%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET075-7 : 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 : Tue Apr 30 20:39:00 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f92,axiom,
    ! [X,Y,U,V] :
      ( ~ member(ordered_pair(X,Y),cross_product(U,V))
      | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f103,axiom,
    ! [Z] : ~ member(Z,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f116,negated_conjecture,
    member(ordered_pair(x,y),cross_product(u,v)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f117,negated_conjecture,
    unordered_pair(x,y) = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f223,plain,
    ! [X,Y] :
      ( ! [U,V] : ~ member(ordered_pair(X,Y),cross_product(U,V))
      | member(X,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f92]) ).

fof(f224,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X0,unordered_pair(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f223]) ).

fof(f239,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[status(esa)],[f103]) ).

fof(f257,plain,
    member(ordered_pair(x,y),cross_product(u,v)),
    inference(cnf_transformation,[status(esa)],[f116]) ).

fof(f258,plain,
    unordered_pair(x,y) = null_class,
    inference(cnf_transformation,[status(esa)],[f117]) ).

fof(f300,plain,
    member(x,unordered_pair(x,y)),
    inference(resolution,[status(thm)],[f224,f257]) ).

fof(f301,plain,
    member(x,null_class),
    inference(forward_demodulation,[status(thm)],[f258,f300]) ).

fof(f302,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f301,f239]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET075-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 21:36:56 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.024038 seconds
% 0.13/0.37  % CPU time: 0.035678 seconds
% 0.13/0.37  % Total memory used: 13.566 MB
% 0.13/0.37  % Net memory used: 13.556 MB
%------------------------------------------------------------------------------