%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET252-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:39:29 EDT 2024

% Result   : Unsatisfiable 0.20s 0.43s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   26 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   8   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   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;   3 con; 0-3 aty)
%            Number of variables   :   37 (  37   !;   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(f3,axiom,
    ! [X,Y] :
      ( ~ member(not_subclass_element(X,Y),Y)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [Xr,X,Y] : intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f116,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f141,plain,
    ! [Z,X] :
      ( ! [Y] : ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    inference(miniscoping,[status(esa)],[f21]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f150,plain,
    ! [X0,X1,X2] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f245,plain,
    ~ subclass(restrict(x,y,z),x),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f280,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(X0,restrict(X1,X2,X3))
      | member(X0,X1) ),
    inference(paramodulation,[status(thm)],[f150,f142]) ).

fof(f321,plain,
    ! [X0,X1,X2,X3] :
      ( member(not_subclass_element(restrict(X0,X1,X2),X3),X0)
      | subclass(restrict(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f280,f116]) ).

fof(f354,plain,
    ! [X0,X1,X2] :
      ( subclass(restrict(X0,X1,X2),X0)
      | subclass(restrict(X0,X1,X2),X0) ),
    inference(resolution,[status(thm)],[f321,f117]) ).

fof(f355,plain,
    ! [X0,X1,X2] : subclass(restrict(X0,X1,X2),X0),
    inference(duplicate_literals_removal,[status(esa)],[f354]) ).

fof(f366,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f245,f355]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET252-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 21:19:57 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.20/0.43  % Refutation found
% 0.20/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44  % Elapsed time: 0.084028 seconds
% 0.20/0.44  % CPU time: 0.537800 seconds
% 0.20/0.44  % Total memory used: 68.732 MB
% 0.20/0.44  % Net memory used: 68.292 MB
%------------------------------------------------------------------------------