TSTP Solution File: SET071-7 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 20:38:58 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   43 (  14 unt;   0 def)
%            Number of atoms       :   83 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   73 (  33   ~;  35   |;   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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   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(f4,axiom,
    ! [X] : subclass(X,universal_class),
    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(f66,axiom,
    ! [X] :
      ( X = null_class
      | member(regular(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    unordered_pair(x,y) != null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,negated_conjecture,
    ~ member(y,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f116,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f116]) ).

fof(f120,plain,
    ! [X0] : subclass(X0,universal_class),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f124,plain,
    ! [U,Y] :
      ( ! [X] :
          ( ~ member(U,unordered_pair(X,Y))
          | U = X )
      | U = Y ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f190,plain,
    ! [X0] :
      ( X0 = null_class
      | member(regular(X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f66]) ).

fof(f249,plain,
    unordered_pair(x,y) != null_class,
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f250,plain,
    ~ member(x,universal_class),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f251,plain,
    ~ member(y,universal_class),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[status(thm)],[f117,f120]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) = null_class
      | regular(unordered_pair(X0,X1)) = X0
      | regular(unordered_pair(X0,X1)) = X1 ),
    inference(resolution,[status(thm)],[f190,f125]) ).

fof(f695,plain,
    ( spl0_31
  <=> regular(unordered_pair(x,y)) = x ),
    introduced(split_symbol_definition) ).

fof(f696,plain,
    ( regular(unordered_pair(x,y)) = x
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f695]) ).

fof(f698,plain,
    ( spl0_32
  <=> regular(unordered_pair(x,y)) = y ),
    introduced(split_symbol_definition) ).

fof(f699,plain,
    ( regular(unordered_pair(x,y)) = y
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f698]) ).

fof(f701,plain,
    ( regular(unordered_pair(x,y)) = x
    | regular(unordered_pair(x,y)) = y ),
    inference(resolution,[status(thm)],[f488,f249]) ).

fof(f702,plain,
    ( spl0_31
    | spl0_32 ),
    inference(split_clause,[status(thm)],[f701,f695,f698]) ).

fof(f911,plain,
    ! [X0] : ~ member(y,X0),
    inference(resolution,[status(thm)],[f300,f251]) ).

fof(f912,plain,
    ! [X0] : ~ member(x,X0),
    inference(resolution,[status(thm)],[f300,f250]) ).

fof(f960,plain,
    ( spl0_49
  <=> unordered_pair(x,y) = null_class ),
    introduced(split_symbol_definition) ).

fof(f961,plain,
    ( unordered_pair(x,y) = null_class
    | ~ spl0_49 ),
    inference(component_clause,[status(thm)],[f960]) ).

fof(f963,plain,
    ( spl0_50
  <=> member(x,unordered_pair(x,y)) ),
    introduced(split_symbol_definition) ).

fof(f964,plain,
    ( member(x,unordered_pair(x,y))
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f963]) ).

fof(f966,plain,
    ( unordered_pair(x,y) = null_class
    | member(x,unordered_pair(x,y))
    | ~ spl0_31 ),
    inference(paramodulation,[status(thm)],[f696,f190]) ).

fof(f967,plain,
    ( spl0_49
    | spl0_50
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f966,f960,f963,f695]) ).

fof(f970,plain,
    ( $false
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f964,f912]) ).

fof(f971,plain,
    ~ spl0_50,
    inference(contradiction_clause,[status(thm)],[f970]) ).

fof(f972,plain,
    ( $false
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f961,f249]) ).

fof(f973,plain,
    ~ spl0_49,
    inference(contradiction_clause,[status(thm)],[f972]) ).

fof(f979,plain,
    ( spl0_52
  <=> member(y,unordered_pair(x,y)) ),
    introduced(split_symbol_definition) ).

fof(f980,plain,
    ( member(y,unordered_pair(x,y))
    | ~ spl0_52 ),
    inference(component_clause,[status(thm)],[f979]) ).

fof(f982,plain,
    ( unordered_pair(x,y) = null_class
    | member(y,unordered_pair(x,y))
    | ~ spl0_32 ),
    inference(paramodulation,[status(thm)],[f699,f190]) ).

fof(f983,plain,
    ( spl0_49
    | spl0_52
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f982,f960,f979,f698]) ).

fof(f984,plain,
    ( $false
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[status(thm)],[f980,f911]) ).

fof(f985,plain,
    ~ spl0_52,
    inference(contradiction_clause,[status(thm)],[f984]) ).

fof(f986,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f702,f967,f971,f973,f983,f985]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32  % Computer : n026.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Mon Apr 29 21:49:49 EDT 2024
% 0.09/0.32  % CPUTime  : 
% 0.14/0.33  % Drodi V3.6.0
% 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
% 0.14/0.40  % Elapsed time: 0.064055 seconds
% 0.14/0.40  % CPU time: 0.382918 seconds
% 0.14/0.40  % Total memory used: 65.909 MB
% 0.14/0.40  % Net memory used: 65.682 MB
%------------------------------------------------------------------------------