TPTP Problem File: SWW966+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SWW966+1 : TPTP v8.2.0. Released v7.4.0.
% Domain : Software Verification
% Problem : Attack on a variant of Needham-Schroeder-Lowe Public Key Protocol
% Version : [LT19] axioms : Especial.
% English : Uses XOR. Attack demonstrates an impersonation attack and
% violation of secrecy of nonce Nb.
% 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 : NSLPK-XOR-agree-A-to-B-secrecy.p [LT20]
% Status : Theorem
% Rating : 0.83 v8.2.0, 0.92 v8.1.0, 0.83 v7.5.0, 0.91 v7.4.0
% Syntax : Number of formulae : 188 ( 126 unt; 0 def)
% Number of atoms : 279 ( 105 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 184 ( 93 ~; 0 |; 29 &)
% ( 0 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% Number of functors : 51 ( 51 usr; 16 con; 0-2 aty)
% Number of variables : 125 ( 125 !; 0 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : Generated by a modified version of ProVerif used in the
% ProVerif-ATP project [LT19].
% : Line 397 (conjecture) is patched manually (made VAR_V_683 explicitly universally quantified)
%--------------------------------------------------------------------------
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 != constr_ZERO ).
fof(ax5,axiom,
constr_CONST_0x30 != name_A ).
fof(ax6,axiom,
constr_CONST_0x30 != name_B ).
fof(ax7,axiom,
constr_CONST_0x30 != name_I ).
fof(ax8,axiom,
constr_CONST_0x30 != name_c ).
fof(ax9,axiom,
constr_CONST_0x30 != name_objective ).
fof(ax10,axiom,
constr_CONST_0x30 != name_skA ).
fof(ax11,axiom,
constr_CONST_0x30 != name_skB ).
fof(ax12,axiom,
constr_CONST_0x30 != name_skS ).
fof(ax13,axiom,
constr_CONST_1 != constr_CONST_2 ).
fof(ax14,axiom,
constr_CONST_1 != constr_CONST_3 ).
fof(ax15,axiom,
constr_CONST_1 != constr_CONST_4 ).
fof(ax16,axiom,
constr_CONST_1 != constr_ZERO ).
fof(ax17,axiom,
constr_CONST_1 != name_A ).
fof(ax18,axiom,
constr_CONST_1 != name_B ).
fof(ax19,axiom,
constr_CONST_1 != name_I ).
fof(ax20,axiom,
constr_CONST_1 != name_c ).
fof(ax21,axiom,
constr_CONST_1 != name_objective ).
fof(ax22,axiom,
constr_CONST_1 != name_skA ).
fof(ax23,axiom,
constr_CONST_1 != name_skB ).
fof(ax24,axiom,
constr_CONST_1 != name_skS ).
fof(ax25,axiom,
constr_CONST_2 != constr_CONST_3 ).
fof(ax26,axiom,
constr_CONST_2 != constr_CONST_4 ).
fof(ax27,axiom,
constr_CONST_2 != constr_ZERO ).
fof(ax28,axiom,
constr_CONST_2 != name_A ).
fof(ax29,axiom,
constr_CONST_2 != name_B ).
fof(ax30,axiom,
constr_CONST_2 != name_I ).
fof(ax31,axiom,
constr_CONST_2 != name_c ).
fof(ax32,axiom,
constr_CONST_2 != name_objective ).
fof(ax33,axiom,
constr_CONST_2 != name_skA ).
fof(ax34,axiom,
constr_CONST_2 != name_skB ).
fof(ax35,axiom,
constr_CONST_2 != name_skS ).
fof(ax36,axiom,
constr_CONST_3 != constr_CONST_4 ).
fof(ax37,axiom,
constr_CONST_3 != constr_ZERO ).
fof(ax38,axiom,
constr_CONST_3 != name_A ).
fof(ax39,axiom,
constr_CONST_3 != name_B ).
fof(ax40,axiom,
constr_CONST_3 != name_I ).
fof(ax41,axiom,
constr_CONST_3 != name_c ).
fof(ax42,axiom,
constr_CONST_3 != name_objective ).
fof(ax43,axiom,
constr_CONST_3 != name_skA ).
fof(ax44,axiom,
constr_CONST_3 != name_skB ).
fof(ax45,axiom,
constr_CONST_3 != name_skS ).
fof(ax46,axiom,
constr_CONST_4 != constr_ZERO ).
fof(ax47,axiom,
constr_CONST_4 != name_A ).
fof(ax48,axiom,
constr_CONST_4 != name_B ).
fof(ax49,axiom,
constr_CONST_4 != name_I ).
fof(ax50,axiom,
constr_CONST_4 != name_c ).
fof(ax51,axiom,
constr_CONST_4 != name_objective ).
fof(ax52,axiom,
constr_CONST_4 != name_skA ).
fof(ax53,axiom,
constr_CONST_4 != name_skB ).
fof(ax54,axiom,
constr_CONST_4 != name_skS ).
fof(ax55,axiom,
constr_ZERO != name_A ).
fof(ax56,axiom,
constr_ZERO != name_B ).
fof(ax57,axiom,
constr_ZERO != name_I ).
fof(ax58,axiom,
constr_ZERO != name_c ).
fof(ax59,axiom,
constr_ZERO != name_objective ).
fof(ax60,axiom,
constr_ZERO != name_skA ).
fof(ax61,axiom,
constr_ZERO != name_skB ).
fof(ax62,axiom,
constr_ZERO != name_skS ).
fof(ax63,axiom,
name_A != name_B ).
fof(ax64,axiom,
name_A != name_I ).
fof(ax65,axiom,
name_A != name_c ).
fof(ax66,axiom,
name_A != name_objective ).
fof(ax67,axiom,
name_A != name_skA ).
fof(ax68,axiom,
name_A != name_skB ).
fof(ax69,axiom,
name_A != name_skS ).
fof(ax70,axiom,
name_B != name_I ).
fof(ax71,axiom,
name_B != name_c ).
fof(ax72,axiom,
name_B != name_objective ).
fof(ax73,axiom,
name_B != name_skA ).
fof(ax74,axiom,
name_B != name_skB ).
fof(ax75,axiom,
name_B != name_skS ).
fof(ax76,axiom,
name_I != name_c ).
fof(ax77,axiom,
name_I != name_objective ).
fof(ax78,axiom,
name_I != name_skA ).
fof(ax79,axiom,
name_I != name_skB ).
fof(ax80,axiom,
name_I != name_skS ).
fof(ax81,axiom,
name_c != name_objective ).
fof(ax82,axiom,
name_c != name_skA ).
fof(ax83,axiom,
name_c != name_skB ).
fof(ax84,axiom,
name_c != name_skS ).
fof(ax85,axiom,
name_objective != name_skA ).
fof(ax86,axiom,
name_objective != name_skB ).
fof(ax87,axiom,
name_objective != name_skS ).
fof(ax88,axiom,
name_skA != name_skB ).
fof(ax89,axiom,
name_skA != name_skS ).
fof(ax90,axiom,
name_skB != name_skS ).
fof(ax91,axiom,
! [VAR_K_24,VAR_M_23] : constr_adec(constr_aenc(VAR_M_23,constr_pkey(VAR_K_24)),VAR_K_24) = VAR_M_23 ).
fof(ax92,axiom,
! [VAR_K_22,VAR_M_21] : constr_dec(constr_enc(VAR_M_21,VAR_K_22),VAR_K_22) = VAR_M_21 ).
fof(ax93,axiom,
! [VAR_K_20X30,VAR_M_19] : constr_getmess(constr_sign(VAR_M_19,VAR_K_20X30)) = VAR_M_19 ).
fof(ax94,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(ax95,axiom,
! [VAR_X_18] : constr_xor(VAR_X_18,VAR_X_18) = constr_ZERO ).
fof(ax96,axiom,
! [VAR_X_17] : constr_xor(VAR_X_17,constr_ZERO) = VAR_X_17 ).
fof(ax97,axiom,
! [VAR_X_15,VAR_Y_16] : constr_xor(VAR_X_15,VAR_Y_16) = constr_xor(VAR_Y_16,VAR_X_15) ).
fof(ax98,axiom,
! [VAR_X_13,VAR_Y_14,VAR_Z_0X30] : constr_xor(VAR_X_13,constr_xor(VAR_Y_14,VAR_Z_0X30)) = constr_xor(constr_xor(VAR_X_13,VAR_Y_14),VAR_Z_0X30) ).
fof(ax99,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(ax100,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(ax101,axiom,
! [VAR_X0X30_7,VAR_X1_8] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_7,VAR_X1_8)) = VAR_X1_8 ).
fof(ax102,axiom,
! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_0x30(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X0X30_0X30 ).
fof(ax103,axiom,
! [VAR_X_42,VAR_Y_43] : pred_eq_bitstring_bitstring(VAR_X_42,VAR_Y_43) ).
fof(ax104,axiom,
! [VAR_V_50X30,VAR_V_51] :
( ( pred_attacker(VAR_V_50X30)
& pred_attacker(VAR_V_51) )
=> pred_attacker(constr_xor(VAR_V_50X30,VAR_V_51)) ) ).
fof(ax105,axiom,
! [VAR_V_53] :
( pred_attacker(VAR_V_53)
=> pred_attacker(constr_tuple_2_get_1_bitstring(VAR_V_53)) ) ).
fof(ax106,axiom,
! [VAR_V_55] :
( pred_attacker(VAR_V_55)
=> pred_attacker(constr_tuple_2_get_1(VAR_V_55)) ) ).
fof(ax107,axiom,
! [VAR_V_57] :
( pred_attacker(VAR_V_57)
=> pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_57)) ) ).
fof(ax108,axiom,
! [VAR_V_59] :
( pred_attacker(VAR_V_59)
=> pred_attacker(constr_tuple_2_get_0x30(VAR_V_59)) ) ).
fof(ax109,axiom,
pred_attacker(tuple_true) ).
fof(ax110,axiom,
! [VAR_V_62,VAR_V_63] :
( ( pred_attacker(VAR_V_62)
& pred_attacker(VAR_V_63) )
=> pred_attacker(constr_sign(VAR_V_62,VAR_V_63)) ) ).
fof(ax111,axiom,
! [VAR_V_65] :
( pred_attacker(VAR_V_65)
=> pred_attacker(constr_pkey(VAR_V_65)) ) ).
fof(ax112,axiom,
! [VAR_V_67] :
( pred_attacker(VAR_V_67)
=> pred_attacker(tuple_out_3(VAR_V_67)) ) ).
fof(ax113,axiom,
! [VAR_V_70X30] :
( pred_attacker(tuple_out_3(VAR_V_70X30))
=> pred_attacker(VAR_V_70X30) ) ).
fof(ax114,axiom,
! [VAR_V_73] :
( pred_attacker(VAR_V_73)
=> pred_attacker(tuple_out_2(VAR_V_73)) ) ).
fof(ax115,axiom,
! [VAR_V_76] :
( pred_attacker(tuple_out_2(VAR_V_76))
=> pred_attacker(VAR_V_76) ) ).
fof(ax116,axiom,
! [VAR_V_79] :
( pred_attacker(VAR_V_79)
=> pred_attacker(tuple_out_1(VAR_V_79)) ) ).
fof(ax117,axiom,
! [VAR_V_82] :
( pred_attacker(tuple_out_1(VAR_V_82))
=> pred_attacker(VAR_V_82) ) ).
fof(ax118,axiom,
! [VAR_V_86] :
( pred_attacker(VAR_V_86)
=> pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_86)) ) ).
fof(ax119,axiom,
! [VAR_V_89] :
( pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_89))
=> pred_attacker(VAR_V_89) ) ).
fof(ax120,axiom,
! [VAR_V_93,VAR_V_94] :
( ( pred_attacker(VAR_V_93)
& pred_attacker(VAR_V_94) )
=> pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_93,VAR_V_94)) ) ).
fof(ax121,axiom,
! [VAR_V_10X301,VAR_V_10X302] :
( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_10X301,VAR_V_10X302))
=> pred_attacker(VAR_V_10X301) ) ).
fof(ax122,axiom,
! [VAR_V_10X304,VAR_V_10X305] :
( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_10X304,VAR_V_10X305))
=> pred_attacker(VAR_V_10X305) ) ).
fof(ax123,axiom,
! [VAR_V_10X309,VAR_V_110X30] :
( ( pred_attacker(VAR_V_10X309)
& pred_attacker(VAR_V_110X30) )
=> pred_attacker(tuple_key_register_server_in_1(VAR_V_10X309,VAR_V_110X30)) ) ).
fof(ax124,axiom,
! [VAR_V_117,VAR_V_118] :
( pred_attacker(tuple_key_register_server_in_1(VAR_V_117,VAR_V_118))
=> pred_attacker(VAR_V_117) ) ).
fof(ax125,axiom,
! [VAR_V_120X30,VAR_V_121] :
( pred_attacker(tuple_key_register_server_in_1(VAR_V_120X30,VAR_V_121))
=> pred_attacker(VAR_V_121) ) ).
fof(ax126,axiom,
! [VAR_V_124] :
( pred_attacker(VAR_V_124)
=> pred_attacker(constr_getmess(VAR_V_124)) ) ).
fof(ax127,axiom,
pred_attacker(tuple_false) ).
fof(ax128,axiom,
! [VAR_V_127,VAR_V_128] :
( ( pred_attacker(VAR_V_127)
& pred_attacker(VAR_V_128) )
=> pred_attacker(constr_enc(VAR_V_127,VAR_V_128)) ) ).
fof(ax129,axiom,
! [VAR_V_131,VAR_V_132] :
( ( pred_attacker(VAR_V_131)
& pred_attacker(VAR_V_132) )
=> pred_attacker(constr_dec(VAR_V_131,VAR_V_132)) ) ).
fof(ax130,axiom,
! [VAR_V_134] :
( pred_attacker(VAR_V_134)
=> pred_attacker(tuple_client_B_out_6(VAR_V_134)) ) ).
fof(ax131,axiom,
! [VAR_V_137] :
( pred_attacker(tuple_client_B_out_6(VAR_V_137))
=> pred_attacker(VAR_V_137) ) ).
fof(ax132,axiom,
! [VAR_V_140X30] :
( pred_attacker(VAR_V_140X30)
=> pred_attacker(tuple_client_B_out_4(VAR_V_140X30)) ) ).
fof(ax133,axiom,
! [VAR_V_143] :
( pred_attacker(tuple_client_B_out_4(VAR_V_143))
=> pred_attacker(VAR_V_143) ) ).
fof(ax134,axiom,
! [VAR_V_147,VAR_V_148] :
( ( pred_attacker(VAR_V_147)
& pred_attacker(VAR_V_148) )
=> pred_attacker(tuple_client_B_out_1(VAR_V_147,VAR_V_148)) ) ).
fof(ax135,axiom,
! [VAR_V_155,VAR_V_156] :
( pred_attacker(tuple_client_B_out_1(VAR_V_155,VAR_V_156))
=> pred_attacker(VAR_V_155) ) ).
fof(ax136,axiom,
! [VAR_V_158,VAR_V_159] :
( pred_attacker(tuple_client_B_out_1(VAR_V_158,VAR_V_159))
=> pred_attacker(VAR_V_159) ) ).
fof(ax137,axiom,
! [VAR_V_162] :
( pred_attacker(VAR_V_162)
=> pred_attacker(tuple_client_B_in_5(VAR_V_162)) ) ).
fof(ax138,axiom,
! [VAR_V_165] :
( pred_attacker(tuple_client_B_in_5(VAR_V_165))
=> pred_attacker(VAR_V_165) ) ).
fof(ax139,axiom,
! [VAR_V_168] :
( pred_attacker(VAR_V_168)
=> pred_attacker(tuple_client_B_in_3(VAR_V_168)) ) ).
fof(ax140,axiom,
! [VAR_V_171] :
( pred_attacker(tuple_client_B_in_3(VAR_V_171))
=> pred_attacker(VAR_V_171) ) ).
fof(ax141,axiom,
! [VAR_V_174] :
( pred_attacker(VAR_V_174)
=> pred_attacker(tuple_client_B_in_2(VAR_V_174)) ) ).
fof(ax142,axiom,
! [VAR_V_177] :
( pred_attacker(tuple_client_B_in_2(VAR_V_177))
=> pred_attacker(VAR_V_177) ) ).
fof(ax143,axiom,
! [VAR_V_180X30] :
( pred_attacker(VAR_V_180X30)
=> pred_attacker(tuple_client_A_out_5(VAR_V_180X30)) ) ).
fof(ax144,axiom,
! [VAR_V_183] :
( pred_attacker(tuple_client_A_out_5(VAR_V_183))
=> pred_attacker(VAR_V_183) ) ).
fof(ax145,axiom,
! [VAR_V_186] :
( pred_attacker(VAR_V_186)
=> pred_attacker(tuple_client_A_out_3(VAR_V_186)) ) ).
fof(ax146,axiom,
! [VAR_V_189] :
( pred_attacker(tuple_client_A_out_3(VAR_V_189))
=> pred_attacker(VAR_V_189) ) ).
fof(ax147,axiom,
! [VAR_V_193,VAR_V_194] :
( ( pred_attacker(VAR_V_193)
& pred_attacker(VAR_V_194) )
=> pred_attacker(tuple_client_A_out_1(VAR_V_193,VAR_V_194)) ) ).
fof(ax148,axiom,
! [VAR_V_20X301,VAR_V_20X302] :
( pred_attacker(tuple_client_A_out_1(VAR_V_20X301,VAR_V_20X302))
=> pred_attacker(VAR_V_20X301) ) ).
fof(ax149,axiom,
! [VAR_V_20X304,VAR_V_20X305] :
( pred_attacker(tuple_client_A_out_1(VAR_V_20X304,VAR_V_20X305))
=> pred_attacker(VAR_V_20X305) ) ).
fof(ax150,axiom,
! [VAR_V_20X308] :
( pred_attacker(VAR_V_20X308)
=> pred_attacker(tuple_client_A_in_4(VAR_V_20X308)) ) ).
fof(ax151,axiom,
! [VAR_V_211] :
( pred_attacker(tuple_client_A_in_4(VAR_V_211))
=> pred_attacker(VAR_V_211) ) ).
fof(ax152,axiom,
! [VAR_V_214] :
( pred_attacker(VAR_V_214)
=> pred_attacker(tuple_client_A_in_2(VAR_V_214)) ) ).
fof(ax153,axiom,
! [VAR_V_217] :
( pred_attacker(tuple_client_A_in_2(VAR_V_217))
=> pred_attacker(VAR_V_217) ) ).
fof(ax154,axiom,
! [VAR_V_221,VAR_V_222] :
( ( pred_attacker(VAR_V_221)
& pred_attacker(VAR_V_222) )
=> pred_attacker(constr_checksign(VAR_V_221,VAR_V_222)) ) ).
fof(ax155,axiom,
! [VAR_V_225,VAR_V_226] :
( ( pred_attacker(VAR_V_225)
& pred_attacker(VAR_V_226) )
=> pred_attacker(constr_aenc(VAR_V_225,VAR_V_226)) ) ).
fof(ax156,axiom,
! [VAR_V_229,VAR_V_230X30] :
( ( pred_attacker(VAR_V_229)
& pred_attacker(VAR_V_230X30) )
=> pred_attacker(constr_adec(VAR_V_229,VAR_V_230X30)) ) ).
fof(ax157,axiom,
pred_attacker(constr_ZERO) ).
fof(ax158,axiom,
pred_attacker(constr_CONST_4) ).
fof(ax159,axiom,
pred_attacker(constr_CONST_3) ).
fof(ax160,axiom,
pred_attacker(constr_CONST_2) ).
fof(ax161,axiom,
pred_attacker(constr_CONST_1) ).
fof(ax162,axiom,
pred_attacker(constr_CONST_0x30) ).
fof(ax163,axiom,
! [VAR_V_237,VAR_V_238] :
( ( pred_attacker(VAR_V_237)
& pred_attacker(VAR_V_238) )
=> pred_attacker(tuple_2(VAR_V_237,VAR_V_238)) ) ).
fof(ax164,axiom,
! [VAR_V_245,VAR_V_246] :
( pred_attacker(tuple_2(VAR_V_245,VAR_V_246))
=> pred_attacker(VAR_V_245) ) ).
fof(ax165,axiom,
! [VAR_V_248,VAR_V_249] :
( pred_attacker(tuple_2(VAR_V_248,VAR_V_249))
=> pred_attacker(VAR_V_249) ) ).
fof(ax166,axiom,
! [VAR_V_251,VAR_V_252] :
( ( pred_mess(VAR_V_252,VAR_V_251)
& pred_attacker(VAR_V_252) )
=> pred_attacker(VAR_V_251) ) ).
fof(ax167,axiom,
! [VAR_V_253,VAR_V_254] :
( ( pred_attacker(VAR_V_254)
& pred_attacker(VAR_V_253) )
=> pred_mess(VAR_V_254,VAR_V_253) ) ).
fof(ax168,axiom,
pred_attacker(name_c) ).
fof(ax169,axiom,
pred_attacker(name_I) ).
fof(ax170,axiom,
pred_attacker(name_B) ).
fof(ax171,axiom,
pred_attacker(name_A) ).
fof(ax172,axiom,
! [VAR_V_256] : pred_equal(VAR_V_256,VAR_V_256) ).
fof(ax173,axiom,
! [VAR_V_257] : pred_attacker(name_new0x2Dname(VAR_V_257)) ).
fof(ax174,axiom,
pred_table(tuple_keys(name_A,constr_pkey(name_skA))) ).
fof(ax175,axiom,
pred_table(tuple_keys(name_B,constr_pkey(name_skB))) ).
fof(ax176,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))) ).
fof(ax177,axiom,
pred_attacker(tuple_out_2(constr_pkey(name_skB))) ).
fof(ax178,axiom,
pred_attacker(tuple_out_3(constr_pkey(name_skS))) ).
fof(ax179,axiom,
pred_attacker(tuple_client_A_out_1(name_A,name_I)) ).
fof(ax180,axiom,
! [VAR_0X40SID_377,VAR_SIGN_I_PKI_376] :
( ( pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_376,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_376)) )
=> pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(VAR_0X40SID_377),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_376,constr_pkey(name_skS)))))) ) ).
fof(ax181,axiom,
! [VAR_0X40SID_436,VAR_AENC_NA_XOR_I_NI_435,VAR_SIGN_I_PKI_437] :
( ( pred_eq_bitstring_bitstring(name_I,constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_XOR_I_NI_435,name_skA)),name_Na(VAR_0X40SID_436)))
& pred_attacker(tuple_client_A_in_4(VAR_AENC_NA_XOR_I_NI_435))
& pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_437,constr_pkey(name_skS))))
& pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_437)) )
=> pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(VAR_AENC_NA_XOR_I_NI_435,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_437,constr_pkey(name_skS)))))) ) ).
fof(ax182,axiom,
pred_attacker(tuple_client_B_out_1(name_B,name_A)) ).
fof(ax183,axiom,
! [VAR_0X40SID_554,VAR_AENC_NA_A_552,VAR_SIGN_A_PKA_553] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_552,name_skB)))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_552))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_553,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_553)) )
=> pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_A_552,name_skB)),name_B),name_Nb(VAR_0X40SID_554)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_A_PKA_553,constr_pkey(name_skS)))))) ) ).
fof(ax184,axiom,
! [VAR_0X40SID_578,VAR_AENC_NA_A_580X30,VAR_AENC_NB_579,VAR_SIGN_A_PKA_581] :
( ( pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_578),constr_adec(VAR_AENC_NB_579,name_skB))
& pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_579))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_580X30,name_skB)))
& pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_580X30))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_581,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_581)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ) ).
fof(ax185,axiom,
! [VAR_DST_620X30,VAR_PKDST_621,VAR_SRC_622] :
( ( pred_table(tuple_keys(VAR_DST_620X30,VAR_PKDST_621))
& pred_attacker(tuple_key_retrieval_server_in_1(VAR_SRC_622,VAR_DST_620X30)) )
=> pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(VAR_DST_620X30,VAR_PKDST_621),name_skS))) ) ).
fof(ax186,axiom,
! [VAR_HOST_674,VAR_PK_675] :
( ( VAR_HOST_674 != name_B
& VAR_HOST_674 != name_A
& pred_attacker(tuple_key_register_server_in_1(VAR_HOST_674,VAR_PK_675)) )
=> pred_table(tuple_keys(VAR_HOST_674,VAR_PK_675)) ) ).
fof(co0,conjecture,
! [VAR_V_683] : pred_attacker(tuple_2(name_Nb(VAR_V_683),name_objective)) ).
%--------------------------------------------------------------------------