%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 12:32:57 EDT 2023

% Result   : Theorem 0.10s 0.33s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :   95 (  27 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  114 (  45   ~;  32   |;  33   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   35 (;  21   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,hypothesis,
    ( ? [W0,W1] :
        ( aElementOf0(W0,slsdtgt0(xa))
        & aElementOf0(W1,slsdtgt0(xb))
        & sdtpldt0(W0,W1) = xu )
    & aElementOf0(xu,xI)
    & xu != sz00
    & ! [W0] :
        ( ( ( ? [W1,W2] :
                ( aElementOf0(W1,slsdtgt0(xa))
                & aElementOf0(W2,slsdtgt0(xb))
                & sdtpldt0(W1,W2) = W0 )
            | aElementOf0(W0,xI) )
          & W0 != sz00 )
       => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,conjecture,
    ? [W0,W1] :
      ( ( ? [W2] :
            ( aElement0(W2)
            & sdtasdt0(xa,W2) = W0 )
        | aElementOf0(W0,slsdtgt0(xa)) )
      & ( ? [W2] :
            ( aElement0(W2)
            & sdtasdt0(xb,W2) = W1 )
        | aElementOf0(W1,slsdtgt0(xb)) )
      & xu = sdtpldt0(W0,W1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ~ ? [W0,W1] :
        ( ( ? [W2] :
              ( aElement0(W2)
              & sdtasdt0(xa,W2) = W0 )
          | aElementOf0(W0,slsdtgt0(xa)) )
        & ( ? [W2] :
              ( aElement0(W2)
              & sdtasdt0(xb,W2) = W1 )
          | aElementOf0(W1,slsdtgt0(xb)) )
        & xu = sdtpldt0(W0,W1) ),
    inference(negated_conjecture,[status(cth)],[f47]) ).

fof(f268,plain,
    ( ? [W0,W1] :
        ( aElementOf0(W0,slsdtgt0(xa))
        & aElementOf0(W1,slsdtgt0(xb))
        & sdtpldt0(W0,W1) = xu )
    & aElementOf0(xu,xI)
    & xu != sz00
    & ! [W0] :
        ( ( ! [W1,W2] :
              ( ~ aElementOf0(W1,slsdtgt0(xa))
              | ~ aElementOf0(W2,slsdtgt0(xb))
              | sdtpldt0(W1,W2) != W0 )
          & ~ aElementOf0(W0,xI) )
        | W0 = sz00
        | ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f269,plain,
    ( aElementOf0(sk0_36,slsdtgt0(xa))
    & aElementOf0(sk0_37,slsdtgt0(xb))
    & sdtpldt0(sk0_36,sk0_37) = xu
    & aElementOf0(xu,xI)
    & xu != sz00
    & ! [W0] :
        ( ( ! [W1,W2] :
              ( ~ aElementOf0(W1,slsdtgt0(xa))
              | ~ aElementOf0(W2,slsdtgt0(xb))
              | sdtpldt0(W1,W2) != W0 )
          & ~ aElementOf0(W0,xI) )
        | W0 = sz00
        | ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
    inference(skolemization,[status(esa)],[f268]) ).

fof(f270,plain,
    aElementOf0(sk0_36,slsdtgt0(xa)),
    inference(cnf_transformation,[status(esa)],[f269]) ).

fof(f271,plain,
    aElementOf0(sk0_37,slsdtgt0(xb)),
    inference(cnf_transformation,[status(esa)],[f269]) ).

fof(f272,plain,
    sdtpldt0(sk0_36,sk0_37) = xu,
    inference(cnf_transformation,[status(esa)],[f269]) ).

fof(f283,plain,
    ! [W0,W1] :
      ( ( ! [W2] :
            ( ~ aElement0(W2)
            | sdtasdt0(xa,W2) != W0 )
        & ~ aElementOf0(W0,slsdtgt0(xa)) )
      | ( ! [W2] :
            ( ~ aElement0(W2)
            | sdtasdt0(xb,W2) != W1 )
        & ~ aElementOf0(W1,slsdtgt0(xb)) )
      | xu != sdtpldt0(W0,W1) ),
    inference(pre_NNF_transformation,[status(esa)],[f48]) ).

fof(f284,plain,
    ! [W0] :
      ( pd0_5(W0)
     => ( ! [W2] :
            ( ~ aElement0(W2)
            | sdtasdt0(xa,W2) != W0 )
        & ~ aElementOf0(W0,slsdtgt0(xa)) ) ),
    introduced(predicate_definition,[f283]) ).

fof(f285,plain,
    ! [W0,W1] :
      ( pd0_5(W0)
      | ( ! [W2] :
            ( ~ aElement0(W2)
            | sdtasdt0(xb,W2) != W1 )
        & ~ aElementOf0(W1,slsdtgt0(xb)) )
      | xu != sdtpldt0(W0,W1) ),
    inference(formula_renaming,[status(thm)],[f283,f284]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( pd0_5(X0)
      | ~ aElementOf0(X1,slsdtgt0(xb))
      | xu != sdtpldt0(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f285]) ).

fof(f311,plain,
    ! [W0] :
      ( ~ pd0_5(W0)
      | ( ! [W2] :
            ( ~ aElement0(W2)
            | sdtasdt0(xa,W2) != W0 )
        & ~ aElementOf0(W0,slsdtgt0(xa)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f284]) ).

fof(f313,plain,
    ! [X0] :
      ( ~ pd0_5(X0)
      | ~ aElementOf0(X0,slsdtgt0(xa)) ),
    inference(cnf_transformation,[status(esa)],[f311]) ).

fof(f692,plain,
    ~ pd0_5(sk0_36),
    inference(resolution,[status(thm)],[f270,f313]) ).

fof(f693,plain,
    ( spl0_70
  <=> pd0_5(sk0_36) ),
    introduced(split_symbol_definition) ).

fof(f694,plain,
    ( pd0_5(sk0_36)
    | ~ spl0_70 ),
    inference(component_clause,[status(thm)],[f693]) ).

fof(f696,plain,
    ( spl0_71
  <=> aElementOf0(sk0_37,slsdtgt0(xb)) ),
    introduced(split_symbol_definition) ).

fof(f698,plain,
    ( ~ aElementOf0(sk0_37,slsdtgt0(xb))
    | spl0_71 ),
    inference(component_clause,[status(thm)],[f696]) ).

fof(f699,plain,
    ( pd0_5(sk0_36)
    | ~ aElementOf0(sk0_37,slsdtgt0(xb)) ),
    inference(resolution,[status(thm)],[f272,f287]) ).

fof(f700,plain,
    ( spl0_70
    | ~ spl0_71 ),
    inference(split_clause,[status(thm)],[f699,f693,f696]) ).

fof(f719,plain,
    ( $false
    | spl0_71 ),
    inference(forward_subsumption_resolution,[status(thm)],[f698,f271]) ).

fof(f720,plain,
    spl0_71,
    inference(contradiction_clause,[status(thm)],[f719]) ).

fof(f721,plain,
    ( $false
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[status(thm)],[f694,f692]) ).

fof(f722,plain,
    ~ spl0_70,
    inference(contradiction_clause,[status(thm)],[f721]) ).

fof(f723,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f700,f720,f722]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:29:22 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.32  % Drodi V3.5.1
% 0.10/0.33  % Refutation found
% 0.10/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.57  % Elapsed time: 0.018595 seconds
% 0.16/0.57  % CPU time: 0.020723 seconds
% 0.16/0.57  % Memory used: 4.229 MB
%------------------------------------------------------------------------------