%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 : Tue Apr 30 20:51:55 EDT 2024

% Result   : Theorem 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   20 (   4   ~;   0   |;   8   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   17 (  11   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X] :
    ? [Y1,Y2] :
    ! [Z] :
      ( big_f(X,Z)
     => ( big_f(Y1,Z)
       => ( big_f(Y2,Z)
         => ( big_f(Y1,X)
           => big_f(Z,Y2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [X] :
      ? [Y1,Y2] :
      ! [Z] :
        ( big_f(X,Z)
       => ( big_f(Y1,Z)
         => ( big_f(Y2,Z)
           => ( big_f(Y1,X)
             => big_f(Z,Y2) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [X] :
    ! [Y1,Y2] :
    ? [Z] :
      ( big_f(X,Z)
      & big_f(Y1,Z)
      & big_f(Y2,Z)
      & big_f(Y1,X)
      & ~ big_f(Z,Y2) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ! [Y1,Y2] :
      ( big_f(sk0_0,sk0_1(Y2,Y1))
      & big_f(Y1,sk0_1(Y2,Y1))
      & big_f(Y2,sk0_1(Y2,Y1))
      & big_f(Y1,sk0_0)
      & ~ big_f(sk0_1(Y2,Y1),Y2) ),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f8,plain,
    ! [X0] : big_f(X0,sk0_0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ! [X0,X1] : ~ big_f(sk0_1(X0,X1),X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    $false,
    inference(resolution,[status(thm)],[f9,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:27:17 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.21/0.37  % Refutation found
% 0.21/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.015890 seconds
% 0.21/0.38  % CPU time: 0.027162 seconds
% 0.21/0.38  % Total memory used: 1.890 MB
% 0.21/0.38  % Net memory used: 1.709 MB
%------------------------------------------------------------------------------