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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB049+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n008.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 03:03:56 PM UTC 2026

% Result   : Theorem 35.76s 5.68s
% Output   : Proof 35.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   41 (  18 unt;   0 def)
%            Number of atoms       :  119 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  125 (  47   ~;  43   |;  29   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   62 (   7 sgn  39   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f351,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_equivalentProperty,P1,P2)
    <=> ( ! [X,Y] :
            ( iext(P1,X,Y)
          <=> iext(P2,X,Y) )
        & ip(P2)
        & ip(P1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentproperty) ).

fof(f351_nnf,plain,
    ! [P1,P2] :
      ( ( ? [X,Y] :
            ( ( iext(P2,X,Y)
              & ~ iext(P1,X,Y) )
            | ( ~ iext(P2,X,Y)
              & iext(P1,X,Y) ) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_equivalentProperty,P1,P2) )
      & ( ( ! [X,Y] :
              ( ( ~ iext(P2,X,Y)
                | iext(P1,X,Y) )
              & ( iext(P2,X,Y)
                | ~ iext(P1,X,Y) ) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_equivalentProperty,P1,P2) ) ),
    inference(nnf_transformation,[status(thm)],[f351]) ).

fof(f351_sk,plain,
    ! [P1,P2,X,Y] :
      ( ( ( iext(P2,sk124(P1,P2),sk125(P1,P2))
          & ~ iext(P1,sk124(P1,P2),sk125(P1,P2)) )
        | ( ~ iext(P2,sk124(P1,P2),sk125(P1,P2))
          & iext(P1,sk124(P1,P2),sk125(P1,P2)) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_equivalentProperty,P1,P2) )
      & ( ( ( ~ iext(P2,X,Y)
            | iext(P1,X,Y) )
          & ( iext(P2,X,Y)
            | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_equivalentProperty,P1,P2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk124,sk125])],[f351_nnf]) ).

cnf(c1037,plain,
    ( ~ iext(X1,X2,X3)
    | iext(X0,X2,X3)
    | ~ iext(uri_owl_equivalentProperty,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f351_sk]) ).

fof(f559,axiom,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_reflexive_ext) ).

fof(f559_nnf,plain,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    inference(nnf_transformation,[status(thm)],[f559]) ).

cnf(c1407,plain,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    inference(cnf_transformation,[status(esa)],[f559_nnf]) ).

cnf(p1963,plain,
    ( ~ iext(uri_owl_topObjectProperty,X0,X1)
    | iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[c1037,c1407]) ).

fof(f267,axiom,
    ! [X,Y] :
      ( iext(uri_owl_topObjectProperty,X,Y)
    <=> ( ir(Y)
        & ir(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_topobjectproperty_ext) ).

fof(f267_nnf,plain,
    ! [X,Y] :
      ( ( ~ ir(Y)
        | ~ ir(X)
        | iext(uri_owl_topObjectProperty,X,Y) )
      & ( ( ir(Y)
          & ir(X) )
        | ~ iext(uri_owl_topObjectProperty,X,Y) ) ),
    inference(nnf_transformation,[status(thm)],[f267]) ).

fof(f267_sk,plain,
    ! [X,Y] :
      ( ( ~ ir(Y)
        | ~ ir(X)
        | iext(uri_owl_topObjectProperty,X,Y) )
      & ( ( ir(Y)
          & ir(X) )
        | ~ iext(uri_owl_topObjectProperty,X,Y) ) ),
    inference(skolemisation,[status(esa)],[f267_nnf]) ).

cnf(c352,plain,
    ( ~ ir(X1)
    | ~ ir(X0)
    | iext(uri_owl_topObjectProperty,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f267_sk]) ).

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

fof(f1_nnf,plain,
    ! [X] : ir(X),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X] : ir(X),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ir(X0),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p849,plain,
    ( ~ ir(X1)
    | iext(uri_owl_topObjectProperty,X0,X1) ),
    inference(resolution,[status(thm)],[c352,c1]) ).

cnf(p850,plain,
    iext(uri_owl_topObjectProperty,X0,X1),
    inference(resolution,[status(thm)],[p849,c1]) ).

cnf(p1964,plain,
    iext(uri_ex_p,X0,X1),
    inference(resolution,[status(thm)],[p1963,p850]) ).

fof(f395,axiom,
    ! [P] :
      ( icext(uri_owl_ReflexiveProperty,P)
    <=> ( ! [X] : iext(P,X,X)
        & ip(P) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_reflexive) ).

fof(f395_nnf,plain,
    ! [P] :
      ( ( ? [X] : ~ iext(P,X,X)
        | ~ ip(P)
        | icext(uri_owl_ReflexiveProperty,P) )
      & ( ( ! [X] : iext(P,X,X)
          & ip(P) )
        | ~ icext(uri_owl_ReflexiveProperty,P) ) ),
    inference(nnf_transformation,[status(thm)],[f395]) ).

fof(f395_sk,plain,
    ! [P,X] :
      ( ( ~ iext(P,sk177(P),sk177(P))
        | ~ ip(P)
        | icext(uri_owl_ReflexiveProperty,P) )
      & ( ( iext(P,X,X)
          & ip(P) )
        | ~ icext(uri_owl_ReflexiveProperty,P) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk177])],[f395_nnf]) ).

cnf(c1188,plain,
    ( ~ iext(X0,sk177(X0),sk177(X0))
    | ~ ip(X0)
    | icext(uri_owl_ReflexiveProperty,X0) ),
    inference(cnf_transformation,[status(esa)],[f395_sk]) ).

fof(f203,axiom,
    ! [X,Y] :
      ( iext(uri_owl_equivalentProperty,X,Y)
     => ( ip(Y)
        & ip(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentproperty_ext) ).

fof(f203_nnf,plain,
    ! [X,Y] :
      ( ( ip(Y)
        & ip(X) )
      | ~ iext(uri_owl_equivalentProperty,X,Y) ),
    inference(nnf_transformation,[status(thm)],[f203]) ).

fof(f203_sk,plain,
    ! [X,Y] :
      ( ( ip(Y)
        & ip(X) )
      | ~ iext(uri_owl_equivalentProperty,X,Y) ),
    inference(skolemisation,[status(esa)],[f203_nnf]) ).

cnf(c254,plain,
    ( ip(X0)
    | ~ iext(uri_owl_equivalentProperty,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f203_sk]) ).

cnf(p819,plain,
    ip(uri_ex_p),
    inference(resolution,[status(thm)],[c254,c1407]) ).

cnf(p1858,plain,
    ( ~ iext(uri_ex_p,sk177(uri_ex_p),sk177(uri_ex_p))
    | icext(uri_owl_ReflexiveProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[c1188,p819]) ).

cnf(p1965,plain,
    icext(uri_owl_ReflexiveProperty,uri_ex_p),
    inference(resolution,[status(thm)],[p1964,p1858]) ).

fof(f24,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f24_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)],[f24]) ).

fof(f24_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)],[f24_nnf]) ).

cnf(c26,plain,
    ( ~ icext(X1,X0)
    | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p1966,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(resolution,[status(thm)],[p1965,c26]) ).

fof(f558,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_reflexive_ext) ).

fof(f558_neg,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(negated_conjecture,[status(cth)],[f558]) ).

fof(f558_nnf,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(nnf_transformation,[status(thm)],[f558_neg]) ).

fof(f558_sk,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(skolemisation,[status(esa)],[f558_nnf]) ).

cnf(c1406,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(cnf_transformation,[status(esa)],[f558_sk]) ).

cnf(p1967,plain,
    $false,
    inference(resolution,[status(thm)],[p1966,c1406]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB049+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.39  % Computer : n008.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.16/0.39  % WCLimit  : 300
% 0.16/0.39  % DateTime : Thu Sep 24 15:41:54 UTC 2026
% 0.16/0.39  % CPUTime  : 
% 0.16/0.39  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.76/5.68  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.76/5.68  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------