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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 09:00:53 AM UTC 2026

% Result   : Theorem 0.11s 0.41s
% Output   : Proof 0.11s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_eqdis_sameas,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('theBenchmark.p',owl_eqdis_sameas) ).

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('theBenchmark.p',testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).

fof(testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,axiom,
    ? [BNODE_x] :
      ( iext(uri_owl_sameAs,BNODE_x,uri_ex_w)
      & iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    file('theBenchmark.p',testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).

fof(f_1_1,plain,
    ! [X,Y] :
      ( ( iext(uri_owl_sameAs,X,Y)
        | X != Y )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(fof_nnf,[status(thm)],[owl_eqdis_sameas]) ).

fof(f_1_2,plain,
    ! [U_1,U_0] :
      ( ( iext(uri_owl_sameAs,U_1,U_0)
        | U_1 != U_0 )
      & ( U_1 = U_0
        | ~ iext(uri_owl_sameAs,U_1,U_0) ) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ( ! [U_5,U_3] :
        ( iext(uri_owl_sameAs,U_5,U_3)
        | U_5 != U_3 )
    & ! [U_4,U_2] :
        ( U_4 = U_2
        | ~ iext(uri_owl_sameAs,U_4,U_2) ) ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

cnf(f_1_4,plain,
    ( U_4 = U_2
    | ~ iext(uri_owl_sameAs,U_4,U_2) ),
    inference(clausify,[status(thm)],[f_1_3]) ).

cnf(f_1_5,plain,
    ( iext(uri_owl_sameAs,U_5,U_3)
    | U_5 != U_3 ),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(negate,[status(cth)],[testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).

fof(f_2_2,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(definitional_conversion,[status(esa)],[f_2_1]) ).

cnf(f_2_3,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(clausify,[status(thm)],[f_2_2]) ).

fof(f_3_1,plain,
    ? [BNODE_x] :
      ( iext(uri_owl_sameAs,BNODE_x,uri_ex_w)
      & iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    inference(fof_nnf,[status(thm)],[testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).

fof(f_3_2,plain,
    ? [U_6] :
      ( iext(uri_owl_sameAs,U_6,uri_ex_w)
      & iext(uri_owl_sameAs,U_6,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ( ? [U_6] :
        ( iext(uri_owl_sameAs,U_6,uri_ex_w)
        & iext(uri_owl_sameAs,U_6,literal_plain(dat_str_abc)) )
    & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    inference(miniscope,[status(thm)],[f_3_2]) ).

fof(f_3_4,plain,
    ( iext(uri_owl_sameAs,sK1,uri_ex_w)
    & iext(uri_owl_sameAs,sK1,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1)],[f_3_3]) ).

cnf(f_3_5,plain,
    iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_6,plain,
    iext(uri_owl_sameAs,sK1,literal_plain(dat_str_abc)),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_7,plain,
    iext(uri_owl_sameAs,sK1,uri_ex_w),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_2,axiom,
    ( Eq_x_1 = Eq_x_0
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[symmetry]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( literal_plain(Eq_x_0) = literal_plain(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_5,axiom,
    ( iext(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ iext(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n007.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 20 01:01:04 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.41  % SZS status Theorem for theBenchmark
% 0.11/0.41  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------