TSTP Solution File: NUM030-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 : Tue Apr 30 20:30:14 EDT 2024

% Result   : Unsatisfiable 56.24s 7.45s
% Output   : CNFRefutation 56.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   39 (  13 unt;   0 def)
%            Number of atoms       :   73 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   55 (  21   ~;  34   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   71 (  71   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,U] :
      ( ~ subclass(X,Y)
      | ~ member(U,X)
      | member(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] :
      ( member(not_subclass_element(X,Y),X)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( ~ member(not_subclass_element(X,Y),Y)
      | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] : subclass(X,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [Z,X] :
      ( ~ member(Z,complement(X))
      | ~ member(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [Z,X] :
      ( ~ member(Z,universal_class)
      | member(Z,complement(X))
      | member(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,axiom,
    ! [X] : union(X,inverse(X)) = symmetrization_of(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f159,negated_conjecture,
    symmetrization_of(x) = x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f160,negated_conjecture,
    ~ subclass(inverse(x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f161,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f162,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f161]) ).

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

fof(f164,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f165,plain,
    ! [X0] : subclass(X0,universal_class),
    inference(cnf_transformation,[status(esa)],[f4]) ).

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(f193,plain,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,complement(X1))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f195,plain,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f292,plain,
    ! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f348,plain,
    symmetrization_of(x) = x,
    inference(cnf_transformation,[status(esa)],[f159]) ).

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

fof(f365,plain,
    ! [X0,X1,X2] :
      ( subclass(X0,X1)
      | ~ subclass(X0,X2)
      | member(not_subclass_element(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f163,f162]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),universal_class) ),
    inference(resolution,[status(thm)],[f365,f165]) ).

fof(f2729,plain,
    ! [X0,X1,X2] :
      ( member(not_subclass_element(X0,X1),complement(X2))
      | member(not_subclass_element(X0,X1),X2)
      | subclass(X0,X1) ),
    inference(resolution,[status(thm)],[f194,f366]) ).

fof(f4093,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,complement(X1)),X1)
      | subclass(X0,complement(X1))
      | subclass(X0,complement(X1)) ),
    inference(resolution,[status(thm)],[f2729,f164]) ).

fof(f4094,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,complement(X1)),X1)
      | subclass(X0,complement(X1)) ),
    inference(duplicate_literals_removal,[status(esa)],[f4093]) ).

fof(f4124,plain,
    ! [X0,X1,X2] :
      ( subclass(X0,complement(intersection(X1,X2)))
      | member(not_subclass_element(X0,complement(intersection(X1,X2))),X2) ),
    inference(resolution,[status(thm)],[f4094,f191]) ).

fof(f4542,plain,
    ! [X0,X1,X2] :
      ( subclass(X0,complement(intersection(complement(X1),complement(X2))))
      | member(not_subclass_element(X0,union(X1,X2)),complement(X2)) ),
    inference(paramodulation,[status(thm)],[f195,f4124]) ).

fof(f4543,plain,
    ! [X0,X1,X2] :
      ( subclass(X0,union(X1,X2))
      | member(not_subclass_element(X0,union(X1,X2)),complement(X2)) ),
    inference(forward_demodulation,[status(thm)],[f195,f4542]) ).

fof(f10109,plain,
    ! [X0,X1] :
      ( subclass(X0,union(X1,inverse(X1)))
      | member(not_subclass_element(X0,symmetrization_of(X1)),complement(inverse(X1))) ),
    inference(paramodulation,[status(thm)],[f292,f4543]) ).

fof(f10110,plain,
    ! [X0,X1] :
      ( subclass(X0,symmetrization_of(X1))
      | member(not_subclass_element(X0,symmetrization_of(X1)),complement(inverse(X1))) ),
    inference(forward_demodulation,[status(thm)],[f292,f10109]) ).

fof(f10169,plain,
    ! [X0,X1] :
      ( subclass(X0,symmetrization_of(X1))
      | ~ member(not_subclass_element(X0,symmetrization_of(X1)),inverse(X1)) ),
    inference(resolution,[status(thm)],[f10110,f193]) ).

fof(f10183,plain,
    ! [X0] :
      ( subclass(inverse(X0),symmetrization_of(X0))
      | subclass(inverse(X0),symmetrization_of(X0)) ),
    inference(resolution,[status(thm)],[f10169,f163]) ).

fof(f10184,plain,
    ! [X0] : subclass(inverse(X0),symmetrization_of(X0)),
    inference(duplicate_literals_removal,[status(esa)],[f10183]) ).

fof(f10190,plain,
    subclass(inverse(x),x),
    inference(paramodulation,[status(thm)],[f348,f10184]) ).

fof(f10191,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f10190,f349]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Apr 29 20:41:35 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 56.24/7.45  % Refutation found
% 56.24/7.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 56.24/7.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 58.25/8.68  % Elapsed time: 8.130122 seconds
% 58.25/8.68  % CPU time: 55.006160 seconds
% 58.25/8.68  % Total memory used: 257.814 MB
% 58.25/8.68  % Net memory used: 244.306 MB
%------------------------------------------------------------------------------