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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB004+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:04:21 PM UTC 2026

% Result   : Theorem 2.55s 1.28s
% Output   : CNFRefutation 2.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   94 (  19 unt;   0 def)
%            Number of atoms       :  311 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  359 ( 142   ~; 151   |;  53   &)
%                                         (   9 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   99 (   0 sgn  93   !;   6   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f3,axiom,
    ! [X0] :
      ( idc(X0)
     => ic(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

fof(f4,axiom,
    ic(uri_owl_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_type) ).

fof(f5,axiom,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
    <=> ic(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

fof(f6,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).

fof(f7,axiom,
    ! [X0] :
      ( icext(uri_rdfs_Class,X0)
    <=> ic(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

fof(f8,axiom,
    ic(uri_rdfs_Datatype),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_type) ).

fof(f9,axiom,
    ! [X0] :
      ( icext(uri_rdfs_Datatype,X0)
    <=> idc(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_ext) ).

fof(f10,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_type) ).

fof(f11,axiom,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f14,conjecture,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

fof(f15,negated_conjecture,
    ~ ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
      & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
      & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ! [X0] :
      ( icext(uri_rdfs_Datatype,X0)
     => idc(X0) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f17,plain,
    ! [X0] :
      ( ir(X0)
     => icext(uri_owl_Thing,X0) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ idc(X0)
      | ic(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Datatype,X0)
      | idc(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ ir(X0)
      | icext(uri_owl_Thing,X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X0,X2)
            | icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f22,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f24,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_Class,X0)
        | ic(X0) )
      & ( ~ ic(X0)
        | icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X0] :
      ( ( ~ icext(uri_rdfs_Class,X0)
        | ic(X0) )
      & ( ~ ic(X0)
        | icext(uri_rdfs_Class,X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( icext(X0,sK0(X0,X1))
          & ~ icext(X1,sK0(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f28]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X2] :
              ( ( ~ icext(X0,X2)
                | icext(X1,X2) )
              & ( ~ icext(X1,X2)
                | icext(X0,X2) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X2] :
              ( ( ~ icext(X0,X2)
                | icext(X1,X2) )
              & ( ~ icext(X1,X2)
                | icext(X0,X2) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X3] :
              ( ( ~ icext(X0,X3)
                | icext(X1,X3) )
              & ( ~ icext(X1,X3)
                | icext(X0,X3) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(rectify,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X3] :
              ( ( ~ icext(X0,X3)
                | icext(X1,X3) )
              & ( ~ icext(X1,X3)
                | icext(X0,X3) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( ( icext(X0,sK1(X0,X1))
            | icext(X1,sK1(X0,X1)) )
          & ( ~ icext(X0,sK1(X0,X1))
            | ~ icext(X1,sK1(X0,X1)) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f32]) ).

fof(f34,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ idc(X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f38,plain,
    ic(uri_owl_Class),
    inference(cnf_transformation,[],[f4]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ icext(uri_owl_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ ic(X0)
      | icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f41,plain,
    ic(uri_rdfs_Class),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ ic(X0)
      | icext(uri_rdfs_Class,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f44,plain,
    ic(uri_rdfs_Datatype),
    inference(cnf_transformation,[],[f8]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Datatype,X0)
      | idc(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f46,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f10]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ ir(X0)
      | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( icext(X0,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( icext(X0,sK1(X0,X1))
      | icext(X1,sK1(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ icext(X0,sK1(X0,X1))
      | ~ icext(X1,sK1(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f59,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_49,plain,
    ! [X0: $i] : ir(X0),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_53,plain,
    ic(uri_owl_Class),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_54,plain,
    ! [X0: $i] :
      ( icext(uri_owl_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_55,plain,
    ! [X0: $i] :
      ( ic(X0)
      | ~ icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_56,plain,
    ic(uri_rdfs_Class),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_57,plain,
    ! [X0: $i] :
      ( icext(uri_rdfs_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_58,plain,
    ! [X0: $i] :
      ( ic(X0)
      | ~ icext(uri_rdfs_Class,X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_59,plain,
    ic(uri_rdfs_Datatype),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_60,plain,
    ! [X0: $i] :
      ( idc(X0)
      | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_61,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_62,plain,
    ! [X0: $i] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X1,X0)
      | ~ ic(X1)
      | ~ ic(X0)
      | ~ icext(X0,sK0(X1,X0)) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X0,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_equivalentClass,X0,X1)
      | ~ ic(X1)
      | ~ ic(X0)
      | ~ icext(X1,sK1(X0,X1))
      | ~ icext(X0,sK1(X0,X1)) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_equivalentClass,X0,X1)
      | icext(X1,sK1(X0,X1))
      | icext(X0,sK1(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_74,negated_conjecture,
    ( ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_75,plain,
    ir(uri_owl_Class),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_76,plain,
    ( icext(uri_owl_Thing,uri_owl_Class)
    | ~ ir(uri_owl_Class) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_79,plain,
    ( icext(uri_owl_Class,uri_owl_Class)
    | ~ ic(uri_owl_Class) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_81,plain,
    ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ icext(uri_owl_Class,uri_owl_Class) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_86,plain,
    ! [X0: $i] : icext(uri_owl_Thing,X0),
    inference(global_subsumption_just,[status(thm)],[c_62,c_49,c_62]) ).

tcf(c_105,plain,
    ! [X0: $i] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_107,plain,
    ! [X0: $i] :
      ( ~ icext(uri_rdfs_Datatype,X0)
      | idc(X0) ),
    inference(prop_impl_just,[status(thm)],[c_60]) ).

tcf(c_108,plain,
    ! [X0: $i] :
      ( idc(X0)
      | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(renaming,[status(thm)],[c_107]) ).

tcf(c_297,plain,
    ! [X0: $i] :
      ( ic(X0)
      | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(resolution,[status(thm)],[c_108,c_105]) ).

tcf(c_320,plain,
    ! [X0: $i] :
      ( ~ icext(uri_rdfs_Datatype,X0)
      | ic(X0) ),
    inference(prop_impl_just,[status(thm)],[c_297]) ).

tcf(c_321,plain,
    ! [X0: $i] :
      ( ic(X0)
      | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(renaming,[status(thm)],[c_320]) ).

tcf(c_500,plain,
    ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ icext(uri_owl_Thing,uri_owl_Class) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_502,plain,
    ( iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ ic(uri_owl_Thing)
    | ~ ic(uri_owl_Class)
    | ~ icext(uri_owl_Thing,sK0(uri_owl_Class,uri_owl_Thing)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_503,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | icext(uri_rdfs_Datatype,sK0(uri_rdfs_Datatype,uri_owl_Class))
    | ~ ic(uri_rdfs_Datatype)
    | ~ ic(uri_owl_Class) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_504,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ ic(uri_rdfs_Datatype)
    | ~ ic(uri_owl_Class)
    | ~ icext(uri_owl_Class,sK0(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_505,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ ic(uri_rdfs_Class)
    | ~ ic(uri_owl_Class) ),
    inference(instantiation,[status(thm)],[c_69]) ).

tcf(c_506,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(uri_rdfs_Class)
    | ~ ic(uri_owl_Class)
    | ~ icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(instantiation,[status(thm)],[c_68]) ).

tcf(c_510,plain,
    icext(uri_owl_Thing,sK0(uri_owl_Class,uri_owl_Thing)),
    inference(instantiation,[status(thm)],[c_86]) ).

tcf(c_517,plain,
    ( icext(uri_owl_Class,sK0(uri_rdfs_Datatype,uri_owl_Class))
    | ~ ic(sK0(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_524,plain,
    ( ic(sK0(uri_rdfs_Datatype,uri_owl_Class))
    | ~ icext(uri_rdfs_Datatype,sK0(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_555,plain,
    ( icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ ic(sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_577,plain,
    ( ic(sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_578,plain,
    ( ic(sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_688,plain,
    ( icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ ic(sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_715,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_688,c_577,c_578,c_555,c_524,c_517,c_510,c_505,c_506,c_504,c_503,c_502,c_500,c_74,c_81,c_79,c_76,c_75,c_53,c_56,c_59,c_61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB004+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n007.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 15:17:38 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40  
% 0.12/0.40  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 2.55/1.28  % SZS status Started for theBenchmark.p
% 2.55/1.28  % SZS status Theorem for theBenchmark.p
% 2.55/1.28  
% 2.55/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.55/1.28  
% 2.55/1.28  % ------  iProver source info
% 2.55/1.28  
% 2.55/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 2.55/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.55/1.28  % git: non_committed_changes: false
% 2.55/1.28  
% 2.55/1.28  % ------ Parsing...
% 2.55/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.55/1.28  
% 2.55/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.55/1.28  
% 2.55/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.55/1.28  % ------ Proving...
% 2.55/1.28  % ------ Problem Properties 
% 2.55/1.28  
% 2.55/1.28  % 
% 2.55/1.28  % clauses                               24
% 2.55/1.28  % conjectures                           1
% 2.55/1.28  % EPR                                   20
% 2.55/1.28  % Horn                                  22
% 2.55/1.28  % unary                                 5
% 2.55/1.28  % binary                                11
% 2.55/1.28  % lits                                  58
% 2.55/1.28  % lits eq                               0
% 2.55/1.28  % fd_pure                               0
% 2.55/1.28  % fd_pseudo                             0
% 2.55/1.28  % fd_cond                               0
% 2.55/1.28  % fd_pseudo_cond                        0
% 2.55/1.28  % AC symbols                            0
% 2.55/1.28  
% 2.55/1.28  % ------ Schedule dynamic 5 is on 
% 2.55/1.28  
% 2.55/1.28  % ------ no equalities: superposition off 
% 2.55/1.28  
% 2.55/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.55/1.28  
% 2.55/1.28  
% 2.55/1.28  % ------ 
% 2.55/1.28  % Current options:
% 2.55/1.28  % ------ 
% 2.55/1.28  
% 2.55/1.28  
% 2.55/1.28  % 
% 2.55/1.28  
% 2.55/1.28  % ------ Proving...
% 2.55/1.28  % 
% 2.55/1.28  
% 2.55/1.28  % SZS status Theorem for theBenchmark.p
% 2.55/1.28  
% 2.55/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.55/1.28  
% 2.55/1.28  
%------------------------------------------------------------------------------