TSTP Solution File: SET077-6 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET077-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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   : Unsatisfiable 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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   :    7 (;   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X,Y] : member(unordered_pair(X,Y),universal_class),
    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(f92,negated_conjecture,
    ~ member(singleton(x),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f107,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f108,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f198,plain,
    ~ member(singleton(x),universal_class),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f204,plain,
    ! [X0] : member(singleton(X0),universal_class),
    inference(paramodulation,[status(thm)],[f108,f107]) ).

fof(f205,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f198,f204]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET077-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 : Tue May 30 10:19:42 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.5.1
% 0.21/0.60  % Refutation found
% 0.21/0.60  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.60  % Elapsed time: 0.026109 seconds
% 0.21/0.60  % CPU time: 0.027054 seconds
% 0.21/0.60  % Memory used: 3.765 MB
%------------------------------------------------------------------------------