%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : RNG124+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Wed May 31 12:32:59 EDT 2023

% Result   : Theorem 0.19s 0.45s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   51 (  13 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   47 (  19   ~;  16   |;   8   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (;   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,hypothesis,
    ( aElementOf0(xu,xI)
    & xu != sz00
    & ! [W0] :
        ( ( aElementOf0(W0,xI)
          & W0 != sz00 )
       => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,hypothesis,
    ( aElement0(xq)
    & aElement0(xr)
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & ( xr = sz00
      | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f51,hypothesis,
    xr != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55,hypothesis,
    aElementOf0(xr,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f223,plain,
    ( aElementOf0(xu,xI)
    & xu != sz00
    & ! [W0] :
        ( ~ aElementOf0(W0,xI)
        | W0 = sz00
        | ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xI)
      | X0 = sz00
      | ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ),
    inference(cnf_transformation,[status(esa)],[f223]) ).

fof(f238,plain,
    ( xr = sz00
    | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f239,plain,
    xr != sz00,
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f243,plain,
    aElementOf0(xr,xI),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f271,plain,
    ( spl0_4
  <=> xr = sz00 ),
    introduced(split_symbol_definition) ).

fof(f272,plain,
    ( xr = sz00
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f271]) ).

fof(f274,plain,
    ( spl0_5
  <=> iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    introduced(split_symbol_definition) ).

fof(f275,plain,
    ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f274]) ).

fof(f277,plain,
    ( spl0_4
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f238,f271,f274]) ).

fof(f293,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f272,f239]) ).

fof(f294,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f293]) ).

fof(f476,plain,
    ( spl0_33
  <=> aElementOf0(xr,xI) ),
    introduced(split_symbol_definition) ).

fof(f478,plain,
    ( ~ aElementOf0(xr,xI)
    | spl0_33 ),
    inference(component_clause,[status(thm)],[f476]) ).

fof(f479,plain,
    ( ~ aElementOf0(xr,xI)
    | xr = sz00
    | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f226,f275]) ).

fof(f480,plain,
    ( ~ spl0_33
    | spl0_4
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f479,f476,f271,f274]) ).

fof(f481,plain,
    ( $false
    | spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f478,f243]) ).

fof(f482,plain,
    spl0_33,
    inference(contradiction_clause,[status(thm)],[f481]) ).

fof(f483,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f277,f294,f480,f482]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG124+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:31:50 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V3.5.1
% 0.19/0.45  % Refutation found
% 0.19/0.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.45  % Elapsed time: 0.096246 seconds
% 0.19/0.45  % CPU time: 0.041844 seconds
% 0.19/0.45  % Memory used: 4.108 MB
%------------------------------------------------------------------------------