TPTP Problem File: SWV484+2.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWV484+2 : TPTP v9.0.0. Released v4.0.0.
% Domain : Software Verification (Security)
% Problem : PKCS11 for 4 handles and 2 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 v7.1.0, 0.33 v6.4.0, 0.00 v6.3.0, 0.50 v6.2.0, 0.43 v6.1.0, 0.50 v5.5.0, 0.30 v5.4.0, 0.40 v5.3.0, 0.25 v5.0.0, 0.33 v4.1.0, 0.60 v4.0.1, 0.80 v4.0.0
% Syntax : Number of formulae : 83 ( 2 unt; 0 def)
% Number of atoms : 231 ( 68 equ)
% Maximal formula atoms : 69 ( 2 avg)
% Number of connectives : 148 ( 0 ~; 0 |; 33 &)
% ( 0 <=>; 81 =>; 0 <=; 34 <~>)
% Maximal formula depth : 70 ( 32 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 2-34 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2493 (2460 !; 33 ?)
% 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,n0,n0,n0,n0) ).
fof(wrap_hn1k1_hn1k1_command,axiom,
! [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,X4,X3,X2,X1] :
( p(n1,n1,X1,X2,X3,X4,n1,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)
=> p(n1,n1,X1,X2,X3,X4,n1,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) ) ).
fof(wrap_hn1k1_hn1k2_command,axiom,
! [X18,X16,X15,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,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,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,X16,n0,X18)
=> p(n1,n1,X1,X2,X3,X4,X5,n1,X6,X7,X8,X9,X10,n1,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18) ) ).
fof(wrap_hn1k1_hn2k1_command,axiom,
! [X18,X17,X16,A,B,C,D,E,F,G,H,I,X11,X10,X9,X8,X7,J,K,L,M,N,O,P,X5,X4,X3,X2,X1] :
( p(n1,n1,X1,X2,X3,X4,X5,P,O,N,M,L,K,J,n1,X7,X8,X9,X10,X11,n1,I,H,G,F,E,D,C,B,A,n0,X16,X17,X18)
=> p(n1,n1,X1,X2,X3,X4,X5,P,O,N,M,L,K,J,n1,X7,X8,X9,X10,X11,n1,I,H,G,F,E,D,C,B,A,n1,X16,X17,X18) ) ).
fof(wrap_hn1k1_hn2k2_command,axiom,
! [X18,X16,X15,A,B,X12,X11,X10,X9,X8,C,D,E,F,G,H,I,J,K,L,M,N,O,P,X5,X4,X3,X2,X1] :
( p(n1,n1,X1,X2,X3,X4,X5,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,n0,X18)
=> p(n1,n1,X1,X2,X3,X4,X5,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,n1,X18) ) ).
fof(wrap_hn1k2_hn1k1_command,axiom,
! [X18,X17,X15,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,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,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,n0,X17,X18)
=> p(n1,X0,X1,X2,X3,X4,n1,n1,n1,X7,X8,X9,X10,X11,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18) ) ).
fof(wrap_hn1k2_hn1k2_command,axiom,
! [X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,X5,X4,X3,X2,Q,R,S,T,U,V,W] :
( p(W,V,U,T,S,R,Q,n1,n1,X2,X3,X4,X5,n1,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,n0)
=> p(W,V,U,T,S,R,Q,n1,n1,X2,X3,X4,X5,n1,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,n1) ) ).
fof(wrap_hn1k2_hn2k1_command,axiom,
! [X18,X17,X15,A,B,C,D,E,F,G,H,I,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,n1,n1,X2,X3,X4,X5,X6,n1,X7,X8,X9,X10,X11,n1,I,H,G,F,E,D,C,B,A,X15,n0,X17,X18)
=> p(P,O,N,M,L,K,J,n1,n1,X2,X3,X4,X5,X6,n1,X7,X8,X9,X10,X11,n1,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18) ) ).
fof(wrap_hn1k2_hn2k2_command,axiom,
! [X17,X16,X15,A,B,X12,X11,X10,X9,X8,C,D,E,F,G,H,I,X6,X5,X4,X3,X2,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,n1,n1,X2,X3,X4,X5,X6,I,H,G,F,E,D,C,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,X17,n0)
=> p(P,O,N,M,L,K,J,n1,n1,X2,X3,X4,X5,X6,I,H,G,F,E,D,C,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,X17,n1) ) ).
fof(wrap_hn2k1_hn1k1_command,axiom,
! [X18,X17,X16,A,B,C,D,E,F,G,H,I,X12,X11,X10,X9,X8,J,K,L,M,N,O,P,X4,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,X4,n1,P,O,N,M,L,K,J,n1,n1,X8,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,n0,X16,X17,X18)
=> p(n1,X0,X1,X2,X3,X4,n1,P,O,N,M,L,K,J,n1,n1,X8,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,n1,X16,X17,X18) ) ).
fof(wrap_hn2k1_hn1k2_command,axiom,
! [X18,X16,X15,A,B,C,D,E,F,G,H,I,X12,X11,X10,X9,X8,X5,X4,X3,X2,X1,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,n1,X1,X2,X3,X4,X5,n1,n1,n1,X8,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,X15,X16,n0,X18)
=> p(P,O,N,M,L,K,J,n1,X1,X2,X3,X4,X5,n1,n1,n1,X8,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18) ) ).
fof(wrap_hn2k1_hn2k1_command,axiom,
! [X13,X12,X11,A,B,C,D,E,F,G,H,I,X6,X5,X4,X3,J,K,L,M,N,O,P,Q,R,S,T,U,V,W] :
( p(W,V,U,T,S,R,Q,P,O,N,M,L,K,J,n1,n1,X3,X4,X5,X6,n1,I,H,G,F,E,D,C,B,A,n0,X11,X12,X13)
=> p(W,V,U,T,S,R,Q,P,O,N,M,L,K,J,n1,n1,X3,X4,X5,X6,n1,I,H,G,F,E,D,C,B,A,n1,X11,X12,X13) ) ).
fof(wrap_hn2k1_hn2k2_command,axiom,
! [X18,X16,X15,A,B,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,C,D,E,F,G,H,I,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,n1,X3,X4,X5,X6,X7,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,n0,X18)
=> p(P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,n1,X3,X4,X5,X6,X7,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,n1,X18) ) ).
fof(wrap_hn2k2_hn1k1_command,axiom,
! [X18,X17,X15,A,B,X13,X12,X11,X10,X9,C,D,E,F,G,H,I,J,K,L,M,N,O,P,X4,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,X4,n1,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,n1,X9,X10,X11,X12,X13,B,A,X15,n0,X17,X18)
=> p(n1,X0,X1,X2,X3,X4,n1,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,n1,X9,X10,X11,X12,X13,B,A,X15,n1,X17,X18) ) ).
fof(wrap_hn2k2_hn1k2_command,axiom,
! [X17,X16,X15,A,B,X13,X12,X11,X10,X9,C,D,E,F,G,H,I,X5,X4,X3,X2,X1,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,n1,X1,X2,X3,X4,X5,n1,I,H,G,F,E,D,C,n1,n1,X9,X10,X11,X12,X13,B,A,X15,X16,X17,n0)
=> p(P,O,N,M,L,K,J,n1,X1,X2,X3,X4,X5,n1,I,H,G,F,E,D,C,n1,n1,X9,X10,X11,X12,X13,B,A,X15,X16,X17,n1) ) ).
fof(wrap_hn2k2_hn2k1_command,axiom,
! [X18,X17,X15,A,B,X13,X12,X11,X10,X9,X6,X5,X4,X3,X2,C,D,E,F,G,H,I,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X2,X3,X4,X5,X6,n1,n1,n1,X9,X10,X11,X12,X13,B,A,X15,n0,X17,X18)
=> p(P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X2,X3,X4,X5,X6,n1,n1,n1,X9,X10,X11,X12,X13,B,A,X15,n1,X17,X18) ) ).
fof(wrap_hn2k2_hn2k2_command,axiom,
! [X12,X11,X10,A,B,X7,X6,X5,X4,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W] :
( p(W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,n1,X4,X5,X6,X7,n1,B,A,X10,X11,X12,n0)
=> p(W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,n1,X4,X5,X6,X7,n1,B,A,X10,X11,X12,n1) ) ).
fof(unwrap_hn1k1_hn1k1_command,axiom,
! [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,X5,X4,X3,X2,X0] :
( p(n1,X0,n1,X2,X3,X4,X5,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)
=> p(n1,X0,n1,X2,X3,X4,n1,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) ) ).
fof(unwrap_hn1k1_hn1k2_command,axiom,
! [X18,X16,X15,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,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,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18)
=> p(n1,X0,n1,X2,X3,X4,X5,n1,X6,X7,X8,X9,X10,n1,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18) ) ).
fof(unwrap_hn1k1_hn2k1_command,axiom,
! [X18,X17,X16,A,B,C,D,E,F,G,H,I,X12,X11,X10,X9,X8,X7,J,K,L,M,N,O,P,X5,X4,X3,X2,X0] :
( p(n1,X0,n1,X2,X3,X4,X5,P,O,N,M,L,K,J,n0,X7,X8,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,n1,X16,X17,X18)
=> p(n1,X0,n1,X2,X3,X4,X5,P,O,N,M,L,K,J,n1,X7,X8,X9,X10,X11,n1,I,H,G,F,E,D,C,B,A,n1,X16,X17,X18) ) ).
fof(unwrap_hn1k1_hn2k2_command,axiom,
! [X18,X16,X15,A,B,X13,X12,X11,X10,X9,X8,C,D,E,F,G,H,I,J,K,L,M,N,O,P,X5,X4,X3,X2,X0] :
( p(n1,X0,n1,X2,X3,X4,X5,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n0,X8,X9,X10,X11,X12,X13,B,A,X15,X16,n1,X18)
=> p(n1,X0,n1,X2,X3,X4,X5,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,n1,X18) ) ).
fof(unwrap_hn1k2_hn1k1_command,axiom,
! [X18,X17,X15,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,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,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18)
=> p(n1,X0,X1,X2,X3,X4,n1,n1,X6,n1,X8,X9,X10,X11,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18) ) ).
fof(unwrap_hn1k2_hn1k2_command,axiom,
! [X12,X11,X10,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,X6,X5,X4,X3,X1,Q,R,S,T,U,V,W] :
( p(W,V,U,T,S,R,Q,n1,X1,n1,X3,X4,X5,X6,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,n1)
=> p(W,V,U,T,S,R,Q,n1,X1,n1,X3,X4,X5,n1,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A,X10,X11,X12,n1) ) ).
fof(unwrap_hn1k2_hn2k1_command,axiom,
! [X18,X17,X15,A,B,C,D,E,F,G,H,I,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,X1,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,n1,X1,n1,X3,X4,X5,X6,n0,X7,X8,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18)
=> p(P,O,N,M,L,K,J,n1,X1,n1,X3,X4,X5,X6,n1,X7,X8,X9,X10,X11,n1,I,H,G,F,E,D,C,B,A,X15,n1,X17,X18) ) ).
fof(unwrap_hn1k2_hn2k2_command,axiom,
! [X17,X16,X15,A,B,X13,X12,X11,X10,X9,X8,C,D,E,F,G,H,I,X6,X5,X4,X3,X1,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,n1,X1,n1,X3,X4,X5,X6,I,H,G,F,E,D,C,n0,X8,X9,X10,X11,X12,X13,B,A,X15,X16,X17,n1)
=> p(P,O,N,M,L,K,J,n1,X1,n1,X3,X4,X5,X6,I,H,G,F,E,D,C,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,X17,n1) ) ).
fof(unwrap_hn2k1_hn1k1_command,axiom,
! [X18,X17,X16,A,B,C,D,E,F,G,H,I,X12,X11,X10,X9,X7,J,K,L,M,N,O,P,X5,X4,X3,X2,X1,X0] :
( p(n0,X0,X1,X2,X3,X4,X5,P,O,N,M,L,K,J,n1,X7,n1,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,n1,X16,X17,X18)
=> p(n1,X0,X1,X2,X3,X4,n1,P,O,N,M,L,K,J,n1,X7,n1,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,n1,X16,X17,X18) ) ).
fof(unwrap_hn2k1_hn1k2_command,axiom,
! [X18,X16,X15,A,B,C,D,E,F,G,H,I,X12,X11,X10,X9,X7,X6,X5,X4,X3,X2,X1,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,n0,X1,X2,X3,X4,X5,X6,n1,X7,n1,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18)
=> p(P,O,N,M,L,K,J,n1,X1,X2,X3,X4,X5,n1,n1,X7,n1,X9,X10,X11,X12,I,H,G,F,E,D,C,B,A,X15,X16,n1,X18) ) ).
fof(unwrap_hn2k1_hn2k1_command,axiom,
! [X13,X12,X11,A,B,C,D,E,F,G,H,I,X7,X6,X5,X4,X2,J,K,L,M,N,O,P,Q,R,S,T,U,V,W] :
( p(W,V,U,T,S,R,Q,P,O,N,M,L,K,J,n1,X2,n1,X4,X5,X6,X7,I,H,G,F,E,D,C,B,A,n1,X11,X12,X13)
=> p(W,V,U,T,S,R,Q,P,O,N,M,L,K,J,n1,X2,n1,X4,X5,X6,n1,I,H,G,F,E,D,C,B,A,n1,X11,X12,X13) ) ).
fof(unwrap_hn2k1_hn2k2_command,axiom,
! [X18,X16,X15,A,B,X13,X12,X11,X10,X9,X8,X7,X6,X5,X4,X2,C,D,E,F,G,H,I,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X2,n1,X4,X5,X6,X7,n0,X8,X9,X10,X11,X12,X13,B,A,X15,X16,n1,X18)
=> p(P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X2,n1,X4,X5,X6,X7,n1,X8,X9,X10,X11,X12,n1,B,A,X15,X16,n1,X18) ) ).
fof(unwrap_hn2k2_hn1k1_command,axiom,
! [X18,X17,X15,A,B,X13,X12,X11,X10,X8,C,D,E,F,G,H,I,J,K,L,M,N,O,P,X5,X4,X3,X2,X1,X0] :
( p(n0,X0,X1,X2,X3,X4,X5,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X8,n1,X10,X11,X12,X13,B,A,X15,n1,X17,X18)
=> p(n1,X0,X1,X2,X3,X4,n1,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X8,n1,X10,X11,X12,X13,B,A,X15,n1,X17,X18) ) ).
fof(unwrap_hn2k2_hn1k2_command,axiom,
! [X17,X16,X15,A,B,X13,X12,X11,X10,X8,C,D,E,F,G,H,I,X6,X5,X4,X3,X2,X1,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,n0,X1,X2,X3,X4,X5,X6,I,H,G,F,E,D,C,n1,X8,n1,X10,X11,X12,X13,B,A,X15,X16,X17,n1)
=> p(P,O,N,M,L,K,J,n1,X1,X2,X3,X4,X5,n1,I,H,G,F,E,D,C,n1,X8,n1,X10,X11,X12,X13,B,A,X15,X16,X17,n1) ) ).
fof(unwrap_hn2k2_hn2k1_command,axiom,
! [X18,X17,X15,A,B,X13,X12,X11,X10,X8,X7,X6,X5,X4,X3,X2,C,D,E,F,G,H,I,J,K,L,M,N,O,P] :
( p(P,O,N,M,L,K,J,I,H,G,F,E,D,C,n0,X2,X3,X4,X5,X6,X7,n1,X8,n1,X10,X11,X12,X13,B,A,X15,n1,X17,X18)
=> p(P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X2,X3,X4,X5,X6,n1,n1,X8,n1,X10,X11,X12,X13,B,A,X15,n1,X17,X18) ) ).
fof(unwrap_hn2k2_hn2k2_command,axiom,
! [X12,X11,X10,A,B,X8,X7,X6,X5,X3,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W] :
( p(W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X3,n1,X5,X6,X7,X8,B,A,X10,X11,X12,n1)
=> p(W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,n1,X3,n1,X5,X6,X7,n1,B,A,X10,X11,X12,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,X5,X4,X2] :
( p(n1,n0,n0,X2,n0,X4,X5,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,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,X5,X4,X3] :
( p(n1,n0,n0,n0,X3,X4,X5,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,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,X5,X4,X3] :
( p(n1,n0,n0,n0,X3,X4,X5,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,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,X5,X4,X2,X1] :
( p(n1,n0,X1,X2,n0,X4,X5,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,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,X5,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,n0,X5,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,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,X6,X5,X3,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,n1,n0,n0,X3,n0,X5,X6,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,n1,n1,n0,X3,n0,X5,X6,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,X6,X5,X4,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,n1,n0,n0,n0,X4,X5,X6,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,n1,n0,n1,n0,X4,X5,X6,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,X6,X5,X4,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,n1,n0,n0,n0,X4,X5,X6,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,n1,n0,n0,n1,X4,X5,X6,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,X6,X5,X3,X2,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,n1,n0,X2,X3,n0,X5,X6,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,n1,n0,X2,X3,n1,X5,X6,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,X6,X4,X3,X2,X1,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,n1,X1,X2,X3,X4,n0,X6,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,n1,X1,X2,X3,X4,n1,X6,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k1_wrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,X7,X6,X4,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,n0,n0,X4,n0,X6,X7,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,n1,n0,X4,n0,X6,X7,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k1_unwrap_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,X7,X6,X5,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,n0,n0,n0,X5,X6,X7,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,n0,n1,n0,X5,X6,X7,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k1_encrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,X7,X6,X5,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,n0,n0,n0,X5,X6,X7,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,n0,n0,n1,X5,X6,X7,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k1_decrypt_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,X7,X6,X4,X3,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,n0,X3,X4,n0,X6,X7,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,n0,X3,X4,n1,X6,X7,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k1_sensitive_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,X7,X5,X4,X3,X2,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,X2,X3,X4,X5,n0,X7,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,X2,X3,X4,X5,n1,X7,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k2_wrap_command,axiom,
! [A,B,C,D,E,F,X8,X7,X5,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,n0,n0,X5,n0,X7,X8,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,n1,n0,X5,n0,X7,X8,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k2_unwrap_command,axiom,
! [A,B,C,D,E,F,X8,X7,X6,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,n0,n0,n0,X6,X7,X8,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,n0,n1,n0,X6,X7,X8,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k2_encrypt_command,axiom,
! [A,B,C,D,E,F,X8,X7,X6,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,n0,n0,n0,X6,X7,X8,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,n0,n0,n1,X6,X7,X8,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k2_decrypt_command,axiom,
! [A,B,C,D,E,F,X8,X7,X5,X4,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,n0,X4,X5,n0,X7,X8,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,n0,X4,X5,n1,X7,X8,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k2_sensitive_command,axiom,
! [A,B,C,D,E,F,X8,X6,X5,X4,X3,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,X3,X4,X5,X6,n0,X8,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,X3,X4,X5,X6,n1,X8,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,X4,X3,X2,X1,X0] :
( p(n1,X0,X1,X2,X3,X4,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(n1,X0,X1,X2,X3,X4,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_hn1k2_extractable_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,X5,X4,X3,X2,X1,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,n1,X1,X2,X3,X4,X5,n1,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,n1,X1,X2,X3,X4,X5,n0,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k1_extractable_command,axiom,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,X6,X5,X4,X3,X2,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,X2,X3,X4,X5,X6,n1,M,L,K,J,I,H,G,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,n1,X2,X3,X4,X5,X6,n0,M,L,K,J,I,H,G,F,E,D,C,B,A) ) ).
fof(set_attr_hn2k2_extractable_command,axiom,
! [A,B,C,D,E,F,X7,X6,X5,X4,X3,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1] :
( p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,X3,X4,X5,X6,X7,n1,F,E,D,C,B,A)
=> p(A1,Z,Y,X,W,V,U,T,S,R,Q,P,O,N,M,L,K,J,I,H,G,n1,X3,X4,X5,X6,X7,n0,F,E,D,C,B,A) ) ).
fof(decrypt_hn1k1_k1Enck1_command,axiom,
! [X14,X13,X12,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,n1,X12,X13,X14)
=> 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,n1,X12,X13,X14) ) ).
fof(decrypt_hn1k1_k2Enck1_command,axiom,
! [X14,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,n1,X14)
=> 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,n1,X14) ) ).
fof(decrypt_hn1k2_k1Enck2_command,axiom,
! [X14,X13,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,n1,X13,X14)
=> 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,n1,X13,X14) ) ).
fof(decrypt_hn1k2_k2Enck2_command,axiom,
! [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,n1)
=> 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,n1) ) ).
fof(decrypt_hn2k1_k1Enck1_command,axiom,
! [X14,X13,X12,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,n1,X12,X13,X14)
=> 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,n1,X12,X13,X14) ) ).
fof(decrypt_hn2k1_k2Enck1_command,axiom,
! [X14,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,n1,X14)
=> 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,n1,X14) ) ).
fof(decrypt_hn2k2_k1Enck2_command,axiom,
! [X14,X13,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,n1,X13,X14)
=> 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,n1,X13,X14) ) ).
fof(decrypt_hn2k2_k2Enck2_command,axiom,
! [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,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,n1,X11,X12,X13,n1) ) ).
fof(encrypt_hn1k1_k1Enck1_command,axiom,
! [X14,X13,X12,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,n0,X12,X13,X14)
=> 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,n1,X12,X13,X14) ) ).
fof(encrypt_hn1k1_k2Enck1_command,axiom,
! [X14,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,n0,X14)
=> 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,n1,X14) ) ).
fof(encrypt_hn1k2_k1Enck2_command,axiom,
! [X14,X13,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,n0,X13,X14)
=> 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,n1,X13,X14) ) ).
fof(encrypt_hn1k2_k2Enck2_command,axiom,
! [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,n0)
=> 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,n1) ) ).
fof(encrypt_hn2k1_k1Enck1_command,axiom,
! [X14,X13,X12,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,n0,X12,X13,X14)
=> 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,n1,X12,X13,X14) ) ).
fof(encrypt_hn2k1_k2Enck1_command,axiom,
! [X14,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,n0,X14)
=> 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,n1,X14) ) ).
fof(encrypt_hn2k2_k1Enck2_command,axiom,
! [X14,X13,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,n0,X13,X14)
=> 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,n1,X13,X14) ) ).
fof(encrypt_hn2k2_k2Enck2_command,axiom,
! [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,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,n1,X11,X12,X13,n1) ) ).
fof(encrypt_k1Enck1_command,axiom,
! [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)
=> 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) ) ).
fof(encrypt_k2Enck1_command,axiom,
! [X9,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,n0,X9)
=> 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,n1,X9) ) ).
fof(encrypt_k1Enck2_command,axiom,
! [X9,X8,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,n0,X8,X9)
=> 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,n1,X8,X9) ) ).
fof(encrypt_k2Enck2_command,axiom,
! [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,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,n1,X6,X7,X8,n1) ) ).
fof(intruder_decrypt_k1Enck1_command,axiom,
! [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)
=> 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) ) ).
fof(intruder_decrypt_k2Enck1_command,axiom,
! [X4,X9,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,n1,X9)
=> 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,n1,X9) ) ).
fof(intruder_decrypt_k1Enck2_command,axiom,
! [X5,X9,X8,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,n1,X8,X9)
=> 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) ) ).
fof(intruder_decrypt_k2Enck2_command,axiom,
! [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,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,n1,X6,X7,X8,n1) ) ).
fof(domain_constraints,axiom,
! [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)
=> ( ( 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 ) ) ) ).
fof(co1,conjecture,
? [A,B,C,D,X1,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] : p(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,n1,X1,D,C,B,A) ).
%------------------------------------------------------------------------------