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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWB030+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 : 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 04:05:18 PM UTC 2025

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   9 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   66 (  28   ~;  26   |;   7   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   28 (   2 sgn   9   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_premise_fullish_030_Bad_Class,plain,
    ? [BNODE_x] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
      & iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
      & iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
      & iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).

cnf(9,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK1),
    inference(cnf,[status(esa)],[testcase_premise_fullish_030_Bad_Class]) ).

cnf(l0,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK1),
    inference(instantiation,[status(thm)],[9]) ).

fof(owl_bool_complementof_class,plain,
    ! [Z,C] :
      ( iext(uri_owl_complementOf,Z,C)
     => ( ic(Z)
        & ic(C)
        & ! [X] :
            ( icext(Z,X)
          <=> ~ icext(C,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

cnf(7,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | icext(X0,X2)
    | icext(X1,X2) ),
    inference(cnf,[status(esa)],[owl_bool_complementof_class]) ).

cnf(l1,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK1)
    | icext(uri_ex_c,uri_ex_c)
    | icext(sK1,uri_ex_c) ),
    inference(instantiation,[status(thm)],[7]) ).

cnf(6,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | ~ icext(X0,X2)
    | ~ icext(X1,X2) ),
    inference(cnf,[status(esa)],[owl_bool_complementof_class]) ).

cnf(l2,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK1)
    | ~ icext(uri_ex_c,uri_ex_c)
    | ~ icext(sK1,uri_ex_c) ),
    inference(instantiation,[status(thm)],[6]) ).

fof(owl_restrict_hasself,plain,
    ! [Z,P,V] :
      ( ( iext(uri_owl_hasSelf,Z,V)
        & iext(uri_owl_onProperty,Z,P) )
     => ! [X] :
          ( icext(Z,X)
        <=> iext(P,X,X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).

cnf(2,plain,
    ( ~ iext(uri_owl_hasSelf,X0,X1)
    | ~ iext(uri_owl_onProperty,X0,X2)
    | ~ icext(X0,X3)
    | iext(X2,X3,X3) ),
    inference(cnf,[status(esa)],[owl_restrict_hasself]) ).

cnf(l12,plain,
    ( ~ iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_owl_onProperty,sK1,uri_rdf_type)
    | ~ icext(sK1,uri_ex_c)
    | iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(12,plain,
    iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf,[status(esa)],[testcase_premise_fullish_030_Bad_Class]) ).

cnf(l13,plain,
    iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(instantiation,[status(thm)],[12]) ).

cnf(3,plain,
    ( ~ iext(X0,X1,X1)
    | ~ iext(uri_owl_hasSelf,X2,X3)
    | ~ iext(uri_owl_onProperty,X2,X0)
    | icext(X2,X1) ),
    inference(cnf,[status(esa)],[owl_restrict_hasself]) ).

cnf(l21,plain,
    ( ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
    | ~ iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_owl_onProperty,sK1,uri_rdf_type)
    | icext(sK1,uri_ex_c) ),
    inference(instantiation,[status(thm)],[3]) ).

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(l22,plain,
    ( ~ icext(uri_ex_c,uri_ex_c)
    | iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(11,plain,
    iext(uri_owl_onProperty,sK1,uri_rdf_type),
    inference(cnf,[status(esa)],[testcase_premise_fullish_030_Bad_Class]) ).

cnf(l17,plain,
    iext(uri_owl_onProperty,sK1,uri_rdf_type),
    inference(instantiation,[status(thm)],[11]) ).

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

cnf(l25,plain,
    ( ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
    | icext(uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l24,plain,
    iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l26,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK1)
    | ~ icext(uri_ex_c,uri_ex_c)
    | ~ icext(sK1,uri_ex_c) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l23,plain,
    iext(uri_owl_onProperty,sK1,uri_rdf_type),
    inference(instantiation,[status(thm)],[11]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l12,l13,l21,l22,l17,l25,l24,l26,l23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWB030+2 : TPTP v9.0.0. Released v5.2.0.
% 0.10/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 22 04:19:04 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % launching worker at depth: 1
% 0.13/0.33  % launching worker at depth: 8
% 0.13/0.33  % launching worker at depth: 2
% 0.13/0.33  % launching worker at depth: 3
% 0.13/0.33  % launching worker at depth: 4
% 0.13/0.33  % launching worker at depth: 5
% 0.13/0.33  % launching worker at depth: 6
% 0.13/0.33  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 9
% 0.13/0.34  % launching worker at depth: 10
% 0.13/0.34  % SZS status Theorem for theBenchmark
% 0.13/0.34  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------