TSTP Solution File: SWB045+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB045+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:09:32 EDT 2023

% Result   : Theorem 238.38s 32.40s
% Output   : CNFRefutation 238.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   88 (  20 unt;   0 def)
%            Number of atoms       :  378 (  64 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  452 ( 162   ~; 168   |;  95   &)
%                                         (  17 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :  189 (   3 sgn; 118   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f295,axiom,
    ! [X10,X11,X20] :
      ( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
        & iext(uri_rdf_first,X11,X20) )
     => ( iext(uri_owl_oneOf,X10,X11)
      <=> ( ! [X3] :
              ( icext(X10,X3)
            <=> X3 = X20 )
          & ic(X10) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f342,axiom,
    ! [X1,X4] :
      ( iext(uri_rdfs_range,X1,X4)
    <=> ( ! [X3,X6] :
            ( iext(X1,X3,X6)
           => icext(X4,X6) )
        & ip(X4)
        & ip(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_range) ).

fof(f393,axiom,
    ! [X1] :
      ( icext(uri_owl_FunctionalProperty,X1)
    <=> ( ! [X3,X26,X27] :
            ( ( iext(X1,X3,X27)
              & iext(X1,X3,X26) )
           => X26 = X27 )
        & ip(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_functional) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_functional_ext) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    ? [X41,X36] :
      ( iext(uri_owl_oneOf,X41,X36)
      & iext(uri_rdf_rest,X36,uri_rdf_nil)
      & iext(uri_rdf_first,X36,uri_ex_y)
      & iext(uri_ex_p,uri_ex_x,uri_ex_y)
      & iext(uri_rdfs_range,uri_ex_p,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_functional_ext) ).

fof(f565,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f706,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) ) ),
    inference(rectify,[],[f295]) ).

fof(f753,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f342]) ).

fof(f796,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X1,X2) )
           => X2 = X3 )
        & ip(X0) ) ),
    inference(rectify,[],[f393]) ).

fof(f920,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    inference(flattening,[],[f560]) ).

fof(f921,plain,
    ? [X0,X1] :
      ( iext(uri_owl_oneOf,X0,X1)
      & iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_rdf_first,X1,uri_ex_y)
      & iext(uri_ex_p,uri_ex_x,uri_ex_y)
      & iext(uri_rdfs_range,uri_ex_p,X0) ),
    inference(rectify,[],[f561]) ).

fof(f1046,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(ennf_transformation,[],[f706]) ).

fof(f1047,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f1046]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( icext(X1,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f753]) ).

fof(f1197,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X2 = X3
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X1,X2) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f796]) ).

fof(f1198,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X2 = X3
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X1,X2) )
        & ip(X0) ) ),
    inference(flattening,[],[f1197]) ).

fof(f1410,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f565]) ).

fof(f1498,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X2 = X3
                  | ~ icext(X0,X3) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(nnf_transformation,[],[f1047]) ).

fof(f1499,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X2 = X3
                  | ~ icext(X0,X3) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f1498]) ).

fof(f1500,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(rectify,[],[f1499]) ).

fof(f1501,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( ( X2 != X3
            | ~ icext(X0,X3) )
          & ( X2 = X3
            | icext(X0,X3) ) )
     => ( ( sK62(X0,X2) != X2
          | ~ icext(X0,sK62(X0,X2)) )
        & ( sK62(X0,X2) = X2
          | icext(X0,sK62(X0,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1502,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ( ( sK62(X0,X2) != X2
              | ~ icext(X0,sK62(X0,X2)) )
            & ( sK62(X0,X2) = X2
              | icext(X0,sK62(X0,X2)) ) )
          | ~ ic(X0) )
        & ( ( ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f1500,f1501]) ).

fof(f1715,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(nnf_transformation,[],[f1139]) ).

fof(f1716,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(flattening,[],[f1715]) ).

fof(f1717,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(rectify,[],[f1716]) ).

fof(f1718,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X1,X3)
          & iext(X0,X2,X3) )
     => ( ~ icext(X1,sK166(X0,X1))
        & iext(X0,sK165(X0,X1),sK166(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1719,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ( ~ icext(X1,sK166(X0,X1))
          & iext(X0,sK165(X0,X1),sK166(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK165,sK166])],[f1717,f1718]) ).

fof(f1863,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X2 = X3
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X1,X2) )
          & ip(X0) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f1198]) ).

fof(f1864,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X2 = X3
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X1,X2) )
          & ip(X0) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(flattening,[],[f1863]) ).

fof(f1865,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X5 = X6
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X4,X5) )
          & ip(X0) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(rectify,[],[f1864]) ).

fof(f1866,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & iext(X0,X1,X3)
          & iext(X0,X1,X2) )
     => ( sK223(X0) != sK224(X0)
        & iext(X0,sK222(X0),sK224(X0))
        & iext(X0,sK222(X0),sK223(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1867,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ( sK223(X0) != sK224(X0)
          & iext(X0,sK222(X0),sK224(X0))
          & iext(X0,sK222(X0),sK223(X0)) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X5 = X6
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X4,X5) )
          & ip(X0) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK222,sK223,sK224])],[f1865,f1866]) ).

fof(f1920,plain,
    ( ? [X0,X1] :
        ( iext(uri_owl_oneOf,X0,X1)
        & iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,uri_ex_y)
        & iext(uri_ex_p,uri_ex_x,uri_ex_y)
        & iext(uri_rdfs_range,uri_ex_p,X0) )
   => ( iext(uri_owl_oneOf,sK251,sK252)
      & iext(uri_rdf_rest,sK252,uri_rdf_nil)
      & iext(uri_rdf_first,sK252,uri_ex_y)
      & iext(uri_ex_p,uri_ex_x,uri_ex_y)
      & iext(uri_rdfs_range,uri_ex_p,sK251) ) ),
    introduced(choice_axiom,[]) ).

fof(f1921,plain,
    ( iext(uri_owl_oneOf,sK251,sK252)
    & iext(uri_rdf_rest,sK252,uri_rdf_nil)
    & iext(uri_rdf_first,sK252,uri_ex_y)
    & iext(uri_ex_p,uri_ex_x,uri_ex_y)
    & iext(uri_rdfs_range,uri_ex_p,sK251) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK251,sK252])],[f921,f1920]) ).

fof(f1948,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f1410]) ).

fof(f2379,plain,
    ! [X2,X0,X1,X4] :
      ( X2 = X4
      | ~ icext(X0,X4)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f1502]) ).

fof(f2767,plain,
    ! [X0,X1] :
      ( ip(X0)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[],[f1719]) ).

fof(f2769,plain,
    ! [X0,X1,X4,X5] :
      ( icext(X1,X5)
      | ~ iext(X0,X4,X5)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[],[f1719]) ).

fof(f2975,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
      | iext(X0,sK222(X0),sK223(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1867]) ).

fof(f2976,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
      | iext(X0,sK222(X0),sK224(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1867]) ).

fof(f2977,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
      | sK223(X0) != sK224(X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1867]) ).

fof(f3211,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f920]) ).

fof(f3212,plain,
    iext(uri_rdfs_range,uri_ex_p,sK251),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3214,plain,
    iext(uri_rdf_first,sK252,uri_ex_y),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3215,plain,
    iext(uri_rdf_rest,sK252,uri_rdf_nil),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3216,plain,
    iext(uri_owl_oneOf,sK251,sK252),
    inference(cnf_transformation,[],[f1921]) ).

cnf(c_74,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf_transformation,[],[f1948]) ).

cnf(c_508,plain,
    ( ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_owl_oneOf,X2,X0)
    | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
    | ~ icext(X2,X3)
    | X1 = X3 ),
    inference(cnf_transformation,[],[f2379]) ).

cnf(c_896,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(uri_rdfs_range,X0,X3)
    | icext(X3,X2) ),
    inference(cnf_transformation,[],[f2769]) ).

cnf(c_898,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ip(X0) ),
    inference(cnf_transformation,[],[f2767]) ).

cnf(c_1088,plain,
    ( sK223(X0) != sK224(X0)
    | ~ ip(X0)
    | icext(uri_owl_FunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f2977]) ).

cnf(c_1089,plain,
    ( ~ ip(X0)
    | iext(X0,sK222(X0),sK224(X0))
    | icext(uri_owl_FunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f2976]) ).

cnf(c_1090,plain,
    ( ~ ip(X0)
    | iext(X0,sK222(X0),sK223(X0))
    | icext(uri_owl_FunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f2975]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f3211]) ).

cnf(c_1327,plain,
    iext(uri_owl_oneOf,sK251,sK252),
    inference(cnf_transformation,[],[f3216]) ).

cnf(c_1328,plain,
    iext(uri_rdf_rest,sK252,uri_rdf_nil),
    inference(cnf_transformation,[],[f3215]) ).

cnf(c_1329,plain,
    iext(uri_rdf_first,sK252,uri_ex_y),
    inference(cnf_transformation,[],[f3214]) ).

cnf(c_1331,plain,
    iext(uri_rdfs_range,uri_ex_p,sK251),
    inference(cnf_transformation,[],[f3212]) ).

cnf(c_79032,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_79034,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_100523,plain,
    ~ icext(uri_owl_FunctionalProperty,uri_ex_p),
    inference(superposition,[status(thm)],[c_74,c_1326]) ).

cnf(c_100533,plain,
    ip(uri_ex_p),
    inference(superposition,[status(thm)],[c_1331,c_898]) ).

cnf(c_101171,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X0)
    | icext(X1,sK224(X0))
    | icext(uri_owl_FunctionalProperty,X0) ),
    inference(superposition,[status(thm)],[c_1089,c_896]) ).

cnf(c_101212,plain,
    ( ~ iext(uri_ex_p,X0,X1)
    | ~ iext(uri_rdfs_range,uri_ex_p,sK251)
    | icext(sK251,X1) ),
    inference(instantiation,[status(thm)],[c_896]) ).

cnf(c_101491,plain,
    ( ~ iext(uri_ex_p,sK222(uri_ex_p),sK224(uri_ex_p))
    | ~ iext(uri_rdfs_range,uri_ex_p,sK251)
    | icext(sK251,sK224(uri_ex_p)) ),
    inference(instantiation,[status(thm)],[c_101212]) ).

cnf(c_101492,plain,
    ( ~ ip(uri_ex_p)
    | iext(uri_ex_p,sK222(uri_ex_p),sK224(uri_ex_p))
    | icext(uri_owl_FunctionalProperty,uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_1089]) ).

cnf(c_101493,plain,
    ( ~ iext(uri_ex_p,sK222(uri_ex_p),sK223(uri_ex_p))
    | ~ iext(uri_rdfs_range,uri_ex_p,sK251)
    | icext(sK251,sK223(uri_ex_p)) ),
    inference(instantiation,[status(thm)],[c_101212]) ).

cnf(c_101494,plain,
    ( ~ ip(uri_ex_p)
    | iext(uri_ex_p,sK222(uri_ex_p),sK223(uri_ex_p))
    | icext(uri_owl_FunctionalProperty,uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_1090]) ).

cnf(c_101803,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | icext(X1,sK224(X0))
    | icext(uri_owl_FunctionalProperty,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_101171,c_898,c_101171]) ).

cnf(c_107792,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X0)
    | icext(X1,sK224(X0))
    | icext(uri_owl_FunctionalProperty,X0) ),
    inference(superposition,[status(thm)],[c_1089,c_896]) ).

cnf(c_108208,plain,
    ( ~ iext(uri_rdf_first,sK252,X0)
    | ~ iext(uri_owl_oneOf,X1,sK252)
    | ~ icext(X1,X2)
    | X0 = X2 ),
    inference(superposition,[status(thm)],[c_1328,c_508]) ).

cnf(c_115653,plain,
    ( ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
    | ~ iext(uri_owl_oneOf,sK251,X0)
    | ~ icext(sK251,sK223(uri_ex_p))
    | X1 = sK223(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_508]) ).

cnf(c_120343,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | icext(X1,sK224(X0))
    | icext(uri_owl_FunctionalProperty,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_107792,c_101803]) ).

cnf(c_120358,plain,
    ( icext(sK251,sK224(uri_ex_p))
    | icext(uri_owl_FunctionalProperty,uri_ex_p) ),
    inference(superposition,[status(thm)],[c_1331,c_120343]) ).

cnf(c_120812,plain,
    icext(sK251,sK224(uri_ex_p)),
    inference(global_subsumption_just,[status(thm)],[c_120358,c_1331,c_100523,c_100533,c_101491,c_101492]) ).

cnf(c_128655,plain,
    ( ~ iext(uri_rdf_first,sK252,X0)
    | ~ iext(uri_rdf_rest,sK252,uri_rdf_nil)
    | ~ iext(uri_owl_oneOf,sK251,sK252)
    | ~ icext(sK251,sK223(uri_ex_p))
    | X0 = sK223(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_115653]) ).

cnf(c_134705,plain,
    ( ~ iext(uri_rdf_first,sK252,uri_ex_y)
    | ~ iext(uri_rdf_rest,sK252,uri_rdf_nil)
    | ~ iext(uri_owl_oneOf,sK251,sK252)
    | ~ icext(sK251,sK223(uri_ex_p))
    | uri_ex_y = sK223(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_128655]) ).

cnf(c_142273,plain,
    sK223(uri_ex_p) = sK223(uri_ex_p),
    inference(instantiation,[status(thm)],[c_79032]) ).

cnf(c_146230,plain,
    ( sK223(uri_ex_p) != X0
    | X1 != X0
    | sK223(uri_ex_p) = X1 ),
    inference(instantiation,[status(thm)],[c_79034]) ).

cnf(c_150421,plain,
    ( sK223(uri_ex_p) != sK223(uri_ex_p)
    | X0 != sK223(uri_ex_p)
    | sK223(uri_ex_p) = X0 ),
    inference(instantiation,[status(thm)],[c_146230]) ).

cnf(c_152462,plain,
    ( sK223(uri_ex_p) != sK223(uri_ex_p)
    | uri_ex_y != sK223(uri_ex_p)
    | sK223(uri_ex_p) = uri_ex_y ),
    inference(instantiation,[status(thm)],[c_150421]) ).

cnf(c_162904,plain,
    ( ~ iext(uri_owl_oneOf,X0,sK252)
    | ~ icext(X0,X1)
    | X1 = uri_ex_y ),
    inference(superposition,[status(thm)],[c_1329,c_108208]) ).

cnf(c_162905,plain,
    ( ~ icext(sK251,X0)
    | X0 = uri_ex_y ),
    inference(superposition,[status(thm)],[c_1327,c_162904]) ).

cnf(c_162908,plain,
    sK224(uri_ex_p) = uri_ex_y,
    inference(superposition,[status(thm)],[c_120812,c_162905]) ).

cnf(c_162920,plain,
    ( sK223(uri_ex_p) != uri_ex_y
    | ~ ip(uri_ex_p)
    | icext(uri_owl_FunctionalProperty,uri_ex_p) ),
    inference(superposition,[status(thm)],[c_162908,c_1088]) ).

cnf(c_162935,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_162920,c_152462,c_142273,c_134705,c_101494,c_101493,c_100533,c_100523,c_1327,c_1328,c_1329,c_1331]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB045+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 07:08:34 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 238.38/32.40  % SZS status Started for theBenchmark.p
% 238.38/32.40  % SZS status Theorem for theBenchmark.p
% 238.38/32.40  
% 238.38/32.40  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 238.38/32.40  
% 238.38/32.40  ------  iProver source info
% 238.38/32.40  
% 238.38/32.40  git: date: 2023-05-31 18:12:56 +0000
% 238.38/32.40  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 238.38/32.40  git: non_committed_changes: false
% 238.38/32.40  git: last_make_outside_of_git: false
% 238.38/32.40  
% 238.38/32.40  ------ Parsing...
% 238.38/32.40  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 238.38/32.40  
% 238.38/32.40  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 238.38/32.40  
% 238.38/32.40  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 238.38/32.40  
% 238.38/32.40  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 238.38/32.40  ------ Proving...
% 238.38/32.40  ------ Problem Properties 
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  clauses                                 1174
% 238.38/32.40  conjectures                             1
% 238.38/32.40  EPR                                     714
% 238.38/32.40  Horn                                    905
% 238.38/32.40  unary                                   230
% 238.38/32.40  binary                                  455
% 238.38/32.40  lits                                    3735
% 238.38/32.40  lits eq                                 197
% 238.38/32.40  fd_pure                                 0
% 238.38/32.40  fd_pseudo                               0
% 238.38/32.40  fd_cond                                 0
% 238.38/32.40  fd_pseudo_cond                          66
% 238.38/32.40  AC symbols                              0
% 238.38/32.40  
% 238.38/32.40  ------ Input Options Time Limit: Unbounded
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ 
% 238.38/32.40  Current options:
% 238.38/32.40  ------ 
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  ------ Proving...
% 238.38/32.40  
% 238.38/32.40  
% 238.38/32.40  % SZS status Theorem for theBenchmark.p
% 238.38/32.40  
% 238.38/32.40  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 238.38/32.40  
% 238.38/32.40  
%------------------------------------------------------------------------------