TPTP Problem File: SWV485+1.p

View Solutions - Solve Problem

%------------------------------------------------------------------------------
% File     : SWV485+1 : TPTP v8.2.0. Released v4.0.0.
% Domain   : Software Verification (Security)
% Problem  : PKCS11 for 4 handles and 4 keys
% Version  : [Ste09] axioms : Especial.
% English  : Attempts to prove that the intruder can learn the cleartext value
%            of a sensitive key in a paricular configuration of PKCS11.

% Refs     : [DKS08] Delaune et al. (2008), Formal Analysis of PKCS#11
%          : [Ste09] Steel (2009), Email to Geoff Sutcliffe
% Source   : [Ste09]
% Names    : 

% Status   : CounterSatisfiable
% Rating   : 0.33 v8.1.0, 0.25 v7.5.0, 0.40 v7.4.0, 0.33 v7.0.0, 0.67 v6.2.0, 0.82 v6.0.0, 0.62 v5.5.0, 0.75 v5.4.0, 0.71 v5.2.0, 0.83 v5.0.0, 1.00 v4.0.0
% Syntax   : Number of formulae    :  123 (   2 unt;   0 def)
%            Number of atoms       :  339 (  96 equ)
%            Maximal formula atoms :   97 (   2 avg)
%            Number of connectives :  216 (   0   ~;   0   |;  47   &)
%                                         (   0 <=>; 121  =>;   0  <=;  48 <~>)
%            Maximal formula depth :   99 (  51 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   0 prp; 2-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-16 aty)
%            Number of variables   : 5984 (5978   !;   6   ?)
% SPC      : FOF_CSA_RFO_SEQ

% Comments :
%------------------------------------------------------------------------------
fof(initial_state,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] : p(state(h(n1,n0,n0,n0,n0,n0,n1),h(n1,n0,n0,n0,n0,n0,n0),h(n0,n0,n0,n0,n0,n0,n0),h(n0,n0,n0,n0,n0,n0,n0)),iknows(atoms(n0,n0,n1,n0),enc(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0))) ).

%----Wrap sym=sym for hn1k1 hn1k1
fof(wrap_hn1k1_hn1k1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,n1,X1,X2,X3,X4,n1),X6,X7,X8),iknows(X9,enc(n0,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25)))
     => p(state(h(n1,n1,X1,X2,X3,X4,n1),X6,X7,X8),iknows(X9,enc(n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25))) ) ).

%----Wrap sym=sym for hn1k1 hn1k2
fof(wrap_hn1k1_hn1k2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,n1,X1,X2,X3,X4,X5),h(n1,X6,X7,X8,X9,X10,n1),X12,X13),iknows(X14,enc(X15,X16,X17,X18,n0,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,n1,X1,X2,X3,X4,X5),h(n1,X6,X7,X8,X9,X10,n1),X12,X13),iknows(X14,enc(X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k1 hn1k3
fof(wrap_hn1k1_hn1k3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,n1,X1,X2,X3,X4,X5),X6,h(n1,X7,X8,X9,X10,X11,n1),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,n0,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,n1,X1,X2,X3,X4,X5),X6,h(n1,X7,X8,X9,X10,X11,n1),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k1 hn1k4
fof(wrap_hn1k1_hn1k4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,n1,X1,X2,X3,X4,X5),X6,X7,h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n0,X28,X29,X30)))
     => p(state(h(n1,n1,X1,X2,X3,X4,X5),X6,X7,h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k2 hn1k1
fof(wrap_hn1k2_hn1k1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,X3,X4,n1),h(n1,n1,X7,X8,X9,X10,X11),X12,X13),iknows(X14,enc(X15,n0,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,X0,X1,X2,X3,X4,n1),h(n1,n1,X7,X8,X9,X10,X11),X12,X13),iknows(X14,enc(X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k2 hn1k2
fof(wrap_hn1k2_hn1k2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,n1,X2,X3,X4,X5,n1),X7,X8),iknows(X9,enc(X10,X11,X12,X13,X14,n0,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25)))
     => p(state(X0,h(n1,n1,X2,X3,X4,X5,n1),X7,X8),iknows(X9,enc(X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25))) ) ).

%----Wrap sym=sym for hn1k2 hn1k3
fof(wrap_hn1k2_hn1k3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,n1,X2,X3,X4,X5,X6),h(n1,X7,X8,X9,X10,X11,n1),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,X25,X26,X27,X28,X29,X30)))
     => p(state(X0,h(n1,n1,X2,X3,X4,X5,X6),h(n1,X7,X8,X9,X10,X11,n1),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k2 hn1k4
fof(wrap_hn1k2_hn1k4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,n1,X2,X3,X4,X5,X6),X7,h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n0,X29,X30)))
     => p(state(X0,h(n1,n1,X2,X3,X4,X5,X6),X7,h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1,X29,X30))) ) ).

%----Wrap sym=sym for hn1k3 hn1k1
fof(wrap_hn1k3_hn1k1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,X3,X4,n1),X6,h(n1,n1,X8,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,n0,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,X0,X1,X2,X3,X4,n1),X6,h(n1,n1,X8,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k3 hn1k2
fof(wrap_hn1k3_hn1k2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,X3,X4,X5,n1),h(n1,n1,X8,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,n0,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(X0,h(n1,X1,X2,X3,X4,X5,n1),h(n1,n1,X8,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k3 hn1k3
fof(wrap_hn1k3_hn1k3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,n1,X3,X4,X5,X6,n1),X8),iknows(X9,enc(X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,X21,X22,X23,X24,X25)))
     => p(state(X0,X1,h(n1,n1,X3,X4,X5,X6,n1),X8),iknows(X9,enc(X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25))) ) ).

%----Wrap sym=sym for hn1k3 hn1k4
fof(wrap_hn1k3_hn1k4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,n1,X3,X4,X5,X6,X7),h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,n0,X30)))
     => p(state(X0,X1,h(n1,n1,X3,X4,X5,X6,X7),h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,n1,X30))) ) ).

%----Wrap sym=sym for hn1k4 hn1k1
fof(wrap_hn1k4_hn1k1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,X3,X4,n1),X6,X7,h(n1,n1,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,n0,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,X0,X1,X2,X3,X4,n1),X6,X7,h(n1,n1,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k4 hn1k2
fof(wrap_hn1k4_hn1k2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,X3,X4,X5,n1),X7,h(n1,n1,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,n0,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(X0,h(n1,X1,X2,X3,X4,X5,n1),X7,h(n1,n1,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k4 hn1k3
fof(wrap_hn1k4_hn1k3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,X4,X5,X6,n1),h(n1,n1,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0,X27,X28,X29,X30)))
     => p(state(X0,X1,h(n1,X2,X3,X4,X5,X6,n1),h(n1,n1,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28,X29,X30))) ) ).

%----Wrap sym=sym for hn1k4 hn1k4
fof(wrap_hn1k4_hn1k4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,n1,X4,X5,X6,X7,n1)),iknows(X9,enc(X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0)))
     => p(state(X0,X1,X2,h(n1,n1,X4,X5,X6,X7,n1)),iknows(X9,enc(X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1))) ) ).

%----Unwrap sym=sym for hn1k1 hn1k1
fof(unwrap_hn1k1_hn1k1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,n1,X2,X3,X4,X5),X6,X7,X8),iknows(X9,enc(n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25)))
     => p(state(h(n1,X0,n1,X2,X3,X4,n1),X6,X7,X8),iknows(X9,enc(n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25))) ) ).

%----Unwrap sym=sym for hn1k1 hn1k2
fof(unwrap_hn1k1_hn1k2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,n1,X2,X3,X4,X5),h(n0,X6,X7,X8,X9,X10,X11),X12,X13),iknows(X14,enc(X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,X0,n1,X2,X3,X4,X5),h(n1,X6,X7,X8,X9,X10,n1),X12,X13),iknows(X14,enc(X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k1 hn1k3
fof(unwrap_hn1k1_hn1k3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,n1,X2,X3,X4,X5),X6,h(n0,X7,X8,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,X0,n1,X2,X3,X4,X5),X6,h(n1,X7,X8,X9,X10,X11,n1),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k1 hn1k4
fof(unwrap_hn1k1_hn1k4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,n1,X2,X3,X4,X5),X6,X7,h(n0,X8,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28,X29,X30)))
     => p(state(h(n1,X0,n1,X2,X3,X4,X5),X6,X7,h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k2 hn1k1
fof(unwrap_hn1k2_hn1k1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n0,X0,X1,X2,X3,X4,X5),h(n1,X6,n1,X8,X9,X10,X11),X12,X13),iknows(X14,enc(X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,X0,X1,X2,X3,X4,n1),h(n1,X6,n1,X8,X9,X10,X11),X12,X13),iknows(X14,enc(X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k2 hn1k2
fof(unwrap_hn1k2_hn1k2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,n1,X3,X4,X5,X6),X7,X8),iknows(X9,enc(X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25)))
     => p(state(X0,h(n1,X1,n1,X3,X4,X5,n1),X7,X8),iknows(X9,enc(X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25))) ) ).

%----Unwrap sym=sym for hn1k2 hn1k3
fof(unwrap_hn1k2_hn1k3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,n1,X3,X4,X5,X6),h(n0,X7,X8,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28,X29,X30)))
     => p(state(X0,h(n1,X1,n1,X3,X4,X5,X6),h(n1,X7,X8,X9,X10,X11,n1),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k2 hn1k4
fof(unwrap_hn1k2_hn1k4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,n1,X3,X4,X5,X6),X7,h(n0,X8,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1,X29,X30)))
     => p(state(X0,h(n1,X1,n1,X3,X4,X5,X6),X7,h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k3 hn1k1
fof(unwrap_hn1k3_hn1k1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n0,X0,X1,X2,X3,X4,X5),X6,h(n1,X7,n1,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,X0,X1,X2,X3,X4,n1),X6,h(n1,X7,n1,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k3 hn1k2
fof(unwrap_hn1k3_hn1k2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n0,X1,X2,X3,X4,X5,X6),h(n1,X7,n1,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(X0,h(n1,X1,X2,X3,X4,X5,n1),h(n1,X7,n1,X9,X10,X11,X12),X13),iknows(X14,enc(X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k3 hn1k3
fof(unwrap_hn1k3_hn1k3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,n1,X4,X5,X6,X7),X8),iknows(X9,enc(X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25)))
     => p(state(X0,X1,h(n1,X2,n1,X4,X5,X6,n1),X8),iknows(X9,enc(X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25))) ) ).

%----Unwrap sym=sym for hn1k3 hn1k4
fof(unwrap_hn1k3_hn1k4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,n1,X4,X5,X6,X7),h(n0,X8,X9,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,n1,X30)))
     => p(state(X0,X1,h(n1,X2,n1,X4,X5,X6,X7),h(n1,X8,X9,X10,X11,X12,n1)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,n1,X30))) ) ).

%----Unwrap sym=sym for hn1k4 hn1k1
fof(unwrap_hn1k4_hn1k1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n0,X0,X1,X2,X3,X4,X5),X6,X7,h(n1,X8,n1,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(h(n1,X0,X1,X2,X3,X4,n1),X6,X7,h(n1,X8,n1,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k4 hn1k2
fof(unwrap_hn1k4_hn1k2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n0,X1,X2,X3,X4,X5,X6),X7,h(n1,X8,n1,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28,X29,X30)))
     => p(state(X0,h(n1,X1,X2,X3,X4,X5,n1),X7,h(n1,X8,n1,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k4 hn1k3
fof(unwrap_hn1k4_hn1k3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n0,X2,X3,X4,X5,X6,X7),h(n1,X8,n1,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28,X29,X30)))
     => p(state(X0,X1,h(n1,X2,X3,X4,X5,X6,n1),h(n1,X8,n1,X10,X11,X12,X13)),iknows(X14,enc(X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28,X29,X30))) ) ).

%----Unwrap sym=sym for hn1k4 hn1k4
fof(unwrap_hn1k4_hn1k4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,n1,X5,X6,X7,X8)),iknows(X9,enc(X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1)))
     => p(state(X0,X1,X2,h(n1,X3,n1,X5,X6,X7,n1)),iknows(X9,enc(X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1))) ) ).

%----Set attribute for hn1k1 wrap
fof(set_attr_hn1k1_wrap_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,n0,n0,X2,n0,X4,X5),X6,X7,X8),X9)
     => p(state(h(n1,n1,n0,X2,n0,X4,X5),X6,X7,X8),X9) ) ).

%----Set attribute for hn1k1 unwrap
fof(set_attr_hn1k1_unwrap_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,n0,n0,n0,X3,X4,X5),X6,X7,X8),X9)
     => p(state(h(n1,n0,n1,n0,X3,X4,X5),X6,X7,X8),X9) ) ).

%----Set attribute for hn1k1 encrypt
fof(set_attr_hn1k1_encrypt_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,n0,n0,n0,X3,X4,X5),X6,X7,X8),X9)
     => p(state(h(n1,n0,n0,n1,X3,X4,X5),X6,X7,X8),X9) ) ).

%----Set attribute for hn1k1 decrypt
fof(set_attr_hn1k1_decrypt_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,n0,X1,X2,n0,X4,X5),X6,X7,X8),X9)
     => p(state(h(n1,n0,X1,X2,n1,X4,X5),X6,X7,X8),X9) ) ).

%----Set attribute for hn1k1 sensitive
fof(set_attr_hn1k1_sensitive_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,X3,n0,X5),X6,X7,X8),X9)
     => p(state(h(n1,X0,X1,X2,X3,n1,X5),X6,X7,X8),X9) ) ).

%----Set attribute for hn1k2 wrap
fof(set_attr_hn1k2_wrap_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,n0,n0,X3,n0,X5,X6),X7,X8),X9)
     => p(state(X0,h(n1,n1,n0,X3,n0,X5,X6),X7,X8),X9) ) ).

%----Set attribute for hn1k2 unwrap
fof(set_attr_hn1k2_unwrap_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,n0,n0,n0,X4,X5,X6),X7,X8),X9)
     => p(state(X0,h(n1,n0,n1,n0,X4,X5,X6),X7,X8),X9) ) ).

%----Set attribute for hn1k2 encrypt
fof(set_attr_hn1k2_encrypt_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,n0,n0,n0,X4,X5,X6),X7,X8),X9)
     => p(state(X0,h(n1,n0,n0,n1,X4,X5,X6),X7,X8),X9) ) ).

%----Set attribute for hn1k2 decrypt
fof(set_attr_hn1k2_decrypt_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,n0,X2,X3,n0,X5,X6),X7,X8),X9)
     => p(state(X0,h(n1,n0,X2,X3,n1,X5,X6),X7,X8),X9) ) ).

%----Set attribute for hn1k2 sensitive
fof(set_attr_hn1k2_sensitive_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,X3,X4,n0,X6),X7,X8),X9)
     => p(state(X0,h(n1,X1,X2,X3,X4,n1,X6),X7,X8),X9) ) ).

%----Set attribute for hn1k3 wrap
fof(set_attr_hn1k3_wrap_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,n0,n0,X4,n0,X6,X7),X8),X9)
     => p(state(X0,X1,h(n1,n1,n0,X4,n0,X6,X7),X8),X9) ) ).

%----Set attribute for hn1k3 unwrap
fof(set_attr_hn1k3_unwrap_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,n0,n0,n0,X5,X6,X7),X8),X9)
     => p(state(X0,X1,h(n1,n0,n1,n0,X5,X6,X7),X8),X9) ) ).

%----Set attribute for hn1k3 encrypt
fof(set_attr_hn1k3_encrypt_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,n0,n0,n0,X5,X6,X7),X8),X9)
     => p(state(X0,X1,h(n1,n0,n0,n1,X5,X6,X7),X8),X9) ) ).

%----Set attribute for hn1k3 decrypt
fof(set_attr_hn1k3_decrypt_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,n0,X3,X4,n0,X6,X7),X8),X9)
     => p(state(X0,X1,h(n1,n0,X3,X4,n1,X6,X7),X8),X9) ) ).

%----Set attribute for hn1k3 sensitive
fof(set_attr_hn1k3_sensitive_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,X4,X5,n0,X7),X8),X9)
     => p(state(X0,X1,h(n1,X2,X3,X4,X5,n1,X7),X8),X9) ) ).

%----Set attribute for hn1k4 wrap
fof(set_attr_hn1k4_wrap_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,n0,n0,X5,n0,X7,X8)),X9)
     => p(state(X0,X1,X2,h(n1,n1,n0,X5,n0,X7,X8)),X9) ) ).

%----Set attribute for hn1k4 unwrap
fof(set_attr_hn1k4_unwrap_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,n0,n0,n0,X6,X7,X8)),X9)
     => p(state(X0,X1,X2,h(n1,n0,n1,n0,X6,X7,X8)),X9) ) ).

%----Set attribute for hn1k4 encrypt
fof(set_attr_hn1k4_encrypt_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,n0,n0,n0,X6,X7,X8)),X9)
     => p(state(X0,X1,X2,h(n1,n0,n0,n1,X6,X7,X8)),X9) ) ).

%----Set attribute for hn1k4 decrypt
fof(set_attr_hn1k4_decrypt_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,n0,X4,X5,n0,X7,X8)),X9)
     => p(state(X0,X1,X2,h(n1,n0,X4,X5,n1,X7,X8)),X9) ) ).

%----Set attribute for hn1k4 sensitive
fof(set_attr_hn1k4_sensitive_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,X5,X6,n0,X8)),X9)
     => p(state(X0,X1,X2,h(n1,X3,X4,X5,X6,n1,X8)),X9) ) ).

%----Unset attribute for hn1k1 extractable
fof(set_attr_hn1k1_extractable_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,X3,X4,n1),X6,X7,X8),X9)
     => p(state(h(n1,X0,X1,X2,X3,X4,n0),X6,X7,X8),X9) ) ).

%----Unset attribute for hn1k2 extractable
fof(set_attr_hn1k2_extractable_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,X3,X4,X5,n1),X7,X8),X9)
     => p(state(X0,h(n1,X1,X2,X3,X4,X5,n0),X7,X8),X9) ) ).

%----Unset attribute for hn1k3 extractable
fof(set_attr_hn1k3_extractable_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,X4,X5,X6,n1),X8),X9)
     => p(state(X0,X1,h(n1,X2,X3,X4,X5,X6,n0),X8),X9) ) ).

%----Unset attribute for hn1k4 extractable
fof(set_attr_hn1k4_extractable_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,X5,X6,X7,n1)),X9)
     => p(state(X0,X1,X2,h(n1,X3,X4,X5,X6,X7,n0)),X9) ) ).

%----Decrypt hn1k1 k1Enck1
fof(decrypt_hn1k1_k1Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,n1,X4,X5),X6,X7,X8),iknows(atoms(n0,X10,X11,X12),enc(n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(h(n1,X0,X1,X2,n1,X4,X5),X6,X7,X8),iknows(atoms(n1,X10,X11,X12),enc(n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k1 k2Enck1
fof(decrypt_hn1k1_k2Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,n1,X4,X5),X6,X7,X8),iknows(atoms(X9,n0,X11,X12),enc(X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(h(n1,X0,X1,X2,n1,X4,X5),X6,X7,X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k1 k3Enck1
fof(decrypt_hn1k1_k3Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,n1,X4,X5),X6,X7,X8),iknows(atoms(X9,X10,n0,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(h(n1,X0,X1,X2,n1,X4,X5),X6,X7,X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k1 k4Enck1
fof(decrypt_hn1k1_k4Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,X2,n1,X4,X5),X6,X7,X8),iknows(atoms(X9,X10,X11,n0),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,X26,X27,X28)))
     => p(state(h(n1,X0,X1,X2,n1,X4,X5),X6,X7,X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,X26,X27,X28))) ) ).

%----Decrypt hn1k2 k1Enck2
fof(decrypt_hn1k2_k1Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,X3,n1,X5,X6),X7,X8),iknows(atoms(n0,X10,X11,X12),enc(X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,h(n1,X1,X2,X3,n1,X5,X6),X7,X8),iknows(atoms(n1,X10,X11,X12),enc(X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k2 k2Enck2
fof(decrypt_hn1k2_k2Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,X3,n1,X5,X6),X7,X8),iknows(atoms(X9,n0,X11,X12),enc(X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,h(n1,X1,X2,X3,n1,X5,X6),X7,X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k2 k3Enck2
fof(decrypt_hn1k2_k3Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,X3,n1,X5,X6),X7,X8),iknows(atoms(X9,X10,n0,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,h(n1,X1,X2,X3,n1,X5,X6),X7,X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k2 k4Enck2
fof(decrypt_hn1k2_k4Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,X3,n1,X5,X6),X7,X8),iknows(atoms(X9,X10,X11,n0),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28)))
     => p(state(X0,h(n1,X1,X2,X3,n1,X5,X6),X7,X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28))) ) ).

%----Decrypt hn1k3 k1Enck3
fof(decrypt_hn1k3_k1Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,X4,n1,X6,X7),X8),iknows(atoms(n0,X10,X11,X12),enc(X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,h(n1,X2,X3,X4,n1,X6,X7),X8),iknows(atoms(n1,X10,X11,X12),enc(X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k3 k2Enck3
fof(decrypt_hn1k3_k2Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,X4,n1,X6,X7),X8),iknows(atoms(X9,n0,X11,X12),enc(X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,h(n1,X2,X3,X4,n1,X6,X7),X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k3 k3Enck3
fof(decrypt_hn1k3_k3Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,X4,n1,X6,X7),X8),iknows(atoms(X9,X10,n0,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,h(n1,X2,X3,X4,n1,X6,X7),X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k3 k4Enck3
fof(decrypt_hn1k3_k4Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,X4,n1,X6,X7),X8),iknows(atoms(X9,X10,X11,n0),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28)))
     => p(state(X0,X1,h(n1,X2,X3,X4,n1,X6,X7),X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28))) ) ).

%----Decrypt hn1k4 k1Enck4
fof(decrypt_hn1k4_k1Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,X5,n1,X7,X8)),iknows(atoms(n0,X10,X11,X12),enc(X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,X2,h(n1,X3,X4,X5,n1,X7,X8)),iknows(atoms(n1,X10,X11,X12),enc(X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k4 k2Enck4
fof(decrypt_hn1k4_k2Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,X5,n1,X7,X8)),iknows(atoms(X9,n0,X11,X12),enc(X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,X2,h(n1,X3,X4,X5,n1,X7,X8)),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k4 k3Enck4
fof(decrypt_hn1k4_k3Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,X5,n1,X7,X8)),iknows(atoms(X9,X10,n0,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28)))
     => p(state(X0,X1,X2,h(n1,X3,X4,X5,n1,X7,X8)),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28))) ) ).

%----Decrypt hn1k4 k4Enck4
fof(decrypt_hn1k4_k4Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,X5,n1,X7,X8)),iknows(atoms(X9,X10,X11,n0),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1)))
     => p(state(X0,X1,X2,h(n1,X3,X4,X5,n1,X7,X8)),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1))) ) ).

%----Encrypt hn1k1 k1Enck1
fof(encrypt_hn1k1_k1Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,n1,X3,X4,X5),X6,X7,X8),iknows(atoms(n1,X10,X11,X12),enc(n0,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(h(n1,X0,X1,n1,X3,X4,X5),X6,X7,X8),iknows(atoms(n1,X10,X11,X12),enc(n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k1 k2Enck1
fof(encrypt_hn1k1_k2Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,n1,X3,X4,X5),X6,X7,X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,n0,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(h(n1,X0,X1,n1,X3,X4,X5),X6,X7,X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k1 k3Enck1
fof(encrypt_hn1k1_k3Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,n1,X3,X4,X5),X6,X7,X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,n0,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(h(n1,X0,X1,n1,X3,X4,X5),X6,X7,X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k1 k4Enck1
fof(encrypt_hn1k1_k4Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(n1,X0,X1,n1,X3,X4,X5),X6,X7,X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,X26,X27,X28)))
     => p(state(h(n1,X0,X1,n1,X3,X4,X5),X6,X7,X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,X26,X27,X28))) ) ).

%----Encrypt hn1k2 k1Enck2
fof(encrypt_hn1k2_k1Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,n1,X4,X5,X6),X7,X8),iknows(atoms(n1,X10,X11,X12),enc(X13,n0,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,h(n1,X1,X2,n1,X4,X5,X6),X7,X8),iknows(atoms(n1,X10,X11,X12),enc(X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k2 k2Enck2
fof(encrypt_hn1k2_k2Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,n1,X4,X5,X6),X7,X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,n0,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,h(n1,X1,X2,n1,X4,X5,X6),X7,X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k2 k3Enck2
fof(encrypt_hn1k2_k3Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,n1,X4,X5,X6),X7,X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,h(n1,X1,X2,n1,X4,X5,X6),X7,X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k2 k4Enck2
fof(encrypt_hn1k2_k4Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,h(n1,X1,X2,n1,X4,X5,X6),X7,X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0,X27,X28)))
     => p(state(X0,h(n1,X1,X2,n1,X4,X5,X6),X7,X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28))) ) ).

%----Encrypt hn1k3 k1Enck3
fof(encrypt_hn1k3_k1Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,n1,X5,X6,X7),X8),iknows(atoms(n1,X10,X11,X12),enc(X13,X14,n0,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,h(n1,X2,X3,n1,X5,X6,X7),X8),iknows(atoms(n1,X10,X11,X12),enc(X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k3 k2Enck3
fof(encrypt_hn1k3_k2Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,n1,X5,X6,X7),X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,X18,n0,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,h(n1,X2,X3,n1,X5,X6,X7),X8),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k3 k3Enck3
fof(encrypt_hn1k3_k3Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,n1,X5,X6,X7),X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,h(n1,X2,X3,n1,X5,X6,X7),X8),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k3 k4Enck3
fof(encrypt_hn1k3_k4Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,h(n1,X2,X3,n1,X5,X6,X7),X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n0,X28)))
     => p(state(X0,X1,h(n1,X2,X3,n1,X5,X6,X7),X8),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28))) ) ).

%----Encrypt hn1k4 k1Enck4
fof(encrypt_hn1k4_k1Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,n1,X6,X7,X8)),iknows(atoms(n1,X10,X11,X12),enc(X13,X14,X15,n0,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,X2,h(n1,X3,X4,n1,X6,X7,X8)),iknows(atoms(n1,X10,X11,X12),enc(X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k4 k2Enck4
fof(encrypt_hn1k4_k2Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,n1,X6,X7,X8)),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,X18,X19,n0,X21,X22,X23,X24,X25,X26,X27,X28)))
     => p(state(X0,X1,X2,h(n1,X3,X4,n1,X6,X7,X8)),iknows(atoms(X9,n1,X11,X12),enc(X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k4 k3Enck4
fof(encrypt_hn1k4_k3Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,n1,X6,X7,X8)),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,X25,X26,X27,X28)))
     => p(state(X0,X1,X2,h(n1,X3,X4,n1,X6,X7,X8)),iknows(atoms(X9,X10,n1,X12),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28))) ) ).

%----Encrypt hn1k4 k4Enck4
fof(encrypt_hn1k4_k4Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,h(n1,X3,X4,n1,X6,X7,X8)),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n0)))
     => p(state(X0,X1,X2,h(n1,X3,X4,n1,X6,X7,X8)),iknows(atoms(X9,X10,X11,n1),enc(X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1))) ) ).

%----Intruder encrypt k1Enck1
fof(encrypt_k1Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,X7),enc(n0,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,X7),enc(n1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k2Enck1
fof(encrypt_k2Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,n1,X6,X7),enc(X8,X9,X10,X11,n0,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,n1,X6,X7),enc(X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k3Enck1
fof(encrypt_k3Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,n0,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k4Enck1
fof(encrypt_k4Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23))) ) ).

%----Intruder encrypt k1Enck2
fof(encrypt_k1Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,n1,X6,X7),enc(X8,n0,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,n1,X6,X7),enc(X8,n1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k2Enck2
fof(encrypt_k2Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,X7),enc(X8,X9,X10,X11,X12,n0,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,X7),enc(X8,X9,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k3Enck2
fof(encrypt_k3Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k4Enck2
fof(encrypt_k4Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23))) ) ).

%----Intruder encrypt k1Enck3
fof(encrypt_k1Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,n1,X7),enc(X8,X9,n0,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,n1,X7),enc(X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k2Enck3
fof(encrypt_k2Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,n1,X7),enc(X8,X9,X10,X11,X12,X13,n0,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,n1,X7),enc(X8,X9,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k3Enck3
fof(encrypt_k3Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k4Enck3
fof(encrypt_k4Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23))) ) ).

%----Intruder encrypt k1Enck4
fof(encrypt_k1Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,n1),enc(X8,X9,X10,n0,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,n1),enc(X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k2Enck4
fof(encrypt_k2Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,n0,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k3Enck4
fof(encrypt_k3Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23))) ) ).

%----Intruder encrypt k4Enck4
fof(encrypt_k4Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1))) ) ).

%----Intruder decrypt k1Enck1
fof(intruder_decrypt_k1Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,X7),enc(n1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,X7),enc(n1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k2Enck1
fof(intruder_decrypt_k2Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,n0,X6,X7),enc(X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,X7),enc(X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k3Enck1
fof(intruder_decrypt_k3Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,n0,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k4Enck1
fof(intruder_decrypt_k4Enck1_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,n0),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23))) ) ).

%----Intruder decrypt k1Enck2
fof(intruder_decrypt_k1Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n0,n1,X6,X7),enc(X8,n1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,X7),enc(X8,n1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k2Enck2
fof(intruder_decrypt_k2Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,X7),enc(X8,X9,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,X7),enc(X8,X9,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k3Enck2
fof(intruder_decrypt_k3Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,n0,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k4Enck2
fof(intruder_decrypt_k4Enck2_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,n0),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23))) ) ).

%----Intruder decrypt k1Enck3
fof(intruder_decrypt_k1Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n0,X5,n1,X7),enc(X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,X7),enc(X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k2Enck3
fof(intruder_decrypt_k2Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n0,n1,X7),enc(X8,X9,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,X7),enc(X8,X9,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k3Enck3
fof(intruder_decrypt_k3Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k4Enck3
fof(intruder_decrypt_k4Enck3_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,n0),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23))) ) ).

%----Intruder decrypt k1Enck4
fof(intruder_decrypt_k1Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(n0,X5,X6,n1),enc(X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(n1,X5,X6,X7),enc(X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k2Enck4
fof(intruder_decrypt_k2Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,n0,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,n1,X6,X7),enc(X8,X9,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k3Enck4
fof(intruder_decrypt_k3Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n0,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,n1,X7),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23))) ) ).

%----Intruder decrypt k4Enck4
fof(intruder_decrypt_k4Enck4_command,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1)))
     => p(state(X0,X1,X2,X3),iknows(atoms(X4,X5,X6,n1),enc(X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1))) ) ).

%----Domain constraints
fof(domain_constraints,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( p(state(h(X0,X1,X2,X3,X4,X5,X6),h(X7,X8,X9,X10,X11,X12,X13),h(X14,X15,X16,X17,X18,X19,X20),h(X21,X22,X23,X24,X25,X26,X27)),iknows(atoms(X28,X29,X30,X31),enc(X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47)))
     => ( ( X0 = n1
        <~> X0 = n0 )
        & ( X1 = n1
        <~> X1 = n0 )
        & ( X2 = n1
        <~> X2 = n0 )
        & ( X3 = n1
        <~> X3 = n0 )
        & ( X4 = n1
        <~> X4 = n0 )
        & ( X5 = n1
        <~> X5 = n0 )
        & ( X6 = n1
        <~> X6 = n0 )
        & ( X7 = n1
        <~> X7 = n0 )
        & ( X8 = n1
        <~> X8 = n0 )
        & ( X9 = n1
        <~> X9 = n0 )
        & ( X10 = n1
        <~> X10 = n0 )
        & ( X11 = n1
        <~> X11 = n0 )
        & ( X12 = n1
        <~> X12 = n0 )
        & ( X13 = n1
        <~> X13 = n0 )
        & ( X14 = n1
        <~> X14 = n0 )
        & ( X15 = n1
        <~> X15 = n0 )
        & ( X16 = n1
        <~> X16 = n0 )
        & ( X17 = n1
        <~> X17 = n0 )
        & ( X18 = n1
        <~> X18 = n0 )
        & ( X19 = n1
        <~> X19 = n0 )
        & ( X20 = n1
        <~> X20 = n0 )
        & ( X21 = n1
        <~> X21 = n0 )
        & ( X22 = n1
        <~> X22 = n0 )
        & ( X23 = n1
        <~> X23 = n0 )
        & ( X24 = n1
        <~> X24 = n0 )
        & ( X25 = n1
        <~> X25 = n0 )
        & ( X26 = n1
        <~> X26 = n0 )
        & ( X27 = n1
        <~> X27 = n0 )
        & ( X28 = n1
        <~> X28 = n0 )
        & ( X29 = n1
        <~> X29 = n0 )
        & ( X30 = n1
        <~> X30 = n0 )
        & ( X31 = n1
        <~> X31 = n0 )
        & ( X32 = n1
        <~> X32 = n0 )
        & ( X33 = n1
        <~> X33 = n0 )
        & ( X34 = n1
        <~> X34 = n0 )
        & ( X35 = n1
        <~> X35 = n0 )
        & ( X36 = n1
        <~> X36 = n0 )
        & ( X37 = n1
        <~> X37 = n0 )
        & ( X38 = n1
        <~> X38 = n0 )
        & ( X39 = n1
        <~> X39 = n0 )
        & ( X40 = n1
        <~> X40 = n0 )
        & ( X41 = n1
        <~> X41 = n0 )
        & ( X42 = n1
        <~> X42 = n0 )
        & ( X43 = n1
        <~> X43 = n0 )
        & ( X44 = n1
        <~> X44 = n0 )
        & ( X45 = n1
        <~> X45 = n0 )
        & ( X46 = n1
        <~> X46 = n0 )
        & ( X47 = n1
        <~> X47 = n0 ) ) ) ).

fof(co1,conjecture,
    ? [X,Y,X1,X2,X3,X4] : p(X,iknows(atoms(n1,X1,X2,X3),Y)) ).

%------------------------------------------------------------------------------