%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN962+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 12:48:30 EDT 2023

% Result   : Theorem 0.06s 0.26s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   27 (  11   ~;   8   |;   4   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (;   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ! [X] : p(X)
   => ( ! [X] : p(X)
      & ! [Y] : p(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ! [X] : p(X)
     => ( ! [X] : p(X)
        & ! [Y] : p(Y) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

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

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

fof(f5,plain,
    ! [X0] : p(X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
    ( ~ p(sk0_0)
    | ~ p(sk0_1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    ( spl0_0
  <=> p(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f9,plain,
    ( ~ p(sk0_0)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f7]) ).

fof(f10,plain,
    ( spl0_1
  <=> p(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f12,plain,
    ( ~ p(sk0_1)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f10]) ).

fof(f13,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f6,f7,f10]) ).

fof(f14,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9,f5]) ).

fof(f15,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f14]) ).

fof(f16,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12,f5]) ).

fof(f17,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f16]) ).

fof(f18,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f13,f15,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYN962+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n016.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:53:44 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.25  % Drodi V3.5.1
% 0.06/0.26  % Refutation found
% 0.06/0.26  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.47  % Elapsed time: 0.006914 seconds
% 0.09/0.47  % CPU time: 0.015749 seconds
% 0.09/0.47  % Memory used: 6.968 MB
%------------------------------------------------------------------------------