%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:29:29 EDT 2023

% Result   : Theorem 0.17s 0.41s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   28 (  12 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   27 (   9   ~;   5   |;  11   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (;   3   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f55,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xk,xr))
    & xk = sdtasdt0(xr,sdtsldt0(xk,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,conjecture,
    ( ( aNaturalNumber0(sdtsldt0(xn,xr))
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
   => ( ? [W0] :
          ( aNaturalNumber0(W0)
          & sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,W0) )
      | doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,negated_conjecture,
    ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
        & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
     => ( ? [W0] :
            ( aNaturalNumber0(W0)
            & sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,W0) )
        | doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f271,plain,
    aNaturalNumber0(sdtsldt0(xk,xr)),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f275,plain,
    sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f276,plain,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & ! [W0] :
        ( ~ aNaturalNumber0(W0)
        | sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,W0) )
    & ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    inference(pre_NNF_transformation,[status(esa)],[f57]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X0) ),
    inference(cnf_transformation,[status(esa)],[f276]) ).

fof(f349,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(xp,X0) ),
    inference(forward_demodulation,[status(thm)],[f275,f279]) ).

fof(f352,plain,
    ~ aNaturalNumber0(sdtsldt0(xk,xr)),
    inference(equality_resolution,[status(esa)],[f349]) ).

fof(f353,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f352,f271]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue May 30 09:56:57 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  % Drodi V3.5.1
% 0.17/0.41  % Refutation found
% 0.17/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.41/0.64  % Elapsed time: 0.099347 seconds
% 0.41/0.64  % CPU time: 0.219705 seconds
% 0.41/0.64  % Memory used: 27.630 MB
%------------------------------------------------------------------------------