%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:46:31 EDT 2023

% Result   : Theorem 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   47 (  10   ~;   9   |;  12   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   17 (;  13   !;   4   ?)

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

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

fof(f3,plain,
    ! [X] :
    ? [Y,Z] :
      ( ( ( big_f(Y,Z)
          & big_g(Y)
          & ~ big_h(X) )
        | big_f(X,X) )
      & ( ( big_f(Z,X)
          & ~ big_g(X) )
        | big_h(Z) )
      & big_f(X,Y)
      & ~ big_f(Z,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ! [X] :
      ( ( ( big_f(sk0_0(X),sk0_1(X))
          & big_g(sk0_0(X))
          & ~ big_h(X) )
        | big_f(X,X) )
      & ( ( big_f(sk0_1(X),X)
          & ~ big_g(X) )
        | big_h(sk0_1(X)) )
      & big_f(X,sk0_0(X))
      & ~ big_f(sk0_1(X),sk0_1(X)) ),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f6,plain,
    ! [X0] :
      ( big_g(sk0_0(X0))
      | big_f(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    ! [X0] :
      ( ~ big_h(X0)
      | big_f(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ big_g(X0)
      | big_h(sk0_1(X0)) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ! [X0] : ~ big_f(sk0_1(X0),sk0_1(X0)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0] :
      ( big_f(X0,X0)
      | big_h(sk0_1(sk0_0(X0))) ),
    inference(resolution,[status(thm)],[f6,f9]) ).

fof(f13,plain,
    ! [X0] :
      ( big_f(X0,X0)
      | big_f(sk0_1(sk0_0(X0)),sk0_1(sk0_0(X0))) ),
    inference(resolution,[status(thm)],[f12,f7]) ).

fof(f14,plain,
    ! [X0] : big_f(X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f13,f11]) ).

fof(f15,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f11,f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n005.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Tue May 30 10:28:51 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.27  % Elapsed time: 0.010809 seconds
% 0.06/0.27  % CPU time: 0.017618 seconds
% 0.06/0.27  % Memory used: 1.819 MB
%------------------------------------------------------------------------------