%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET076-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 12:33:53 EDT 2023

% Result   : Unsatisfiable 0.08s 0.30s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   37 (  10 unt;   0 def)
%            Number of atoms       :   72 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   57 (  22   ~;  30   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y] :
      ( member(not_subclass_element(X,Y),X)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( ~ member(not_subclass_element(X,Y),Y)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f119,negated_conjecture,
    member(x,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f120,negated_conjecture,
    member(y,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f121,negated_conjecture,
    ~ subclass(unordered_pair(x,y),z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f124,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f130,plain,
    ! [U,Y] :
      ( ! [X] :
          ( ~ member(U,unordered_pair(X,Y))
          | U = X )
      | U = Y ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f130]) ).

fof(f267,plain,
    member(x,z),
    inference(cnf_transformation,[status(esa)],[f119]) ).

fof(f268,plain,
    member(y,z),
    inference(cnf_transformation,[status(esa)],[f120]) ).

fof(f269,plain,
    ~ subclass(unordered_pair(x,y),z),
    inference(cnf_transformation,[status(esa)],[f121]) ).

fof(f297,plain,
    ! [X0,X1,X2] :
      ( subclass(unordered_pair(X0,X1),X2)
      | not_subclass_element(unordered_pair(X0,X1),X2) = X0
      | not_subclass_element(unordered_pair(X0,X1),X2) = X1 ),
    inference(resolution,[status(thm)],[f124,f131]) ).

fof(f428,plain,
    ( spl0_0
  <=> not_subclass_element(unordered_pair(x,y),z) = x ),
    introduced(split_symbol_definition) ).

fof(f429,plain,
    ( not_subclass_element(unordered_pair(x,y),z) = x
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f428]) ).

fof(f431,plain,
    ( spl0_1
  <=> not_subclass_element(unordered_pair(x,y),z) = y ),
    introduced(split_symbol_definition) ).

fof(f432,plain,
    ( not_subclass_element(unordered_pair(x,y),z) = y
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f431]) ).

fof(f434,plain,
    ( not_subclass_element(unordered_pair(x,y),z) = x
    | not_subclass_element(unordered_pair(x,y),z) = y ),
    inference(resolution,[status(thm)],[f297,f269]) ).

fof(f435,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f434,f428,f431]) ).

fof(f590,plain,
    ( spl0_6
  <=> subclass(unordered_pair(x,y),z) ),
    introduced(split_symbol_definition) ).

fof(f591,plain,
    ( subclass(unordered_pair(x,y),z)
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f590]) ).

fof(f598,plain,
    ( spl0_8
  <=> member(x,z) ),
    introduced(split_symbol_definition) ).

fof(f600,plain,
    ( ~ member(x,z)
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f598]) ).

fof(f601,plain,
    ( ~ member(x,z)
    | subclass(unordered_pair(x,y),z)
    | ~ spl0_0 ),
    inference(paramodulation,[status(thm)],[f429,f125]) ).

fof(f602,plain,
    ( ~ spl0_8
    | spl0_6
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f601,f598,f590,f428]) ).

fof(f608,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f591,f269]) ).

fof(f609,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f608]) ).

fof(f615,plain,
    ( spl0_11
  <=> member(y,z) ),
    introduced(split_symbol_definition) ).

fof(f617,plain,
    ( ~ member(y,z)
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f615]) ).

fof(f618,plain,
    ( ~ member(y,z)
    | subclass(unordered_pair(x,y),z)
    | ~ spl0_1 ),
    inference(paramodulation,[status(thm)],[f432,f125]) ).

fof(f619,plain,
    ( ~ spl0_11
    | spl0_6
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f618,f615,f590,f431]) ).

fof(f625,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f617,f268]) ).

fof(f626,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f625]) ).

fof(f627,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f600,f267]) ).

fof(f628,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f627]) ).

fof(f629,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f435,f602,f609,f619,f626,f628]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SET076-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 10:23:46 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.08/0.29  % Drodi V3.5.1
% 0.08/0.30  % Refutation found
% 0.08/0.30  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.31  % Elapsed time: 0.024092 seconds
% 0.08/0.31  % CPU time: 0.067164 seconds
% 0.08/0.31  % Memory used: 15.829 MB
%------------------------------------------------------------------------------