%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET231-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 12:34:18 EDT 2023

% Result   : Unsatisfiable 0.16s 0.59s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   17 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (;  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y] :
      ( member(not_subclass_element(X,Y),X)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,cross_product(X,Y))
      | ordered_pair(first(Z),second(Z)) = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    ~ subclass(cross_product(x,y),z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f117,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f137,plain,
    ! [Z] :
      ( ! [X,Y] : ~ member(Z,cross_product(X,Y))
      | ordered_pair(first(Z),second(Z)) = Z ),
    inference(miniscoping,[status(esa)],[f17]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,cross_product(X1,X2))
      | ordered_pair(first(X0),second(X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f246,plain,
    ~ subclass(cross_product(x,y),z),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f247,plain,
    ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f257,plain,
    ! [X0,X1] : ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1)),
    inference(resolution,[status(thm)],[f138,f247]) ).

fof(f266,plain,
    subclass(cross_product(x,y),z),
    inference(resolution,[status(thm)],[f257,f117]) ).

fof(f267,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f266,f246]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET231-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n023.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue May 30 10:33:08 EDT 2023
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.5.1
% 0.16/0.59  % Refutation found
% 0.16/0.59  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.59  % Elapsed time: 0.041003 seconds
% 0.16/0.59  % CPU time: 0.016348 seconds
% 0.16/0.59  % Memory used: 3.847 MB
%------------------------------------------------------------------------------