%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET025-8 : TPTP v8.1.2. Released v1.0.0.
% 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 20:38:44 EDT 2024

% Result   : Unsatisfiable 0.09s 0.34s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   13 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X] :
      ( ~ ordered_pair_predicate(X)
      | X = ordered_pair(f2(X),f3(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f151,axiom,
    ! [X,Y] : little_set(ordered_pair(X,Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f152,hypothesis,
    ordered_pair_predicate(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f153,negated_conjecture,
    ~ little_set(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f170,plain,
    ! [X0] :
      ( ~ ordered_pair_predicate(X0)
      | X0 = ordered_pair(f2(X0),f3(X0)) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f343,plain,
    ! [X0,X1] : little_set(ordered_pair(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f151]) ).

fof(f344,plain,
    ordered_pair_predicate(a),
    inference(cnf_transformation,[status(esa)],[f152]) ).

fof(f345,plain,
    ~ little_set(a),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f510,plain,
    a = ordered_pair(f2(a),f3(a)),
    inference(resolution,[status(thm)],[f170,f344]) ).

fof(f511,plain,
    little_set(a),
    inference(paramodulation,[status(thm)],[f510,f343]) ).

fof(f512,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f511,f345]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : SET025-8 : TPTP v8.1.2. Released v1.0.0.
% 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 22:10:34 EDT 2024
% 0.09/0.32  % CPUTime  : 
% 0.09/0.33  % Drodi V3.6.0
% 0.09/0.34  % Refutation found
% 0.09/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.36  % Elapsed time: 0.022993 seconds
% 0.09/0.36  % CPU time: 0.039317 seconds
% 0.09/0.36  % Total memory used: 16.156 MB
% 0.09/0.36  % Net memory used: 16.128 MB
%------------------------------------------------------------------------------