%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET060+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:38:53 EDT 2024

% Result   : Theorem 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   48 (  21   ~;  15   |;  10   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (  32   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X,Y,Z] :
      ( member(Z,intersection(X,Y))
    <=> ( member(Z,X)
        & member(Z,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Z] :
      ( member(Z,complement(X))
    <=> ( member(Z,universal_class)
        & ~ member(Z,X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,conjecture,
    ! [X,Y] : ~ member(Y,intersection(complement(X),X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ~ ! [X,Y] : ~ member(Y,intersection(complement(X),X)),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f85,plain,
    ! [X,Y,Z] :
      ( ( ~ member(Z,intersection(X,Y))
        | ( member(Z,X)
          & member(Z,Y) ) )
      & ( member(Z,intersection(X,Y))
        | ~ member(Z,X)
        | ~ member(Z,Y) ) ),
    inference(NNF_transformation,[status(esa)],[f13]) ).

fof(f86,plain,
    ( ! [X,Y,Z] :
        ( ~ member(Z,intersection(X,Y))
        | ( member(Z,X)
          & member(Z,Y) ) )
    & ! [X,Y,Z] :
        ( member(Z,intersection(X,Y))
        | ~ member(Z,X)
        | ~ member(Z,Y) ) ),
    inference(miniscoping,[status(esa)],[f85]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f90,plain,
    ! [X,Z] :
      ( ( ~ member(Z,complement(X))
        | ( member(Z,universal_class)
          & ~ member(Z,X) ) )
      & ( member(Z,complement(X))
        | ~ member(Z,universal_class)
        | member(Z,X) ) ),
    inference(NNF_transformation,[status(esa)],[f14]) ).

fof(f91,plain,
    ( ! [X,Z] :
        ( ~ member(Z,complement(X))
        | ( member(Z,universal_class)
          & ~ member(Z,X) ) )
    & ! [X,Z] :
        ( member(Z,complement(X))
        | ~ member(Z,universal_class)
        | member(Z,X) ) ),
    inference(miniscoping,[status(esa)],[f90]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f91]) ).

fof(f191,plain,
    ? [X,Y] : member(Y,intersection(complement(X),X)),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f192,plain,
    member(sk0_8,intersection(complement(sk0_7),sk0_7)),
    inference(skolemization,[status(esa)],[f191]) ).

fof(f193,plain,
    member(sk0_8,intersection(complement(sk0_7),sk0_7)),
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f200,plain,
    member(sk0_8,complement(sk0_7)),
    inference(resolution,[status(thm)],[f87,f193]) ).

fof(f201,plain,
    ~ member(sk0_8,sk0_7),
    inference(resolution,[status(thm)],[f200,f93]) ).

fof(f202,plain,
    member(sk0_8,sk0_7),
    inference(resolution,[status(thm)],[f88,f193]) ).

fof(f203,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f202,f201]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET060+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 21:19:19 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.20/0.38  % Refutation found
% 0.20/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.035062 seconds
% 0.20/0.40  % CPU time: 0.041088 seconds
% 0.20/0.40  % Total memory used: 11.373 MB
% 0.20/0.40  % Net memory used: 11.363 MB
%------------------------------------------------------------------------------