%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET016-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:38:40 EDT 2024

% Result   : Unsatisfiable 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f151,axiom,
    ! [W,X,Y,Z] :
      ( ordered_pair(W,X) != ordered_pair(Y,Z)
      | ~ member(W,universal_class)
      | W = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f166,negated_conjecture,
    ordered_pair(w,x) = ordered_pair(y,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f167,negated_conjecture,
    member(w,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f168,negated_conjecture,
    w != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f350,plain,
    ! [W,Y] :
      ( ! [X,Z] : ordered_pair(W,X) != ordered_pair(Y,Z)
      | ~ member(W,universal_class)
      | W = Y ),
    inference(miniscoping,[status(esa)],[f151]) ).

fof(f351,plain,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | ~ member(X0,universal_class)
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f350]) ).

fof(f367,plain,
    ordered_pair(w,x) = ordered_pair(y,z),
    inference(cnf_transformation,[status(esa)],[f166]) ).

fof(f368,plain,
    member(w,universal_class),
    inference(cnf_transformation,[status(esa)],[f167]) ).

fof(f369,plain,
    w != y,
    inference(cnf_transformation,[status(esa)],[f168]) ).

fof(f375,plain,
    ! [X0,X1,X2] :
      ( ordered_pair(w,X0) != ordered_pair(X1,X2)
      | w = X1 ),
    inference(resolution,[status(thm)],[f351,f368]) ).

fof(f376,plain,
    w = y,
    inference(resolution,[status(thm)],[f375,f367]) ).

fof(f377,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f376,f369]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET016-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.34  % Computer : n027.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Mon Apr 29 22:18:47 EDT 2024
% 0.15/0.34  % CPUTime  : 
% 0.21/0.36  % Drodi V3.6.0
% 0.21/0.37  % Refutation found
% 0.21/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.026323 seconds
% 0.21/0.38  % CPU time: 0.036583 seconds
% 0.21/0.38  % Total memory used: 13.976 MB
% 0.21/0.38  % Net memory used: 13.968 MB
%------------------------------------------------------------------------------