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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWB009+3 : TPTP v9.0.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n031.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 04:05:10 PM UTC 2025

% Result   : Theorem 10.25s 1.69s
% Output   : CNFRefutation 10.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   53 (  22   ~;  19   |;   9   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :   23 (   0 sgn   6   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,plain,
    ? [BNODE_x] :
      ( iext(uri_ex_p,uri_ex_s,BNODE_x)
      & iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments_negated,plain,
    ~ ? [BNODE_x] :
        ( iext(uri_ex_p,uri_ex_s,BNODE_x)
        & iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
    inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).

cnf(260,plain,
    ( ~ iext(uri_rdf_type,X0,uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(cnf,[status(esa)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments_negated]) ).

cnf(l0,plain,
    ( ~ iext(uri_rdf_type,sK18(sK20,uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_s,sK18(sK20,uri_ex_p,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[260]) ).

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(l1,plain,
    ( ~ icext(uri_ex_c,sK18(sK20,uri_ex_p,uri_ex_c,uri_ex_s))
    | iext(uri_rdf_type,sK18(sK20,uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) ),
    inference(instantiation,[status(thm)],[194]) ).

fof(owl_restrict_somevaluesfrom,plain,
    ! [Z,P,C] :
      ( ( iext(uri_owl_someValuesFrom,Z,C)
        & iext(uri_owl_onProperty,Z,P) )
     => ! [X] :
          ( icext(Z,X)
        <=> ? [Y] :
              ( iext(P,X,Y)
              & icext(C,Y) ) ) ),
    file('Axioms/SWB002+0.ax',owl_restrict_somevaluesfrom) ).

cnf(169,plain,
    ( ~ icext(X0,X1)
    | ~ iext(uri_owl_someValuesFrom,X0,X2)
    | ~ iext(uri_owl_onProperty,X0,X3)
    | icext(X2,sK18(X0,X3,X2,X1)) ),
    inference(cnf,[status(esa)],[owl_restrict_somevaluesfrom]) ).

cnf(l2,plain,
    ( ~ icext(sK20,uri_ex_s)
    | ~ iext(uri_owl_someValuesFrom,sK20,uri_ex_c)
    | ~ iext(uri_owl_onProperty,sK20,uri_ex_p)
    | icext(uri_ex_c,sK18(sK20,uri_ex_p,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[169]) ).

cnf(168,plain,
    ( ~ icext(X0,X1)
    | ~ iext(uri_owl_someValuesFrom,X0,X2)
    | ~ iext(uri_owl_onProperty,X0,X3)
    | iext(X3,X1,sK18(X0,X3,X2,X1)) ),
    inference(cnf,[status(esa)],[owl_restrict_somevaluesfrom]) ).

cnf(l8,plain,
    ( ~ icext(sK20,uri_ex_s)
    | ~ iext(uri_owl_someValuesFrom,sK20,uri_ex_c)
    | ~ iext(uri_owl_onProperty,sK20,uri_ex_p)
    | iext(uri_ex_p,uri_ex_s,sK18(sK20,uri_ex_p,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[168]) ).

fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,plain,
    ? [BNODE_z] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_s,BNODE_z)
      & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
      & iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
      & iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

cnf(265,plain,
    iext(uri_owl_onProperty,sK20,uri_ex_p),
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

cnf(l100,plain,
    iext(uri_owl_onProperty,sK20,uri_ex_p),
    inference(instantiation,[status(thm)],[265]) ).

cnf(l17,plain,
    iext(uri_owl_onProperty,sK20,uri_ex_p),
    inference(instantiation,[status(thm)],[265]) ).

cnf(266,plain,
    iext(uri_owl_someValuesFrom,sK20,uri_ex_c),
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

cnf(l3,plain,
    iext(uri_owl_someValuesFrom,sK20,uri_ex_c),
    inference(instantiation,[status(thm)],[266]) ).

cnf(l33,plain,
    iext(uri_owl_someValuesFrom,sK20,uri_ex_c),
    inference(instantiation,[status(thm)],[266]) ).

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

cnf(l4,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,sK20)
    | icext(sK20,uri_ex_s) ),
    inference(instantiation,[status(thm)],[193]) ).

cnf(263,plain,
    iext(uri_rdf_type,uri_ex_s,sK20),
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

cnf(l16,plain,
    iext(uri_rdf_type,uri_ex_s,sK20),
    inference(instantiation,[status(thm)],[263]) ).

cnf(l21,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,sK20)
    | icext(sK20,uri_ex_s) ),
    inference(instantiation,[status(thm)],[193]) ).

cnf(l63,plain,
    iext(uri_rdf_type,uri_ex_s,sK20),
    inference(instantiation,[status(thm)],[263]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l100,l17,l3,l33,l4,l16,l21,l63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SWB009+3 : TPTP v9.0.0. Released v5.2.0.
% 0.06/0.14  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34  % Computer : n031.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8042.1875MB
% 0.09/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Tue Jul 22 03:56:49 EDT 2025
% 0.09/0.34  % CPUTime  : 
% 0.09/0.35  % launching worker at depth: 1
% 0.09/0.35  % launching worker at depth: 2
% 0.09/0.35  % launching worker at depth: 4
% 0.09/0.35  % launching worker at depth: 8
% 0.09/0.35  % launching worker at depth: 3
% 0.09/0.35  % launching worker at depth: 5
% 0.09/0.35  % launching worker at depth: 7
% 0.09/0.35  % launching worker at depth: 6
% 0.09/0.35  % launching worker at depth: 9
% 0.09/0.35  % launching worker at depth: 10
% 0.14/0.41  % launching worker at depth: 11
% 10.25/1.69  % SZS status Theorem for theBenchmark
% 10.25/1.69  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------