TPTP Problem File: SWW959+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SWW959+1 : TPTP v8.2.0. Released v7.4.0.
% Domain : Software Verification
% Problem : Attack on Needham-Schroeder Public Key Protocol
% Version : [LT19] axioms : Especial.
% English : Attack demonstrates an impersonation attack, violating weak
% agreement property of A to B.
% Refs : [BO97] Bull & Otway (1997), The Authentication Protocol
% : [RS98] Ryan & Schneider (1998), An Attack on a Recursive Auth
% : [LT19] Li & Tiu (2019), Combining ProVerif and Automated Theo
% : [Li20] Li (2020), Email to Geoff Sutcliffe
% Source : [Li20]
% Names : NSPK-agree-A-to-B.p [LT20]
% Status : Theorem
% Rating : 0.42 v8.2.0, 0.36 v8.1.0, 0.33 v7.5.0, 0.38 v7.4.0
% Syntax : Number of formulae : 169 ( 108 unt; 0 def)
% Number of atoms : 258 ( 88 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 169 ( 80 ~; 0 |; 28 &)
% ( 0 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% Number of functors : 49 ( 49 usr; 15 con; 0-2 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : Generated by a modified version of ProVerif used in the
% ProVerif-ATP project [LT19].
%--------------------------------------------------------------------------
fof(ax0,axiom,
constr_CONST_0x30 != constr_CONST_1 ).
fof(ax1,axiom,
constr_CONST_0x30 != constr_CONST_2 ).
fof(ax2,axiom,
constr_CONST_0x30 != constr_CONST_3 ).
fof(ax3,axiom,
constr_CONST_0x30 != constr_CONST_4 ).
fof(ax4,axiom,
constr_CONST_0x30 != name_A ).
fof(ax5,axiom,
constr_CONST_0x30 != name_B ).
fof(ax6,axiom,
constr_CONST_0x30 != name_I ).
fof(ax7,axiom,
constr_CONST_0x30 != name_c ).
fof(ax8,axiom,
constr_CONST_0x30 != name_objective ).
fof(ax9,axiom,
constr_CONST_0x30 != name_skA ).
fof(ax10,axiom,
constr_CONST_0x30 != name_skB ).
fof(ax11,axiom,
constr_CONST_0x30 != name_skS ).
fof(ax12,axiom,
constr_CONST_1 != constr_CONST_2 ).
fof(ax13,axiom,
constr_CONST_1 != constr_CONST_3 ).
fof(ax14,axiom,
constr_CONST_1 != constr_CONST_4 ).
fof(ax15,axiom,
constr_CONST_1 != name_A ).
fof(ax16,axiom,
constr_CONST_1 != name_B ).
fof(ax17,axiom,
constr_CONST_1 != name_I ).
fof(ax18,axiom,
constr_CONST_1 != name_c ).
fof(ax19,axiom,
constr_CONST_1 != name_objective ).
fof(ax20,axiom,
constr_CONST_1 != name_skA ).
fof(ax21,axiom,
constr_CONST_1 != name_skB ).
fof(ax22,axiom,
constr_CONST_1 != name_skS ).
fof(ax23,axiom,
constr_CONST_2 != constr_CONST_3 ).
fof(ax24,axiom,
constr_CONST_2 != constr_CONST_4 ).
fof(ax25,axiom,
constr_CONST_2 != name_A ).
fof(ax26,axiom,
constr_CONST_2 != name_B ).
fof(ax27,axiom,
constr_CONST_2 != name_I ).
fof(ax28,axiom,
constr_CONST_2 != name_c ).
fof(ax29,axiom,
constr_CONST_2 != name_objective ).
fof(ax30,axiom,
constr_CONST_2 != name_skA ).
fof(ax31,axiom,
constr_CONST_2 != name_skB ).
fof(ax32,axiom,
constr_CONST_2 != name_skS ).
fof(ax33,axiom,
constr_CONST_3 != constr_CONST_4 ).
fof(ax34,axiom,
constr_CONST_3 != name_A ).
fof(ax35,axiom,
constr_CONST_3 != name_B ).
fof(ax36,axiom,
constr_CONST_3 != name_I ).
fof(ax37,axiom,
constr_CONST_3 != name_c ).
fof(ax38,axiom,
constr_CONST_3 != name_objective ).
fof(ax39,axiom,
constr_CONST_3 != name_skA ).
fof(ax40,axiom,
constr_CONST_3 != name_skB ).
fof(ax41,axiom,
constr_CONST_3 != name_skS ).
fof(ax42,axiom,
constr_CONST_4 != name_A ).
fof(ax43,axiom,
constr_CONST_4 != name_B ).
fof(ax44,axiom,
constr_CONST_4 != name_I ).
fof(ax45,axiom,
constr_CONST_4 != name_c ).
fof(ax46,axiom,
constr_CONST_4 != name_objective ).
fof(ax47,axiom,
constr_CONST_4 != name_skA ).
fof(ax48,axiom,
constr_CONST_4 != name_skB ).
fof(ax49,axiom,
constr_CONST_4 != name_skS ).
fof(ax50,axiom,
name_A != name_B ).
fof(ax51,axiom,
name_A != name_I ).
fof(ax52,axiom,
name_A != name_c ).
fof(ax53,axiom,
name_A != name_objective ).
fof(ax54,axiom,
name_A != name_skA ).
fof(ax55,axiom,
name_A != name_skB ).
fof(ax56,axiom,
name_A != name_skS ).
fof(ax57,axiom,
name_B != name_I ).
fof(ax58,axiom,
name_B != name_c ).
fof(ax59,axiom,
name_B != name_objective ).
fof(ax60,axiom,
name_B != name_skA ).
fof(ax61,axiom,
name_B != name_skB ).
fof(ax62,axiom,
name_B != name_skS ).
fof(ax63,axiom,
name_I != name_c ).
fof(ax64,axiom,
name_I != name_objective ).
fof(ax65,axiom,
name_I != name_skA ).
fof(ax66,axiom,
name_I != name_skB ).
fof(ax67,axiom,
name_I != name_skS ).
fof(ax68,axiom,
name_c != name_objective ).
fof(ax69,axiom,
name_c != name_skA ).
fof(ax70,axiom,
name_c != name_skB ).
fof(ax71,axiom,
name_c != name_skS ).
fof(ax72,axiom,
name_objective != name_skA ).
fof(ax73,axiom,
name_objective != name_skB ).
fof(ax74,axiom,
name_objective != name_skS ).
fof(ax75,axiom,
name_skA != name_skB ).
fof(ax76,axiom,
name_skA != name_skS ).
fof(ax77,axiom,
name_skB != name_skS ).
fof(ax78,axiom,
! [VAR_K_18,VAR_M_17] : constr_adec(constr_aenc(VAR_M_17,constr_pkey(VAR_K_18)),VAR_K_18) = VAR_M_17 ).
fof(ax79,axiom,
! [VAR_K_16,VAR_M_15] : constr_dec(constr_enc(VAR_M_15,VAR_K_16),VAR_K_16) = VAR_M_15 ).
fof(ax80,axiom,
! [VAR_K_14,VAR_M_13] : constr_getmess(constr_sign(VAR_M_13,VAR_K_14)) = VAR_M_13 ).
fof(ax81,axiom,
! [VAR_K_0X30,VAR_M_0X30] : constr_checksign(constr_sign(VAR_M_0X30,VAR_K_0X30),constr_pkey(VAR_K_0X30)) = VAR_M_0X30 ).
fof(ax82,axiom,
! [VAR_X0X30_11,VAR_X1_12] : constr_tuple_2_get_1_bitstring(tuple_2(VAR_X0X30_11,VAR_X1_12)) = VAR_X1_12 ).
fof(ax83,axiom,
! [VAR_X0X30_9,VAR_X1_10X30] : constr_tuple_2_get_0x30_bitstring(tuple_2(VAR_X0X30_9,VAR_X1_10X30)) = VAR_X0X30_9 ).
fof(ax84,axiom,
! [VAR_X0X30_7,VAR_X1_8] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_7,VAR_X1_8)) = VAR_X1_8 ).
fof(ax85,axiom,
! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_0x30(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X0X30_0X30 ).
fof(ax86,axiom,
! [VAR_X_35,VAR_Y_36] : pred_eq_bitstring_bitstring(VAR_X_35,VAR_Y_36) ).
fof(ax87,axiom,
! [VAR_V_42] :
( pred_attacker(VAR_V_42)
=> pred_attacker(constr_tuple_2_get_1_bitstring(VAR_V_42)) ) ).
fof(ax88,axiom,
! [VAR_V_44] :
( pred_attacker(VAR_V_44)
=> pred_attacker(constr_tuple_2_get_1(VAR_V_44)) ) ).
fof(ax89,axiom,
! [VAR_V_46] :
( pred_attacker(VAR_V_46)
=> pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_46)) ) ).
fof(ax90,axiom,
! [VAR_V_48] :
( pred_attacker(VAR_V_48)
=> pred_attacker(constr_tuple_2_get_0x30(VAR_V_48)) ) ).
fof(ax91,axiom,
pred_attacker(tuple_true) ).
fof(ax92,axiom,
! [VAR_V_51,VAR_V_52] :
( ( pred_attacker(VAR_V_51)
& pred_attacker(VAR_V_52) )
=> pred_attacker(constr_sign(VAR_V_51,VAR_V_52)) ) ).
fof(ax93,axiom,
! [VAR_V_54] :
( pred_attacker(VAR_V_54)
=> pred_attacker(constr_pkey(VAR_V_54)) ) ).
fof(ax94,axiom,
! [VAR_V_56] :
( pred_attacker(VAR_V_56)
=> pred_attacker(tuple_out_3(VAR_V_56)) ) ).
fof(ax95,axiom,
! [VAR_V_59] :
( pred_attacker(tuple_out_3(VAR_V_59))
=> pred_attacker(VAR_V_59) ) ).
fof(ax96,axiom,
! [VAR_V_62] :
( pred_attacker(VAR_V_62)
=> pred_attacker(tuple_out_2(VAR_V_62)) ) ).
fof(ax97,axiom,
! [VAR_V_65] :
( pred_attacker(tuple_out_2(VAR_V_65))
=> pred_attacker(VAR_V_65) ) ).
fof(ax98,axiom,
! [VAR_V_68] :
( pred_attacker(VAR_V_68)
=> pred_attacker(tuple_out_1(VAR_V_68)) ) ).
fof(ax99,axiom,
! [VAR_V_71] :
( pred_attacker(tuple_out_1(VAR_V_71))
=> pred_attacker(VAR_V_71) ) ).
fof(ax100,axiom,
! [VAR_V_75] :
( pred_attacker(VAR_V_75)
=> pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_75)) ) ).
fof(ax101,axiom,
! [VAR_V_78] :
( pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_78))
=> pred_attacker(VAR_V_78) ) ).
fof(ax102,axiom,
! [VAR_V_82,VAR_V_83] :
( ( pred_attacker(VAR_V_82)
& pred_attacker(VAR_V_83) )
=> pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_82,VAR_V_83)) ) ).
fof(ax103,axiom,
! [VAR_V_90X30,VAR_V_91] :
( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_90X30,VAR_V_91))
=> pred_attacker(VAR_V_90X30) ) ).
fof(ax104,axiom,
! [VAR_V_93,VAR_V_94] :
( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_93,VAR_V_94))
=> pred_attacker(VAR_V_94) ) ).
fof(ax105,axiom,
! [VAR_V_98,VAR_V_99] :
( ( pred_attacker(VAR_V_98)
& pred_attacker(VAR_V_99) )
=> pred_attacker(tuple_key_register_server_in_1(VAR_V_98,VAR_V_99)) ) ).
fof(ax106,axiom,
! [VAR_V_10X306,VAR_V_10X307] :
( pred_attacker(tuple_key_register_server_in_1(VAR_V_10X306,VAR_V_10X307))
=> pred_attacker(VAR_V_10X306) ) ).
fof(ax107,axiom,
! [VAR_V_10X309,VAR_V_110X30] :
( pred_attacker(tuple_key_register_server_in_1(VAR_V_10X309,VAR_V_110X30))
=> pred_attacker(VAR_V_110X30) ) ).
fof(ax108,axiom,
! [VAR_V_113] :
( pred_attacker(VAR_V_113)
=> pred_attacker(constr_getmess(VAR_V_113)) ) ).
fof(ax109,axiom,
pred_attacker(tuple_false) ).
fof(ax110,axiom,
! [VAR_V_116,VAR_V_117] :
( ( pred_attacker(VAR_V_116)
& pred_attacker(VAR_V_117) )
=> pred_attacker(constr_enc(VAR_V_116,VAR_V_117)) ) ).
fof(ax111,axiom,
! [VAR_V_120X30,VAR_V_121] :
( ( pred_attacker(VAR_V_120X30)
& pred_attacker(VAR_V_121) )
=> pred_attacker(constr_dec(VAR_V_120X30,VAR_V_121)) ) ).
fof(ax112,axiom,
! [VAR_V_123] :
( pred_attacker(VAR_V_123)
=> pred_attacker(tuple_client_B_out_6(VAR_V_123)) ) ).
fof(ax113,axiom,
! [VAR_V_126] :
( pred_attacker(tuple_client_B_out_6(VAR_V_126))
=> pred_attacker(VAR_V_126) ) ).
fof(ax114,axiom,
! [VAR_V_129] :
( pred_attacker(VAR_V_129)
=> pred_attacker(tuple_client_B_out_4(VAR_V_129)) ) ).
fof(ax115,axiom,
! [VAR_V_132] :
( pred_attacker(tuple_client_B_out_4(VAR_V_132))
=> pred_attacker(VAR_V_132) ) ).
fof(ax116,axiom,
! [VAR_V_136,VAR_V_137] :
( ( pred_attacker(VAR_V_136)
& pred_attacker(VAR_V_137) )
=> pred_attacker(tuple_client_B_out_1(VAR_V_136,VAR_V_137)) ) ).
fof(ax117,axiom,
! [VAR_V_144,VAR_V_145] :
( pred_attacker(tuple_client_B_out_1(VAR_V_144,VAR_V_145))
=> pred_attacker(VAR_V_144) ) ).
fof(ax118,axiom,
! [VAR_V_147,VAR_V_148] :
( pred_attacker(tuple_client_B_out_1(VAR_V_147,VAR_V_148))
=> pred_attacker(VAR_V_148) ) ).
fof(ax119,axiom,
! [VAR_V_151] :
( pred_attacker(VAR_V_151)
=> pred_attacker(tuple_client_B_in_5(VAR_V_151)) ) ).
fof(ax120,axiom,
! [VAR_V_154] :
( pred_attacker(tuple_client_B_in_5(VAR_V_154))
=> pred_attacker(VAR_V_154) ) ).
fof(ax121,axiom,
! [VAR_V_157] :
( pred_attacker(VAR_V_157)
=> pred_attacker(tuple_client_B_in_3(VAR_V_157)) ) ).
fof(ax122,axiom,
! [VAR_V_160X30] :
( pred_attacker(tuple_client_B_in_3(VAR_V_160X30))
=> pred_attacker(VAR_V_160X30) ) ).
fof(ax123,axiom,
! [VAR_V_163] :
( pred_attacker(VAR_V_163)
=> pred_attacker(tuple_client_B_in_2(VAR_V_163)) ) ).
fof(ax124,axiom,
! [VAR_V_166] :
( pred_attacker(tuple_client_B_in_2(VAR_V_166))
=> pred_attacker(VAR_V_166) ) ).
fof(ax125,axiom,
! [VAR_V_169] :
( pred_attacker(VAR_V_169)
=> pred_attacker(tuple_client_A_out_5(VAR_V_169)) ) ).
fof(ax126,axiom,
! [VAR_V_172] :
( pred_attacker(tuple_client_A_out_5(VAR_V_172))
=> pred_attacker(VAR_V_172) ) ).
fof(ax127,axiom,
! [VAR_V_175] :
( pred_attacker(VAR_V_175)
=> pred_attacker(tuple_client_A_out_3(VAR_V_175)) ) ).
fof(ax128,axiom,
! [VAR_V_178] :
( pred_attacker(tuple_client_A_out_3(VAR_V_178))
=> pred_attacker(VAR_V_178) ) ).
fof(ax129,axiom,
! [VAR_V_182,VAR_V_183] :
( ( pred_attacker(VAR_V_182)
& pred_attacker(VAR_V_183) )
=> pred_attacker(tuple_client_A_out_1(VAR_V_182,VAR_V_183)) ) ).
fof(ax130,axiom,
! [VAR_V_190X30,VAR_V_191] :
( pred_attacker(tuple_client_A_out_1(VAR_V_190X30,VAR_V_191))
=> pred_attacker(VAR_V_190X30) ) ).
fof(ax131,axiom,
! [VAR_V_193,VAR_V_194] :
( pred_attacker(tuple_client_A_out_1(VAR_V_193,VAR_V_194))
=> pred_attacker(VAR_V_194) ) ).
fof(ax132,axiom,
! [VAR_V_197] :
( pred_attacker(VAR_V_197)
=> pred_attacker(tuple_client_A_in_4(VAR_V_197)) ) ).
fof(ax133,axiom,
! [VAR_V_20X300X30] :
( pred_attacker(tuple_client_A_in_4(VAR_V_20X300X30))
=> pred_attacker(VAR_V_20X300X30) ) ).
fof(ax134,axiom,
! [VAR_V_20X303] :
( pred_attacker(VAR_V_20X303)
=> pred_attacker(tuple_client_A_in_2(VAR_V_20X303)) ) ).
fof(ax135,axiom,
! [VAR_V_20X306] :
( pred_attacker(tuple_client_A_in_2(VAR_V_20X306))
=> pred_attacker(VAR_V_20X306) ) ).
fof(ax136,axiom,
! [VAR_V_210X30,VAR_V_211] :
( ( pred_attacker(VAR_V_210X30)
& pred_attacker(VAR_V_211) )
=> pred_attacker(constr_checksign(VAR_V_210X30,VAR_V_211)) ) ).
fof(ax137,axiom,
! [VAR_V_214,VAR_V_215] :
( ( pred_attacker(VAR_V_214)
& pred_attacker(VAR_V_215) )
=> pred_attacker(constr_aenc(VAR_V_214,VAR_V_215)) ) ).
fof(ax138,axiom,
! [VAR_V_218,VAR_V_219] :
( ( pred_attacker(VAR_V_218)
& pred_attacker(VAR_V_219) )
=> pred_attacker(constr_adec(VAR_V_218,VAR_V_219)) ) ).
fof(ax139,axiom,
pred_attacker(constr_CONST_4) ).
fof(ax140,axiom,
pred_attacker(constr_CONST_3) ).
fof(ax141,axiom,
pred_attacker(constr_CONST_2) ).
fof(ax142,axiom,
pred_attacker(constr_CONST_1) ).
fof(ax143,axiom,
pred_attacker(constr_CONST_0x30) ).
fof(ax144,axiom,
! [VAR_V_226,VAR_V_227] :
( ( pred_attacker(VAR_V_226)
& pred_attacker(VAR_V_227) )
=> pred_attacker(tuple_2(VAR_V_226,VAR_V_227)) ) ).
fof(ax145,axiom,
! [VAR_V_234,VAR_V_235] :
( pred_attacker(tuple_2(VAR_V_234,VAR_V_235))
=> pred_attacker(VAR_V_234) ) ).
fof(ax146,axiom,
! [VAR_V_237,VAR_V_238] :
( pred_attacker(tuple_2(VAR_V_237,VAR_V_238))
=> pred_attacker(VAR_V_238) ) ).
fof(ax147,axiom,
! [VAR_V_240X30,VAR_V_241] :
( ( pred_mess(VAR_V_241,VAR_V_240X30)
& pred_attacker(VAR_V_241) )
=> pred_attacker(VAR_V_240X30) ) ).
fof(ax148,axiom,
! [VAR_V_242,VAR_V_243] :
( ( pred_attacker(VAR_V_243)
& pred_attacker(VAR_V_242) )
=> pred_mess(VAR_V_243,VAR_V_242) ) ).
fof(ax149,axiom,
pred_attacker(name_c) ).
fof(ax150,axiom,
pred_attacker(name_I) ).
fof(ax151,axiom,
pred_attacker(name_B) ).
fof(ax152,axiom,
pred_attacker(name_A) ).
fof(ax153,axiom,
! [VAR_V_245] : pred_equal(VAR_V_245,VAR_V_245) ).
fof(ax154,axiom,
! [VAR_V_246] : pred_attacker(name_new0x2Dname(VAR_V_246)) ).
fof(ax155,axiom,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))) ).
fof(ax156,axiom,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))) ).
fof(ax157,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))) ).
fof(ax158,axiom,
pred_attacker(tuple_out_2(constr_pkey(name_skB))) ).
fof(ax159,axiom,
pred_attacker(tuple_out_3(constr_pkey(name_skS))) ).
fof(ax160,axiom,
pred_attacker(tuple_client_A_out_1(name_A,name_I)) ).
fof(ax161,axiom,
! [VAR_0X40SID_366,VAR_SIGN_I_PKI_365] :
( ( pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_365,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_365)) )
=> pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(VAR_0X40SID_366),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_365,constr_pkey(name_skS)))))) ) ).
fof(ax162,axiom,
! [VAR_0X40SID_414,VAR_AENC_NA_NI_415,VAR_SIGN_I_PKI_416] :
( ( pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_414),constr_tuple_2_get_0x30(constr_adec(VAR_AENC_NA_NI_415,name_skA)))
& pred_attacker(tuple_client_A_in_4(VAR_AENC_NA_NI_415))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_416,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_416)) )
=> pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(VAR_AENC_NA_NI_415,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_416,constr_pkey(name_skS)))))) ) ).
fof(ax163,axiom,
pred_attacker(tuple_client_B_out_1(name_B,name_A)) ).
fof(ax164,axiom,
! [VAR_0X40SID_523,VAR_AENC_NA_A_521,VAR_SIGN_A_PKA_522] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_521,name_skB)))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_521))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_522,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_522)) )
=> pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_A_521,name_skB)),name_Nb(VAR_0X40SID_523)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_A_PKA_522,constr_pkey(name_skS)))))) ) ).
fof(ax165,axiom,
! [VAR_0X40SID_545,VAR_AENC_NA_A_547,VAR_AENC_NB_546,VAR_SIGN_A_PKA_548] :
( ( pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545),constr_adec(VAR_AENC_NB_546,name_skB))
& pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547,name_skB)))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ) ).
fof(ax166,axiom,
! [VAR_DST_587,VAR_PKDST_588,VAR_SRC_589] :
( ( pred_table(tuple_keys(VAR_DST_587,VAR_PKDST_588))
& pred_attacker(tuple_key_retrieval_server_in_1(VAR_SRC_589,VAR_DST_587)) )
=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(VAR_DST_587,VAR_PKDST_588),name_skS))) ) ).
fof(ax167,axiom,
! [VAR_HOST_641,VAR_PK_642] :
( ( VAR_HOST_641 != name_B
& VAR_HOST_641 != name_A
& pred_attacker(tuple_key_register_server_in_1(VAR_HOST_641,VAR_PK_642)) )
=> pred_table(tuple_keys(VAR_HOST_641,VAR_PK_642)) ) ).
fof(co0,conjecture,
pred_attacker(name_objective) ).
%--------------------------------------------------------------------------