%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 12:46:39 EDT 2023

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   67 (  22   ~;  15   |;  20   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   51 (;  43   !;   8   ?)

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

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

fof(f3,plain,
    ( ! [U,V] :
        ( big_r(U,U)
      <=> big_r(U,V) )
    & ! [W,Z] :
        ( big_r(W,W)
      <=> big_r(Z,W) )
    & ? [X] : big_r(X,X)
    & ? [Y] : ~ big_r(Y,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [U,V] :
        ( ( ~ big_r(U,U)
          | big_r(U,V) )
        & ( big_r(U,U)
          | ~ big_r(U,V) ) )
    & ! [W,Z] :
        ( ( ~ big_r(W,W)
          | big_r(Z,W) )
        & ( big_r(W,W)
          | ~ big_r(Z,W) ) )
    & ? [X] : big_r(X,X)
    & ? [Y] : ~ big_r(Y,Y) ),
    inference(NNF_transformation,[status(esa)],[f3]) ).

fof(f5,plain,
    ( ! [U] :
        ( ~ big_r(U,U)
        | ! [V] : big_r(U,V) )
    & ! [U] :
        ( big_r(U,U)
        | ! [V] : ~ big_r(U,V) )
    & ! [W] :
        ( ~ big_r(W,W)
        | ! [Z] : big_r(Z,W) )
    & ! [W] :
        ( big_r(W,W)
        | ! [Z] : ~ big_r(Z,W) )
    & ? [X] : big_r(X,X)
    & ? [Y] : ~ big_r(Y,Y) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f6,plain,
    ( ! [U] :
        ( ~ big_r(U,U)
        | ! [V] : big_r(U,V) )
    & ! [U] :
        ( big_r(U,U)
        | ! [V] : ~ big_r(U,V) )
    & ! [W] :
        ( ~ big_r(W,W)
        | ! [Z] : big_r(Z,W) )
    & ! [W] :
        ( big_r(W,W)
        | ! [Z] : ~ big_r(Z,W) )
    & big_r(sk0_0,sk0_0)
    & ~ big_r(sk0_1,sk0_1) ),
    inference(skolemization,[status(esa)],[f5]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ big_r(X0,X0)
      | big_r(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( big_r(X0,X0)
      | ~ big_r(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ big_r(X0,X0)
      | big_r(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f11,plain,
    big_r(sk0_0,sk0_0),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f12,plain,
    ~ big_r(sk0_1,sk0_1),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f13,plain,
    ! [X0] : big_r(sk0_0,X0),
    inference(resolution,[status(thm)],[f7,f11]) ).

fof(f15,plain,
    ! [X0] : ~ big_r(sk0_1,X0),
    inference(resolution,[status(thm)],[f8,f12]) ).

fof(f17,plain,
    ! [X0] : big_r(X0,sk0_0),
    inference(resolution,[status(thm)],[f9,f13]) ).

fof(f20,plain,
    $false,
    inference(resolution,[status(thm)],[f17,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:31:03 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36  % Elapsed time: 0.019179 seconds
% 0.13/0.36  % CPU time: 0.026472 seconds
% 0.13/0.36  % Memory used: 6.999 MB
%------------------------------------------------------------------------------