TSTP Solution File: SET074-7 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET074-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Wed May 31 12:33:52 EDT 2023

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  12 unt;   0 def)
%            Number of atoms       :   18 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (;  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X,Y] :
      ( ~ member(X,universal_class)
      | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f103,axiom,
    ! [Z] : ~ member(Z,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f108,axiom,
    ! [X,Y] : unordered_pair(X,Y) = unordered_pair(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f116,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f117,negated_conjecture,
    unordered_pair(x,y) = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f128,plain,
    ! [X] :
      ( ~ member(X,universal_class)
      | ! [Y] : member(X,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f239,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[status(esa)],[f103]) ).

fof(f244,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[status(esa)],[f108]) ).

fof(f257,plain,
    member(y,universal_class),
    inference(cnf_transformation,[status(esa)],[f116]) ).

fof(f258,plain,
    unordered_pair(x,y) = null_class,
    inference(cnf_transformation,[status(esa)],[f117]) ).

fof(f264,plain,
    null_class = unordered_pair(y,x),
    inference(paramodulation,[status(thm)],[f258,f244]) ).

fof(f276,plain,
    ! [X0] : member(y,unordered_pair(y,X0)),
    inference(resolution,[status(thm)],[f129,f257]) ).

fof(f295,plain,
    member(y,null_class),
    inference(paramodulation,[status(thm)],[f264,f276]) ).

fof(f296,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f295,f239]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET074-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n007.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
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 10:03:47 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.028483 seconds
% 0.14/0.37  % CPU time: 0.037018 seconds
% 0.14/0.37  % Memory used: 15.231 MB
%------------------------------------------------------------------------------