%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN346+1 : TPTP v8.1.2. Released v2.0.0.
% 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 12:46:35 EDT 2023

% Result   : Theorem 0.20s 0.58s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   42 (  16   ~;   9   |;  13   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (;  19   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X1,X2] :
    ? [Y1,Y2] :
    ! [Z1,Z2] :
      ( big_f(X2,Z1)
     => ( big_f(Y1,Z2)
       => ( ( big_f(Y1,Z1)
            & big_f(Y2,Z1) )
          | ( big_f(X2,Z2)
            & big_f(Y2,Z2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [X1,X2] :
      ? [Y1,Y2] :
      ! [Z1,Z2] :
        ( big_f(X2,Z1)
       => ( big_f(Y1,Z2)
         => ( ( big_f(Y1,Z1)
              & big_f(Y2,Z1) )
            | ( big_f(X2,Z2)
              & big_f(Y2,Z2) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [X1,X2] :
    ! [Y1,Y2] :
    ? [Z1,Z2] :
      ( big_f(X2,Z1)
      & big_f(Y1,Z2)
      & ( ~ big_f(Y1,Z1)
        | ~ big_f(Y2,Z1) )
      & ( ~ big_f(X2,Z2)
        | ~ big_f(Y2,Z2) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ? [X2] :
    ! [Y1,Y2] :
    ? [Z1] :
      ( big_f(X2,Z1)
      & ? [Z2] :
          ( big_f(Y1,Z2)
          & ( ~ big_f(Y1,Z1)
            | ~ big_f(Y2,Z1) )
          & ( ~ big_f(X2,Z2)
            | ~ big_f(Y2,Z2) ) ) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ! [Y1,Y2] :
      ( big_f(sk0_0,sk0_1(Y2,Y1))
      & big_f(Y1,sk0_2(Y2,Y1))
      & ( ~ big_f(Y1,sk0_1(Y2,Y1))
        | ~ big_f(Y2,sk0_1(Y2,Y1)) )
      & ( ~ big_f(sk0_0,sk0_2(Y2,Y1))
        | ~ big_f(Y2,sk0_2(Y2,Y1)) ) ),
    inference(skolemization,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0,X1] : big_f(sk0_0,sk0_1(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,sk0_1(X1,X0))
      | ~ big_f(X1,sk0_1(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f10,plain,
    ! [X0] : ~ big_f(X0,sk0_1(sk0_0,X0)),
    inference(resolution,[status(thm)],[f8,f6]) ).

fof(f11,plain,
    $false,
    inference(resolution,[status(thm)],[f10,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : SYN346+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 : n010.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 10:17:07 EDT 2023
% 0.07/0.31  % CPUTime  : 
% 0.07/0.32  % Drodi V3.5.1
% 0.20/0.58  % Refutation found
% 0.20/0.58  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58  % Elapsed time: 0.053573 seconds
% 0.20/0.58  % CPU time: 0.017214 seconds
% 0.20/0.58  % Memory used: 1.769 MB
%------------------------------------------------------------------------------