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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB006+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n023.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 05:16:36 PM UTC 2026

% Result   : Theorem 1.89s 1.92s
% Output   : CNFRefutation 1.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (  12 unt;   0 def)
%            Number of atoms       :   28 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   6   ~;   4   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn   4   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_eqdis_sameas,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_sameAs,X4,X7)
    <=> X4 = X7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).

fof(testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,axiom,
    ? [X42] :
      ( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,X42,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,X42,uri_ex_w) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).

fof(testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,conjecture,
    iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).

fof(c_0_3,plain,
    ! [X1814,X1815] :
      ( ( ~ iext(uri_owl_sameAs,X1814,X1815)
        | X1814 = X1815 )
      & ( X1814 != X1815
        | iext(uri_owl_sameAs,X1814,X1815) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).

fof(c_0_4,plain,
    ( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,esk192_0,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,esk192_0,uri_ex_w) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes])]) ).

cnf(c_0_5,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    iext(uri_owl_sameAs,esk192_0,uri_ex_w),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    iext(uri_owl_sameAs,esk192_0,literal_plain(dat_str_abc)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    esk192_0 = uri_ex_w,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,plain,
    literal_plain(dat_str_abc) = uri_ex_u,
    inference(spm,[status(thm)],[c_0_5,c_0_7]) ).

fof(c_0_11,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes])]) ).

cnf(c_0_12,plain,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

cnf(c_0_13,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    uri_ex_u = uri_ex_w,
    inference(spm,[status(thm)],[c_0_5,c_0_12]) ).

cnf(c_0_16,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB006+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33  % Computer : n023.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 04:07:23 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.89/1.92  % Version  : CSE_E---1.7
% 1.89/1.92  % Problem  : theBenchmark.p
% 1.89/1.92  % SZS status Theorem for theBenchmark.p
% 1.89/1.92  % SZS output start CNFRefutation
% See solution above
% 1.89/1.93  % Total time : 1.480s
%------------------------------------------------------------------------------