TSTP Solution File: SWW968+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWW968+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:25:35 EDT 2023

% Result   : Theorem 5.80s 2.30s
% Output   : Refutation 6.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  253
% Syntax   : Number of formulae    :  444 ( 222 unt;  64 typ;   0 def)
%            Number of atoms       :  644 ( 190 equ;   0 cnn)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives : 1669 ( 158   ~;   0   |; 106   &;1247   @)
%                                         (   0 <=>; 158  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   79 (  79   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  64 usr;  16 con; 0-5 aty)
%            Number of variables   :  446 (   0   ^; 446   !;   0   ?; 446   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pred_attacker_type,type,
    pred_attacker: $i > $o ).

thf(tuple_2_type,type,
    tuple_2: $i > $i > $i ).

thf(name_objective1_type,type,
    name_objective1: $i ).

thf(name_objective2_type,type,
    name_objective2: $i ).

thf(name_Kbs_type,type,
    name_Kbs: $i ).

thf(name_c_type,type,
    name_c: $i ).

thf(constr_CONST_2_type,type,
    constr_CONST_2: $i ).

thf(name_A_type,type,
    name_A: $i ).

thf(constr_CONST_1_type,type,
    constr_CONST_1: $i ).

thf(name_B_type,type,
    name_B: $i ).

thf(constr_CONST_3_type,type,
    constr_CONST_3: $i ).

thf(constr_tuple_4_get_0x30_type,type,
    constr_tuple_4_get_0x30: $i > $i ).

thf(tuple_4_type,type,
    tuple_4: $i > $i > $i > $i > $i ).

thf(constr_tuple_4_get_2_bitstring_type,type,
    constr_tuple_4_get_2_bitstring: $i > $i ).

thf(name_I_type,type,
    name_I: $i ).

thf(constr_CONST_0x30_type,type,
    constr_CONST_0x30: $i ).

thf(name_Kas_type,type,
    name_Kas: $i ).

thf(constr_cbc_3_get_2_prefixes_type,type,
    constr_cbc_3_get_2_prefixes: $i > $i ).

thf(constr_cbc_enc_3_type,type,
    constr_cbc_enc_3: $i > $i > $i > $i > $i ).

thf(constr_cbc_enc_2_type,type,
    constr_cbc_enc_2: $i > $i > $i > $i ).

thf(constr_CONST_4_type,type,
    constr_CONST_4: $i ).

thf(constr_cbc_dec_1_type,type,
    constr_cbc_dec_1: $i > $i > $i ).

thf(constr_cbc_enc_1_type,type,
    constr_cbc_enc_1: $i > $i > $i ).

thf(constr_tuple_4_get_3_bitstring_type,type,
    constr_tuple_4_get_3_bitstring: $i > $i ).

thf(constr_cbc_dec_4_type,type,
    constr_cbc_dec_4: $i > $i > $i ).

thf(constr_cbc_enc_4_type,type,
    constr_cbc_enc_4: $i > $i > $i > $i > $i > $i ).

thf(constr_cbc_3_get_1_prefixes_type,type,
    constr_cbc_3_get_1_prefixes: $i > $i ).

thf(constr_cbc_4_get_3_prefixes_type,type,
    constr_cbc_4_get_3_prefixes: $i > $i ).

thf(constr_cbc_4_get_1_prefixes_type,type,
    constr_cbc_4_get_1_prefixes: $i > $i ).

thf(constr_cbc_2_get_1_prefixes_type,type,
    constr_cbc_2_get_1_prefixes: $i > $i ).

thf(pred_eq_bitstring_bitstring_type,type,
    pred_eq_bitstring_bitstring: $i > $i > $o ).

thf(constr_cbc_dec_3_type,type,
    constr_cbc_dec_3: $i > $i > $i ).

thf(tuple_3_type,type,
    tuple_3: $i > $i > $i > $i ).

thf(constr_tuple_4_get_1_type,type,
    constr_tuple_4_get_1: $i > $i ).

thf(constr_dec_type,type,
    constr_dec: $i > $i > $i ).

thf(constr_enc_type,type,
    constr_enc: $i > $i > $i ).

thf(constr_cbc_4_get_2_prefixes_type,type,
    constr_cbc_4_get_2_prefixes: $i > $i ).

thf(tuple_client_A_out_5_type,type,
    tuple_client_A_out_5: $i > $i ).

thf(constr_tuple_2_get_1_type,type,
    constr_tuple_2_get_1: $i > $i ).

thf(constr_cbc_dec_2_type,type,
    constr_cbc_dec_2: $i > $i > $i ).

thf(tuple_client_B_in_1_type,type,
    tuple_client_B_in_1: $i > $i ).

thf(tuple_client_B_out_2_type,type,
    tuple_client_B_out_2: $i > $i ).

thf(name_Nb_63_type,type,
    name_Nb_63: $i > $i ).

thf(constr_tuple_2_get_0x30_bitstring_type,type,
    constr_tuple_2_get_0x30_bitstring: $i > $i ).

thf(tuple_server_S_in_1_type,type,
    tuple_server_S_in_1: $i > $i > $i > $i ).

thf(tuple_server_S_out_2_type,type,
    tuple_server_S_out_2: $i > $i ).

thf(name_Kab_66_type,type,
    name_Kab_66: $i > $i ).

thf(tuple_succ_type,type,
    tuple_succ: $i > $i ).

thf(tuple_client_A_in_2_type,type,
    tuple_client_A_in_2: $i > $i ).

thf(tuple_client_A_out_1_type,type,
    tuple_client_A_out_1: $i > $i > $i > $i ).

thf(tuple_client_A_out_3_type,type,
    tuple_client_A_out_3: $i > $i ).

thf(tuple_client_A_in_8_type,type,
    tuple_client_A_in_8: $i > $i ).

thf(tuple_client_A_out_9_type,type,
    tuple_client_A_out_9: $i > $i ).

thf(tuple_client_A_in_4_type,type,
    tuple_client_A_in_4: $i > $i ).

thf(name_Na_type,type,
    name_Na: $i > $i ).

thf(tuple_client_A_out_10_type,type,
    tuple_client_A_out_10: $i > $i ).

thf(pred_mess_type,type,
    pred_mess: $i > $i > $o ).

thf(tuple_client_B_in_3_type,type,
    tuple_client_B_in_3: $i > $i ).

thf(name_Na0x27_type,type,
    name_Na0x27: $i > $i > $i > $i ).

thf(tuple_client_A_in_6_type,type,
    tuple_client_A_in_6: $i > $i ).

thf(tuple_false_type,type,
    tuple_false: $i ).

thf(tuple_client_A_out_7_type,type,
    tuple_client_A_out_7: $i > $i ).

thf(name_new0x2Dname_type,type,
    name_new0x2Dname: $i > $i ).

thf(tuple_true_type,type,
    tuple_true: $i ).

thf(61,axiom,
    constr_CONST_3 != name_Kas,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

thf(365,plain,
    constr_CONST_3 != name_Kas,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(107,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_3 @ A @ B @ C ) )
     => ( pred_attacker @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).

thf(479,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_3 @ A @ B @ C ) )
     => ( pred_attacker @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(55,axiom,
    name_A != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

thf(347,plain,
    name_A != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(17,axiom,
    constr_CONST_0x30 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

thf(234,plain,
    constr_CONST_0x30 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(141,axiom,
    pred_attacker @ name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax178) ).

thf(555,plain,
    pred_attacker @ name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).

thf(108,axiom,
    constr_CONST_4 != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

thf(481,plain,
    constr_CONST_4 != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(22,axiom,
    name_I != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

thf(249,plain,
    name_I != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(50,axiom,
    constr_CONST_3 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

thf(333,plain,
    constr_CONST_3 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(175,axiom,
    name_Kbs != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

thf(628,plain,
    name_Kbs != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).

thf(128,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_out_2 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).

thf(523,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_out_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).

thf(31,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( constr_cbc_dec_4 @ ( constr_cbc_enc_4 @ B @ C @ D @ E @ A ) @ A )
      = ( tuple_4 @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

thf(276,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( constr_cbc_dec_4 @ ( constr_cbc_enc_4 @ B @ C @ D @ E @ A ) @ A )
      = ( tuple_4 @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(91,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_enc @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).

thf(440,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_enc @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(132,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C )
        & ( pred_attacker @ D ) )
     => ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).

thf(533,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C )
        & ( pred_attacker @ D ) )
     => ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).

thf(139,axiom,
    constr_CONST_3 != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

thf(550,plain,
    constr_CONST_3 != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).

thf(117,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C )
        & ( pred_attacker @ D )
        & ( pred_attacker @ E ) )
     => ( pred_attacker @ ( constr_cbc_enc_4 @ A @ B @ C @ D @ E ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).

thf(500,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C )
        & ( pred_attacker @ D )
        & ( pred_attacker @ E ) )
     => ( pred_attacker @ ( constr_cbc_enc_4 @ A @ B @ C @ D @ E ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(81,axiom,
    pred_attacker @ constr_CONST_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax158) ).

thf(417,plain,
    pred_attacker @ constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(35,axiom,
    name_A != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

thf(288,plain,
    name_A != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(146,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C )
        & ( pred_attacker @ D ) )
     => ( pred_attacker @ ( constr_cbc_enc_3 @ A @ B @ C @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).

thf(565,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C )
        & ( pred_attacker @ D ) )
     => ( pred_attacker @ ( constr_cbc_enc_3 @ A @ B @ C @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).

thf(185,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).

thf(651,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).

thf(69,axiom,
    constr_CONST_3 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

thf(389,plain,
    constr_CONST_3 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(119,axiom,
    name_Kas != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

thf(504,plain,
    name_Kas != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).

thf(54,axiom,
    constr_CONST_0x30 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

thf(344,plain,
    constr_CONST_0x30 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(136,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_3_get_1_prefixes @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).

thf(542,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_3_get_1_prefixes @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).

thf(99,axiom,
    pred_attacker @ constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).

thf(460,plain,
    pred_attacker @ constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(143,axiom,
    pred_attacker @ tuple_false,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).

thf(559,plain,
    pred_attacker @ tuple_false,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).

thf(180,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_dec_3 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax147) ).

thf(638,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_dec_3 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).

thf(83,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_5 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).

thf(421,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_5 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(15,axiom,
    constr_CONST_0x30 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

thf(228,plain,
    constr_CONST_0x30 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_cbc_dec_1 @ ( constr_cbc_enc_1 @ B @ A ) @ A )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

thf(261,plain,
    ! [A: $i,B: $i] :
      ( ( constr_cbc_dec_1 @ ( constr_cbc_enc_1 @ B @ A ) @ A )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(11,axiom,
    constr_CONST_1 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

thf(216,plain,
    constr_CONST_1 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(114,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_4_get_0x30 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).

thf(492,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_4_get_0x30 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(46,axiom,
    constr_CONST_2 != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

thf(321,plain,
    constr_CONST_2 != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(173,axiom,
    name_B != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

thf(623,plain,
    name_B != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).

thf(183,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_4_get_1_prefixes @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).

thf(646,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_4_get_1_prefixes @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).

thf(110,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ ( tuple_client_A_in_4 @ C ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ B ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_cbc_enc_1 @ ( tuple_succ @ ( constr_cbc_dec_1 @ C @ ( constr_tuple_4_get_2_bitstring @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) ) ) @ ( constr_tuple_4_get_2_bitstring @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax183) ).

thf(485,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ ( tuple_client_A_in_4 @ C ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ B ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_cbc_enc_1 @ ( tuple_succ @ ( constr_cbc_dec_1 @ C @ ( constr_tuple_4_get_2_bitstring @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) ) ) @ ( constr_tuple_4_get_2_bitstring @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(123,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ B )
        & ( pred_attacker @ A ) )
     => ( pred_mess @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax174) ).

thf(514,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ B )
        & ( pred_attacker @ A ) )
     => ( pred_mess @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).

thf(57,axiom,
    constr_CONST_3 != constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

thf(353,plain,
    constr_CONST_3 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(163,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_3 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).

thf(602,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_3 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).

thf(178,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_2_get_1_prefixes @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).

thf(634,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_2_get_1_prefixes @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).

thf(189,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_3 @ A @ B @ C ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).

thf(660,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_3 @ A @ B @ C ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).

thf(20,axiom,
    name_B != name_Kas,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

thf(243,plain,
    name_B != name_Kas,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(86,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_2 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).

thf(428,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(120,axiom,
    constr_CONST_0x30 != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

thf(507,plain,
    constr_CONST_0x30 != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).

thf(43,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( constr_cbc_4_get_1_prefixes @ ( constr_cbc_enc_4 @ B @ C @ D @ E @ A ) )
      = ( constr_cbc_enc_1 @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

thf(312,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( constr_cbc_4_get_1_prefixes @ ( constr_cbc_enc_4 @ B @ C @ D @ E @ A ) )
      = ( constr_cbc_enc_1 @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(96,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).

thf(452,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_1 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(66,axiom,
    constr_CONST_2 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

thf(380,plain,
    constr_CONST_2 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(122,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_10 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).

thf(512,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_10 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(29,axiom,
    constr_CONST_4 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

thf(270,plain,
    constr_CONST_4 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(6,axiom,
    constr_CONST_2 != constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

thf(201,plain,
    constr_CONST_2 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(161,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B @ C ) )
     => ( pred_attacker @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).

thf(598,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B @ C ) )
     => ( pred_attacker @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).

thf(70,axiom,
    constr_CONST_3 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

thf(392,plain,
    constr_CONST_3 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(38,axiom,
    name_Kas != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

thf(297,plain,
    name_Kas != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(3,axiom,
    name_Kbs != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

thf(192,plain,
    name_Kbs != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(76,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ B @ C @ D ) )
     => ( pred_attacker @ ( tuple_server_S_out_2 @ ( constr_cbc_enc_4 @ D @ C @ ( name_Kab_66 @ A ) @ ( constr_cbc_enc_2 @ ( name_Kab_66 @ A ) @ B @ name_Kbs ) @ name_Kas ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax188) ).

thf(407,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ B @ C @ D ) )
     => ( pred_attacker @ ( tuple_server_S_out_2 @ ( constr_cbc_enc_4 @ D @ C @ ( name_Kab_66 @ A ) @ ( constr_cbc_enc_2 @ ( name_Kab_66 @ A ) @ B @ name_Kbs ) @ name_Kas ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(109,axiom,
    pred_attacker @ name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax175) ).

thf(484,plain,
    pred_attacker @ name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(23,axiom,
    constr_CONST_1 != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

thf(252,plain,
    constr_CONST_1 != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(89,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( constr_cbc_dec_2 @ ( constr_cbc_enc_2 @ B @ C @ A ) @ A )
      = ( tuple_2 @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

thf(435,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( constr_cbc_dec_2 @ ( constr_cbc_enc_2 @ B @ C @ A ) @ A )
      = ( tuple_2 @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(155,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B @ C ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).

thf(583,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B @ C ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).

thf(100,axiom,
    name_B != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

thf(461,plain,
    name_B != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(47,axiom,
    constr_CONST_0x30 != name_Kas,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

thf(324,plain,
    constr_CONST_0x30 != name_Kas,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(34,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_cbc_3_get_1_prefixes @ ( constr_cbc_enc_3 @ B @ C @ D @ A ) )
      = ( constr_cbc_enc_1 @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

thf(285,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_cbc_3_get_1_prefixes @ ( constr_cbc_enc_3 @ B @ C @ D @ A ) )
      = ( constr_cbc_enc_1 @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(126,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_8 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).

thf(519,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_8 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).

thf(169,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_4_get_2_prefixes @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).

thf(615,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_4_get_2_prefixes @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).

thf(74,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ B @ name_Kbs ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_1 @ B ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_2 @ ( constr_cbc_enc_1 @ ( name_Nb_63 @ A ) @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kbs ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax187) ).

thf(403,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ B @ name_Kbs ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_1 @ B ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_2 @ ( constr_cbc_enc_1 @ ( name_Nb_63 @ A ) @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kbs ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(58,axiom,
    constr_CONST_2 != name_Kas,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

thf(356,plain,
    constr_CONST_2 != name_Kas,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(104,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).

thf(471,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(112,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_4_get_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).

thf(488,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_4_get_1 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(14,axiom,
    constr_CONST_2 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

thf(225,plain,
    constr_CONST_2 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(134,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_server_S_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).

thf(537,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_server_S_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).

thf(106,axiom,
    constr_CONST_2 != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

thf(476,plain,
    constr_CONST_2 != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(158,axiom,
    ! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax180) ).

thf(590,plain,
    ! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).

thf(138,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ A @ B @ C ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).

thf(547,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ A @ B @ C ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).

thf(98,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ A @ B ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).

thf(457,plain,
    ! [A: $i,B: $i] :
      ( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ A @ B ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(148,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_6 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).

thf(569,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_6 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).

thf(63,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_dec @ ( constr_enc @ B @ A ) @ A )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

thf(371,plain,
    ! [A: $i,B: $i] :
      ( ( constr_dec @ ( constr_enc @ B @ A ) @ A )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(18,axiom,
    name_A != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

thf(237,plain,
    name_A != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(177,axiom,
    pred_attacker @ tuple_true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).

thf(633,plain,
    pred_attacker @ tuple_true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).

thf(188,axiom,
    name_c != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

thf(657,plain,
    name_c != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).

thf(72,axiom,
    name_I != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

thf(398,plain,
    name_I != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(131,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( tuple_succ @ ( name_Na0x27 @ D @ C @ A ) ) @ ( constr_cbc_dec_1 @ E @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_8 @ E ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_6 @ B ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ D ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax185) ).

thf(530,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( tuple_succ @ ( name_Na0x27 @ D @ C @ A ) ) @ ( constr_cbc_dec_1 @ E @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_8 @ E ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_6 @ B ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ D ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).

thf(156,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_enc_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).

thf(586,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_enc_1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).

thf(87,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ A @ B @ C ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).

thf(430,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ A @ B @ C ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(27,axiom,
    constr_CONST_0x30 != constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

thf(264,plain,
    constr_CONST_0x30 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(32,axiom,
    constr_CONST_1 != constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

thf(279,plain,
    constr_CONST_1 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(150,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_2 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax170) ).

thf(573,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_2 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).

thf(93,axiom,
    name_A != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

thf(444,plain,
    name_A != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(145,axiom,
    constr_CONST_2 != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

thf(562,plain,
    constr_CONST_2 != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).

thf(84,axiom,
    constr_CONST_0x30 != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

thf(423,plain,
    constr_CONST_0x30 != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(1,conjecture,
    pred_attacker @ ( tuple_2 @ name_objective1 @ name_objective2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

thf(2,negated_conjecture,
    ~ ( pred_attacker @ ( tuple_2 @ name_objective1 @ name_objective2 ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(191,plain,
    ~ ( pred_attacker @ ( tuple_2 @ name_objective1 @ name_objective2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(152,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_3 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).

thf(577,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).

thf(7,axiom,
    constr_CONST_3 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

thf(204,plain,
    constr_CONST_3 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(79,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_succ @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).

thf(413,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_succ @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(153,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_6 @ B ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ D ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_7 @ ( constr_cbc_enc_1 @ ( name_Na0x27 @ D @ C @ A ) @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax184) ).

thf(579,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_6 @ B ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ D ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_7 @ ( constr_cbc_enc_1 @ ( name_Na0x27 @ D @ C @ A ) @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).

thf(36,axiom,
    constr_CONST_1 != constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

thf(291,plain,
    constr_CONST_1 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(167,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_7 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).

thf(611,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_7 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).

thf(102,axiom,
    name_c != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

thf(466,plain,
    name_c != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(56,axiom,
    constr_CONST_1 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

thf(350,plain,
    constr_CONST_1 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(164,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_2 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).

thf(604,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_2 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).

thf(12,axiom,
    name_B != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

thf(219,plain,
    name_B != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(65,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( constr_cbc_4_get_2_prefixes @ ( constr_cbc_enc_4 @ B @ C @ D @ E @ A ) )
      = ( constr_cbc_enc_2 @ B @ C @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

thf(377,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( constr_cbc_4_get_2_prefixes @ ( constr_cbc_enc_4 @ B @ C @ D @ E @ A ) )
      = ( constr_cbc_enc_2 @ B @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(45,axiom,
    constr_CONST_4 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

thf(318,plain,
    constr_CONST_4 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(40,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( constr_cbc_4_get_3_prefixes @ ( constr_cbc_enc_4 @ B @ C @ D @ E @ A ) )
      = ( constr_cbc_enc_3 @ B @ C @ D @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

thf(303,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( constr_cbc_4_get_3_prefixes @ ( constr_cbc_enc_4 @ B @ C @ D @ E @ A ) )
      = ( constr_cbc_enc_3 @ B @ C @ D @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(60,axiom,
    constr_CONST_4 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

thf(362,plain,
    constr_CONST_4 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(147,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).

thf(567,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).

thf(115,axiom,
    constr_CONST_1 != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

thf(494,plain,
    constr_CONST_1 != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(176,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_4_get_3_prefixes @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax150) ).

thf(631,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_4_get_3_prefixes @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).

thf(133,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_3_get_2_prefixes @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax153) ).

thf(535,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_cbc_3_get_2_prefixes @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).

thf(166,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_4_get_2_bitstring @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).

thf(609,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_4_get_2_bitstring @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).

thf(10,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_tuple_4_get_2_bitstring @ ( tuple_4 @ A @ B @ C @ D ) )
      = C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

thf(213,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_tuple_4_get_2_bitstring @ ( tuple_4 @ A @ B @ C @ D ) )
      = C ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(172,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ A @ B @ C ) )
     => ( pred_attacker @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).

thf(621,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ A @ B @ C ) )
     => ( pred_attacker @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).

thf(19,axiom,
    name_A != name_Kas,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

thf(240,plain,
    name_A != name_Kas,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(174,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C ) )
     => ( pred_attacker @ ( constr_cbc_enc_2 @ A @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).

thf(626,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C ) )
     => ( pred_attacker @ ( constr_cbc_enc_2 @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).

thf(5,axiom,
    constr_CONST_1 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

thf(198,plain,
    constr_CONST_1 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(49,axiom,
    constr_CONST_4 != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

thf(330,plain,
    constr_CONST_4 != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(127,axiom,
    ! [A: $i] : ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_B @ ( name_Na @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax181) ).

thf(521,plain,
    ! [A: $i] : ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_B @ ( name_Na @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).

thf(179,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ B ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_tuple_4_get_3_bitstring @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax182) ).

thf(636,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ B ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_tuple_4_get_3_bitstring @ ( constr_cbc_dec_4 @ B @ name_Kas ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).

thf(41,axiom,
    name_B != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

thf(306,plain,
    name_B != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(28,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_tuple_4_get_3_bitstring @ ( tuple_4 @ A @ B @ C @ D ) )
      = D ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

thf(267,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_tuple_4_get_3_bitstring @ ( tuple_4 @ A @ B @ C @ D ) )
      = D ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(90,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C ) )
     => ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).

thf(438,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C ) )
     => ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(186,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_tuple_2_get_1 @ ( tuple_2 @ A @ B ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

thf(653,plain,
    ! [A: $i,B: $i] :
      ( ( constr_tuple_2_get_1 @ ( tuple_2 @ A @ B ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).

thf(113,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) )
     => ( pred_attacker @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).

thf(490,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) )
     => ( pred_attacker @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(85,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_dec_4 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax146) ).

thf(426,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_dec_4 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(190,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_4 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).

thf(663,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_4 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).

thf(64,axiom,
    name_B != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

thf(374,plain,
    name_B != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(24,axiom,
    constr_CONST_4 != name_Kas,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

thf(255,plain,
    constr_CONST_4 != name_Kas,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(140,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_dec_2 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).

thf(553,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_dec_2 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).

thf(184,axiom,
    name_Kbs != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).

thf(648,plain,
    name_Kbs != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).

thf(111,axiom,
    pred_attacker @ constr_CONST_0x30,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).

thf(487,plain,
    pred_attacker @ constr_CONST_0x30,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(170,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B @ C ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).

thf(617,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B @ C ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).

thf(124,axiom,
    pred_attacker @ constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).

thf(516,plain,
    pred_attacker @ constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).

thf(129,axiom,
    constr_CONST_1 != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

thf(525,plain,
    constr_CONST_1 != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).

thf(181,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( tuple_succ @ ( name_Na0x27 @ D @ C @ A ) ) @ ( constr_cbc_dec_1 @ E @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_8 @ E ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_6 @ B ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ D ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax186) ).

thf(640,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( tuple_succ @ ( name_Na0x27 @ D @ C @ A ) ) @ ( constr_cbc_dec_1 @ E @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_8 @ E ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_6 @ B ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ D ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ C @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ B @ name_Kas ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).

thf(33,axiom,
    constr_CONST_1 != constr_CONST_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

thf(282,plain,
    constr_CONST_1 != constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(48,axiom,
    constr_CONST_0x30 != constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

thf(327,plain,
    constr_CONST_0x30 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(77,axiom,
    pred_attacker @ name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax176) ).

thf(409,plain,
    pred_attacker @ name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(118,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_succ @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).

thf(502,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_succ @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).

thf(52,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_cbc_dec_3 @ ( constr_cbc_enc_3 @ B @ C @ D @ A ) @ A )
      = ( tuple_3 @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

thf(338,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_cbc_dec_3 @ ( constr_cbc_enc_3 @ B @ C @ D @ A ) @ A )
      = ( tuple_3 @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(59,axiom,
    constr_CONST_1 != name_Kas,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

thf(359,plain,
    constr_CONST_1 != name_Kas,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(182,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_3 @ A @ B @ C ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax168) ).

thf(643,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( pred_attacker @ ( tuple_3 @ A @ B @ C ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).

thf(137,axiom,
    name_I != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

thf(544,plain,
    name_I != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).

thf(51,axiom,
    ! [A: $i,B: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

thf(336,plain,
    ! [A: $i,B: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(187,axiom,
    pred_attacker @ constr_CONST_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).

thf(656,plain,
    pred_attacker @ constr_CONST_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).

thf(168,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_2 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax172) ).

thf(613,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_2 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).

thf(162,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C ) )
     => ( pred_attacker @ ( tuple_server_S_in_1 @ A @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).

thf(600,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C ) )
     => ( pred_attacker @ ( tuple_server_S_in_1 @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).

thf(68,axiom,
    constr_CONST_0x30 != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

thf(386,plain,
    constr_CONST_0x30 != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(149,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_4_get_3_bitstring @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).

thf(571,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_4_get_3_bitstring @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).

thf(160,axiom,
    constr_CONST_3 != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

thf(595,plain,
    constr_CONST_3 != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).

thf(116,axiom,
    name_objective1 != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

thf(497,plain,
    name_objective1 != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(16,axiom,
    name_Kas != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).

thf(231,plain,
    name_Kas != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(95,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_8 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).

thf(450,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_8 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(142,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax163) ).

thf(556,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).

thf(135,axiom,
    name_A != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

thf(539,plain,
    name_A != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).

thf(154,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_dec @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).

thf(581,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_dec @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).

thf(62,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_tuple_4_get_1 @ ( tuple_4 @ A @ B @ C @ D ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).

thf(368,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_tuple_4_get_1 @ ( tuple_4 @ A @ B @ C @ D ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(157,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_10 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).

thf(588,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_10 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).

thf(125,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_server_S_out_2 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).

thf(517,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_server_S_out_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).

thf(25,axiom,
    constr_CONST_0x30 != constr_CONST_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).

thf(258,plain,
    constr_CONST_0x30 != constr_CONST_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(73,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_5 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).

thf(401,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_5 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(82,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) )
     => ( pred_attacker @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).

thf(418,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( pred_attacker @ ( tuple_4 @ A @ B @ C @ D ) )
     => ( pred_attacker @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(21,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_cbc_3_get_2_prefixes @ ( constr_cbc_enc_3 @ B @ C @ D @ A ) )
      = ( constr_cbc_enc_2 @ B @ C @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

thf(246,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_cbc_3_get_2_prefixes @ ( constr_cbc_enc_3 @ B @ C @ D @ A ) )
      = ( constr_cbc_enc_2 @ B @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(8,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_tuple_4_get_0x30 @ ( tuple_4 @ A @ B @ C @ D ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

thf(207,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( constr_tuple_4_get_0x30 @ ( tuple_4 @ A @ B @ C @ D ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(67,axiom,
    constr_CONST_0x30 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

thf(383,plain,
    constr_CONST_0x30 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(88,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_2_get_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).

thf(433,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_2_get_1 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(121,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).

thf(510,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).

thf(39,axiom,
    name_I != name_Kas,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

thf(300,plain,
    name_I != name_Kas,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(171,axiom,
    pred_attacker @ name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax177) ).

thf(620,plain,
    pred_attacker @ name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).

thf(94,axiom,
    name_I != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

thf(447,plain,
    name_I != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(44,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( constr_cbc_2_get_1_prefixes @ ( constr_cbc_enc_2 @ B @ C @ A ) )
      = ( constr_cbc_enc_1 @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).

thf(315,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( constr_cbc_2_get_1_prefixes @ ( constr_cbc_enc_2 @ B @ C @ A ) )
      = ( constr_cbc_enc_1 @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(78,axiom,
    constr_CONST_4 != name_objective2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

thf(410,plain,
    constr_CONST_4 != name_objective2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(75,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_dec_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).

thf(405,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_cbc_dec_1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(30,axiom,
    constr_CONST_1 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

thf(273,plain,
    constr_CONST_1 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(9,axiom,
    constr_CONST_3 != name_Kbs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

thf(210,plain,
    constr_CONST_3 != name_Kbs,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(37,axiom,
    constr_CONST_4 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

thf(294,plain,
    constr_CONST_4 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(53,axiom,
    constr_CONST_2 != constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

thf(341,plain,
    constr_CONST_2 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(4,axiom,
    constr_CONST_2 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

thf(195,plain,
    constr_CONST_2 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(105,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_9 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).

thf(474,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_9 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(80,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_1 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).

thf(415,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_1 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(71,axiom,
    constr_CONST_2 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

thf(395,plain,
    constr_CONST_2 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(101,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C ) )
     => ( pred_attacker @ ( tuple_3 @ A @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).

thf(464,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B )
        & ( pred_attacker @ C ) )
     => ( pred_attacker @ ( tuple_3 @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(151,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_6 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).

thf(575,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_6 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).

thf(130,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_3 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).

thf(528,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).

thf(92,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_3 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax127) ).

thf(442,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_3 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(165,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_7 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).

thf(607,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_7 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).

thf(103,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_9 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).

thf(469,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_9 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(42,axiom,
    name_A != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

thf(309,plain,
    name_A != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(144,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_4 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).

thf(560,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_4 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).

thf(13,axiom,
    constr_CONST_0x30 != constr_CONST_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

thf(222,plain,
    constr_CONST_0x30 != constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(159,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_mess @ B @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax173) ).

thf(592,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_mess @ B @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).

thf(97,axiom,
    name_Kas != name_objective1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

thf(454,plain,
    name_Kas != name_objective1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(665,plain,
    $false,
    inference(e,[status(thm)],[365,479,347,234,555,481,249,333,628,523,276,440,533,550,500,417,288,565,651,389,504,344,542,460,559,638,421,228,261,216,492,321,623,646,485,514,353,602,634,660,243,428,507,312,452,380,512,270,201,598,392,297,192,407,484,252,435,583,461,324,285,519,615,403,356,471,488,225,537,476,590,547,457,569,371,237,633,657,398,530,586,430,264,279,573,444,562,423,191,577,204,413,579,291,611,466,350,604,219,377,318,303,362,567,494,631,535,609,213,621,240,626,198,330,521,636,306,267,438,653,490,426,663,374,255,553,648,487,617,516,525,640,282,327,409,502,338,359,643,544,336,656,613,600,386,571,595,497,231,450,556,539,581,368,588,517,258,401,418,246,207,383,433,510,300,620,447,315,410,405,273,210,294,341,195,474,415,395,464,575,528,442,607,469,309,560,222,592,454]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWW968+1 : TPTP v8.1.2. Released v7.4.0.
% 0.06/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 23:03:08 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.91/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.47/1.00  % [INFO] 	 Parsing done (170ms). 
% 1.47/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.82/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.82/1.21  % [INFO] 	 cvc4 registered as external prover. 
% 1.82/1.21  % [INFO] 	 Scanning for conjecture ... 
% 2.14/1.28  % [INFO] 	 Found a conjecture and 189 axioms. Running axiom selection ... 
% 2.36/1.35  % [INFO] 	 Axiom selection finished. Selected 188 axioms (removed 1 axioms). 
% 2.75/1.45  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.83/1.46  % [INFO] 	 Type checking passed. 
% 2.83/1.46  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 5.80/2.30  % External prover 'e' found a proof!
% 5.80/2.30  % [INFO] 	 Killing All external provers ... 
% 5.80/2.30  % Time passed: 1790ms (effective reasoning time: 1285ms)
% 5.80/2.30  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.80/2.30  % Axioms used in derivation (188): ax113, ax20, ax52, ax67, ax120, ax110, ax74, ax143, ax148, ax24, ax63, ax188, ax109, ax166, ax132, ax56, ax103, ax4, ax47, ax137, ax114, ax177, ax41, ax159, ax96, ax126, ax154, ax31, ax90, ax184, ax28, ax9, ax153, ax147, ax17, ax158, ax0, ax6, ax133, ax40, ax121, ax131, ax35, ax58, ax69, ax180, ax45, ax122, ax85, ax13, ax187, ax174, ax155, ax142, ax78, ax125, ax39, ax89, ax176, ax185, ax124, ax27, ax66, ax178, ax8, ax91, ax183, ax73, ax51, ax48, ax21, ax172, ax136, ax160, ax167, ax88, ax150, ax157, ax117, ax62, ax10, ax146, ax106, ax55, ax32, ax95, ax16, ax80, ax59, ax99, ax102, ax173, ax1, ax7, ax77, ax38, ax164, ax44, ax84, ax175, ax139, ax92, ax94, ax186, ax33, ax26, ax61, ax168, ax11, ax50, ax118, ax87, ax162, ax72, ax128, ax65, ax22, ax105, ax15, ax145, ax81, ax76, ax43, ax83, ax151, ax19, ax2, ax101, ax70, ax140, ax98, ax129, ax171, ax135, ax37, ax161, ax182, ax54, ax49, ax112, ax127, ax104, ax165, ax138, ax14, ax144, ax163, ax115, ax149, ax108, ax12, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax97, ax57, ax68, ax30, ax170, ax42, ax82, ax18, ax156, ax3, ax141, ax5, ax130, ax36, ax64, ax29, ax116, ax107, ax181, ax75, ax100, ax134, ax93, ax169, ax152, ax53, ax119, ax111, ax79, ax123
% 5.80/2.30  % No. of inferences in proof: 380
% 5.80/2.30  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1790 ms resp. 1285 ms w/o parsing
% 6.00/2.38  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.00/2.38  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------