%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 12:29:44 EDT 2023

% Result   : Theorem 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (   7 unt;   0 def)
%            Number of atoms       :   61 (  19 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (  22   ~;  24   |;   5   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   11 (;   7   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ( W0 = sz00
        | ? [W1] :
            ( aElementOf0(W1,szNzAzT0)
            & W0 = szszuzczcdt0(W1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f74,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f78,hypothesis,
    xK != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f80,conjecture,
    ? [W0] :
      ( aElementOf0(W0,szNzAzT0)
      & szszuzczcdt0(W0) = xK ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f81,negated_conjecture,
    ~ ? [W0] :
        ( aElementOf0(W0,szNzAzT0)
        & szszuzczcdt0(W0) = xK ),
    inference(negated_conjecture,[status(cth)],[f80]) ).

fof(f166,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,szNzAzT0)
      | W0 = sz00
      | ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & W0 = szszuzczcdt0(W1) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f27]) ).

fof(f167,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,szNzAzT0)
      | W0 = sz00
      | ( aElementOf0(sk0_4(W0),szNzAzT0)
        & W0 = szszuzczcdt0(sk0_4(W0)) ) ),
    inference(skolemization,[status(esa)],[f166]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | X0 = sz00
      | aElementOf0(sk0_4(X0),szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f167]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | X0 = sz00
      | X0 = szszuzczcdt0(sk0_4(X0)) ),
    inference(cnf_transformation,[status(esa)],[f167]) ).

fof(f340,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f74]) ).

fof(f374,plain,
    xK != sz00,
    inference(cnf_transformation,[status(esa)],[f78]) ).

fof(f376,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,szNzAzT0)
      | szszuzczcdt0(W0) != xK ),
    inference(pre_NNF_transformation,[status(esa)],[f81]) ).

fof(f377,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | szszuzczcdt0(X0) != xK ),
    inference(cnf_transformation,[status(esa)],[f376]) ).

fof(f1080,plain,
    ( spl0_85
  <=> aElementOf0(xK,szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f1082,plain,
    ( ~ aElementOf0(xK,szNzAzT0)
    | spl0_85 ),
    inference(component_clause,[status(thm)],[f1080]) ).

fof(f1091,plain,
    ( spl0_87
  <=> xK = sz00 ),
    introduced(split_symbol_definition) ).

fof(f1092,plain,
    ( xK = sz00
    | ~ spl0_87 ),
    inference(component_clause,[status(thm)],[f1091]) ).

fof(f1106,plain,
    ( $false
    | spl0_85 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1082,f340]) ).

fof(f1107,plain,
    spl0_85,
    inference(contradiction_clause,[status(thm)],[f1106]) ).

fof(f1647,plain,
    ( spl0_156
  <=> aElementOf0(sk0_4(xK),szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f1649,plain,
    ( ~ aElementOf0(sk0_4(xK),szNzAzT0)
    | spl0_156 ),
    inference(component_clause,[status(thm)],[f1647]) ).

fof(f1650,plain,
    ( ~ aElementOf0(xK,szNzAzT0)
    | xK = sz00
    | ~ aElementOf0(sk0_4(xK),szNzAzT0) ),
    inference(resolution,[status(thm)],[f169,f377]) ).

fof(f1651,plain,
    ( ~ spl0_85
    | spl0_87
    | ~ spl0_156 ),
    inference(split_clause,[status(thm)],[f1650,f1080,f1091,f1647]) ).

fof(f1825,plain,
    ( $false
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1092,f374]) ).

fof(f1826,plain,
    ~ spl0_87,
    inference(contradiction_clause,[status(thm)],[f1825]) ).

fof(f2241,plain,
    ( ~ aElementOf0(xK,szNzAzT0)
    | xK = sz00
    | spl0_156 ),
    inference(resolution,[status(thm)],[f1649,f168]) ).

fof(f2242,plain,
    ( ~ spl0_85
    | spl0_87
    | spl0_156 ),
    inference(split_clause,[status(thm)],[f2241,f1080,f1091,f1647]) ).

fof(f2243,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1107,f1651,f1826,f2242]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27  % Computer : n009.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Tue May 30 09:54:46 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.08/0.28  % Drodi V3.5.1
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35  % Elapsed time: 0.076215 seconds
% 0.11/0.35  % CPU time: 0.462117 seconds
% 0.11/0.35  % Memory used: 56.083 MB
%------------------------------------------------------------------------------