%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:13:16 EDT 2024

% Result   : Unsatisfiable 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   33 (  32 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X,Y,Z] : compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    ! [X,Y,Z] :
      ( compose(a,X) != Y
      | compose(a,Z) != Y
      | X = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    ! [X,Y,Z] :
      ( compose(b,X) != Y
      | compose(b,Z) != Y
      | X = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,hypothesis,
    compose(compose(a,b),h) = compose(compose(a,b),g),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    g != h,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,plain,
    ! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f32,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( compose(a,X) != Y
          | compose(a,Z) != Y )
      | X = Z ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( compose(a,X0) != X1
      | compose(a,X2) != X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f34,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( compose(b,X) != Y
          | compose(b,Z) != Y )
      | X = Z ),
    inference(miniscoping,[status(esa)],[f14]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( compose(b,X0) != X1
      | compose(b,X2) != X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f37,plain,
    compose(compose(a,b),h) = compose(compose(a,b),g),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f38,plain,
    g != h,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( compose(a,X0) != compose(a,X1)
      | X1 = X0 ),
    inference(destructive_equality_resolution,[status(esa)],[f33]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( compose(b,X0) != compose(b,X1)
      | X1 = X0 ),
    inference(destructive_equality_resolution,[status(esa)],[f35]) ).

fof(f136,plain,
    compose(compose(a,b),h) = compose(a,compose(b,g)),
    inference(backward_demodulation,[status(thm)],[f28,f37]) ).

fof(f137,plain,
    compose(a,compose(b,h)) = compose(a,compose(b,g)),
    inference(forward_demodulation,[status(thm)],[f28,f136]) ).

fof(f172,plain,
    compose(b,g) = compose(b,h),
    inference(resolution,[status(thm)],[f137,f40]) ).

fof(f228,plain,
    h = g,
    inference(resolution,[status(thm)],[f172,f41]) ).

fof(f229,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f228,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n009.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 22:08:56 EDT 2024
% 0.09/0.31  % 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
% 0.15/0.33  % Elapsed time: 0.020295 seconds
% 0.15/0.33  % CPU time: 0.029677 seconds
% 0.15/0.33  % Total memory used: 8.686 MB
% 0.15/0.33  % Net memory used: 8.641 MB
%------------------------------------------------------------------------------