%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : FLD021-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 12:06:53 EDT 2023

% Result   : Unsatisfiable 0.17s 0.57s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   45 (  24   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   34 (;  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,V,W,Y,U,Z] :
      ( sum(X,V,W)
      | ~ sum(X,Y,U)
      | ~ sum(Y,Z,V)
      | ~ sum(U,Z,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( sum(additive_identity,X,X)
      | ~ defined(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [Y,X,Z] :
      ( sum(Y,X,Z)
      | ~ sum(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    sum(additive_identity,m,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ~ sum(m,a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,plain,
    ! [W,U,Z] :
      ( ! [V,Y] :
          ( ! [X] :
              ( sum(X,V,W)
              | ~ sum(X,Y,U) )
          | ~ sum(Y,Z,V) )
      | ~ sum(U,Z,W) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ sum(X0,X3,X4)
      | ~ sum(X3,X5,X1)
      | ~ sum(X4,X5,X2) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f35,plain,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,X2)
      | ~ sum(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f70,plain,
    defined(a),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f72,plain,
    sum(additive_identity,m,additive_identity),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f73,plain,
    ~ sum(m,a,a),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f78,plain,
    ! [X0,X1,X2,X3] :
      ( ~ defined(X0)
      | sum(X1,X2,X0)
      | ~ sum(X1,X3,additive_identity)
      | ~ sum(X3,X0,X2) ),
    inference(resolution,[status(thm)],[f35,f32]) ).

fof(f81,plain,
    sum(m,additive_identity,additive_identity),
    inference(resolution,[status(thm)],[f37,f72]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ defined(X0)
      | sum(m,X1,X0)
      | ~ sum(additive_identity,X0,X1) ),
    inference(resolution,[status(thm)],[f78,f81]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ defined(X0)
      | sum(m,X0,X0)
      | ~ defined(X0) ),
    inference(resolution,[status(thm)],[f121,f35]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ defined(X0)
      | sum(m,X0,X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f133]) ).

fof(f150,plain,
    ~ defined(a),
    inference(resolution,[status(thm)],[f134,f73]) ).

fof(f151,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f150,f70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : FLD021-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n004.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 10:54:37 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Drodi V3.5.1
% 0.17/0.57  % Refutation found
% 0.17/0.57  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.57  % Elapsed time: 0.033344 seconds
% 0.17/0.57  % CPU time: 0.019908 seconds
% 0.17/0.57  % Memory used: 658.658 KB
%------------------------------------------------------------------------------