%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   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(f142,hypothesis,
    subset(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f143,hypothesis,
    subset(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f144,negated_conjecture,
    ~ subset(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f229,plain,
    ! [Y,U] :
      ( ! [X] :
          ( ~ subset(X,Y)
          | ~ member(U,X) )
      | member(U,Y) ),
    inference(miniscoping,[status(esa)],[f67]) ).

fof(f230,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f229]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(f17(X0,X1),X0) ),
    inference(cnf_transformation,[status(esa)],[f68]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(f17(X0,X1),X1) ),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f322,plain,
    subset(a,b),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f323,plain,
    subset(b,c),
    inference(cnf_transformation,[status(esa)],[f143]) ).

fof(f324,plain,
    ~ subset(a,c),
    inference(cnf_transformation,[status(esa)],[f144]) ).

fof(f339,plain,
    ! [X0] :
      ( ~ member(X0,a)
      | member(X0,b) ),
    inference(resolution,[status(thm)],[f322,f230]) ).

fof(f340,plain,
    ! [X0] :
      ( ~ member(X0,b)
      | member(X0,c) ),
    inference(resolution,[status(thm)],[f323,f230]) ).

fof(f345,plain,
    ~ member(f17(a,c),c),
    inference(resolution,[status(thm)],[f232,f324]) ).

fof(f347,plain,
    ~ member(f17(a,c),b),
    inference(resolution,[status(thm)],[f345,f340]) ).

fof(f348,plain,
    ~ member(f17(a,c),a),
    inference(resolution,[status(thm)],[f347,f339]) ).

fof(f349,plain,
    subset(a,c),
    inference(resolution,[status(thm)],[f348,f231]) ).

fof(f350,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f349,f324]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n005.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 21:48:11 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.19/0.38  % Refutation found
% 0.19/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.38  % Elapsed time: 0.029952 seconds
% 0.19/0.38  % CPU time: 0.087028 seconds
% 0.19/0.38  % Total memory used: 26.506 MB
% 0.19/0.38  % Net memory used: 26.440 MB
%------------------------------------------------------------------------------