%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET073+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 12:33:52 EDT 2023

% Result   : Theorem 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   58 (  17 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   55 (  22   ~;  18   |;  10   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (;  23   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [U,X,Y] :
      ( member(U,unordered_pair(X,Y))
    <=> ( member(U,universal_class)
        & ( U = X
          | U = Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X] : ~ member(X,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,conjecture,
    ! [X,Y] :
      ( member(X,universal_class)
     => unordered_pair(X,Y) != null_class ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ~ ! [X,Y] :
        ( member(X,universal_class)
       => unordered_pair(X,Y) != null_class ),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f59,plain,
    ! [U,X,Y] :
      ( ( ~ member(U,unordered_pair(X,Y))
        | ( member(U,universal_class)
          & ( U = X
            | U = Y ) ) )
      & ( member(U,unordered_pair(X,Y))
        | ~ member(U,universal_class)
        | ( U != X
          & U != Y ) ) ),
    inference(NNF_transformation,[status(esa)],[f4]) ).

fof(f60,plain,
    ( ! [U,X,Y] :
        ( ~ member(U,unordered_pair(X,Y))
        | ( member(U,universal_class)
          & ( U = X
            | U = Y ) ) )
    & ! [U,X,Y] :
        ( member(U,unordered_pair(X,Y))
        | ~ member(U,universal_class)
        | ( U != X
          & U != Y ) ) ),
    inference(miniscoping,[status(esa)],[f59]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
      | ~ member(X0,universal_class)
      | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f96,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f191,plain,
    ? [X,Y] :
      ( member(X,universal_class)
      & unordered_pair(X,Y) = null_class ),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f192,plain,
    ? [X] :
      ( member(X,universal_class)
      & ? [Y] : unordered_pair(X,Y) = null_class ),
    inference(miniscoping,[status(esa)],[f191]) ).

fof(f193,plain,
    ( member(sk0_7,universal_class)
    & unordered_pair(sk0_7,sk0_8) = null_class ),
    inference(skolemization,[status(esa)],[f192]) ).

fof(f194,plain,
    member(sk0_7,universal_class),
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f195,plain,
    unordered_pair(sk0_7,sk0_8) = null_class,
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    inference(destructive_equality_resolution,[status(esa)],[f63]) ).

fof(f209,plain,
    ( spl0_0
  <=> member(sk0_7,null_class) ),
    introduced(split_symbol_definition) ).

fof(f210,plain,
    ( member(sk0_7,null_class)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f209]) ).

fof(f212,plain,
    ( spl0_1
  <=> member(sk0_7,universal_class) ),
    introduced(split_symbol_definition) ).

fof(f214,plain,
    ( ~ member(sk0_7,universal_class)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f212]) ).

fof(f215,plain,
    ( member(sk0_7,null_class)
    | ~ member(sk0_7,universal_class) ),
    inference(paramodulation,[status(thm)],[f195,f198]) ).

fof(f216,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f215,f209,f212]) ).

fof(f218,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f214,f194]) ).

fof(f219,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f218]) ).

fof(f220,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f210,f96]) ).

fof(f221,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f220]) ).

fof(f222,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f216,f219,f221]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET073+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:18:17 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.025549 seconds
% 0.12/0.37  % CPU time: 0.034186 seconds
% 0.12/0.37  % Memory used: 15.003 MB
%------------------------------------------------------------------------------