%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET024-7 : 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 12:33:37 EDT 2023

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   42 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  16   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (;  27   !;   0   ?)

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

fof(f12,axiom,
    ! [X] : unordered_pair(X,X) = singleton(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f66,axiom,
    ! [X] :
      ( X = null_class
      | member(regular(X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f117,axiom,
    ! [Y,X] :
      ( ~ member(Y,universal_class)
      | unordered_pair(X,Y) != null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f122,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f123,negated_conjecture,
    ~ member(x,singleton(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f132,plain,
    ! [U,Y] :
      ( ! [X] :
          ( ~ member(U,unordered_pair(X,Y))
          | U = X )
      | U = Y ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f132]) ).

fof(f139,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f198,plain,
    ! [X0] :
      ( X0 = null_class
      | member(regular(X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f66]) ).

fof(f265,plain,
    ! [Y] :
      ( ~ member(Y,universal_class)
      | ! [X] : unordered_pair(X,Y) != null_class ),
    inference(miniscoping,[status(esa)],[f117]) ).

fof(f266,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | unordered_pair(X1,X0) != null_class ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f272,plain,
    member(x,universal_class),
    inference(cnf_transformation,[status(esa)],[f122]) ).

fof(f273,plain,
    ~ member(x,singleton(x)),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f768,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1
      | X0 = X1 ),
    inference(paramodulation,[status(thm)],[f139,f133]) ).

fof(f769,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(duplicate_literals_removal,[status(esa)],[f768]) ).

fof(f798,plain,
    ! [X0] :
      ( regular(singleton(X0)) = X0
      | singleton(X0) = null_class ),
    inference(resolution,[status(thm)],[f769,f198]) ).

fof(f814,plain,
    ! [X0] :
      ( singleton(X0) = null_class
      | member(X0,singleton(X0))
      | singleton(X0) = null_class ),
    inference(paramodulation,[status(thm)],[f798,f198]) ).

fof(f815,plain,
    ! [X0] :
      ( singleton(X0) = null_class
      | member(X0,singleton(X0)) ),
    inference(duplicate_literals_removal,[status(esa)],[f814]) ).

fof(f816,plain,
    singleton(x) = null_class,
    inference(resolution,[status(thm)],[f815,f273]) ).

fof(f1908,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | singleton(X0) != null_class ),
    inference(paramodulation,[status(thm)],[f139,f266]) ).

fof(f1911,plain,
    ~ member(x,universal_class),
    inference(resolution,[status(thm)],[f1908,f816]) ).

fof(f1912,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1911,f272]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET024-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:29:32 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  % Drodi V3.5.1
% 0.19/0.48  % Refutation found
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.48  % Elapsed time: 0.135184 seconds
% 0.19/0.48  % CPU time: 0.113570 seconds
% 0.19/0.48  % Memory used: 14.092 MB
%------------------------------------------------------------------------------