%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 12:29:05 EDT 2023

% Result   : Theorem 0.14s 0.57s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   28 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (  11   ~;   8   |;   5   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    7 (;   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [W0] :
      ( aInteger0(W0)
     => aInteger0(smndt0(W0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,hypothesis,
    ( aInteger0(xn)
    & sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,hypothesis,
    sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,conjecture,
    ( ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xa)) )
    | aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
    | sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ~ ( ? [W0] :
          ( aInteger0(W0)
          & sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xa)) )
      | aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
      | sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

fof(f32,plain,
    ! [W0] :
      ( ~ aInteger0(W0)
      | aInteger0(smndt0(W0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f90,plain,
    aInteger0(xn),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f92,plain,
    sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f93,plain,
    ( ! [W0] :
        ( ~ aInteger0(W0)
        | sdtasdt0(xq,W0) != sdtpldt0(xb,smndt0(xa)) )
    & ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
    & ~ sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
    inference(pre_NNF_transformation,[status(esa)],[f26]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa)) ),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f391,plain,
    ~ aInteger0(smndt0(xn)),
    inference(resolution,[status(thm)],[f92,f94]) ).

fof(f441,plain,
    ~ aInteger0(xn),
    inference(resolution,[status(thm)],[f391,f33]) ).

fof(f442,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f441,f90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n011.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 09:58:12 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Drodi V3.5.1
% 0.14/0.57  % Refutation found
% 0.14/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.57  % Elapsed time: 0.033044 seconds
% 0.14/0.57  % CPU time: 0.020491 seconds
% 0.14/0.57  % Memory used: 3.941 MB
%------------------------------------------------------------------------------