TPTP Problem File: SWW967+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SWW967+1 : TPTP v8.2.0. Released v7.4.0.
% Domain : Software Verification
% Problem : Attack on a variant of Needham-Schroeder Symmetric Key Protocol
% Version : [LT19] axioms : Especial.
% English : Uses CBC. Attack demonstrates an impersonation attack.
% 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.p [LT20]
% Status : Theorem
% Rating : 0.42 v8.2.0, 0.39 v8.1.0, 0.36 v7.5.0, 0.44 v7.4.0
% Syntax : Number of formulae : 175 ( 99 unt; 0 def)
% Number of atoms : 297 ( 83 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 188 ( 66 ~; 0 |; 46 &)
% ( 0 <=>; 76 =>; 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 : 59 ( 59 usr; 14 con; 0-5 aty)
% Number of variables : 217 ( 217 !; 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_objective ).
fof(ax11,axiom,
constr_CONST_1 != constr_CONST_2 ).
fof(ax12,axiom,
constr_CONST_1 != constr_CONST_3 ).
fof(ax13,axiom,
constr_CONST_1 != constr_CONST_4 ).
fof(ax14,axiom,
constr_CONST_1 != name_A ).
fof(ax15,axiom,
constr_CONST_1 != name_B ).
fof(ax16,axiom,
constr_CONST_1 != name_I ).
fof(ax17,axiom,
constr_CONST_1 != name_Kas ).
fof(ax18,axiom,
constr_CONST_1 != name_Kbs ).
fof(ax19,axiom,
constr_CONST_1 != name_c ).
fof(ax20,axiom,
constr_CONST_1 != name_objective ).
fof(ax21,axiom,
constr_CONST_2 != constr_CONST_3 ).
fof(ax22,axiom,
constr_CONST_2 != constr_CONST_4 ).
fof(ax23,axiom,
constr_CONST_2 != name_A ).
fof(ax24,axiom,
constr_CONST_2 != name_B ).
fof(ax25,axiom,
constr_CONST_2 != name_I ).
fof(ax26,axiom,
constr_CONST_2 != name_Kas ).
fof(ax27,axiom,
constr_CONST_2 != name_Kbs ).
fof(ax28,axiom,
constr_CONST_2 != name_c ).
fof(ax29,axiom,
constr_CONST_2 != name_objective ).
fof(ax30,axiom,
constr_CONST_3 != constr_CONST_4 ).
fof(ax31,axiom,
constr_CONST_3 != name_A ).
fof(ax32,axiom,
constr_CONST_3 != name_B ).
fof(ax33,axiom,
constr_CONST_3 != name_I ).
fof(ax34,axiom,
constr_CONST_3 != name_Kas ).
fof(ax35,axiom,
constr_CONST_3 != name_Kbs ).
fof(ax36,axiom,
constr_CONST_3 != name_c ).
fof(ax37,axiom,
constr_CONST_3 != name_objective ).
fof(ax38,axiom,
constr_CONST_4 != name_A ).
fof(ax39,axiom,
constr_CONST_4 != name_B ).
fof(ax40,axiom,
constr_CONST_4 != name_I ).
fof(ax41,axiom,
constr_CONST_4 != name_Kas ).
fof(ax42,axiom,
constr_CONST_4 != name_Kbs ).
fof(ax43,axiom,
constr_CONST_4 != name_c ).
fof(ax44,axiom,
constr_CONST_4 != name_objective ).
fof(ax45,axiom,
name_A != name_B ).
fof(ax46,axiom,
name_A != name_I ).
fof(ax47,axiom,
name_A != name_Kas ).
fof(ax48,axiom,
name_A != name_Kbs ).
fof(ax49,axiom,
name_A != name_c ).
fof(ax50,axiom,
name_A != name_objective ).
fof(ax51,axiom,
name_B != name_I ).
fof(ax52,axiom,
name_B != name_Kas ).
fof(ax53,axiom,
name_B != name_Kbs ).
fof(ax54,axiom,
name_B != name_c ).
fof(ax55,axiom,
name_B != name_objective ).
fof(ax56,axiom,
name_I != name_Kas ).
fof(ax57,axiom,
name_I != name_Kbs ).
fof(ax58,axiom,
name_I != name_c ).
fof(ax59,axiom,
name_I != name_objective ).
fof(ax60,axiom,
name_Kas != name_Kbs ).
fof(ax61,axiom,
name_Kas != name_c ).
fof(ax62,axiom,
name_Kas != name_objective ).
fof(ax63,axiom,
name_Kbs != name_c ).
fof(ax64,axiom,
name_Kbs != name_objective ).
fof(ax65,axiom,
name_c != name_objective ).
fof(ax66,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(ax67,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(ax68,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(ax69,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(ax70,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(ax71,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(ax72,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(ax73,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(ax74,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(ax75,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(ax76,axiom,
! [VAR_K_0X30,VAR_M_0X30] : constr_dec(constr_enc(VAR_M_0X30,VAR_K_0X30),VAR_K_0X30) = VAR_M_0X30 ).
fof(ax77,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(ax78,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(ax79,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(ax80,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(ax81,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(ax82,axiom,
! [VAR_X0X30_0X30,VAR_X1_0X30] : constr_tuple_2_get_1(tuple_2(VAR_X0X30_0X30,VAR_X1_0X30)) = VAR_X1_0X30 ).
fof(ax83,axiom,
! [VAR_X_81,VAR_Y_82] : pred_eq_bitstring_bitstring(VAR_X_81,VAR_Y_82) ).
fof(ax84,axiom,
! [VAR_V_88] :
( pred_attacker(VAR_V_88)
=> pred_attacker(constr_tuple_4_get_3_bitstring(VAR_V_88)) ) ).
fof(ax85,axiom,
! [VAR_V_90X30] :
( pred_attacker(VAR_V_90X30)
=> pred_attacker(constr_tuple_4_get_2_bitstring(VAR_V_90X30)) ) ).
fof(ax86,axiom,
! [VAR_V_92] :
( pred_attacker(VAR_V_92)
=> pred_attacker(constr_tuple_4_get_1(VAR_V_92)) ) ).
fof(ax87,axiom,
! [VAR_V_94] :
( pred_attacker(VAR_V_94)
=> pred_attacker(constr_tuple_4_get_0x30(VAR_V_94)) ) ).
fof(ax88,axiom,
! [VAR_V_96] :
( pred_attacker(VAR_V_96)
=> pred_attacker(constr_tuple_2_get_1(VAR_V_96)) ) ).
fof(ax89,axiom,
! [VAR_V_98] :
( pred_attacker(VAR_V_98)
=> pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_98)) ) ).
fof(ax90,axiom,
pred_attacker(tuple_true) ).
fof(ax91,axiom,
! [VAR_V_10X300X30] :
( pred_attacker(VAR_V_10X300X30)
=> pred_attacker(tuple_succ(VAR_V_10X300X30)) ) ).
fof(ax92,axiom,
! [VAR_V_10X303] :
( pred_attacker(tuple_succ(VAR_V_10X303))
=> pred_attacker(VAR_V_10X303) ) ).
fof(ax93,axiom,
! [VAR_V_10X306] :
( pred_attacker(VAR_V_10X306)
=> pred_attacker(tuple_server_S_out_2(VAR_V_10X306)) ) ).
fof(ax94,axiom,
! [VAR_V_10X309] :
( pred_attacker(tuple_server_S_out_2(VAR_V_10X309))
=> pred_attacker(VAR_V_10X309) ) ).
fof(ax95,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(ax96,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(ax97,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(ax98,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(ax99,axiom,
pred_attacker(tuple_false) ).
fof(ax100,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(ax101,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(ax102,axiom,
! [VAR_V_151] :
( pred_attacker(VAR_V_151)
=> pred_attacker(tuple_client_B_out_2(VAR_V_151)) ) ).
fof(ax103,axiom,
! [VAR_V_154] :
( pred_attacker(tuple_client_B_out_2(VAR_V_154))
=> pred_attacker(VAR_V_154) ) ).
fof(ax104,axiom,
! [VAR_V_157] :
( pred_attacker(VAR_V_157)
=> pred_attacker(tuple_client_B_in_3(VAR_V_157)) ) ).
fof(ax105,axiom,
! [VAR_V_160X30] :
( pred_attacker(tuple_client_B_in_3(VAR_V_160X30))
=> pred_attacker(VAR_V_160X30) ) ).
fof(ax106,axiom,
! [VAR_V_163] :
( pred_attacker(VAR_V_163)
=> pred_attacker(tuple_client_B_in_1(VAR_V_163)) ) ).
fof(ax107,axiom,
! [VAR_V_166] :
( pred_attacker(tuple_client_B_in_1(VAR_V_166))
=> pred_attacker(VAR_V_166) ) ).
fof(ax108,axiom,
! [VAR_V_169] :
( pred_attacker(VAR_V_169)
=> pred_attacker(tuple_client_A_out_9(VAR_V_169)) ) ).
fof(ax109,axiom,
! [VAR_V_172] :
( pred_attacker(tuple_client_A_out_9(VAR_V_172))
=> pred_attacker(VAR_V_172) ) ).
fof(ax110,axiom,
! [VAR_V_175] :
( pred_attacker(VAR_V_175)
=> pred_attacker(tuple_client_A_out_7(VAR_V_175)) ) ).
fof(ax111,axiom,
! [VAR_V_178] :
( pred_attacker(tuple_client_A_out_7(VAR_V_178))
=> pred_attacker(VAR_V_178) ) ).
fof(ax112,axiom,
! [VAR_V_181] :
( pred_attacker(VAR_V_181)
=> pred_attacker(tuple_client_A_out_5(VAR_V_181)) ) ).
fof(ax113,axiom,
! [VAR_V_184] :
( pred_attacker(tuple_client_A_out_5(VAR_V_184))
=> pred_attacker(VAR_V_184) ) ).
fof(ax114,axiom,
! [VAR_V_187] :
( pred_attacker(VAR_V_187)
=> pred_attacker(tuple_client_A_out_3(VAR_V_187)) ) ).
fof(ax115,axiom,
! [VAR_V_190X30] :
( pred_attacker(tuple_client_A_out_3(VAR_V_190X30))
=> pred_attacker(VAR_V_190X30) ) ).
fof(ax116,axiom,
! [VAR_V_195,VAR_V_196,VAR_V_197] :
( ( pred_attacker(VAR_V_195)
& pred_attacker(VAR_V_196)
& pred_attacker(VAR_V_197) )
=> pred_attacker(tuple_client_A_out_1(VAR_V_195,VAR_V_196,VAR_V_197)) ) ).
fof(ax117,axiom,
! [VAR_V_210X30,VAR_V_211,VAR_V_212] :
( pred_attacker(tuple_client_A_out_1(VAR_V_210X30,VAR_V_211,VAR_V_212))
=> pred_attacker(VAR_V_210X30) ) ).
fof(ax118,axiom,
! [VAR_V_214,VAR_V_215,VAR_V_216] :
( pred_attacker(tuple_client_A_out_1(VAR_V_214,VAR_V_215,VAR_V_216))
=> pred_attacker(VAR_V_215) ) ).
fof(ax119,axiom,
! [VAR_V_218,VAR_V_219,VAR_V_220X30] :
( pred_attacker(tuple_client_A_out_1(VAR_V_218,VAR_V_219,VAR_V_220X30))
=> pred_attacker(VAR_V_220X30) ) ).
fof(ax120,axiom,
! [VAR_V_223] :
( pred_attacker(VAR_V_223)
=> pred_attacker(tuple_client_A_in_8(VAR_V_223)) ) ).
fof(ax121,axiom,
! [VAR_V_226] :
( pred_attacker(tuple_client_A_in_8(VAR_V_226))
=> pred_attacker(VAR_V_226) ) ).
fof(ax122,axiom,
! [VAR_V_229] :
( pred_attacker(VAR_V_229)
=> pred_attacker(tuple_client_A_in_6(VAR_V_229)) ) ).
fof(ax123,axiom,
! [VAR_V_232] :
( pred_attacker(tuple_client_A_in_6(VAR_V_232))
=> pred_attacker(VAR_V_232) ) ).
fof(ax124,axiom,
! [VAR_V_235] :
( pred_attacker(VAR_V_235)
=> pred_attacker(tuple_client_A_in_4(VAR_V_235)) ) ).
fof(ax125,axiom,
! [VAR_V_238] :
( pred_attacker(tuple_client_A_in_4(VAR_V_238))
=> pred_attacker(VAR_V_238) ) ).
fof(ax126,axiom,
! [VAR_V_241] :
( pred_attacker(VAR_V_241)
=> pred_attacker(tuple_client_A_in_2(VAR_V_241)) ) ).
fof(ax127,axiom,
! [VAR_V_244] :
( pred_attacker(tuple_client_A_in_2(VAR_V_244))
=> pred_attacker(VAR_V_244) ) ).
fof(ax128,axiom,
! [VAR_V_251,VAR_V_252,VAR_V_253,VAR_V_254,VAR_V_255] :
( ( pred_attacker(VAR_V_251)
& pred_attacker(VAR_V_252)
& pred_attacker(VAR_V_253)
& pred_attacker(VAR_V_254)
& pred_attacker(VAR_V_255) )
=> pred_attacker(constr_cbc_enc_4(VAR_V_251,VAR_V_252,VAR_V_253,VAR_V_254,VAR_V_255)) ) ).
fof(ax129,axiom,
! [VAR_V_260X30,VAR_V_261,VAR_V_262,VAR_V_263] :
( ( pred_attacker(VAR_V_260X30)
& pred_attacker(VAR_V_261)
& pred_attacker(VAR_V_262)
& pred_attacker(VAR_V_263) )
=> pred_attacker(constr_cbc_enc_3(VAR_V_260X30,VAR_V_261,VAR_V_262,VAR_V_263)) ) ).
fof(ax130,axiom,
! [VAR_V_267,VAR_V_268,VAR_V_269] :
( ( pred_attacker(VAR_V_267)
& pred_attacker(VAR_V_268)
& pred_attacker(VAR_V_269) )
=> pred_attacker(constr_cbc_enc_2(VAR_V_267,VAR_V_268,VAR_V_269)) ) ).
fof(ax131,axiom,
! [VAR_V_272,VAR_V_273] :
( ( pred_attacker(VAR_V_272)
& pred_attacker(VAR_V_273) )
=> pred_attacker(constr_cbc_enc_1(VAR_V_272,VAR_V_273)) ) ).
fof(ax132,axiom,
! [VAR_V_276,VAR_V_277] :
( ( pred_attacker(VAR_V_276)
& pred_attacker(VAR_V_277) )
=> pred_attacker(constr_cbc_dec_4(VAR_V_276,VAR_V_277)) ) ).
fof(ax133,axiom,
! [VAR_V_280X30,VAR_V_281] :
( ( pred_attacker(VAR_V_280X30)
& pred_attacker(VAR_V_281) )
=> pred_attacker(constr_cbc_dec_3(VAR_V_280X30,VAR_V_281)) ) ).
fof(ax134,axiom,
! [VAR_V_284,VAR_V_285] :
( ( pred_attacker(VAR_V_284)
& pred_attacker(VAR_V_285) )
=> pred_attacker(constr_cbc_dec_2(VAR_V_284,VAR_V_285)) ) ).
fof(ax135,axiom,
! [VAR_V_288,VAR_V_289] :
( ( pred_attacker(VAR_V_288)
& pred_attacker(VAR_V_289) )
=> pred_attacker(constr_cbc_dec_1(VAR_V_288,VAR_V_289)) ) ).
fof(ax136,axiom,
! [VAR_V_291] :
( pred_attacker(VAR_V_291)
=> pred_attacker(constr_cbc_4_get_3_prefixes(VAR_V_291)) ) ).
fof(ax137,axiom,
! [VAR_V_293] :
( pred_attacker(VAR_V_293)
=> pred_attacker(constr_cbc_4_get_2_prefixes(VAR_V_293)) ) ).
fof(ax138,axiom,
! [VAR_V_295] :
( pred_attacker(VAR_V_295)
=> pred_attacker(constr_cbc_4_get_1_prefixes(VAR_V_295)) ) ).
fof(ax139,axiom,
! [VAR_V_297] :
( pred_attacker(VAR_V_297)
=> pred_attacker(constr_cbc_3_get_2_prefixes(VAR_V_297)) ) ).
fof(ax140,axiom,
! [VAR_V_299] :
( pred_attacker(VAR_V_299)
=> pred_attacker(constr_cbc_3_get_1_prefixes(VAR_V_299)) ) ).
fof(ax141,axiom,
! [VAR_V_30X301] :
( pred_attacker(VAR_V_30X301)
=> pred_attacker(constr_cbc_2_get_1_prefixes(VAR_V_30X301)) ) ).
fof(ax142,axiom,
pred_attacker(constr_CONST_4) ).
fof(ax143,axiom,
pred_attacker(constr_CONST_3) ).
fof(ax144,axiom,
pred_attacker(constr_CONST_2) ).
fof(ax145,axiom,
pred_attacker(constr_CONST_1) ).
fof(ax146,axiom,
pred_attacker(constr_CONST_0x30) ).
fof(ax147,axiom,
! [VAR_V_310X30,VAR_V_311,VAR_V_312,VAR_V_313] :
( ( pred_attacker(VAR_V_310X30)
& pred_attacker(VAR_V_311)
& pred_attacker(VAR_V_312)
& pred_attacker(VAR_V_313) )
=> pred_attacker(tuple_4(VAR_V_310X30,VAR_V_311,VAR_V_312,VAR_V_313)) ) ).
fof(ax148,axiom,
! [VAR_V_334,VAR_V_335,VAR_V_336,VAR_V_337] :
( pred_attacker(tuple_4(VAR_V_334,VAR_V_335,VAR_V_336,VAR_V_337))
=> pred_attacker(VAR_V_334) ) ).
fof(ax149,axiom,
! [VAR_V_339,VAR_V_340X30,VAR_V_341,VAR_V_342] :
( pred_attacker(tuple_4(VAR_V_339,VAR_V_340X30,VAR_V_341,VAR_V_342))
=> pred_attacker(VAR_V_340X30) ) ).
fof(ax150,axiom,
! [VAR_V_344,VAR_V_345,VAR_V_346,VAR_V_347] :
( pred_attacker(tuple_4(VAR_V_344,VAR_V_345,VAR_V_346,VAR_V_347))
=> pred_attacker(VAR_V_346) ) ).
fof(ax151,axiom,
! [VAR_V_349,VAR_V_350X30,VAR_V_351,VAR_V_352] :
( pred_attacker(tuple_4(VAR_V_349,VAR_V_350X30,VAR_V_351,VAR_V_352))
=> pred_attacker(VAR_V_352) ) ).
fof(ax152,axiom,
! [VAR_V_357,VAR_V_358,VAR_V_359] :
( ( pred_attacker(VAR_V_357)
& pred_attacker(VAR_V_358)
& pred_attacker(VAR_V_359) )
=> pred_attacker(tuple_3(VAR_V_357,VAR_V_358,VAR_V_359)) ) ).
fof(ax153,axiom,
! [VAR_V_372,VAR_V_373,VAR_V_374] :
( pred_attacker(tuple_3(VAR_V_372,VAR_V_373,VAR_V_374))
=> pred_attacker(VAR_V_372) ) ).
fof(ax154,axiom,
! [VAR_V_376,VAR_V_377,VAR_V_378] :
( pred_attacker(tuple_3(VAR_V_376,VAR_V_377,VAR_V_378))
=> pred_attacker(VAR_V_377) ) ).
fof(ax155,axiom,
! [VAR_V_380X30,VAR_V_381,VAR_V_382] :
( pred_attacker(tuple_3(VAR_V_380X30,VAR_V_381,VAR_V_382))
=> pred_attacker(VAR_V_382) ) ).
fof(ax156,axiom,
! [VAR_V_386,VAR_V_387] :
( ( pred_attacker(VAR_V_386)
& pred_attacker(VAR_V_387) )
=> pred_attacker(tuple_2(VAR_V_386,VAR_V_387)) ) ).
fof(ax157,axiom,
! [VAR_V_394,VAR_V_395] :
( pred_attacker(tuple_2(VAR_V_394,VAR_V_395))
=> pred_attacker(VAR_V_394) ) ).
fof(ax158,axiom,
! [VAR_V_397,VAR_V_398] :
( pred_attacker(tuple_2(VAR_V_397,VAR_V_398))
=> pred_attacker(VAR_V_398) ) ).
fof(ax159,axiom,
! [VAR_V_40X300X30,VAR_V_40X301] :
( ( pred_mess(VAR_V_40X301,VAR_V_40X300X30)
& pred_attacker(VAR_V_40X301) )
=> pred_attacker(VAR_V_40X300X30) ) ).
fof(ax160,axiom,
! [VAR_V_40X302,VAR_V_40X303] :
( ( pred_attacker(VAR_V_40X303)
& pred_attacker(VAR_V_40X302) )
=> pred_mess(VAR_V_40X303,VAR_V_40X302) ) ).
fof(ax161,axiom,
pred_attacker(name_c) ).
fof(ax162,axiom,
pred_attacker(name_I) ).
fof(ax163,axiom,
pred_attacker(name_B) ).
fof(ax164,axiom,
pred_attacker(name_A) ).
fof(ax165,axiom,
! [VAR_V_40X305] : pred_equal(VAR_V_40X305,VAR_V_40X305) ).
fof(ax166,axiom,
! [VAR_V_40X306] : pred_attacker(name_new0x2Dname(VAR_V_40X306)) ).
fof(ax167,axiom,
! [VAR_0X40SID_420X30] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(VAR_0X40SID_420X30))) ).
fof(ax168,axiom,
! [VAR_0X40SID_491,VAR_ENC_NA_B_ENC_KAB_A_490X30] :
( ( pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_491),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_490X30)) )
=> pred_attacker(tuple_client_A_out_3(constr_tuple_4_get_3_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_490X30,name_Kas)))) ) ).
fof(ax169,axiom,
! [VAR_0X40SID_523,VAR_ENC_NA_B_ENC_KAB_A_522,VAR_ENC_NB_521] :
( ( pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_521))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_523),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_522)) )
=> pred_attacker(tuple_client_A_out_5(constr_cbc_enc_1(tuple_succ(constr_cbc_dec_1(VAR_ENC_NB_521,constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas)))),constr_tuple_4_get_2_bitstring(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_522,name_Kas))))) ) ).
fof(ax170,axiom,
! [VAR_0X40SID_572,VAR_ENC_KAB_A0X27_569,VAR_ENC_NA_B_ENC_KAB_A_571,VAR_ENC_NB_570X30] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_569,name_Kas)))
& pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_569))
& pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_570X30))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_571,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_572),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_571,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_571)) )
=> pred_attacker(tuple_client_A_out_7(constr_cbc_enc_1(name_Na0x27(VAR_ENC_NB_570X30,VAR_ENC_NA_B_ENC_KAB_A_571,VAR_0X40SID_572),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_569,name_Kas))))) ) ).
fof(ax171,axiom,
! [VAR_0X40SID_598,VAR_ENC_KAB_A0X27_60X300X30,VAR_ENC_NA_B_ENC_KAB_A_597,VAR_ENC_NB_596,VAR_ENC_SUCC_NA0X27_599] :
( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596,VAR_ENC_NA_B_ENC_KAB_A_597,VAR_0X40SID_598)),constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30,name_Kas))))
& pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30,name_Kas)))
& pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))
& pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))
& pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597,name_Kas)))
& pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598),constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597,name_Kas)))
& pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)) )
=> pred_attacker(tuple_client_A_out_9(name_objective)) ) ).
fof(ax172,axiom,
! [VAR_0X40SID_662,VAR_ENC_KAB_A_661] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A_661,name_Kbs)))
& pred_attacker(tuple_client_B_in_1(VAR_ENC_KAB_A_661)) )
=> pred_attacker(tuple_client_B_out_2(constr_cbc_enc_1(name_Nb_63(VAR_0X40SID_662),constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A_661,name_Kbs))))) ) ).
fof(ax173,axiom,
! [VAR_0X40SID_732,VAR_A_729,VAR_B_730X30,VAR_NA_731] :
( pred_attacker(tuple_server_S_in_1(VAR_A_729,VAR_B_730X30,VAR_NA_731))
=> pred_attacker(tuple_server_S_out_2(constr_cbc_enc_4(VAR_NA_731,VAR_B_730X30,name_Kab_66(VAR_0X40SID_732),constr_cbc_enc_2(name_Kab_66(VAR_0X40SID_732),VAR_A_729,name_Kbs),name_Kas))) ) ).
fof(co0,conjecture,
pred_attacker(name_objective) ).
%--------------------------------------------------------------------------