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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWB014+3 : TPTP v9.0.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Jul 25 04:05:12 PM UTC 2025

% Result   : Theorem 13.38s 2.01s
% Output   : CNFRefutation 13.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   32 (  17 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :   66 (  24   ~;  23   |;  15   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   24 (   0 sgn   8   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_014_Harry_belongs_to_some_Species,plain,
    ? [BNODE_x] :
      ( iext(uri_rdf_type,uri_ex_harry,BNODE_x)
      & iext(uri_rdf_type,BNODE_x,uri_ex_Species) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).

fof(testcase_conclusion_fullish_014_Harry_belongs_to_some_Species_negated,plain,
    ~ ? [BNODE_x] :
        ( iext(uri_rdf_type,uri_ex_harry,BNODE_x)
        & iext(uri_rdf_type,BNODE_x,uri_ex_Species) ),
    inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(260,plain,
    ( ~ iext(uri_rdf_type,X0,uri_ex_Species)
    | ~ iext(uri_rdf_type,uri_ex_harry,X0) ),
    inference(cnf,[status(esa)],[testcase_conclusion_fullish_014_Harry_belongs_to_some_Species_negated]) ).

cnf(l0,plain,
    ( ~ iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
    | ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle) ),
    inference(instantiation,[status(thm)],[260]) ).

fof(testcase_premise_fullish_014_Harry_belongs_to_some_Species,plain,
    ? [BNODE_u,BNODE_l1,BNODE_l2] :
      ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_harry,BNODE_u)
      & iext(uri_owl_unionOf,BNODE_u,BNODE_l1)
      & iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)
      & iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
      & iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)
      & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).

cnf(261,plain,
    iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l1,plain,
    iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(instantiation,[status(thm)],[261]) ).

fof(rdfs_cext_def,plain,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('Axioms/SWB002+0.ax',rdfs_cext_def) ).

cnf(194,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

cnf(l3,plain,
    ( ~ icext(uri_ex_Eagle,uri_ex_harry)
    | iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle) ),
    inference(instantiation,[status(thm)],[194]) ).

fof(owl_bool_unionof_class_002,plain,
    ! [Z,S1,C1,S2,C2] :
      ( ( iext(uri_rdf_first,S1,C1)
        & iext(uri_rdf_rest,S1,S2)
        & iext(uri_rdf_first,S2,C2)
        & iext(uri_rdf_rest,S2,uri_rdf_nil) )
     => ( iext(uri_owl_unionOf,Z,S1)
      <=> ( ic(Z)
          & ic(C1)
          & ic(C2)
          & ! [X] :
              ( icext(Z,X)
            <=> ( icext(C1,X)
                | icext(C2,X) ) ) ) ) ),
    file('Axioms/SWB002+0.ax',owl_bool_unionof_class_002) ).

cnf(58,plain,
    ( ~ icext(X0,X1)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X2,X4)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
    | ~ iext(uri_owl_unionOf,X0,X2)
    | icext(X3,X1)
    | icext(X5,X1) ),
    inference(cnf,[status(esa)],[owl_bool_unionof_class_002]) ).

cnf(l270,plain,
    ( ~ icext(sK20,uri_ex_harry)
    | ~ iext(uri_rdf_first,sK21,uri_ex_Eagle)
    | ~ iext(uri_rdf_first,sK22,uri_ex_Falcon)
    | ~ iext(uri_rdf_rest,sK21,sK22)
    | ~ iext(uri_rdf_rest,sK22,uri_rdf_nil)
    | ~ iext(uri_owl_unionOf,sK20,sK21)
    | icext(uri_ex_Eagle,uri_ex_harry)
    | icext(uri_ex_Falcon,uri_ex_harry) ),
    inference(instantiation,[status(thm)],[58]) ).

cnf(266,plain,
    iext(uri_rdf_rest,sK21,sK22),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l501,plain,
    iext(uri_rdf_rest,sK21,sK22),
    inference(instantiation,[status(thm)],[266]) ).

cnf(267,plain,
    iext(uri_rdf_first,sK22,uri_ex_Falcon),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l413,plain,
    iext(uri_rdf_first,sK22,uri_ex_Falcon),
    inference(instantiation,[status(thm)],[267]) ).

cnf(264,plain,
    iext(uri_owl_unionOf,sK20,sK21),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l492,plain,
    iext(uri_owl_unionOf,sK20,sK21),
    inference(instantiation,[status(thm)],[264]) ).

cnf(265,plain,
    iext(uri_rdf_first,sK21,uri_ex_Eagle),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l295,plain,
    iext(uri_rdf_first,sK21,uri_ex_Eagle),
    inference(instantiation,[status(thm)],[265]) ).

cnf(268,plain,
    iext(uri_rdf_rest,sK22,uri_rdf_nil),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l489,plain,
    iext(uri_rdf_rest,sK22,uri_rdf_nil),
    inference(instantiation,[status(thm)],[268]) ).

cnf(193,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

cnf(l296,plain,
    ( ~ iext(uri_rdf_type,uri_ex_harry,sK20)
    | icext(sK20,uri_ex_harry) ),
    inference(instantiation,[status(thm)],[193]) ).

cnf(263,plain,
    iext(uri_rdf_type,uri_ex_harry,sK20),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l302,plain,
    iext(uri_rdf_type,uri_ex_harry,sK20),
    inference(instantiation,[status(thm)],[263]) ).

cnf(l487,plain,
    ( ~ icext(uri_ex_Falcon,uri_ex_harry)
    | iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
    inference(instantiation,[status(thm)],[194]) ).

cnf(l490,plain,
    ( ~ iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
    | ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
    inference(instantiation,[status(thm)],[260]) ).

cnf(262,plain,
    iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l505,plain,
    iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(instantiation,[status(thm)],[262]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l270,l501,l413,l492,l295,l489,l296,l302,l487,l490,l505]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWB014+3 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 22 04:02:19 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 8
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % launching worker at depth: 9
% 0.12/0.35  % launching worker at depth: 10
% 0.20/0.48  % launching worker at depth: 11
% 12.51/1.94  % launching worker at depth: 12
% 13.38/2.01  % SZS status Theorem for theBenchmark
% 13.38/2.01  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------