%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:33:53 EDT 2023

% Result   : Theorem 0.16s 0.54s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (;   9   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X,Y] : member(unordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] : singleton(X) = unordered_pair(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,conjecture,
    ! [X] : member(singleton(X),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ~ ! [X] : member(singleton(X),universal_class),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f65,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f66,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f191,plain,
    ? [X] : ~ member(singleton(X),universal_class),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f192,plain,
    ~ member(singleton(sk0_7),universal_class),
    inference(skolemization,[status(esa)],[f191]) ).

fof(f193,plain,
    ~ member(singleton(sk0_7),universal_class),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f202,plain,
    ! [X0] : member(singleton(X0),universal_class),
    inference(paramodulation,[status(thm)],[f66,f65]) ).

fof(f203,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f193,f202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n001.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:49:30 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.54  % Refutation found
% 0.16/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54  % Elapsed time: 0.012356 seconds
% 0.16/0.54  % CPU time: 0.013093 seconds
% 0.16/0.54  % Memory used: 3.763 MB
%------------------------------------------------------------------------------