%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : RNG125+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 12:32:59 EDT 2023

% Result   : Theorem 0.07s 0.29s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (   5 unt;   0 def)
%            Number of atoms       :   70 (  11 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   79 (  34   ~;  20   |;  21   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (;   5   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,hypothesis,
    ~ ( ( ? [W0] :
            ( aElement0(W0)
            & sdtasdt0(xu,W0) = xa )
        | doDivides0(xu,xa)
        | aDivisorOf0(xu,xa) )
      & ( ? [W0] :
            ( aElement0(W0)
            & sdtasdt0(xu,W0) = xb )
        | doDivides0(xu,xb)
        | aDivisorOf0(xu,xb) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,hypothesis,
    ~ ~ ( ? [W0] :
            ( aElement0(W0)
            & sdtasdt0(xu,W0) = xa )
        & doDivides0(xu,xa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,hypothesis,
    ~ ~ ( ? [W0] :
            ( aElement0(W0)
            & sdtasdt0(xu,W0) = xb )
        & doDivides0(xu,xb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f280,plain,
    ( ( ! [W0] :
          ( ~ aElement0(W0)
          | sdtasdt0(xu,W0) != xa )
      & ~ doDivides0(xu,xa)
      & ~ aDivisorOf0(xu,xa) )
    | ( ! [W0] :
          ( ~ aElement0(W0)
          | sdtasdt0(xu,W0) != xb )
      & ~ doDivides0(xu,xb)
      & ~ aDivisorOf0(xu,xb) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f46]) ).

fof(f281,plain,
    ( pd0_4
   => ( ! [W0] :
          ( ~ aElement0(W0)
          | sdtasdt0(xu,W0) != xa )
      & ~ doDivides0(xu,xa)
      & ~ aDivisorOf0(xu,xa) ) ),
    introduced(predicate_definition,[f280]) ).

fof(f282,plain,
    ( pd0_4
    | ( ! [W0] :
          ( ~ aElement0(W0)
          | sdtasdt0(xu,W0) != xb )
      & ~ doDivides0(xu,xb)
      & ~ aDivisorOf0(xu,xb) ) ),
    inference(formula_renaming,[status(thm)],[f280,f281]) ).

fof(f284,plain,
    ( pd0_4
    | ~ doDivides0(xu,xb) ),
    inference(cnf_transformation,[status(esa)],[f282]) ).

fof(f290,plain,
    ( aElement0(sk0_40)
    & sdtasdt0(xu,sk0_40) = xa
    & doDivides0(xu,xa) ),
    inference(skolemization,[status(esa)],[f48]) ).

fof(f293,plain,
    doDivides0(xu,xa),
    inference(cnf_transformation,[status(esa)],[f290]) ).

fof(f294,plain,
    ( aElement0(sk0_41)
    & sdtasdt0(xu,sk0_41) = xb
    & doDivides0(xu,xb) ),
    inference(skolemization,[status(esa)],[f49]) ).

fof(f297,plain,
    doDivides0(xu,xb),
    inference(cnf_transformation,[status(esa)],[f294]) ).

fof(f317,plain,
    ( ~ pd0_4
    | ( ! [W0] :
          ( ~ aElement0(W0)
          | sdtasdt0(xu,W0) != xa )
      & ~ doDivides0(xu,xa)
      & ~ aDivisorOf0(xu,xa) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f281]) ).

fof(f319,plain,
    ( ~ pd0_4
    | ~ doDivides0(xu,xa) ),
    inference(cnf_transformation,[status(esa)],[f317]) ).

fof(f332,plain,
    ( spl0_2
  <=> pd0_4 ),
    introduced(split_symbol_definition) ).

fof(f339,plain,
    ( spl0_4
  <=> doDivides0(xu,xb) ),
    introduced(split_symbol_definition) ).

fof(f341,plain,
    ( ~ doDivides0(xu,xb)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f339]) ).

fof(f342,plain,
    ( spl0_2
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f284,f332,f339]) ).

fof(f351,plain,
    ( spl0_7
  <=> doDivides0(xu,xa) ),
    introduced(split_symbol_definition) ).

fof(f353,plain,
    ( ~ doDivides0(xu,xa)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f351]) ).

fof(f354,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f319,f332,f351]) ).

fof(f379,plain,
    ( $false
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f353,f293]) ).

fof(f380,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f379]) ).

fof(f381,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f341,f297]) ).

fof(f382,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f381]) ).

fof(f383,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f342,f354,f380,f382]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : RNG125+4 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n018.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 10:44:55 EDT 2023
% 0.07/0.27  % CPUTime  : 
% 0.07/0.27  % Drodi V3.5.1
% 0.07/0.29  % Refutation found
% 0.07/0.29  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.29  % Elapsed time: 0.017147 seconds
% 0.07/0.29  % CPU time: 0.025632 seconds
% 0.07/0.29  % Memory used: 15.864 MB
%------------------------------------------------------------------------------