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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n018.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 03:04:26 PM UTC 2026

% Result   : Theorem 3.15s 1.28s
% Output   : CNFRefutation 3.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   75 (  15 unt;   0 def)
%            Number of atoms       :  306 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  379 ( 148   ~; 155   |;  65   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  138 (   0 sgn 126   !;  12   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(X0,X2,X3)
        & iext(uri_rdfs_domain,X0,X1) )
     => icext(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f4,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).

fof(f5,axiom,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).

fof(f6,axiom,
    ip(uri_owl_equivalentClass),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f11,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).

fof(f12,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f13,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(flattening,[],[f12]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X2) ),
    inference(flattening,[],[f14]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X0,X2)
            | icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f19,plain,
    ! [X0] :
      ( ( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
        | ip(X0) )
      & ( ~ ip(X0)
        | iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f20,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(f21,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,[],[f17]) ).

fof(f22,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,[],[f21]) ).

fof(f23,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,[],[f22]) ).

fof(f24,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))],[f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | iext(X1,X2,X3) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ iext(X1,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | iext(X1,X2,X3) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ iext(X1,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(flattening,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | iext(X1,X4,X5) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ iext(X1,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(rectify,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | iext(X1,X4,X5) )
          & ip(X1)
          & ip(X0) ) )
      & ( ( iext(X0,sK1(X0,X1),sK2(X0,X1))
          & ~ iext(X1,sK1(X0,X1),sK2(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f27]) ).

fof(f29,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,[],[f10]) ).

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(flattening,[],[f29]) ).

fof(f31,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,[],[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) ) )
      & ( ( ( icext(X0,sK3(X0,X1))
            | icext(X1,sK3(X0,X1)) )
          & ( ~ icext(X0,sK3(X0,X1))
            | ~ icext(X1,sK3(X0,X1)) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f31]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
      | ip(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X2) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f38,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[],[f4]) ).

fof(f39,plain,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ip(uri_owl_equivalentClass),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( icext(X0,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( iext(X0,sK1(X0,X1),sK2(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ iext(X1,sK1(X0,X1),sK2(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f53,plain,
    ! [X3,X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ~ icext(X0,X3)
      | icext(X1,X3) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ic(X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f59,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_50,plain,
    ! [X0: $i] :
      ( ip(X0)
      | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X3,X1)
      | ~ iext(uri_rdfs_domain,X0,X3)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_54,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_55,plain,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_56,plain,
    ip(uri_owl_equivalentClass),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X1,X0)
      | ~ ic(X1)
      | ~ ic(X0)
      | ~ icext(X0,sK0(X1,X0)) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X0,sK0(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subPropertyOf,X1,X0)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(X0,sK1(X1,X0),sK2(X1,X0)) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
      | iext(X0,sK1(X0,X1),sK2(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( ic(X0)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( ic(X1)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_75,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_513,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_rdf_Property,X0)
      | ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_525,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
    | ~ ip(uri_owl_equivalentClass)
    | ~ ip(uri_rdfs_subClassOf)
    | ~ iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_527,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
    | iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ ip(uri_owl_equivalentClass)
    | ~ ip(uri_rdfs_subClassOf) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_528,plain,
    ! [X0: $i] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
      | ~ icext(uri_rdf_Property,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_541,plain,
    ( ip(uri_rdfs_subClassOf)
    | ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_570,plain,
    ( iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
    | ~ icext(uri_rdf_Property,uri_rdfs_subClassOf) ),
    inference(instantiation,[status(thm)],[c_528]) ).

tcf(c_598,plain,
    ! [X0: $i] :
      ( icext(uri_rdf_Property,uri_rdfs_subClassOf)
      | ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
      | ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,X0) ),
    inference(instantiation,[status(thm)],[c_513]) ).

tcf(c_639,plain,
    ( icext(uri_rdf_Property,uri_rdfs_subClassOf)
    | ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class)
    | ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) ),
    inference(instantiation,[status(thm)],[c_598]) ).

tcf(c_683,plain,
    ( ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_72]) ).

tcf(c_684,plain,
    ( ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_728,plain,
    ! [X0: $i] :
      ( iext(uri_rdfs_subClassOf,X0,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
      | ~ ic(X0)
      | ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
      | ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(X0,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_735,plain,
    ! [X0: $i] :
      ( iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
      | icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0))
      | ~ ic(X0)
      | ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_1072,plain,
    ( iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
    inference(instantiation,[status(thm)],[c_728]) ).

tcf(c_1083,plain,
    ( iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
    | ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_735]) ).

tcf(c_1959,plain,
    ! [X0: $i] :
      ( icext(X0,sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
      | ~ iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
      | ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
    inference(instantiation,[status(thm)],[c_74]) ).

tcf(c_3561,plain,
    ( icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
    | ~ iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
    inference(instantiation,[status(thm)],[c_1959]) ).

tcf(c_3562,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3561,c_1083,c_1072,c_683,c_684,c_639,c_570,c_541,c_527,c_525,c_75,c_54,c_55,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n018.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 15:30:20 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 3.15/1.28  % SZS status Started for theBenchmark.p
% 3.15/1.28  % SZS status Theorem for theBenchmark.p
% 3.15/1.28  
% 3.15/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.15/1.28  
% 3.15/1.28  % ------  iProver source info
% 3.15/1.28  
% 3.15/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 3.15/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.15/1.28  % git: non_committed_changes: false
% 3.15/1.28  
% 3.15/1.28  % ------ Parsing...
% 3.15/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.15/1.28  
% 3.15/1.28  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.15/1.28  
% 3.15/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.15/1.28  % ------ Proving...
% 3.15/1.28  % ------ Problem Properties 
% 3.15/1.28  
% 3.15/1.28  % 
% 3.15/1.28  % clauses                               25
% 3.15/1.28  % conjectures                           1
% 3.15/1.28  % EPR                                   19
% 3.15/1.28  % Horn                                  22
% 3.15/1.28  % unary                                 4
% 3.15/1.28  % binary                                10
% 3.15/1.28  % lits                                  65
% 3.15/1.28  % lits eq                               0
% 3.15/1.28  % fd_pure                               0
% 3.15/1.28  % fd_pseudo                             0
% 3.15/1.28  % fd_cond                               0
% 3.15/1.28  % fd_pseudo_cond                        0
% 3.15/1.28  % AC symbols                            0
% 3.15/1.28  
% 3.15/1.28  % ------ Schedule dynamic 5 is on 
% 3.15/1.28  
% 3.15/1.28  % ------ no equalities: superposition off 
% 3.15/1.28  
% 3.15/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.15/1.28  
% 3.15/1.28  
% 3.15/1.28  % ------ 
% 3.15/1.28  % Current options:
% 3.15/1.28  % ------ 
% 3.15/1.28  
% 3.15/1.28  
% 3.15/1.28  % 
% 3.15/1.28  
% 3.15/1.28  % ------ Proving...
% 3.15/1.28  % 
% 3.15/1.28  
% 3.15/1.28  % SZS status Theorem for theBenchmark.p
% 3.15/1.28  
% 3.15/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.15/1.28  
% 3.15/1.28  
%------------------------------------------------------------------------------