%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN406+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 20:52:08 EDT 2024

% Result   : Theorem 0.11s 0.27s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   33 (  11   ~;   6   |;  12   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (   8   !;   5   ?)

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

fof(f2,negated_conjecture,
    ~ ( ( ! [X] :
            ( f(X)
           => g(X) )
        & ? [Y] :
            ( f(Y)
            & h(Y) ) )
     => ? [Z] :
          ( g(Z)
          & h(Z) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ! [X] :
        ( ~ f(X)
        | g(X) )
    & ? [Y] :
        ( f(Y)
        & h(Y) )
    & ! [Z] :
        ( ~ g(Z)
        | ~ h(Z) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [X] :
        ( ~ f(X)
        | g(X) )
    & f(sk0_0)
    & h(sk0_0)
    & ! [Z] :
        ( ~ g(Z)
        | ~ h(Z) ) ),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f5,plain,
    ! [X0] :
      ( ~ f(X0)
      | g(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
    f(sk0_0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    h(sk0_0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ g(X0)
      | ~ h(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    g(sk0_0),
    inference(resolution,[status(thm)],[f5,f6]) ).

fof(f10,plain,
    ~ g(sk0_0),
    inference(resolution,[status(thm)],[f8,f7]) ).

fof(f11,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f10,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07  % Problem  : SYN406+1 : TPTP v8.1.2. Released v2.0.0.
% 0.01/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n025.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Mon Apr 29 22:10:25 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.6.0
% 0.11/0.27  % Refutation found
% 0.11/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.28  % Elapsed time: 0.009840 seconds
% 0.11/0.28  % CPU time: 0.009225 seconds
% 0.11/0.28  % Total memory used: 2.737 MB
% 0.11/0.28  % Net memory used: 2.653 MB
%------------------------------------------------------------------------------