%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 12:29:17 EDT 2023

% Result   : Theorem 0.14s 0.31s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (   8 unt;   1 def)
%            Number of atoms       :   74 (   7 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   80 (  33   ~;  31   |;  10   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (;  23   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => aNaturalNumber0(sdtpldt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,definition,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => ( sdtlseqdt0(W0,W1)
      <=> ? [W2] :
            ( aNaturalNumber0(W2)
            & sdtpldt0(W0,W2) = W1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,hypothesis,
    ( aNaturalNumber0(xl)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,conjecture,
    sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,negated_conjecture,
    ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    inference(negated_conjecture,[status(cth)],[f39]) ).

fof(f47,plain,
    ! [W0,W1] :
      ( ~ aNaturalNumber0(W0)
      | ~ aNaturalNumber0(W1)
      | aNaturalNumber0(sdtpldt0(W0,W1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | aNaturalNumber0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f82,plain,
    ! [W0,W1] :
      ( ~ aNaturalNumber0(W0)
      | ~ aNaturalNumber0(W1)
      | ( sdtlseqdt0(W0,W1)
      <=> ? [W2] :
            ( aNaturalNumber0(W2)
            & sdtpldt0(W0,W2) = W1 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f18]) ).

fof(f83,plain,
    ! [W0,W1] :
      ( ~ aNaturalNumber0(W0)
      | ~ aNaturalNumber0(W1)
      | ( ( ~ sdtlseqdt0(W0,W1)
          | ? [W2] :
              ( aNaturalNumber0(W2)
              & sdtpldt0(W0,W2) = W1 ) )
        & ( sdtlseqdt0(W0,W1)
          | ! [W2] :
              ( ~ aNaturalNumber0(W2)
              | sdtpldt0(W0,W2) != W1 ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f82]) ).

fof(f84,plain,
    ! [W0,W1] :
      ( ~ aNaturalNumber0(W0)
      | ~ aNaturalNumber0(W1)
      | ( ( ~ sdtlseqdt0(W0,W1)
          | ( aNaturalNumber0(sk0_0(W1,W0))
            & sdtpldt0(W0,sk0_0(W1,W0)) = W1 ) )
        & ( sdtlseqdt0(W0,W1)
          | ! [W2] :
              ( ~ aNaturalNumber0(W2)
              | sdtpldt0(W0,W2) != W1 ) ) ) ),
    inference(skolemization,[status(esa)],[f83]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | sdtpldt0(X0,X2) != X1 ),
    inference(cnf_transformation,[status(esa)],[f84]) ).

fof(f139,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f140,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f146,plain,
    ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtpldt0(X0,X1))
      | sdtlseqdt0(X0,sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f87]) ).

fof(f160,plain,
    ( spl0_1
  <=> aNaturalNumber0(xm) ),
    introduced(split_symbol_definition) ).

fof(f162,plain,
    ( ~ aNaturalNumber0(xm)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f160]) ).

fof(f168,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f162,f139]) ).

fof(f169,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f168]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | sdtlseqdt0(X0,sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f147,f48]) ).

fof(f181,plain,
    ( spl0_5
  <=> aNaturalNumber0(xn) ),
    introduced(split_symbol_definition) ).

fof(f183,plain,
    ( ~ aNaturalNumber0(xn)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f181]) ).

fof(f184,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn) ),
    inference(resolution,[status(thm)],[f180,f146]) ).

fof(f185,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f184,f160,f181]) ).

fof(f189,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f183,f140]) ).

fof(f190,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f189]) ).

fof(f191,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f169,f185,f190]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n016.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 10:27:14 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.14/0.31  % Drodi V3.5.1
% 0.14/0.31  % Refutation found
% 0.14/0.31  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.31  % Elapsed time: 0.011897 seconds
% 0.14/0.31  % CPU time: 0.013130 seconds
% 0.14/0.31  % Memory used: 3.733 MB
%------------------------------------------------------------------------------