%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET025-9 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 0.10s 0.35s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   16 (   5 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    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X,Y] : little_set(non_ordered_pair(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Y] : ordered_pair(X,Y) = non_ordered_pair(singleton_set(X),non_ordered_pair(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f155,plain,
    ! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f157,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ ordered_pair_predicate(X0)
      | X0 = ordered_pair(f2(X0),f3(X0)) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

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

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

fof(f409,plain,
    ! [X0,X1] : little_set(ordered_pair(X0,X1)),
    inference(paramodulation,[status(thm)],[f157,f155]) ).

fof(f438,plain,
    a = ordered_pair(f2(a),f3(a)),
    inference(resolution,[status(thm)],[f160,f321]) ).

fof(f441,plain,
    little_set(a),
    inference(paramodulation,[status(thm)],[f438,f409]) ).

fof(f442,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f441,f322]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SET025-9 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n019.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Mon Apr 29 21:41:14 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.6.0
% 0.10/0.35  % Refutation found
% 0.10/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.37  % Elapsed time: 0.025437 seconds
% 0.17/0.37  % CPU time: 0.034300 seconds
% 0.17/0.37  % Total memory used: 14.041 MB
% 0.17/0.37  % Net memory used: 14.015 MB
%------------------------------------------------------------------------------