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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n009.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 03:03:46 PM UTC 2026

% Result   : Theorem 4.69s 1.08s
% Output   : Proof 4.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   70 (  19 unt;   0 def)
%            Number of atoms       :  229 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  240 (  81   ~; 107   |;  42   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            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   :   90 (   4 sgn  57   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [P1,P2] :
      ( iext(uri_rdfs_subPropertyOf,P1,P2)
    <=> ( ! [X,Y] :
            ( iext(P1,X,Y)
           => iext(P2,X,Y) )
        & ip(P2)
        & ip(P1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).

fof(f8_nnf,plain,
    ! [P1,P2] :
      ( ( ? [X,Y] :
            ( ~ iext(P2,X,Y)
            & iext(P1,X,Y) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_rdfs_subPropertyOf,P1,P2) )
      & ( ( ! [X,Y] :
              ( iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [P1,P2,X,Y] :
      ( ( ( ~ iext(P2,sk1(P1,P2),sk2(P1,P2))
          & iext(P1,sk1(P1,P2),sk2(P1,P2)) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_rdfs_subPropertyOf,P1,P2) )
      & ( ( ( iext(P2,X,Y)
            | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2])],[f8_nnf]) ).

cnf(c18,plain,
    ( iext(X0,sk1(X0,X1),sk2(X0,X1))
    | ~ ip(X1)
    | ~ ip(X0)
    | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

fof(f5,axiom,
    ip(uri_owl_equivalentClass),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).

fof(f5_nnf,plain,
    ip(uri_owl_equivalentClass),
    inference(nnf_transformation,[status(thm)],[f5]) ).

cnf(c7,plain,
    ip(uri_owl_equivalentClass),
    inference(cnf_transformation,[status(esa)],[f5_nnf]) ).

cnf(p44,plain,
    ( iext(uri_owl_equivalentClass,sk1(uri_owl_equivalentClass,X0),sk2(uri_owl_equivalentClass,X0))
    | ~ ip(X0)
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X0) ),
    inference(resolution,[status(thm)],[c18,c7]) ).

fof(f2,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_domain,P,C) )
     => icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f2_nnf,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c4,plain,
    ( icext(X1,X2)
    | ~ iext(X0,X2,X3)
    | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

fof(f3,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).

fof(f3_nnf,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(nnf_transformation,[status(thm)],[f3]) ).

cnf(c5,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[status(esa)],[f3_nnf]) ).

cnf(p32,plain,
    ( icext(uri_rdf_Property,X0)
    | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(resolution,[status(thm)],[c4,c5]) ).

fof(f4,axiom,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).

fof(f4_nnf,plain,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(nnf_transformation,[status(thm)],[f4]) ).

cnf(c6,plain,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(cnf_transformation,[status(esa)],[f4_nnf]) ).

cnf(p37,plain,
    icext(uri_rdf_Property,uri_rdfs_subClassOf),
    inference(resolution,[status(thm)],[p32,c6]) ).

fof(f1,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f1_nnf,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c3,plain,
    ( ~ icext(X1,X0)
    | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p38,plain,
    iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property),
    inference(resolution,[status(thm)],[p37,c3]) ).

fof(f0,axiom,
    ! [P] :
      ( iext(uri_rdf_type,P,uri_rdf_Property)
    <=> ip(P) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f0_nnf,plain,
    ! [P] :
      ( ( ~ ip(P)
        | iext(uri_rdf_type,P,uri_rdf_Property) )
      & ( ip(P)
        | ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [P] :
      ( ( ~ ip(P)
        | iext(uri_rdf_type,P,uri_rdf_Property) )
      & ( ip(P)
        | ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( ip(X0)
    | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p39,plain,
    ip(uri_rdfs_subClassOf),
    inference(resolution,[status(thm)],[p38,c0]) ).

cnf(p82,plain,
    ( iext(uri_owl_equivalentClass,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p44,p39]) ).

fof(f6,axiom,
    ! [X,Y] :
      ( iext(uri_owl_equivalentClass,X,Y)
     => ( ic(Y)
        & ic(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).

fof(f6_nnf,plain,
    ! [X,Y] :
      ( ( ic(Y)
        & ic(X) )
      | ~ iext(uri_owl_equivalentClass,X,Y) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X,Y] :
      ( ( ic(Y)
        & ic(X) )
      | ~ iext(uri_owl_equivalentClass,X,Y) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c8,plain,
    ( ic(X0)
    | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p96,plain,
    ( ic(sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p82,c8]) ).

fof(f7,axiom,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ! [X] :
            ( icext(C1,X)
           => icext(C2,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f7_nnf,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
      & ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [C1,C2,X] :
      ( ( ( ~ icext(C2,sk0(C1,C2))
          & icext(C1,sk0(C1,C2)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
      & ( ( ( icext(C2,X)
            | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f7_nnf]) ).

cnf(c13,plain,
    ( icext(X0,sk0(X0,X1))
    | ~ ic(X1)
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p100,plain,
    ( icext(sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk0(sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0))
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p96,c13]) ).

cnf(c9,plain,
    ( ic(X1)
    | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p97,plain,
    ( ic(sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p82,c9]) ).

cnf(p297,plain,
    ( iext(uri_rdfs_subPropertyOf,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)))
    | iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p100,p97]) ).

cnf(p759,plain,
    ( icext(sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk0(sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
    | iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(factoring,[status(thm)],[p297]) ).

fof(f9,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_equivalentClass,C1,C2)
    <=> ( ! [X] :
            ( icext(C1,X)
          <=> icext(C2,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f9_nnf,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( ( icext(C2,X)
              & ~ icext(C1,X) )
            | ( ~ icext(C2,X)
              & icext(C1,X) ) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_equivalentClass,C1,C2) )
      & ( ( ! [X] :
              ( ( ~ icext(C2,X)
                | icext(C1,X) )
              & ( icext(C2,X)
                | ~ icext(C1,X) ) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [C1,C2,X] :
      ( ( ( icext(C2,sk3(C1,C2))
          & ~ icext(C1,sk3(C1,C2)) )
        | ( ~ icext(C2,sk3(C1,C2))
          & icext(C1,sk3(C1,C2)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_equivalentClass,C1,C2) )
      & ( ( ( ~ icext(C2,X)
            | icext(C1,X) )
          & ( icext(C2,X)
            | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f9_nnf]) ).

cnf(c22,plain,
    ( icext(X1,X2)
    | ~ icext(X0,X2)
    | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p98,plain,
    ( icext(sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
    | ~ icext(sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p82,c22]) ).

cnf(p761,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_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
    | iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p759,p98]) ).

cnf(p837,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_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(factoring,[status(thm)],[p761]) ).

cnf(c14,plain,
    ( ~ icext(X1,sk0(X0,X1))
    | ~ ic(X1)
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p102,plain,
    ( ~ icext(X0,sk0(sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0))
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p96,c14]) ).

cnf(p243,plain,
    ( iext(uri_rdfs_subPropertyOf,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)))
    | iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p102,p97]) ).

cnf(p721,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_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(factoring,[status(thm)],[p243]) ).

cnf(p839,plain,
    ( iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
    | iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p837,p721]) ).

cnf(p841,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
    | iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(factoring,[status(thm)],[p839]) ).

cnf(p842,plain,
    ( iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(factoring,[status(thm)],[p841]) ).

cnf(c19,plain,
    ( ~ iext(X1,sk1(X0,X1),sk2(X0,X1))
    | ~ ip(X1)
    | ~ ip(X0)
    | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p159,plain,
    ( ~ iext(X0,sk1(uri_owl_equivalentClass,X0),sk2(uri_owl_equivalentClass,X0))
    | ~ ip(X0)
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X0) ),
    inference(resolution,[status(thm)],[c19,c7]) ).

cnf(p178,plain,
    ( ~ iext(uri_rdfs_subClassOf,sk1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sk2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p159,p39]) ).

cnf(p843,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
    | iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
    inference(resolution,[status(thm)],[p842,p178]) ).

cnf(p844,plain,
    iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(factoring,[status(thm)],[p843]) ).

fof(f10,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(f10_neg,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(negated_conjecture,[status(cth)],[f10]) ).

fof(f10_nnf,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(nnf_transformation,[status(thm)],[f10_neg]) ).

fof(f10_sk,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c28,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(p845,plain,
    $false,
    inference(resolution,[status(thm)],[p844,c28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36  % Computer : n009.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 15:28:28 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.69/1.08  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.69/1.08  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------