TSTP Solution File: SWB020+2 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB020+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 20:09:16 EDT 2023

% Result   : Theorem 6.62s 1.72s
% Output   : CNFRefutation 6.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  218 (  53 unt;   0 def)
%            Number of atoms       : 1001 (   0 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives : 1225 ( 442   ~; 464   |; 275   &)
%                                         (  31 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-5 aty)
%            Number of functors    :   24 (  24 usr;  20 con; 0-4 aty)
%            Number of variables   :  521 (  38 sgn; 269   !;  37   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X2,X3] :
      ( iext(uri_owl_complementOf,X2,X3)
     => ( ! [X0] :
            ( icext(X2,X0)
          <=> ~ icext(X3,X0) )
        & ic(X3)
        & ic(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f3,axiom,
    ! [X2,X4,X5,X6,X7] :
      ( ( iext(uri_rdf_rest,X6,uri_rdf_nil)
        & iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_rest,X4,X6)
        & iext(uri_rdf_first,X4,X5) )
     => ( iext(uri_owl_intersectionOf,X2,X4)
      <=> ( ! [X0] :
              ( icext(X2,X0)
            <=> ( icext(X7,X0)
                & icext(X5,X0) ) )
          & ic(X7)
          & ic(X5)
          & ic(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).

fof(f4,axiom,
    ! [X2,X4,X5,X6,X7,X8,X9] :
      ( ( iext(uri_rdf_rest,X8,uri_rdf_nil)
        & iext(uri_rdf_first,X8,X9)
        & iext(uri_rdf_rest,X6,X8)
        & iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_rest,X4,X6)
        & iext(uri_rdf_first,X4,X5) )
     => ( iext(uri_owl_unionOf,X2,X4)
      <=> ( ! [X0] :
              ( icext(X2,X0)
            <=> ( icext(X9,X0)
                | icext(X7,X0)
                | icext(X5,X0) ) )
          & ic(X9)
          & ic(X7)
          & ic(X5)
          & ic(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).

fof(f5,axiom,
    ! [X5,X7] :
      ( iext(uri_rdfs_subClassOf,X5,X7)
    <=> ( ! [X0] :
            ( icext(X5,X0)
           => icext(X7,X0) )
        & ic(X7)
        & ic(X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f6,axiom,
    ! [X5,X7] :
      ( iext(uri_owl_disjointWith,X5,X7)
    <=> ( ! [X0] :
            ~ ( icext(X7,X0)
              & icext(X5,X0) )
        & ic(X7)
        & ic(X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

fof(f7,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).

fof(f8,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(negated_conjecture,[],[f7]) ).

fof(f9,axiom,
    ? [X10,X11,X12,X13,X14,X15,X16] :
      ( iext(uri_owl_complementOf,X11,uri_ex_c2)
      & iext(uri_rdf_rest,X16,uri_rdf_nil)
      & iext(uri_rdf_first,X16,X11)
      & iext(uri_rdf_rest,X15,X16)
      & iext(uri_rdf_first,X15,uri_ex_c)
      & iext(uri_owl_intersectionOf,X10,X15)
      & iext(uri_rdfs_subClassOf,uri_ex_d,X10)
      & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
      & iext(uri_rdf_rest,X14,uri_rdf_nil)
      & iext(uri_rdf_first,X14,uri_ex_c3)
      & iext(uri_rdf_rest,X13,X14)
      & iext(uri_rdf_first,X13,uri_ex_c2)
      & iext(uri_rdf_rest,X12,X13)
      & iext(uri_rdf_first,X12,uri_ex_c1)
      & iext(uri_owl_unionOf,uri_ex_c,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).

fof(f10,plain,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f2]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X4,X5)
                & icext(X2,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
        & iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X3,X5)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X6,X7)
                | icext(X4,X7)
                | icext(X2,X7) ) )
          & ic(X6)
          & ic(X4)
          & ic(X2)
          & ic(X0) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f5]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ! [X2] :
            ~ ( icext(X1,X2)
              & icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f6]) ).

fof(f15,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(flattening,[],[f8]) ).

fof(f16,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( iext(uri_owl_complementOf,X1,uri_ex_c2)
      & iext(uri_rdf_rest,X6,uri_rdf_nil)
      & iext(uri_rdf_first,X6,X1)
      & iext(uri_rdf_rest,X5,X6)
      & iext(uri_rdf_first,X5,uri_ex_c)
      & iext(uri_owl_intersectionOf,X0,X5)
      & iext(uri_rdfs_subClassOf,uri_ex_d,X0)
      & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
      & iext(uri_rdf_rest,X4,uri_rdf_nil)
      & iext(uri_rdf_first,X4,uri_ex_c3)
      & iext(uri_rdf_rest,X3,X4)
      & iext(uri_rdf_first,X3,uri_ex_c2)
      & iext(uri_rdf_rest,X2,X3)
      & iext(uri_rdf_first,X2,uri_ex_c1)
      & iext(uri_owl_unionOf,uri_ex_c,X2) ),
    inference(rectify,[],[f9]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X4,X5)
                & icext(X2,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X4,X5)
                & icext(X2,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X6,X7)
                | icext(X4,X7)
                | icext(X2,X7) ) )
          & ic(X6)
          & ic(X4)
          & ic(X2)
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X6,X7)
                | icext(X4,X7)
                | icext(X2,X7) ) )
          & ic(X6)
          & ic(X4)
          & ic(X2)
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f25,plain,
    ! [X4,X2,X0] :
      ( sP0(X4,X2,X0)
    <=> ( ! [X5] :
            ( icext(X0,X5)
          <=> ( icext(X4,X5)
              & icext(X2,X5) ) )
        & ic(X4)
        & ic(X2)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f26,plain,
    ! [X0,X2,X4,X1] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> sP0(X4,X2,X0) )
      | ~ sP1(X0,X2,X4,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3,X4] :
      ( sP1(X0,X2,X4,X1)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(definition_folding,[],[f20,f26,f25]) ).

fof(f28,plain,
    ! [X6,X4,X2,X0] :
      ( sP2(X6,X4,X2,X0)
    <=> ( ! [X7] :
            ( icext(X0,X7)
          <=> ( icext(X6,X7)
              | icext(X4,X7)
              | icext(X2,X7) ) )
        & ic(X6)
        & ic(X4)
        & ic(X2)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f29,plain,
    ! [X0,X2,X4,X6,X1] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> sP2(X6,X4,X2,X0) )
      | ~ sP3(X0,X2,X4,X6,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( sP3(X0,X2,X4,X6,X1)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(definition_folding,[],[f22,f29,f28]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X1,X2)
              | ~ icext(X0,X2) ) )
        & ic(X1)
        & ic(X0) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f32,plain,
    ! [X0,X2,X4,X1] :
      ( ( ( iext(uri_owl_intersectionOf,X0,X1)
          | ~ sP0(X4,X2,X0) )
        & ( sP0(X4,X2,X0)
          | ~ iext(uri_owl_intersectionOf,X0,X1) ) )
      | ~ sP1(X0,X2,X4,X1) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( iext(uri_owl_intersectionOf,X0,X3)
          | ~ sP0(X2,X1,X0) )
        & ( sP0(X2,X1,X0)
          | ~ iext(uri_owl_intersectionOf,X0,X3) ) )
      | ~ sP1(X0,X1,X2,X3) ),
    inference(rectify,[],[f32]) ).

fof(f34,plain,
    ! [X4,X2,X0] :
      ( ( sP0(X4,X2,X0)
        | ? [X5] :
            ( ( ~ icext(X4,X5)
              | ~ icext(X2,X5)
              | ~ icext(X0,X5) )
            & ( ( icext(X4,X5)
                & icext(X2,X5) )
              | icext(X0,X5) ) )
        | ~ ic(X4)
        | ~ ic(X2)
        | ~ ic(X0) )
      & ( ( ! [X5] :
              ( ( icext(X0,X5)
                | ~ icext(X4,X5)
                | ~ icext(X2,X5) )
              & ( ( icext(X4,X5)
                  & icext(X2,X5) )
                | ~ icext(X0,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) )
        | ~ sP0(X4,X2,X0) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f35,plain,
    ! [X4,X2,X0] :
      ( ( sP0(X4,X2,X0)
        | ? [X5] :
            ( ( ~ icext(X4,X5)
              | ~ icext(X2,X5)
              | ~ icext(X0,X5) )
            & ( ( icext(X4,X5)
                & icext(X2,X5) )
              | icext(X0,X5) ) )
        | ~ ic(X4)
        | ~ ic(X2)
        | ~ ic(X0) )
      & ( ( ! [X5] :
              ( ( icext(X0,X5)
                | ~ icext(X4,X5)
                | ~ icext(X2,X5) )
              & ( ( icext(X4,X5)
                  & icext(X2,X5) )
                | ~ icext(X0,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) )
        | ~ sP0(X4,X2,X0) ) ),
    inference(flattening,[],[f34]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ? [X3] :
            ( ( ~ icext(X0,X3)
              | ~ icext(X1,X3)
              | ~ icext(X2,X3) )
            & ( ( icext(X0,X3)
                & icext(X1,X3) )
              | icext(X2,X3) ) )
        | ~ ic(X0)
        | ~ ic(X1)
        | ~ ic(X2) )
      & ( ( ! [X4] :
              ( ( icext(X2,X4)
                | ~ icext(X0,X4)
                | ~ icext(X1,X4) )
              & ( ( icext(X0,X4)
                  & icext(X1,X4) )
                | ~ icext(X2,X4) ) )
          & ic(X0)
          & ic(X1)
          & ic(X2) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f35]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ icext(X0,X3)
            | ~ icext(X1,X3)
            | ~ icext(X2,X3) )
          & ( ( icext(X0,X3)
              & icext(X1,X3) )
            | icext(X2,X3) ) )
     => ( ( ~ icext(X0,sK4(X0,X1,X2))
          | ~ icext(X1,sK4(X0,X1,X2))
          | ~ icext(X2,sK4(X0,X1,X2)) )
        & ( ( icext(X0,sK4(X0,X1,X2))
            & icext(X1,sK4(X0,X1,X2)) )
          | icext(X2,sK4(X0,X1,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( ~ icext(X0,sK4(X0,X1,X2))
            | ~ icext(X1,sK4(X0,X1,X2))
            | ~ icext(X2,sK4(X0,X1,X2)) )
          & ( ( icext(X0,sK4(X0,X1,X2))
              & icext(X1,sK4(X0,X1,X2)) )
            | icext(X2,sK4(X0,X1,X2)) ) )
        | ~ ic(X0)
        | ~ ic(X1)
        | ~ ic(X2) )
      & ( ( ! [X4] :
              ( ( icext(X2,X4)
                | ~ icext(X0,X4)
                | ~ icext(X1,X4) )
              & ( ( icext(X0,X4)
                  & icext(X1,X4) )
                | ~ icext(X2,X4) ) )
          & ic(X0)
          & ic(X1)
          & ic(X2) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f36,f37]) ).

fof(f39,plain,
    ! [X0,X2,X4,X6,X1] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ sP2(X6,X4,X2,X0) )
        & ( sP2(X6,X4,X2,X0)
          | ~ iext(uri_owl_unionOf,X0,X1) ) )
      | ~ sP3(X0,X2,X4,X6,X1) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f40,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_unionOf,X0,X4)
          | ~ sP2(X3,X2,X1,X0) )
        & ( sP2(X3,X2,X1,X0)
          | ~ iext(uri_owl_unionOf,X0,X4) ) )
      | ~ sP3(X0,X1,X2,X3,X4) ),
    inference(rectify,[],[f39]) ).

fof(f41,plain,
    ! [X6,X4,X2,X0] :
      ( ( sP2(X6,X4,X2,X0)
        | ? [X7] :
            ( ( ( ~ icext(X6,X7)
                & ~ icext(X4,X7)
                & ~ icext(X2,X7) )
              | ~ icext(X0,X7) )
            & ( icext(X6,X7)
              | icext(X4,X7)
              | icext(X2,X7)
              | icext(X0,X7) ) )
        | ~ ic(X6)
        | ~ ic(X4)
        | ~ ic(X2)
        | ~ ic(X0) )
      & ( ( ! [X7] :
              ( ( icext(X0,X7)
                | ( ~ icext(X6,X7)
                  & ~ icext(X4,X7)
                  & ~ icext(X2,X7) ) )
              & ( icext(X6,X7)
                | icext(X4,X7)
                | icext(X2,X7)
                | ~ icext(X0,X7) ) )
          & ic(X6)
          & ic(X4)
          & ic(X2)
          & ic(X0) )
        | ~ sP2(X6,X4,X2,X0) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f42,plain,
    ! [X6,X4,X2,X0] :
      ( ( sP2(X6,X4,X2,X0)
        | ? [X7] :
            ( ( ( ~ icext(X6,X7)
                & ~ icext(X4,X7)
                & ~ icext(X2,X7) )
              | ~ icext(X0,X7) )
            & ( icext(X6,X7)
              | icext(X4,X7)
              | icext(X2,X7)
              | icext(X0,X7) ) )
        | ~ ic(X6)
        | ~ ic(X4)
        | ~ ic(X2)
        | ~ ic(X0) )
      & ( ( ! [X7] :
              ( ( icext(X0,X7)
                | ( ~ icext(X6,X7)
                  & ~ icext(X4,X7)
                  & ~ icext(X2,X7) ) )
              & ( icext(X6,X7)
                | icext(X4,X7)
                | icext(X2,X7)
                | ~ icext(X0,X7) ) )
          & ic(X6)
          & ic(X4)
          & ic(X2)
          & ic(X0) )
        | ~ sP2(X6,X4,X2,X0) ) ),
    inference(flattening,[],[f41]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3] :
      ( ( sP2(X0,X1,X2,X3)
        | ? [X4] :
            ( ( ( ~ icext(X0,X4)
                & ~ icext(X1,X4)
                & ~ icext(X2,X4) )
              | ~ icext(X3,X4) )
            & ( icext(X0,X4)
              | icext(X1,X4)
              | icext(X2,X4)
              | icext(X3,X4) ) )
        | ~ ic(X0)
        | ~ ic(X1)
        | ~ ic(X2)
        | ~ ic(X3) )
      & ( ( ! [X5] :
              ( ( icext(X3,X5)
                | ( ~ icext(X0,X5)
                  & ~ icext(X1,X5)
                  & ~ icext(X2,X5) ) )
              & ( icext(X0,X5)
                | icext(X1,X5)
                | icext(X2,X5)
                | ~ icext(X3,X5) ) )
          & ic(X0)
          & ic(X1)
          & ic(X2)
          & ic(X3) )
        | ~ sP2(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f42]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ( ( ~ icext(X0,X4)
              & ~ icext(X1,X4)
              & ~ icext(X2,X4) )
            | ~ icext(X3,X4) )
          & ( icext(X0,X4)
            | icext(X1,X4)
            | icext(X2,X4)
            | icext(X3,X4) ) )
     => ( ( ( ~ icext(X0,sK5(X0,X1,X2,X3))
            & ~ icext(X1,sK5(X0,X1,X2,X3))
            & ~ icext(X2,sK5(X0,X1,X2,X3)) )
          | ~ icext(X3,sK5(X0,X1,X2,X3)) )
        & ( icext(X0,sK5(X0,X1,X2,X3))
          | icext(X1,sK5(X0,X1,X2,X3))
          | icext(X2,sK5(X0,X1,X2,X3))
          | icext(X3,sK5(X0,X1,X2,X3)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3] :
      ( ( sP2(X0,X1,X2,X3)
        | ( ( ( ~ icext(X0,sK5(X0,X1,X2,X3))
              & ~ icext(X1,sK5(X0,X1,X2,X3))
              & ~ icext(X2,sK5(X0,X1,X2,X3)) )
            | ~ icext(X3,sK5(X0,X1,X2,X3)) )
          & ( icext(X0,sK5(X0,X1,X2,X3))
            | icext(X1,sK5(X0,X1,X2,X3))
            | icext(X2,sK5(X0,X1,X2,X3))
            | icext(X3,sK5(X0,X1,X2,X3)) ) )
        | ~ ic(X0)
        | ~ ic(X1)
        | ~ ic(X2)
        | ~ ic(X3) )
      & ( ( ! [X5] :
              ( ( icext(X3,X5)
                | ( ~ icext(X0,X5)
                  & ~ icext(X1,X5)
                  & ~ icext(X2,X5) ) )
              & ( icext(X0,X5)
                | icext(X1,X5)
                | icext(X2,X5)
                | ~ icext(X3,X5) ) )
          & ic(X0)
          & ic(X1)
          & ic(X2)
          & ic(X3) )
        | ~ sP2(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f43,f44]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f46]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f47]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X1,X2)
          & icext(X0,X2) )
     => ( ~ icext(X1,sK6(X0,X1))
        & icext(X0,sK6(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ( ~ icext(X1,sK6(X0,X1))
          & icext(X0,sK6(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f48,f49]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ? [X2] :
            ( icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ? [X2] :
            ( icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(flattening,[],[f51]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ? [X2] :
            ( icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( ~ icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(rectify,[],[f52]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( icext(X1,X2)
          & icext(X0,X2) )
     => ( icext(X1,sK7(X0,X1))
        & icext(X0,sK7(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ( icext(X1,sK7(X0,X1))
          & icext(X0,sK7(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( ~ icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f53,f54]) ).

fof(f56,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6] :
        ( iext(uri_owl_complementOf,X1,uri_ex_c2)
        & iext(uri_rdf_rest,X6,uri_rdf_nil)
        & iext(uri_rdf_first,X6,X1)
        & iext(uri_rdf_rest,X5,X6)
        & iext(uri_rdf_first,X5,uri_ex_c)
        & iext(uri_owl_intersectionOf,X0,X5)
        & iext(uri_rdfs_subClassOf,uri_ex_d,X0)
        & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
        & iext(uri_rdf_rest,X4,uri_rdf_nil)
        & iext(uri_rdf_first,X4,uri_ex_c3)
        & iext(uri_rdf_rest,X3,X4)
        & iext(uri_rdf_first,X3,uri_ex_c2)
        & iext(uri_rdf_rest,X2,X3)
        & iext(uri_rdf_first,X2,uri_ex_c1)
        & iext(uri_owl_unionOf,uri_ex_c,X2) )
   => ( iext(uri_owl_complementOf,sK9,uri_ex_c2)
      & iext(uri_rdf_rest,sK14,uri_rdf_nil)
      & iext(uri_rdf_first,sK14,sK9)
      & iext(uri_rdf_rest,sK13,sK14)
      & iext(uri_rdf_first,sK13,uri_ex_c)
      & iext(uri_owl_intersectionOf,sK8,sK13)
      & iext(uri_rdfs_subClassOf,uri_ex_d,sK8)
      & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
      & iext(uri_rdf_rest,sK12,uri_rdf_nil)
      & iext(uri_rdf_first,sK12,uri_ex_c3)
      & iext(uri_rdf_rest,sK11,sK12)
      & iext(uri_rdf_first,sK11,uri_ex_c2)
      & iext(uri_rdf_rest,sK10,sK11)
      & iext(uri_rdf_first,sK10,uri_ex_c1)
      & iext(uri_owl_unionOf,uri_ex_c,sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ( iext(uri_owl_complementOf,sK9,uri_ex_c2)
    & iext(uri_rdf_rest,sK14,uri_rdf_nil)
    & iext(uri_rdf_first,sK14,sK9)
    & iext(uri_rdf_rest,sK13,sK14)
    & iext(uri_rdf_first,sK13,uri_ex_c)
    & iext(uri_owl_intersectionOf,sK8,sK13)
    & iext(uri_rdfs_subClassOf,uri_ex_d,sK8)
    & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
    & iext(uri_rdf_rest,sK12,uri_rdf_nil)
    & iext(uri_rdf_first,sK12,uri_ex_c3)
    & iext(uri_rdf_rest,sK11,sK12)
    & iext(uri_rdf_first,sK11,uri_ex_c2)
    & iext(uri_rdf_rest,sK10,sK11)
    & iext(uri_rdf_first,sK10,uri_ex_c1)
    & iext(uri_owl_unionOf,uri_ex_c,sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f16,f56]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ic(X0)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ic(X1)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1] :
      ( sP0(X2,X1,X0)
      | ~ iext(uri_owl_intersectionOf,X0,X3)
      | ~ sP1(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( ic(X1)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f69,plain,
    ! [X2,X0,X1,X4] :
      ( icext(X1,X4)
      | ~ icext(X2,X4)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f70,plain,
    ! [X2,X0,X1,X4] :
      ( icext(X0,X4)
      | ~ icext(X2,X4)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1,X4] :
      ( sP1(X0,X2,X4,X1)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f76,plain,
    ! [X2,X3,X0,X1,X4] :
      ( sP2(X3,X2,X1,X0)
      | ~ iext(uri_owl_unionOf,X0,X4)
      | ~ sP3(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1] :
      ( ic(X0)
      | ~ sP2(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f82,plain,
    ! [X2,X3,X0,X1,X5] :
      ( icext(X0,X5)
      | icext(X1,X5)
      | icext(X2,X5)
      | ~ icext(X3,X5)
      | ~ sP2(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( sP3(X0,X2,X4,X6,X1)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f93,plain,
    ! [X3,X0,X1] :
      ( icext(X1,X3)
      | ~ icext(X0,X3)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X0,sK6(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X1,sK6(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ic(X0)
      | ~ iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f98,plain,
    ! [X3,X0,X1] :
      ( ~ icext(X1,X3)
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
      | icext(X0,sK7(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
      | icext(X1,sK7(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f101,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(cnf_transformation,[],[f15]) ).

fof(f102,plain,
    iext(uri_owl_unionOf,uri_ex_c,sK10),
    inference(cnf_transformation,[],[f57]) ).

fof(f103,plain,
    iext(uri_rdf_first,sK10,uri_ex_c1),
    inference(cnf_transformation,[],[f57]) ).

fof(f104,plain,
    iext(uri_rdf_rest,sK10,sK11),
    inference(cnf_transformation,[],[f57]) ).

fof(f105,plain,
    iext(uri_rdf_first,sK11,uri_ex_c2),
    inference(cnf_transformation,[],[f57]) ).

fof(f106,plain,
    iext(uri_rdf_rest,sK11,sK12),
    inference(cnf_transformation,[],[f57]) ).

fof(f107,plain,
    iext(uri_rdf_first,sK12,uri_ex_c3),
    inference(cnf_transformation,[],[f57]) ).

fof(f108,plain,
    iext(uri_rdf_rest,sK12,uri_rdf_nil),
    inference(cnf_transformation,[],[f57]) ).

fof(f109,plain,
    iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
    inference(cnf_transformation,[],[f57]) ).

fof(f110,plain,
    iext(uri_rdfs_subClassOf,uri_ex_d,sK8),
    inference(cnf_transformation,[],[f57]) ).

fof(f111,plain,
    iext(uri_owl_intersectionOf,sK8,sK13),
    inference(cnf_transformation,[],[f57]) ).

fof(f112,plain,
    iext(uri_rdf_first,sK13,uri_ex_c),
    inference(cnf_transformation,[],[f57]) ).

fof(f113,plain,
    iext(uri_rdf_rest,sK13,sK14),
    inference(cnf_transformation,[],[f57]) ).

fof(f114,plain,
    iext(uri_rdf_first,sK14,sK9),
    inference(cnf_transformation,[],[f57]) ).

fof(f115,plain,
    iext(uri_rdf_rest,sK14,uri_rdf_nil),
    inference(cnf_transformation,[],[f57]) ).

fof(f116,plain,
    iext(uri_owl_complementOf,sK9,uri_ex_c2),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_52,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | ~ icext(X0,X2)
    | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_53,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | ic(X1) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_54,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | ic(X0) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_56,plain,
    ( ~ sP1(X0,X1,X2,X3)
    | ~ iext(uri_owl_intersectionOf,X0,X3)
    | sP0(X2,X1,X0) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_61,plain,
    ( ~ sP0(X0,X1,X2)
    | ~ icext(X2,X3)
    | icext(X0,X3) ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_62,plain,
    ( ~ sP0(X0,X1,X2)
    | ~ icext(X2,X3)
    | icext(X1,X3) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_64,plain,
    ( ~ sP0(X0,X1,X2)
    | ic(X1) ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_66,plain,
    ( ~ iext(uri_rdf_rest,X0,X1)
    | ~ iext(uri_rdf_first,X0,X2)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | sP1(X4,X2,X3,X0) ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_68,plain,
    ( ~ sP3(X0,X1,X2,X3,X4)
    | ~ iext(uri_owl_unionOf,X0,X4)
    | sP2(X3,X2,X1,X0) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_76,plain,
    ( ~ sP2(X0,X1,X2,X3)
    | ~ icext(X3,X4)
    | icext(X0,X4)
    | icext(X1,X4)
    | icext(X2,X4) ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_77,plain,
    ( ~ sP2(X0,X1,X2,X3)
    | ic(X0) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_81,plain,
    ( ~ iext(uri_rdf_rest,X0,X1)
    | ~ iext(uri_rdf_rest,X1,X2)
    | ~ iext(uri_rdf_first,X0,X3)
    | ~ iext(uri_rdf_first,X1,X4)
    | ~ iext(uri_rdf_first,X2,X5)
    | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
    | sP3(X6,X3,X4,X5,X0) ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_82,plain,
    ( ~ icext(X0,sK6(X1,X0))
    | ~ ic(X0)
    | ~ ic(X1)
    | iext(uri_rdfs_subClassOf,X1,X0) ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_83,plain,
    ( ~ ic(X0)
    | ~ ic(X1)
    | icext(X1,sK6(X1,X0))
    | iext(uri_rdfs_subClassOf,X1,X0) ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_84,plain,
    ( ~ iext(uri_rdfs_subClassOf,X0,X1)
    | ~ icext(X0,X2)
    | icext(X1,X2) ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_87,plain,
    ( ~ ic(X0)
    | ~ ic(X1)
    | icext(X0,sK7(X1,X0))
    | iext(uri_owl_disjointWith,X1,X0) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_88,plain,
    ( ~ ic(X0)
    | ~ ic(X1)
    | icext(X1,sK7(X1,X0))
    | iext(uri_owl_disjointWith,X1,X0) ),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_89,plain,
    ( ~ iext(uri_owl_disjointWith,X0,X1)
    | ~ icext(X0,X2)
    | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_91,plain,
    ( ~ iext(uri_owl_disjointWith,X0,X1)
    | ic(X0) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_92,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_93,plain,
    iext(uri_owl_complementOf,sK9,uri_ex_c2),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_94,plain,
    iext(uri_rdf_rest,sK14,uri_rdf_nil),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_95,plain,
    iext(uri_rdf_first,sK14,sK9),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_96,plain,
    iext(uri_rdf_rest,sK13,sK14),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_97,plain,
    iext(uri_rdf_first,sK13,uri_ex_c),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_98,plain,
    iext(uri_owl_intersectionOf,sK8,sK13),
    inference(cnf_transformation,[],[f111]) ).

cnf(c_99,plain,
    iext(uri_rdfs_subClassOf,uri_ex_d,sK8),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_100,plain,
    iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_101,plain,
    iext(uri_rdf_rest,sK12,uri_rdf_nil),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_102,plain,
    iext(uri_rdf_first,sK12,uri_ex_c3),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_103,plain,
    iext(uri_rdf_rest,sK11,sK12),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_104,plain,
    iext(uri_rdf_first,sK11,uri_ex_c2),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_105,plain,
    iext(uri_rdf_rest,sK10,sK11),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_106,plain,
    iext(uri_rdf_first,sK10,uri_ex_c1),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_107,plain,
    iext(uri_owl_unionOf,uri_ex_c,sK10),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_3793,plain,
    iext(uri_owl_unionOf,uri_ex_c,sK10),
    inference(subtyping,[status(esa)],[c_107]) ).

cnf(c_3794,plain,
    iext(uri_rdf_first,sK10,uri_ex_c1),
    inference(subtyping,[status(esa)],[c_106]) ).

cnf(c_3796,plain,
    iext(uri_rdf_first,sK11,uri_ex_c2),
    inference(subtyping,[status(esa)],[c_104]) ).

cnf(c_3798,plain,
    iext(uri_rdf_first,sK12,uri_ex_c3),
    inference(subtyping,[status(esa)],[c_102]) ).

cnf(c_3800,plain,
    iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
    inference(subtyping,[status(esa)],[c_100]) ).

cnf(c_3801,plain,
    iext(uri_rdfs_subClassOf,uri_ex_d,sK8),
    inference(subtyping,[status(esa)],[c_99]) ).

cnf(c_3802,plain,
    iext(uri_owl_intersectionOf,sK8,sK13),
    inference(subtyping,[status(esa)],[c_98]) ).

cnf(c_3803,plain,
    iext(uri_rdf_first,sK13,uri_ex_c),
    inference(subtyping,[status(esa)],[c_97]) ).

cnf(c_3804,plain,
    iext(uri_rdf_rest,sK13,sK14),
    inference(subtyping,[status(esa)],[c_96]) ).

cnf(c_3805,plain,
    iext(uri_rdf_first,sK14,sK9),
    inference(subtyping,[status(esa)],[c_95]) ).

cnf(c_3807,plain,
    iext(uri_owl_complementOf,sK9,uri_ex_c2),
    inference(subtyping,[status(esa)],[c_93]) ).

cnf(c_3809,plain,
    ( ~ iext(uri_owl_disjointWith,X0_14,X1_14)
    | ~ icext(X0_14,X0_15)
    | ~ icext(X1_14,X0_15) ),
    inference(subtyping,[status(esa)],[c_89]) ).

cnf(c_3810,plain,
    ( ~ ic(X0_14)
    | ~ ic(X1_14)
    | icext(X0_14,sK7(X0_14,X1_14))
    | iext(uri_owl_disjointWith,X0_14,X1_14) ),
    inference(subtyping,[status(esa)],[c_88]) ).

cnf(c_3811,plain,
    ( ~ ic(X0_14)
    | ~ ic(X1_14)
    | icext(X1_14,sK7(X0_14,X1_14))
    | iext(uri_owl_disjointWith,X0_14,X1_14) ),
    inference(subtyping,[status(esa)],[c_87]) ).

cnf(c_3814,plain,
    ( ~ iext(uri_rdfs_subClassOf,X0_14,X1_14)
    | ~ icext(X0_14,X0_15)
    | icext(X1_14,X0_15) ),
    inference(subtyping,[status(esa)],[c_84]) ).

cnf(c_3815,plain,
    ( ~ ic(X0_14)
    | ~ ic(X1_14)
    | icext(X0_14,sK6(X0_14,X1_14))
    | iext(uri_rdfs_subClassOf,X0_14,X1_14) ),
    inference(subtyping,[status(esa)],[c_83]) ).

cnf(c_3816,plain,
    ( ~ icext(X0_14,sK6(X1_14,X0_14))
    | ~ ic(X0_14)
    | ~ ic(X1_14)
    | iext(uri_rdfs_subClassOf,X1_14,X0_14) ),
    inference(subtyping,[status(esa)],[c_82]) ).

cnf(c_3817,plain,
    ( ~ iext(uri_rdf_rest,X0_14,X1_14)
    | ~ iext(uri_rdf_rest,X1_14,X2_14)
    | ~ iext(uri_rdf_first,X0_14,X3_14)
    | ~ iext(uri_rdf_first,X1_14,X4_14)
    | ~ iext(uri_rdf_first,X2_14,X5_14)
    | ~ iext(uri_rdf_rest,X2_14,uri_rdf_nil)
    | sP3(X6_14,X3_14,X4_14,X5_14,X0_14) ),
    inference(subtyping,[status(esa)],[c_81]) ).

cnf(c_3821,plain,
    ( ~ sP2(X0_14,X1_14,X2_14,X3_14)
    | ic(X0_14) ),
    inference(subtyping,[status(esa)],[c_77]) ).

cnf(c_3822,plain,
    ( ~ sP2(X0_14,X1_14,X2_14,X3_14)
    | ~ icext(X3_14,X0_15)
    | icext(X0_14,X0_15)
    | icext(X1_14,X0_15)
    | icext(X2_14,X0_15) ),
    inference(subtyping,[status(esa)],[c_76]) ).

cnf(c_3830,plain,
    ( ~ sP3(X0_14,X1_14,X2_14,X3_14,X4_14)
    | ~ iext(uri_owl_unionOf,X0_14,X4_14)
    | sP2(X3_14,X2_14,X1_14,X0_14) ),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_3832,plain,
    ( ~ iext(uri_rdf_rest,X0_14,X1_14)
    | ~ iext(uri_rdf_first,X0_14,X2_14)
    | ~ iext(uri_rdf_first,X1_14,X3_14)
    | ~ iext(uri_rdf_rest,X1_14,uri_rdf_nil)
    | sP1(X4_14,X2_14,X3_14,X0_14) ),
    inference(subtyping,[status(esa)],[c_66]) ).

cnf(c_3834,plain,
    ( ~ sP0(X0_14,X1_14,X2_14)
    | ic(X1_14) ),
    inference(subtyping,[status(esa)],[c_64]) ).

cnf(c_3836,plain,
    ( ~ sP0(X0_14,X1_14,X2_14)
    | ~ icext(X2_14,X0_15)
    | icext(X1_14,X0_15) ),
    inference(subtyping,[status(esa)],[c_62]) ).

cnf(c_3837,plain,
    ( ~ sP0(X0_14,X1_14,X2_14)
    | ~ icext(X2_14,X0_15)
    | icext(X0_14,X0_15) ),
    inference(subtyping,[status(esa)],[c_61]) ).

cnf(c_3842,plain,
    ( ~ sP1(X0_14,X1_14,X2_14,X3_14)
    | ~ iext(uri_owl_intersectionOf,X0_14,X3_14)
    | sP0(X2_14,X1_14,X0_14) ),
    inference(subtyping,[status(esa)],[c_56]) ).

cnf(c_3844,plain,
    ( ~ iext(uri_owl_complementOf,X0_14,X1_14)
    | ic(X0_14) ),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_3845,plain,
    ( ~ iext(uri_owl_complementOf,X0_14,X1_14)
    | ic(X1_14) ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_3846,plain,
    ( ~ iext(uri_owl_complementOf,X0_14,X1_14)
    | ~ icext(X0_14,X0_15)
    | ~ icext(X1_14,X0_15) ),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_3848,plain,
    ( ~ iext(uri_owl_disjointWith,X0_14,X1_14)
    | ic(X0_14) ),
    inference(subtyping,[status(esa)],[c_91]) ).

cnf(c_3875,plain,
    ( ~ iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
    | ic(uri_ex_d) ),
    inference(instantiation,[status(thm)],[c_3848]) ).

cnf(c_3882,plain,
    ( ~ iext(uri_owl_complementOf,sK9,uri_ex_c2)
    | ic(uri_ex_c2) ),
    inference(instantiation,[status(thm)],[c_3845]) ).

cnf(c_3883,plain,
    ( ~ iext(uri_owl_complementOf,sK9,uri_ex_c2)
    | ic(sK9) ),
    inference(instantiation,[status(thm)],[c_3844]) ).

cnf(c_4168,plain,
    ( ~ icext(uri_ex_d,X0_15)
    | icext(sK8,X0_15) ),
    inference(superposition,[status(thm)],[c_3801,c_3814]) ).

cnf(c_4184,plain,
    ( ~ icext(sK9,X0_15)
    | ~ icext(uri_ex_c2,X0_15) ),
    inference(superposition,[status(thm)],[c_3807,c_3846]) ).

cnf(c_4188,plain,
    ( ~ icext(uri_ex_c2,sK7(sK9,X0_14))
    | ~ ic(X0_14)
    | ~ ic(sK9)
    | iext(uri_owl_disjointWith,sK9,X0_14) ),
    inference(superposition,[status(thm)],[c_3810,c_4184]) ).

cnf(c_4190,plain,
    ( ~ ic(X0_14)
    | ~ ic(uri_ex_d)
    | icext(sK8,sK7(uri_ex_d,X0_14))
    | iext(uri_owl_disjointWith,uri_ex_d,X0_14) ),
    inference(superposition,[status(thm)],[c_3810,c_4168]) ).

cnf(c_4222,plain,
    ( ~ ic(X0_14)
    | ~ ic(uri_ex_d)
    | icext(sK8,sK6(uri_ex_d,X0_14))
    | iext(uri_rdfs_subClassOf,uri_ex_d,X0_14) ),
    inference(superposition,[status(thm)],[c_3815,c_4168]) ).

cnf(c_4236,plain,
    ( ~ ic(X0_14)
    | icext(sK8,sK7(uri_ex_d,X0_14))
    | iext(uri_owl_disjointWith,uri_ex_d,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_4190,c_100,c_3875,c_4190]) ).

cnf(c_4290,plain,
    ( ~ ic(X0_14)
    | ~ icext(uri_ex_c2,sK7(sK9,X0_14))
    | iext(uri_owl_disjointWith,sK9,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_4188,c_93,c_3883,c_4188]) ).

cnf(c_4291,plain,
    ( ~ icext(uri_ex_c2,sK7(sK9,X0_14))
    | ~ ic(X0_14)
    | iext(uri_owl_disjointWith,sK9,X0_14) ),
    inference(renaming,[status(thm)],[c_4290]) ).

cnf(c_4293,plain,
    ( ~ ic(sK9)
    | ~ ic(uri_ex_c2)
    | iext(uri_owl_disjointWith,sK9,uri_ex_c2) ),
    inference(superposition,[status(thm)],[c_3811,c_4291]) ).

cnf(c_4373,plain,
    ( ~ iext(uri_rdf_first,sK14,X0_14)
    | ~ iext(uri_rdf_first,sK13,X1_14)
    | ~ iext(uri_rdf_rest,sK14,uri_rdf_nil)
    | sP1(X2_14,X1_14,X0_14,sK13) ),
    inference(superposition,[status(thm)],[c_3804,c_3832]) ).

cnf(c_4783,plain,
    ( ~ icext(uri_ex_d,X0_15)
    | ~ icext(uri_ex_c1,X0_15) ),
    inference(resolution,[status(thm)],[c_3809,c_3800]) ).

cnf(c_5116,plain,
    ( ~ iext(uri_rdf_first,X0_14,X1_14)
    | ~ iext(uri_rdf_rest,X0_14,sK14)
    | ~ iext(uri_rdf_rest,sK14,uri_rdf_nil)
    | sP1(X2_14,X1_14,sK9,X0_14) ),
    inference(resolution,[status(thm)],[c_3832,c_3805]) ).

cnf(c_5176,plain,
    ( ~ iext(uri_rdf_rest,X0_14,sK14)
    | ~ iext(uri_rdf_first,X0_14,X1_14)
    | sP1(X2_14,X1_14,sK9,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_5116,c_94,c_5116]) ).

cnf(c_5177,plain,
    ( ~ iext(uri_rdf_first,X0_14,X1_14)
    | ~ iext(uri_rdf_rest,X0_14,sK14)
    | sP1(X2_14,X1_14,sK9,X0_14) ),
    inference(renaming,[status(thm)],[c_5176]) ).

cnf(c_5203,plain,
    ( ~ iext(uri_owl_intersectionOf,X0_14,X1_14)
    | ~ iext(uri_rdf_first,X1_14,X2_14)
    | ~ iext(uri_rdf_rest,X1_14,sK14)
    | sP0(sK9,X2_14,X0_14) ),
    inference(resolution,[status(thm)],[c_3842,c_5177]) ).

cnf(c_5252,plain,
    ( ~ iext(uri_owl_intersectionOf,X0_14,sK13)
    | ~ iext(uri_rdf_rest,sK13,sK14)
    | sP0(sK9,uri_ex_c,X0_14) ),
    inference(resolution,[status(thm)],[c_5203,c_3803]) ).

cnf(c_5321,plain,
    ( ~ iext(uri_owl_intersectionOf,X0_14,sK13)
    | sP0(sK9,uri_ex_c,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_5252,c_96,c_5252]) ).

cnf(c_5402,plain,
    ( ~ iext(uri_owl_intersectionOf,X0_14,sK13)
    | ic(uri_ex_c) ),
    inference(resolution,[status(thm)],[c_3834,c_5321]) ).

cnf(c_6488,plain,
    ic(uri_ex_c),
    inference(resolution,[status(thm)],[c_5402,c_3802]) ).

cnf(c_7405,plain,
    iext(uri_owl_disjointWith,sK9,uri_ex_c2),
    inference(global_subsumption_just,[status(thm)],[c_4293,c_93,c_3883,c_3882,c_4293]) ).

cnf(c_7422,plain,
    ( ~ icext(sK9,X0_15)
    | ~ icext(uri_ex_c2,X0_15) ),
    inference(superposition,[status(thm)],[c_7405,c_3809]) ).

cnf(c_7445,plain,
    ( ~ ic(X0_14)
    | icext(sK8,sK6(uri_ex_d,X0_14))
    | iext(uri_rdfs_subClassOf,uri_ex_d,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_4222,c_100,c_3875,c_4222]) ).

cnf(c_7618,plain,
    ( ~ iext(uri_rdf_first,sK13,X1_14)
    | ~ iext(uri_rdf_first,sK14,X0_14)
    | sP1(X2_14,X1_14,X0_14,sK13) ),
    inference(global_subsumption_just,[status(thm)],[c_4373,c_94,c_4373]) ).

cnf(c_7619,plain,
    ( ~ iext(uri_rdf_first,sK14,X0_14)
    | ~ iext(uri_rdf_first,sK13,X1_14)
    | sP1(X2_14,X1_14,X0_14,sK13) ),
    inference(renaming,[status(thm)],[c_7618]) ).

cnf(c_7621,plain,
    ( ~ iext(uri_owl_intersectionOf,X0_14,sK13)
    | ~ iext(uri_rdf_first,sK14,X1_14)
    | ~ iext(uri_rdf_first,sK13,X2_14)
    | sP0(X1_14,X2_14,X0_14) ),
    inference(superposition,[status(thm)],[c_7619,c_3842]) ).

cnf(c_7665,plain,
    ( ~ iext(uri_owl_intersectionOf,X0_14,sK13)
    | ~ iext(uri_rdf_first,sK13,X1_14)
    | sP0(sK9,X1_14,X0_14) ),
    inference(superposition,[status(thm)],[c_3805,c_7621]) ).

cnf(c_7667,plain,
    ( ~ iext(uri_owl_intersectionOf,X0_14,sK13)
    | sP0(sK9,uri_ex_c,X0_14) ),
    inference(superposition,[status(thm)],[c_3803,c_7665]) ).

cnf(c_7668,plain,
    sP0(sK9,uri_ex_c,sK8),
    inference(superposition,[status(thm)],[c_3802,c_7667]) ).

cnf(c_7701,plain,
    ( ~ icext(sK8,X0_15)
    | icext(sK9,X0_15) ),
    inference(superposition,[status(thm)],[c_7668,c_3837]) ).

cnf(c_7702,plain,
    ( ~ icext(sK8,X0_15)
    | icext(uri_ex_c,X0_15) ),
    inference(superposition,[status(thm)],[c_7668,c_3836]) ).

cnf(c_7717,plain,
    ( ~ ic(X0_14)
    | icext(sK9,sK7(uri_ex_d,X0_14))
    | iext(uri_owl_disjointWith,uri_ex_d,X0_14) ),
    inference(superposition,[status(thm)],[c_4236,c_7701]) ).

cnf(c_7870,plain,
    ( ~ iext(uri_rdf_rest,X0_14,X1_14)
    | ~ iext(uri_rdf_first,X0_14,X2_14)
    | ~ iext(uri_rdf_first,X1_14,X3_14)
    | ~ iext(uri_rdf_rest,X1_14,sK12)
    | ~ iext(uri_rdf_rest,sK12,uri_rdf_nil)
    | sP3(X4_14,X2_14,X3_14,uri_ex_c3,X0_14) ),
    inference(resolution,[status(thm)],[c_3817,c_3798]) ).

cnf(c_8013,plain,
    ( ~ ic(X0_14)
    | icext(uri_ex_c,sK6(uri_ex_d,X0_14))
    | iext(uri_rdfs_subClassOf,uri_ex_d,X0_14) ),
    inference(superposition,[status(thm)],[c_7445,c_7702]) ).

cnf(c_9177,plain,
    ( ~ icext(uri_ex_c2,sK7(uri_ex_d,X0_14))
    | ~ ic(X0_14)
    | iext(uri_owl_disjointWith,uri_ex_d,X0_14) ),
    inference(superposition,[status(thm)],[c_7717,c_7422]) ).

cnf(c_10146,plain,
    ( ~ iext(uri_rdf_rest,X1_14,sK12)
    | ~ iext(uri_rdf_first,X1_14,X3_14)
    | ~ iext(uri_rdf_first,X0_14,X2_14)
    | ~ iext(uri_rdf_rest,X0_14,X1_14)
    | sP3(X4_14,X2_14,X3_14,uri_ex_c3,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_7870,c_101,c_7870]) ).

cnf(c_10147,plain,
    ( ~ iext(uri_rdf_rest,X0_14,X1_14)
    | ~ iext(uri_rdf_first,X0_14,X2_14)
    | ~ iext(uri_rdf_first,X1_14,X3_14)
    | ~ iext(uri_rdf_rest,X1_14,sK12)
    | sP3(X4_14,X2_14,X3_14,uri_ex_c3,X0_14) ),
    inference(renaming,[status(thm)],[c_10146]) ).

cnf(c_10223,plain,
    ( ~ ic(uri_ex_d)
    | ~ ic(uri_ex_c)
    | iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c) ),
    inference(superposition,[status(thm)],[c_8013,c_3816]) ).

cnf(c_10224,plain,
    iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c),
    inference(global_subsumption_just,[status(thm)],[c_10223,c_100,c_3875,c_6488,c_10223]) ).

cnf(c_10226,plain,
    ( ~ icext(uri_ex_d,X0_15)
    | icext(uri_ex_c,X0_15) ),
    inference(superposition,[status(thm)],[c_10224,c_3814]) ).

cnf(c_12272,plain,
    ( ~ ic(uri_ex_d)
    | ~ ic(uri_ex_c2)
    | iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2) ),
    inference(superposition,[status(thm)],[c_3811,c_9177]) ).

cnf(c_12281,plain,
    iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2),
    inference(global_subsumption_just,[status(thm)],[c_12272,c_100,c_93,c_3875,c_3882,c_12272]) ).

cnf(c_12283,plain,
    ( ~ icext(uri_ex_d,X0_15)
    | ~ icext(uri_ex_c2,X0_15) ),
    inference(superposition,[status(thm)],[c_12281,c_3809]) ).

cnf(c_13526,plain,
    ( ~ iext(uri_rdf_first,X0_14,X1_14)
    | ~ iext(uri_rdf_rest,X0_14,sK11)
    | ~ iext(uri_rdf_rest,sK11,sK12)
    | sP3(X2_14,X1_14,uri_ex_c2,uri_ex_c3,X0_14) ),
    inference(resolution,[status(thm)],[c_10147,c_3796]) ).

cnf(c_13616,plain,
    ( ~ iext(uri_rdf_rest,X0_14,sK11)
    | ~ iext(uri_rdf_first,X0_14,X1_14)
    | sP3(X2_14,X1_14,uri_ex_c2,uri_ex_c3,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_13526,c_103,c_13526]) ).

cnf(c_13617,plain,
    ( ~ iext(uri_rdf_first,X0_14,X1_14)
    | ~ iext(uri_rdf_rest,X0_14,sK11)
    | sP3(X2_14,X1_14,uri_ex_c2,uri_ex_c3,X0_14) ),
    inference(renaming,[status(thm)],[c_13616]) ).

cnf(c_13637,plain,
    ( ~ iext(uri_rdf_first,X0_14,X1_14)
    | ~ iext(uri_owl_unionOf,X2_14,X0_14)
    | ~ iext(uri_rdf_rest,X0_14,sK11)
    | sP2(uri_ex_c3,uri_ex_c2,X1_14,X2_14) ),
    inference(resolution,[status(thm)],[c_3830,c_13617]) ).

cnf(c_13676,plain,
    ( ~ iext(uri_rdf_first,sK10,X0_14)
    | ~ iext(uri_rdf_rest,sK10,sK11)
    | sP2(uri_ex_c3,uri_ex_c2,X0_14,uri_ex_c) ),
    inference(resolution,[status(thm)],[c_13637,c_3793]) ).

cnf(c_13951,plain,
    ( ~ iext(uri_rdf_first,sK10,X0_14)
    | sP2(uri_ex_c3,uri_ex_c2,X0_14,uri_ex_c) ),
    inference(global_subsumption_just,[status(thm)],[c_13676,c_105,c_13676]) ).

cnf(c_14396,plain,
    ( ~ iext(uri_rdf_first,sK10,X0_14)
    | ic(uri_ex_c3) ),
    inference(resolution,[status(thm)],[c_3821,c_13951]) ).

cnf(c_14489,plain,
    ic(uri_ex_c3),
    inference(resolution,[status(thm)],[c_14396,c_3794]) ).

cnf(c_14781,plain,
    ( ~ iext(uri_rdf_first,sK10,X0_14)
    | ~ icext(uri_ex_c,X0_15)
    | icext(X0_14,X0_15)
    | icext(uri_ex_c3,X0_15)
    | icext(uri_ex_c2,X0_15) ),
    inference(resolution,[status(thm)],[c_3822,c_13951]) ).

cnf(c_15732,plain,
    ( ~ icext(uri_ex_c,X0_15)
    | icext(uri_ex_c3,X0_15)
    | icext(uri_ex_c2,X0_15)
    | icext(uri_ex_c1,X0_15) ),
    inference(resolution,[status(thm)],[c_14781,c_3794]) ).

cnf(c_15750,plain,
    ( ~ icext(uri_ex_d,X0_15)
    | ~ icext(uri_ex_c,X0_15)
    | icext(uri_ex_c3,X0_15)
    | icext(uri_ex_c2,X0_15) ),
    inference(resolution,[status(thm)],[c_15732,c_4783]) ).

cnf(c_16652,plain,
    ( icext(uri_ex_c3,X0_15)
    | ~ icext(uri_ex_d,X0_15) ),
    inference(global_subsumption_just,[status(thm)],[c_15750,c_10226,c_12283,c_15750]) ).

cnf(c_16653,plain,
    ( ~ icext(uri_ex_d,X0_15)
    | icext(uri_ex_c3,X0_15) ),
    inference(renaming,[status(thm)],[c_16652]) ).

cnf(c_16663,plain,
    ( ~ icext(uri_ex_d,sK6(X0_14,uri_ex_c3))
    | ~ ic(X0_14)
    | ~ ic(uri_ex_c3)
    | iext(uri_rdfs_subClassOf,X0_14,uri_ex_c3) ),
    inference(resolution,[status(thm)],[c_16653,c_3816]) ).

cnf(c_17673,plain,
    ( ~ ic(X0_14)
    | ~ icext(uri_ex_d,sK6(X0_14,uri_ex_c3))
    | iext(uri_rdfs_subClassOf,X0_14,uri_ex_c3) ),
    inference(global_subsumption_just,[status(thm)],[c_16663,c_14489,c_16663]) ).

cnf(c_17674,plain,
    ( ~ icext(uri_ex_d,sK6(X0_14,uri_ex_c3))
    | ~ ic(X0_14)
    | iext(uri_rdfs_subClassOf,X0_14,uri_ex_c3) ),
    inference(renaming,[status(thm)],[c_17673]) ).

cnf(c_17688,plain,
    ( ~ ic(uri_ex_d)
    | ~ ic(uri_ex_c3)
    | iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
    inference(resolution,[status(thm)],[c_17674,c_3815]) ).

cnf(c_17689,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17688,c_14489,c_3875,c_92,c_100]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWB020+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 07:16:25 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.22/0.48  Running first-order theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.62/1.72  % SZS status Started for theBenchmark.p
% 6.62/1.72  % SZS status Theorem for theBenchmark.p
% 6.62/1.72  
% 6.62/1.72  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.62/1.72  
% 6.62/1.72  ------  iProver source info
% 6.62/1.72  
% 6.62/1.72  git: date: 2023-05-31 18:12:56 +0000
% 6.62/1.72  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.62/1.72  git: non_committed_changes: false
% 6.62/1.72  git: last_make_outside_of_git: false
% 6.62/1.72  
% 6.62/1.72  ------ Parsing...
% 6.62/1.72  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 6.62/1.72  
% 6.62/1.72  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 6.62/1.72  
% 6.62/1.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.62/1.72  ------ Proving...
% 6.62/1.72  ------ Problem Properties 
% 6.62/1.72  
% 6.62/1.72  
% 6.62/1.72  clauses                                 57
% 6.62/1.72  conjectures                             1
% 6.62/1.72  EPR                                     46
% 6.62/1.72  Horn                                    49
% 6.62/1.72  unary                                   16
% 6.62/1.72  binary                                  13
% 6.62/1.72  lits                                    167
% 6.62/1.72  lits eq                                 0
% 6.62/1.72  fd_pure                                 0
% 6.62/1.72  fd_pseudo                               0
% 6.62/1.72  fd_cond                                 0
% 6.62/1.72  fd_pseudo_cond                          0
% 6.62/1.72  AC symbols                              0
% 6.62/1.72  
% 6.62/1.72  ------ Input Options Time Limit: Unbounded
% 6.62/1.72  
% 6.62/1.72  
% 6.62/1.72  ------ 
% 6.62/1.72  Current options:
% 6.62/1.72  ------ 
% 6.62/1.72  
% 6.62/1.72  
% 6.62/1.72  
% 6.62/1.72  
% 6.62/1.72  ------ Proving...
% 6.62/1.72  
% 6.62/1.72  
% 6.62/1.72  % SZS status Theorem for theBenchmark.p
% 6.62/1.72  
% 6.62/1.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.62/1.73  
% 6.62/1.73  
%------------------------------------------------------------------------------