TPTP Problem File: SWW968+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SWW968+1 : TPTP v8.2.0. Released v7.4.0.
% Domain : Software Verification
% Problem : Attack on LD07 protocol
% Version : [LT19] axioms : Especial.
% English : Attack demonstrates an impersonation attack, and A is tricked
% into accepting a publicly known nonce Na as key shared with 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 : NS-CBC-alive-known-key.p [LT20]
% Status : Theorem
% Rating : 0.56 v8.1.0, 0.53 v7.5.0, 0.62 v7.4.0
% Syntax : Number of formulae : 190 ( 111 unt; 0 def)
% Number of atoms : 322 ( 95 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 210 ( 78 ~; 0 |; 53 &)
% ( 0 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty)
% Number of functors : 61 ( 61 usr; 15 con; 0-5 aty)
% Number of variables : 224 ( 224 !; 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_Kas ).
fof(ax8,axiom,
constr_CONST_0x30 != name_Kbs ).
fof(ax9,axiom,
constr_CONST_0x30 != name_c ).
fof(ax10,axiom,
constr_CONST_0x30 != name_objective1 ).
fof(ax11,axiom,
constr_CONST_0x30 != name_objective2 ).
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_Kas ).
fof(ax19,axiom,
constr_CONST_1 != name_Kbs ).
fof(ax20,axiom,
constr_CONST_1 != name_c ).
fof(ax21,axiom,
constr_CONST_1 != name_objective1 ).
fof(ax22,axiom,
constr_CONST_1 != name_objective2 ).
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_Kas ).
fof(ax29,axiom,
constr_CONST_2 != name_Kbs ).
fof(ax30,axiom,
constr_CONST_2 != name_c ).
fof(ax31,axiom,
constr_CONST_2 != name_objective1 ).
fof(ax32,axiom,
constr_CONST_2 != name_objective2 ).
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_Kas ).
fof(ax38,axiom,
constr_CONST_3 != name_Kbs ).
fof(ax39,axiom,
constr_CONST_3 != name_c ).
fof(ax40,axiom,
constr_CONST_3 != name_objective1 ).
fof(ax41,axiom,
constr_CONST_3 != name_objective2 ).
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_Kas ).
fof(ax46,axiom,
constr_CONST_4 != name_Kbs ).
fof(ax47,axiom,
constr_CONST_4 != name_c ).
fof(ax48,axiom,
constr_CONST_4 != name_objective1 ).
fof(ax49,axiom,
constr_CONST_4 != name_objective2 ).
fof(ax50,axiom,
name_A != name_B ).
fof(ax51,axiom,
name_A != name_I ).
fof(ax52,axiom,
name_A != name_Kas ).
fof(ax53,axiom,
name_A != name_Kbs ).
fof(ax54,axiom,
name_A != name_c ).
fof(ax55,axiom,
name_A != name_objective1 ).
fof(ax56,axiom,
name_A != name_objective2 ).
fof(ax57,axiom,
name_B != name_I ).
fof(ax58,axiom,
name_B != name_Kas ).
fof(ax59,axiom,
name_B != name_Kbs ).
fof(ax60,axiom,
name_B != name_c ).
fof(ax61,axiom,
name_B != name_objective1 ).
fof(ax62,axiom,
name_B != name_objective2 ).
fof(ax63,axiom,
name_I != name_Kas ).
fof(ax64,axiom,
name_I != name_Kbs ).
fof(ax65,axiom,
name_I != name_c ).
fof(ax66,axiom,
name_I != name_objective1 ).
fof(ax67,axiom,
name_I != name_objective2 ).
fof(ax68,axiom,
name_Kas != name_Kbs ).
fof(ax69,axiom,
name_Kas != name_c ).
fof(ax70,axiom,
name_Kas != name_objective1 ).
fof(ax71,axiom,
name_Kas != name_objective2 ).
fof(ax72,axiom,
name_Kbs != name_c ).
fof(ax73,axiom,
name_Kbs != name_objective1 ).
fof(ax74,axiom,
name_Kbs != name_objective2 ).
fof(ax75,axiom,
name_c != name_objective1 ).
fof(ax76,axiom,
name_c != name_objective2 ).
fof(ax77,axiom,
name_objective1 != name_objective2 ).
fof(ax78,axiom,
! [VAR_K_62,VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61] : constr_cbc_dec_4(constr_cbc_enc_4(VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61,VAR_K_62),VAR_K_62) = tuple_4(VAR_X0X30_58,VAR_X1_59,VAR_X2_60X30,VAR_X3_61) ).
fof(ax79,axiom,
! [VAR_K_57,VAR_X0X30_54,VAR_X1_55,VAR_X2_56] : constr_cbc_dec_3(constr_cbc_enc_3(VAR_X0X30_54,VAR_X1_55,VAR_X2_56,VAR_K_57),VAR_K_57) = tuple_3(VAR_X0X30_54,VAR_X1_55,VAR_X2_56) ).
fof(ax80,axiom,
! [VAR_K_53,VAR_X0X30_51,VAR_X1_52] : constr_cbc_dec_2(constr_cbc_enc_2(VAR_X0X30_51,VAR_X1_52,VAR_K_53),VAR_K_53) = tuple_2(VAR_X0X30_51,VAR_X1_52) ).
fof(ax81,axiom,
! [VAR_K_50X30,VAR_X0X30_49] : constr_cbc_dec_1(constr_cbc_enc_1(VAR_X0X30_49,VAR_K_50X30),VAR_K_50X30) = VAR_X0X30_49 ).
fof(ax82,axiom,
! [VAR_K_48,VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_X3_47] : constr_cbc_4_get_3_prefixes(constr_cbc_enc_4(VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_X3_47,VAR_K_48)) = constr_cbc_enc_3(VAR_X0X30_44,VAR_X1_45,VAR_X2_46,VAR_K_48) ).
fof(ax83,axiom,
! [VAR_K_43,VAR_X0X30_39,VAR_X1_40X30,VAR_X2_41,VAR_X3_42] : constr_cbc_4_get_2_prefixes(constr_cbc_enc_4(VAR_X0X30_39,VAR_X1_40X30,VAR_X2_41,VAR_X3_42,VAR_K_43)) = constr_cbc_enc_2(VAR_X0X30_39,VAR_X1_40X30,VAR_K_43) ).
fof(ax84,axiom,
! [VAR_K_38,VAR_X0X30_34,VAR_X1_35,VAR_X2_36,VAR_X3_37] : constr_cbc_4_get_1_prefixes(constr_cbc_enc_4(VAR_X0X30_34,VAR_X1_35,VAR_X2_36,VAR_X3_37,VAR_K_38)) = constr_cbc_enc_1(VAR_X0X30_34,VAR_K_38) ).
fof(ax85,axiom,
! [VAR_K_33,VAR_X0X30_30X30,VAR_X1_31,VAR_X2_32] : constr_cbc_3_get_2_prefixes(constr_cbc_enc_3(VAR_X0X30_30X30,VAR_X1_31,VAR_X2_32,VAR_K_33)) = constr_cbc_enc_2(VAR_X0X30_30X30,VAR_X1_31,VAR_K_33) ).
fof(ax86,axiom,
! [VAR_K_29,VAR_X0X30_26,VAR_X1_27,VAR_X2_28] : constr_cbc_3_get_1_prefixes(constr_cbc_enc_3(VAR_X0X30_26,VAR_X1_27,VAR_X2_28,VAR_K_29)) = constr_cbc_enc_1(VAR_X0X30_26,VAR_K_29) ).
fof(ax87,axiom,
! [VAR_K_25,VAR_X0X30_23,VAR_X1_24] : constr_cbc_2_get_1_prefixes(constr_cbc_enc_2(VAR_X0X30_23,VAR_X1_24,VAR_K_25)) = constr_cbc_enc_1(VAR_X0X30_23,VAR_K_25) ).
fof(ax88,axiom,
! [VAR_K_0X30,VAR_M_0X30] : constr_dec(constr_enc(VAR_M_0X30,VAR_K_0X30),VAR_K_0X30) = VAR_M_0X30 ).
fof(ax89,axiom,
! [VAR_X0X30_19,VAR_X1_20X30,VAR_X2_21,VAR_X3_22] : constr_tuple_4_get_3_bitstring(tuple_4(VAR_X0X30_19,VAR_X1_20X30,VAR_X2_21,VAR_X3_22)) = VAR_X3_22 ).
fof(ax90,axiom,
! [VAR_X0X30_15,VAR_X1_16,VAR_X2_17,VAR_X3_18] : constr_tuple_4_get_2_bitstring(tuple_4(VAR_X0X30_15,VAR_X1_16,VAR_X2_17,VAR_X3_18)) = VAR_X2_17 ).
fof(ax91,axiom,
! [VAR_X0X30_13,VAR_X1_14] : constr_tuple_2_get_0x30_bitstring(tuple_2(VAR_X0X30_13,VAR_X1_14)) = VAR_X0X30_13 ).
fof(ax92,axiom,
! [VAR_X0X30_9,VAR_X1_10X30,VAR_X2_11,VAR_X3_12] : constr_tuple_4_get_1(tuple_4(VAR_X0X30_9,VAR_X1_10X30,VAR_X2_11,VAR_X3_12)) = VAR_X1_10X30 ).
fof(ax93,axiom,
! [VAR_X0X30_7,VAR_X1_8,VAR_X2_0X30,VAR_X3_0X30] : constr_tuple_4_get_0x30(tuple_4(VAR_X0X30_7,VAR_X1_8,VAR_X2_0X30,VAR_X3_0X30)) = VAR_X0X30_7 ).
fof(ax94,axiom,
! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X1_0X30 ).
fof(ax95,axiom,
! [VAR_X_81,VAR_Y_82] : pred_eq_bitstring_bitstring(VAR_X_81,VAR_Y_82) ).
fof(ax96,axiom,
! [VAR_V_88] :
( pred_attacker(VAR_V_88)
=> pred_attacker(constr_tuple_4_get_3_bitstring(VAR_V_88)) ) ).
fof(ax97,axiom,
! [VAR_V_90X30] :
( pred_attacker(VAR_V_90X30)
=> pred_attacker(constr_tuple_4_get_2_bitstring(VAR_V_90X30)) ) ).
fof(ax98,axiom,
! [VAR_V_92] :
( pred_attacker(VAR_V_92)
=> pred_attacker(constr_tuple_4_get_1(VAR_V_92)) ) ).
fof(ax99,axiom,
! [VAR_V_94] :
( pred_attacker(VAR_V_94)
=> pred_attacker(constr_tuple_4_get_0x30(VAR_V_94)) ) ).
fof(ax100,axiom,
! [VAR_V_96] :
( pred_attacker(VAR_V_96)
=> pred_attacker(constr_tuple_2_get_1(VAR_V_96)) ) ).
fof(ax101,axiom,
! [VAR_V_98] :
( pred_attacker(VAR_V_98)
=> pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_98)) ) ).
fof(ax102,axiom,
pred_attacker(tuple_true) ).
fof(ax103,axiom,
! [VAR_V_10X300X30] :
( pred_attacker(VAR_V_10X300X30)
=> pred_attacker(tuple_succ(VAR_V_10X300X30)) ) ).
fof(ax104,axiom,
! [VAR_V_10X303] :
( pred_attacker(tuple_succ(VAR_V_10X303))
=> pred_attacker(VAR_V_10X303) ) ).
fof(ax105,axiom,
! [VAR_V_10X306] :
( pred_attacker(VAR_V_10X306)
=> pred_attacker(tuple_server_S_out_2(VAR_V_10X306)) ) ).
fof(ax106,axiom,
! [VAR_V_10X309] :
( pred_attacker(tuple_server_S_out_2(VAR_V_10X309))
=> pred_attacker(VAR_V_10X309) ) ).
fof(ax107,axiom,
! [VAR_V_114,VAR_V_115,VAR_V_116] :
( ( pred_attacker(VAR_V_114)
& pred_attacker(VAR_V_115)
& pred_attacker(VAR_V_116) )
=> pred_attacker(tuple_server_S_in_1(VAR_V_114,VAR_V_115,VAR_V_116)) ) ).
fof(ax108,axiom,
! [VAR_V_129,VAR_V_130X30,VAR_V_131] :
( pred_attacker(tuple_server_S_in_1(VAR_V_129,VAR_V_130X30,VAR_V_131))
=> pred_attacker(VAR_V_129) ) ).
fof(ax109,axiom,
! [VAR_V_133,VAR_V_134,VAR_V_135] :
( pred_attacker(tuple_server_S_in_1(VAR_V_133,VAR_V_134,VAR_V_135))
=> pred_attacker(VAR_V_134) ) ).
fof(ax110,axiom,
! [VAR_V_137,VAR_V_138,VAR_V_139] :
( pred_attacker(tuple_server_S_in_1(VAR_V_137,VAR_V_138,VAR_V_139))
=> pred_attacker(VAR_V_139) ) ).
fof(ax111,axiom,
pred_attacker(tuple_false) ).
fof(ax112,axiom,
! [VAR_V_144,VAR_V_145] :
( ( pred_attacker(VAR_V_144)
& pred_attacker(VAR_V_145) )
=> pred_attacker(constr_enc(VAR_V_144,VAR_V_145)) ) ).
fof(ax113,axiom,
! [VAR_V_148,VAR_V_149] :
( ( pred_attacker(VAR_V_148)
& pred_attacker(VAR_V_149) )
=> pred_attacker(constr_dec(VAR_V_148,VAR_V_149)) ) ).
fof(ax114,axiom,
! [VAR_V_151] :
( pred_attacker(VAR_V_151)
=> pred_attacker(tuple_client_B_out_2(VAR_V_151)) ) ).
fof(ax115,axiom,
! [VAR_V_154] :
( pred_attacker(tuple_client_B_out_2(VAR_V_154))
=> pred_attacker(VAR_V_154) ) ).
fof(ax116,axiom,
! [VAR_V_157] :
( pred_attacker(VAR_V_157)
=> pred_attacker(tuple_client_B_in_3(VAR_V_157)) ) ).
fof(ax117,axiom,
! [VAR_V_160X30] :
( pred_attacker(tuple_client_B_in_3(VAR_V_160X30))
=> pred_attacker(VAR_V_160X30) ) ).
fof(ax118,axiom,
! [VAR_V_163] :
( pred_attacker(VAR_V_163)
=> pred_attacker(tuple_client_B_in_1(VAR_V_163)) ) ).
fof(ax119,axiom,
! [VAR_V_166] :
( pred_attacker(tuple_client_B_in_1(VAR_V_166))
=> pred_attacker(VAR_V_166) ) ).
fof(ax120,axiom,
! [VAR_V_169] :
( pred_attacker(VAR_V_169)
=> pred_attacker(tuple_client_A_out_9(VAR_V_169)) ) ).
fof(ax121,axiom,
! [VAR_V_172] :
( pred_attacker(tuple_client_A_out_9(VAR_V_172))
=> pred_attacker(VAR_V_172) ) ).
fof(ax122,axiom,
! [VAR_V_175] :
( pred_attacker(VAR_V_175)
=> pred_attacker(tuple_client_A_out_7(VAR_V_175)) ) ).
fof(ax123,axiom,
! [VAR_V_178] :
( pred_attacker(tuple_client_A_out_7(VAR_V_178))
=> pred_attacker(VAR_V_178) ) ).
fof(ax124,axiom,
! [VAR_V_181] :
( pred_attacker(VAR_V_181)
=> pred_attacker(tuple_client_A_out_5(VAR_V_181)) ) ).
fof(ax125,axiom,
! [VAR_V_184] :
( pred_attacker(tuple_client_A_out_5(VAR_V_184))
=> pred_attacker(VAR_V_184) ) ).
fof(ax126,axiom,
! [VAR_V_187] :
( pred_attacker(VAR_V_187)
=> pred_attacker(tuple_client_A_out_3(VAR_V_187)) ) ).
fof(ax127,axiom,
! [VAR_V_190X30] :
( pred_attacker(tuple_client_A_out_3(VAR_V_190X30))
=> pred_attacker(VAR_V_190X30) ) ).
fof(ax128,axiom,
! [VAR_V_193] :
( pred_attacker(VAR_V_193)
=> pred_attacker(tuple_client_A_out_10(VAR_V_193)) ) ).
fof(ax129,axiom,
! [VAR_V_196] :
( pred_attacker(tuple_client_A_out_10(VAR_V_196))
=> pred_attacker(VAR_V_196) ) ).
fof(ax130,axiom,
! [VAR_V_20X301,VAR_V_20X302,VAR_V_20X303] :
( ( pred_attacker(VAR_V_20X301)
& pred_attacker(VAR_V_20X302)
& pred_attacker(VAR_V_20X303) )
=> pred_attacker(tuple_client_A_out_1(VAR_V_20X301,VAR_V_20X302,VAR_V_20X303)) ) ).
fof(ax131,axiom,
! [VAR_V_216,VAR_V_217,VAR_V_218] :
( pred_attacker(tuple_client_A_out_1(VAR_V_216,VAR_V_217,VAR_V_218))
=> pred_attacker(VAR_V_216) ) ).
fof(ax132,axiom,
! [VAR_V_220X30,VAR_V_221,VAR_V_222] :
( pred_attacker(tuple_client_A_out_1(VAR_V_220X30,VAR_V_221,VAR_V_222))
=> pred_attacker(VAR_V_221) ) ).
fof(ax133,axiom,
! [VAR_V_224,VAR_V_225,VAR_V_226] :
( pred_attacker(tuple_client_A_out_1(VAR_V_224,VAR_V_225,VAR_V_226))
=> pred_attacker(VAR_V_226) ) ).
fof(ax134,axiom,
! [VAR_V_229] :
( pred_attacker(VAR_V_229)
=> pred_attacker(tuple_client_A_in_8(VAR_V_229)) ) ).
fof(ax135,axiom,
! [VAR_V_232] :
( pred_attacker(tuple_client_A_in_8(VAR_V_232))
=> pred_attacker(VAR_V_232) ) ).
fof(ax136,axiom,
! [VAR_V_235] :
( pred_attacker(VAR_V_235)
=> pred_attacker(tuple_client_A_in_6(VAR_V_235)) ) ).
fof(ax137,axiom,
! [VAR_V_238] :
( pred_attacker(tuple_client_A_in_6(VAR_V_238))
=> pred_attacker(VAR_V_238) ) ).
fof(ax138,axiom,
! [VAR_V_241] :
( pred_attacker(VAR_V_241)
=> pred_attacker(tuple_client_A_in_4(VAR_V_241)) ) ).
fof(ax139,axiom,
! [VAR_V_244] :
( pred_attacker(tuple_client_A_in_4(VAR_V_244))
=> pred_attacker(VAR_V_244) ) ).
fof(ax140,axiom,
! [VAR_V_247] :
( pred_attacker(VAR_V_247)
=> pred_attacker(tuple_client_A_in_2(VAR_V_247)) ) ).
fof(ax141,axiom,
! [VAR_V_250X30] :
( pred_attacker(tuple_client_A_in_2(VAR_V_250X30))
=> pred_attacker(VAR_V_250X30) ) ).
fof(ax142,axiom,
! [VAR_V_257,VAR_V_258,VAR_V_259,VAR_V_260X30,VAR_V_261] :
( ( pred_attacker(VAR_V_257)
& pred_attacker(VAR_V_258)
& pred_attacker(VAR_V_259)
& pred_attacker(VAR_V_260X30)
& pred_attacker(VAR_V_261) )
=> pred_attacker(constr_cbc_enc_4(VAR_V_257,VAR_V_258,VAR_V_259,VAR_V_260X30,VAR_V_261)) ) ).
fof(ax143,axiom,
! [VAR_V_266,VAR_V_267,VAR_V_268,VAR_V_269] :
( ( pred_attacker(VAR_V_266)
& pred_attacker(VAR_V_267)
& pred_attacker(VAR_V_268)
& pred_attacker(VAR_V_269) )
=> pred_attacker(constr_cbc_enc_3(VAR_V_266,VAR_V_267,VAR_V_268,VAR_V_269)) ) ).
fof(ax144,axiom,
! [VAR_V_273,VAR_V_274,VAR_V_275] :
( ( pred_attacker(VAR_V_273)
& pred_attacker(VAR_V_274)
& pred_attacker(VAR_V_275) )
=> pred_attacker(constr_cbc_enc_2(VAR_V_273,VAR_V_274,VAR_V_275)) ) ).
fof(ax145,axiom,
! [VAR_V_278,VAR_V_279] :
( ( pred_attacker(VAR_V_278)
& pred_attacker(VAR_V_279) )
=> pred_attacker(constr_cbc_enc_1(VAR_V_278,VAR_V_279)) ) ).
fof(ax146,axiom,
! [VAR_V_282,VAR_V_283] :
( ( pred_attacker(VAR_V_282)
& pred_attacker(VAR_V_283) )
=> pred_attacker(constr_cbc_dec_4(VAR_V_282,VAR_V_283)) ) ).
fof(ax147,axiom,
! [VAR_V_286,VAR_V_287] :
( ( pred_attacker(VAR_V_286)
& pred_attacker(VAR_V_287) )
=> pred_attacker(constr_cbc_dec_3(VAR_V_286,VAR_V_287)) ) ).
fof(ax148,axiom,
! [VAR_V_290X30,VAR_V_291] :
( ( pred_attacker(VAR_V_290X30)
& pred_attacker(VAR_V_291) )
=> pred_attacker(constr_cbc_dec_2(VAR_V_290X30,VAR_V_291)) ) ).
fof(ax149,axiom,
! [VAR_V_294,VAR_V_295] :
( ( pred_attacker(VAR_V_294)
& pred_attacker(VAR_V_295) )
=> pred_attacker(constr_cbc_dec_1(VAR_V_294,VAR_V_295)) ) ).
fof(ax150,axiom,
! [VAR_V_297] :
( pred_attacker(VAR_V_297)
=> pred_attacker(constr_cbc_4_get_3_prefixes(VAR_V_297)) ) ).
fof(ax151,axiom,
! [VAR_V_299] :
( pred_attacker(VAR_V_299)
=> pred_attacker(constr_cbc_4_get_2_prefixes(VAR_V_299)) ) ).
fof(ax152,axiom,
! [VAR_V_30X301] :
( pred_attacker(VAR_V_30X301)
=> pred_attacker(constr_cbc_4_get_1_prefixes(VAR_V_30X301)) ) ).
fof(ax153,axiom,
! [VAR_V_30X303] :
( pred_attacker(VAR_V_30X303)
=> pred_attacker(constr_cbc_3_get_2_prefixes(VAR_V_30X303)) ) ).
fof(ax154,axiom,
! [VAR_V_30X305] :
( pred_attacker(VAR_V_30X305)
=> pred_attacker(constr_cbc_3_get_1_prefixes(VAR_V_30X305)) ) ).
fof(ax155,axiom,
! [VAR_V_30X307] :
( pred_attacker(VAR_V_30X307)
=> pred_attacker(constr_cbc_2_get_1_prefixes(VAR_V_30X307)) ) ).
fof(ax156,axiom,
pred_attacker(constr_CONST_4) ).
fof(ax157,axiom,
pred_attacker(constr_CONST_3) ).
fof(ax158,axiom,
pred_attacker(constr_CONST_2) ).
fof(ax159,axiom,
pred_attacker(constr_CONST_1) ).
fof(ax160,axiom,
pred_attacker(constr_CONST_0x30) ).
fof(ax161,axiom,
! [VAR_V_316,VAR_V_317,VAR_V_318,VAR_V_319] :
( ( pred_attacker(VAR_V_316)
& pred_attacker(VAR_V_317)
& pred_attacker(VAR_V_318)
& pred_attacker(VAR_V_319) )
=> pred_attacker(tuple_4(VAR_V_316,VAR_V_317,VAR_V_318,VAR_V_319)) ) ).
fof(ax162,axiom,
! [VAR_V_340X30,VAR_V_341,VAR_V_342,VAR_V_343] :
( pred_attacker(tuple_4(VAR_V_340X30,VAR_V_341,VAR_V_342,VAR_V_343))
=> pred_attacker(VAR_V_340X30) ) ).
fof(ax163,axiom,
! [VAR_V_345,VAR_V_346,VAR_V_347,VAR_V_348] :
( pred_attacker(tuple_4(VAR_V_345,VAR_V_346,VAR_V_347,VAR_V_348))
=> pred_attacker(VAR_V_346) ) ).
fof(ax164,axiom,
! [VAR_V_350X30,VAR_V_351,VAR_V_352,VAR_V_353] :
( pred_attacker(tuple_4(VAR_V_350X30,VAR_V_351,VAR_V_352,VAR_V_353))
=> pred_attacker(VAR_V_352) ) ).
fof(ax165,axiom,
! [VAR_V_355,VAR_V_356,VAR_V_357,VAR_V_358] :
( pred_attacker(tuple_4(VAR_V_355,VAR_V_356,VAR_V_357,VAR_V_358))
=> pred_attacker(VAR_V_358) ) ).
fof(ax166,axiom,
! [VAR_V_363,VAR_V_364,VAR_V_365] :
( ( pred_attacker(VAR_V_363)
& pred_attacker(VAR_V_364)
& pred_attacker(VAR_V_365) )
=> pred_attacker(tuple_3(VAR_V_363,VAR_V_364,VAR_V_365)) ) ).
fof(ax167,axiom,
! [VAR_V_378,VAR_V_379,VAR_V_380X30] :
( pred_attacker(tuple_3(VAR_V_378,VAR_V_379,VAR_V_380X30))
=> pred_attacker(VAR_V_378) ) ).
fof(ax168,axiom,
! [VAR_V_382,VAR_V_383,VAR_V_384] :
( pred_attacker(tuple_3(VAR_V_382,VAR_V_383,VAR_V_384))
=> pred_attacker(VAR_V_383) ) ).
fof(ax169,axiom,
! [VAR_V_386,VAR_V_387,VAR_V_388] :
( pred_attacker(tuple_3(VAR_V_386,VAR_V_387,VAR_V_388))
=> pred_attacker(VAR_V_388) ) ).
fof(ax170,axiom,
! [VAR_V_392,VAR_V_393] :
( ( pred_attacker(VAR_V_392)
& pred_attacker(VAR_V_393) )
=> pred_attacker(tuple_2(VAR_V_392,VAR_V_393)) ) ).
fof(ax171,axiom,
! [VAR_V_40X300X30,VAR_V_40X301] :
( pred_attacker(tuple_2(VAR_V_40X300X30,VAR_V_40X301))
=> pred_attacker(VAR_V_40X300X30) ) ).
fof(ax172,axiom,
! [VAR_V_40X303,VAR_V_40X304] :
( pred_attacker(tuple_2(VAR_V_40X303,VAR_V_40X304))
=> pred_attacker(VAR_V_40X304) ) ).
fof(ax173,axiom,
! [VAR_V_40X306,VAR_V_40X307] :
( ( pred_mess(VAR_V_40X307,VAR_V_40X306)
& pred_attacker(VAR_V_40X307) )
=> pred_attacker(VAR_V_40X306) ) ).
fof(ax174,axiom,
! [VAR_V_40X308,VAR_V_40X309] :
( ( pred_attacker(VAR_V_40X309)
& pred_attacker(VAR_V_40X308) )
=> pred_mess(VAR_V_40X309,VAR_V_40X308) ) ).
fof(ax175,axiom,
pred_attacker(name_c) ).
fof(ax176,axiom,
pred_attacker(name_I) ).
fof(ax177,axiom,
pred_attacker(name_B) ).
fof(ax178,axiom,
pred_attacker(name_A) ).
fof(ax179,axiom,
! [VAR_V_411] : pred_equal(VAR_V_411,VAR_V_411) ).
fof(ax180,axiom,
! [VAR_V_412] : pred_attacker(name_new0x2Dname(VAR_V_412)) ).
fof(ax181,axiom,
! [VAR_0X40SID_426] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(VAR_0X40SID_426))) ).
fof(ax182,axiom,
! [VAR_0X40SID_497,VAR_ENC_NA_B_ENC_KAB_A_496] :
( ( pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_496,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_497),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_496,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_496)) )
=> pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_496,name_Kas)))) ) ).
fof(ax183,axiom,
! [VAR_0X40SID_529,VAR_ENC_NA_B_ENC_KAB_A_528,VAR_ENC_NB_527] :
( ( pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_527))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_528,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_529),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_528,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_528)) )
=> pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(VAR_ENC_NB_527,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_528,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_528,name_Kas))))) ) ).
fof(ax184,axiom,
! [VAR_0X40SID_578,VAR_ENC_KAB_A0X27_575,VAR_ENC_NA_B_ENC_KAB_A_577,VAR_ENC_NB_576] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_575,name_Kas)))
& pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_575))
& pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_576))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_577,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_578),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_577,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_577)) )
=> pred_attacker(tuple_client_A_out_7(constr_cbc_enc_1(name_Na0x27(VAR_ENC_NB_576,VAR_ENC_NA_B_ENC_KAB_A_577,VAR_0X40SID_578),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_575,name_Kas))))) ) ).
fof(ax185,axiom,
! [VAR_0X40SID_60X304,VAR_ENC_KAB_A0X27_60X306,VAR_ENC_NA_B_ENC_KAB_A_60X303,VAR_ENC_NB_60X302,VAR_ENC_SUCC_NA0X27_60X305] :
( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_60X302,VAR_ENC_NA_B_ENC_KAB_A_60X303,VAR_0X40SID_60X304)),constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_60X305,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X306,name_Kas))))
& pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_60X305))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X306,name_Kas)))
& pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X306))
& pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_60X302))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_60X303,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_60X304),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_60X303,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_60X303)) )
=> pred_attacker(tuple_client_A_out_9(name_objective1)) ) ).
fof(ax186,axiom,
! [VAR_0X40SID_622,VAR_ENC_KAB_A0X27_624,VAR_ENC_NA_B_ENC_KAB_A_621,VAR_ENC_NB_620X30,VAR_ENC_SUCC_NA0X27_623] :
( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_620X30,VAR_ENC_NA_B_ENC_KAB_A_621,VAR_0X40SID_622)),constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_623,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_624,name_Kas))))
& pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_623))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_624,name_Kas)))
& pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_624))
& pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_620X30))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_621,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_622),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_621,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_621)) )
=> pred_attacker(tuple_client_A_out_10(constr_enc(name_objective2,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_624,name_Kas))))) ) ).
fof(ax187,axiom,
! [VAR_0X40SID_688,VAR_ENC_KAB_A_687] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A_687,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_KAB_A_687)) )
=> pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(VAR_0X40SID_688),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A_687,name_Kbs))))) ) ).
fof(ax188,axiom,
! [VAR_0X40SID_758,VAR_A_755,VAR_B_756,VAR_NA_757] :
( pred_attacker(tuple_server_S_in_1(VAR_A_755,VAR_B_756,VAR_NA_757))
=> pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(VAR_NA_757,VAR_B_756,name_Kab_66(VAR_0X40SID_758),constr_cbc_enc_2(name_Kab_66(VAR_0X40SID_758),VAR_A_755,name_Kbs),name_Kas))) ) ).
fof(co0,conjecture,
pred_attacker(tuple_2(name_objective1,name_objective2)) ).
%--------------------------------------------------------------------------