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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB009+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n018.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 : Tue May  5 05:16:42 PM UTC 2026

% Result   : Theorem 2.20s 2.02s
% Output   : CNFRefutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :   86 (  36   ~;  30   |;  17   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 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   :   37 (   0 sgn  15   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
    ? [X42] :
      ( iext(uri_ex_p,uri_ex_s,X42)
      & iext(uri_rdf_type,X42,uri_ex_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(owl_restrict_somevaluesfrom,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_someValuesFrom,X11,X5)
        & iext(uri_owl_onProperty,X11,X2) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ? [X7] :
              ( iext(X2,X4,X7)
              & icext(X5,X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_restrict_somevaluesfrom) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
    ? [X43] :
      ( 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,X43)
      & iext(uri_rdf_type,X43,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X43,uri_ex_p)
      & iext(uri_owl_someValuesFrom,X43,uri_ex_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X42] :
        ( iext(uri_ex_p,uri_ex_s,X42)
        & iext(uri_rdf_type,X42,uri_ex_c) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).

fof(c_0_5,negated_conjecture,
    ! [X2225] :
      ( ~ iext(uri_ex_p,uri_ex_s,X2225)
      | ~ iext(uri_rdf_type,X2225,uri_ex_c) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_6,plain,
    ! [X1721,X1722,X1723,X1724,X1726,X1727] :
      ( ( iext(X1722,X1724,esk104_4(X1721,X1722,X1723,X1724))
        | ~ icext(X1721,X1724)
        | ~ iext(uri_owl_someValuesFrom,X1721,X1723)
        | ~ iext(uri_owl_onProperty,X1721,X1722) )
      & ( icext(X1723,esk104_4(X1721,X1722,X1723,X1724))
        | ~ icext(X1721,X1724)
        | ~ iext(uri_owl_someValuesFrom,X1721,X1723)
        | ~ iext(uri_owl_onProperty,X1721,X1722) )
      & ( ~ iext(X1722,X1726,X1727)
        | ~ icext(X1723,X1727)
        | icext(X1721,X1726)
        | ~ iext(uri_owl_someValuesFrom,X1721,X1723)
        | ~ iext(uri_owl_onProperty,X1721,X1722) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_somevaluesfrom])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ iext(uri_ex_p,uri_ex_s,X1)
    | ~ iext(uri_rdf_type,X1,uri_ex_c) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( iext(X1,X2,esk104_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X1025,X1026] :
      ( ( ~ iext(uri_rdf_type,X1025,X1026)
        | icext(X1026,X1025) )
      & ( ~ icext(X1026,X1025)
        | iext(uri_rdf_type,X1025,X1026) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ icext(X1,uri_ex_s)
    | ~ iext(uri_rdf_type,esk104_4(X1,uri_ex_p,X2,uri_ex_s),uri_ex_c)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ( 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,esk192_0)
    & iext(uri_rdf_type,esk192_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk192_0,uri_ex_p)
    & iext(uri_owl_someValuesFrom,esk192_0,uri_ex_c) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments])]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ icext(uri_ex_c,esk104_4(X1,uri_ex_p,X2,uri_ex_s))
    | ~ icext(X1,uri_ex_s)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( icext(X1,esk104_4(X2,X3,X1,X4))
    | ~ icext(X2,X4)
    | ~ iext(uri_owl_someValuesFrom,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    iext(uri_rdf_type,uri_ex_s,esk192_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ icext(X1,uri_ex_s)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    iext(uri_owl_someValuesFrom,esk192_0,uri_ex_c),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    icext(esk192_0,uri_ex_s),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    iext(uri_owl_onProperty,esk192_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB009+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n018.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 04:07:17 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 2.20/2.02  % Version  : CSE_E---1.7
% 2.20/2.02  % Problem  : theBenchmark.p
% 2.20/2.02  % SZS status Theorem for theBenchmark.p
% 2.20/2.02  % SZS output start CNFRefutation
% See solution above
% 2.20/2.02  % Total time : 1.480s
%------------------------------------------------------------------------------