TSTP Solution File: SWB006+2 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWB006+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n007.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 : Thu Aug 31 20:01:48 EDT 2023

% Result   : Theorem 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (  13 unt;   7 typ;   0 def)
%            Number of atoms       :   29 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   17 (   7   ~;   4   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            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   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    uri_owl_sameAs: $i ).

tff(decl_23,type,
    iext: ( $i * $i * $i ) > $o ).

tff(decl_24,type,
    uri_ex_u: $i ).

tff(decl_25,type,
    uri_ex_w: $i ).

tff(decl_26,type,
    dat_str_abc: $i ).

tff(decl_27,type,
    literal_plain: $i > $i ).

tff(decl_28,type,
    esk1_0: $i ).

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

fof(testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,axiom,
    ? [X3] :
      ( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,X3,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,X3,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,
    ! [X4,X5] :
      ( ( ~ iext(uri_owl_sameAs,X4,X5)
        | X4 = X5 )
      & ( X4 != X5
        | iext(uri_owl_sameAs,X4,X5) ) ),
    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,esk1_0,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,esk1_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,uri_ex_u,literal_plain(dat_str_abc)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_7,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_8,plain,
    iext(uri_owl_sameAs,esk1_0,uri_ex_w),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    iext(uri_owl_sameAs,esk1_0,literal_plain(dat_str_abc)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    literal_plain(dat_str_abc) = uri_ex_u,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    uri_ex_w = esk1_0,
    inference(spm,[status(thm)],[c_0_5,c_0_8]) ).

cnf(c_0_13,plain,
    iext(uri_owl_sameAs,esk1_0,uri_ex_u),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_15,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,esk1_0),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    uri_ex_u = esk1_0,
    inference(spm,[status(thm)],[c_0_5,c_0_13]) ).

cnf(c_0_17,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : SWB006+2 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 06:39:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.59  % Total time : 0.005000 s
% 0.21/0.59  % SZS output end Proof
% 0.21/0.59  % Total time : 0.007000 s
%------------------------------------------------------------------------------