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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN081+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n005.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 09:09:26 AM UTC 2026

% Result   : Theorem 0.12s 0.37s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(pel59_1,axiom,
    ! [X] :
      ( big_f(X)
    <=> ~ big_f(f(X)) ),
    file('theBenchmark.p',pel59_1) ).

fof(pel59,conjecture,
    ? [X] :
      ( ~ big_f(f(X))
      & big_f(X) ),
    file('theBenchmark.p',pel59) ).

fof(f_1_1,plain,
    ! [X] :
      ( ( big_f(X)
        | big_f(f(X)) )
      & ( ~ big_f(f(X))
        | ~ big_f(X) ) ),
    inference(fof_nnf,[status(thm)],[pel59_1]) ).

fof(f_1_2,plain,
    ! [U_0] :
      ( ( big_f(U_0)
        | big_f(f(U_0)) )
      & ( ~ big_f(f(U_0))
        | ~ big_f(U_0) ) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ( ! [U_2] :
        ( big_f(U_2)
        | big_f(f(U_2)) )
    & ! [U_1] :
        ( ~ big_f(f(U_1))
        | ~ big_f(U_1) ) ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

cnf(f_1_4,plain,
    ( ~ big_f(f(U_1))
    | ~ big_f(U_1) ),
    inference(clausify,[status(thm)],[f_1_3]) ).

cnf(f_1_5,plain,
    ( big_f(U_2)
    | big_f(f(U_2)) ),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,negated_conjecture,
    ~ ? [X] :
        ( ~ big_f(f(X))
        & big_f(X) ),
    inference(negate,[status(cth)],[pel59]) ).

fof(f_2_2,negated_conjecture,
    ! [X] :
      ( big_f(f(X))
      | ~ big_f(X) ),
    inference(fof_nnf,[status(thm)],[f_2_1]) ).

fof(f_2_3,negated_conjecture,
    ! [U_3] :
      ( big_f(f(U_3))
      | ~ big_f(U_3) ),
    inference(variable_rename,[status(thm)],[f_2_2]) ).

fof(f_2_4,negated_conjecture,
    ! [U_3] :
      ( big_f(f(U_3))
      | ~ big_f(U_3) ),
    inference(definitional_conversion,[status(esa)],[f_2_3]) ).

cnf(f_2_5,negated_conjecture,
    ( big_f(f(U_3))
    | ~ big_f(U_3) ),
    inference(clausify,[status(thm)],[f_2_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN081+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34  % Computer : n005.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8046.5625MB
% 0.10/0.34  % OS       : Linux 6.8.0-71-generic
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Sun Sep 20 06:24:35 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.12/0.37  % SZS status Theorem for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------