%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 12:19:50 EDT 2023

% Result   : Theorem 0.11s 0.33s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives :  109 (  48   ~;  39   |;  22   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   32 (;  25   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ? [X] :
        ~ ( ~ ! [Y] :
                ( ~ r1(X,Y)
                | p6(Y) )
          | ~ ! [Y] :
                ( ~ r1(X,Y)
                | p2(Y) )
          | ~ ! [Y] :
                ( ~ r1(X,Y)
                | p4(Y) )
          | ~ ! [Y] :
                ( ~ r1(X,Y)
                | p2(Y) )
          | ! [Y] :
              ( ~ r1(X,Y)
              | p5(Y) )
          | ! [Y] :
              ( ~ r1(X,Y)
              | p3(Y) )
          | ! [Y] :
              ( ~ r1(X,Y)
              | p2(Y) )
          | ! [Y] :
              ( ~ r1(X,Y)
              | p1(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ~ ? [X] :
          ~ ( ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p6(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p2(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p4(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p2(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p5(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p3(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p2(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p1(Y) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [X] :
      ( ! [Y] :
          ( ~ r1(X,Y)
          | p6(Y) )
      & ! [Y] :
          ( ~ r1(X,Y)
          | p2(Y) )
      & ! [Y] :
          ( ~ r1(X,Y)
          | p4(Y) )
      & ! [Y] :
          ( ~ r1(X,Y)
          | p2(Y) )
      & ? [Y] :
          ( r1(X,Y)
          & ~ p5(Y) )
      & ? [Y] :
          ( r1(X,Y)
          & ~ p3(Y) )
      & ? [Y] :
          ( r1(X,Y)
          & ~ p2(Y) )
      & ? [Y] :
          ( r1(X,Y)
          & ~ p1(Y) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [Y] :
        ( ~ r1(sk0_0,Y)
        | p6(Y) )
    & ! [Y] :
        ( ~ r1(sk0_0,Y)
        | p2(Y) )
    & ! [Y] :
        ( ~ r1(sk0_0,Y)
        | p4(Y) )
    & ! [Y] :
        ( ~ r1(sk0_0,Y)
        | p2(Y) )
    & r1(sk0_0,sk0_1)
    & ~ p5(sk0_1)
    & r1(sk0_0,sk0_2)
    & ~ p3(sk0_2)
    & r1(sk0_0,sk0_3)
    & ~ p2(sk0_3)
    & r1(sk0_0,sk0_4)
    & ~ p1(sk0_4) ),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | p2(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f13,plain,
    r1(sk0_0,sk0_3),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    ~ p2(sk0_3),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f17,plain,
    ~ r1(sk0_0,sk0_3),
    inference(resolution,[status(thm)],[f6,f14]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue May 30 09:58:28 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  % Drodi V3.5.1
% 0.11/0.33  % Refutation found
% 0.11/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.55  % Elapsed time: 0.014154 seconds
% 0.17/0.55  % CPU time: 0.011838 seconds
% 0.17/0.55  % Memory used: 1.781 MB
%------------------------------------------------------------------------------