%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT003-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :   19 (  19   !;   0   ?)

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

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

fof(f15,hypothesis,
    compose(h,a) = compose(g,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    g != h,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,plain,
    ! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f31,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( compose(X,compose(a,b)) != Y
          | compose(Z,compose(a,b)) != Y )
      | X = Z ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( compose(X0,compose(a,b)) != X1
      | compose(X2,compose(a,b)) != X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f34,plain,
    compose(h,a) = compose(g,a),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f35,plain,
    g != h,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( compose(X0,compose(a,b)) != compose(X1,compose(a,b))
      | X1 = X0 ),
    inference(destructive_equality_resolution,[status(esa)],[f32]) ).

fof(f137,plain,
    ! [X0] : compose(g,compose(a,X0)) = compose(compose(h,a),X0),
    inference(paramodulation,[status(thm)],[f34,f27]) ).

fof(f138,plain,
    ! [X0] : compose(g,compose(a,X0)) = compose(h,compose(a,X0)),
    inference(forward_demodulation,[status(thm)],[f27,f137]) ).

fof(f168,plain,
    h = g,
    inference(resolution,[status(thm)],[f138,f37]) ).

fof(f169,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f168,f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : CAT003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n022.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 22:11:28 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % 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
% 0.15/0.32  % Elapsed time: 0.015512 seconds
% 0.15/0.32  % CPU time: 0.029195 seconds
% 0.15/0.32  % Total memory used: 8.613 MB
% 0.15/0.32  % Net memory used: 8.595 MB
%------------------------------------------------------------------------------