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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB016+1 : 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 15.34s 3.23s
% Output   : CNFRefutation 15.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   71 (  13 unt;   0 def)
%            Number of atoms       :  324 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  403 ( 150   ~; 156   |;  84   &)
%                                         (   8 <=>;   5  =>;   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;   5 con; 0-2 aty)
%            Number of variables   :  160 (   0 sgn 142   !;  18   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(f69,axiom,
    iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_subclassof_range) ).

fof(f202,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
     => ( ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_equivalentclass_ext) ).

fof(f203,axiom,
    ip(uri_owl_equivalentClass),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_equivalentclass_type) ).

fof(f342,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X3) )
        & ip(X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_range) ).

fof(f343,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/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(f344,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/Axioms/SWB001+0.ax',owl_rdfsext_subpropertyof) ).

fof(f351,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/Axioms/SWB001+0.ax',owl_eqdis_equivalentclass) ).

fof(f559,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(f560,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(flattening,[],[f560]) ).

fof(f562,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,[],[f344]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X0,X2)
            | icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f573,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ( ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f202]) ).

fof(f574,plain,
    ! [X0,X1,X2] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | icext(X1,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f342]) ).

fof(f590,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,[],[f562]) ).

fof(f591,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,[],[f590]) ).

fof(f592,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,[],[f591]) ).

fof(f593,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,sK0(X0,X1),sK1(X0,X1))
          & ~ iext(X1,sK0(X0,X1),sK1(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f592]) ).

fof(f594,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,[],[f567]) ).

fof(f595,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,[],[f594]) ).

fof(f596,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,[],[f595]) ).

fof(f597,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( icext(X0,sK2(X0,X1))
          & ~ icext(X1,sK2(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f596]) ).

fof(f598,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,[],[f351]) ).

fof(f599,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,[],[f598]) ).

fof(f600,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,[],[f599]) ).

fof(f601,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))],[f600]) ).

fof(f605,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_range,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | icext(X1,X3) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_range,X0,X1) ) ),
    inference(nnf_transformation,[],[f575]) ).

fof(f606,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_range,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | icext(X1,X3) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_range,X0,X1) ) ),
    inference(flattening,[],[f605]) ).

fof(f607,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_range,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | icext(X1,X5) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_range,X0,X1) ) ),
    inference(rectify,[],[f606]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_range,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | icext(X1,X5) )
          & ip(X1)
          & ip(X0) ) )
      & ( ( iext(X0,sK4(X0,X1),sK5(X0,X1))
          & ~ icext(X1,sK5(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_range,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1))],[f607]) ).

fof(f621,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(cnf_transformation,[],[f561]) ).

fof(f625,plain,
    ! [X0,X1] :
      ( iext(X0,sK0(X0,X1),sK1(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[],[f593]) ).

fof(f626,plain,
    ! [X0,X1] :
      ( ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[],[f593]) ).

fof(f637,plain,
    ! [X0,X1] :
      ( icext(X0,sK2(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f597]) ).

fof(f638,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK2(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f597]) ).

fof(f641,plain,
    iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(cnf_transformation,[],[f69]) ).

fof(f647,plain,
    ! [X3,X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ~ icext(X0,X3)
      | icext(X1,X3) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f653,plain,
    ip(uri_owl_equivalentClass),
    inference(cnf_transformation,[],[f203]) ).

fof(f654,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ic(X1) ),
    inference(cnf_transformation,[],[f573]) ).

fof(f655,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f573]) ).

fof(f656,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f574]) ).

fof(f672,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f608]) ).

tcf(c_49,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(cnf_transformation,[],[f621]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subPropertyOf,X1,X0)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(X0,sK0(X1,X0),sK1(X1,X0)) ),
    inference(cnf_transformation,[],[f626]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
      | iext(X0,sK0(X0,X1),sK1(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f625]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X1,X0)
      | ~ ic(X1)
      | ~ ic(X0)
      | ~ icext(X0,sK2(X1,X0)) ),
    inference(cnf_transformation,[],[f638]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X0,sK2(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f637]) ).

tcf(c_69,plain,
    iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(cnf_transformation,[],[f641]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f647]) ).

tcf(c_81,plain,
    ip(uri_owl_equivalentClass),
    inference(cnf_transformation,[],[f653]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i] :
      ( ic(X0)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f655]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i] :
      ( ic(X1)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f654]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ip(X0)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f656]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i] :
      ( ip(X0)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[],[f672]) ).

tcf(c_226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ iext(X0,X1,X2)
      | ip(X0) ),
    inference(prop_impl_just,[status(thm)],[c_84]) ).

tcf(c_227,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ip(X0)
      | ~ iext(X0,X1,X2) ),
    inference(renaming,[status(thm)],[c_226]) ).

tcf(c_505,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subPropertyOf,X1,X0)
      | ~ ip(X1)
      | ~ iext(X0,sK0(X1,X0),sK1(X1,X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_227]) ).

tcf(c_1258,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
    | ~ ip(uri_owl_equivalentClass)
    | ~ iext(uri_rdfs_subClassOf,sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_505]) ).

tcf(c_1261,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
    | iext(uri_owl_equivalentClass,sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ ip(uri_rdfs_subClassOf)
    | ~ ip(uri_owl_equivalentClass) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_2158,plain,
    ip(uri_rdfs_subClassOf),
    inference(superposition,[status(thm)],[c_69,c_100]) ).

tcf(c_5321,plain,
    ( iext(uri_rdfs_subClassOf,sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | icext(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
    | ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ ic(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_5331,plain,
    ( iext(uri_rdfs_subClassOf,sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ ic(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_6207,plain,
    ! [X0: $i] :
      ( ic(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf))
      | ~ iext(uri_owl_equivalentClass,sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0) ),
    inference(instantiation,[status(thm)],[c_82]) ).

tcf(c_15160,plain,
    ( ic(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ iext(uri_owl_equivalentClass,sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_6207]) ).

tcf(c_16113,plain,
    ! [X0: $i] :
      ( ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
      | ~ iext(uri_owl_equivalentClass,X0,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_23774,plain,
    ( ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ iext(uri_owl_equivalentClass,sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
    inference(instantiation,[status(thm)],[c_16113]) ).

tcf(c_33192,plain,
    ! [X0: $i] :
      ( icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
      | ~ iext(uri_owl_equivalentClass,X0,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
      | ~ icext(X0,sK2(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_52710,plain,
    ( icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
    | ~ iext(uri_owl_equivalentClass,sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | ~ icext(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(sK0(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
    inference(instantiation,[status(thm)],[c_33192]) ).

tcf(c_52711,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_52710,c_23774,c_15160,c_5331,c_5321,c_2158,c_1261,c_1258,c_49,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB016+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n018.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Thu Sep 24 15:29:49 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 15.34/3.23  % SZS status Started for theBenchmark.p
% 15.34/3.23  % SZS status Theorem for theBenchmark.p
% 15.34/3.23  
% 15.34/3.23  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.34/3.23  
% 15.34/3.23  % ------  iProver source info
% 15.34/3.23  
% 15.34/3.23  % git: date: 2026-07-19 20:42:38 +0200
% 15.34/3.23  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.34/3.23  % git: non_committed_changes: false
% 15.34/3.23  
% 15.34/3.23  % ------ Parsing...
% 15.34/3.23  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 15.34/3.23  
% 15.34/3.23  % ------ Preprocessing... sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 15.34/3.23  
% 15.34/3.23  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 15.34/3.23  % ------ Proving...
% 15.34/3.23  % ------ Problem Properties 
% 15.34/3.23  
% 15.34/3.23  % 
% 15.34/3.23  % clauses                               65
% 15.34/3.23  % conjectures                           1
% 15.34/3.23  % EPR                                   55
% 15.34/3.23  % Horn                                  60
% 15.34/3.23  % unary                                 23
% 15.34/3.23  % binary                                24
% 15.34/3.23  % lits                                  136
% 15.34/3.23  % lits eq                               0
% 15.34/3.23  % fd_pure                               0
% 15.34/3.23  % fd_pseudo                             0
% 15.34/3.23  % fd_cond                               0
% 15.34/3.23  % fd_pseudo_cond                        0
% 15.34/3.23  % AC symbols                            0
% 15.34/3.23  
% 15.34/3.23  % ------ Schedule dynamic 5 is on 
% 15.34/3.23  
% 15.34/3.23  % ------ no equalities: superposition off 
% 15.34/3.23  
% 15.34/3.23  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.34/3.23  
% 15.34/3.23  
% 15.34/3.23  % ------ 
% 15.34/3.23  % Current options:
% 15.34/3.23  % ------ 
% 15.34/3.23  
% 15.34/3.23  
% 15.34/3.23  % 
% 15.34/3.23  
% 15.34/3.23  % ------ Proving...
% 15.34/3.23  % 
% 15.34/3.23  
% 15.34/3.23  % SZS status Theorem for theBenchmark.p
% 15.34/3.23  
% 15.34/3.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.34/3.23  
% 15.34/3.23  
%------------------------------------------------------------------------------