%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : HWV052-1.001.001 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:22:12 EDT 2024

% Result   : Unsatisfiable 0.17s 0.62s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :   53 (  52 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   32 (   4   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( X = o
      | X = i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] : inv(X) != X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X1] : unpack1(X1,pack1(X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X1] : unpack1(inv(X1),pack1(X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X1] : unpack1(X1,inv(pack1(X1))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0] :
      ( X0 = o
      | X0 = i ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0] : inv(X0) != X0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0] : unpack1(X0,pack1(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0] : unpack1(inv(X0),pack1(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ! [X0] : unpack1(X0,inv(pack1(X0))) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( X0 = o
      | X0 = X1
      | X1 = o ),
    inference(paramodulation,[status(thm)],[f6,f6]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = o
      | X0 = X1
      | X1 = X2
      | X3 = o
      | X3 = X2 ),
    inference(paramodulation,[status(thm)],[f12,f12]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( X0 = o
      | X1 = X2
      | X0 = X2
      | o != X1
      | X0 = X1 ),
    inference(equality_factoring,[status(esa)],[f37]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( X0 = o
      | X1 = X2
      | X0 = X2
      | X0 = X1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f124,f12]) ).

fof(f168,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | X2 = X0
      | o != X1
      | X2 = X1 ),
    inference(equality_factoring,[status(esa)],[f125]) ).

fof(f169,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | X2 = X0
      | X2 = X1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f168,f125]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( X0 = X1
      | inv(X0) = X1 ),
    inference(resolution,[status(thm)],[f169,f7]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( unpack1(X0,X1) = X0
      | pack1(X0) = X1 ),
    inference(paramodulation,[status(thm)],[f177,f10]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( unpack1(X0,pack1(X1)) = X1
      | X1 = X0 ),
    inference(paramodulation,[status(thm)],[f177,f9]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( X0 = X1
      | X1 = X0
      | pack1(X0) = pack1(X1) ),
    inference(paramodulation,[status(thm)],[f192,f193]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( X0 = X1
      | pack1(X0) = pack1(X1) ),
    inference(duplicate_literals_removal,[status(esa)],[f217]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( unpack1(X0,pack1(X1)) = X0
      | X0 = X1 ),
    inference(paramodulation,[status(thm)],[f218,f8]) ).

fof(f261,plain,
    ! [X0] :
      ( X0 = inv(X0)
      | inv(X0) = X0 ),
    inference(paramodulation,[status(thm)],[f9,f249]) ).

fof(f262,plain,
    ! [X0] : X0 = inv(X0),
    inference(duplicate_literals_removal,[status(esa)],[f261]) ).

fof(f263,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f262,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.36  % Problem  : HWV052-1.001.001 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.37  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.17/0.60  % Computer : n027.cluster.edu
% 0.17/0.60  % Model    : x86_64 x86_64
% 0.17/0.60  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.60  % Memory   : 8042.1875MB
% 0.17/0.60  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.60  % CPULimit : 300
% 0.17/0.60  % WCLimit  : 300
% 0.17/0.60  % DateTime : Tue Apr 30 01:38:32 EDT 2024
% 0.17/0.61  % CPUTime  : 
% 0.17/0.61  % Drodi V3.6.0
% 0.17/0.62  % Refutation found
% 0.17/0.62  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.63  % Elapsed time: 0.017774 seconds
% 0.17/0.63  % CPU time: 0.067178 seconds
% 0.17/0.63  % Total memory used: 1.775 MB
% 0.17/0.63  % Net memory used: 1.665 MB
%------------------------------------------------------------------------------