%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT004-3 : 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 20:13:17 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% 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(f19,hypothesis,
    ! [X,Y,Z] :
      ( compose(X,a) != Y
      | compose(Z,a) != Y
      | X = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    ! [X,Y,Z] :
      ( compose(X,b) != Y
      | compose(Z,b) != Y
      | X = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,hypothesis,
    compose(h,compose(a,b)) = compose(g,compose(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    h != g,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,plain,
    ! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f46,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( compose(X,a) != Y
          | compose(Z,a) != Y )
      | X = Z ),
    inference(miniscoping,[status(esa)],[f19]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( compose(X0,a) != X1
      | compose(X2,a) != X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f48,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( compose(X,b) != Y
          | compose(Z,b) != Y )
      | X = Z ),
    inference(miniscoping,[status(esa)],[f20]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( compose(X0,b) != X1
      | compose(X2,b) != X1
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f51,plain,
    compose(h,compose(a,b)) = compose(g,compose(a,b)),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f52,plain,
    h != g,
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( compose(X0,a) != compose(X1,a)
      | X1 = X0 ),
    inference(destructive_equality_resolution,[status(esa)],[f47]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( compose(X0,b) != compose(X1,b)
      | X1 = X0 ),
    inference(destructive_equality_resolution,[status(esa)],[f49]) ).

fof(f58,plain,
    compose(compose(h,a),b) = compose(g,compose(a,b)),
    inference(forward_demodulation,[status(thm)],[f34,f51]) ).

fof(f59,plain,
    compose(compose(h,a),b) = compose(compose(g,a),b),
    inference(forward_demodulation,[status(thm)],[f34,f58]) ).

fof(f72,plain,
    compose(g,a) = compose(h,a),
    inference(resolution,[status(thm)],[f57,f59]) ).

fof(f78,plain,
    h = g,
    inference(resolution,[status(thm)],[f72,f56]) ).

fof(f79,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f78,f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % 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 21:46:03 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.022797 seconds
% 0.13/0.37  % CPU time: 0.050986 seconds
% 0.13/0.37  % Total memory used: 15.287 MB
% 0.13/0.37  % Net memory used: 15.219 MB
%------------------------------------------------------------------------------