TPTP Problem File: SWV485+2.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWV485+2 : TPTP v8.2.0. Released v4.0.0.
% Domain : Software Verification (Security)
% Problem : PKCS11 for 4 handles and 4 keys
% Version : Especial.
% : Theorem formulation flattened to obviously EPR.
% 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 : [TPTP]
% Names :
% Status : CounterSatisfiable
% Rating : 0.33 v7.4.0, 0.00 v6.4.0, 0.33 v6.3.0, 0.75 v6.2.0, 0.86 v6.1.0, 0.83 v5.5.0, 0.60 v5.3.0, 0.75 v5.0.0, 1.00 v4.1.0, 0.80 v4.0.1, 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 : 98 ( 47 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 2-48 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 5439 (5392 !; 47 ?)
% SPC : FOF_CSA_EPR_SEQ
% Comments :
%------------------------------------------------------------------------------
fof(initial_state,axiom,
p(n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ).
fof(wrap_hn1k1_hn1k1_command,axiom,
! [X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,X4,X3,X2,X1] :
( p(n1,n1,X1,X2,X3,X4,n1,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n0,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25)
=> p(n1,n1,X1,X2,X3,X4,n1,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25) ) ).
fof(wrap_hn1k1_hn1k2_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X18,X17,X16,X15,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1] :
( p(n1,n1,X1,X2,X3,X4,X5,n1,X6,X7,X8,X9,X10,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,n0,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,n1,X1,X2,X3,X4,X5,n1,X6,X7,X8,X9,X10,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(wrap_hn1k1_hn1k3_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,E,F,G,H,I,J,K,X11,X10,X9,X8,X7,L,M,N,O,P,Q,R,X5,X4,X3,X2,X1] :
( p(n1,n1,X1,X2,X3,X4,X5,R,Q,P,O,N,M,L,n1,X7,X8,X9,X10,X11,n1,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,n0,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,n1,X1,X2,X3,X4,X5,R,Q,P,O,N,M,L,n1,X7,X8,X9,X10,X11,n1,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(wrap_hn1k1_hn1k4_command,axiom,
! [X30,X29,X28,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X12,X11,X10,X9,X8,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X5,X4,X3,X2,X1] :
( p(n1,n1,X1,X2,X3,X4,X5,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n0,X28,X29,X30)
=> p(n1,n1,X1,X2,X3,X4,X5,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28,X29,X30) ) ).
fof(wrap_hn1k2_hn1k1_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X15,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X11,X10,X9,X8,X7,X4,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,X4,n1,n1,n1,X7,X8,X9,X10,X11,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,n0,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,X0,X1,X2,X3,X4,n1,n1,n1,X7,X8,X9,X10,X11,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(wrap_hn1k2_hn1k2_command,axiom,
! [X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X14,X13,X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X5,X4,X3,X2,S,T,U,V,W,X,Y] :
( p(Y,X,W,V,U,T,S,n1,n1,X2,X3,X4,X5,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,X13,X14,n0,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25)
=> p(Y,X,W,V,U,T,S,n1,n1,X2,X3,X4,X5,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25) ) ).
fof(wrap_hn1k2_hn1k3_command,axiom,
! [X30,X29,X28,X27,X26,X25,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,E,F,G,H,I,J,K,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,n1,n1,X2,X3,X4,X5,X6,n1,X7,X8,X9,X10,X11,n1,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,X25,X26,X27,X28,X29,X30)
=> p(R,Q,P,O,N,M,L,n1,n1,X2,X3,X4,X5,X6,n1,X7,X8,X9,X10,X11,n1,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28,X29,X30) ) ).
fof(wrap_hn1k2_hn1k4_command,axiom,
! [X30,X29,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X12,X11,X10,X9,X8,E,F,G,H,I,J,K,X6,X5,X4,X3,X2,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,n1,n1,X2,X3,X4,X5,X6,K,J,I,H,G,F,E,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n0,X29,X30)
=> p(R,Q,P,O,N,M,L,n1,n1,X2,X3,X4,X5,X6,K,J,I,H,G,F,E,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1,X29,X30) ) ).
fof(wrap_hn1k3_hn1k1_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X16,X15,A,B,C,D,E,F,G,H,I,J,K,X12,X11,X10,X9,X8,L,M,N,O,P,Q,R,X4,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,X4,n1,R,Q,P,O,N,M,L,n1,n1,X8,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,n0,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,X0,X1,X2,X3,X4,n1,R,Q,P,O,N,M,L,n1,n1,X8,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(wrap_hn1k3_hn1k2_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X20,X19,X18,X17,X16,X15,A,B,C,D,E,F,G,H,I,J,K,X12,X11,X10,X9,X8,X5,X4,X3,X2,X1,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,n1,X1,X2,X3,X4,X5,n1,n1,n1,X8,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,n0,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(R,Q,P,O,N,M,L,n1,X1,X2,X3,X4,X5,n1,n1,n1,X8,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(wrap_hn1k3_hn1k3_command,axiom,
! [X25,X24,X23,X22,X21,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,X6,X5,X4,X3,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y] :
( p(Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,n1,n1,X3,X4,X5,X6,n1,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,X21,X22,X23,X24,X25)
=> p(Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,n1,n1,X3,X4,X5,X6,n1,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25) ) ).
fof(wrap_hn1k3_hn1k4_command,axiom,
! [X30,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,E,F,G,H,I,J,K,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,n1,X3,X4,X5,X6,X7,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,n0,X30)
=> p(R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,n1,X3,X4,X5,X6,X7,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,n1,X30) ) ).
fof(wrap_hn1k4_hn1k1_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X9,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X4,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,X4,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,n1,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,n0,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,X0,X1,X2,X3,X4,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,n1,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(wrap_hn1k4_hn1k2_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X9,E,F,G,H,I,J,K,X5,X4,X3,X2,X1,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,n1,X1,X2,X3,X4,X5,n1,K,J,I,H,G,F,E,n1,n1,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,n0,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(R,Q,P,O,N,M,L,n1,X1,X2,X3,X4,X5,n1,K,J,I,H,G,F,E,n1,n1,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(wrap_hn1k4_hn1k3_command,axiom,
! [X30,X29,X28,X27,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X9,X6,X5,X4,X3,X2,E,F,G,H,I,J,K,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X2,X3,X4,X5,X6,n1,n1,n1,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0,X27,X28,X29,X30)
=> p(R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X2,X3,X4,X5,X6,n1,n1,n1,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28,X29,X30) ) ).
fof(wrap_hn1k4_hn1k4_command,axiom,
! [X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,A,B,C,D,X7,X6,X5,X4,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y] :
( p(Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,n1,X4,X5,X6,X7,n1,D,C,B,A,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0)
=> p(Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,n1,X4,X5,X6,X7,n1,D,C,B,A,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1) ) ).
fof(unwrap_hn1k1_hn1k1_command,axiom,
! [X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,X5,X4,X3,X2,X0] :
( p(n1,X0,n1,X2,X3,X4,X5,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25)
=> p(n1,X0,n1,X2,X3,X4,n1,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25) ) ).
fof(unwrap_hn1k1_hn1k2_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X18,X17,X16,X15,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X0] :
( p(n1,X0,n1,X2,X3,X4,X5,n0,X6,X7,X8,X9,X10,X11,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,X0,n1,X2,X3,X4,X5,n1,X6,X7,X8,X9,X10,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k1_hn1k3_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,E,F,G,H,I,J,K,X12,X11,X10,X9,X8,X7,L,M,N,O,P,Q,R,X5,X4,X3,X2,X0] :
( p(n1,X0,n1,X2,X3,X4,X5,R,Q,P,O,N,M,L,n0,X7,X8,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,X0,n1,X2,X3,X4,X5,R,Q,P,O,N,M,L,n1,X7,X8,X9,X10,X11,n1,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k1_hn1k4_command,axiom,
! [X30,X29,X28,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X9,X8,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X5,X4,X3,X2,X0] :
( p(n1,X0,n1,X2,X3,X4,X5,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n0,X8,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28,X29,X30)
=> p(n1,X0,n1,X2,X3,X4,X5,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28,X29,X30) ) ).
fof(unwrap_hn1k2_hn1k1_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X15,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X11,X10,X9,X8,X6,X5,X4,X3,X2,X1,X0] :
( p(n0,X0,X1,X2,X3,X4,X5,n1,X6,n1,X8,X9,X10,X11,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,X0,X1,X2,X3,X4,n1,n1,X6,n1,X8,X9,X10,X11,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k2_hn1k2_command,axiom,
! [X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X14,X13,X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X6,X5,X4,X3,X1,S,T,U,V,W,X,Y] :
( p(Y,X,W,V,U,T,S,n1,X1,n1,X3,X4,X5,X6,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25)
=> p(Y,X,W,V,U,T,S,n1,X1,n1,X3,X4,X5,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25) ) ).
fof(unwrap_hn1k2_hn1k3_command,axiom,
! [X30,X29,X28,X27,X26,X25,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,E,F,G,H,I,J,K,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,X1,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,n1,X1,n1,X3,X4,X5,X6,n0,X7,X8,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28,X29,X30)
=> p(R,Q,P,O,N,M,L,n1,X1,n1,X3,X4,X5,X6,n1,X7,X8,X9,X10,X11,n1,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k2_hn1k4_command,axiom,
! [X30,X29,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X9,X8,E,F,G,H,I,J,K,X6,X5,X4,X3,X1,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,n1,X1,n1,X3,X4,X5,X6,K,J,I,H,G,F,E,n0,X8,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1,X29,X30)
=> p(R,Q,P,O,N,M,L,n1,X1,n1,X3,X4,X5,X6,K,J,I,H,G,F,E,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1,X29,X30) ) ).
fof(unwrap_hn1k3_hn1k1_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X16,X15,A,B,C,D,E,F,G,H,I,J,K,X12,X11,X10,X9,X7,L,M,N,O,P,Q,R,X5,X4,X3,X2,X1,X0] :
( p(n0,X0,X1,X2,X3,X4,X5,R,Q,P,O,N,M,L,n1,X7,n1,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,X0,X1,X2,X3,X4,n1,R,Q,P,O,N,M,L,n1,X7,n1,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k3_hn1k2_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X20,X19,X18,X17,X16,X15,A,B,C,D,E,F,G,H,I,J,K,X12,X11,X10,X9,X7,X6,X5,X4,X3,X2,X1,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,n0,X1,X2,X3,X4,X5,X6,n1,X7,n1,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(R,Q,P,O,N,M,L,n1,X1,X2,X3,X4,X5,n1,n1,X7,n1,X9,X10,X11,X12,K,J,I,H,G,F,E,D,C,B,A,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k3_hn1k3_command,axiom,
! [X25,X24,X23,X22,X21,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,X7,X6,X5,X4,X2,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y] :
( p(Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,n1,X2,n1,X4,X5,X6,X7,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25)
=> p(Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,n1,X2,n1,X4,X5,X6,n1,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25) ) ).
fof(unwrap_hn1k3_hn1k4_command,axiom,
! [X30,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X9,X8,X7,X6,X5,X4,X2,E,F,G,H,I,J,K,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X2,n1,X4,X5,X6,X7,n0,X8,X9,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,n1,X30)
=> p(R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X2,n1,X4,X5,X6,X7,n1,X8,X9,X10,X11,X12,n1,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,n1,X30) ) ).
fof(unwrap_hn1k4_hn1k1_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X8,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,X5,X4,X3,X2,X1,X0] :
( p(n0,X0,X1,X2,X3,X4,X5,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X8,n1,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(n1,X0,X1,X2,X3,X4,n1,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X8,n1,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k4_hn1k2_command,axiom,
! [X30,X29,X28,X27,X26,X25,X24,X23,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X8,E,F,G,H,I,J,K,X6,X5,X4,X3,X2,X1,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,n0,X1,X2,X3,X4,X5,X6,K,J,I,H,G,F,E,n1,X8,n1,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28,X29,X30)
=> p(R,Q,P,O,N,M,L,n1,X1,X2,X3,X4,X5,n1,K,J,I,H,G,F,E,n1,X8,n1,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k4_hn1k3_command,axiom,
! [X30,X29,X28,X27,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,A,B,C,D,X13,X12,X11,X10,X8,X7,X6,X5,X4,X3,X2,E,F,G,H,I,J,K,L,M,N,O,P,Q,R] :
( p(R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n0,X2,X3,X4,X5,X6,X7,n1,X8,n1,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28,X29,X30)
=> p(R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X2,X3,X4,X5,X6,n1,n1,X8,n1,X10,X11,X12,X13,D,C,B,A,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28,X29,X30) ) ).
fof(unwrap_hn1k4_hn1k4_command,axiom,
! [X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,A,B,C,D,X8,X7,X6,X5,X3,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y] :
( p(Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X3,n1,X5,X6,X7,X8,D,C,B,A,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1)
=> p(Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,n1,X3,n1,X5,X6,X7,n1,D,C,B,A,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1) ) ).
fof(set_attr_hn1k1_wrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,X5,X4,X2] :
( p(n1,n0,n0,X2,n0,X4,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(n1,n1,n0,X2,n0,X4,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k1_unwrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,X5,X4,X3] :
( p(n1,n0,n0,n0,X3,X4,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(n1,n0,n1,n0,X3,X4,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k1_encrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,X5,X4,X3] :
( p(n1,n0,n0,n0,X3,X4,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(n1,n0,n0,n1,X3,X4,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k1_decrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,X5,X4,X2,X1] :
( p(n1,n0,X1,X2,n0,X4,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(n1,n0,X1,X2,n1,X4,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k1_sensitive_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,X5,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,n0,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(n1,X0,X1,X2,X3,n1,X5,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k2_wrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,X6,X5,X3,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,n1,n0,n0,X3,n0,X5,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,n1,n1,n0,X3,n0,X5,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k2_unwrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,X6,X5,X4,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,n1,n0,n0,n0,X4,X5,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,n1,n0,n1,n0,X4,X5,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k2_encrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,X6,X5,X4,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,n1,n0,n0,n0,X4,X5,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,n1,n0,n0,n1,X4,X5,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k2_decrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,X6,X5,X3,X2,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,n1,n0,X2,X3,n0,X5,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,n1,n0,X2,X3,n1,X5,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k2_sensitive_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,X6,X4,X3,X2,X1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,n1,X1,X2,X3,X4,n0,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,n1,X1,X2,X3,X4,n1,X6,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k3_wrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,X7,X6,X4,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,n0,n0,X4,n0,X6,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,n1,n0,X4,n0,X6,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k3_unwrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,X7,X6,X5,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,n0,n0,n0,X5,X6,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,n0,n1,n0,X5,X6,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k3_encrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,X7,X6,X5,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,n0,n0,n0,X5,X6,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,n0,n0,n1,X5,X6,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k3_decrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,X7,X6,X4,X3,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,n0,X3,X4,n0,X6,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,n0,X3,X4,n1,X6,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k3_sensitive_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,X7,X5,X4,X3,X2,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,X2,X3,X4,X5,n0,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,X2,X3,X4,X5,n1,X7,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k4_wrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,X8,X7,X5,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,n0,n0,X5,n0,X7,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,n1,n0,X5,n0,X7,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k4_unwrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,X8,X7,X6,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,n0,n0,n0,X6,X7,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,n0,n1,n0,X6,X7,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k4_encrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,X8,X7,X6,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,n0,n0,n0,X6,X7,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,n0,n0,n1,X6,X7,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k4_decrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,X8,X7,X5,X4,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,n0,X4,X5,n0,X7,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,n0,X4,X5,n1,X7,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k4_sensitive_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,X8,X6,X5,X4,X3,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,X3,X4,X5,X6,n0,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,X3,X4,X5,X6,n1,X8,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k1_extractable_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,X4,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,X4,n1,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(n1,X0,X1,X2,X3,X4,n0,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k2_extractable_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,X5,X4,X3,X2,X1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,n1,X1,X2,X3,X4,X5,n1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,n1,X1,X2,X3,X4,X5,n0,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k3_extractable_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,X6,X5,X4,X3,X2,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,X2,X3,X4,X5,X6,n1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,n1,X2,X3,X4,X5,X6,n0,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn1k4_extractable_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,X7,X6,X5,X4,X3,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1] :
( p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,X3,X4,X5,X6,X7,n1,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,n1,X3,X4,X5,X6,X7,n0,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(decrypt_hn1k1_k1Enck1_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,X5,X4,X2,X1,X0] :
( p(n1,X0,X1,X2,n1,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n0,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(n1,X0,X1,X2,n1,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k1_k2Enck1_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X16,X15,X14,X13,X12,X11,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,X5,X4,X2,X1,X0] :
( p(n1,X0,X1,X2,n1,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,n0,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(n1,X0,X1,X2,n1,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k1_k3Enck1_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,X5,X4,X2,X1,X0] :
( p(n1,X0,X1,X2,n1,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,n0,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28)
=> p(n1,X0,X1,X2,n1,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k1_k4Enck1_command,axiom,
! [X28,X27,X26,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,X5,X4,X2,X1,X0] :
( p(n1,X0,X1,X2,n1,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,X11,n0,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,X26,X27,X28)
=> p(n1,X0,X1,X2,n1,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,X26,X27,X28) ) ).
fof(decrypt_hn1k2_k1Enck2_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X13,X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,L,M,N,X6,X5,X3,X2,X1,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,n1,X1,X2,X3,n1,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n0,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,n1,X1,X2,X3,n1,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k2_k2Enck2_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X17,X16,X15,X14,X13,X12,X11,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,X6,X5,X3,X2,X1,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,n1,X1,X2,X3,n1,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,n0,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,n1,X1,X2,X3,n1,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k2_k3Enck2_command,axiom,
! [X28,X27,X26,X25,X24,X23,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,X6,X5,X3,X2,X1,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,n1,X1,X2,X3,n1,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,n0,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,n1,X1,X2,X3,n1,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k2_k4Enck2_command,axiom,
! [X28,X27,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,X6,X5,X3,X2,X1,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,n1,X1,X2,X3,n1,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,X11,n0,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28)
=> p(U,T,S,R,Q,P,O,n1,X1,X2,X3,n1,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28) ) ).
fof(decrypt_hn1k3_k1Enck3_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X14,X13,X12,X11,X10,A,B,C,D,E,F,G,X7,X6,X4,X3,X2,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,X4,n1,X6,X7,G,F,E,D,C,B,A,n0,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,X4,n1,X6,X7,G,F,E,D,C,B,A,n1,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k3_k2Enck3_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X18,X17,X16,X15,X14,X13,X12,X11,X9,A,B,C,D,E,F,G,X7,X6,X4,X3,X2,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,X4,n1,X6,X7,G,F,E,D,C,B,A,X9,n0,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,X4,n1,X6,X7,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k3_k3Enck3_command,axiom,
! [X28,X27,X26,X25,X24,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,A,B,C,D,E,F,G,X7,X6,X4,X3,X2,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,X4,n1,X6,X7,G,F,E,D,C,B,A,X9,X10,n0,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,X4,n1,X6,X7,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k3_k4Enck3_command,axiom,
! [X28,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,A,B,C,D,E,F,G,X7,X6,X4,X3,X2,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,X4,n1,X6,X7,G,F,E,D,C,B,A,X9,X10,X11,n0,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,X4,n1,X6,X7,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28) ) ).
fof(decrypt_hn1k4_k1Enck4_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X15,X14,X13,X12,X11,X10,X8,X7,X5,X4,X3,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,X5,n1,X7,X8,n0,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,X5,n1,X7,X8,n1,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k4_k2Enck4_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X19,X18,X17,X16,X15,X14,X13,X12,X11,X9,X8,X7,X5,X4,X3,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,X5,n1,X7,X8,X9,n0,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,X5,n1,X7,X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k4_k3Enck4_command,axiom,
! [X28,X27,X26,X25,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,X8,X7,X5,X4,X3,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,X5,n1,X7,X8,X9,X10,n0,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,X5,n1,X7,X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28) ) ).
fof(decrypt_hn1k4_k4Enck4_command,axiom,
! [X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,X8,X7,X5,X4,X3,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,X5,n1,X7,X8,X9,X10,X11,n0,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,X5,n1,X7,X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1) ) ).
fof(encrypt_hn1k1_k1Enck1_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,X5,X4,X3,X1,X0] :
( p(n1,X0,X1,n1,X3,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X10,X11,X12,n0,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(n1,X0,X1,n1,X3,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k1_k2Enck1_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X16,X15,X14,X13,X12,X11,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,X5,X4,X3,X1,X0] :
( p(n1,X0,X1,n1,X3,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,n0,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(n1,X0,X1,n1,X3,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k1_k3Enck1_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,X5,X4,X3,X1,X0] :
( p(n1,X0,X1,n1,X3,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,X22,X23,X24,X25,X26,X27,X28)
=> p(n1,X0,X1,n1,X3,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k1_k4Enck1_command,axiom,
! [X28,X27,X26,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,X5,X4,X3,X1,X0] :
( p(n1,X0,X1,n1,X3,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,X26,X27,X28)
=> p(n1,X0,X1,n1,X3,X4,X5,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,X26,X27,X28) ) ).
fof(encrypt_hn1k2_k1Enck2_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X13,X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,L,M,N,X6,X5,X4,X2,X1,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,n1,X1,X2,n1,X4,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X10,X11,X12,X13,n0,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,n1,X1,X2,n1,X4,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k2_k2Enck2_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X17,X16,X15,X14,X13,X12,X11,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,X6,X5,X4,X2,X1,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,n1,X1,X2,n1,X4,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,X17,n0,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,n1,X1,X2,n1,X4,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k2_k3Enck2_command,axiom,
! [X28,X27,X26,X25,X24,X23,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,X6,X5,X4,X2,X1,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,n1,X1,X2,n1,X4,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,n1,X1,X2,n1,X4,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k2_k4Enck2_command,axiom,
! [X28,X27,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,A,B,C,D,E,F,G,H,I,J,K,L,M,N,X6,X5,X4,X2,X1,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,n1,X1,X2,n1,X4,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0,X27,X28)
=> p(U,T,S,R,Q,P,O,n1,X1,X2,n1,X4,X5,X6,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,X27,X28) ) ).
fof(encrypt_hn1k3_k1Enck3_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X14,X13,X12,X11,X10,A,B,C,D,E,F,G,X7,X6,X5,X3,X2,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,n1,X5,X6,X7,G,F,E,D,C,B,A,n1,X10,X11,X12,X13,X14,n0,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,n1,X5,X6,X7,G,F,E,D,C,B,A,n1,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k3_k2Enck3_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X18,X17,X16,X15,X14,X13,X12,X11,X9,A,B,C,D,E,F,G,X7,X6,X5,X3,X2,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,n1,X5,X6,X7,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,n0,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,n1,X5,X6,X7,G,F,E,D,C,B,A,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k3_k3Enck3_command,axiom,
! [X28,X27,X26,X25,X24,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,A,B,C,D,E,F,G,X7,X6,X5,X3,X2,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,n1,X5,X6,X7,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,n1,X5,X6,X7,G,F,E,D,C,B,A,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k3_k4Enck3_command,axiom,
! [X28,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,A,B,C,D,E,F,G,X7,X6,X5,X3,X2,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,n1,X5,X6,X7,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n0,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,n1,X2,X3,n1,X5,X6,X7,G,F,E,D,C,B,A,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1,X28) ) ).
fof(encrypt_hn1k4_k1Enck4_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X15,X14,X13,X12,X11,X10,X8,X7,X6,X4,X3,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,n1,X6,X7,X8,n1,X10,X11,X12,X13,X14,X15,n0,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,n1,X6,X7,X8,n1,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k4_k2Enck4_command,axiom,
! [X28,X27,X26,X25,X24,X23,X22,X21,X19,X18,X17,X16,X15,X14,X13,X12,X11,X9,X8,X7,X6,X4,X3,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,n1,X6,X7,X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,X21,X22,X23,X24,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,n1,X6,X7,X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23,X24,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k4_k3Enck4_command,axiom,
! [X28,X27,X26,X25,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,X8,X7,X6,X4,X3,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,n1,X6,X7,X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,X25,X26,X27,X28)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,n1,X6,X7,X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,X25,X26,X27,X28) ) ).
fof(encrypt_hn1k4_k4Enck4_command,axiom,
! [X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,X8,X7,X6,X4,X3,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U] :
( p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,n1,X6,X7,X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n0)
=> p(U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X3,X4,n1,X6,X7,X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,n1) ) ).
fof(encrypt_k1Enck1_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X7,X6,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,X7,n0,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,X7,n1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k2Enck1_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,X8,X7,X6,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,n1,X6,X7,X8,X9,X10,X11,n0,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,n1,X6,X7,X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k3Enck1_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X15,X14,X13,X12,X11,X10,X9,X8,X7,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k4Enck1_command,axiom,
! [X23,X22,X21,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X6,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23) ) ).
fof(encrypt_k1Enck2_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X8,X7,X6,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,n1,X6,X7,X8,n0,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,n1,X6,X7,X8,n1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k2Enck2_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X12,X11,X10,X9,X8,X7,X6,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,X7,X8,X9,X10,X11,X12,n0,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,X7,X8,X9,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k3Enck2_command,axiom,
! [X23,X22,X21,X20,X19,X18,X16,X15,X14,X13,X12,X11,X10,X9,X8,X7,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k4Enck2_command,axiom,
! [X23,X22,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X6,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23) ) ).
fof(encrypt_k1Enck3_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X9,X8,X7,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,n1,X7,X8,X9,n0,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,n1,X7,X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k2Enck3_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X13,X12,X11,X10,X9,X8,X7,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,n1,X7,X8,X9,X10,X11,X12,X13,n0,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,n1,X7,X8,X9,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k3Enck3_command,axiom,
! [X23,X22,X21,X20,X19,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X7,X5,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k4Enck3_command,axiom,
! [X23,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X5,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23) ) ).
fof(encrypt_k1Enck4_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,X8,X6,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,n1,X8,X9,X10,n0,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,n1,X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k2Enck4_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X14,X13,X12,X11,X10,X9,X8,X6,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,n1,X8,X9,X10,X11,X12,X13,X14,n0,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,n1,X8,X9,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(encrypt_k3Enck4_command,axiom,
! [X23,X22,X21,X20,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X5,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23) ) ).
fof(encrypt_k4Enck4_command,axiom,
! [X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X6,X5,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1) ) ).
fof(intruder_decrypt_k1Enck1_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X7,X6,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,X7,n1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,X7,n1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k2Enck1_command,axiom,
! [X4,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X11,X10,X9,X8,X7,X6,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,n0,X6,X7,X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,X7,X8,X9,X10,X11,n1,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k3Enck1_command,axiom,
! [X4,X23,X22,X21,X20,X19,X18,X17,X15,X14,X13,X12,X11,X10,X9,X8,X7,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,n0,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k4Enck1_command,axiom,
! [X4,X23,X22,X21,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X6,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,n0,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,X21,X22,X23) ) ).
fof(intruder_decrypt_k1Enck2_command,axiom,
! [X5,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X8,X7,X6,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n0,n1,X6,X7,X8,n1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,X7,X8,n1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k2Enck2_command,axiom,
! [X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X12,X11,X10,X9,X8,X7,X6,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,X7,X8,X9,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,X7,X8,X9,X10,X11,X12,n1,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k3Enck2_command,axiom,
! [X5,X23,X22,X21,X20,X19,X18,X16,X15,X14,X13,X12,X11,X10,X9,X8,X7,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,n0,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k4Enck2_command,axiom,
! [X5,X23,X22,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X6,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,n0,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,X22,X23) ) ).
fof(intruder_decrypt_k1Enck3_command,axiom,
! [X6,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X9,X8,X7,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n0,X5,n1,X7,X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,X7,X8,X9,n1,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k2Enck3_command,axiom,
! [X6,X23,X22,X21,X20,X19,X18,X17,X16,X15,X13,X12,X11,X10,X9,X8,X7,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n0,n1,X7,X8,X9,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,X7,X8,X9,X10,X11,X12,X13,n1,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k3Enck3_command,axiom,
! [X23,X22,X21,X20,X19,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X7,X5,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k4Enck3_command,axiom,
! [X6,X23,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X5,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,n0,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,X23) ) ).
fof(intruder_decrypt_k1Enck4_command,axiom,
! [X7,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X10,X9,X8,X6,X5,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n0,X5,X6,n1,X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,n1,X5,X6,X7,X8,X9,X10,n1,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k2Enck4_command,axiom,
! [X7,X23,X22,X21,X20,X19,X18,X17,X16,X14,X13,X12,X11,X10,X9,X8,X6,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n0,X6,n1,X8,X9,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,n1,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,X16,X17,X18,X19,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k3Enck4_command,axiom,
! [X7,X23,X22,X21,X20,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X5,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n0,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,n1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,X20,X21,X22,X23) ) ).
fof(intruder_decrypt_k4Enck4_command,axiom,
! [X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X6,X5,X4,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1] :
( p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1)
=> p(B1,A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X4,X5,X6,n1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1) ) ).
fof(domain_constraints,axiom,
! [X47,X46,X45,X44,X43,X42,X41,X40,X39,X38,X37,X36,X35,X34,X33,X32,X31,X30,X29,X28,X27,X26,X25,X24,X23,X22,X21,X20,X19,X18,X17,X16,X15,X14,X13,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0] :
( p(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)
=> ( ( 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,
? [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,X3,X2,X1,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1] : p(R1,Q1,P1,O1,N1,M1,L1,K1,J1,I1,H1,G1,F1,E1,D1,C1,B1,A1,Z,Y,X,W,V,U,T,S,R,Q,n1,X1,X2,X3,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ).
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