%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET076-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:39:00 EDT 2024

% Result   : Unsatisfiable 0.21s 0.41s
% Output   : CNFRefutation 0.21s
% 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/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( ~ member(not_subclass_element(X,Y),Y)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [U,X,Y] :
      ( ~ member(U,unordered_pair(X,Y))
      | U = X
      | U = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    member(x,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    member(y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f94,negated_conjecture,
    ~ subclass(unordered_pair(x,y),z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f97,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f103,plain,
    ! [U,Y] :
      ( ! [X] :
          ( ~ member(U,unordered_pair(X,Y))
          | U = X )
      | U = Y ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f103]) ).

fof(f200,plain,
    member(x,z),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f201,plain,
    member(y,z),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f202,plain,
    ~ subclass(unordered_pair(x,y),z),
    inference(cnf_transformation,[status(esa)],[f94]) ).

fof(f225,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)],[f97,f104]) ).

fof(f461,plain,
    ( spl0_16
  <=> not_subclass_element(unordered_pair(x,y),z) = x ),
    introduced(split_symbol_definition) ).

fof(f462,plain,
    ( not_subclass_element(unordered_pair(x,y),z) = x
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f461]) ).

fof(f464,plain,
    ( spl0_17
  <=> not_subclass_element(unordered_pair(x,y),z) = y ),
    introduced(split_symbol_definition) ).

fof(f465,plain,
    ( not_subclass_element(unordered_pair(x,y),z) = y
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f464]) ).

fof(f467,plain,
    ( not_subclass_element(unordered_pair(x,y),z) = x
    | not_subclass_element(unordered_pair(x,y),z) = y ),
    inference(resolution,[status(thm)],[f225,f202]) ).

fof(f468,plain,
    ( spl0_16
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f467,f461,f464]) ).

fof(f612,plain,
    ( spl0_26
  <=> subclass(unordered_pair(x,y),z) ),
    introduced(split_symbol_definition) ).

fof(f613,plain,
    ( subclass(unordered_pair(x,y),z)
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f612]) ).

fof(f620,plain,
    ( spl0_28
  <=> member(x,z) ),
    introduced(split_symbol_definition) ).

fof(f622,plain,
    ( ~ member(x,z)
    | spl0_28 ),
    inference(component_clause,[status(thm)],[f620]) ).

fof(f623,plain,
    ( ~ member(x,z)
    | subclass(unordered_pair(x,y),z)
    | ~ spl0_16 ),
    inference(paramodulation,[status(thm)],[f462,f98]) ).

fof(f624,plain,
    ( ~ spl0_28
    | spl0_26
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f623,f620,f612,f461]) ).

fof(f630,plain,
    ( $false
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f613,f202]) ).

fof(f631,plain,
    ~ spl0_26,
    inference(contradiction_clause,[status(thm)],[f630]) ).

fof(f637,plain,
    ( spl0_31
  <=> member(y,z) ),
    introduced(split_symbol_definition) ).

fof(f639,plain,
    ( ~ member(y,z)
    | spl0_31 ),
    inference(component_clause,[status(thm)],[f637]) ).

fof(f640,plain,
    ( ~ member(y,z)
    | subclass(unordered_pair(x,y),z)
    | ~ spl0_17 ),
    inference(paramodulation,[status(thm)],[f465,f98]) ).

fof(f641,plain,
    ( ~ spl0_31
    | spl0_26
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f640,f637,f612,f464]) ).

fof(f647,plain,
    ( $false
    | spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f639,f201]) ).

fof(f648,plain,
    spl0_31,
    inference(contradiction_clause,[status(thm)],[f647]) ).

fof(f649,plain,
    ( $false
    | spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f622,f200]) ).

fof(f650,plain,
    spl0_28,
    inference(contradiction_clause,[status(thm)],[f649]) ).

fof(f651,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f468,f624,f631,f641,f648,f650]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET076-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n016.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
% 0.14/0.35  % DateTime : Mon Apr 29 22:20:10 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.6.0
% 0.21/0.41  % Refutation found
% 0.21/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.43  % Elapsed time: 0.062259 seconds
% 0.21/0.43  % CPU time: 0.311626 seconds
% 0.21/0.43  % Total memory used: 58.691 MB
% 0.21/0.43  % Net memory used: 58.404 MB
%------------------------------------------------------------------------------