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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB007+2 : 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 : n013.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 05:16:38 PM UTC 2026

% Result   : Theorem 1.26s 1.73s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   30 (   5 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  10   ~;   7   |;   8   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_007_Equal_Classes,conjecture,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    & iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).

fof(owl_eqdis_sameas,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_sameAs,X1,X2)
    <=> X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(testcase_premise_fullish_007_Equal_Classes,axiom,
    ( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).

fof(c_0_3,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
      & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
      & iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_007_Equal_Classes]) ).

fof(c_0_4,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_owl_sameAs,X5,X6)
        | X5 = X6 )
      & ( X5 != X6
        | iext(uri_owl_sameAs,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).

fof(c_0_5,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    uri_ex_c2 = uri_ex_c1,
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).

cnf(c_0_11,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).

cnf(c_0_12,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_9]),c_0_11]),c_0_9]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB007+2 : 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
% 0.17/0.33  % Computer : n013.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.34  % DateTime   : Tue May  5 04:15:11 EDT 2026
% 0.17/0.34  % CPUTime    : 
% 0.17/0.35  % start to proof: theBenchmark
% 1.26/1.73  % Version  : CSE_E---1.7
% 1.26/1.73  % Problem  : theBenchmark.p
% 1.26/1.73  % SZS status Theorem for theBenchmark.p
% 1.26/1.73  % SZS output start CNFRefutation
% See solution above
% 1.26/1.73  % Total time : 1.374s
%------------------------------------------------------------------------------