%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 12:29:13 EDT 2023

% Result   : Theorem 0.16s 0.55s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   26 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (   9   ~;   6   |;   5   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (;   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [W0] :
      ( aNaturalNumber0(W0)
     => ( sdtpldt0(W0,sz00) = W0
        & W0 = sdtpldt0(sz00,W0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,conjecture,
    ( ? [W0] :
        ( aNaturalNumber0(W0)
        & sdtpldt0(xm,W0) = xm )
    | sdtlseqdt0(xm,xm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ~ ( ? [W0] :
          ( aNaturalNumber0(W0)
          & sdtpldt0(xm,W0) = xm )
      | sdtlseqdt0(xm,xm) ),
    inference(negated_conjecture,[status(cth)],[f21]) ).

fof(f26,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f37,plain,
    ! [W0] :
      ( ~ aNaturalNumber0(W0)
      | ( sdtpldt0(W0,sz00) = W0
        & W0 = sdtpldt0(sz00,W0) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(X0,sz00) = X0 ),
    inference(cnf_transformation,[status(esa)],[f37]) ).

fof(f76,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f77,plain,
    ( ! [W0] :
        ( ~ aNaturalNumber0(W0)
        | sdtpldt0(xm,W0) != xm )
    & ~ sdtlseqdt0(xm,xm) ),
    inference(pre_NNF_transformation,[status(esa)],[f22]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(xm,X0) != xm ),
    inference(cnf_transformation,[status(esa)],[f77]) ).

fof(f171,plain,
    sdtpldt0(xm,sz00) != xm,
    inference(resolution,[status(thm)],[f26,f78]) ).

fof(f218,plain,
    sdtpldt0(xm,sz00) = xm,
    inference(resolution,[status(thm)],[f38,f76]) ).

fof(f219,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f218,f171]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n002.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 10:06:12 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.31  % Drodi V3.5.1
% 0.16/0.55  % Refutation found
% 0.16/0.55  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55  % Elapsed time: 0.012648 seconds
% 0.16/0.55  % CPU time: 0.014186 seconds
% 0.16/0.55  % Memory used: 2.973 MB
%------------------------------------------------------------------------------