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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYO561+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 09:12:05 AM UTC 2026

% Result   : Theorem 0.12s 0.37s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   13 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   0 usr;   2 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(apple_not_microsoft,conjecture,
    "Apple" != "Microsoft",
    file('theBenchmark.p',apple_not_microsoft) ).

fof(f_1_1,negated_conjecture,
    "Apple" = "Microsoft",
    inference(negate,[status(cth)],[apple_not_microsoft]) ).

fof(f_1_2,negated_conjecture,
    "Apple" = "Microsoft",
    inference(definitional_conversion,[status(esa)],[f_1_1]) ).

cnf(f_1_3,negated_conjecture,
    "Apple" = "Microsoft",
    inference(clausify,[status(thm)],[f_1_2]) ).

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

cnf(distinct_objects_1,axiom,
    "Microsoft" != "Apple",
    theory(distinct_objects,[distinct_objects]) ).

cnf(t1,plain,
    "Microsoft" != "Apple",
    inference(start,[status(thm),parent(0:0)],[distinct_objects_1]) ).

cnf(t2,plain,
    ( "Apple" != "Microsoft"
    | "Microsoft" = "Apple" ),
    inference(extension,[status(thm),parent(t1:1)],[equality_2]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    "Apple" = "Microsoft",
    inference(extension,[status(thm),parent(t2:2)],[f_1_3]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO561+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.02  This is a FOF_THM_EPR_PEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n008.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep 20 07:42:23 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.37  % SZS status Theorem for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------