%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET027-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:38:45 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  17   ~;  17   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,axiom,
    ! [X,Y,U] :
      ( ~ subset(X,Y)
      | ~ member(U,X)
      | member(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f68,axiom,
    ! [X,Y] :
      ( subset(X,Y)
      | member(f17(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f69,axiom,
    ! [X,Y] :
      ( subset(X,Y)
      | ~ member(f17(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f153,hypothesis,
    subset(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f154,hypothesis,
    subset(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f155,negated_conjecture,
    ~ subset(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f240,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subset(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f67]) ).

fof(f241,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f240]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(f17(X0,X1),X0) ),
    inference(cnf_transformation,[status(esa)],[f68]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(f17(X0,X1),X1) ),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f347,plain,
    subset(a,b),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f348,plain,
    subset(b,c),
    inference(cnf_transformation,[status(esa)],[f154]) ).

fof(f349,plain,
    ~ subset(a,c),
    inference(cnf_transformation,[status(esa)],[f155]) ).

fof(f380,plain,
    ! [X0] :
      ( ~ member(X0,b)
      | member(X0,c) ),
    inference(resolution,[status(thm)],[f241,f348]) ).

fof(f381,plain,
    ! [X0] :
      ( ~ member(X0,a)
      | member(X0,b) ),
    inference(resolution,[status(thm)],[f241,f347]) ).

fof(f566,plain,
    ! [X0] :
      ( subset(X0,c)
      | ~ member(f17(X0,c),b) ),
    inference(resolution,[status(thm)],[f243,f380]) ).

fof(f767,plain,
    ! [X0] :
      ( subset(X0,c)
      | ~ member(f17(X0,c),a) ),
    inference(resolution,[status(thm)],[f566,f381]) ).

fof(f768,plain,
    ( spl0_47
  <=> subset(a,c) ),
    introduced(split_symbol_definition) ).

fof(f769,plain,
    ( subset(a,c)
    | ~ spl0_47 ),
    inference(component_clause,[status(thm)],[f768]) ).

fof(f771,plain,
    ( subset(a,c)
    | subset(a,c) ),
    inference(resolution,[status(thm)],[f767,f242]) ).

fof(f772,plain,
    spl0_47,
    inference(split_clause,[status(thm)],[f771,f768]) ).

fof(f773,plain,
    ( $false
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[status(thm)],[f769,f349]) ).

fof(f774,plain,
    ~ spl0_47,
    inference(contradiction_clause,[status(thm)],[f773]) ).

fof(f775,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f772,f774]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET027-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 21:09:18 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39  % Elapsed time: 0.038283 seconds
% 0.13/0.39  % CPU time: 0.143883 seconds
% 0.13/0.39  % Total memory used: 29.082 MB
% 0.13/0.39  % Net memory used: 28.960 MB
%------------------------------------------------------------------------------