TSTP Solution File: NUM139-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM139-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 12:24:32 EDT 2023

% Result   : Unsatisfiable 0.16s 0.56s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y] :
      ( member(not_subclass_element(X,Y),X)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f159,negated_conjecture,
    ~ member(not_subclass_element(intersection(power_class(x),z),x),z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f160,negated_conjecture,
    ~ subclass(intersection(power_class(x),z),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f163,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f190,plain,
    ! [Z,Y] :
      ( ! [X] : ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    inference(miniscoping,[status(esa)],[f22]) ).

fof(f191,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f348,plain,
    ~ member(not_subclass_element(intersection(power_class(x),z),x),z),
    inference(cnf_transformation,[status(esa)],[f159]) ).

fof(f349,plain,
    ~ subclass(intersection(power_class(x),z),x),
    inference(cnf_transformation,[status(esa)],[f160]) ).

fof(f361,plain,
    ! [X0,X1,X2] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X1)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f191,f163]) ).

fof(f474,plain,
    subclass(intersection(power_class(x),z),x),
    inference(resolution,[status(thm)],[f361,f348]) ).

fof(f475,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f474,f349]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : NUM139-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n016.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 10:25:59 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.16/0.56  % Refutation found
% 0.16/0.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.56  % Elapsed time: 0.037781 seconds
% 0.16/0.56  % CPU time: 0.020977 seconds
% 0.16/0.56  % Memory used: 4.063 MB
%------------------------------------------------------------------------------