        | ~ ip(X27)
        | ~ ip(X29)
        | iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( iext(X27,esk13_7(X23,X24,X25,X26,X27,X28,X29),esk14_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ ip(X23)
        | ~ ip(X25)
        | ~ ip(X27)
        | ~ ip(X29)
        | iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( iext(X29,esk14_7(X23,X24,X25,X26,X27,X28,X29),esk15_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ ip(X23)
        | ~ ip(X25)
        | ~ ip(X27)
        | ~ ip(X29)
        | iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ~ iext(X23,esk12_7(X23,X24,X25,X26,X27,X28,X29),esk15_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ ip(X23)
        | ~ ip(X25)
        | ~ ip(X27)
        | ~ ip(X29)
        | iext(uri_owl_propertyChainAxiom,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[84]) ).

cnf(94,plain,
    ( iext(X7,X8,X9)
    | ~ 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_rdf_rest,X5,X3)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_owl_propertyChainAxiom,X7,X5)
    | ~ iext(X2,X10,X9)
    | ~ iext(X4,X11,X10)
    | ~ iext(X6,X8,X11) ),
    inference(split_conjunct,[status(thm)],[85]) ).

cnf(104,plain,
    ( icext(esk1_0,X1)
    | ~ icext(uri_ex_Clique,X1) ),
    inference(spm,[status(thm)],[58,34,theory(equality)]) ).

cnf(105,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | ~ iext(uri_ex_sameCliqueAs,X1,X2) ),
    inference(spm,[status(thm)],[68,36,theory(equality)]) ).

cnf(106,plain,
    ( iext(esk2_0,X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(spm,[status(thm)],[47,22,theory(equality)]) ).

cnf(141,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X6,X7)
    | ~ iext(uri_rdf_first,esk5_0,X8)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_rest,X6,esk5_0)
    | ~ iext(X5,X2,X9)
    | ~ iext(X7,X9,X10)
    | ~ iext(X8,X10,X3) ),
    inference(spm,[status(thm)],[94,23,theory(equality)]) ).

cnf(185,plain,
    ( icext(esk1_0,X1)
    | ~ iext(uri_rdf_type,X1,uri_ex_Clique) ),
    inference(spm,[status(thm)],[104,15,theory(equality)]) ).

cnf(212,plain,
    ( iext(uri_owl_sameAs,X1,esk11_4(X2,uri_ex_sameCliqueAs,X3,X1))
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_onProperty,X2,uri_ex_sameCliqueAs)
    | ~ iext(uri_owl_someValuesFrom,X2,X3) ),
    inference(spm,[status(thm)],[105,75,theory(equality)]) ).

cnf(226,plain,
    iext(esk2_0,uri_ex_JoesGang,uri_ex_bob),
    inference(spm,[status(thm)],[106,19,theory(equality)]) ).

cnf(245,plain,
    ( iext(uri_rdf_type,X1,esk1_0)
    | ~ iext(uri_rdf_type,X1,uri_ex_Clique) ),
    inference(spm,[status(thm)],[14,185,theory(equality)]) ).

cnf(249,plain,
    iext(uri_rdf_type,uri_ex_JoesGang,esk1_0),
    inference(spm,[status(thm)],[245,21,theory(equality)]) ).

cnf(964,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk5_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_first,X4,X7)
    | ~ iext(uri_rdf_rest,X5,X4)
    | ~ iext(X6,X2,X8)
    | ~ iext(X7,X8,X9)
    | ~ iext(esk2_0,X9,X3) ),
    inference(spm,[status(thm)],[141,24,theory(equality)]) ).

cnf(1146,plain,
    ( X1 = esk11_4(X2,uri_ex_sameCliqueAs,X3,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_onProperty,X2,uri_ex_sameCliqueAs)
    | ~ iext(uri_owl_someValuesFrom,X2,X3) ),
    inference(spm,[status(thm)],[80,212,theory(equality)]) ).

cnf(1147,plain,
    ( iext(uri_ex_sameCliqueAs,X1,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_onProperty,X2,uri_ex_sameCliqueAs)
    | ~ iext(uri_owl_someValuesFrom,X2,X3) ),
    inference(spm,[status(thm)],[75,1146,theory(equality)]) ).

cnf(1575,plain,
    ( iext(uri_ex_sameCliqueAs,X1,X1)
    | ~ icext(esk1_0,X1)
    | ~ iext(uri_owl_onProperty,esk1_0,uri_ex_sameCliqueAs) ),
    inference(spm,[status(thm)],[1147,31,theory(equality)]) ).

cnf(1581,plain,
    ( iext(uri_ex_sameCliqueAs,X1,X1)
    | ~ icext(esk1_0,X1)
    | $false ),
    inference(rw,[status(thm)],[1575,32,theory(equality)]) ).

cnf(1582,plain,
    ( iext(uri_ex_sameCliqueAs,X1,X1)
    | ~ icext(esk1_0,X1) ),
    inference(cn,[status(thm)],[1581,theory(equality)]) ).

cnf(1583,plain,
    ( iext(uri_ex_sameCliqueAs,X1,X1)
    | ~ iext(uri_rdf_type,X1,esk1_0) ),
    inference(spm,[status(thm)],[1582,15,theory(equality)]) ).

cnf(1601,plain,
    iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
    inference(spm,[status(thm)],[1583,249,theory(equality)]) ).

cnf(11087,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,esk4_0,X6)
    | ~ iext(uri_rdf_rest,X4,esk4_0)
    | ~ iext(esk2_0,X7,X3)
    | ~ iext(X5,X2,X8)
    | ~ iext(X6,X8,X7) ),
    inference(spm,[status(thm)],[964,25,theory(equality)]) ).

cnf(262715,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk4_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(esk2_0,X6,X3)
    | ~ iext(X5,X2,X7)
    | ~ iext(uri_ex_sameCliqueAs,X7,X6) ),
    inference(spm,[status(thm)],[11087,26,theory(equality)]) ).

cnf(396494,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk3_0)
    | ~ iext(uri_rdf_first,esk3_0,X4)
    | ~ iext(esk2_0,X5,X3)
    | ~ iext(uri_ex_sameCliqueAs,X6,X5)
    | ~ iext(X4,X2,X6) ),
    inference(spm,[status(thm)],[262715,27,theory(equality)]) ).

cnf(396496,plain,
    ( iext(uri_foaf_knows,X1,X2)
    | ~ iext(uri_rdf_first,esk3_0,X3)
    | ~ iext(esk2_0,X4,X2)
    | ~ iext(uri_ex_sameCliqueAs,X5,X4)
    | ~ iext(X3,X1,X5) ),
    inference(spm,[status(thm)],[396494,29,theory(equality)]) ).

cnf(396498,plain,
    ( iext(uri_foaf_knows,X1,X2)
    | ~ iext(esk2_0,X3,X2)
    | ~ iext(uri_ex_sameCliqueAs,X4,X3)
    | ~ iext(uri_rdf_type,X1,X4) ),
    inference(spm,[status(thm)],[396496,28,theory(equality)]) ).

cnf(396542,plain,
    ( iext(uri_foaf_knows,X1,uri_ex_bob)
    | ~ iext(uri_ex_sameCliqueAs,X2,uri_ex_JoesGang)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(spm,[status(thm)],[396498,226,theory(equality)]) ).

cnf(397516,plain,
    ( iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)
    | ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang) ),
    inference(spm,[status(thm)],[396542,20,theory(equality)]) ).

cnf(397864,plain,
    ( iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)
    | $false ),
    inference(rw,[status(thm)],[397516,1601,theory(equality)]) ).

cnf(397865,plain,
    iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
    inference(cn,[status(thm)],[397864,theory(equality)]) ).

cnf(397866,plain,
    $false,
    inference(sr,[status(thm)],[397865,16,theory(equality)]) ).

cnf(397867,plain,
    $false,
    397866,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB013+2.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpPYCcpa/sel_SWB013+2.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpPYCcpa/sel_SWB013+2.p_2 with time limit 81
% -prover status Theorem
% Problem SWB013+2.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB013+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB013+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
% 
%------------------------------------------------------------------------------