%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% 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 : n009.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 12:34:20 EDT 2023

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% 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(f291,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(X0,restrict(X1,X2,X3))
      | member(X0,X1) ),
    inference(paramodulation,[status(thm)],[f150,f142]) ).

fof(f362,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)],[f291,f116]) ).

fof(f384,plain,
    ! [X0,X1,X2] :
      ( subclass(restrict(X0,X1,X2),X0)
      | subclass(restrict(X0,X1,X2),X0) ),
    inference(resolution,[status(thm)],[f362,f117]) ).

fof(f385,plain,
    ! [X0,X1,X2] : subclass(restrict(X0,X1,X2),X0),
    inference(duplicate_literals_removal,[status(esa)],[f384]) ).

fof(f394,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f245,f385]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET252-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:07:46 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.19/0.50  % Refutation found
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.50  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.51  % Elapsed time: 0.163503 seconds
% 0.19/0.51  % CPU time: 1.160222 seconds
% 0.19/0.51  % Memory used: 68.607 MB
%------------------------------------------------------------------------------