%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:36:21 EDT 2024

% Result   : Theorem 0.10s 0.37s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   70 (  34   ~;  26   |;  10   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   38 (  33   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [X3,X10] :
      ( ! [Y12] :
          ( ! [Y13] :
              ( ~ id(Y13,Y12)
              | ~ r2(X3,Y13) )
          | ~ r2(X10,Y12) )
      | id(X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [X7,Y10] :
      ( ! [Y20] :
          ( ~ id(Y20,Y10)
          | ~ r1(Y20) )
      | ~ r2(X7,Y10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ! [Y1] :
      ( ! [Y2] :
          ( ! [Y4] :
              ( ~ r1(Y4)
              | ~ r2(Y4,Y2) )
          | ~ id(Y2,Y1) )
      | ! [Y3] :
          ( ! [Y5] :
              ( ~ r1(Y5)
              | ~ r2(Y5,Y3) )
          | ~ r2(Y3,Y1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ! [Y1] :
        ( ! [Y2] :
            ( ! [Y4] :
                ( ~ r1(Y4)
                | ~ r2(Y4,Y2) )
            | ~ id(Y2,Y1) )
        | ! [Y3] :
            ( ! [Y5] :
                ( ~ r1(Y5)
                | ~ r2(Y5,Y3) )
            | ~ r2(Y3,Y1) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f73,plain,
    ! [X0,X1,X2,X3] :
      ( ~ id(X0,X1)
      | ~ r2(X2,X0)
      | ~ r2(X3,X1)
      | id(X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f89,plain,
    ! [Y10] :
      ( ! [Y20] :
          ( ~ id(Y20,Y10)
          | ~ r1(Y20) )
      | ! [X7] : ~ r2(X7,Y10) ),
    inference(miniscoping,[status(esa)],[f18]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ~ id(X0,X1)
      | ~ r1(X0)
      | ~ r2(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f89]) ).

fof(f91,plain,
    ? [Y1] :
      ( ? [Y2] :
          ( ? [Y4] :
              ( r1(Y4)
              & r2(Y4,Y2) )
          & id(Y2,Y1) )
      & ? [Y3] :
          ( ? [Y5] :
              ( r1(Y5)
              & r2(Y5,Y3) )
          & r2(Y3,Y1) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f92,plain,
    ( r1(sk0_22)
    & r2(sk0_22,sk0_21)
    & id(sk0_21,sk0_20)
    & r1(sk0_24)
    & r2(sk0_24,sk0_23)
    & r2(sk0_23,sk0_20) ),
    inference(skolemization,[status(esa)],[f91]) ).

fof(f93,plain,
    r1(sk0_22),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f94,plain,
    r2(sk0_22,sk0_21),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f95,plain,
    id(sk0_21,sk0_20),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f97,plain,
    r2(sk0_24,sk0_23),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f98,plain,
    r2(sk0_23,sk0_20),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ id(sk0_22,X0)
      | ~ r2(X1,X0) ),
    inference(resolution,[status(thm)],[f90,f93]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ id(sk0_21,X0)
      | ~ r2(X1,X0)
      | id(sk0_22,X1) ),
    inference(resolution,[status(thm)],[f73,f94]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ r2(X0,sk0_20)
      | id(sk0_22,X0) ),
    inference(resolution,[status(thm)],[f161,f95]) ).

fof(f209,plain,
    id(sk0_22,sk0_23),
    inference(resolution,[status(thm)],[f206,f98]) ).

fof(f210,plain,
    ! [X0] : ~ r2(X0,sk0_23),
    inference(resolution,[status(thm)],[f209,f127]) ).

fof(f212,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f97,f210]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% 0.02/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n013.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Mon Apr 29 22:33:04 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.6.0
% 0.10/0.37  % Refutation found
% 0.10/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.37  % Elapsed time: 0.017049 seconds
% 0.10/0.37  % CPU time: 0.041086 seconds
% 0.10/0.37  % Total memory used: 2.773 MB
% 0.10/0.37  % Net memory used: 2.758 MB
%------------------------------------------------------------------------------