TSTP Solution File: SWW961+1 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWW961+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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 12:25:33 EDT 2023

% Result   : Theorem 5.08s 2.27s
% Output   : Refutation 5.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  232
% Syntax   : Number of formulae    :  410 ( 222 unt;  56 typ;   0 def)
%            Number of atoms       :  546 ( 182 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives : 1207 ( 162   ~;   0   |;  60   &; 853   @)
%                                         (   0 <=>; 132  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   56 (  56   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   58 (  56 usr;  16 con; 0-2 aty)
%            Number of variables   :  258 (   0   ^; 258   !;   0   ?; 258   :)

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

thf(name_objective_type,type,
    name_objective: $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_tuple_2_get_0x30_type,type,
    constr_tuple_2_get_0x30: $i > $i ).

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

thf(tuple_assoc_pair_type,type,
    tuple_assoc_pair: $i > $i > $i ).

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

thf(pred_table_type,type,
    pred_table: $i > $o ).

thf(tuple_keys_type,type,
    tuple_keys: $i > $i > $i ).

thf(constr_pkey_type,type,
    constr_pkey: $i > $i ).

thf(name_skB_type,type,
    name_skB: $i ).

thf(name_skA_type,type,
    name_skA: $i ).

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

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

thf(name_skS_type,type,
    name_skS: $i ).

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

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

thf(constr_assoc_pair_2_get_0x30_type,type,
    constr_assoc_pair_2_get_0x30: $i > $i ).

thf(constr_adec_type,type,
    constr_adec: $i > $i > $i ).

thf(constr_aenc_type,type,
    constr_aenc: $i > $i > $i ).

thf(constr_assoc_pair_2_get_1_type,type,
    constr_assoc_pair_2_get_1: $i > $i ).

thf(constr_checksign_type,type,
    constr_checksign: $i > $i > $i ).

thf(constr_sign_type,type,
    constr_sign: $i > $i > $i ).

thf(constr_getmess_type,type,
    constr_getmess: $i > $i ).

thf(constr_tuple_2_get_1_bitstring_type,type,
    constr_tuple_2_get_1_bitstring: $i > $i ).

thf(constr_assoc_pair_2_get_1_bitstring_type,type,
    constr_assoc_pair_2_get_1_bitstring: $i > $i ).

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

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

thf(constr_assoc_pair_2_get_0x30_bitstring_type,type,
    constr_assoc_pair_2_get_0x30_bitstring: $i > $i ).

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

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

thf(tuple_out_3_type,type,
    tuple_out_3: $i > $i ).

thf(tuple_out_1_type,type,
    tuple_out_1: $i > $i ).

thf(tuple_key_retrieval_server_in_1_type,type,
    tuple_key_retrieval_server_in_1: $i > $i > $i ).

thf(tuple_client_B_out_6_type,type,
    tuple_client_B_out_6: $i > $i ).

thf(tuple_key_register_server_in_1_type,type,
    tuple_key_register_server_in_1: $i > $i > $i ).

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

thf(tuple_client_B_out_4_type,type,
    tuple_client_B_out_4: $i > $i ).

thf(tuple_key_retrieval_server_out_2_type,type,
    tuple_key_retrieval_server_out_2: $i > $i ).

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

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

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

thf(tuple_client_B_out_1_type,type,
    tuple_client_B_out_1: $i > $i > $i ).

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

thf(name_Nb_type,type,
    name_Nb: $i > $i ).

thf(tuple_client_B_in_5_type,type,
    tuple_client_B_in_5: $i > $i ).

thf(tuple_client_B_in_2_type,type,
    tuple_client_B_in_2: $i > $i ).

thf(tuple_out_2_type,type,
    tuple_out_2: $i > $i ).

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

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

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

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

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

thf(114,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).

thf(479,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(27,axiom,
    constr_CONST_0x30 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

thf(249,plain,
    constr_CONST_0x30 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(22,axiom,
    name_c != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

thf(234,plain,
    name_c != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(150,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_pkey @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

thf(555,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_pkey @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).

thf(115,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ A ) @ ( constr_adec @ C @ name_skB ) )
        & ( pred_attacker @ ( tuple_client_B_in_5 @ C ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ B @ name_skB ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_3 @ B ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ D @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_2 @ D ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax173) ).

thf(481,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ A ) @ ( constr_adec @ C @ name_skB ) )
        & ( pred_attacker @ ( tuple_client_B_in_5 @ C ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ B @ name_skB ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_3 @ B ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ D @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_2 @ D ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(62,axiom,
    constr_CONST_4 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

thf(352,plain,
    constr_CONST_4 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(81,axiom,
    constr_CONST_0x30 != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

thf(408,plain,
    constr_CONST_0x30 != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(36,axiom,
    constr_CONST_4 != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

thf(276,plain,
    constr_CONST_4 != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(100,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_3 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).

thf(449,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(129,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_4 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).

thf(511,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_4 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).

thf(171,axiom,
    pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).

thf(597,plain,
    pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).

thf(136,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_6 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).

thf(523,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_6 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).

thf(164,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_mess @ B @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).

thf(582,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_mess @ B @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).

thf(73,axiom,
    constr_CONST_4 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

thf(384,plain,
    constr_CONST_4 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(58,axiom,
    constr_CONST_1 != constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

thf(340,plain,
    constr_CONST_1 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(142,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_assoc_pair @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).

thf(538,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_assoc_pair @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ A @ B ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

thf(185,plain,
    ! [A: $i,B: $i] :
      ( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ A @ B ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(45,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_checksign @ ( constr_sign @ B @ A ) @ ( constr_pkey @ A ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

thf(301,plain,
    ! [A: $i,B: $i] :
      ( ( constr_checksign @ ( constr_sign @ B @ A ) @ ( constr_pkey @ A ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(156,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).

thf(565,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).

thf(69,axiom,
    name_B != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

thf(372,plain,
    name_B != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(126,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ B @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ B ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_assoc_pair @ ( name_Na @ A ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ B @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).

thf(504,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ B @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ B ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_assoc_pair @ ( name_Na @ A ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ B @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).

thf(166,axiom,
    constr_CONST_2 != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

thf(587,plain,
    constr_CONST_2 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).

thf(144,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

thf(542,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).

thf(106,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_2 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).

thf(460,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)],[106]) ).

thf(84,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_out_3 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).

thf(416,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_out_3 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(53,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_1_bitstring @ ( tuple_assoc_pair @ A @ B ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

thf(325,plain,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_1_bitstring @ ( tuple_assoc_pair @ A @ B ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(20,axiom,
    constr_CONST_3 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

thf(228,plain,
    constr_CONST_3 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(41,axiom,
    constr_CONST_1 != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

thf(289,plain,
    constr_CONST_1 != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(50,axiom,
    constr_CONST_1 != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

thf(316,plain,
    constr_CONST_1 != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(31,axiom,
    name_skB != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

thf(261,plain,
    name_skB != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(16,axiom,
    constr_CONST_0x30 != constr_CONST_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

thf(216,plain,
    constr_CONST_0x30 != constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(3,axiom,
    constr_CONST_2 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

thf(179,plain,
    constr_CONST_2 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(174,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_5 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).

thf(602,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_5 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).

thf(102,axiom,
    ! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).

thf(453,plain,
    ! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(77,axiom,
    constr_CONST_3 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

thf(396,plain,
    constr_CONST_3 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(82,axiom,
    constr_CONST_2 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

thf(411,plain,
    constr_CONST_2 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(25,axiom,
    name_B != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

thf(243,plain,
    name_B != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(90,axiom,
    pred_attacker @ constr_CONST_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax150) ).

thf(428,plain,
    pred_attacker @ constr_CONST_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(138,axiom,
    name_objective != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).

thf(527,plain,
    name_objective != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).

thf(47,axiom,
    name_I != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

thf(307,plain,
    name_I != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(42,axiom,
    constr_CONST_3 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

thf(292,plain,
    constr_CONST_3 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(96,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_out_4 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).

thf(439,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_out_4 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(34,axiom,
    constr_CONST_2 != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

thf(270,plain,
    constr_CONST_2 != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(11,axiom,
    constr_CONST_0x30 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

thf(201,plain,
    constr_CONST_0x30 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(72,axiom,
    name_A != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

thf(381,plain,
    name_A != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(56,axiom,
    constr_CONST_3 != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

thf(334,plain,
    constr_CONST_3 != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(61,axiom,
    constr_CONST_0x30 != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

thf(349,plain,
    constr_CONST_0x30 != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(172,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).

thf(598,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).

thf(88,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_adec @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax146) ).

thf(424,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_adec @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(91,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_out_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).

thf(429,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_out_1 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(116,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_2_get_0x30 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).

thf(484,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_tuple_2_get_0x30 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(28,axiom,
    name_A != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

thf(252,plain,
    name_A != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(65,axiom,
    constr_CONST_2 != constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

thf(361,plain,
    constr_CONST_2 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(94,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).

thf(435,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(135,axiom,
    pred_attacker @ name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).

thf(522,plain,
    pred_attacker @ name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).

thf(120,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_dec @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).

thf(493,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)],[120]) ).

thf(148,axiom,
    pred_attacker @ constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).

thf(551,plain,
    pred_attacker @ constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).

thf(162,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).

thf(578,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).

thf(6,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( tuple_assoc_pair @ A @ ( tuple_assoc_pair @ B @ C ) )
      = ( tuple_assoc_pair @ ( tuple_assoc_pair @ A @ B ) @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

thf(188,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( tuple_assoc_pair @ A @ ( tuple_assoc_pair @ B @ C ) )
      = ( tuple_assoc_pair @ ( tuple_assoc_pair @ A @ B ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(169,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_5 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).

thf(593,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_5 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).

thf(124,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_out_2 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).

thf(499,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_out_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).

thf(54,axiom,
    name_I != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

thf(328,plain,
    name_I != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(118,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_assoc_pair @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).

thf(488,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_assoc_pair @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).

thf(19,axiom,
    name_skA != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

thf(225,plain,
    name_skA != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(113,axiom,
    constr_CONST_3 != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

thf(476,plain,
    constr_CONST_3 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(167,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_assoc_pair_2_get_1 @ ( constr_assoc_pair_2_get_1_bitstring @ ( constr_adec @ B @ name_skA ) ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_assoc_pair_2_get_0x30 @ ( constr_adec @ B @ name_skA ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ B ) )
        & ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_assoc_pair_2_get_1_bitstring @ ( constr_adec @ B @ name_skA ) ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax170) ).

thf(590,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_assoc_pair_2_get_1 @ ( constr_assoc_pair_2_get_1_bitstring @ ( constr_adec @ B @ name_skA ) ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ A ) @ ( constr_assoc_pair_2_get_0x30 @ ( constr_adec @ B @ name_skA ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ B ) )
        & ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_assoc_pair_2_get_1_bitstring @ ( constr_adec @ B @ name_skA ) ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).

thf(146,axiom,
    pred_attacker @ name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).

thf(547,plain,
    pred_attacker @ name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).

thf(76,axiom,
    name_A != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

thf(393,plain,
    name_A != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(131,axiom,
    pred_attacker @ name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax158) ).

thf(515,plain,
    pred_attacker @ name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).

thf(104,axiom,
    pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax168) ).

thf(457,plain,
    pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(158,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).

thf(569,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).

thf(128,axiom,
    constr_CONST_4 != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

thf(508,plain,
    constr_CONST_4 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).

thf(152,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_2 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).

thf(558,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_2 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).

thf(139,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_out_1 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).

thf(530,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_out_1 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).

thf(59,axiom,
    constr_CONST_1 != constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

thf(343,plain,
    constr_CONST_1 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(23,axiom,
    constr_CONST_0x30 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

thf(237,plain,
    constr_CONST_0x30 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(44,axiom,
    name_I != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

thf(298,plain,
    name_I != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(130,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ B @ name_skB ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_3 @ B ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ B @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ A ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax172) ).

thf(513,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ B @ name_skB ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_3 @ B ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_2 @ C ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ B @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ A ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).

thf(32,axiom,
    name_I != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

thf(264,plain,
    name_I != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(37,axiom,
    constr_CONST_4 != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

thf(279,plain,
    constr_CONST_4 != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(160,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ B )
        & ( pred_attacker @ A ) )
     => ( pred_mess @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).

thf(573,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ B )
        & ( pred_attacker @ A ) )
     => ( pred_mess @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).

thf(98,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_table @ ( tuple_keys @ A @ B ) )
        & ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ C @ A ) ) )
     => ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ A @ B ) @ name_skS ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax174) ).

thf(444,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( pred_table @ ( tuple_keys @ A @ B ) )
        & ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ C @ A ) ) )
     => ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ A @ B ) @ name_skS ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(70,axiom,
    constr_CONST_1 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

thf(375,plain,
    constr_CONST_1 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(154,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_out_3 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

thf(562,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_out_3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).

thf(40,axiom,
    constr_CONST_0x30 != constr_CONST_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).

thf(286,plain,
    constr_CONST_0x30 != constr_CONST_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(12,axiom,
    constr_CONST_1 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

thf(204,plain,
    constr_CONST_1 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(7,axiom,
    constr_CONST_2 != constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

thf(191,plain,
    constr_CONST_2 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(79,axiom,
    constr_CONST_3 != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

thf(402,plain,
    constr_CONST_3 != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(49,axiom,
    name_skA != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

thf(313,plain,
    name_skA != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(109,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).

thf(466,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(143,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_5 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax127) ).

thf(540,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_5 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).

thf(175,axiom,
    name_A != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

thf(604,plain,
    name_A != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).

thf(17,axiom,
    constr_CONST_3 != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

thf(219,plain,
    constr_CONST_3 != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(86,axiom,
    name_I != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

thf(419,plain,
    name_I != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(101,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_3 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).

thf(451,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_3 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(157,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_enc @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).

thf(567,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)],[157]) ).

thf(74,axiom,
    constr_CONST_0x30 != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

thf(387,plain,
    constr_CONST_0x30 != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(141,axiom,
    constr_CONST_0x30 != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

thf(535,plain,
    constr_CONST_0x30 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).

thf(177,axiom,
    pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).

thf(609,plain,
    pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).

thf(15,axiom,
    constr_CONST_4 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

thf(213,plain,
    constr_CONST_4 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(134,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).

thf(520,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).

thf(24,axiom,
    name_B != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

thf(240,plain,
    name_B != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(10,axiom,
    constr_CONST_2 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

thf(198,plain,
    constr_CONST_2 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(107,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_sign @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

thf(462,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_sign @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(67,axiom,
    constr_CONST_2 != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

thf(367,plain,
    constr_CONST_2 != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(149,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A != name_B )
        & ( A != name_A )
        & ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) ) )
     => ( pred_table @ ( tuple_keys @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax175) ).

thf(552,plain,
    ! [A: $i,B: $i] :
      ( ( ( A != name_B )
        & ( A != name_A )
        & ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) ) )
     => ( pred_table @ ( tuple_keys @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).

thf(78,axiom,
    constr_CONST_2 != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

thf(399,plain,
    constr_CONST_2 != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(103,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).

thf(455,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(33,axiom,
    constr_CONST_3 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

thf(267,plain,
    constr_CONST_3 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(92,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_assoc_pair @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).

thf(431,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_assoc_pair @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(112,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).

thf(473,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(89,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_aenc @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).

thf(426,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_aenc @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(147,axiom,
    constr_CONST_1 != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

thf(548,plain,
    constr_CONST_1 != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).

thf(29,axiom,
    constr_CONST_4 != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

thf(255,plain,
    constr_CONST_4 != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(132,axiom,
    pred_attacker @ tuple_true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).

thf(516,plain,
    pred_attacker @ tuple_true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).

thf(63,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_0x30_bitstring @ ( tuple_assoc_pair @ A @ B ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

thf(355,plain,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_0x30_bitstring @ ( tuple_assoc_pair @ A @ B ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(105,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_2 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).

thf(458,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_in_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(8,axiom,
    pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).

thf(194,plain,
    pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(137,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).

thf(525,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).

thf(151,axiom,
    pred_attacker @ constr_CONST_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).

thf(557,plain,
    pred_attacker @ constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).

thf(163,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).

thf(580,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).

thf(43,axiom,
    constr_CONST_2 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

thf(295,plain,
    constr_CONST_2 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(38,axiom,
    pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax163) ).

thf(282,plain,
    pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(83,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_3 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).

thf(414,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_3 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(48,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_getmess @ ( constr_sign @ B @ A ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

thf(310,plain,
    ! [A: $i,B: $i] :
      ( ( constr_getmess @ ( constr_sign @ B @ A ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(4,axiom,
    constr_CONST_1 != name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

thf(182,plain,
    constr_CONST_1 != name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(55,axiom,
    name_A != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

thf(331,plain,
    name_A != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(97,axiom,
    name_c != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).

thf(441,plain,
    name_c != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(111,axiom,
    name_objective != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

thf(470,plain,
    name_objective != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(145,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_2 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax153) ).

thf(544,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_2 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).

thf(165,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_4 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).

thf(585,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_4 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).

thf(68,axiom,
    ! [A: $i,B: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

thf(370,plain,
    ! [A: $i,B: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(173,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_2 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).

thf(600,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_in_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).

thf(159,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_5 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).

thf(571,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_5 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).

thf(170,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_4 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).

thf(595,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_4 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).

thf(123,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).

thf(497,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ A @ B ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

thf(231,plain,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ A @ B ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(121,axiom,
    pred_attacker @ constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax147) ).

thf(495,plain,
    pred_attacker @ constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).

thf(133,axiom,
    name_objective != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

thf(517,plain,
    name_objective != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).

thf(51,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ A @ B ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).

thf(319,plain,
    ! [A: $i,B: $i] :
      ( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ A @ B ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(46,axiom,
    constr_CONST_0x30 != constr_CONST_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

thf(304,plain,
    constr_CONST_0x30 != constr_CONST_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(30,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_adec @ ( constr_aenc @ B @ ( constr_pkey @ A ) ) @ A )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

thf(258,plain,
    ! [A: $i,B: $i] :
      ( ( constr_adec @ ( constr_aenc @ B @ ( constr_pkey @ A ) ) @ A )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(75,axiom,
    constr_CONST_1 != constr_CONST_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

thf(390,plain,
    constr_CONST_1 != constr_CONST_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(85,axiom,
    pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).

thf(418,plain,
    pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(71,axiom,
    constr_CONST_3 != constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

thf(378,plain,
    constr_CONST_3 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(26,axiom,
    constr_CONST_0x30 != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

thf(246,plain,
    constr_CONST_0x30 != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(93,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_out_6 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).

thf(433,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_B_out_6 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(13,axiom,
    name_A != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

thf(207,plain,
    name_A != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(60,axiom,
    constr_CONST_4 != name_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

thf(346,plain,
    constr_CONST_4 != name_A,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(99,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).

thf(447,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(80,axiom,
    constr_CONST_1 != name_skB,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

thf(405,plain,
    constr_CONST_1 != name_skB,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(87,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).

thf(422,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) )
     => ( pred_attacker @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(35,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ A @ B ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

thf(273,plain,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ A @ B ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(155,axiom,
    pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).

thf(564,plain,
    pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).

thf(14,axiom,
    name_B != name_I,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

thf(210,plain,
    name_B != name_I,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(127,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_getmess @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).

thf(506,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( constr_getmess @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).

thf(64,axiom,
    constr_CONST_0x30 != constr_CONST_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

thf(358,plain,
    constr_CONST_0x30 != constr_CONST_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(9,axiom,
    name_B != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

thf(195,plain,
    name_B != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(95,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).

thf(437,plain,
    ! [A: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(140,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).

thf(532,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).

thf(39,axiom,
    name_A != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

thf(283,plain,
    name_A != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(108,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_checksign @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).

thf(464,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( constr_checksign @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(161,axiom,
    name_B != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

thf(575,plain,
    name_B != name_objective,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).

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

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

thf(178,plain,
    ~ ( pred_attacker @ name_objective ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(125,axiom,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).

thf(501,plain,
    ! [A: $i,B: $i] :
      ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) )
     => ( pred_attacker @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).

thf(176,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).

thf(607,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).

thf(52,axiom,
    constr_CONST_1 != name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

thf(322,plain,
    constr_CONST_1 != name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(117,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).

thf(486,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(57,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_dec @ ( constr_enc @ B @ A ) @ A )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

thf(337,plain,
    ! [A: $i,B: $i] :
      ( ( constr_dec @ ( constr_enc @ B @ A ) @ A )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(110,axiom,
    pred_attacker @ tuple_false,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).

thf(469,plain,
    pred_attacker @ tuple_false,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(153,axiom,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).

thf(560,plain,
    ! [A: $i,B: $i] :
      ( ( ( pred_attacker @ A )
        & ( pred_attacker @ B ) )
     => ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).

thf(119,axiom,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_3 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).

thf(491,plain,
    ! [A: $i] :
      ( ( pred_attacker @ A )
     => ( pred_attacker @ ( tuple_client_A_out_3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).

thf(18,axiom,
    name_c != name_skS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

thf(222,plain,
    name_c != name_skS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(168,axiom,
    pred_attacker @ constr_CONST_0x30,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).

thf(592,plain,
    pred_attacker @ constr_CONST_0x30,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).

thf(122,axiom,
    pred_attacker @ name_c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).

thf(496,plain,
    pred_attacker @ name_c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(66,axiom,
    name_c != name_skA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

thf(364,plain,
    name_c != name_skA,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(610,plain,
    $false,
    inference(e,[status(thm)],[479,249,234,555,481,352,408,276,449,511,597,523,582,384,340,538,185,301,565,372,504,587,542,460,416,325,228,289,316,261,216,179,602,453,396,411,243,428,527,307,292,439,270,201,381,334,349,598,424,429,484,252,361,435,522,493,551,578,188,593,499,328,488,225,476,590,547,393,515,457,569,508,558,530,343,237,298,513,264,279,573,444,375,562,286,204,191,402,313,466,540,604,219,419,451,567,387,535,609,213,520,240,198,462,367,552,399,455,267,431,473,426,548,255,516,355,458,194,525,557,580,295,282,414,310,182,331,441,470,544,585,370,600,571,595,497,231,495,517,319,304,258,390,418,378,246,433,207,346,447,405,422,273,564,210,506,358,195,437,532,283,464,575,178,501,607,322,486,337,469,560,491,222,592,496,364]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWW961+1 : TPTP v8.1.2. Released v7.4.0.
% 0.10/0.14  % Command  : run_Leo-III %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 22:06:43 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.97/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.40/1.08  % [INFO] 	 Parsing done (181ms). 
% 1.40/1.09  % [INFO] 	 Running in sequential loop mode. 
% 1.89/1.30  % [INFO] 	 eprover registered as external prover. 
% 1.89/1.31  % [INFO] 	 cvc4 registered as external prover. 
% 1.89/1.31  % [INFO] 	 Scanning for conjecture ... 
% 2.25/1.38  % [INFO] 	 Found a conjecture and 176 axioms. Running axiom selection ... 
% 2.25/1.45  % [INFO] 	 Axiom selection finished. Selected 175 axioms (removed 1 axioms). 
% 2.83/1.53  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.87/1.54  % [INFO] 	 Type checking passed. 
% 2.87/1.54  % [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 ... 
% 5.08/2.27  % External prover 'e' found a proof!
% 5.08/2.27  % [INFO] 	 Killing All external provers ... 
% 5.08/2.27  % Time passed: 1764ms (effective reasoning time: 1180ms)
% 5.08/2.27  % 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)>
% 5.08/2.27  % Axioms used in derivation (175): ax113, ax20, ax52, ax67, ax120, ax110, ax74, ax143, ax148, ax24, ax63, ax109, ax166, ax132, ax56, ax103, ax4, ax47, ax137, ax114, ax41, ax159, ax96, ax90, ax126, ax154, ax31, ax28, ax9, ax153, ax147, ax17, ax158, ax0, ax6, ax133, ax45, ax40, ax121, ax131, ax35, ax58, ax69, ax122, ax85, ax13, ax174, ax155, ax142, ax78, ax125, ax39, ax89, ax124, ax27, ax66, ax8, ax91, 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, 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, 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, ax75, ax100, ax134, ax93, ax169, ax152, ax53, ax119, ax111, ax79, ax123
% 5.08/2.27  % No. of inferences in proof: 354
% 5.08/2.27  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1764 ms resp. 1180 ms w/o parsing
% 5.55/2.34  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.55/2.34  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------