TSTP Solution File: SET001-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 12:33:27 EDT 2023

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (;  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [Element,Subset,Superset] :
      ( ~ member(Element,Subset)
      | ~ subset(Subset,Superset)
      | member(Element,Superset) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [Subset,Superset] :
      ( ~ equal_sets(Subset,Superset)
      | subset(Subset,Superset) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    equal_sets(b,bb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    member(element_of_b,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ~ member(element_of_b,bb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [Element,Superset] :
      ( ! [Subset] :
          ( ~ member(Element,Subset)
          | ~ subset(Subset,Superset) )
      | member(Element,Superset) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,X1)
      | ~ subset(X1,X2)
      | member(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ equal_sets(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f17,plain,
    equal_sets(b,bb),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f18,plain,
    member(element_of_b,b),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f19,plain,
    ~ member(element_of_b,bb),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f20,plain,
    subset(b,bb),
    inference(resolution,[status(thm)],[f14,f17]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ member(X0,b)
      | member(X0,bb) ),
    inference(resolution,[status(thm)],[f20,f11]) ).

fof(f22,plain,
    ~ member(element_of_b,b),
    inference(resolution,[status(thm)],[f21,f19]) ).

fof(f23,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f22,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:36:43 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.58  % Elapsed time: 0.016098 seconds
% 0.19/0.58  % CPU time: 0.014670 seconds
% 0.19/0.58  % Memory used: 478.456 KB
%------------------------------------------------------------------------------