%--------------------------------------------------------------------------
% File     : SWW950+1 : TPTP v9.0.0. Released v7.4.0.
% Domain   : Software Verification
% Problem  : Attack on LD07 protocol
% Version  : [LT19] axioms : Especial.
% English  : Attack demonstrates violation of aliveness property of tag
%          : guaranteed to reader.

% 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    : LD07-tag-auth.p [LT20]

% Status   : Theorem
% Rating   : 0.36 v8.2.0, 0.39 v7.5.0, 0.41 v7.4.0
% Syntax   : Number of formulae    :   76 (  61 unt;   0 def)
%            Number of atoms       :   96 (  49 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   65 (  45   ~;   0   |;   5   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   0 prp; 1-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   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_c ).

fof(ax6,axiom,
    constr_CONST_0x30 != name_k0x30 ).

fof(ax7,axiom,
    constr_CONST_0x30 != name_ki ).

fof(ax8,axiom,
    constr_CONST_0x30 != name_objective ).

fof(ax9,axiom,
    constr_CONST_1 != constr_CONST_2 ).

fof(ax10,axiom,
    constr_CONST_1 != constr_CONST_3 ).

fof(ax11,axiom,
    constr_CONST_1 != constr_CONST_4 ).

fof(ax12,axiom,
    constr_CONST_1 != constr_ZERO ).

fof(ax13,axiom,
    constr_CONST_1 != name_c ).

fof(ax14,axiom,
    constr_CONST_1 != name_k0x30 ).

fof(ax15,axiom,
    constr_CONST_1 != name_ki ).

fof(ax16,axiom,
    constr_CONST_1 != name_objective ).

fof(ax17,axiom,
    constr_CONST_2 != constr_CONST_3 ).

fof(ax18,axiom,
    constr_CONST_2 != constr_CONST_4 ).

fof(ax19,axiom,
    constr_CONST_2 != constr_ZERO ).

fof(ax20,axiom,
    constr_CONST_2 != name_c ).

fof(ax21,axiom,
    constr_CONST_2 != name_k0x30 ).

fof(ax22,axiom,
    constr_CONST_2 != name_ki ).

fof(ax23,axiom,
    constr_CONST_2 != name_objective ).

fof(ax24,axiom,
    constr_CONST_3 != constr_CONST_4 ).

fof(ax25,axiom,
    constr_CONST_3 != constr_ZERO ).

fof(ax26,axiom,
    constr_CONST_3 != name_c ).

fof(ax27,axiom,
    constr_CONST_3 != name_k0x30 ).

fof(ax28,axiom,
    constr_CONST_3 != name_ki ).

fof(ax29,axiom,
    constr_CONST_3 != name_objective ).

fof(ax30,axiom,
    constr_CONST_4 != constr_ZERO ).

fof(ax31,axiom,
    constr_CONST_4 != name_c ).

fof(ax32,axiom,
    constr_CONST_4 != name_k0x30 ).

fof(ax33,axiom,
    constr_CONST_4 != name_ki ).

fof(ax34,axiom,
    constr_CONST_4 != name_objective ).

fof(ax35,axiom,
    constr_ZERO != name_c ).

fof(ax36,axiom,
    constr_ZERO != name_k0x30 ).

fof(ax37,axiom,
    constr_ZERO != name_ki ).

fof(ax38,axiom,
    constr_ZERO != name_objective ).

fof(ax39,axiom,
    name_c != name_k0x30 ).

fof(ax40,axiom,
    name_c != name_ki ).

fof(ax41,axiom,
    name_c != name_objective ).

fof(ax42,axiom,
    name_k0x30 != name_ki ).

fof(ax43,axiom,
    name_k0x30 != name_objective ).

fof(ax44,axiom,
    name_ki != name_objective ).

fof(ax45,axiom,
    ! [VAR_X_10X30] : constr_xor(VAR_X_10X30,VAR_X_10X30) = constr_ZERO ).

fof(ax46,axiom,
    ! [VAR_X_9] : constr_xor(VAR_X_9,constr_ZERO) = VAR_X_9 ).

fof(ax47,axiom,
    ! [VAR_X_7,VAR_Y_8] : constr_xor(VAR_X_7,VAR_Y_8) = constr_xor(VAR_Y_8,VAR_X_7) ).

fof(ax48,axiom,
    ! [VAR_X_0X30,VAR_Y_0X30,VAR_Z_0X30] : constr_xor(VAR_X_0X30,constr_xor(VAR_Y_0X30,VAR_Z_0X30)) = constr_xor(constr_xor(VAR_X_0X30,VAR_Y_0X30),VAR_Z_0X30) ).

fof(ax49,axiom,
    ! [VAR_V_29,VAR_V_30X30] :
      ( ( pred_attacker(VAR_V_29)
        & pred_attacker(VAR_V_30X30) )
     => pred_attacker(constr_xor(VAR_V_29,VAR_V_30X30)) ) ).

fof(ax50,axiom,
    pred_attacker(tuple_true) ).

fof(ax51,axiom,
    ! [VAR_V_33] :
      ( pred_attacker(VAR_V_33)
     => pred_attacker(constr_h(VAR_V_33)) ) ).

fof(ax52,axiom,
    pred_attacker(tuple_false) ).

fof(ax53,axiom,
    pred_attacker(constr_ZERO) ).

fof(ax54,axiom,
    ! [VAR_V_35] :
      ( pred_attacker(VAR_V_35)
     => pred_attacker(tuple_T_out_4(VAR_V_35)) ) ).

fof(ax55,axiom,
    ! [VAR_V_38] :
      ( pred_attacker(tuple_T_out_4(VAR_V_38))
     => pred_attacker(VAR_V_38) ) ).

fof(ax56,axiom,
    ! [VAR_V_41] :
      ( pred_attacker(VAR_V_41)
     => pred_attacker(tuple_T_out_2(VAR_V_41)) ) ).

fof(ax57,axiom,
    ! [VAR_V_44] :
      ( pred_attacker(tuple_T_out_2(VAR_V_44))
     => pred_attacker(VAR_V_44) ) ).

fof(ax58,axiom,
    ! [VAR_V_48,VAR_V_49] :
      ( ( pred_attacker(VAR_V_48)
        & pred_attacker(VAR_V_49) )
     => pred_attacker(tuple_T_in_3(VAR_V_48,VAR_V_49)) ) ).

fof(ax59,axiom,
    ! [VAR_V_56,VAR_V_57] :
      ( pred_attacker(tuple_T_in_3(VAR_V_56,VAR_V_57))
     => pred_attacker(VAR_V_56) ) ).

fof(ax60,axiom,
    ! [VAR_V_59,VAR_V_60X30] :
      ( pred_attacker(tuple_T_in_3(VAR_V_59,VAR_V_60X30))
     => pred_attacker(VAR_V_60X30) ) ).

fof(ax61,axiom,
    ! [VAR_V_63] :
      ( pred_attacker(VAR_V_63)
     => pred_attacker(tuple_T_in_1(VAR_V_63)) ) ).

fof(ax62,axiom,
    ! [VAR_V_66] :
      ( pred_attacker(tuple_T_in_1(VAR_V_66))
     => pred_attacker(VAR_V_66) ) ).

fof(ax63,axiom,
    pred_attacker(constr_CONST_4) ).

fof(ax64,axiom,
    pred_attacker(constr_CONST_3) ).

fof(ax65,axiom,
    pred_attacker(constr_CONST_2) ).

fof(ax66,axiom,
    pred_attacker(constr_CONST_1) ).

fof(ax67,axiom,
    pred_attacker(constr_CONST_0x30) ).

fof(ax68,axiom,
    ! [VAR_V_72,VAR_V_73] :
      ( ( pred_mess(VAR_V_73,VAR_V_72)
        & pred_attacker(VAR_V_73) )
     => pred_attacker(VAR_V_72) ) ).

fof(ax69,axiom,
    ! [VAR_V_74,VAR_V_75] :
      ( ( pred_attacker(VAR_V_75)
        & pred_attacker(VAR_V_74) )
     => pred_mess(VAR_V_75,VAR_V_74) ) ).

fof(ax70,axiom,
    pred_attacker(name_c) ).

fof(ax71,axiom,
    ! [VAR_V_77] : pred_equal(VAR_V_77,VAR_V_77) ).

fof(ax72,axiom,
    ! [VAR_V_78] : pred_attacker(name_new0x2Dname(VAR_V_78)) ).

fof(ax73,axiom,
    ! [VAR_R_10X308] :
      ( pred_attacker(tuple_T_in_1(VAR_R_10X308))
     => pred_attacker(tuple_T_out_2(constr_h(constr_xor(VAR_R_10X308,constr_xor(name_k0x30,name_ki))))) ) ).

fof(ax74,axiom,
    ! [VAR_A_143,VAR_R_144] :
      ( ( pred_attacker(tuple_T_in_3(VAR_A_143,constr_h(constr_xor(VAR_A_143,constr_xor(name_k0x30,name_ki)))))
        & pred_attacker(tuple_T_in_1(VAR_R_144)) )
     => pred_attacker(tuple_T_out_4(name_objective)) ) ).

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

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