TSTP Solution File: SWB025+2 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB025+2 : 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 23:56:40 EST 2011

% Result   : Theorem 0.19s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   58 (  19 unt;   0 def)
%            Number of atoms       :  373 (   0 equ)
%            Maximal formula atoms :   53 (   6 avg)
%            Number of connectives :  512 ( 197   ~; 202   |; 108   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  17 con; 0-5 aty)
%            Number of variables   :  167 (   0 sgn  72   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
    & iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
    file('/tmp/tmpNv0HOj/sel_SWB025+2.p_1',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).

fof(2,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_inverseOf,X1,X2)
    <=> ( ip(X1)
        & ip(X2)
        & ! [X3,X4] :
            ( iext(X1,X3,X4)
          <=> iext(X2,X4,X3) ) ) ),
    file('/tmp/tmpNv0HOj/sel_SWB025+2.p_1',owl_inv) ).

fof(3,axiom,
    ! [X5,X6,X1,X7,X2] :
      ( ( iext(uri_rdf_first,X6,X1)
        & iext(uri_rdf_rest,X6,X7)
        & iext(uri_rdf_first,X7,X2)
        & iext(uri_rdf_rest,X7,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X5,X6)
      <=> ( ip(X5)
          & ip(X1)
          & ip(X2)
          & ! [X8,X9,X10] :
              ( ( iext(X1,X8,X9)
                & iext(X2,X9,X10) )
             => iext(X5,X8,X10) ) ) ) ),
    file('/tmp/tmpNv0HOj/sel_SWB025+2.p_1',owl_chain_002) ).

fof(4,axiom,
    ? [X11,X12,X13,X14,X15] :
      ( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X11)
      & iext(uri_rdf_first,X11,uri_ex_hasCousin)
      & iext(uri_rdf_rest,X11,X12)
      & iext(uri_rdf_first,X12,uri_ex_hasFather)
      & iext(uri_rdf_rest,X12,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X13)
      & iext(uri_rdf_first,X13,uri_ex_hasUncle)
      & iext(uri_rdf_rest,X13,X14)
      & iext(uri_rdf_first,X14,X15)
      & iext(uri_rdf_rest,X14,uri_rdf_nil)
      & iext(uri_owl_inverseOf,X15,uri_ex_hasFather)
      & iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
      & iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
      & iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
      & iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
    file('/tmp/tmpNv0HOj/sel_SWB025+2.p_1',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).

fof(5,negated_conjecture,
    ~ ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
      & iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(6,negated_conjecture,
    ( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
    | ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
    inference(fof_nnf,[status(thm)],[5]) ).

cnf(7,negated_conjecture,
    ( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
    | ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
    inference(split_conjunct,[status(thm)],[6]) ).

fof(8,plain,
    ! [X1,X2] :
      ( ( ~ iext(uri_owl_inverseOf,X1,X2)
        | ( ip(X1)
          & ip(X2)
          & ! [X3,X4] :
              ( ( ~ iext(X1,X3,X4)
                | iext(X2,X4,X3) )
              & ( ~ iext(X2,X4,X3)
                | iext(X1,X3,X4) ) ) ) )
      & ( ~ ip(X1)
        | ~ ip(X2)
        | ? [X3,X4] :
            ( ( ~ iext(X1,X3,X4)
              | ~ iext(X2,X4,X3) )
            & ( iext(X1,X3,X4)
              | iext(X2,X4,X3) ) )
        | iext(uri_owl_inverseOf,X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(9,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_owl_inverseOf,X5,X6)
        | ( ip(X5)
          & ip(X6)
          & ! [X7,X8] :
              ( ( ~ iext(X5,X7,X8)
                | iext(X6,X8,X7) )
              & ( ~ iext(X6,X8,X7)
                | iext(X5,X7,X8) ) ) ) )
      & ( ~ ip(X5)
        | ~ ip(X6)
        | ? [X9,X10] :
            ( ( ~ iext(X5,X9,X10)
              | ~ iext(X6,X10,X9) )
            & ( iext(X5,X9,X10)
              | iext(X6,X10,X9) ) )
        | iext(uri_owl_inverseOf,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[8]) ).

fof(10,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_owl_inverseOf,X5,X6)
        | ( ip(X5)
          & ip(X6)
          & ! [X7,X8] :
              ( ( ~ iext(X5,X7,X8)
                | iext(X6,X8,X7) )
              & ( ~ iext(X6,X8,X7)
                | iext(X5,X7,X8) ) ) ) )
      & ( ~ ip(X5)
        | ~ ip(X6)
        | ( ( ~ iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
            | ~ iext(X6,esk2_2(X5,X6),esk1_2(X5,X6)) )
          & ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
            | iext(X6,esk2_2(X5,X6),esk1_2(X5,X6)) ) )
        | iext(uri_owl_inverseOf,X5,X6) ) ),
    inference(skolemize,[status(esa)],[9]) ).

fof(11,plain,
    ! [X5,X6,X7,X8] :
      ( ( ( ( ~ iext(X5,X7,X8)
            | iext(X6,X8,X7) )
          & ( ~ iext(X6,X8,X7)
            | iext(X5,X7,X8) )
          & ip(X5)
          & ip(X6) )
        | ~ iext(uri_owl_inverseOf,X5,X6) )
      & ( ~ ip(X5)
        | ~ ip(X6)
        | ( ( ~ iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
            | ~ iext(X6,esk2_2(X5,X6),esk1_2(X5,X6)) )
          & ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
            | iext(X6,esk2_2(X5,X6),esk1_2(X5,X6)) ) )
        | iext(uri_owl_inverseOf,X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[10]) ).

fof(12,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ iext(X5,X7,X8)
        | iext(X6,X8,X7)
        | ~ iext(uri_owl_inverseOf,X5,X6) )
      & ( ~ iext(X6,X8,X7)
        | iext(X5,X7,X8)
        | ~ iext(uri_owl_inverseOf,X5,X6) )
      & ( ip(X5)
        | ~ iext(uri_owl_inverseOf,X5,X6) )
      & ( ip(X6)
        | ~ iext(uri_owl_inverseOf,X5,X6) )
      & ( ~ iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
        | ~ iext(X6,esk2_2(X5,X6),esk1_2(X5,X6))
        | ~ ip(X5)
        | ~ ip(X6)
        | iext(uri_owl_inverseOf,X5,X6) )
      & ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
        | iext(X6,esk2_2(X5,X6),esk1_2(X5,X6))
        | ~ ip(X5)
        | ~ ip(X6)
        | iext(uri_owl_inverseOf,X5,X6) ) ),
    inference(distribute,[status(thm)],[11]) ).

cnf(17,plain,
    ( iext(X1,X3,X4)
    | ~ iext(uri_owl_inverseOf,X1,X2)
    | ~ iext(X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[12]) ).

fof(19,plain,
    ! [X5,X6,X1,X7,X2] :
      ( ~ iext(uri_rdf_first,X6,X1)
      | ~ iext(uri_rdf_rest,X6,X7)
      | ~ iext(uri_rdf_first,X7,X2)
      | ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X5,X6)
          | ( ip(X5)
            & ip(X1)
            & ip(X2)
            & ! [X8,X9,X10] :
                ( ~ iext(X1,X8,X9)
                | ~ iext(X2,X9,X10)
                | iext(X5,X8,X10) ) ) )
        & ( ~ ip(X5)
          | ~ ip(X1)
          | ~ ip(X2)
          | ? [X8,X9,X10] :
              ( iext(X1,X8,X9)
              & iext(X2,X9,X10)
              & ~ iext(X5,X8,X10) )
          | iext(uri_owl_propertyChainAxiom,X5,X6) ) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(20,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ iext(uri_rdf_first,X12,X13)
      | ~ iext(uri_rdf_rest,X12,X14)
      | ~ iext(uri_rdf_first,X14,X15)
      | ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X11,X12)
          | ( ip(X11)
            & ip(X13)
            & ip(X15)
            & ! [X16,X17,X18] :
                ( ~ iext(X13,X16,X17)
                | ~ iext(X15,X17,X18)
                | iext(X11,X16,X18) ) ) )
        & ( ~ ip(X11)
          | ~ ip(X13)
          | ~ ip(X15)
          | ? [X19,X20,X21] :
              ( iext(X13,X19,X20)
              & iext(X15,X20,X21)
              & ~ iext(X11,X19,X21) )
          | iext(uri_owl_propertyChainAxiom,X11,X12) ) ) ),
    inference(variable_rename,[status(thm)],[19]) ).

fof(21,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ iext(uri_rdf_first,X12,X13)
      | ~ iext(uri_rdf_rest,X12,X14)
      | ~ iext(uri_rdf_first,X14,X15)
      | ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X11,X12)
          | ( ip(X11)
            & ip(X13)
            & ip(X15)
            & ! [X16,X17,X18] :
                ( ~ iext(X13,X16,X17)
                | ~ iext(X15,X17,X18)
                | iext(X11,X16,X18) ) ) )
        & ( ~ ip(X11)
          | ~ ip(X13)
          | ~ ip(X15)
          | ( iext(X13,esk3_5(X11,X12,X13,X14,X15),esk4_5(X11,X12,X13,X14,X15))
            & iext(X15,esk4_5(X11,X12,X13,X14,X15),esk5_5(X11,X12,X13,X14,X15))
            & ~ iext(X11,esk3_5(X11,X12,X13,X14,X15),esk5_5(X11,X12,X13,X14,X15)) )
          | iext(uri_owl_propertyChainAxiom,X11,X12) ) ) ),
    inference(skolemize,[status(esa)],[20]) ).

fof(22,plain,
    ! [X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ( ( ( ( ~ iext(X13,X16,X17)
              | ~ iext(X15,X17,X18)
              | iext(X11,X16,X18) )
            & ip(X11)
            & ip(X13)
            & ip(X15) )
          | ~ iext(uri_owl_propertyChainAxiom,X11,X12) )
        & ( ~ ip(X11)
          | ~ ip(X13)
          | ~ ip(X15)
          | ( iext(X13,esk3_5(X11,X12,X13,X14,X15),esk4_5(X11,X12,X13,X14,X15))
            & iext(X15,esk4_5(X11,X12,X13,X14,X15),esk5_5(X11,X12,X13,X14,X15))
            & ~ iext(X11,esk3_5(X11,X12,X13,X14,X15),esk5_5(X11,X12,X13,X14,X15)) )
          | iext(uri_owl_propertyChainAxiom,X11,X12) ) )
      | ~ iext(uri_rdf_first,X12,X13)
      | ~ iext(uri_rdf_rest,X12,X14)
      | ~ iext(uri_rdf_first,X14,X15)
      | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ),
    inference(shift_quantors,[status(thm)],[21]) ).

fof(23,plain,
    ! [X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ( ~ iext(X13,X16,X17)
        | ~ iext(X15,X17,X18)
        | iext(X11,X16,X18)
        | ~ iext(uri_owl_propertyChainAxiom,X11,X12)
        | ~ iext(uri_rdf_first,X12,X13)
        | ~ iext(uri_rdf_rest,X12,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( ip(X11)
        | ~ iext(uri_owl_propertyChainAxiom,X11,X12)
        | ~ iext(uri_rdf_first,X12,X13)
        | ~ iext(uri_rdf_rest,X12,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( ip(X13)
        | ~ iext(uri_owl_propertyChainAxiom,X11,X12)
        | ~ iext(uri_rdf_first,X12,X13)
        | ~ iext(uri_rdf_rest,X12,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( ip(X15)
        | ~ iext(uri_owl_propertyChainAxiom,X11,X12)
        | ~ iext(uri_rdf_first,X12,X13)
        | ~ iext(uri_rdf_rest,X12,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( iext(X13,esk3_5(X11,X12,X13,X14,X15),esk4_5(X11,X12,X13,X14,X15))
        | ~ ip(X11)
        | ~ ip(X13)
        | ~ ip(X15)
        | iext(uri_owl_propertyChainAxiom,X11,X12)
        | ~ iext(uri_rdf_first,X12,X13)
        | ~ iext(uri_rdf_rest,X12,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( iext(X15,esk4_5(X11,X12,X13,X14,X15),esk5_5(X11,X12,X13,X14,X15))
        | ~ ip(X11)
        | ~ ip(X13)
        | ~ ip(X15)
        | iext(uri_owl_propertyChainAxiom,X11,X12)
        | ~ iext(uri_rdf_first,X12,X13)
        | ~ iext(uri_rdf_rest,X12,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( ~ iext(X11,esk3_5(X11,X12,X13,X14,X15),esk5_5(X11,X12,X13,X14,X15))
        | ~ ip(X11)
        | ~ ip(X13)
        | ~ ip(X15)
        | iext(uri_owl_propertyChainAxiom,X11,X12)
        | ~ iext(uri_rdf_first,X12,X13)
        | ~ iext(uri_rdf_rest,X12,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[22]) ).

cnf(30,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)],[23]) ).

fof(31,plain,
    ? [X16,X17,X18,X19,X20] :
      ( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X16)
      & iext(uri_rdf_first,X16,uri_ex_hasCousin)
      & iext(uri_rdf_rest,X16,X17)
      & iext(uri_rdf_first,X17,uri_ex_hasFather)
      & iext(uri_rdf_rest,X17,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X18)
      & iext(uri_rdf_first,X18,uri_ex_hasUncle)
      & iext(uri_rdf_rest,X18,X19)
      & iext(uri_rdf_first,X19,X20)
      & iext(uri_rdf_rest,X19,uri_rdf_nil)
      & iext(uri_owl_inverseOf,X20,uri_ex_hasFather)
      & iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
      & iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
      & iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
      & iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(32,plain,
    ( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk6_0)
    & iext(uri_rdf_first,esk6_0,uri_ex_hasCousin)
    & iext(uri_rdf_rest,esk6_0,esk7_0)
    & iext(uri_rdf_first,esk7_0,uri_ex_hasFather)
    & iext(uri_rdf_rest,esk7_0,uri_rdf_nil)
    & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk8_0)
    & iext(uri_rdf_first,esk8_0,uri_ex_hasUncle)
    & iext(uri_rdf_rest,esk8_0,esk9_0)
    & iext(uri_rdf_first,esk9_0,esk10_0)
    & iext(uri_rdf_rest,esk9_0,uri_rdf_nil)
    & iext(uri_owl_inverseOf,esk10_0,uri_ex_hasFather)
    & iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
    & iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
    & iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
    & iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
    inference(skolemize,[status(esa)],[31]) ).

cnf(33,plain,
    iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(34,plain,
    iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(35,plain,
    iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(36,plain,
    iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(37,plain,
    iext(uri_owl_inverseOf,esk10_0,uri_ex_hasFather),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(38,plain,
    iext(uri_rdf_rest,esk9_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(39,plain,
    iext(uri_rdf_first,esk9_0,esk10_0),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(40,plain,
    iext(uri_rdf_rest,esk8_0,esk9_0),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(41,plain,
    iext(uri_rdf_first,esk8_0,uri_ex_hasUncle),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(42,plain,
    iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk8_0),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(43,plain,
    iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(44,plain,
    iext(uri_rdf_first,esk7_0,uri_ex_hasFather),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(45,plain,
    iext(uri_rdf_rest,esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(46,plain,
    iext(uri_rdf_first,esk6_0,uri_ex_hasCousin),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(47,plain,
    iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk6_0),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(51,plain,
    ( iext(esk10_0,X1,X2)
    | ~ iext(uri_ex_hasFather,X2,X1) ),
    inference(spm,[status(thm)],[17,37,theory(equality)]) ).

cnf(58,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,esk7_0,X6)
    | ~ iext(uri_rdf_rest,X4,esk7_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,X7)
    | ~ iext(X6,X7,X3) ),
    inference(spm,[status(thm)],[30,43,theory(equality)]) ).

cnf(59,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,esk9_0,X6)
    | ~ iext(uri_rdf_rest,X4,esk9_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,X7)
    | ~ iext(X6,X7,X3) ),
    inference(spm,[status(thm)],[30,38,theory(equality)]) ).

cnf(161,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk7_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,X6)
    | ~ iext(uri_ex_hasFather,X6,X3) ),
    inference(spm,[status(thm)],[58,44,theory(equality)]) ).

cnf(166,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,esk6_0,esk7_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk6_0)
    | ~ iext(uri_ex_hasFather,X4,X3)
    | ~ iext(uri_ex_hasCousin,X2,X4) ),
    inference(spm,[status(thm)],[161,46,theory(equality)]) ).

cnf(172,plain,
    ( iext(X1,X2,X3)
    | $false
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk6_0)
    | ~ iext(uri_ex_hasFather,X4,X3)
    | ~ iext(uri_ex_hasCousin,X2,X4) ),
    inference(rw,[status(thm)],[166,45,theory(equality)]) ).

cnf(173,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk6_0)
    | ~ iext(uri_ex_hasFather,X4,X3)
    | ~ iext(uri_ex_hasCousin,X2,X4) ),
    inference(cn,[status(thm)],[172,theory(equality)]) ).

cnf(174,plain,
    ( iext(uri_ex_hasUncle,X1,X2)
    | ~ iext(uri_ex_hasFather,X3,X2)
    | ~ iext(uri_ex_hasCousin,X1,X3) ),
    inference(spm,[status(thm)],[173,47,theory(equality)]) ).

cnf(175,plain,
    ( iext(uri_ex_hasUncle,X1,uri_ex_charly)
    | ~ iext(uri_ex_hasCousin,X1,uri_ex_bob) ),
    inference(spm,[status(thm)],[174,34,theory(equality)]) ).

cnf(184,negated_conjecture,
    ( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
    | ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob) ),
    inference(spm,[status(thm)],[7,175,theory(equality)]) ).

cnf(185,negated_conjecture,
    ( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
    | $false ),
    inference(rw,[status(thm)],[184,35,theory(equality)]) ).

cnf(186,negated_conjecture,
    ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
    inference(cn,[status(thm)],[185,theory(equality)]) ).

cnf(187,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk9_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,X6)
    | ~ iext(esk10_0,X6,X3) ),
    inference(spm,[status(thm)],[59,39,theory(equality)]) ).

cnf(242,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,esk8_0,esk9_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk8_0)
    | ~ iext(esk10_0,X4,X3)
    | ~ iext(uri_ex_hasUncle,X2,X4) ),
    inference(spm,[status(thm)],[187,41,theory(equality)]) ).

cnf(247,plain,
    ( iext(X1,X2,X3)
    | $false
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk8_0)
    | ~ iext(esk10_0,X4,X3)
    | ~ iext(uri_ex_hasUncle,X2,X4) ),
    inference(rw,[status(thm)],[242,40,theory(equality)]) ).

cnf(248,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk8_0)
    | ~ iext(esk10_0,X4,X3)
    | ~ iext(uri_ex_hasUncle,X2,X4) ),
    inference(cn,[status(thm)],[247,theory(equality)]) ).

cnf(249,plain,
    ( iext(uri_ex_hasCousin,X1,X2)
    | ~ iext(esk10_0,X3,X2)
    | ~ iext(uri_ex_hasUncle,X1,X3) ),
    inference(spm,[status(thm)],[248,42,theory(equality)]) ).

cnf(252,plain,
    ( iext(uri_ex_hasCousin,X1,X2)
    | ~ iext(uri_ex_hasUncle,X1,X3)
    | ~ iext(uri_ex_hasFather,X2,X3) ),
    inference(spm,[status(thm)],[249,51,theory(equality)]) ).

cnf(260,plain,
    ( iext(uri_ex_hasCousin,uri_ex_bob,X1)
    | ~ iext(uri_ex_hasFather,X1,uri_ex_dave) ),
    inference(spm,[status(thm)],[252,33,theory(equality)]) ).

cnf(275,plain,
    iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
    inference(spm,[status(thm)],[260,36,theory(equality)]) ).

cnf(276,plain,
    $false,
    inference(sr,[status(thm)],[275,186,theory(equality)]) ).

cnf(277,plain,
    $false,
    276,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB025+2.p
% --creating new selector for []
% -running prover on /tmp/tmpNv0HOj/sel_SWB025+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB025+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB025+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB025+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
% 
%------------------------------------------------------------------------------