%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET004-1 : TPTP v8.1.2. Released v1.0.0.
% 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 20:38:34 EDT 2024

% Result   : Unsatisfiable 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  14   ~;  15   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [Subset,Superset] :
      ( subset(Subset,Superset)
      | member(member_of_1_not_of_2(Subset,Superset),Subset) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [Subset,Superset] :
      ( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)
      | subset(Subset,Superset) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [Set1,Set2,Union,Element] :
      ( ~ union(Set1,Set2,Union)
      | ~ member(Element,Set1)
      | member(Element,Union) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    union(a,b,aUb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ~ subset(a,aUb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(member_of_1_not_of_2(X0,X1),X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ member(member_of_1_not_of_2(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f24,plain,
    ! [Union,Element] :
      ( ! [Set1] :
          ( ! [Set2] : ~ union(Set1,Set2,Union)
          | ~ member(Element,Set1) )
      | member(Element,Union) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( ~ union(X0,X1,X2)
      | ~ member(X3,X0)
      | member(X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f31,plain,
    union(a,b,aUb),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f32,plain,
    ~ subset(a,aUb),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ member(X0,a)
      | member(X0,aUb) ),
    inference(resolution,[status(thm)],[f25,f31]) ).

fof(f40,plain,
    ! [X0] :
      ( member(member_of_1_not_of_2(a,X0),aUb)
      | subset(a,X0) ),
    inference(resolution,[status(thm)],[f39,f17]) ).

fof(f43,plain,
    ( spl0_0
  <=> subset(a,aUb) ),
    introduced(split_symbol_definition) ).

fof(f44,plain,
    ( subset(a,aUb)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f43]) ).

fof(f46,plain,
    ( subset(a,aUb)
    | subset(a,aUb) ),
    inference(resolution,[status(thm)],[f40,f18]) ).

fof(f47,plain,
    spl0_0,
    inference(split_clause,[status(thm)],[f46,f43]) ).

fof(f48,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f44,f32]) ).

fof(f49,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f48]) ).

fof(f50,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f47,f49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SET004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n010.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Mon Apr 29 21:23:05 EDT 2024
% 0.15/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.32  % Refutation found
% 0.15/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.34  % Elapsed time: 0.016290 seconds
% 0.15/0.34  % CPU time: 0.023870 seconds
% 0.15/0.34  % Total memory used: 1.990 MB
% 0.15/0.34  % Net memory used: 1.928 MB
%------------------------------------------------------------------------------