%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN381+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:52:04 EDT 2024

% Result   : Theorem 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   41 (  13   ~;  12   |;  10   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   34 (  28   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ! [X] :
          ( ? [Y] : big_q(X,Y)
         => big_p(X) )
      & ! [V] :
        ? [U] : big_q(U,V)
      & ! [W,Z] :
          ( big_q(W,Z)
         => ( big_q(Z,W)
            | big_q(Z,Z) ) ) )
   => ! [Z] : big_p(Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X] :
            ( ? [Y] : big_q(X,Y)
           => big_p(X) )
        & ! [V] :
          ? [U] : big_q(U,V)
        & ! [W,Z] :
            ( big_q(W,Z)
           => ( big_q(Z,W)
              | big_q(Z,Z) ) ) )
     => ! [Z] : big_p(Z) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ! [X] :
        ( ! [Y] : ~ big_q(X,Y)
        | big_p(X) )
    & ! [V] :
      ? [U] : big_q(U,V)
    & ! [W,Z] :
        ( ~ big_q(W,Z)
        | big_q(Z,W)
        | big_q(Z,Z) )
    & ? [Z] : ~ big_p(Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [X] :
        ( ! [Y] : ~ big_q(X,Y)
        | big_p(X) )
    & ! [V] : big_q(sk0_0(V),V)
    & ! [W,Z] :
        ( ~ big_q(W,Z)
        | big_q(Z,W)
        | big_q(Z,Z) )
    & ~ big_p(sk0_1) ),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ~ big_q(X0,X1)
      | big_p(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

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

fof(f7,plain,
    ! [X0,X1] :
      ( ~ big_q(X0,X1)
      | big_q(X1,X0)
      | big_q(X1,X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
    ~ big_p(sk0_1),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ! [X0] : ~ big_q(sk0_1,X0),
    inference(resolution,[status(thm)],[f5,f8]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ big_q(X0,sk0_1)
      | big_q(sk0_1,X0) ),
    inference(resolution,[status(thm)],[f7,f9]) ).

fof(f11,plain,
    ! [X0] : ~ big_q(X0,sk0_1),
    inference(forward_subsumption_resolution,[status(thm)],[f10,f9]) ).

fof(f12,plain,
    $false,
    inference(resolution,[status(thm)],[f11,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16  % Problem  : SYN381+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.17  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.38  % Computer : n009.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8042.1875MB
% 0.13/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Apr 29 21:53:26 EDT 2024
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  % Drodi V3.6.0
% 0.20/0.40  % Refutation found
% 0.20/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41  % Elapsed time: 0.015227 seconds
% 0.20/0.41  % CPU time: 0.027176 seconds
% 0.20/0.41  % Total memory used: 1.896 MB
% 0.20/0.41  % Net memory used: 1.731 MB
%------------------------------------------------------------------------------