TSTP Solution File: SWB025+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB025+1 : 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 23:56:32 EST 2011

% Result   : Theorem 0.41s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   58 (  20 unt;   0 def)
%            Number of atoms       :  372 (   0 equ)
%            Maximal formula atoms :   53 (   6 avg)
%            Number of connectives :  509 ( 195   ~; 201   |; 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(18,axiom,
    ! [X5,X6] :
      ( iext(uri_owl_inverseOf,X5,X6)
    <=> ( ip(X5)
        & ip(X6)
        & ! [X1,X2] :
            ( iext(X5,X1,X2)
          <=> iext(X6,X2,X1) ) ) ),
    file('/tmp/tmpPOqtYs/sel_SWB025+1.p_1',owl_inv) ).

fof(32,axiom,
    ! [X3,X7,X5,X8,X6] :
      ( ( iext(uri_rdf_first,X7,X5)
        & iext(uri_rdf_rest,X7,X8)
        & iext(uri_rdf_first,X8,X6)
        & iext(uri_rdf_rest,X8,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X3,X7)
      <=> ( ip(X3)
          & ip(X5)
          & ip(X6)
          & ! [X11,X12,X13] :
              ( ( iext(X5,X11,X12)
                & iext(X6,X12,X13) )
             => iext(X3,X11,X13) ) ) ) ),
    file('/tmp/tmpPOqtYs/sel_SWB025+1.p_1',owl_chain_002) ).

fof(36,conjecture,
    ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
    & iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
    file('/tmp/tmpPOqtYs/sel_SWB025+1.p_1',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).

fof(37,axiom,
    ? [X18,X19,X20,X21,X22] :
      ( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X18)
      & iext(uri_rdf_first,X18,uri_ex_hasCousin)
      & iext(uri_rdf_rest,X18,X19)
      & iext(uri_rdf_first,X19,uri_ex_hasFather)
      & iext(uri_rdf_rest,X19,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X20)
      & iext(uri_rdf_first,X20,uri_ex_hasUncle)
      & 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_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/tmpPOqtYs/sel_SWB025+1.p_1',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).

fof(38,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)],[36]) ).

fof(89,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_owl_inverseOf,X5,X6)
        | ( ip(X5)
          & ip(X6)
          & ! [X1,X2] :
              ( ( ~ iext(X5,X1,X2)
                | iext(X6,X2,X1) )
              & ( ~ iext(X6,X2,X1)
                | iext(X5,X1,X2) ) ) ) )
      & ( ~ ip(X5)
        | ~ ip(X6)
        | ? [X1,X2] :
            ( ( ~ iext(X5,X1,X2)
              | ~ iext(X6,X2,X1) )
            & ( iext(X5,X1,X2)
              | iext(X6,X2,X1) ) )
        | iext(uri_owl_inverseOf,X5,X6) ) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(90,plain,
    ! [X7,X8] :
      ( ( ~ iext(uri_owl_inverseOf,X7,X8)
        | ( ip(X7)
          & ip(X8)
          & ! [X9,X10] :
              ( ( ~ iext(X7,X9,X10)
                | iext(X8,X10,X9) )
              & ( ~ iext(X8,X10,X9)
                | iext(X7,X9,X10) ) ) ) )
      & ( ~ ip(X7)
        | ~ ip(X8)
        | ? [X11,X12] :
            ( ( ~ iext(X7,X11,X12)
              | ~ iext(X8,X12,X11) )
            & ( iext(X7,X11,X12)
              | iext(X8,X12,X11) ) )
        | iext(uri_owl_inverseOf,X7,X8) ) ),
    inference(variable_rename,[status(thm)],[89]) ).

fof(91,plain,
    ! [X7,X8] :
      ( ( ~ iext(uri_owl_inverseOf,X7,X8)
        | ( ip(X7)
          & ip(X8)
          & ! [X9,X10] :
              ( ( ~ iext(X7,X9,X10)
                | iext(X8,X10,X9) )
              & ( ~ iext(X8,X10,X9)
                | iext(X7,X9,X10) ) ) ) )
      & ( ~ ip(X7)
        | ~ ip(X8)
        | ( ( ~ iext(X7,esk4_2(X7,X8),esk5_2(X7,X8))
            | ~ iext(X8,esk5_2(X7,X8),esk4_2(X7,X8)) )
          & ( iext(X7,esk4_2(X7,X8),esk5_2(X7,X8))
            | iext(X8,esk5_2(X7,X8),esk4_2(X7,X8)) ) )
        | iext(uri_owl_inverseOf,X7,X8) ) ),
    inference(skolemize,[status(esa)],[90]) ).

fof(92,plain,
    ! [X7,X8,X9,X10] :
      ( ( ( ( ~ iext(X7,X9,X10)
            | iext(X8,X10,X9) )
          & ( ~ iext(X8,X10,X9)
            | iext(X7,X9,X10) )
          & ip(X7)
          & ip(X8) )
        | ~ iext(uri_owl_inverseOf,X7,X8) )
      & ( ~ ip(X7)
        | ~ ip(X8)
        | ( ( ~ iext(X7,esk4_2(X7,X8),esk5_2(X7,X8))
            | ~ iext(X8,esk5_2(X7,X8),esk4_2(X7,X8)) )
          & ( iext(X7,esk4_2(X7,X8),esk5_2(X7,X8))
            | iext(X8,esk5_2(X7,X8),esk4_2(X7,X8)) ) )
        | iext(uri_owl_inverseOf,X7,X8) ) ),
    inference(shift_quantors,[status(thm)],[91]) ).

fof(93,plain,
    ! [X7,X8,X9,X10] :
      ( ( ~ iext(X7,X9,X10)
        | iext(X8,X10,X9)
        | ~ iext(uri_owl_inverseOf,X7,X8) )
      & ( ~ iext(X8,X10,X9)
        | iext(X7,X9,X10)
        | ~ iext(uri_owl_inverseOf,X7,X8) )
      & ( ip(X7)
        | ~ iext(uri_owl_inverseOf,X7,X8) )
      & ( ip(X8)
        | ~ iext(uri_owl_inverseOf,X7,X8) )
      & ( ~ iext(X7,esk4_2(X7,X8),esk5_2(X7,X8))
        | ~ iext(X8,esk5_2(X7,X8),esk4_2(X7,X8))
        | ~ ip(X7)
        | ~ ip(X8)
        | iext(uri_owl_inverseOf,X7,X8) )
      & ( iext(X7,esk4_2(X7,X8),esk5_2(X7,X8))
        | iext(X8,esk5_2(X7,X8),esk4_2(X7,X8))
        | ~ ip(X7)
        | ~ ip(X8)
        | iext(uri_owl_inverseOf,X7,X8) ) ),
    inference(distribute,[status(thm)],[92]) ).

cnf(98,plain,
    ( iext(X1,X3,X4)
    | ~ iext(uri_owl_inverseOf,X1,X2)
    | ~ iext(X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[93]) ).

fof(173,plain,
    ! [X3,X7,X5,X8,X6] :
      ( ~ iext(uri_rdf_first,X7,X5)
      | ~ iext(uri_rdf_rest,X7,X8)
      | ~ iext(uri_rdf_first,X8,X6)
      | ~ iext(uri_rdf_rest,X8,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X3,X7)
          | ( ip(X3)
            & ip(X5)
            & ip(X6)
            & ! [X11,X12,X13] :
                ( ~ iext(X5,X11,X12)
                | ~ iext(X6,X12,X13)
                | iext(X3,X11,X13) ) ) )
        & ( ~ ip(X3)
          | ~ ip(X5)
          | ~ ip(X6)
          | ? [X11,X12,X13] :
              ( iext(X5,X11,X12)
              & iext(X6,X12,X13)
              & ~ iext(X3,X11,X13) )
          | iext(uri_owl_propertyChainAxiom,X3,X7) ) ) ),
    inference(fof_nnf,[status(thm)],[32]) ).

fof(174,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ iext(uri_rdf_first,X15,X16)
      | ~ iext(uri_rdf_rest,X15,X17)
      | ~ iext(uri_rdf_first,X17,X18)
      | ~ iext(uri_rdf_rest,X17,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X14,X15)
          | ( ip(X14)
            & ip(X16)
            & ip(X18)
            & ! [X19,X20,X21] :
                ( ~ iext(X16,X19,X20)
                | ~ iext(X18,X20,X21)
                | iext(X14,X19,X21) ) ) )
        & ( ~ ip(X14)
          | ~ ip(X16)
          | ~ ip(X18)
          | ? [X22,X23,X24] :
              ( iext(X16,X22,X23)
              & iext(X18,X23,X24)
              & ~ iext(X14,X22,X24) )
          | iext(uri_owl_propertyChainAxiom,X14,X15) ) ) ),
    inference(variable_rename,[status(thm)],[173]) ).

fof(175,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ iext(uri_rdf_first,X15,X16)
      | ~ iext(uri_rdf_rest,X15,X17)
      | ~ iext(uri_rdf_first,X17,X18)
      | ~ iext(uri_rdf_rest,X17,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,X14,X15)
          | ( ip(X14)
            & ip(X16)
            & ip(X18)
            & ! [X19,X20,X21] :
                ( ~ iext(X16,X19,X20)
                | ~ iext(X18,X20,X21)
                | iext(X14,X19,X21) ) ) )
        & ( ~ ip(X14)
          | ~ ip(X16)
          | ~ ip(X18)
          | ( iext(X16,esk15_5(X14,X15,X16,X17,X18),esk16_5(X14,X15,X16,X17,X18))
            & iext(X18,esk16_5(X14,X15,X16,X17,X18),esk17_5(X14,X15,X16,X17,X18))
            & ~ iext(X14,esk15_5(X14,X15,X16,X17,X18),esk17_5(X14,X15,X16,X17,X18)) )
          | iext(uri_owl_propertyChainAxiom,X14,X15) ) ) ),
    inference(skolemize,[status(esa)],[174]) ).

fof(176,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21] :
      ( ( ( ( ( ~ iext(X16,X19,X20)
              | ~ iext(X18,X20,X21)
              | iext(X14,X19,X21) )
            & ip(X14)
            & ip(X16)
            & ip(X18) )
          | ~ iext(uri_owl_propertyChainAxiom,X14,X15) )
        & ( ~ ip(X14)
          | ~ ip(X16)
          | ~ ip(X18)
          | ( iext(X16,esk15_5(X14,X15,X16,X17,X18),esk16_5(X14,X15,X16,X17,X18))
            & iext(X18,esk16_5(X14,X15,X16,X17,X18),esk17_5(X14,X15,X16,X17,X18))
            & ~ iext(X14,esk15_5(X14,X15,X16,X17,X18),esk17_5(X14,X15,X16,X17,X18)) )
          | iext(uri_owl_propertyChainAxiom,X14,X15) ) )
      | ~ iext(uri_rdf_first,X15,X16)
      | ~ iext(uri_rdf_rest,X15,X17)
      | ~ iext(uri_rdf_first,X17,X18)
      | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) ),
    inference(shift_quantors,[status(thm)],[175]) ).

fof(177,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21] :
      ( ( ~ iext(X16,X19,X20)
        | ~ iext(X18,X20,X21)
        | iext(X14,X19,X21)
        | ~ iext(uri_owl_propertyChainAxiom,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ip(X14)
        | ~ iext(uri_owl_propertyChainAxiom,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ip(X16)
        | ~ iext(uri_owl_propertyChainAxiom,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ip(X18)
        | ~ iext(uri_owl_propertyChainAxiom,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( iext(X16,esk15_5(X14,X15,X16,X17,X18),esk16_5(X14,X15,X16,X17,X18))
        | ~ ip(X14)
        | ~ ip(X16)
        | ~ ip(X18)
        | iext(uri_owl_propertyChainAxiom,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( iext(X18,esk16_5(X14,X15,X16,X17,X18),esk17_5(X14,X15,X16,X17,X18))
        | ~ ip(X14)
        | ~ ip(X16)
        | ~ ip(X18)
        | iext(uri_owl_propertyChainAxiom,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ~ iext(X14,esk15_5(X14,X15,X16,X17,X18),esk17_5(X14,X15,X16,X17,X18))
        | ~ ip(X14)
        | ~ ip(X16)
        | ~ ip(X18)
        | iext(uri_owl_propertyChainAxiom,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[176]) ).

cnf(184,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)],[177]) ).

fof(191,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)],[38]) ).

cnf(192,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)],[191]) ).

fof(193,plain,
    ? [X23,X24,X25,X26,X27] :
      ( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X23)
      & iext(uri_rdf_first,X23,uri_ex_hasCousin)
      & iext(uri_rdf_rest,X23,X24)
      & iext(uri_rdf_first,X24,uri_ex_hasFather)
      & iext(uri_rdf_rest,X24,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X25)
      & iext(uri_rdf_first,X25,uri_ex_hasUncle)
      & iext(uri_rdf_rest,X25,X26)
      & iext(uri_rdf_first,X26,X27)
      & iext(uri_rdf_rest,X26,uri_rdf_nil)
      & iext(uri_owl_inverseOf,X27,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)],[37]) ).

fof(194,plain,
    ( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk18_0)
    & iext(uri_rdf_first,esk18_0,uri_ex_hasCousin)
    & iext(uri_rdf_rest,esk18_0,esk19_0)
    & iext(uri_rdf_first,esk19_0,uri_ex_hasFather)
    & iext(uri_rdf_rest,esk19_0,uri_rdf_nil)
    & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk20_0)
    & iext(uri_rdf_first,esk20_0,uri_ex_hasUncle)
    & iext(uri_rdf_rest,esk20_0,esk21_0)
    & iext(uri_rdf_first,esk21_0,esk22_0)
    & iext(uri_rdf_rest,esk21_0,uri_rdf_nil)
    & iext(uri_owl_inverseOf,esk22_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)],[193]) ).

cnf(195,plain,
    iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(196,plain,
    iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(197,plain,
    iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(198,plain,
    iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(199,plain,
    iext(uri_owl_inverseOf,esk22_0,uri_ex_hasFather),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(200,plain,
    iext(uri_rdf_rest,esk21_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(201,plain,
    iext(uri_rdf_first,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(202,plain,
    iext(uri_rdf_rest,esk20_0,esk21_0),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(203,plain,
    iext(uri_rdf_first,esk20_0,uri_ex_hasUncle),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(204,plain,
    iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,esk20_0),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(205,plain,
    iext(uri_rdf_rest,esk19_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(206,plain,
    iext(uri_rdf_first,esk19_0,uri_ex_hasFather),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(207,plain,
    iext(uri_rdf_rest,esk18_0,esk19_0),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(208,plain,
    iext(uri_rdf_first,esk18_0,uri_ex_hasCousin),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(209,plain,
    iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,esk18_0),
    inference(split_conjunct,[status(thm)],[194]) ).

cnf(272,plain,
    ( iext(esk22_0,X1,X2)
    | ~ iext(uri_ex_hasFather,X2,X1) ),
    inference(spm,[status(thm)],[98,199,theory(equality)]) ).

cnf(410,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,esk19_0,X6)
    | ~ iext(uri_rdf_rest,X4,esk19_0)
    | ~ iext(X5,X2,X7)
    | ~ iext(X6,X7,X3) ),
    inference(spm,[status(thm)],[184,205,theory(equality)]) ).

cnf(411,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,esk21_0,X6)
    | ~ iext(uri_rdf_rest,X4,esk21_0)
    | ~ iext(X5,X2,X7)
    | ~ iext(X6,X7,X3) ),
    inference(spm,[status(thm)],[184,200,theory(equality)]) ).

cnf(1577,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk19_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(X5,X2,X6)
    | ~ iext(uri_ex_hasFather,X6,X3) ),
    inference(spm,[status(thm)],[410,206,theory(equality)]) ).

cnf(1578,plain,
    ( iext(uri_ex_hasUncle,X1,X2)
    | ~ iext(uri_rdf_rest,esk18_0,esk19_0)
    | ~ iext(uri_rdf_first,esk18_0,X3)
    | ~ iext(uri_ex_hasFather,X4,X2)
    | ~ iext(X3,X1,X4) ),
    inference(spm,[status(thm)],[1577,209,theory(equality)]) ).

cnf(1598,plain,
    ( iext(uri_ex_hasUncle,X1,X2)
    | $false
    | ~ iext(uri_rdf_first,esk18_0,X3)
    | ~ iext(uri_ex_hasFather,X4,X2)
    | ~ iext(X3,X1,X4) ),
    inference(rw,[status(thm)],[1578,207,theory(equality)]) ).

cnf(1599,plain,
    ( iext(uri_ex_hasUncle,X1,X2)
    | ~ iext(uri_rdf_first,esk18_0,X3)
    | ~ iext(uri_ex_hasFather,X4,X2)
    | ~ iext(X3,X1,X4) ),
    inference(cn,[status(thm)],[1598,theory(equality)]) ).

cnf(1616,plain,
    ( iext(uri_ex_hasUncle,X1,X2)
    | ~ iext(uri_ex_hasFather,X3,X2)
    | ~ iext(uri_ex_hasCousin,X1,X3) ),
    inference(spm,[status(thm)],[1599,208,theory(equality)]) ).

cnf(1617,plain,
    ( iext(uri_ex_hasUncle,X1,uri_ex_charly)
    | ~ iext(uri_ex_hasCousin,X1,uri_ex_bob) ),
    inference(spm,[status(thm)],[1616,196,theory(equality)]) ).

cnf(1648,plain,
    iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
    inference(spm,[status(thm)],[1617,197,theory(equality)]) ).

cnf(1653,negated_conjecture,
    ( $false
    | ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
    inference(rw,[status(thm)],[192,1648,theory(equality)]) ).

cnf(1654,negated_conjecture,
    ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
    inference(cn,[status(thm)],[1653,theory(equality)]) ).

cnf(1670,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk21_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(X5,X2,X6)
    | ~ iext(esk22_0,X6,X3) ),
    inference(spm,[status(thm)],[411,201,theory(equality)]) ).

cnf(1801,plain,
    ( iext(uri_ex_hasCousin,X1,X2)
    | ~ iext(uri_rdf_rest,esk20_0,esk21_0)
    | ~ iext(uri_rdf_first,esk20_0,X3)
    | ~ iext(esk22_0,X4,X2)
    | ~ iext(X3,X1,X4) ),
    inference(spm,[status(thm)],[1670,204,theory(equality)]) ).

cnf(1822,plain,
    ( iext(uri_ex_hasCousin,X1,X2)
    | $false
    | ~ iext(uri_rdf_first,esk20_0,X3)
    | ~ iext(esk22_0,X4,X2)
    | ~ iext(X3,X1,X4) ),
    inference(rw,[status(thm)],[1801,202,theory(equality)]) ).

cnf(1823,plain,
    ( iext(uri_ex_hasCousin,X1,X2)
    | ~ iext(uri_rdf_first,esk20_0,X3)
    | ~ iext(esk22_0,X4,X2)
    | ~ iext(X3,X1,X4) ),
    inference(cn,[status(thm)],[1822,theory(equality)]) ).

cnf(1840,plain,
    ( iext(uri_ex_hasCousin,X1,X2)
    | ~ iext(esk22_0,X3,X2)
    | ~ iext(uri_ex_hasUncle,X1,X3) ),
    inference(spm,[status(thm)],[1823,203,theory(equality)]) ).

cnf(1849,plain,
    ( iext(uri_ex_hasCousin,X1,X2)
    | ~ iext(uri_ex_hasUncle,X1,X3)
    | ~ iext(uri_ex_hasFather,X2,X3) ),
    inference(spm,[status(thm)],[1840,272,theory(equality)]) ).

cnf(1868,plain,
    ( iext(uri_ex_hasCousin,uri_ex_bob,X1)
    | ~ iext(uri_ex_hasFather,X1,uri_ex_dave) ),
    inference(spm,[status(thm)],[1849,195,theory(equality)]) ).

cnf(1910,plain,
    iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
    inference(spm,[status(thm)],[1868,198,theory(equality)]) ).

cnf(1911,plain,
    $false,
    inference(sr,[status(thm)],[1910,1654,theory(equality)]) ).

cnf(1912,plain,
    $false,
    1911,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB025+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpPOqtYs/sel_SWB025+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB025+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB025+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB025+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
% 
%------------------------------------------------------------------------------