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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWB014+2 : 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 : n029.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 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% 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(13,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_Falcon,uri_ex_Species)
    | ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
    inference(instantiation,[status(thm)],[13]) ).

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(15,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(l1,plain,
    iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(instantiation,[status(thm)],[15]) ).

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

cnf(1,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

cnf(l2,plain,
    ( ~ icext(uri_ex_Falcon,uri_ex_harry)
    | iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
    inference(instantiation,[status(thm)],[1]) ).

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('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).

cnf(5,plain,
    ( ~ iext(uri_owl_unionOf,X0,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X1,X3)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ icext(X0,X5)
    | icext(X2,X5)
    | icext(X4,X5) ),
    inference(cnf,[status(esa)],[owl_bool_unionof_class_002]) ).

cnf(l3,plain,
    ( ~ iext(uri_owl_unionOf,sK2,sK3)
    | ~ iext(uri_rdf_first,sK3,uri_ex_Eagle)
    | ~ iext(uri_rdf_first,sK4,uri_ex_Falcon)
    | ~ iext(uri_rdf_rest,sK3,sK4)
    | ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
    | ~ icext(sK2,uri_ex_harry)
    | icext(uri_ex_Eagle,uri_ex_harry)
    | icext(uri_ex_Falcon,uri_ex_harry) ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(21,plain,
    iext(uri_rdf_rest,sK4,uri_rdf_nil),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l4,plain,
    iext(uri_rdf_rest,sK4,uri_rdf_nil),
    inference(instantiation,[status(thm)],[21]) ).

cnf(20,plain,
    iext(uri_rdf_first,sK4,uri_ex_Falcon),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l5,plain,
    iext(uri_rdf_first,sK4,uri_ex_Falcon),
    inference(instantiation,[status(thm)],[20]) ).

cnf(18,plain,
    iext(uri_rdf_first,sK3,uri_ex_Eagle),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l39,plain,
    iext(uri_rdf_first,sK3,uri_ex_Eagle),
    inference(instantiation,[status(thm)],[18]) ).

cnf(19,plain,
    iext(uri_rdf_rest,sK3,sK4),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l14,plain,
    iext(uri_rdf_rest,sK3,sK4),
    inference(instantiation,[status(thm)],[19]) ).

cnf(0,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

cnf(l11,plain,
    ( ~ iext(uri_rdf_type,uri_ex_harry,sK2)
    | icext(sK2,uri_ex_harry) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(16,plain,
    iext(uri_rdf_type,uri_ex_harry,sK2),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l32,plain,
    iext(uri_rdf_type,uri_ex_harry,sK2),
    inference(instantiation,[status(thm)],[16]) ).

cnf(17,plain,
    iext(uri_owl_unionOf,sK2,sK3),
    inference(cnf,[status(esa)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(l6,plain,
    iext(uri_owl_unionOf,sK2,sK3),
    inference(instantiation,[status(thm)],[17]) ).

cnf(l44,plain,
    ( ~ icext(uri_ex_Eagle,uri_ex_harry)
    | iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l65,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)],[13]) ).

cnf(14,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(l75,plain,
    iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(instantiation,[status(thm)],[14]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l39,l14,l11,l32,l6,l44,l65,l75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWB014+2 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n029.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 04:01:49 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % launching worker at depth: 1
% 0.12/0.33  % launching worker at depth: 4
% 0.12/0.33  % launching worker at depth: 3
% 0.12/0.33  % launching worker at depth: 5
% 0.12/0.33  % launching worker at depth: 6
% 0.12/0.33  % launching worker at depth: 2
% 0.12/0.33  % launching worker at depth: 7
% 0.12/0.33  % launching worker at depth: 8
% 0.12/0.33  % launching worker at depth: 9
% 0.12/0.34  % launching worker at depth: 10
% 0.12/0.34  % launching worker at depth: 11
% 0.18/0.36  % launching worker at depth: 12
% 0.18/0.36  % SZS status Theorem for theBenchmark
% 0.18/0.36  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------