%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 12:24:54 EDT 2023

% Result   : Theorem 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   32 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  14   ~;   7   |;  11   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (;  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f284,axiom,
    ! [X,Y] :
      ( less(X,Y)
    <=> ( ~ less(Y,X)
        & Y != X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f402,conjecture,
    ? [X] :
      ( ( less(nn1,X)
        & less(X,n1) )
     => sum(n21,X,n21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f403,negated_conjecture,
    ~ ? [X] :
        ( ( less(nn1,X)
          & less(X,n1) )
       => sum(n21,X,n21) ),
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f703,plain,
    ! [X,Y] :
      ( ( ~ less(X,Y)
        | ( ~ less(Y,X)
          & Y != X ) )
      & ( less(X,Y)
        | less(Y,X)
        | Y = X ) ),
    inference(NNF_transformation,[status(esa)],[f284]) ).

fof(f704,plain,
    ( ! [X,Y] :
        ( ~ less(X,Y)
        | ( ~ less(Y,X)
          & Y != X ) )
    & ! [X,Y] :
        ( less(X,Y)
        | less(Y,X)
        | Y = X ) ),
    inference(miniscoping,[status(esa)],[f703]) ).

fof(f706,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X1 != X0 ),
    inference(cnf_transformation,[status(esa)],[f704]) ).

fof(f861,plain,
    ! [X] :
      ( less(nn1,X)
      & less(X,n1)
      & ~ sum(n21,X,n21) ),
    inference(pre_NNF_transformation,[status(esa)],[f403]) ).

fof(f862,plain,
    ( ! [X] : less(nn1,X)
    & ! [X] : less(X,n1)
    & ! [X] : ~ sum(n21,X,n21) ),
    inference(miniscoping,[status(esa)],[f861]) ).

fof(f863,plain,
    ! [X0] : less(nn1,X0),
    inference(cnf_transformation,[status(esa)],[f862]) ).

fof(f866,plain,
    ! [X0] : ~ less(X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f706]) ).

fof(f868,plain,
    $false,
    inference(resolution,[status(thm)],[f866,f863]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 09:43:07 EDT 2023
% 0.18/0.34  % CPUTime  : 
% 0.18/0.35  % Drodi V3.5.1
% 0.18/0.36  % Refutation found
% 0.18/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.57  % Elapsed time: 0.020479 seconds
% 0.22/0.57  % CPU time: 0.040329 seconds
% 0.22/0.57  % Memory used: 15.406 MB
%------------------------------------------------------------------------------