%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN363+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:52:01 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   20 (   7   ~;   3   |;   6   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   24 (  19   !;   5   ?)

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

fof(f2,negated_conjecture,
    ~ ( ( ! [X] : big_r(X,b)
        & ! [Y] :
            ( ? [Z] : big_r(Y,Z)
           => big_r(a,Y) ) )
     => ? [U] :
        ! [V] : big_r(U,V) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

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

fof(f4,plain,
    ( ! [X] : big_r(X,b)
    & ! [Y] :
        ( ! [Z] : ~ big_r(Y,Z)
        | big_r(a,Y) )
    & ! [U] : ~ big_r(U,sk0_0(U)) ),
    inference(skolemization,[status(esa)],[f3]) ).

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

fof(f6,plain,
    ! [X0,X1] :
      ( ~ big_r(X0,X1)
      | big_r(a,X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    ! [X0] : ~ big_r(X0,sk0_0(X0)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
    ! [X0] : big_r(a,X0),
    inference(resolution,[status(thm)],[f6,f5]) ).

fof(f9,plain,
    $false,
    inference(resolution,[status(thm)],[f8,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN363+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:20:47 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.37  % Elapsed time: 0.016549 seconds
% 0.21/0.37  % CPU time: 0.015381 seconds
% 0.21/0.37  % Total memory used: 2.738 MB
% 0.21/0.37  % Net memory used: 2.653 MB
%------------------------------------------------------------------------------