TPTP Problem File: SWW965+1.p

View Solutions - Solve Problem

%--------------------------------------------------------------------------
% File     : SWW965+1 : TPTP v9.0.0. 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

% 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.p [LT20]

% Status   : Theorem
% Rating   : 0.36 v9.0.0, 0.39 v8.2.0, 0.36 v8.1.0, 0.33 v7.5.0, 0.38 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   :  124 ( 124   !;   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 != 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_41,VAR_Y_42] : pred_eq_bitstring_bitstring(VAR_X_41,VAR_Y_42) ).

fof(ax104,axiom,
    ! [VAR_V_49,VAR_V_50X30] :
      ( ( pred_attacker(VAR_V_49)
        & pred_attacker(VAR_V_50X30) )
     => pred_attacker(constr_xor(VAR_V_49,VAR_V_50X30)) ) ).

fof(ax105,axiom,
    ! [VAR_V_52] :
      ( pred_attacker(VAR_V_52)
     => pred_attacker(constr_tuple_2_get_1_bitstring(VAR_V_52)) ) ).

fof(ax106,axiom,
    ! [VAR_V_54] :
      ( pred_attacker(VAR_V_54)
     => pred_attacker(constr_tuple_2_get_1(VAR_V_54)) ) ).

fof(ax107,axiom,
    ! [VAR_V_56] :
      ( pred_attacker(VAR_V_56)
     => pred_attacker(constr_tuple_2_get_0x30_bitstring(VAR_V_56)) ) ).

fof(ax108,axiom,
    ! [VAR_V_58] :
      ( pred_attacker(VAR_V_58)
     => pred_attacker(constr_tuple_2_get_0x30(VAR_V_58)) ) ).

fof(ax109,axiom,
    pred_attacker(tuple_true) ).

fof(ax110,axiom,
    ! [VAR_V_61,VAR_V_62] :
      ( ( pred_attacker(VAR_V_61)
        & pred_attacker(VAR_V_62) )
     => pred_attacker(constr_sign(VAR_V_61,VAR_V_62)) ) ).

fof(ax111,axiom,
    ! [VAR_V_64] :
      ( pred_attacker(VAR_V_64)
     => pred_attacker(constr_pkey(VAR_V_64)) ) ).

fof(ax112,axiom,
    ! [VAR_V_66] :
      ( pred_attacker(VAR_V_66)
     => pred_attacker(tuple_out_3(VAR_V_66)) ) ).

fof(ax113,axiom,
    ! [VAR_V_69] :
      ( pred_attacker(tuple_out_3(VAR_V_69))
     => pred_attacker(VAR_V_69) ) ).

fof(ax114,axiom,
    ! [VAR_V_72] :
      ( pred_attacker(VAR_V_72)
     => pred_attacker(tuple_out_2(VAR_V_72)) ) ).

fof(ax115,axiom,
    ! [VAR_V_75] :
      ( pred_attacker(tuple_out_2(VAR_V_75))
     => pred_attacker(VAR_V_75) ) ).

fof(ax116,axiom,
    ! [VAR_V_78] :
      ( pred_attacker(VAR_V_78)
     => pred_attacker(tuple_out_1(VAR_V_78)) ) ).

fof(ax117,axiom,
    ! [VAR_V_81] :
      ( pred_attacker(tuple_out_1(VAR_V_81))
     => pred_attacker(VAR_V_81) ) ).

fof(ax118,axiom,
    ! [VAR_V_85] :
      ( pred_attacker(VAR_V_85)
     => pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_85)) ) ).

fof(ax119,axiom,
    ! [VAR_V_88] :
      ( pred_attacker(tuple_key_retrieval_server_out_2(VAR_V_88))
     => pred_attacker(VAR_V_88) ) ).

fof(ax120,axiom,
    ! [VAR_V_92,VAR_V_93] :
      ( ( pred_attacker(VAR_V_92)
        & pred_attacker(VAR_V_93) )
     => pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_92,VAR_V_93)) ) ).

fof(ax121,axiom,
    ! [VAR_V_10X300X30,VAR_V_10X301] :
      ( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_10X300X30,VAR_V_10X301))
     => pred_attacker(VAR_V_10X300X30) ) ).

fof(ax122,axiom,
    ! [VAR_V_10X303,VAR_V_10X304] :
      ( pred_attacker(tuple_key_retrieval_server_in_1(VAR_V_10X303,VAR_V_10X304))
     => pred_attacker(VAR_V_10X304) ) ).

fof(ax123,axiom,
    ! [VAR_V_10X308,VAR_V_10X309] :
      ( ( pred_attacker(VAR_V_10X308)
        & pred_attacker(VAR_V_10X309) )
     => pred_attacker(tuple_key_register_server_in_1(VAR_V_10X308,VAR_V_10X309)) ) ).

fof(ax124,axiom,
    ! [VAR_V_116,VAR_V_117] :
      ( pred_attacker(tuple_key_register_server_in_1(VAR_V_116,VAR_V_117))
     => pred_attacker(VAR_V_116) ) ).

fof(ax125,axiom,
    ! [VAR_V_119,VAR_V_120X30] :
      ( pred_attacker(tuple_key_register_server_in_1(VAR_V_119,VAR_V_120X30))
     => pred_attacker(VAR_V_120X30) ) ).

fof(ax126,axiom,
    ! [VAR_V_123] :
      ( pred_attacker(VAR_V_123)
     => pred_attacker(constr_getmess(VAR_V_123)) ) ).

fof(ax127,axiom,
    pred_attacker(tuple_false) ).

fof(ax128,axiom,
    ! [VAR_V_126,VAR_V_127] :
      ( ( pred_attacker(VAR_V_126)
        & pred_attacker(VAR_V_127) )
     => pred_attacker(constr_enc(VAR_V_126,VAR_V_127)) ) ).

fof(ax129,axiom,
    ! [VAR_V_130X30,VAR_V_131] :
      ( ( pred_attacker(VAR_V_130X30)
        & pred_attacker(VAR_V_131) )
     => pred_attacker(constr_dec(VAR_V_130X30,VAR_V_131)) ) ).

fof(ax130,axiom,
    ! [VAR_V_133] :
      ( pred_attacker(VAR_V_133)
     => pred_attacker(tuple_client_B_out_6(VAR_V_133)) ) ).

fof(ax131,axiom,
    ! [VAR_V_136] :
      ( pred_attacker(tuple_client_B_out_6(VAR_V_136))
     => pred_attacker(VAR_V_136) ) ).

fof(ax132,axiom,
    ! [VAR_V_139] :
      ( pred_attacker(VAR_V_139)
     => pred_attacker(tuple_client_B_out_4(VAR_V_139)) ) ).

fof(ax133,axiom,
    ! [VAR_V_142] :
      ( pred_attacker(tuple_client_B_out_4(VAR_V_142))
     => pred_attacker(VAR_V_142) ) ).

fof(ax134,axiom,
    ! [VAR_V_146,VAR_V_147] :
      ( ( pred_attacker(VAR_V_146)
        & pred_attacker(VAR_V_147) )
     => pred_attacker(tuple_client_B_out_1(VAR_V_146,VAR_V_147)) ) ).

fof(ax135,axiom,
    ! [VAR_V_154,VAR_V_155] :
      ( pred_attacker(tuple_client_B_out_1(VAR_V_154,VAR_V_155))
     => pred_attacker(VAR_V_154) ) ).

fof(ax136,axiom,
    ! [VAR_V_157,VAR_V_158] :
      ( pred_attacker(tuple_client_B_out_1(VAR_V_157,VAR_V_158))
     => pred_attacker(VAR_V_158) ) ).

fof(ax137,axiom,
    ! [VAR_V_161] :
      ( pred_attacker(VAR_V_161)
     => pred_attacker(tuple_client_B_in_5(VAR_V_161)) ) ).

fof(ax138,axiom,
    ! [VAR_V_164] :
      ( pred_attacker(tuple_client_B_in_5(VAR_V_164))
     => pred_attacker(VAR_V_164) ) ).

fof(ax139,axiom,
    ! [VAR_V_167] :
      ( pred_attacker(VAR_V_167)
     => pred_attacker(tuple_client_B_in_3(VAR_V_167)) ) ).

fof(ax140,axiom,
    ! [VAR_V_170X30] :
      ( pred_attacker(tuple_client_B_in_3(VAR_V_170X30))
     => pred_attacker(VAR_V_170X30) ) ).

fof(ax141,axiom,
    ! [VAR_V_173] :
      ( pred_attacker(VAR_V_173)
     => pred_attacker(tuple_client_B_in_2(VAR_V_173)) ) ).

fof(ax142,axiom,
    ! [VAR_V_176] :
      ( pred_attacker(tuple_client_B_in_2(VAR_V_176))
     => pred_attacker(VAR_V_176) ) ).

fof(ax143,axiom,
    ! [VAR_V_179] :
      ( pred_attacker(VAR_V_179)
     => pred_attacker(tuple_client_A_out_5(VAR_V_179)) ) ).

fof(ax144,axiom,
    ! [VAR_V_182] :
      ( pred_attacker(tuple_client_A_out_5(VAR_V_182))
     => pred_attacker(VAR_V_182) ) ).

fof(ax145,axiom,
    ! [VAR_V_185] :
      ( pred_attacker(VAR_V_185)
     => pred_attacker(tuple_client_A_out_3(VAR_V_185)) ) ).

fof(ax146,axiom,
    ! [VAR_V_188] :
      ( pred_attacker(tuple_client_A_out_3(VAR_V_188))
     => pred_attacker(VAR_V_188) ) ).

fof(ax147,axiom,
    ! [VAR_V_192,VAR_V_193] :
      ( ( pred_attacker(VAR_V_192)
        & pred_attacker(VAR_V_193) )
     => pred_attacker(tuple_client_A_out_1(VAR_V_192,VAR_V_193)) ) ).

fof(ax148,axiom,
    ! [VAR_V_20X300X30,VAR_V_20X301] :
      ( pred_attacker(tuple_client_A_out_1(VAR_V_20X300X30,VAR_V_20X301))
     => pred_attacker(VAR_V_20X300X30) ) ).

fof(ax149,axiom,
    ! [VAR_V_20X303,VAR_V_20X304] :
      ( pred_attacker(tuple_client_A_out_1(VAR_V_20X303,VAR_V_20X304))
     => pred_attacker(VAR_V_20X304) ) ).

fof(ax150,axiom,
    ! [VAR_V_20X307] :
      ( pred_attacker(VAR_V_20X307)
     => pred_attacker(tuple_client_A_in_4(VAR_V_20X307)) ) ).

fof(ax151,axiom,
    ! [VAR_V_210X30] :
      ( pred_attacker(tuple_client_A_in_4(VAR_V_210X30))
     => pred_attacker(VAR_V_210X30) ) ).

fof(ax152,axiom,
    ! [VAR_V_213] :
      ( pred_attacker(VAR_V_213)
     => pred_attacker(tuple_client_A_in_2(VAR_V_213)) ) ).

fof(ax153,axiom,
    ! [VAR_V_216] :
      ( pred_attacker(tuple_client_A_in_2(VAR_V_216))
     => pred_attacker(VAR_V_216) ) ).

fof(ax154,axiom,
    ! [VAR_V_220X30,VAR_V_221] :
      ( ( pred_attacker(VAR_V_220X30)
        & pred_attacker(VAR_V_221) )
     => pred_attacker(constr_checksign(VAR_V_220X30,VAR_V_221)) ) ).

fof(ax155,axiom,
    ! [VAR_V_224,VAR_V_225] :
      ( ( pred_attacker(VAR_V_224)
        & pred_attacker(VAR_V_225) )
     => pred_attacker(constr_aenc(VAR_V_224,VAR_V_225)) ) ).

fof(ax156,axiom,
    ! [VAR_V_228,VAR_V_229] :
      ( ( pred_attacker(VAR_V_228)
        & pred_attacker(VAR_V_229) )
     => pred_attacker(constr_adec(VAR_V_228,VAR_V_229)) ) ).

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_236,VAR_V_237] :
      ( ( pred_attacker(VAR_V_236)
        & pred_attacker(VAR_V_237) )
     => pred_attacker(tuple_2(VAR_V_236,VAR_V_237)) ) ).

fof(ax164,axiom,
    ! [VAR_V_244,VAR_V_245] :
      ( pred_attacker(tuple_2(VAR_V_244,VAR_V_245))
     => pred_attacker(VAR_V_244) ) ).

fof(ax165,axiom,
    ! [VAR_V_247,VAR_V_248] :
      ( pred_attacker(tuple_2(VAR_V_247,VAR_V_248))
     => pred_attacker(VAR_V_248) ) ).

fof(ax166,axiom,
    ! [VAR_V_250X30,VAR_V_251] :
      ( ( pred_mess(VAR_V_251,VAR_V_250X30)
        & pred_attacker(VAR_V_251) )
     => pred_attacker(VAR_V_250X30) ) ).

fof(ax167,axiom,
    ! [VAR_V_252,VAR_V_253] :
      ( ( pred_attacker(VAR_V_253)
        & pred_attacker(VAR_V_252) )
     => pred_mess(VAR_V_253,VAR_V_252) ) ).

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_255] : pred_equal(VAR_V_255,VAR_V_255) ).

fof(ax173,axiom,
    ! [VAR_V_256] : pred_attacker(name_new0x2Dname(VAR_V_256)) ).

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_376,VAR_SIGN_I_PKI_375] :
      ( ( pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_375,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_375)) )
     => pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(VAR_0X40SID_376),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_375,constr_pkey(name_skS)))))) ) ).

fof(ax181,axiom,
    ! [VAR_0X40SID_435,VAR_AENC_NA_XOR_I_NI_434,VAR_SIGN_I_PKI_436] :
      ( ( pred_eq_bitstring_bitstring(name_I,constr_xor(constr_tuple_2_get_0x30_bitstring(constr_adec(VAR_AENC_NA_XOR_I_NI_434,name_skA)),name_Na(VAR_0X40SID_435)))
        & pred_attacker(tuple_client_A_in_4(VAR_AENC_NA_XOR_I_NI_434))
        & pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_I_PKI_436,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_A_in_2(VAR_SIGN_I_PKI_436)) )
     => pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(VAR_AENC_NA_XOR_I_NI_434,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_I_PKI_436,constr_pkey(name_skS)))))) ) ).

fof(ax182,axiom,
    pred_attacker(tuple_client_B_out_1(name_B,name_A)) ).

fof(ax183,axiom,
    ! [VAR_0X40SID_553,VAR_AENC_NA_A_551,VAR_SIGN_A_PKA_552] :
      ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_551,name_skB)))
        & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_551))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_552,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_552)) )
     => 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_551,name_skB)),name_B),name_Nb(VAR_0X40SID_553)),constr_tuple_2_get_1_bitstring(constr_checksign(VAR_SIGN_A_PKA_552,constr_pkey(name_skS)))))) ) ).

fof(ax184,axiom,
    ! [VAR_0X40SID_577,VAR_AENC_NA_A_579,VAR_AENC_NB_578,VAR_SIGN_A_PKA_580X30] :
      ( ( pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577),constr_adec(VAR_AENC_NB_578,name_skB))
        & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579,name_skB)))
        & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ) ).

fof(ax185,axiom,
    ! [VAR_DST_619,VAR_PKDST_620X30,VAR_SRC_621] :
      ( ( pred_table(tuple_keys(VAR_DST_619,VAR_PKDST_620X30))
        & pred_attacker(tuple_key_retrieval_server_in_1(VAR_SRC_621,VAR_DST_619)) )
     => pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(VAR_DST_619,VAR_PKDST_620X30),name_skS))) ) ).

fof(ax186,axiom,
    ! [VAR_HOST_673,VAR_PK_674] :
      ( ( VAR_HOST_673 != name_B
        & VAR_HOST_673 != name_A
        & pred_attacker(tuple_key_register_server_in_1(VAR_HOST_673,VAR_PK_674)) )
     => pred_table(tuple_keys(VAR_HOST_673,VAR_PK_674)) ) ).

fof(co0,conjecture,
    pred_attacker(name_objective) ).

%--------------------------------------------------------------------------