%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET021-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 12:33:36 EDT 2023

% Result   : Unsatisfiable 0.16s 0.55s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   32 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   41 (;  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,cross_product(X,Y))
      | ordered_pair(first(Z),second(Z)) = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f95,axiom,
    ! [U,V,X,Y] :
      ( ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(V,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f152,axiom,
    ! [W,X,Y,Z] :
      ( ordered_pair(W,X) != ordered_pair(Y,Z)
      | ~ member(X,universal_class)
      | X = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f158,negated_conjecture,
    member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f159,negated_conjecture,
    second(ordered_pair(u,v)) != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f182,plain,
    ! [Z] :
      ( ! [X,Y] : ~ member(Z,cross_product(X,Y))
      | ordered_pair(first(Z),second(Z)) = Z ),
    inference(miniscoping,[status(esa)],[f17]) ).

fof(f183,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,cross_product(X1,X2))
      | ordered_pair(first(X0),second(X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f182]) ).

fof(f271,plain,
    ! [V] :
      ( ! [U,X,Y] : ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(V,universal_class) ),
    inference(miniscoping,[status(esa)],[f95]) ).

fof(f272,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X1,universal_class) ),
    inference(cnf_transformation,[status(esa)],[f271]) ).

fof(f343,plain,
    ! [X,Z] :
      ( ! [W,Y] : ordered_pair(W,X) != ordered_pair(Y,Z)
      | ~ member(X,universal_class)
      | X = Z ),
    inference(miniscoping,[status(esa)],[f152]) ).

fof(f344,plain,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | ~ member(X1,universal_class)
      | X1 = X3 ),
    inference(cnf_transformation,[status(esa)],[f343]) ).

fof(f350,plain,
    member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
    inference(cnf_transformation,[status(esa)],[f158]) ).

fof(f351,plain,
    second(ordered_pair(u,v)) != v,
    inference(cnf_transformation,[status(esa)],[f159]) ).

fof(f611,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(X0,universal_class)
      | X0 = second(ordered_pair(X1,X0))
      | ~ member(ordered_pair(X1,X0),cross_product(X2,X3)) ),
    inference(resolution,[status(thm)],[f344,f183]) ).

fof(f612,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = second(ordered_pair(X1,X0))
      | ~ member(ordered_pair(X1,X0),cross_product(X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f611,f272]) ).

fof(f639,plain,
    v = second(ordered_pair(u,v)),
    inference(resolution,[status(thm)],[f612,f350]) ).

fof(f640,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f639,f351]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SET021-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:21:18 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 0.16/0.55  % Refutation found
% 0.16/0.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55  % Elapsed time: 0.020437 seconds
% 0.16/0.55  % CPU time: 0.025550 seconds
% 0.16/0.55  % Memory used: 4.152 MB
%------------------------------------------------------------------------------