%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET411-6 : 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 20:39:40 EDT 2024

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  12 unt;   0 def)
%            Number of atoms       :   35 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

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

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

fof(f19,axiom,
    ! [X,Y] :
      ( ~ member(ordered_pair(X,Y),element_relation)
      | member(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(f104,axiom,
    intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    member(ordered_pair(x,y),singleton_relation),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subclass(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f119,plain,
    ! [X0] : subclass(X0,universal_class),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ member(ordered_pair(X0,X1),element_relation)
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f144,plain,
    ! [Z,Y] :
      ( ! [X] : ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    inference(miniscoping,[status(esa)],[f22]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f144]) ).

fof(f232,plain,
    intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
    inference(cnf_transformation,[status(esa)],[f104]) ).

fof(f246,plain,
    member(ordered_pair(x,y),singleton_relation),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f247,plain,
    ~ member(x,universal_class),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[status(thm)],[f119,f116]) ).

fof(f521,plain,
    ! [X0] :
      ( ~ member(X0,singleton_relation)
      | member(X0,element_relation) ),
    inference(paramodulation,[status(thm)],[f232,f145]) ).

fof(f1131,plain,
    member(ordered_pair(x,y),element_relation),
    inference(resolution,[status(thm)],[f521,f246]) ).

fof(f1132,plain,
    member(x,y),
    inference(resolution,[status(thm)],[f1131,f140]) ).

fof(f1148,plain,
    member(x,universal_class),
    inference(resolution,[status(thm)],[f1132,f252]) ).

fof(f1149,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1148,f247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET411-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n010.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 : Mon Apr 29 21:16:20 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.19/0.41  % Refutation found
% 0.19/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.42  % Elapsed time: 0.063794 seconds
% 0.19/0.42  % CPU time: 0.371861 seconds
% 0.19/0.42  % Total memory used: 64.998 MB
% 0.19/0.42  % Net memory used: 64.866 MB
%------------------------------------------------------------------------------