%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 : Wed May 31 12:45:56 EDT 2023

% Result   : Theorem 0.07s 0.33s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  13   ~;   8   |;   4   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   12 (;  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( big_f(X)
    <=> ~ big_f(f(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,conjecture,
    ? [X] :
      ( big_f(X)
      & ~ big_f(f(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ ? [X] :
        ( big_f(X)
        & ~ big_f(f(X)) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,plain,
    ! [X] :
      ( ( ~ big_f(X)
        | ~ big_f(f(X)) )
      & ( big_f(X)
        | big_f(f(X)) ) ),
    inference(NNF_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ( ! [X] :
        ( ~ big_f(X)
        | ~ big_f(f(X)) )
    & ! [X] :
        ( big_f(X)
        | big_f(f(X)) ) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | ~ big_f(f(X0)) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f7,plain,
    ! [X0] :
      ( big_f(X0)
      | big_f(f(X0)) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    ! [X] :
      ( ~ big_f(X)
      | big_f(f(X)) ),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | big_f(f(X0)) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f10,plain,
    ! [X0] : big_f(f(X0)),
    inference(forward_subsumption_resolution,[status(thm)],[f9,f7]) ).

fof(f11,plain,
    ! [X0] : ~ big_f(X0),
    inference(backward_subsumption_resolution,[status(thm)],[f6,f10]) ).

fof(f12,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f10,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.31  % Computer : n019.cluster.edu
% 0.07/0.31  % Model    : x86_64 x86_64
% 0.07/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.31  % Memory   : 8042.1875MB
% 0.07/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.31  % CPULimit : 300
% 0.07/0.31  % WCLimit  : 300
% 0.07/0.31  % DateTime : Tue May 30 10:25:40 EDT 2023
% 0.07/0.31  % CPUTime  : 
% 0.07/0.32  % Drodi V3.5.1
% 0.07/0.33  % Refutation found
% 0.07/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.33  % Elapsed time: 0.012079 seconds
% 0.07/0.33  % CPU time: 0.018472 seconds
% 0.07/0.33  % Memory used: 1.784 MB
%------------------------------------------------------------------------------