%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT001-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:13:15 EDT 2024

% Result   : Unsatisfiable 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   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   :   22 (  22   !;   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(compose(a,b),X) != Y
      | compose(compose(a,b),Z) != Y
      | X = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    compose(b,h) = compose(b,g),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    h != g,
    file('/export/starexec/sandbox2/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(compose(a,b),X) != Y
          | compose(compose(a,b),Z) != Y )
      | X = Z ),
    inference(miniscoping,[status(esa)],[f13]) ).

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

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

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

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

fof(f327,plain,
    ! [X0,X1] :
      ( compose(a,compose(b,X0)) != compose(compose(a,b),X1)
      | X1 = X0 ),
    inference(forward_demodulation,[status(thm)],[f27,f37]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( compose(a,compose(b,X0)) != compose(a,compose(b,X1))
      | X1 = X0 ),
    inference(forward_demodulation,[status(thm)],[f27,f327]) ).

fof(f330,plain,
    ! [X0] :
      ( compose(a,compose(b,h)) != compose(a,compose(b,X0))
      | X0 = g ),
    inference(paramodulation,[status(thm)],[f34,f328]) ).

fof(f413,plain,
    h = g,
    inference(equality_resolution,[status(esa)],[f330]) ).

fof(f414,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f413,f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : CAT001-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n023.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Mon Apr 29 22:29:10 EDT 2024
% 0.06/0.26  % CPUTime  : 
% 0.06/0.27  % Drodi V3.6.0
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.28  % Elapsed time: 0.014066 seconds
% 0.06/0.28  % CPU time: 0.033816 seconds
% 0.06/0.28  % Total memory used: 10.229 MB
% 0.06/0.28  % Net memory used: 10.148 MB
%------------------------------------------------------------------------------