%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET024-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 20:38:43 EDT 2024

% Result   : Unsatisfiable 0.21s 0.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   21 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [U,X,Y] :
      ( member(U,non_ordered_pair(X,Y))
      | ~ little_set(U)
      | U != X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X] : singleton_set(X) = non_ordered_pair(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f142,hypothesis,
    little_set(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f143,negated_conjecture,
    ~ member(a,singleton_set(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f151,plain,
    ! [U,X] :
      ( ! [Y] : member(U,non_ordered_pair(X,Y))
      | ~ little_set(U)
      | U != X ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( member(X0,non_ordered_pair(X1,X2))
      | ~ little_set(X0)
      | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f151]) ).

fof(f156,plain,
    ! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f321,plain,
    little_set(a),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f322,plain,
    ~ member(a,singleton_set(a)),
    inference(cnf_transformation,[status(esa)],[f143]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( member(X0,non_ordered_pair(X0,X1))
      | ~ little_set(X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f152]) ).

fof(f354,plain,
    ! [X0] :
      ( member(X0,singleton_set(X0))
      | ~ little_set(X0) ),
    inference(paramodulation,[status(thm)],[f156,f323]) ).

fof(f355,plain,
    ~ little_set(a),
    inference(resolution,[status(thm)],[f354,f322]) ).

fof(f356,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f355,f321]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET024-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 21:19:17 EDT 2024
% 0.21/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.6.0
% 0.21/0.40  % Refutation found
% 0.21/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.42  % Elapsed time: 0.057427 seconds
% 0.21/0.42  % CPU time: 0.310522 seconds
% 0.21/0.42  % Total memory used: 64.252 MB
% 0.21/0.42  % Net memory used: 64.060 MB
%------------------------------------------------------------------------------