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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n012.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 09:09:24 AM UTC 2026

% Result   : Theorem 0.03s 0.31s
% Output   : Proof 0.03s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(pel48_1,axiom,
    ( c = d
    | a = b ),
    file('theBenchmark.p',pel48_1) ).

fof(pel48_2,axiom,
    ( b = d
    | a = c ),
    file('theBenchmark.p',pel48_2) ).

fof(pel48,conjecture,
    ( b = c
    | a = d ),
    file('theBenchmark.p',pel48) ).

fof(f_1_1,plain,
    ( c = d
    | a = b ),
    inference(fof_nnf,[status(thm)],[pel48_1]) ).

cnf(f_1_2,plain,
    ( c = d
    | a = b ),
    inference(clausify,[status(thm)],[f_1_1]) ).

fof(f_2_1,plain,
    ( b = d
    | a = c ),
    inference(fof_nnf,[status(thm)],[pel48_2]) ).

cnf(f_2_2,plain,
    ( b = d
    | a = c ),
    inference(clausify,[status(thm)],[f_2_1]) ).

fof(f_3_1,negated_conjecture,
    ~ ( b = c
      | a = d ),
    inference(negate,[status(cth)],[pel48]) ).

fof(f_3_2,negated_conjecture,
    ( b != c
    & a != d ),
    inference(fof_nnf,[status(thm)],[f_3_1]) ).

fof(f_3_3,negated_conjecture,
    ( b != c
    & a != d ),
    inference(definitional_conversion,[status(esa)],[f_3_2]) ).

cnf(f_3_4,negated_conjecture,
    a != d,
    inference(clausify,[status(thm)],[f_3_3]) ).

cnf(f_3_5,negated_conjecture,
    b != c,
    inference(clausify,[status(thm)],[f_3_3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02  This is a FOF_THM_EPR_PEQ problem
% 0.00/0.02  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Sun Sep 20 06:24:06 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.31  % SZS status Theorem for theBenchmark
% 0.03/0.31  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------