%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET018-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 12:33:35 EDT 2023

% Result   : Unsatisfiable 0.13s 0.30s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   34 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  14   ~;  12   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (;  12   !;   0   ?)

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

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

fof(f169,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f170,negated_conjecture,
    x != z,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f354,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(f355,plain,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | ~ member(X1,universal_class)
      | X1 = X3 ),
    inference(cnf_transformation,[status(esa)],[f354]) ).

fof(f373,plain,
    ordered_pair(w,x) = ordered_pair(y,z),
    inference(cnf_transformation,[status(esa)],[f168]) ).

fof(f374,plain,
    member(x,universal_class),
    inference(cnf_transformation,[status(esa)],[f169]) ).

fof(f375,plain,
    x != z,
    inference(cnf_transformation,[status(esa)],[f170]) ).

fof(f411,plain,
    ( spl0_6
  <=> member(x,universal_class) ),
    introduced(split_symbol_definition) ).

fof(f413,plain,
    ( ~ member(x,universal_class)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f411]) ).

fof(f414,plain,
    ( spl0_7
  <=> x = z ),
    introduced(split_symbol_definition) ).

fof(f415,plain,
    ( x = z
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f414]) ).

fof(f417,plain,
    ( ~ member(x,universal_class)
    | x = z ),
    inference(resolution,[status(thm)],[f355,f373]) ).

fof(f418,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f417,f411,f414]) ).

fof(f430,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f413,f374]) ).

fof(f431,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f430]) ).

fof(f432,plain,
    ( $false
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f415,f375]) ).

fof(f433,plain,
    ~ spl0_7,
    inference(contradiction_clause,[status(thm)],[f432]) ).

fof(f434,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f418,f431,f433]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET018-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Tue May 30 10:18:30 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.13/0.29  % Drodi V3.5.1
% 0.13/0.30  % Refutation found
% 0.13/0.30  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.30  % Elapsed time: 0.018115 seconds
% 0.13/0.30  % CPU time: 0.027004 seconds
% 0.13/0.30  % Memory used: 15.761 MB
%------------------------------------------------------------------------------