TSTP Solution File: SWB108+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB108+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 : Fri Mar  4 00:56:02 EST 2011

% Result   : Theorem 5.29s
% Output   : CNFRefutation 5.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  116 (  20 unt;   0 def)
%            Number of atoms       :  496 (   0 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  642 ( 262   ~; 302   |;  68   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-4 aty)
%            Number of variables   :  205 (   4 sgn 103   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_equivalentClass,X1,X2)
     => ( ic(X1)
        & ic(X2) ) ),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',owl_prop_equivalentclass_ext) ).

fof(4,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_onClass,X1,X2)
     => ( icext(uri_owl_Restriction,X1)
        & ic(X2) ) ),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',owl_prop_onclass_ext) ).

fof(8,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_onProperty,X1,X2)
     => ( icext(uri_owl_Restriction,X1)
        & ip(X2) ) ),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',owl_prop_onproperty_ext) ).

fof(12,axiom,
    ! [X3,X4,X5] :
      ( ( iext(uri_owl_minQualifiedCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,X3,X4)
        & iext(uri_owl_onClass,X3,X5) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> ? [X2] :
              ( iext(X4,X1,X2)
              & icext(X5,X2) ) ) ),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',owl_restrict_minqcr_object_001) ).

fof(25,axiom,
    ! [X1] :
      ( icext(uri_owl_Restriction,X1)
     => ic(X1) ),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',owl_class_restriction_ext) ).

fof(35,axiom,
    ! [X3,X4,X5] :
      ( ( iext(uri_owl_someValuesFrom,X3,X5)
        & iext(uri_owl_onProperty,X3,X4) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> ? [X2] :
              ( iext(X4,X1,X2)
              & icext(X5,X2) ) ) ),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',owl_restrict_somevaluesfrom) ).

fof(38,axiom,
    ! [X11,X12] :
      ( iext(uri_owl_equivalentClass,X11,X12)
    <=> ( ic(X11)
        & ic(X12)
        & ! [X1] :
            ( icext(X11,X1)
          <=> icext(X12,X1) ) ) ),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',owl_eqdis_equivalentclass) ).

fof(39,axiom,
    ( iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
    & iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',premise_rdfbased_sem_restrict_term_someqcr) ).

fof(40,conjecture,
    iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
    file('/tmp/tmp9f_jiE/sel_SWB108+1.p_1',conclusion_rdfbased_sem_restrict_term_someqcr) ).

fof(41,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
    inference(assume_negation,[status(cth)],[40]) ).

fof(42,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
    inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).

fof(46,plain,
    ! [X1,X2] :
      ( ~ iext(uri_owl_equivalentClass,X1,X2)
      | ( ic(X1)
        & ic(X2) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(47,plain,
    ! [X3,X4] :
      ( ~ iext(uri_owl_equivalentClass,X3,X4)
      | ( ic(X3)
        & ic(X4) ) ),
    inference(variable_rename,[status(thm)],[46]) ).

fof(48,plain,
    ! [X3,X4] :
      ( ( ic(X3)
        | ~ iext(uri_owl_equivalentClass,X3,X4) )
      & ( ic(X4)
        | ~ iext(uri_owl_equivalentClass,X3,X4) ) ),
    inference(distribute,[status(thm)],[47]) ).

cnf(49,plain,
    ( ic(X2)
    | ~ iext(uri_owl_equivalentClass,X1,X2) ),
    inference(split_conjunct,[status(thm)],[48]) ).

fof(52,plain,
    ! [X1,X2] :
      ( ~ iext(uri_owl_onClass,X1,X2)
      | ( icext(uri_owl_Restriction,X1)
        & ic(X2) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(53,plain,
    ! [X3,X4] :
      ( ~ iext(uri_owl_onClass,X3,X4)
      | ( icext(uri_owl_Restriction,X3)
        & ic(X4) ) ),
    inference(variable_rename,[status(thm)],[52]) ).

fof(54,plain,
    ! [X3,X4] :
      ( ( icext(uri_owl_Restriction,X3)
        | ~ iext(uri_owl_onClass,X3,X4) )
      & ( ic(X4)
        | ~ iext(uri_owl_onClass,X3,X4) ) ),
    inference(distribute,[status(thm)],[53]) ).

cnf(56,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onClass,X1,X2) ),
    inference(split_conjunct,[status(thm)],[54]) ).

fof(73,plain,
    ! [X1,X2] :
      ( ~ iext(uri_owl_onProperty,X1,X2)
      | ( icext(uri_owl_Restriction,X1)
        & ip(X2) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(74,plain,
    ! [X3,X4] :
      ( ~ iext(uri_owl_onProperty,X3,X4)
      | ( icext(uri_owl_Restriction,X3)
        & ip(X4) ) ),
    inference(variable_rename,[status(thm)],[73]) ).

fof(75,plain,
    ! [X3,X4] :
      ( ( icext(uri_owl_Restriction,X3)
        | ~ iext(uri_owl_onProperty,X3,X4) )
      & ( ip(X4)
        | ~ iext(uri_owl_onProperty,X3,X4) ) ),
    inference(distribute,[status(thm)],[74]) ).

cnf(77,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(split_conjunct,[status(thm)],[75]) ).

fof(84,plain,
    ! [X3,X4,X5] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X3,X4)
      | ~ iext(uri_owl_onClass,X3,X5)
      | ! [X1] :
          ( ( ~ icext(X3,X1)
            | ? [X2] :
                ( iext(X4,X1,X2)
                & icext(X5,X2) ) )
          & ( ! [X2] :
                ( ~ iext(X4,X1,X2)
                | ~ icext(X5,X2) )
            | icext(X3,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(85,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ~ iext(uri_owl_onClass,X6,X8)
      | ! [X9] :
          ( ( ~ icext(X6,X9)
            | ? [X10] :
                ( iext(X7,X9,X10)
                & icext(X8,X10) ) )
          & ( ! [X11] :
                ( ~ iext(X7,X9,X11)
                | ~ icext(X8,X11) )
            | icext(X6,X9) ) ) ),
    inference(variable_rename,[status(thm)],[84]) ).

fof(86,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ~ iext(uri_owl_onClass,X6,X8)
      | ! [X9] :
          ( ( ~ icext(X6,X9)
            | ( iext(X7,X9,esk3_4(X6,X7,X8,X9))
              & icext(X8,esk3_4(X6,X7,X8,X9)) ) )
          & ( ! [X11] :
                ( ~ iext(X7,X9,X11)
                | ~ icext(X8,X11) )
            | icext(X6,X9) ) ) ),
    inference(skolemize,[status(esa)],[85]) ).

fof(87,plain,
    ! [X6,X7,X8,X9,X11] :
      ( ( ( ~ iext(X7,X9,X11)
          | ~ icext(X8,X11)
          | icext(X6,X9) )
        & ( ~ icext(X6,X9)
          | ( iext(X7,X9,esk3_4(X6,X7,X8,X9))
            & icext(X8,esk3_4(X6,X7,X8,X9)) ) ) )
      | ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ~ iext(uri_owl_onClass,X6,X8) ),
    inference(shift_quantors,[status(thm)],[86]) ).

fof(88,plain,
    ! [X6,X7,X8,X9,X11] :
      ( ( ~ iext(X7,X9,X11)
        | ~ icext(X8,X11)
        | icext(X6,X9)
        | ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X6,X7)
        | ~ iext(uri_owl_onClass,X6,X8) )
      & ( iext(X7,X9,esk3_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X6,X7)
        | ~ iext(uri_owl_onClass,X6,X8) )
      & ( icext(X8,esk3_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X6,X7)
        | ~ iext(uri_owl_onClass,X6,X8) ) ),
    inference(distribute,[status(thm)],[87]) ).

cnf(89,plain,
    ( icext(X2,esk3_4(X1,X3,X2,X4))
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_minQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[88]) ).

cnf(90,plain,
    ( iext(X3,X4,esk3_4(X1,X3,X2,X4))
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_minQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[88]) ).

cnf(91,plain,
    ( icext(X1,X4)
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_minQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ icext(X2,X5)
    | ~ iext(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[88]) ).

fof(129,plain,
    ! [X1] :
      ( ~ icext(uri_owl_Restriction,X1)
      | ic(X1) ),
    inference(fof_nnf,[status(thm)],[25]) ).

fof(130,plain,
    ! [X2] :
      ( ~ icext(uri_owl_Restriction,X2)
      | ic(X2) ),
    inference(variable_rename,[status(thm)],[129]) ).

cnf(131,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(split_conjunct,[status(thm)],[130]) ).

fof(186,plain,
    ! [X3,X4,X5] :
      ( ~ iext(uri_owl_someValuesFrom,X3,X5)
      | ~ iext(uri_owl_onProperty,X3,X4)
      | ! [X1] :
          ( ( ~ icext(X3,X1)
            | ? [X2] :
                ( iext(X4,X1,X2)
                & icext(X5,X2) ) )
          & ( ! [X2] :
                ( ~ iext(X4,X1,X2)
                | ~ icext(X5,X2) )
            | icext(X3,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[35]) ).

fof(187,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_someValuesFrom,X6,X8)
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ! [X9] :
          ( ( ~ icext(X6,X9)
            | ? [X10] :
                ( iext(X7,X9,X10)
                & icext(X8,X10) ) )
          & ( ! [X11] :
                ( ~ iext(X7,X9,X11)
                | ~ icext(X8,X11) )
            | icext(X6,X9) ) ) ),
    inference(variable_rename,[status(thm)],[186]) ).

fof(188,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_someValuesFrom,X6,X8)
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ! [X9] :
          ( ( ~ icext(X6,X9)
            | ( iext(X7,X9,esk12_4(X6,X7,X8,X9))
              & icext(X8,esk12_4(X6,X7,X8,X9)) ) )
          & ( ! [X11] :
                ( ~ iext(X7,X9,X11)
                | ~ icext(X8,X11) )
            | icext(X6,X9) ) ) ),
    inference(skolemize,[status(esa)],[187]) ).

fof(189,plain,
    ! [X6,X7,X8,X9,X11] :
      ( ( ( ~ iext(X7,X9,X11)
          | ~ icext(X8,X11)
          | icext(X6,X9) )
        & ( ~ icext(X6,X9)
          | ( iext(X7,X9,esk12_4(X6,X7,X8,X9))
            & icext(X8,esk12_4(X6,X7,X8,X9)) ) ) )
      | ~ iext(uri_owl_someValuesFrom,X6,X8)
      | ~ iext(uri_owl_onProperty,X6,X7) ),
    inference(shift_quantors,[status(thm)],[188]) ).

fof(190,plain,
    ! [X6,X7,X8,X9,X11] :
      ( ( ~ iext(X7,X9,X11)
        | ~ icext(X8,X11)
        | icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) )
      & ( iext(X7,X9,esk12_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) )
      & ( icext(X8,esk12_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) ) ),
    inference(distribute,[status(thm)],[189]) ).

cnf(191,plain,
    ( icext(X3,esk12_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)],[190]) ).

cnf(192,plain,
    ( iext(X2,X4,esk12_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)],[190]) ).

cnf(193,plain,
    ( icext(X1,X4)
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X3,X5)
    | ~ iext(X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[190]) ).

fof(211,plain,
    ! [X11,X12] :
      ( ( ~ iext(uri_owl_equivalentClass,X11,X12)
        | ( ic(X11)
          & ic(X12)
          & ! [X1] :
              ( ( ~ icext(X11,X1)
                | icext(X12,X1) )
              & ( ~ icext(X12,X1)
                | icext(X11,X1) ) ) ) )
      & ( ~ ic(X11)
        | ~ ic(X12)
        | ? [X1] :
            ( ( ~ icext(X11,X1)
              | ~ icext(X12,X1) )
            & ( icext(X11,X1)
              | icext(X12,X1) ) )
        | iext(uri_owl_equivalentClass,X11,X12) ) ),
    inference(fof_nnf,[status(thm)],[38]) ).

fof(212,plain,
    ! [X13,X14] :
      ( ( ~ iext(uri_owl_equivalentClass,X13,X14)
        | ( ic(X13)
          & ic(X14)
          & ! [X15] :
              ( ( ~ icext(X13,X15)
                | icext(X14,X15) )
              & ( ~ icext(X14,X15)
                | icext(X13,X15) ) ) ) )
      & ( ~ ic(X13)
        | ~ ic(X14)
        | ? [X16] :
            ( ( ~ icext(X13,X16)
              | ~ icext(X14,X16) )
            & ( icext(X13,X16)
              | icext(X14,X16) ) )
        | iext(uri_owl_equivalentClass,X13,X14) ) ),
    inference(variable_rename,[status(thm)],[211]) ).

fof(213,plain,
    ! [X13,X14] :
      ( ( ~ iext(uri_owl_equivalentClass,X13,X14)
        | ( ic(X13)
          & ic(X14)
          & ! [X15] :
              ( ( ~ icext(X13,X15)
                | icext(X14,X15) )
              & ( ~ icext(X14,X15)
                | icext(X13,X15) ) ) ) )
      & ( ~ ic(X13)
        | ~ ic(X14)
        | ( ( ~ icext(X13,esk15_2(X13,X14))
            | ~ icext(X14,esk15_2(X13,X14)) )
          & ( icext(X13,esk15_2(X13,X14))
            | icext(X14,esk15_2(X13,X14)) ) )
        | iext(uri_owl_equivalentClass,X13,X14) ) ),
    inference(skolemize,[status(esa)],[212]) ).

fof(214,plain,
    ! [X13,X14,X15] :
      ( ( ( ( ~ icext(X13,X15)
            | icext(X14,X15) )
          & ( ~ icext(X14,X15)
            | icext(X13,X15) )
          & ic(X13)
          & ic(X14) )
        | ~ iext(uri_owl_equivalentClass,X13,X14) )
      & ( ~ ic(X13)
        | ~ ic(X14)
        | ( ( ~ icext(X13,esk15_2(X13,X14))
            | ~ icext(X14,esk15_2(X13,X14)) )
          & ( icext(X13,esk15_2(X13,X14))
            | icext(X14,esk15_2(X13,X14)) ) )
        | iext(uri_owl_equivalentClass,X13,X14) ) ),
    inference(shift_quantors,[status(thm)],[213]) ).

fof(215,plain,
    ! [X13,X14,X15] :
      ( ( ~ icext(X13,X15)
        | icext(X14,X15)
        | ~ iext(uri_owl_equivalentClass,X13,X14) )
      & ( ~ icext(X14,X15)
        | icext(X13,X15)
        | ~ iext(uri_owl_equivalentClass,X13,X14) )
      & ( ic(X13)
        | ~ iext(uri_owl_equivalentClass,X13,X14) )
      & ( ic(X14)
        | ~ iext(uri_owl_equivalentClass,X13,X14) )
      & ( ~ icext(X13,esk15_2(X13,X14))
        | ~ icext(X14,esk15_2(X13,X14))
        | ~ ic(X13)
        | ~ ic(X14)
        | iext(uri_owl_equivalentClass,X13,X14) )
      & ( icext(X13,esk15_2(X13,X14))
        | icext(X14,esk15_2(X13,X14))
        | ~ ic(X13)
        | ~ ic(X14)
        | iext(uri_owl_equivalentClass,X13,X14) ) ),
    inference(distribute,[status(thm)],[214]) ).

cnf(216,plain,
    ( iext(uri_owl_equivalentClass,X1,X2)
    | icext(X2,esk15_2(X1,X2))
    | icext(X1,esk15_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[215]) ).

cnf(217,plain,
    ( iext(uri_owl_equivalentClass,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk15_2(X1,X2))
    | ~ icext(X1,esk15_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[215]) ).

cnf(222,plain,
    iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
    inference(split_conjunct,[status(thm)],[39]) ).

cnf(223,plain,
    iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_c),
    inference(split_conjunct,[status(thm)],[39]) ).

cnf(224,plain,
    iext(uri_owl_onClass,uri_ex_z2,uri_ex_c),
    inference(split_conjunct,[status(thm)],[39]) ).

cnf(225,plain,
    iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
    inference(split_conjunct,[status(thm)],[39]) ).

cnf(226,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(split_conjunct,[status(thm)],[39]) ).

cnf(227,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
    inference(split_conjunct,[status(thm)],[42]) ).

cnf(252,plain,
    icext(uri_owl_Restriction,uri_ex_z2),
    inference(spm,[status(thm)],[56,224,theory(equality)]) ).

cnf(254,plain,
    icext(uri_owl_Restriction,uri_ex_z1),
    inference(spm,[status(thm)],[77,222,theory(equality)]) ).

cnf(262,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X2)
    | ~ iext(uri_ex_p,X1,X3)
    | ~ icext(X2,X3) ),
    inference(spm,[status(thm)],[193,222,theory(equality)]) ).

cnf(271,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onProperty,X2,uri_owl_onClass)
    | ~ iext(uri_owl_someValuesFrom,X2,X3)
    | ~ icext(X2,X1) ),
    inference(spm,[status(thm)],[56,192,theory(equality)]) ).

cnf(281,plain,
    ( iext(uri_owl_equivalentClass,X1,X2)
    | icext(X1,esk15_2(X1,X2))
    | icext(X2,esk15_2(X1,X2))
    | ~ ic(X1)
    | ~ icext(uri_owl_Restriction,X2) ),
    inference(spm,[status(thm)],[216,131,theory(equality)]) ).

cnf(282,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_owl_onClass,uri_ex_z2,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X3)
    | ~ iext(X3,X1,X4)
    | ~ icext(X2,X4) ),
    inference(spm,[status(thm)],[91,226,theory(equality)]) ).

cnf(617,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X2)
    | ~ icext(X2,esk12_4(X3,uri_ex_p,X4,X1))
    | ~ iext(uri_owl_onProperty,X3,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ icext(X3,X1) ),
    inference(spm,[status(thm)],[262,192,theory(equality)]) ).

cnf(622,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X2)
    | ~ icext(X2,esk3_4(X3,uri_ex_p,X4,X1))
    | ~ iext(uri_owl_minQualifiedCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_onClass,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,uri_ex_p)
    | ~ icext(X3,X1) ),
    inference(spm,[status(thm)],[262,90,theory(equality)]) ).

cnf(629,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_owl_onClass)
    | ~ icext(uri_ex_z1,X1) ),
    inference(spm,[status(thm)],[271,223,theory(equality)]) ).

cnf(770,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_owl_onClass,uri_ex_z2,X2)
    | ~ iext(uri_ex_p,X1,X3)
    | ~ icext(X2,X3) ),
    inference(spm,[status(thm)],[282,225,theory(equality)]) ).

cnf(780,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_owl_onClass,uri_ex_z2,X2)
    | ~ icext(X2,esk12_4(X3,uri_ex_p,X4,X1))
    | ~ iext(uri_owl_onProperty,X3,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ icext(X3,X1) ),
    inference(spm,[status(thm)],[770,192,theory(equality)]) ).

cnf(865,plain,
    ( iext(uri_owl_equivalentClass,X1,uri_ex_z2)
    | icext(uri_ex_z2,esk15_2(X1,uri_ex_z2))
    | icext(X1,esk15_2(X1,uri_ex_z2))
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[281,252,theory(equality)]) ).

cnf(866,plain,
    ( iext(uri_owl_equivalentClass,X1,uri_ex_z1)
    | icext(uri_ex_z1,esk15_2(X1,uri_ex_z1))
    | icext(X1,esk15_2(X1,uri_ex_z1))
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[281,254,theory(equality)]) ).

cnf(882,plain,
    ( iext(uri_owl_equivalentClass,X1,uri_ex_z2)
    | icext(uri_ex_z2,esk15_2(X1,uri_ex_z2))
    | icext(X1,esk15_2(X1,uri_ex_z2))
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(spm,[status(thm)],[865,131,theory(equality)]) ).

cnf(910,plain,
    ( iext(uri_owl_equivalentClass,X1,uri_ex_z1)
    | icext(uri_ex_z1,esk15_2(X1,uri_ex_z1))
    | icext(X1,esk15_2(X1,uri_ex_z1))
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(spm,[status(thm)],[866,131,theory(equality)]) ).

cnf(947,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z2,uri_ex_z2)
    | icext(uri_ex_z2,esk15_2(uri_ex_z2,uri_ex_z2)) ),
    inference(spm,[status(thm)],[882,252,theory(equality)]) ).

cnf(948,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
    | icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2))
    | icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2)) ),
    inference(spm,[status(thm)],[882,254,theory(equality)]) ).

cnf(965,plain,
    ( icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2))
    | icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2)) ),
    inference(sr,[status(thm)],[948,227,theory(equality)]) ).

cnf(972,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z2,uri_ex_z2)
    | ~ ic(uri_ex_z2)
    | ~ icext(uri_ex_z2,esk15_2(uri_ex_z2,uri_ex_z2)) ),
    inference(spm,[status(thm)],[217,947,theory(equality)]) ).

cnf(973,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z2,uri_ex_z2)
    | ~ ic(uri_ex_z2) ),
    inference(csr,[status(thm)],[972,947]) ).

cnf(974,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z2,uri_ex_z2)
    | ~ icext(uri_owl_Restriction,uri_ex_z2) ),
    inference(spm,[status(thm)],[973,131,theory(equality)]) ).

cnf(976,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z2,uri_ex_z2)
    | $false ),
    inference(rw,[status(thm)],[974,252,theory(equality)]) ).

cnf(977,plain,
    iext(uri_owl_equivalentClass,uri_ex_z2,uri_ex_z2),
    inference(cn,[status(thm)],[976,theory(equality)]) ).

cnf(978,plain,
    ic(uri_ex_z2),
    inference(spm,[status(thm)],[49,977,theory(equality)]) ).

cnf(1118,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z1)
    | icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z1)) ),
    inference(spm,[status(thm)],[910,254,theory(equality)]) ).

cnf(1136,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z1)
    | ~ ic(uri_ex_z1)
    | ~ icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z1)) ),
    inference(spm,[status(thm)],[217,1118,theory(equality)]) ).

cnf(1141,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z1)
    | ~ ic(uri_ex_z1) ),
    inference(csr,[status(thm)],[1136,1118]) ).

cnf(1142,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z1)
    | ~ icext(uri_owl_Restriction,uri_ex_z1) ),
    inference(spm,[status(thm)],[1141,131,theory(equality)]) ).

cnf(1144,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z1)
    | $false ),
    inference(rw,[status(thm)],[1142,254,theory(equality)]) ).

cnf(1145,plain,
    iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z1),
    inference(cn,[status(thm)],[1144,theory(equality)]) ).

cnf(1146,plain,
    ic(uri_ex_z1),
    inference(spm,[status(thm)],[49,1145,theory(equality)]) ).

cnf(29062,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_minQualifiedCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X3)
    | ~ iext(uri_owl_onProperty,X2,uri_ex_p)
    | ~ iext(uri_owl_onClass,X2,X3)
    | ~ icext(X2,X1) ),
    inference(spm,[status(thm)],[622,89,theory(equality)]) ).

cnf(31193,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
    | ~ iext(uri_owl_onClass,uri_ex_z2,X2)
    | ~ icext(uri_ex_z2,X1) ),
    inference(spm,[status(thm)],[29062,226,theory(equality)]) ).

cnf(31194,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X2)
    | $false
    | ~ iext(uri_owl_onClass,uri_ex_z2,X2)
    | ~ icext(uri_ex_z2,X1) ),
    inference(rw,[status(thm)],[31193,225,theory(equality)]) ).

cnf(31195,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X2)
    | ~ iext(uri_owl_onClass,uri_ex_z2,X2)
    | ~ icext(uri_ex_z2,X1) ),
    inference(cn,[status(thm)],[31194,theory(equality)]) ).

cnf(31196,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
    | ~ icext(uri_ex_z2,X1) ),
    inference(spm,[status(thm)],[31195,223,theory(equality)]) ).

cnf(31210,plain,
    ( icext(uri_ex_z1,X1)
    | $false
    | ~ icext(uri_ex_z2,X1) ),
    inference(rw,[status(thm)],[31196,224,theory(equality)]) ).

cnf(31211,plain,
    ( icext(uri_ex_z1,X1)
    | ~ icext(uri_ex_z2,X1) ),
    inference(cn,[status(thm)],[31210,theory(equality)]) ).

cnf(31214,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_owl_onClass)
    | ~ icext(uri_ex_z2,X1) ),
    inference(spm,[status(thm)],[629,31211,theory(equality)]) ).

cnf(31452,plain,
    ( icext(uri_owl_Restriction,esk12_4(X1,X2,uri_ex_z2,X3))
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_owl_onClass)
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_z2)
    | ~ icext(X1,X3) ),
    inference(spm,[status(thm)],[31214,191,theory(equality)]) ).

cnf(36225,plain,
    ( icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_owl_Restriction)
    | ~ iext(uri_owl_onProperty,X2,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X2,uri_ex_z2)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_owl_onClass) ),
    inference(spm,[status(thm)],[617,31452,theory(equality)]) ).

cnf(38010,plain,
    ( icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2))
    | icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2))
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_owl_Restriction)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_owl_onClass)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_z2) ),
    inference(spm,[status(thm)],[36225,965,theory(equality)]) ).

cnf(38380,plain,
    ( icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2))
    | icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2))
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_owl_Restriction)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_owl_onClass)
    | $false
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_z2) ),
    inference(rw,[status(thm)],[38010,222,theory(equality)]) ).

cnf(38381,plain,
    ( icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2))
    | icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2))
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_owl_Restriction)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_owl_onClass)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_z2) ),
    inference(cn,[status(thm)],[38380,theory(equality)]) ).

cnf(38596,plain,
    ( icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2))
    | icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2))
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_owl_Restriction)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_owl_onClass) ),
    inference(csr,[status(thm)],[38381,965]) ).

cnf(38597,plain,
    ( icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2))
    | icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2))
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,uri_owl_Restriction) ),
    inference(csr,[status(thm)],[38596,965]) ).

cnf(38598,plain,
    ( icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2))
    | icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2)) ),
    inference(csr,[status(thm)],[38597,965]) ).

cnf(38599,plain,
    icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2)),
    inference(csr,[status(thm)],[38598,31211]) ).

cnf(46197,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_owl_onClass,uri_ex_z2,X2)
    | ~ iext(uri_owl_onProperty,X3,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X3,X2)
    | ~ icext(X3,X1) ),
    inference(spm,[status(thm)],[780,191,theory(equality)]) ).

cnf(46382,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
    | ~ icext(uri_ex_z1,X1) ),
    inference(spm,[status(thm)],[46197,223,theory(equality)]) ).

cnf(46396,plain,
    ( icext(uri_ex_z2,X1)
    | $false
    | ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
    | ~ icext(uri_ex_z1,X1) ),
    inference(rw,[status(thm)],[46382,224,theory(equality)]) ).

cnf(46397,plain,
    ( icext(uri_ex_z2,X1)
    | $false
    | $false
    | ~ icext(uri_ex_z1,X1) ),
    inference(rw,[status(thm)],[46396,222,theory(equality)]) ).

cnf(46398,plain,
    ( icext(uri_ex_z2,X1)
    | ~ icext(uri_ex_z1,X1) ),
    inference(cn,[status(thm)],[46397,theory(equality)]) ).

cnf(46554,plain,
    icext(uri_ex_z2,esk15_2(uri_ex_z1,uri_ex_z2)),
    inference(spm,[status(thm)],[46398,38599,theory(equality)]) ).

cnf(46671,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
    | ~ ic(uri_ex_z2)
    | ~ ic(uri_ex_z1)
    | ~ icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2)) ),
    inference(spm,[status(thm)],[217,46554,theory(equality)]) ).

cnf(46805,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
    | $false
    | ~ ic(uri_ex_z1)
    | ~ icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2)) ),
    inference(rw,[status(thm)],[46671,978,theory(equality)]) ).

cnf(46806,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
    | $false
    | $false
    | ~ icext(uri_ex_z1,esk15_2(uri_ex_z1,uri_ex_z2)) ),
    inference(rw,[status(thm)],[46805,1146,theory(equality)]) ).

cnf(46807,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[46806,38599,theory(equality)]) ).

cnf(46808,plain,
    iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
    inference(cn,[status(thm)],[46807,theory(equality)]) ).

cnf(46809,plain,
    $false,
    inference(sr,[status(thm)],[46808,227,theory(equality)]) ).

cnf(46810,plain,
    $false,
    46809,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB108+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmp9f_jiE/sel_SWB108+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB108+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB108+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB108+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
% 
%------------------------------------------------------------------------------