TSTP Solution File: SET058-7 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET058-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:33:46 EDT 2023

% Result   : Unsatisfiable 0.16s 0.32s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  11 unt;   0 def)
%            Number of atoms       :   60 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   53 (  26   ~;  24   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (;  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,U] :
      ( ~ subclass(X,Y)
      | ~ member(U,X)
      | member(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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(f7,axiom,
    ! [X,Y] :
      ( ~ subclass(X,Y)
      | ~ subclass(Y,X)
      | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f98,negated_conjecture,
    member(not_subclass_element(y,x),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,negated_conjecture,
    ~ member(not_subclass_element(x,y),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f101,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f101]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f217,plain,
    member(not_subclass_element(y,x),x),
    inference(cnf_transformation,[status(esa)],[f98]) ).

fof(f218,plain,
    x != y,
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f219,plain,
    ~ member(not_subclass_element(x,y),x),
    inference(cnf_transformation,[status(esa)],[f100]) ).

fof(f224,plain,
    subclass(y,x),
    inference(resolution,[status(thm)],[f104,f217]) ).

fof(f225,plain,
    ! [X0] :
      ( subclass(X0,X0)
      | subclass(X0,X0) ),
    inference(resolution,[status(thm)],[f104,f103]) ).

fof(f226,plain,
    ! [X0] : subclass(X0,X0),
    inference(duplicate_literals_removal,[status(esa)],[f225]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ subclass(X0,x)
      | ~ member(not_subclass_element(x,y),X0) ),
    inference(resolution,[status(thm)],[f102,f219]) ).

fof(f229,plain,
    ( spl0_0
  <=> subclass(x,x) ),
    introduced(split_symbol_definition) ).

fof(f231,plain,
    ( ~ subclass(x,x)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f229]) ).

fof(f232,plain,
    ( spl0_1
  <=> subclass(x,y) ),
    introduced(split_symbol_definition) ).

fof(f235,plain,
    ( ~ subclass(x,x)
    | subclass(x,y) ),
    inference(resolution,[status(thm)],[f227,f103]) ).

fof(f236,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f235,f229,f232]) ).

fof(f238,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f231,f226]) ).

fof(f239,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f238]) ).

fof(f242,plain,
    ( spl0_2
  <=> x = y ),
    introduced(split_symbol_definition) ).

fof(f243,plain,
    ( x = y
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f242]) ).

fof(f245,plain,
    ( ~ subclass(x,y)
    | x = y ),
    inference(resolution,[status(thm)],[f108,f224]) ).

fof(f246,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f245,f232,f242]) ).

fof(f253,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f243,f218]) ).

fof(f254,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f253]) ).

fof(f255,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f236,f239,f246,f254]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SET058-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:28:47 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.32  % Refutation found
% 0.16/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54  % Elapsed time: 0.016154 seconds
% 0.16/0.54  % CPU time: 0.015282 seconds
% 0.16/0.54  % Memory used: 3.817 MB
%------------------------------------------------------------------------------