%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET085-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 12:33:56 EDT 2023

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (  15 unt;   0 def)
%            Number of atoms       :   49 (  22 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  17   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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;   4 con; 0-2 aty)
%            Number of variables   :   19 (;  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [U,X,Y] :
      ( ~ member(U,unordered_pair(X,Y))
      | U = X
      | U = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Y] :
      ( ~ member(X,universal_class)
      | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X] : unordered_pair(X,X) = singleton(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f129,negated_conjecture,
    unordered_pair(y,z) = singleton(x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f130,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f131,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f132,negated_conjecture,
    x != z,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f141,plain,
    ! [U,Y] :
      ( ! [X] :
          ( ~ member(U,unordered_pair(X,Y))
          | U = X )
      | U = Y ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f143,plain,
    ! [X] :
      ( ~ member(X,universal_class)
      | ! [Y] : member(X,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f143]) ).

fof(f148,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f288,plain,
    unordered_pair(y,z) = singleton(x),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f289,plain,
    member(x,universal_class),
    inference(cnf_transformation,[status(esa)],[f130]) ).

fof(f290,plain,
    x != y,
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f291,plain,
    x != z,
    inference(cnf_transformation,[status(esa)],[f132]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ member(X0,singleton(x))
      | X0 = y
      | X0 = z ),
    inference(paramodulation,[status(thm)],[f288,f142]) ).

fof(f314,plain,
    ! [X0] : member(x,unordered_pair(x,X0)),
    inference(resolution,[status(thm)],[f144,f289]) ).

fof(f348,plain,
    member(x,singleton(x)),
    inference(paramodulation,[status(thm)],[f148,f314]) ).

fof(f355,plain,
    ( spl0_2
  <=> x = y ),
    introduced(split_symbol_definition) ).

fof(f356,plain,
    ( x = y
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f355]) ).

fof(f358,plain,
    ( spl0_3
  <=> x = z ),
    introduced(split_symbol_definition) ).

fof(f359,plain,
    ( x = z
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f358]) ).

fof(f361,plain,
    ( x = y
    | x = z ),
    inference(resolution,[status(thm)],[f295,f348]) ).

fof(f362,plain,
    ( spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f361,f355,f358]) ).

fof(f364,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f356,f290]) ).

fof(f365,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f364]) ).

fof(f366,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f359,f291]) ).

fof(f367,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f366]) ).

fof(f368,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f362,f365,f367]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET085-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 10:11:34 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.5.1
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58  % Elapsed time: 0.019102 seconds
% 0.20/0.58  % CPU time: 0.043471 seconds
% 0.20/0.58  % Memory used: 15.473 MB
%------------------------------------------------------------------------------