%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : FLD055-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 : Tue Apr 30 20:16:31 EDT 2024

% Result   : Unsatisfiable 0.14s 0.32s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  12 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  25   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

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

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

fof(f24,axiom,
    ! [U,V,X,Y,Z] :
      ( less_or_equal(U,V)
      | ~ less_or_equal(X,Y)
      | ~ sum(X,Z,U)
      | ~ sum(Y,Z,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f30,negated_conjecture,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    sum(additive_identity,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ~ less_or_equal(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,plain,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,X2)
      | ~ sum(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f68,plain,
    ! [V,Y,Z] :
      ( ! [U,X] :
          ( less_or_equal(U,V)
          | ~ less_or_equal(X,Y)
          | ~ sum(X,Z,U) )
      | ~ sum(Y,Z,V) ),
    inference(miniscoping,[status(esa)],[f24]) ).

fof(f69,plain,
    ! [X0,X1,X2,X3,X4] :
      ( less_or_equal(X0,X1)
      | ~ less_or_equal(X2,X3)
      | ~ sum(X2,X4,X0)
      | ~ sum(X3,X4,X1) ),
    inference(cnf_transformation,[status(esa)],[f68]) ).

fof(f72,plain,
    defined(a),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f75,plain,
    less_or_equal(a,b),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f76,plain,
    sum(additive_identity,b,c),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f77,plain,
    ~ less_or_equal(a,c),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ~ less_or_equal(X0,X1)
      | ~ sum(X0,X2,a)
      | ~ sum(X1,X2,c) ),
    inference(resolution,[status(thm)],[f69,f77]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ sum(a,X0,a)
      | ~ sum(b,X0,c) ),
    inference(resolution,[status(thm)],[f94,f75]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ sum(a,X0,a)
      | ~ sum(X0,b,c) ),
    inference(resolution,[status(thm)],[f95,f39]) ).

fof(f131,plain,
    ~ sum(a,additive_identity,a),
    inference(resolution,[status(thm)],[f108,f76]) ).

fof(f136,plain,
    ~ sum(additive_identity,a,a),
    inference(resolution,[status(thm)],[f131,f39]) ).

fof(f138,plain,
    ~ defined(a),
    inference(resolution,[status(thm)],[f136,f37]) ).

fof(f139,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f138,f72]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : FLD055-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n021.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 : Mon Apr 29 23:21:10 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.6.0
% 0.14/0.32  % Refutation found
% 0.14/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32  % Elapsed time: 0.017698 seconds
% 0.14/0.32  % CPU time: 0.062294 seconds
% 0.14/0.32  % Total memory used: 3.061 MB
% 0.14/0.32  % Net memory used: 2.959 MB
%------------------------------------------------------------------------------