%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW963+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:02:16 AM UTC 2026
% Result : Theorem 9.12s 1.94s
% Output : CNFRefutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 196
% Syntax : Number of formulae : 1277 ( 933 unt; 0 typ; 0 def)
% Number of atoms : 5791 (2092 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 8118 (1202 ~;1100 |; 92 &;5566 @)
% ( 0 <=>; 158 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 65 usr; 17 con; 0-5 aty)
% Number of variables : 1840 ( 0 ^;1840 !; 0 ?;1840 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_constr_CONST_0x30,type,
constr_CONST_0x30: $i ).
thf(tp_constr_CONST_1,type,
constr_CONST_1: $i ).
thf(tp_constr_CONST_2,type,
constr_CONST_2: $i ).
thf(tp_constr_CONST_3,type,
constr_CONST_3: $i ).
thf(tp_constr_CONST_4,type,
constr_CONST_4: $i ).
thf(tp_constr_checksign,type,
constr_checksign: $i > $i > $i ).
thf(tp_constr_dec,type,
constr_dec: $i > $i > $i ).
thf(tp_constr_ecb_dec_1,type,
constr_ecb_dec_1: $i > $i > $i ).
thf(tp_constr_ecb_dec_2,type,
constr_ecb_dec_2: $i > $i > $i ).
thf(tp_constr_ecb_dec_3,type,
constr_ecb_dec_3: $i > $i > $i ).
thf(tp_constr_ecb_dec_4,type,
constr_ecb_dec_4: $i > $i > $i ).
thf(tp_constr_ecb_enc_1,type,
constr_ecb_enc_1: $i > $i > $i ).
thf(tp_constr_ecb_enc_2,type,
constr_ecb_enc_2: $i > $i > $i > $i ).
thf(tp_constr_ecb_enc_3,type,
constr_ecb_enc_3: $i > $i > $i > $i > $i ).
thf(tp_constr_ecb_enc_4,type,
constr_ecb_enc_4: $i > $i > $i > $i > $i > $i ).
thf(tp_constr_enc,type,
constr_enc: $i > $i > $i ).
thf(tp_constr_getmess,type,
constr_getmess: $i > $i ).
thf(tp_constr_pkey,type,
constr_pkey: $i > $i ).
thf(tp_constr_sign,type,
constr_sign: $i > $i > $i ).
thf(tp_constr_tuple_2_get_0x30,type,
constr_tuple_2_get_0x30: $i > $i ).
thf(tp_constr_tuple_2_get_0x30_bitstring,type,
constr_tuple_2_get_0x30_bitstring: $i > $i ).
thf(tp_constr_tuple_2_get_1,type,
constr_tuple_2_get_1: $i > $i ).
thf(tp_constr_tuple_2_get_1_bitstring,type,
constr_tuple_2_get_1_bitstring: $i > $i ).
thf(tp_constr_tuple_3_get_0x30,type,
constr_tuple_3_get_0x30: $i > $i ).
thf(tp_constr_tuple_3_get_1_bitstring,type,
constr_tuple_3_get_1_bitstring: $i > $i ).
thf(tp_constr_tuple_3_get_2,type,
constr_tuple_3_get_2: $i > $i ).
thf(tp_name_A,type,
name_A: $i ).
thf(tp_name_B,type,
name_B: $i ).
thf(tp_name_I,type,
name_I: $i ).
thf(tp_name_Na,type,
name_Na: $i > $i ).
thf(tp_name_Nb,type,
name_Nb: $i > $i ).
thf(tp_name_c,type,
name_c: $i ).
thf(tp_name_new0x2Dname,type,
name_new0x2Dname: $i > $i ).
thf(tp_name_objective,type,
name_objective: $i ).
thf(tp_name_skA,type,
name_skA: $i ).
thf(tp_name_skB,type,
name_skB: $i ).
thf(tp_name_skS,type,
name_skS: $i ).
thf(tp_pred_attacker,type,
pred_attacker: $i > $o ).
thf(tp_pred_eq_bitstring_bitstring,type,
pred_eq_bitstring_bitstring: $i > $i > $o ).
thf(tp_pred_equal,type,
pred_equal: $i > $i > $o ).
thf(tp_pred_mess,type,
pred_mess: $i > $i > $o ).
thf(tp_pred_table,type,
pred_table: $i > $o ).
thf(tp_tuple_2,type,
tuple_2: $i > $i > $i ).
thf(tp_tuple_3,type,
tuple_3: $i > $i > $i > $i ).
thf(tp_tuple_4,type,
tuple_4: $i > $i > $i > $i > $i ).
thf(tp_tuple_client_A_in_2,type,
tuple_client_A_in_2: $i > $i ).
thf(tp_tuple_client_A_in_4,type,
tuple_client_A_in_4: $i > $i ).
thf(tp_tuple_client_A_out_1,type,
tuple_client_A_out_1: $i > $i > $i ).
thf(tp_tuple_client_A_out_3,type,
tuple_client_A_out_3: $i > $i ).
thf(tp_tuple_client_A_out_5,type,
tuple_client_A_out_5: $i > $i ).
thf(tp_tuple_client_B_in_2,type,
tuple_client_B_in_2: $i > $i ).
thf(tp_tuple_client_B_in_3,type,
tuple_client_B_in_3: $i > $i ).
thf(tp_tuple_client_B_in_5,type,
tuple_client_B_in_5: $i > $i ).
thf(tp_tuple_client_B_out_1,type,
tuple_client_B_out_1: $i > $i > $i ).
thf(tp_tuple_client_B_out_4,type,
tuple_client_B_out_4: $i > $i ).
thf(tp_tuple_client_B_out_6,type,
tuple_client_B_out_6: $i > $i ).
thf(tp_tuple_false,type,
tuple_false: $i ).
thf(tp_tuple_key_register_server_in_1,type,
tuple_key_register_server_in_1: $i > $i > $i ).
thf(tp_tuple_key_retrieval_server_in_1,type,
tuple_key_retrieval_server_in_1: $i > $i > $i ).
thf(tp_tuple_key_retrieval_server_out_2,type,
tuple_key_retrieval_server_out_2: $i > $i ).
thf(tp_tuple_keys,type,
tuple_keys: $i > $i > $i ).
thf(tp_tuple_out_1,type,
tuple_out_1: $i > $i ).
thf(tp_tuple_out_2,type,
tuple_out_2: $i > $i ).
thf(tp_tuple_out_3,type,
tuple_out_3: $i > $i ).
thf(tp_tuple_true,type,
tuple_true: $i ).
thf(1,axiom,
! [VAR_HOST_813: $i,VAR_PK_814: $i] :
( ( ( VAR_HOST_813 != name_B )
& ( VAR_HOST_813 != name_A )
& ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_HOST_813 @ VAR_PK_814 ) ) )
=> ( pred_table @ ( tuple_keys @ VAR_HOST_813 @ VAR_PK_814 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax194) ).
thf(2,axiom,
! [VAR_DST_759: $i,VAR_PKDST_760X30: $i,VAR_SRC_761: $i] :
( ( ( pred_table @ ( tuple_keys @ VAR_DST_759 @ VAR_PKDST_760X30 ) )
& ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_SRC_761 @ VAR_DST_759 ) ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ VAR_DST_759 @ VAR_PKDST_760X30 ) @ name_skS ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax193) ).
thf(3,axiom,
! [VAR_0X40SID_717: $i,VAR_ECB_ENC_NA_A_719: $i,VAR_ECB_ENC_NB_718: $i,VAR_SIGN_A_PKA_720X30: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_717 ) @ ( constr_ecb_dec_1 @ VAR_ECB_ENC_NB_718 @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_ECB_ENC_NB_718 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_719 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_719 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_720X30 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_720X30 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax192) ).
thf(4,axiom,
! [VAR_0X40SID_687: $i,VAR_ECB_ENC_NA_A_685: $i,VAR_SIGN_A_PKA_686: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_685 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_685 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_686 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_686 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_685 @ name_skB ) ) @ ( name_Nb @ VAR_0X40SID_687 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_686 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax191) ).
thf(5,axiom,
pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax190) ).
thf(6,axiom,
! [VAR_0X40SID_577: $i,VAR_ECB_ENC_NA_NI_I_576: $i,VAR_SIGN_I_PKI_578: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) )
& ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_577 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) )
& ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_ECB_ENC_NA_NI_I_576 ) )
& ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_578 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_578 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_578 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax189) ).
thf(7,axiom,
! [VAR_0X40SID_512: $i,VAR_SIGN_I_PKI_511: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_511 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_511 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ VAR_0X40SID_512 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_511 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax188) ).
thf(8,axiom,
pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax187) ).
thf(9,axiom,
pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax186) ).
thf(10,axiom,
pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax185) ).
thf(11,axiom,
pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax184) ).
thf(12,axiom,
pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax183) ).
thf(13,axiom,
pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax182) ).
thf(14,axiom,
! [VAR_V_396: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_396 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax181) ).
thf(15,axiom,
! [VAR_V_395: $i] : ( pred_equal @ VAR_V_395 @ VAR_V_395 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax180) ).
thf(16,axiom,
pred_attacker @ name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax179) ).
thf(17,axiom,
pred_attacker @ name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax178) ).
thf(18,axiom,
pred_attacker @ name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax177) ).
thf(19,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax176) ).
thf(20,axiom,
! [VAR_V_392: $i,VAR_V_393: $i] :
( ( ( pred_attacker @ VAR_V_393 )
& ( pred_attacker @ VAR_V_392 ) )
=> ( pred_mess @ VAR_V_393 @ VAR_V_392 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax175) ).
thf(21,axiom,
! [VAR_V_390X30: $i,VAR_V_391: $i] :
( ( ( pred_mess @ VAR_V_391 @ VAR_V_390X30 )
& ( pred_attacker @ VAR_V_391 ) )
=> ( pred_attacker @ VAR_V_390X30 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax174) ).
thf(22,axiom,
! [VAR_V_387: $i,VAR_V_388: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_387 @ VAR_V_388 ) )
=> ( pred_attacker @ VAR_V_388 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).
thf(23,axiom,
! [VAR_V_384: $i,VAR_V_385: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_384 @ VAR_V_385 ) )
=> ( pred_attacker @ VAR_V_384 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax172) ).
thf(24,axiom,
! [VAR_V_376: $i,VAR_V_377: $i] :
( ( ( pred_attacker @ VAR_V_376 )
& ( pred_attacker @ VAR_V_377 ) )
=> ( pred_attacker @ ( tuple_2 @ VAR_V_376 @ VAR_V_377 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax171) ).
thf(25,axiom,
! [VAR_V_370X30: $i,VAR_V_371: $i,VAR_V_372: $i] :
( ( pred_attacker @ ( tuple_3 @ VAR_V_370X30 @ VAR_V_371 @ VAR_V_372 ) )
=> ( pred_attacker @ VAR_V_372 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax170) ).
thf(26,axiom,
! [VAR_V_366: $i,VAR_V_367: $i,VAR_V_368: $i] :
( ( pred_attacker @ ( tuple_3 @ VAR_V_366 @ VAR_V_367 @ VAR_V_368 ) )
=> ( pred_attacker @ VAR_V_367 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax169) ).
thf(27,axiom,
! [VAR_V_362: $i,VAR_V_363: $i,VAR_V_364: $i] :
( ( pred_attacker @ ( tuple_3 @ VAR_V_362 @ VAR_V_363 @ VAR_V_364 ) )
=> ( pred_attacker @ VAR_V_362 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax168) ).
thf(28,axiom,
! [VAR_V_347: $i,VAR_V_348: $i,VAR_V_349: $i] :
( ( ( pred_attacker @ VAR_V_347 )
& ( pred_attacker @ VAR_V_348 )
& ( pred_attacker @ VAR_V_349 ) )
=> ( pred_attacker @ ( tuple_3 @ VAR_V_347 @ VAR_V_348 @ VAR_V_349 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax167) ).
thf(29,axiom,
! [VAR_V_339: $i,VAR_V_340X30: $i,VAR_V_341: $i,VAR_V_342: $i] :
( ( pred_attacker @ ( tuple_4 @ VAR_V_339 @ VAR_V_340X30 @ VAR_V_341 @ VAR_V_342 ) )
=> ( pred_attacker @ VAR_V_342 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax166) ).
thf(30,axiom,
! [VAR_V_334: $i,VAR_V_335: $i,VAR_V_336: $i,VAR_V_337: $i] :
( ( pred_attacker @ ( tuple_4 @ VAR_V_334 @ VAR_V_335 @ VAR_V_336 @ VAR_V_337 ) )
=> ( pred_attacker @ VAR_V_336 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).
thf(31,axiom,
! [VAR_V_329: $i,VAR_V_330X30: $i,VAR_V_331: $i,VAR_V_332: $i] :
( ( pred_attacker @ ( tuple_4 @ VAR_V_329 @ VAR_V_330X30 @ VAR_V_331 @ VAR_V_332 ) )
=> ( pred_attacker @ VAR_V_330X30 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax164) ).
thf(32,axiom,
! [VAR_V_324: $i,VAR_V_325: $i,VAR_V_326: $i,VAR_V_327: $i] :
( ( pred_attacker @ ( tuple_4 @ VAR_V_324 @ VAR_V_325 @ VAR_V_326 @ VAR_V_327 ) )
=> ( pred_attacker @ VAR_V_324 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax163) ).
thf(33,axiom,
! [VAR_V_30X300X30: $i,VAR_V_30X301: $i,VAR_V_30X302: $i,VAR_V_30X303: $i] :
( ( ( pred_attacker @ VAR_V_30X300X30 )
& ( pred_attacker @ VAR_V_30X301 )
& ( pred_attacker @ VAR_V_30X302 )
& ( pred_attacker @ VAR_V_30X303 ) )
=> ( pred_attacker @ ( tuple_4 @ VAR_V_30X300X30 @ VAR_V_30X301 @ VAR_V_30X302 @ VAR_V_30X303 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax162) ).
thf(34,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax161) ).
thf(35,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax160) ).
thf(36,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax159) ).
thf(37,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax158) ).
thf(38,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax157) ).
thf(39,axiom,
! [VAR_V_290X30: $i,VAR_V_291: $i] :
( ( ( pred_attacker @ VAR_V_290X30 )
& ( pred_attacker @ VAR_V_291 ) )
=> ( pred_attacker @ ( constr_checksign @ VAR_V_290X30 @ VAR_V_291 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax156) ).
thf(40,axiom,
! [VAR_V_286: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_286 ) )
=> ( pred_attacker @ VAR_V_286 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax155) ).
thf(41,axiom,
! [VAR_V_283: $i] :
( ( pred_attacker @ VAR_V_283 )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_283 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax154) ).
thf(42,axiom,
! [VAR_V_280X30: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_280X30 ) )
=> ( pred_attacker @ VAR_V_280X30 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax153) ).
thf(43,axiom,
! [VAR_V_277: $i] :
( ( pred_attacker @ VAR_V_277 )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_277 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax152) ).
thf(44,axiom,
! [VAR_V_273: $i,VAR_V_274: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_273 @ VAR_V_274 ) )
=> ( pred_attacker @ VAR_V_274 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax151) ).
thf(45,axiom,
! [VAR_V_270X30: $i,VAR_V_271: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_270X30 @ VAR_V_271 ) )
=> ( pred_attacker @ VAR_V_270X30 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax150) ).
thf(46,axiom,
! [VAR_V_262: $i,VAR_V_263: $i] :
( ( ( pred_attacker @ VAR_V_262 )
& ( pred_attacker @ VAR_V_263 ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_262 @ VAR_V_263 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax149) ).
thf(47,axiom,
! [VAR_V_258: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_258 ) )
=> ( pred_attacker @ VAR_V_258 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax148) ).
thf(48,axiom,
! [VAR_V_255: $i] :
( ( pred_attacker @ VAR_V_255 )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_255 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax147) ).
thf(49,axiom,
! [VAR_V_252: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_252 ) )
=> ( pred_attacker @ VAR_V_252 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax146) ).
thf(50,axiom,
! [VAR_V_249: $i] :
( ( pred_attacker @ VAR_V_249 )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_249 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax145) ).
thf(51,axiom,
! [VAR_V_246: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_246 ) )
=> ( pred_attacker @ VAR_V_246 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax144) ).
thf(52,axiom,
! [VAR_V_243: $i] :
( ( pred_attacker @ VAR_V_243 )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_243 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax143) ).
thf(53,axiom,
! [VAR_V_240X30: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_240X30 ) )
=> ( pred_attacker @ VAR_V_240X30 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax142) ).
thf(54,axiom,
! [VAR_V_237: $i] :
( ( pred_attacker @ VAR_V_237 )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_237 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax141) ).
thf(55,axiom,
! [VAR_V_234: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_234 ) )
=> ( pred_attacker @ VAR_V_234 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax140) ).
thf(56,axiom,
! [VAR_V_231: $i] :
( ( pred_attacker @ VAR_V_231 )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_231 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax139) ).
thf(57,axiom,
! [VAR_V_227: $i,VAR_V_228: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_227 @ VAR_V_228 ) )
=> ( pred_attacker @ VAR_V_228 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax138) ).
thf(58,axiom,
! [VAR_V_224: $i,VAR_V_225: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_224 @ VAR_V_225 ) )
=> ( pred_attacker @ VAR_V_224 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax137) ).
thf(59,axiom,
! [VAR_V_216: $i,VAR_V_217: $i] :
( ( ( pred_attacker @ VAR_V_216 )
& ( pred_attacker @ VAR_V_217 ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_216 @ VAR_V_217 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
thf(60,axiom,
! [VAR_V_212: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_212 ) )
=> ( pred_attacker @ VAR_V_212 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax135) ).
thf(61,axiom,
! [VAR_V_20X309: $i] :
( ( pred_attacker @ VAR_V_20X309 )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_20X309 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
thf(62,axiom,
! [VAR_V_20X306: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X306 ) )
=> ( pred_attacker @ VAR_V_20X306 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax133) ).
thf(63,axiom,
! [VAR_V_20X303: $i] :
( ( pred_attacker @ VAR_V_20X303 )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X303 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax132) ).
thf(64,axiom,
! [VAR_V_20X300X30: $i,VAR_V_20X301: $i] :
( ( ( pred_attacker @ VAR_V_20X300X30 )
& ( pred_attacker @ VAR_V_20X301 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_20X300X30 @ VAR_V_20X301 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).
thf(65,axiom,
! [VAR_V_196: $i,VAR_V_197: $i] :
( ( ( pred_attacker @ VAR_V_196 )
& ( pred_attacker @ VAR_V_197 ) )
=> ( pred_attacker @ ( constr_ecb_dec_1 @ VAR_V_196 @ VAR_V_197 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax130) ).
thf(66,axiom,
! [VAR_V_192: $i,VAR_V_193: $i] :
( ( ( pred_attacker @ VAR_V_192 )
& ( pred_attacker @ VAR_V_193 ) )
=> ( pred_attacker @ ( constr_ecb_dec_2 @ VAR_V_192 @ VAR_V_193 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax129) ).
thf(67,axiom,
! [VAR_V_188: $i,VAR_V_189: $i] :
( ( ( pred_attacker @ VAR_V_188 )
& ( pred_attacker @ VAR_V_189 ) )
=> ( pred_attacker @ ( constr_ecb_dec_3 @ VAR_V_188 @ VAR_V_189 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax128) ).
thf(68,axiom,
! [VAR_V_184: $i,VAR_V_185: $i] :
( ( ( pred_attacker @ VAR_V_184 )
& ( pred_attacker @ VAR_V_185 ) )
=> ( pred_attacker @ ( constr_ecb_dec_4 @ VAR_V_184 @ VAR_V_185 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax127) ).
thf(69,axiom,
! [VAR_V_180X30: $i,VAR_V_181: $i] :
( ( ( pred_attacker @ VAR_V_180X30 )
& ( pred_attacker @ VAR_V_181 ) )
=> ( pred_attacker @ ( constr_ecb_enc_1 @ VAR_V_180X30 @ VAR_V_181 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).
thf(70,axiom,
! [VAR_V_175: $i,VAR_V_176: $i,VAR_V_177: $i] :
( ( ( pred_attacker @ VAR_V_175 )
& ( pred_attacker @ VAR_V_176 )
& ( pred_attacker @ VAR_V_177 ) )
=> ( pred_attacker @ ( constr_ecb_enc_2 @ VAR_V_175 @ VAR_V_176 @ VAR_V_177 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax125) ).
thf(71,axiom,
! [VAR_V_168: $i,VAR_V_169: $i,VAR_V_170X30: $i,VAR_V_171: $i] :
( ( ( pred_attacker @ VAR_V_168 )
& ( pred_attacker @ VAR_V_169 )
& ( pred_attacker @ VAR_V_170X30 )
& ( pred_attacker @ VAR_V_171 ) )
=> ( pred_attacker @ ( constr_ecb_enc_3 @ VAR_V_168 @ VAR_V_169 @ VAR_V_170X30 @ VAR_V_171 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
thf(72,axiom,
! [VAR_V_159: $i,VAR_V_160X30: $i,VAR_V_161: $i,VAR_V_162: $i,VAR_V_163: $i] :
( ( ( pred_attacker @ VAR_V_159 )
& ( pred_attacker @ VAR_V_160X30 )
& ( pred_attacker @ VAR_V_161 )
& ( pred_attacker @ VAR_V_162 )
& ( pred_attacker @ VAR_V_163 ) )
=> ( pred_attacker @ ( constr_ecb_enc_4 @ VAR_V_159 @ VAR_V_160X30 @ VAR_V_161 @ VAR_V_162 @ VAR_V_163 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).
thf(73,axiom,
! [VAR_V_152: $i,VAR_V_153: $i] :
( ( ( pred_attacker @ VAR_V_152 )
& ( pred_attacker @ VAR_V_153 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_152 @ VAR_V_153 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
thf(74,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).
thf(75,axiom,
! [VAR_V_149: $i] :
( ( pred_attacker @ VAR_V_149 )
=> ( pred_attacker @ ( constr_getmess @ VAR_V_149 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
thf(76,axiom,
! [VAR_V_145: $i,VAR_V_146: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_145 @ VAR_V_146 ) )
=> ( pred_attacker @ VAR_V_146 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).
thf(77,axiom,
! [VAR_V_142: $i,VAR_V_143: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_142 @ VAR_V_143 ) )
=> ( pred_attacker @ VAR_V_142 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).
thf(78,axiom,
! [VAR_V_134: $i,VAR_V_135: $i] :
( ( ( pred_attacker @ VAR_V_134 )
& ( pred_attacker @ VAR_V_135 ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_134 @ VAR_V_135 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
thf(79,axiom,
! [VAR_V_129: $i,VAR_V_130X30: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_129 @ VAR_V_130X30 ) )
=> ( pred_attacker @ VAR_V_130X30 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).
thf(80,axiom,
! [VAR_V_126: $i,VAR_V_127: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_126 @ VAR_V_127 ) )
=> ( pred_attacker @ VAR_V_126 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).
thf(81,axiom,
! [VAR_V_118: $i,VAR_V_119: $i] :
( ( ( pred_attacker @ VAR_V_118 )
& ( pred_attacker @ VAR_V_119 ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_118 @ VAR_V_119 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).
thf(82,axiom,
! [VAR_V_114: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_114 ) )
=> ( pred_attacker @ VAR_V_114 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).
thf(83,axiom,
! [VAR_V_111: $i] :
( ( pred_attacker @ VAR_V_111 )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_111 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax112) ).
thf(84,axiom,
! [VAR_V_10X307: $i] :
( ( pred_attacker @ ( tuple_out_1 @ VAR_V_10X307 ) )
=> ( pred_attacker @ VAR_V_10X307 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
thf(85,axiom,
! [VAR_V_10X304: $i] :
( ( pred_attacker @ VAR_V_10X304 )
=> ( pred_attacker @ ( tuple_out_1 @ VAR_V_10X304 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax110) ).
thf(86,axiom,
! [VAR_V_10X301: $i] :
( ( pred_attacker @ ( tuple_out_2 @ VAR_V_10X301 ) )
=> ( pred_attacker @ VAR_V_10X301 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
thf(87,axiom,
! [VAR_V_98: $i] :
( ( pred_attacker @ VAR_V_98 )
=> ( pred_attacker @ ( tuple_out_2 @ VAR_V_98 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax108) ).
thf(88,axiom,
! [VAR_V_95: $i] :
( ( pred_attacker @ ( tuple_out_3 @ VAR_V_95 ) )
=> ( pred_attacker @ VAR_V_95 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax107) ).
thf(89,axiom,
! [VAR_V_92: $i] :
( ( pred_attacker @ VAR_V_92 )
=> ( pred_attacker @ ( tuple_out_3 @ VAR_V_92 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
thf(90,axiom,
! [VAR_V_90X30: $i] :
( ( pred_attacker @ VAR_V_90X30 )
=> ( pred_attacker @ ( constr_pkey @ VAR_V_90X30 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
thf(91,axiom,
! [VAR_V_87: $i,VAR_V_88: $i] :
( ( ( pred_attacker @ VAR_V_87 )
& ( pred_attacker @ VAR_V_88 ) )
=> ( pred_attacker @ ( constr_sign @ VAR_V_87 @ VAR_V_88 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
thf(92,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
thf(93,axiom,
! [VAR_V_84: $i] :
( ( pred_attacker @ VAR_V_84 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_84 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
thf(94,axiom,
! [VAR_V_82: $i] :
( ( pred_attacker @ VAR_V_82 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ VAR_V_82 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
thf(95,axiom,
! [VAR_V_80X30: $i] :
( ( pred_attacker @ VAR_V_80X30 )
=> ( pred_attacker @ ( constr_tuple_2_get_1 @ VAR_V_80X30 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax100) ).
thf(96,axiom,
! [VAR_V_78: $i] :
( ( pred_attacker @ VAR_V_78 )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_78 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
thf(97,axiom,
! [VAR_V_76: $i] :
( ( pred_attacker @ VAR_V_76 )
=> ( pred_attacker @ ( constr_tuple_3_get_0x30 @ VAR_V_76 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax98) ).
thf(98,axiom,
! [VAR_V_74: $i] :
( ( pred_attacker @ VAR_V_74 )
=> ( pred_attacker @ ( constr_tuple_3_get_1_bitstring @ VAR_V_74 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).
thf(99,axiom,
! [VAR_V_72: $i] :
( ( pred_attacker @ VAR_V_72 )
=> ( pred_attacker @ ( constr_tuple_3_get_2 @ VAR_V_72 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax96) ).
thf(100,axiom,
! [VAR_X_65: $i,VAR_Y_66: $i] : ( pred_eq_bitstring_bitstring @ VAR_X_65 @ VAR_Y_66 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
thf(101,axiom,
! [VAR_X0X30_0X30: $i,VAR_X1_0X30: $i] :
( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ VAR_X0X30_0X30 @ VAR_X1_0X30 ) )
= VAR_X0X30_0X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
thf(102,axiom,
! [VAR_X0X30_7: $i,VAR_X1_8: $i] :
( ( constr_tuple_2_get_1 @ ( tuple_2 @ VAR_X0X30_7 @ VAR_X1_8 ) )
= VAR_X1_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
thf(103,axiom,
! [VAR_X0X30_9: $i,VAR_X1_10X30: $i,VAR_X2_0X30: $i] :
( ( constr_tuple_3_get_0x30 @ ( tuple_3 @ VAR_X0X30_9 @ VAR_X1_10X30 @ VAR_X2_0X30 ) )
= VAR_X0X30_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
thf(104,axiom,
! [VAR_X0X30_11: $i,VAR_X1_12: $i,VAR_X2_13: $i] :
( ( constr_tuple_3_get_2 @ ( tuple_3 @ VAR_X0X30_11 @ VAR_X1_12 @ VAR_X2_13 ) )
= VAR_X2_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
thf(105,axiom,
! [VAR_X0X30_14: $i,VAR_X1_15: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ VAR_X0X30_14 @ VAR_X1_15 ) )
= VAR_X0X30_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
thf(106,axiom,
! [VAR_X0X30_16: $i,VAR_X1_17: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_16 @ VAR_X1_17 ) )
= VAR_X1_17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
thf(107,axiom,
! [VAR_X0X30_18: $i,VAR_X1_19: $i,VAR_X2_20X30: $i] :
( ( constr_tuple_3_get_1_bitstring @ ( tuple_3 @ VAR_X0X30_18 @ VAR_X1_19 @ VAR_X2_20X30 ) )
= VAR_X1_19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
thf(108,axiom,
! [VAR_K_0X30: $i,VAR_X1_21: $i,VAR_X2_22: $i] :
( ( constr_ecb_enc_2 @ VAR_X1_21 @ VAR_X2_22 @ VAR_K_0X30 )
= ( tuple_2 @ ( constr_ecb_enc_1 @ VAR_X1_21 @ VAR_K_0X30 ) @ ( constr_ecb_enc_1 @ VAR_X2_22 @ VAR_K_0X30 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
thf(109,axiom,
! [VAR_K_25: $i,VAR_X1_23: $i,VAR_X2_24: $i,VAR_X3_0X30: $i] :
( ( constr_ecb_enc_3 @ VAR_X1_23 @ VAR_X2_24 @ VAR_X3_0X30 @ VAR_K_25 )
= ( tuple_3 @ ( constr_ecb_enc_1 @ VAR_X1_23 @ VAR_K_25 ) @ ( constr_ecb_enc_1 @ VAR_X2_24 @ VAR_K_25 ) @ ( constr_ecb_enc_1 @ VAR_X3_0X30 @ VAR_K_25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
thf(110,axiom,
! [VAR_K_29: $i,VAR_X1_26: $i,VAR_X2_27: $i,VAR_X3_28: $i,VAR_X4_0X30: $i] :
( ( constr_ecb_enc_4 @ VAR_X1_26 @ VAR_X2_27 @ VAR_X3_28 @ VAR_X4_0X30 @ VAR_K_29 )
= ( tuple_4 @ ( constr_ecb_enc_1 @ VAR_X1_26 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X2_27 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X3_28 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X4_0X30 @ VAR_K_29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
thf(111,axiom,
! [VAR_K_31: $i,VAR_X1_30X30: $i] :
( ( constr_ecb_dec_1 @ ( constr_ecb_enc_1 @ VAR_X1_30X30 @ ( constr_pkey @ VAR_K_31 ) ) @ VAR_K_31 )
= VAR_X1_30X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
thf(112,axiom,
! [VAR_K_34: $i,VAR_X1_32: $i,VAR_X2_33: $i] :
( ( constr_ecb_dec_2 @ ( constr_ecb_enc_2 @ VAR_X1_32 @ VAR_X2_33 @ ( constr_pkey @ VAR_K_34 ) ) @ VAR_K_34 )
= ( tuple_2 @ VAR_X1_32 @ VAR_X2_33 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
thf(113,axiom,
! [VAR_K_38: $i,VAR_X1_35: $i,VAR_X2_36: $i,VAR_X3_37: $i] :
( ( constr_ecb_dec_3 @ ( constr_ecb_enc_3 @ VAR_X1_35 @ VAR_X2_36 @ VAR_X3_37 @ ( constr_pkey @ VAR_K_38 ) ) @ VAR_K_38 )
= ( tuple_3 @ VAR_X1_35 @ VAR_X2_36 @ VAR_X3_37 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
thf(114,axiom,
! [VAR_K_43: $i,VAR_X1_39: $i,VAR_X2_40X30: $i,VAR_X3_41: $i,VAR_X4_42: $i] :
( ( constr_ecb_dec_4 @ ( constr_ecb_enc_4 @ VAR_X1_39 @ VAR_X2_40X30 @ VAR_X3_41 @ VAR_X4_42 @ ( constr_pkey @ VAR_K_43 ) ) @ VAR_K_43 )
= ( tuple_4 @ VAR_X1_39 @ VAR_X2_40X30 @ VAR_X3_41 @ VAR_X4_42 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
thf(115,axiom,
! [VAR_K_44: $i,VAR_M_0X30: $i] :
( ( constr_checksign @ ( constr_sign @ VAR_M_0X30 @ VAR_K_44 ) @ ( constr_pkey @ VAR_K_44 ) )
= VAR_M_0X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
thf(116,axiom,
! [VAR_K_46: $i,VAR_M_45: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_45 @ VAR_K_46 ) )
= VAR_M_45 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
thf(117,axiom,
! [VAR_K_48: $i,VAR_M_47: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_47 @ VAR_K_48 ) @ VAR_K_48 )
= VAR_M_47 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
thf(118,axiom,
name_skB != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
thf(119,axiom,
name_skA != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
thf(120,axiom,
name_skA != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
thf(121,axiom,
name_objective != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
thf(122,axiom,
name_objective != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
thf(123,axiom,
name_objective != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
thf(124,axiom,
name_c != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(125,axiom,
name_c != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(126,axiom,
name_c != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(127,axiom,
name_c != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(128,axiom,
name_I != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(129,axiom,
name_I != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(130,axiom,
name_I != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(131,axiom,
name_I != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(132,axiom,
name_I != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(133,axiom,
name_B != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(134,axiom,
name_B != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(135,axiom,
name_B != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(136,axiom,
name_B != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(137,axiom,
name_B != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(138,axiom,
name_B != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(139,axiom,
name_A != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(140,axiom,
name_A != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(141,axiom,
name_A != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(142,axiom,
name_A != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(143,axiom,
name_A != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(144,axiom,
name_A != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(145,axiom,
name_A != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(146,axiom,
constr_CONST_4 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(147,axiom,
constr_CONST_4 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(148,axiom,
constr_CONST_4 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(149,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(150,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(151,axiom,
constr_CONST_4 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(152,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(153,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(154,axiom,
constr_CONST_3 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(155,axiom,
constr_CONST_3 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(156,axiom,
constr_CONST_3 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(157,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(158,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(159,axiom,
constr_CONST_3 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(160,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(161,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(162,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(163,axiom,
constr_CONST_2 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(164,axiom,
constr_CONST_2 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(165,axiom,
constr_CONST_2 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(166,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(167,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(168,axiom,
constr_CONST_2 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(169,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(170,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(171,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(172,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(173,axiom,
constr_CONST_1 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(174,axiom,
constr_CONST_1 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(175,axiom,
constr_CONST_1 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(176,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(177,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(178,axiom,
constr_CONST_1 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(179,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(180,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(181,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(182,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(183,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(184,axiom,
constr_CONST_0x30 != name_skS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(185,axiom,
constr_CONST_0x30 != name_skB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(186,axiom,
constr_CONST_0x30 != name_skA,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(187,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(188,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(189,axiom,
constr_CONST_0x30 != name_I,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(190,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(191,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(192,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(193,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(194,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(195,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax0) ).
thf(196,conjecture,
pred_attacker @ name_objective,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
thf(197,negated_conjecture,
( ( pred_attacker @ name_objective )
= $false ),
inference(negate_conjecture,[status(cth)],[196]) ).
thf(198,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(unfold_def,[status(thm)],[197]) ).
thf(199,plain,
( ( ! [VAR_HOST_813: $i,VAR_PK_814: $i] :
( ( ( VAR_HOST_813 != name_B )
& ( VAR_HOST_813 != name_A )
& ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_HOST_813 @ VAR_PK_814 ) ) )
=> ( pred_table @ ( tuple_keys @ VAR_HOST_813 @ VAR_PK_814 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(200,plain,
( ( ! [VAR_DST_759: $i,VAR_PKDST_760X30: $i,VAR_SRC_761: $i] :
( ( ( pred_table @ ( tuple_keys @ VAR_DST_759 @ VAR_PKDST_760X30 ) )
& ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_SRC_761 @ VAR_DST_759 ) ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ VAR_DST_759 @ VAR_PKDST_760X30 ) @ name_skS ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(201,plain,
( ( ! [VAR_0X40SID_717: $i,VAR_ECB_ENC_NA_A_719: $i,VAR_ECB_ENC_NB_718: $i,VAR_SIGN_A_PKA_720X30: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_717 ) @ ( constr_ecb_dec_1 @ VAR_ECB_ENC_NB_718 @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_ECB_ENC_NB_718 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_719 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_719 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_720X30 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_720X30 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(202,plain,
( ( ! [VAR_0X40SID_687: $i,VAR_ECB_ENC_NA_A_685: $i,VAR_SIGN_A_PKA_686: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_685 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_685 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_686 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_686 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_685 @ name_skB ) ) @ ( name_Nb @ VAR_0X40SID_687 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_686 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(203,plain,
( ( pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(204,plain,
( ( ! [VAR_0X40SID_577: $i,VAR_ECB_ENC_NA_NI_I_576: $i,VAR_SIGN_I_PKI_578: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) )
& ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_577 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) )
& ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_ECB_ENC_NA_NI_I_576 ) )
& ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_578 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_578 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_578 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(205,plain,
( ( ! [VAR_0X40SID_512: $i,VAR_SIGN_I_PKI_511: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_511 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_511 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ VAR_0X40SID_512 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_511 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(206,plain,
( ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(207,plain,
( ( pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(208,plain,
( ( pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(209,plain,
( ( pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(210,plain,
( ( pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(211,plain,
( ( pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(212,plain,
( ( ! [VAR_V_396: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_396 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(213,plain,
( ( ! [VAR_V_395: $i] : ( pred_equal @ VAR_V_395 @ VAR_V_395 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(214,plain,
( ( pred_attacker @ name_A )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(215,plain,
( ( pred_attacker @ name_B )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(216,plain,
( ( pred_attacker @ name_I )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(217,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(218,plain,
( ( ! [VAR_V_392: $i,VAR_V_393: $i] :
( ( ( pred_attacker @ VAR_V_393 )
& ( pred_attacker @ VAR_V_392 ) )
=> ( pred_mess @ VAR_V_393 @ VAR_V_392 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(219,plain,
( ( ! [VAR_V_390X30: $i,VAR_V_391: $i] :
( ( ( pred_mess @ VAR_V_391 @ VAR_V_390X30 )
& ( pred_attacker @ VAR_V_391 ) )
=> ( pred_attacker @ VAR_V_390X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(220,plain,
( ( ! [VAR_V_387: $i,VAR_V_388: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_387 @ VAR_V_388 ) )
=> ( pred_attacker @ VAR_V_388 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(221,plain,
( ( ! [VAR_V_384: $i,VAR_V_385: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_384 @ VAR_V_385 ) )
=> ( pred_attacker @ VAR_V_384 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(222,plain,
( ( ! [VAR_V_376: $i,VAR_V_377: $i] :
( ( ( pred_attacker @ VAR_V_376 )
& ( pred_attacker @ VAR_V_377 ) )
=> ( pred_attacker @ ( tuple_2 @ VAR_V_376 @ VAR_V_377 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(223,plain,
( ( ! [VAR_V_370X30: $i,VAR_V_371: $i,VAR_V_372: $i] :
( ( pred_attacker @ ( tuple_3 @ VAR_V_370X30 @ VAR_V_371 @ VAR_V_372 ) )
=> ( pred_attacker @ VAR_V_372 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(224,plain,
( ( ! [VAR_V_366: $i,VAR_V_367: $i,VAR_V_368: $i] :
( ( pred_attacker @ ( tuple_3 @ VAR_V_366 @ VAR_V_367 @ VAR_V_368 ) )
=> ( pred_attacker @ VAR_V_367 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(225,plain,
( ( ! [VAR_V_362: $i,VAR_V_363: $i,VAR_V_364: $i] :
( ( pred_attacker @ ( tuple_3 @ VAR_V_362 @ VAR_V_363 @ VAR_V_364 ) )
=> ( pred_attacker @ VAR_V_362 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(226,plain,
( ( ! [VAR_V_347: $i,VAR_V_348: $i,VAR_V_349: $i] :
( ( ( pred_attacker @ VAR_V_347 )
& ( pred_attacker @ VAR_V_348 )
& ( pred_attacker @ VAR_V_349 ) )
=> ( pred_attacker @ ( tuple_3 @ VAR_V_347 @ VAR_V_348 @ VAR_V_349 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(227,plain,
( ( ! [VAR_V_339: $i,VAR_V_340X30: $i,VAR_V_341: $i,VAR_V_342: $i] :
( ( pred_attacker @ ( tuple_4 @ VAR_V_339 @ VAR_V_340X30 @ VAR_V_341 @ VAR_V_342 ) )
=> ( pred_attacker @ VAR_V_342 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(228,plain,
( ( ! [VAR_V_334: $i,VAR_V_335: $i,VAR_V_336: $i,VAR_V_337: $i] :
( ( pred_attacker @ ( tuple_4 @ VAR_V_334 @ VAR_V_335 @ VAR_V_336 @ VAR_V_337 ) )
=> ( pred_attacker @ VAR_V_336 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(229,plain,
( ( ! [VAR_V_329: $i,VAR_V_330X30: $i,VAR_V_331: $i,VAR_V_332: $i] :
( ( pred_attacker @ ( tuple_4 @ VAR_V_329 @ VAR_V_330X30 @ VAR_V_331 @ VAR_V_332 ) )
=> ( pred_attacker @ VAR_V_330X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(230,plain,
( ( ! [VAR_V_324: $i,VAR_V_325: $i,VAR_V_326: $i,VAR_V_327: $i] :
( ( pred_attacker @ ( tuple_4 @ VAR_V_324 @ VAR_V_325 @ VAR_V_326 @ VAR_V_327 ) )
=> ( pred_attacker @ VAR_V_324 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(231,plain,
( ( ! [VAR_V_30X300X30: $i,VAR_V_30X301: $i,VAR_V_30X302: $i,VAR_V_30X303: $i] :
( ( ( pred_attacker @ VAR_V_30X300X30 )
& ( pred_attacker @ VAR_V_30X301 )
& ( pred_attacker @ VAR_V_30X302 )
& ( pred_attacker @ VAR_V_30X303 ) )
=> ( pred_attacker @ ( tuple_4 @ VAR_V_30X300X30 @ VAR_V_30X301 @ VAR_V_30X302 @ VAR_V_30X303 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(232,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(233,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(234,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(235,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(236,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(237,plain,
( ( ! [VAR_V_290X30: $i,VAR_V_291: $i] :
( ( ( pred_attacker @ VAR_V_290X30 )
& ( pred_attacker @ VAR_V_291 ) )
=> ( pred_attacker @ ( constr_checksign @ VAR_V_290X30 @ VAR_V_291 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(238,plain,
( ( ! [VAR_V_286: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_286 ) )
=> ( pred_attacker @ VAR_V_286 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(239,plain,
( ( ! [VAR_V_283: $i] :
( ( pred_attacker @ VAR_V_283 )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_283 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(240,plain,
( ( ! [VAR_V_280X30: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_280X30 ) )
=> ( pred_attacker @ VAR_V_280X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(241,plain,
( ( ! [VAR_V_277: $i] :
( ( pred_attacker @ VAR_V_277 )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_277 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(242,plain,
( ( ! [VAR_V_273: $i,VAR_V_274: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_273 @ VAR_V_274 ) )
=> ( pred_attacker @ VAR_V_274 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(243,plain,
( ( ! [VAR_V_270X30: $i,VAR_V_271: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_270X30 @ VAR_V_271 ) )
=> ( pred_attacker @ VAR_V_270X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(244,plain,
( ( ! [VAR_V_262: $i,VAR_V_263: $i] :
( ( ( pred_attacker @ VAR_V_262 )
& ( pred_attacker @ VAR_V_263 ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_262 @ VAR_V_263 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(245,plain,
( ( ! [VAR_V_258: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_258 ) )
=> ( pred_attacker @ VAR_V_258 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(246,plain,
( ( ! [VAR_V_255: $i] :
( ( pred_attacker @ VAR_V_255 )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_255 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(247,plain,
( ( ! [VAR_V_252: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_252 ) )
=> ( pred_attacker @ VAR_V_252 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(248,plain,
( ( ! [VAR_V_249: $i] :
( ( pred_attacker @ VAR_V_249 )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_249 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(249,plain,
( ( ! [VAR_V_246: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_246 ) )
=> ( pred_attacker @ VAR_V_246 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(250,plain,
( ( ! [VAR_V_243: $i] :
( ( pred_attacker @ VAR_V_243 )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_243 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(251,plain,
( ( ! [VAR_V_240X30: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_240X30 ) )
=> ( pred_attacker @ VAR_V_240X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(252,plain,
( ( ! [VAR_V_237: $i] :
( ( pred_attacker @ VAR_V_237 )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_237 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(253,plain,
( ( ! [VAR_V_234: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_234 ) )
=> ( pred_attacker @ VAR_V_234 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(254,plain,
( ( ! [VAR_V_231: $i] :
( ( pred_attacker @ VAR_V_231 )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_231 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(255,plain,
( ( ! [VAR_V_227: $i,VAR_V_228: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_227 @ VAR_V_228 ) )
=> ( pred_attacker @ VAR_V_228 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(256,plain,
( ( ! [VAR_V_224: $i,VAR_V_225: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_224 @ VAR_V_225 ) )
=> ( pred_attacker @ VAR_V_224 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(257,plain,
( ( ! [VAR_V_216: $i,VAR_V_217: $i] :
( ( ( pred_attacker @ VAR_V_216 )
& ( pred_attacker @ VAR_V_217 ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_216 @ VAR_V_217 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(258,plain,
( ( ! [VAR_V_212: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_212 ) )
=> ( pred_attacker @ VAR_V_212 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(259,plain,
( ( ! [VAR_V_20X309: $i] :
( ( pred_attacker @ VAR_V_20X309 )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_20X309 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(260,plain,
( ( ! [VAR_V_20X306: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X306 ) )
=> ( pred_attacker @ VAR_V_20X306 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(261,plain,
( ( ! [VAR_V_20X303: $i] :
( ( pred_attacker @ VAR_V_20X303 )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X303 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(262,plain,
( ( ! [VAR_V_20X300X30: $i,VAR_V_20X301: $i] :
( ( ( pred_attacker @ VAR_V_20X300X30 )
& ( pred_attacker @ VAR_V_20X301 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_20X300X30 @ VAR_V_20X301 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(263,plain,
( ( ! [VAR_V_196: $i,VAR_V_197: $i] :
( ( ( pred_attacker @ VAR_V_196 )
& ( pred_attacker @ VAR_V_197 ) )
=> ( pred_attacker @ ( constr_ecb_dec_1 @ VAR_V_196 @ VAR_V_197 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(264,plain,
( ( ! [VAR_V_192: $i,VAR_V_193: $i] :
( ( ( pred_attacker @ VAR_V_192 )
& ( pred_attacker @ VAR_V_193 ) )
=> ( pred_attacker @ ( constr_ecb_dec_2 @ VAR_V_192 @ VAR_V_193 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(265,plain,
( ( ! [VAR_V_188: $i,VAR_V_189: $i] :
( ( ( pred_attacker @ VAR_V_188 )
& ( pred_attacker @ VAR_V_189 ) )
=> ( pred_attacker @ ( constr_ecb_dec_3 @ VAR_V_188 @ VAR_V_189 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(266,plain,
( ( ! [VAR_V_184: $i,VAR_V_185: $i] :
( ( ( pred_attacker @ VAR_V_184 )
& ( pred_attacker @ VAR_V_185 ) )
=> ( pred_attacker @ ( constr_ecb_dec_4 @ VAR_V_184 @ VAR_V_185 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(267,plain,
( ( ! [VAR_V_180X30: $i,VAR_V_181: $i] :
( ( ( pred_attacker @ VAR_V_180X30 )
& ( pred_attacker @ VAR_V_181 ) )
=> ( pred_attacker @ ( constr_ecb_enc_1 @ VAR_V_180X30 @ VAR_V_181 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(268,plain,
( ( ! [VAR_V_175: $i,VAR_V_176: $i,VAR_V_177: $i] :
( ( ( pred_attacker @ VAR_V_175 )
& ( pred_attacker @ VAR_V_176 )
& ( pred_attacker @ VAR_V_177 ) )
=> ( pred_attacker @ ( constr_ecb_enc_2 @ VAR_V_175 @ VAR_V_176 @ VAR_V_177 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(269,plain,
( ( ! [VAR_V_168: $i,VAR_V_169: $i,VAR_V_170X30: $i,VAR_V_171: $i] :
( ( ( pred_attacker @ VAR_V_168 )
& ( pred_attacker @ VAR_V_169 )
& ( pred_attacker @ VAR_V_170X30 )
& ( pred_attacker @ VAR_V_171 ) )
=> ( pred_attacker @ ( constr_ecb_enc_3 @ VAR_V_168 @ VAR_V_169 @ VAR_V_170X30 @ VAR_V_171 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(270,plain,
( ( ! [VAR_V_159: $i,VAR_V_160X30: $i,VAR_V_161: $i,VAR_V_162: $i,VAR_V_163: $i] :
( ( ( pred_attacker @ VAR_V_159 )
& ( pred_attacker @ VAR_V_160X30 )
& ( pred_attacker @ VAR_V_161 )
& ( pred_attacker @ VAR_V_162 )
& ( pred_attacker @ VAR_V_163 ) )
=> ( pred_attacker @ ( constr_ecb_enc_4 @ VAR_V_159 @ VAR_V_160X30 @ VAR_V_161 @ VAR_V_162 @ VAR_V_163 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(271,plain,
( ( ! [VAR_V_152: $i,VAR_V_153: $i] :
( ( ( pred_attacker @ VAR_V_152 )
& ( pred_attacker @ VAR_V_153 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_152 @ VAR_V_153 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(272,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(273,plain,
( ( ! [VAR_V_149: $i] :
( ( pred_attacker @ VAR_V_149 )
=> ( pred_attacker @ ( constr_getmess @ VAR_V_149 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(274,plain,
( ( ! [VAR_V_145: $i,VAR_V_146: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_145 @ VAR_V_146 ) )
=> ( pred_attacker @ VAR_V_146 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(275,plain,
( ( ! [VAR_V_142: $i,VAR_V_143: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_142 @ VAR_V_143 ) )
=> ( pred_attacker @ VAR_V_142 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(276,plain,
( ( ! [VAR_V_134: $i,VAR_V_135: $i] :
( ( ( pred_attacker @ VAR_V_134 )
& ( pred_attacker @ VAR_V_135 ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_134 @ VAR_V_135 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(277,plain,
( ( ! [VAR_V_129: $i,VAR_V_130X30: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_129 @ VAR_V_130X30 ) )
=> ( pred_attacker @ VAR_V_130X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(278,plain,
( ( ! [VAR_V_126: $i,VAR_V_127: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_126 @ VAR_V_127 ) )
=> ( pred_attacker @ VAR_V_126 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(279,plain,
( ( ! [VAR_V_118: $i,VAR_V_119: $i] :
( ( ( pred_attacker @ VAR_V_118 )
& ( pred_attacker @ VAR_V_119 ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_118 @ VAR_V_119 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(280,plain,
( ( ! [VAR_V_114: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_114 ) )
=> ( pred_attacker @ VAR_V_114 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(281,plain,
( ( ! [VAR_V_111: $i] :
( ( pred_attacker @ VAR_V_111 )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_111 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(282,plain,
( ( ! [VAR_V_10X307: $i] :
( ( pred_attacker @ ( tuple_out_1 @ VAR_V_10X307 ) )
=> ( pred_attacker @ VAR_V_10X307 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(283,plain,
( ( ! [VAR_V_10X304: $i] :
( ( pred_attacker @ VAR_V_10X304 )
=> ( pred_attacker @ ( tuple_out_1 @ VAR_V_10X304 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(284,plain,
( ( ! [VAR_V_10X301: $i] :
( ( pred_attacker @ ( tuple_out_2 @ VAR_V_10X301 ) )
=> ( pred_attacker @ VAR_V_10X301 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(285,plain,
( ( ! [VAR_V_98: $i] :
( ( pred_attacker @ VAR_V_98 )
=> ( pred_attacker @ ( tuple_out_2 @ VAR_V_98 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(286,plain,
( ( ! [VAR_V_95: $i] :
( ( pred_attacker @ ( tuple_out_3 @ VAR_V_95 ) )
=> ( pred_attacker @ VAR_V_95 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(287,plain,
( ( ! [VAR_V_92: $i] :
( ( pred_attacker @ VAR_V_92 )
=> ( pred_attacker @ ( tuple_out_3 @ VAR_V_92 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(288,plain,
( ( ! [VAR_V_90X30: $i] :
( ( pred_attacker @ VAR_V_90X30 )
=> ( pred_attacker @ ( constr_pkey @ VAR_V_90X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(289,plain,
( ( ! [VAR_V_87: $i,VAR_V_88: $i] :
( ( ( pred_attacker @ VAR_V_87 )
& ( pred_attacker @ VAR_V_88 ) )
=> ( pred_attacker @ ( constr_sign @ VAR_V_87 @ VAR_V_88 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(290,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(291,plain,
( ( ! [VAR_V_84: $i] :
( ( pred_attacker @ VAR_V_84 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_84 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(292,plain,
( ( ! [VAR_V_82: $i] :
( ( pred_attacker @ VAR_V_82 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ VAR_V_82 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(293,plain,
( ( ! [VAR_V_80X30: $i] :
( ( pred_attacker @ VAR_V_80X30 )
=> ( pred_attacker @ ( constr_tuple_2_get_1 @ VAR_V_80X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(294,plain,
( ( ! [VAR_V_78: $i] :
( ( pred_attacker @ VAR_V_78 )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_78 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(295,plain,
( ( ! [VAR_V_76: $i] :
( ( pred_attacker @ VAR_V_76 )
=> ( pred_attacker @ ( constr_tuple_3_get_0x30 @ VAR_V_76 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(296,plain,
( ( ! [VAR_V_74: $i] :
( ( pred_attacker @ VAR_V_74 )
=> ( pred_attacker @ ( constr_tuple_3_get_1_bitstring @ VAR_V_74 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(297,plain,
( ( ! [VAR_V_72: $i] :
( ( pred_attacker @ VAR_V_72 )
=> ( pred_attacker @ ( constr_tuple_3_get_2 @ VAR_V_72 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(298,plain,
( ( ! [VAR_X_65: $i,VAR_Y_66: $i] : ( pred_eq_bitstring_bitstring @ VAR_X_65 @ VAR_Y_66 ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(299,plain,
( ( ! [VAR_X0X30_0X30: $i,VAR_X1_0X30: $i] :
( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ VAR_X0X30_0X30 @ VAR_X1_0X30 ) )
= VAR_X0X30_0X30 ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(300,plain,
( ( ! [VAR_X0X30_7: $i,VAR_X1_8: $i] :
( ( constr_tuple_2_get_1 @ ( tuple_2 @ VAR_X0X30_7 @ VAR_X1_8 ) )
= VAR_X1_8 ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(301,plain,
( ( ! [VAR_X0X30_9: $i,VAR_X1_10X30: $i,VAR_X2_0X30: $i] :
( ( constr_tuple_3_get_0x30 @ ( tuple_3 @ VAR_X0X30_9 @ VAR_X1_10X30 @ VAR_X2_0X30 ) )
= VAR_X0X30_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(302,plain,
( ( ! [VAR_X0X30_11: $i,VAR_X1_12: $i,VAR_X2_13: $i] :
( ( constr_tuple_3_get_2 @ ( tuple_3 @ VAR_X0X30_11 @ VAR_X1_12 @ VAR_X2_13 ) )
= VAR_X2_13 ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(303,plain,
( ( ! [VAR_X0X30_14: $i,VAR_X1_15: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ VAR_X0X30_14 @ VAR_X1_15 ) )
= VAR_X0X30_14 ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(304,plain,
( ( ! [VAR_X0X30_16: $i,VAR_X1_17: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_16 @ VAR_X1_17 ) )
= VAR_X1_17 ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(305,plain,
( ( ! [VAR_X0X30_18: $i,VAR_X1_19: $i,VAR_X2_20X30: $i] :
( ( constr_tuple_3_get_1_bitstring @ ( tuple_3 @ VAR_X0X30_18 @ VAR_X1_19 @ VAR_X2_20X30 ) )
= VAR_X1_19 ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(306,plain,
( ( ! [VAR_K_0X30: $i,VAR_X1_21: $i,VAR_X2_22: $i] :
( ( constr_ecb_enc_2 @ VAR_X1_21 @ VAR_X2_22 @ VAR_K_0X30 )
= ( tuple_2 @ ( constr_ecb_enc_1 @ VAR_X1_21 @ VAR_K_0X30 ) @ ( constr_ecb_enc_1 @ VAR_X2_22 @ VAR_K_0X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(307,plain,
( ( ! [VAR_K_25: $i,VAR_X1_23: $i,VAR_X2_24: $i,VAR_X3_0X30: $i] :
( ( constr_ecb_enc_3 @ VAR_X1_23 @ VAR_X2_24 @ VAR_X3_0X30 @ VAR_K_25 )
= ( tuple_3 @ ( constr_ecb_enc_1 @ VAR_X1_23 @ VAR_K_25 ) @ ( constr_ecb_enc_1 @ VAR_X2_24 @ VAR_K_25 ) @ ( constr_ecb_enc_1 @ VAR_X3_0X30 @ VAR_K_25 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(308,plain,
( ( ! [VAR_K_29: $i,VAR_X1_26: $i,VAR_X2_27: $i,VAR_X3_28: $i,VAR_X4_0X30: $i] :
( ( constr_ecb_enc_4 @ VAR_X1_26 @ VAR_X2_27 @ VAR_X3_28 @ VAR_X4_0X30 @ VAR_K_29 )
= ( tuple_4 @ ( constr_ecb_enc_1 @ VAR_X1_26 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X2_27 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X3_28 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X4_0X30 @ VAR_K_29 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(309,plain,
( ( ! [VAR_K_31: $i,VAR_X1_30X30: $i] :
( ( constr_ecb_dec_1 @ ( constr_ecb_enc_1 @ VAR_X1_30X30 @ ( constr_pkey @ VAR_K_31 ) ) @ VAR_K_31 )
= VAR_X1_30X30 ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(310,plain,
( ( ! [VAR_K_34: $i,VAR_X1_32: $i,VAR_X2_33: $i] :
( ( constr_ecb_dec_2 @ ( constr_ecb_enc_2 @ VAR_X1_32 @ VAR_X2_33 @ ( constr_pkey @ VAR_K_34 ) ) @ VAR_K_34 )
= ( tuple_2 @ VAR_X1_32 @ VAR_X2_33 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(311,plain,
( ( ! [VAR_K_38: $i,VAR_X1_35: $i,VAR_X2_36: $i,VAR_X3_37: $i] :
( ( constr_ecb_dec_3 @ ( constr_ecb_enc_3 @ VAR_X1_35 @ VAR_X2_36 @ VAR_X3_37 @ ( constr_pkey @ VAR_K_38 ) ) @ VAR_K_38 )
= ( tuple_3 @ VAR_X1_35 @ VAR_X2_36 @ VAR_X3_37 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(312,plain,
( ( ! [VAR_K_43: $i,VAR_X1_39: $i,VAR_X2_40X30: $i,VAR_X3_41: $i,VAR_X4_42: $i] :
( ( constr_ecb_dec_4 @ ( constr_ecb_enc_4 @ VAR_X1_39 @ VAR_X2_40X30 @ VAR_X3_41 @ VAR_X4_42 @ ( constr_pkey @ VAR_K_43 ) ) @ VAR_K_43 )
= ( tuple_4 @ VAR_X1_39 @ VAR_X2_40X30 @ VAR_X3_41 @ VAR_X4_42 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(313,plain,
( ( ! [VAR_K_44: $i,VAR_M_0X30: $i] :
( ( constr_checksign @ ( constr_sign @ VAR_M_0X30 @ VAR_K_44 ) @ ( constr_pkey @ VAR_K_44 ) )
= VAR_M_0X30 ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(314,plain,
( ( ! [VAR_K_46: $i,VAR_M_45: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_45 @ VAR_K_46 ) )
= VAR_M_45 ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(315,plain,
( ( ! [VAR_K_48: $i,VAR_M_47: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_47 @ VAR_K_48 ) @ VAR_K_48 )
= VAR_M_47 ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(316,plain,
( ( name_skB != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(317,plain,
( ( name_skA != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(318,plain,
( ( name_skA != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(319,plain,
( ( name_objective != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(320,plain,
( ( name_objective != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(321,plain,
( ( name_objective != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(322,plain,
( ( name_c != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(323,plain,
( ( name_c != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(324,plain,
( ( name_c != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(325,plain,
( ( name_c != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(326,plain,
( ( name_I != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(327,plain,
( ( name_I != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(328,plain,
( ( name_I != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(329,plain,
( ( name_I != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(330,plain,
( ( name_I != name_c )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(331,plain,
( ( name_B != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(332,plain,
( ( name_B != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(333,plain,
( ( name_B != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(334,plain,
( ( name_B != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(335,plain,
( ( name_B != name_c )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(336,plain,
( ( name_B != name_I )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(337,plain,
( ( name_A != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(338,plain,
( ( name_A != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(339,plain,
( ( name_A != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(340,plain,
( ( name_A != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(341,plain,
( ( name_A != name_c )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(342,plain,
( ( name_A != name_I )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(343,plain,
( ( name_A != name_B )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(344,plain,
( ( constr_CONST_4 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(345,plain,
( ( constr_CONST_4 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(346,plain,
( ( constr_CONST_4 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(347,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(348,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(349,plain,
( ( constr_CONST_4 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(350,plain,
( ( constr_CONST_4 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(351,plain,
( ( constr_CONST_4 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(352,plain,
( ( constr_CONST_3 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(353,plain,
( ( constr_CONST_3 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(354,plain,
( ( constr_CONST_3 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(355,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(356,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(357,plain,
( ( constr_CONST_3 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(358,plain,
( ( constr_CONST_3 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(359,plain,
( ( constr_CONST_3 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(360,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(361,plain,
( ( constr_CONST_2 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(362,plain,
( ( constr_CONST_2 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(363,plain,
( ( constr_CONST_2 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(364,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(365,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(366,plain,
( ( constr_CONST_2 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(367,plain,
( ( constr_CONST_2 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(368,plain,
( ( constr_CONST_2 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(369,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(370,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(371,plain,
( ( constr_CONST_1 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(372,plain,
( ( constr_CONST_1 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(373,plain,
( ( constr_CONST_1 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(374,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(375,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(376,plain,
( ( constr_CONST_1 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(377,plain,
( ( constr_CONST_1 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(378,plain,
( ( constr_CONST_1 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(379,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(380,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(381,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(382,plain,
( ( constr_CONST_0x30 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(383,plain,
( ( constr_CONST_0x30 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(384,plain,
( ( constr_CONST_0x30 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(385,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(386,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(387,plain,
( ( constr_CONST_0x30 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(388,plain,
( ( constr_CONST_0x30 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(389,plain,
( ( constr_CONST_0x30 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(390,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(391,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(392,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(393,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(394,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(polarity_switch,[status(thm)],[198]) ).
thf(395,plain,
( ( ! [VAR_HOST_813: $i,VAR_PK_814: $i] :
( ( VAR_HOST_813 = name_B )
| ( VAR_HOST_813 = name_A )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_HOST_813 @ VAR_PK_814 ) )
| ( pred_table @ ( tuple_keys @ VAR_HOST_813 @ VAR_PK_814 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[199]) ).
thf(396,plain,
( ( ! [VAR_DST_759: $i,VAR_PKDST_760X30: $i] :
( ! [VAR_SRC_761: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_SRC_761 @ VAR_DST_759 ) )
| ~ ( pred_table @ ( tuple_keys @ VAR_DST_759 @ VAR_PKDST_760X30 ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ VAR_DST_759 @ VAR_PKDST_760X30 ) @ name_skS ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[200]) ).
thf(397,plain,
( ( ! [VAR_0X40SID_717: $i,VAR_ECB_ENC_NA_A_719: $i] :
( ! [VAR_ECB_ENC_NB_718: $i,VAR_SIGN_A_PKA_720X30: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_ECB_ENC_NB_718 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_717 ) @ ( constr_ecb_dec_1 @ VAR_ECB_ENC_NB_718 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_719 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_719 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_720X30 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_720X30 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[201]) ).
thf(398,plain,
( ( ! [VAR_0X40SID_687: $i,VAR_ECB_ENC_NA_A_685: $i,VAR_SIGN_A_PKA_686: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_685 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_685 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_686 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_686 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_685 @ name_skB ) ) @ ( name_Nb @ VAR_0X40SID_687 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_686 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[202]) ).
thf(399,plain,
( ( ! [VAR_0X40SID_577: $i,VAR_ECB_ENC_NA_NI_I_576: $i,VAR_SIGN_I_PKI_578: $i] :
( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_577 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_ECB_ENC_NA_NI_I_576 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_578 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_578 ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_578 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[204]) ).
thf(400,plain,
( ( ! [VAR_0X40SID_512: $i,VAR_SIGN_I_PKI_511: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_511 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_511 @ ( constr_pkey @ name_skS ) ) ) )
| ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ VAR_0X40SID_512 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_511 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[205]) ).
thf(401,plain,
( ( ! [VAR_V_392: $i,VAR_V_393: $i] :
( ~ ( pred_attacker @ VAR_V_393 )
| ~ ( pred_attacker @ VAR_V_392 )
| ( pred_mess @ VAR_V_393 @ VAR_V_392 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[218]) ).
thf(402,plain,
( ( ! [VAR_V_390X30: $i] :
( ! [VAR_V_391: $i] :
( ~ ( pred_attacker @ VAR_V_391 )
| ~ ( pred_mess @ VAR_V_391 @ VAR_V_390X30 ) )
| ( pred_attacker @ VAR_V_390X30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(403,plain,
( ( ! [VAR_V_387: $i,VAR_V_388: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ VAR_V_387 @ VAR_V_388 ) )
| ( pred_attacker @ VAR_V_388 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(404,plain,
( ( ! [VAR_V_384: $i] :
( ! [VAR_V_385: $i] :
~ ( pred_attacker @ ( tuple_2 @ VAR_V_384 @ VAR_V_385 ) )
| ( pred_attacker @ VAR_V_384 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[221]) ).
thf(405,plain,
( ( ! [VAR_V_376: $i,VAR_V_377: $i] :
( ~ ( pred_attacker @ VAR_V_376 )
| ~ ( pred_attacker @ VAR_V_377 )
| ( pred_attacker @ ( tuple_2 @ VAR_V_376 @ VAR_V_377 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(406,plain,
( ( ! [VAR_V_370X30: $i,VAR_V_371: $i,VAR_V_372: $i] :
( ~ ( pred_attacker @ ( tuple_3 @ VAR_V_370X30 @ VAR_V_371 @ VAR_V_372 ) )
| ( pred_attacker @ VAR_V_372 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[223]) ).
thf(407,plain,
( ( ! [VAR_V_366: $i,VAR_V_367: $i] :
( ! [VAR_V_368: $i] :
~ ( pred_attacker @ ( tuple_3 @ VAR_V_366 @ VAR_V_367 @ VAR_V_368 ) )
| ( pred_attacker @ VAR_V_367 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[224]) ).
thf(408,plain,
( ( ! [VAR_V_362: $i] :
( ! [VAR_V_363: $i,VAR_V_364: $i] :
~ ( pred_attacker @ ( tuple_3 @ VAR_V_362 @ VAR_V_363 @ VAR_V_364 ) )
| ( pred_attacker @ VAR_V_362 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[225]) ).
thf(409,plain,
( ( ! [VAR_V_347: $i,VAR_V_348: $i,VAR_V_349: $i] :
( ~ ( pred_attacker @ VAR_V_347 )
| ~ ( pred_attacker @ VAR_V_348 )
| ~ ( pred_attacker @ VAR_V_349 )
| ( pred_attacker @ ( tuple_3 @ VAR_V_347 @ VAR_V_348 @ VAR_V_349 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(410,plain,
( ( ! [VAR_V_339: $i,VAR_V_340X30: $i,VAR_V_341: $i,VAR_V_342: $i] :
( ~ ( pred_attacker @ ( tuple_4 @ VAR_V_339 @ VAR_V_340X30 @ VAR_V_341 @ VAR_V_342 ) )
| ( pred_attacker @ VAR_V_342 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[227]) ).
thf(411,plain,
( ( ! [VAR_V_334: $i,VAR_V_335: $i,VAR_V_336: $i] :
( ! [VAR_V_337: $i] :
~ ( pred_attacker @ ( tuple_4 @ VAR_V_334 @ VAR_V_335 @ VAR_V_336 @ VAR_V_337 ) )
| ( pred_attacker @ VAR_V_336 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[228]) ).
thf(412,plain,
( ( ! [VAR_V_329: $i,VAR_V_330X30: $i] :
( ! [VAR_V_331: $i,VAR_V_332: $i] :
~ ( pred_attacker @ ( tuple_4 @ VAR_V_329 @ VAR_V_330X30 @ VAR_V_331 @ VAR_V_332 ) )
| ( pred_attacker @ VAR_V_330X30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[229]) ).
thf(413,plain,
( ( ! [VAR_V_324: $i,VAR_V_325: $i] :
( ! [VAR_V_326: $i,VAR_V_327: $i] :
~ ( pred_attacker @ ( tuple_4 @ VAR_V_324 @ VAR_V_325 @ VAR_V_326 @ VAR_V_327 ) )
| ( pred_attacker @ VAR_V_324 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[230]) ).
thf(414,plain,
( ( ! [VAR_V_30X300X30: $i,VAR_V_30X301: $i,VAR_V_30X302: $i,VAR_V_30X303: $i] :
( ~ ( pred_attacker @ VAR_V_30X300X30 )
| ~ ( pred_attacker @ VAR_V_30X301 )
| ~ ( pred_attacker @ VAR_V_30X302 )
| ~ ( pred_attacker @ VAR_V_30X303 )
| ( pred_attacker @ ( tuple_4 @ VAR_V_30X300X30 @ VAR_V_30X301 @ VAR_V_30X302 @ VAR_V_30X303 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[231]) ).
thf(415,plain,
( ( ! [VAR_V_290X30: $i,VAR_V_291: $i] :
( ~ ( pred_attacker @ VAR_V_290X30 )
| ~ ( pred_attacker @ VAR_V_291 )
| ( pred_attacker @ ( constr_checksign @ VAR_V_290X30 @ VAR_V_291 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[237]) ).
thf(416,plain,
( ( ! [VAR_V_286: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_286 ) )
| ( pred_attacker @ VAR_V_286 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[238]) ).
thf(417,plain,
( ( ! [VAR_V_283: $i] :
( ~ ( pred_attacker @ VAR_V_283 )
| ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_283 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[239]) ).
thf(418,plain,
( ( ! [VAR_V_280X30: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_280X30 ) )
| ( pred_attacker @ VAR_V_280X30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[240]) ).
thf(419,plain,
( ( ! [VAR_V_277: $i] :
( ~ ( pred_attacker @ VAR_V_277 )
| ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_277 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[241]) ).
thf(420,plain,
( ( ! [VAR_V_273: $i,VAR_V_274: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_273 @ VAR_V_274 ) )
| ( pred_attacker @ VAR_V_274 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[242]) ).
thf(421,plain,
( ( ! [VAR_V_270X30: $i] :
( ! [VAR_V_271: $i] :
~ ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_270X30 @ VAR_V_271 ) )
| ( pred_attacker @ VAR_V_270X30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[243]) ).
thf(422,plain,
( ( ! [VAR_V_262: $i,VAR_V_263: $i] :
( ~ ( pred_attacker @ VAR_V_262 )
| ~ ( pred_attacker @ VAR_V_263 )
| ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_262 @ VAR_V_263 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[244]) ).
thf(423,plain,
( ( ! [VAR_V_258: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_258 ) )
| ( pred_attacker @ VAR_V_258 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[245]) ).
thf(424,plain,
( ( ! [VAR_V_255: $i] :
( ~ ( pred_attacker @ VAR_V_255 )
| ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_255 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[246]) ).
thf(425,plain,
( ( ! [VAR_V_252: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_252 ) )
| ( pred_attacker @ VAR_V_252 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[247]) ).
thf(426,plain,
( ( ! [VAR_V_249: $i] :
( ~ ( pred_attacker @ VAR_V_249 )
| ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_249 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[248]) ).
thf(427,plain,
( ( ! [VAR_V_246: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_246 ) )
| ( pred_attacker @ VAR_V_246 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[249]) ).
thf(428,plain,
( ( ! [VAR_V_243: $i] :
( ~ ( pred_attacker @ VAR_V_243 )
| ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_243 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[250]) ).
thf(429,plain,
( ( ! [VAR_V_240X30: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_240X30 ) )
| ( pred_attacker @ VAR_V_240X30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[251]) ).
thf(430,plain,
( ( ! [VAR_V_237: $i] :
( ~ ( pred_attacker @ VAR_V_237 )
| ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_237 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[252]) ).
thf(431,plain,
( ( ! [VAR_V_234: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_234 ) )
| ( pred_attacker @ VAR_V_234 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[253]) ).
thf(432,plain,
( ( ! [VAR_V_231: $i] :
( ~ ( pred_attacker @ VAR_V_231 )
| ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_231 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[254]) ).
thf(433,plain,
( ( ! [VAR_V_227: $i,VAR_V_228: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_227 @ VAR_V_228 ) )
| ( pred_attacker @ VAR_V_228 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[255]) ).
thf(434,plain,
( ( ! [VAR_V_224: $i] :
( ! [VAR_V_225: $i] :
~ ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_224 @ VAR_V_225 ) )
| ( pred_attacker @ VAR_V_224 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[256]) ).
thf(435,plain,
( ( ! [VAR_V_216: $i,VAR_V_217: $i] :
( ~ ( pred_attacker @ VAR_V_216 )
| ~ ( pred_attacker @ VAR_V_217 )
| ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_216 @ VAR_V_217 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[257]) ).
thf(436,plain,
( ( ! [VAR_V_212: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_212 ) )
| ( pred_attacker @ VAR_V_212 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[258]) ).
thf(437,plain,
( ( ! [VAR_V_20X309: $i] :
( ~ ( pred_attacker @ VAR_V_20X309 )
| ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_20X309 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[259]) ).
thf(438,plain,
( ( ! [VAR_V_20X306: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X306 ) )
| ( pred_attacker @ VAR_V_20X306 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[260]) ).
thf(439,plain,
( ( ! [VAR_V_20X303: $i] :
( ~ ( pred_attacker @ VAR_V_20X303 )
| ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X303 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[261]) ).
thf(440,plain,
( ( ! [VAR_V_20X300X30: $i,VAR_V_20X301: $i] :
( ~ ( pred_attacker @ VAR_V_20X300X30 )
| ~ ( pred_attacker @ VAR_V_20X301 )
| ( pred_attacker @ ( constr_dec @ VAR_V_20X300X30 @ VAR_V_20X301 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[262]) ).
thf(441,plain,
( ( ! [VAR_V_196: $i,VAR_V_197: $i] :
( ~ ( pred_attacker @ VAR_V_196 )
| ~ ( pred_attacker @ VAR_V_197 )
| ( pred_attacker @ ( constr_ecb_dec_1 @ VAR_V_196 @ VAR_V_197 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[263]) ).
thf(442,plain,
( ( ! [VAR_V_192: $i,VAR_V_193: $i] :
( ~ ( pred_attacker @ VAR_V_192 )
| ~ ( pred_attacker @ VAR_V_193 )
| ( pred_attacker @ ( constr_ecb_dec_2 @ VAR_V_192 @ VAR_V_193 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[264]) ).
thf(443,plain,
( ( ! [VAR_V_188: $i,VAR_V_189: $i] :
( ~ ( pred_attacker @ VAR_V_188 )
| ~ ( pred_attacker @ VAR_V_189 )
| ( pred_attacker @ ( constr_ecb_dec_3 @ VAR_V_188 @ VAR_V_189 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[265]) ).
thf(444,plain,
( ( ! [VAR_V_184: $i,VAR_V_185: $i] :
( ~ ( pred_attacker @ VAR_V_184 )
| ~ ( pred_attacker @ VAR_V_185 )
| ( pred_attacker @ ( constr_ecb_dec_4 @ VAR_V_184 @ VAR_V_185 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[266]) ).
thf(445,plain,
( ( ! [VAR_V_180X30: $i,VAR_V_181: $i] :
( ~ ( pred_attacker @ VAR_V_180X30 )
| ~ ( pred_attacker @ VAR_V_181 )
| ( pred_attacker @ ( constr_ecb_enc_1 @ VAR_V_180X30 @ VAR_V_181 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[267]) ).
thf(446,plain,
( ( ! [VAR_V_175: $i,VAR_V_176: $i,VAR_V_177: $i] :
( ~ ( pred_attacker @ VAR_V_175 )
| ~ ( pred_attacker @ VAR_V_176 )
| ~ ( pred_attacker @ VAR_V_177 )
| ( pred_attacker @ ( constr_ecb_enc_2 @ VAR_V_175 @ VAR_V_176 @ VAR_V_177 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[268]) ).
thf(447,plain,
( ( ! [VAR_V_168: $i,VAR_V_169: $i,VAR_V_170X30: $i,VAR_V_171: $i] :
( ~ ( pred_attacker @ VAR_V_168 )
| ~ ( pred_attacker @ VAR_V_169 )
| ~ ( pred_attacker @ VAR_V_170X30 )
| ~ ( pred_attacker @ VAR_V_171 )
| ( pred_attacker @ ( constr_ecb_enc_3 @ VAR_V_168 @ VAR_V_169 @ VAR_V_170X30 @ VAR_V_171 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[269]) ).
thf(448,plain,
( ( ! [VAR_V_159: $i,VAR_V_160X30: $i,VAR_V_161: $i,VAR_V_162: $i,VAR_V_163: $i] :
( ~ ( pred_attacker @ VAR_V_159 )
| ~ ( pred_attacker @ VAR_V_160X30 )
| ~ ( pred_attacker @ VAR_V_161 )
| ~ ( pred_attacker @ VAR_V_162 )
| ~ ( pred_attacker @ VAR_V_163 )
| ( pred_attacker @ ( constr_ecb_enc_4 @ VAR_V_159 @ VAR_V_160X30 @ VAR_V_161 @ VAR_V_162 @ VAR_V_163 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[270]) ).
thf(449,plain,
( ( ! [VAR_V_152: $i,VAR_V_153: $i] :
( ~ ( pred_attacker @ VAR_V_152 )
| ~ ( pred_attacker @ VAR_V_153 )
| ( pred_attacker @ ( constr_enc @ VAR_V_152 @ VAR_V_153 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[271]) ).
thf(450,plain,
( ( ! [VAR_V_149: $i] :
( ~ ( pred_attacker @ VAR_V_149 )
| ( pred_attacker @ ( constr_getmess @ VAR_V_149 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[273]) ).
thf(451,plain,
( ( ! [VAR_V_145: $i,VAR_V_146: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_145 @ VAR_V_146 ) )
| ( pred_attacker @ VAR_V_146 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[274]) ).
thf(452,plain,
( ( ! [VAR_V_142: $i] :
( ! [VAR_V_143: $i] :
~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_142 @ VAR_V_143 ) )
| ( pred_attacker @ VAR_V_142 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[275]) ).
thf(453,plain,
( ( ! [VAR_V_134: $i,VAR_V_135: $i] :
( ~ ( pred_attacker @ VAR_V_134 )
| ~ ( pred_attacker @ VAR_V_135 )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_134 @ VAR_V_135 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[276]) ).
thf(454,plain,
( ( ! [VAR_V_129: $i,VAR_V_130X30: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_129 @ VAR_V_130X30 ) )
| ( pred_attacker @ VAR_V_130X30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[277]) ).
thf(455,plain,
( ( ! [VAR_V_126: $i] :
( ! [VAR_V_127: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_126 @ VAR_V_127 ) )
| ( pred_attacker @ VAR_V_126 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[278]) ).
thf(456,plain,
( ( ! [VAR_V_118: $i,VAR_V_119: $i] :
( ~ ( pred_attacker @ VAR_V_118 )
| ~ ( pred_attacker @ VAR_V_119 )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_118 @ VAR_V_119 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[279]) ).
thf(457,plain,
( ( ! [VAR_V_114: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_114 ) )
| ( pred_attacker @ VAR_V_114 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[280]) ).
thf(458,plain,
( ( ! [VAR_V_111: $i] :
( ~ ( pred_attacker @ VAR_V_111 )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_111 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[281]) ).
thf(459,plain,
( ( ! [VAR_V_10X307: $i] :
( ~ ( pred_attacker @ ( tuple_out_1 @ VAR_V_10X307 ) )
| ( pred_attacker @ VAR_V_10X307 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[282]) ).
thf(460,plain,
( ( ! [VAR_V_10X304: $i] :
( ~ ( pred_attacker @ VAR_V_10X304 )
| ( pred_attacker @ ( tuple_out_1 @ VAR_V_10X304 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[283]) ).
thf(461,plain,
( ( ! [VAR_V_10X301: $i] :
( ~ ( pred_attacker @ ( tuple_out_2 @ VAR_V_10X301 ) )
| ( pred_attacker @ VAR_V_10X301 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[284]) ).
thf(462,plain,
( ( ! [VAR_V_98: $i] :
( ~ ( pred_attacker @ VAR_V_98 )
| ( pred_attacker @ ( tuple_out_2 @ VAR_V_98 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[285]) ).
thf(463,plain,
( ( ! [VAR_V_95: $i] :
( ~ ( pred_attacker @ ( tuple_out_3 @ VAR_V_95 ) )
| ( pred_attacker @ VAR_V_95 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[286]) ).
thf(464,plain,
( ( ! [VAR_V_92: $i] :
( ~ ( pred_attacker @ VAR_V_92 )
| ( pred_attacker @ ( tuple_out_3 @ VAR_V_92 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[287]) ).
thf(465,plain,
( ( ! [VAR_V_90X30: $i] :
( ~ ( pred_attacker @ VAR_V_90X30 )
| ( pred_attacker @ ( constr_pkey @ VAR_V_90X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[288]) ).
thf(466,plain,
( ( ! [VAR_V_87: $i,VAR_V_88: $i] :
( ~ ( pred_attacker @ VAR_V_87 )
| ~ ( pred_attacker @ VAR_V_88 )
| ( pred_attacker @ ( constr_sign @ VAR_V_87 @ VAR_V_88 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[289]) ).
thf(467,plain,
( ( ! [VAR_V_84: $i] :
( ~ ( pred_attacker @ VAR_V_84 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_84 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[291]) ).
thf(468,plain,
( ( ! [VAR_V_82: $i] :
( ~ ( pred_attacker @ VAR_V_82 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ VAR_V_82 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[292]) ).
thf(469,plain,
( ( ! [VAR_V_80X30: $i] :
( ~ ( pred_attacker @ VAR_V_80X30 )
| ( pred_attacker @ ( constr_tuple_2_get_1 @ VAR_V_80X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[293]) ).
thf(470,plain,
( ( ! [VAR_V_78: $i] :
( ~ ( pred_attacker @ VAR_V_78 )
| ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_78 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[294]) ).
thf(471,plain,
( ( ! [VAR_V_76: $i] :
( ~ ( pred_attacker @ VAR_V_76 )
| ( pred_attacker @ ( constr_tuple_3_get_0x30 @ VAR_V_76 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[295]) ).
thf(472,plain,
( ( ! [VAR_V_74: $i] :
( ~ ( pred_attacker @ VAR_V_74 )
| ( pred_attacker @ ( constr_tuple_3_get_1_bitstring @ VAR_V_74 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[296]) ).
thf(473,plain,
( ( ! [VAR_V_72: $i] :
( ~ ( pred_attacker @ VAR_V_72 )
| ( pred_attacker @ ( constr_tuple_3_get_2 @ VAR_V_72 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[297]) ).
thf(474,plain,
( ( name_skB != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[316]) ).
thf(475,plain,
( ( name_skA != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[317]) ).
thf(476,plain,
( ( name_skA != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[318]) ).
thf(477,plain,
( ( name_objective != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[319]) ).
thf(478,plain,
( ( name_objective != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[320]) ).
thf(479,plain,
( ( name_objective != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[321]) ).
thf(480,plain,
( ( name_c != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[322]) ).
thf(481,plain,
( ( name_c != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[323]) ).
thf(482,plain,
( ( name_c != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[324]) ).
thf(483,plain,
( ( name_c != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[325]) ).
thf(484,plain,
( ( name_I != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[326]) ).
thf(485,plain,
( ( name_I != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[327]) ).
thf(486,plain,
( ( name_I != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[328]) ).
thf(487,plain,
( ( name_I != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[329]) ).
thf(488,plain,
( ( name_I != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[330]) ).
thf(489,plain,
( ( name_B != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[331]) ).
thf(490,plain,
( ( name_B != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[332]) ).
thf(491,plain,
( ( name_B != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[333]) ).
thf(492,plain,
( ( name_B != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[334]) ).
thf(493,plain,
( ( name_B != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[335]) ).
thf(494,plain,
( ( name_B != name_I )
= $true ),
inference(extcnf_combined,[status(esa)],[336]) ).
thf(495,plain,
( ( name_A != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[337]) ).
thf(496,plain,
( ( name_A != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[338]) ).
thf(497,plain,
( ( name_A != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[339]) ).
thf(498,plain,
( ( name_A != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[340]) ).
thf(499,plain,
( ( name_A != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[341]) ).
thf(500,plain,
( ( name_A != name_I )
= $true ),
inference(extcnf_combined,[status(esa)],[342]) ).
thf(501,plain,
( ( name_A != name_B )
= $true ),
inference(extcnf_combined,[status(esa)],[343]) ).
thf(502,plain,
( ( constr_CONST_4 != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[344]) ).
thf(503,plain,
( ( constr_CONST_4 != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[345]) ).
thf(504,plain,
( ( constr_CONST_4 != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[346]) ).
thf(505,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[347]) ).
thf(506,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[348]) ).
thf(507,plain,
( ( constr_CONST_4 != name_I )
= $true ),
inference(extcnf_combined,[status(esa)],[349]) ).
thf(508,plain,
( ( constr_CONST_4 != name_B )
= $true ),
inference(extcnf_combined,[status(esa)],[350]) ).
thf(509,plain,
( ( constr_CONST_4 != name_A )
= $true ),
inference(extcnf_combined,[status(esa)],[351]) ).
thf(510,plain,
( ( constr_CONST_3 != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[352]) ).
thf(511,plain,
( ( constr_CONST_3 != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[353]) ).
thf(512,plain,
( ( constr_CONST_3 != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[354]) ).
thf(513,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[355]) ).
thf(514,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[356]) ).
thf(515,plain,
( ( constr_CONST_3 != name_I )
= $true ),
inference(extcnf_combined,[status(esa)],[357]) ).
thf(516,plain,
( ( constr_CONST_3 != name_B )
= $true ),
inference(extcnf_combined,[status(esa)],[358]) ).
thf(517,plain,
( ( constr_CONST_3 != name_A )
= $true ),
inference(extcnf_combined,[status(esa)],[359]) ).
thf(518,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(extcnf_combined,[status(esa)],[360]) ).
thf(519,plain,
( ( constr_CONST_2 != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[361]) ).
thf(520,plain,
( ( constr_CONST_2 != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[362]) ).
thf(521,plain,
( ( constr_CONST_2 != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[363]) ).
thf(522,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[364]) ).
thf(523,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[365]) ).
thf(524,plain,
( ( constr_CONST_2 != name_I )
= $true ),
inference(extcnf_combined,[status(esa)],[366]) ).
thf(525,plain,
( ( constr_CONST_2 != name_B )
= $true ),
inference(extcnf_combined,[status(esa)],[367]) ).
thf(526,plain,
( ( constr_CONST_2 != name_A )
= $true ),
inference(extcnf_combined,[status(esa)],[368]) ).
thf(527,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(extcnf_combined,[status(esa)],[369]) ).
thf(528,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(extcnf_combined,[status(esa)],[370]) ).
thf(529,plain,
( ( constr_CONST_1 != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[371]) ).
thf(530,plain,
( ( constr_CONST_1 != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[372]) ).
thf(531,plain,
( ( constr_CONST_1 != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[373]) ).
thf(532,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[374]) ).
thf(533,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[375]) ).
thf(534,plain,
( ( constr_CONST_1 != name_I )
= $true ),
inference(extcnf_combined,[status(esa)],[376]) ).
thf(535,plain,
( ( constr_CONST_1 != name_B )
= $true ),
inference(extcnf_combined,[status(esa)],[377]) ).
thf(536,plain,
( ( constr_CONST_1 != name_A )
= $true ),
inference(extcnf_combined,[status(esa)],[378]) ).
thf(537,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(extcnf_combined,[status(esa)],[379]) ).
thf(538,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(extcnf_combined,[status(esa)],[380]) ).
thf(539,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(extcnf_combined,[status(esa)],[381]) ).
thf(540,plain,
( ( constr_CONST_0x30 != name_skS )
= $true ),
inference(extcnf_combined,[status(esa)],[382]) ).
thf(541,plain,
( ( constr_CONST_0x30 != name_skB )
= $true ),
inference(extcnf_combined,[status(esa)],[383]) ).
thf(542,plain,
( ( constr_CONST_0x30 != name_skA )
= $true ),
inference(extcnf_combined,[status(esa)],[384]) ).
thf(543,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(extcnf_combined,[status(esa)],[385]) ).
thf(544,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(extcnf_combined,[status(esa)],[386]) ).
thf(545,plain,
( ( constr_CONST_0x30 != name_I )
= $true ),
inference(extcnf_combined,[status(esa)],[387]) ).
thf(546,plain,
( ( constr_CONST_0x30 != name_B )
= $true ),
inference(extcnf_combined,[status(esa)],[388]) ).
thf(547,plain,
( ( constr_CONST_0x30 != name_A )
= $true ),
inference(extcnf_combined,[status(esa)],[389]) ).
thf(548,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(extcnf_combined,[status(esa)],[390]) ).
thf(549,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(extcnf_combined,[status(esa)],[391]) ).
thf(550,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(extcnf_combined,[status(esa)],[392]) ).
thf(551,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(extcnf_combined,[status(esa)],[393]) ).
thf(552,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[551]) ).
thf(553,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[550]) ).
thf(554,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[549]) ).
thf(555,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[548]) ).
thf(556,plain,
( ( constr_CONST_0x30 != name_A )
= $true ),
inference(copy,[status(thm)],[547]) ).
thf(557,plain,
( ( constr_CONST_0x30 != name_B )
= $true ),
inference(copy,[status(thm)],[546]) ).
thf(558,plain,
( ( constr_CONST_0x30 != name_I )
= $true ),
inference(copy,[status(thm)],[545]) ).
thf(559,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(copy,[status(thm)],[544]) ).
thf(560,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(copy,[status(thm)],[543]) ).
thf(561,plain,
( ( constr_CONST_0x30 != name_skA )
= $true ),
inference(copy,[status(thm)],[542]) ).
thf(562,plain,
( ( constr_CONST_0x30 != name_skB )
= $true ),
inference(copy,[status(thm)],[541]) ).
thf(563,plain,
( ( constr_CONST_0x30 != name_skS )
= $true ),
inference(copy,[status(thm)],[540]) ).
thf(564,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[539]) ).
thf(565,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[538]) ).
thf(566,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[537]) ).
thf(567,plain,
( ( constr_CONST_1 != name_A )
= $true ),
inference(copy,[status(thm)],[536]) ).
thf(568,plain,
( ( constr_CONST_1 != name_B )
= $true ),
inference(copy,[status(thm)],[535]) ).
thf(569,plain,
( ( constr_CONST_1 != name_I )
= $true ),
inference(copy,[status(thm)],[534]) ).
thf(570,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(copy,[status(thm)],[533]) ).
thf(571,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(copy,[status(thm)],[532]) ).
thf(572,plain,
( ( constr_CONST_1 != name_skA )
= $true ),
inference(copy,[status(thm)],[531]) ).
thf(573,plain,
( ( constr_CONST_1 != name_skB )
= $true ),
inference(copy,[status(thm)],[530]) ).
thf(574,plain,
( ( constr_CONST_1 != name_skS )
= $true ),
inference(copy,[status(thm)],[529]) ).
thf(575,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[528]) ).
thf(576,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[527]) ).
thf(577,plain,
( ( constr_CONST_2 != name_A )
= $true ),
inference(copy,[status(thm)],[526]) ).
thf(578,plain,
( ( constr_CONST_2 != name_B )
= $true ),
inference(copy,[status(thm)],[525]) ).
thf(579,plain,
( ( constr_CONST_2 != name_I )
= $true ),
inference(copy,[status(thm)],[524]) ).
thf(580,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(copy,[status(thm)],[523]) ).
thf(581,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(copy,[status(thm)],[522]) ).
thf(582,plain,
( ( constr_CONST_2 != name_skA )
= $true ),
inference(copy,[status(thm)],[521]) ).
thf(583,plain,
( ( constr_CONST_2 != name_skB )
= $true ),
inference(copy,[status(thm)],[520]) ).
thf(584,plain,
( ( constr_CONST_2 != name_skS )
= $true ),
inference(copy,[status(thm)],[519]) ).
thf(585,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[518]) ).
thf(586,plain,
( ( constr_CONST_3 != name_A )
= $true ),
inference(copy,[status(thm)],[517]) ).
thf(587,plain,
( ( constr_CONST_3 != name_B )
= $true ),
inference(copy,[status(thm)],[516]) ).
thf(588,plain,
( ( constr_CONST_3 != name_I )
= $true ),
inference(copy,[status(thm)],[515]) ).
thf(589,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(copy,[status(thm)],[514]) ).
thf(590,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(copy,[status(thm)],[513]) ).
thf(591,plain,
( ( constr_CONST_3 != name_skA )
= $true ),
inference(copy,[status(thm)],[512]) ).
thf(592,plain,
( ( constr_CONST_3 != name_skB )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(593,plain,
( ( constr_CONST_3 != name_skS )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(594,plain,
( ( constr_CONST_4 != name_A )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(595,plain,
( ( constr_CONST_4 != name_B )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(596,plain,
( ( constr_CONST_4 != name_I )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(597,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(598,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(copy,[status(thm)],[505]) ).
thf(599,plain,
( ( constr_CONST_4 != name_skA )
= $true ),
inference(copy,[status(thm)],[504]) ).
thf(600,plain,
( ( constr_CONST_4 != name_skB )
= $true ),
inference(copy,[status(thm)],[503]) ).
thf(601,plain,
( ( constr_CONST_4 != name_skS )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(602,plain,
( ( name_A != name_B )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(603,plain,
( ( name_A != name_I )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(604,plain,
( ( name_A != name_c )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(605,plain,
( ( name_A != name_objective )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(606,plain,
( ( name_A != name_skA )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(607,plain,
( ( name_A != name_skB )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(608,plain,
( ( name_A != name_skS )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(609,plain,
( ( name_B != name_I )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(610,plain,
( ( name_B != name_c )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(611,plain,
( ( name_B != name_objective )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(612,plain,
( ( name_B != name_skA )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(613,plain,
( ( name_B != name_skB )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(614,plain,
( ( name_B != name_skS )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(615,plain,
( ( name_I != name_c )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(616,plain,
( ( name_I != name_objective )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(617,plain,
( ( name_I != name_skA )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(618,plain,
( ( name_I != name_skB )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(619,plain,
( ( name_I != name_skS )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(620,plain,
( ( name_c != name_objective )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(621,plain,
( ( name_c != name_skA )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(622,plain,
( ( name_c != name_skB )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(623,plain,
( ( name_c != name_skS )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(624,plain,
( ( name_objective != name_skA )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(625,plain,
( ( name_objective != name_skB )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(626,plain,
( ( name_objective != name_skS )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(627,plain,
( ( name_skA != name_skB )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(628,plain,
( ( name_skA != name_skS )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(629,plain,
( ( name_skB != name_skS )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(630,plain,
( ( ! [VAR_K_48: $i,VAR_M_47: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_47 @ VAR_K_48 ) @ VAR_K_48 )
= VAR_M_47 ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(631,plain,
( ( ! [VAR_K_46: $i,VAR_M_45: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_45 @ VAR_K_46 ) )
= VAR_M_45 ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(632,plain,
( ( ! [VAR_K_44: $i,VAR_M_0X30: $i] :
( ( constr_checksign @ ( constr_sign @ VAR_M_0X30 @ VAR_K_44 ) @ ( constr_pkey @ VAR_K_44 ) )
= VAR_M_0X30 ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(633,plain,
( ( ! [VAR_K_43: $i,VAR_X1_39: $i,VAR_X2_40X30: $i,VAR_X3_41: $i,VAR_X4_42: $i] :
( ( constr_ecb_dec_4 @ ( constr_ecb_enc_4 @ VAR_X1_39 @ VAR_X2_40X30 @ VAR_X3_41 @ VAR_X4_42 @ ( constr_pkey @ VAR_K_43 ) ) @ VAR_K_43 )
= ( tuple_4 @ VAR_X1_39 @ VAR_X2_40X30 @ VAR_X3_41 @ VAR_X4_42 ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(634,plain,
( ( ! [VAR_K_38: $i,VAR_X1_35: $i,VAR_X2_36: $i,VAR_X3_37: $i] :
( ( constr_ecb_dec_3 @ ( constr_ecb_enc_3 @ VAR_X1_35 @ VAR_X2_36 @ VAR_X3_37 @ ( constr_pkey @ VAR_K_38 ) ) @ VAR_K_38 )
= ( tuple_3 @ VAR_X1_35 @ VAR_X2_36 @ VAR_X3_37 ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(635,plain,
( ( ! [VAR_K_34: $i,VAR_X1_32: $i,VAR_X2_33: $i] :
( ( constr_ecb_dec_2 @ ( constr_ecb_enc_2 @ VAR_X1_32 @ VAR_X2_33 @ ( constr_pkey @ VAR_K_34 ) ) @ VAR_K_34 )
= ( tuple_2 @ VAR_X1_32 @ VAR_X2_33 ) ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(636,plain,
( ( ! [VAR_K_31: $i,VAR_X1_30X30: $i] :
( ( constr_ecb_dec_1 @ ( constr_ecb_enc_1 @ VAR_X1_30X30 @ ( constr_pkey @ VAR_K_31 ) ) @ VAR_K_31 )
= VAR_X1_30X30 ) )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(637,plain,
( ( ! [VAR_K_29: $i,VAR_X1_26: $i,VAR_X2_27: $i,VAR_X3_28: $i,VAR_X4_0X30: $i] :
( ( constr_ecb_enc_4 @ VAR_X1_26 @ VAR_X2_27 @ VAR_X3_28 @ VAR_X4_0X30 @ VAR_K_29 )
= ( tuple_4 @ ( constr_ecb_enc_1 @ VAR_X1_26 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X2_27 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X3_28 @ VAR_K_29 ) @ ( constr_ecb_enc_1 @ VAR_X4_0X30 @ VAR_K_29 ) ) ) )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(638,plain,
( ( ! [VAR_K_25: $i,VAR_X1_23: $i,VAR_X2_24: $i,VAR_X3_0X30: $i] :
( ( constr_ecb_enc_3 @ VAR_X1_23 @ VAR_X2_24 @ VAR_X3_0X30 @ VAR_K_25 )
= ( tuple_3 @ ( constr_ecb_enc_1 @ VAR_X1_23 @ VAR_K_25 ) @ ( constr_ecb_enc_1 @ VAR_X2_24 @ VAR_K_25 ) @ ( constr_ecb_enc_1 @ VAR_X3_0X30 @ VAR_K_25 ) ) ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(639,plain,
( ( ! [VAR_K_0X30: $i,VAR_X1_21: $i,VAR_X2_22: $i] :
( ( constr_ecb_enc_2 @ VAR_X1_21 @ VAR_X2_22 @ VAR_K_0X30 )
= ( tuple_2 @ ( constr_ecb_enc_1 @ VAR_X1_21 @ VAR_K_0X30 ) @ ( constr_ecb_enc_1 @ VAR_X2_22 @ VAR_K_0X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(640,plain,
( ( ! [VAR_X0X30_18: $i,VAR_X1_19: $i,VAR_X2_20X30: $i] :
( ( constr_tuple_3_get_1_bitstring @ ( tuple_3 @ VAR_X0X30_18 @ VAR_X1_19 @ VAR_X2_20X30 ) )
= VAR_X1_19 ) )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(641,plain,
( ( ! [VAR_X0X30_16: $i,VAR_X1_17: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_16 @ VAR_X1_17 ) )
= VAR_X1_17 ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(642,plain,
( ( ! [VAR_X0X30_14: $i,VAR_X1_15: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ VAR_X0X30_14 @ VAR_X1_15 ) )
= VAR_X0X30_14 ) )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(643,plain,
( ( ! [VAR_X0X30_11: $i,VAR_X1_12: $i,VAR_X2_13: $i] :
( ( constr_tuple_3_get_2 @ ( tuple_3 @ VAR_X0X30_11 @ VAR_X1_12 @ VAR_X2_13 ) )
= VAR_X2_13 ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(644,plain,
( ( ! [VAR_X0X30_9: $i,VAR_X1_10X30: $i,VAR_X2_0X30: $i] :
( ( constr_tuple_3_get_0x30 @ ( tuple_3 @ VAR_X0X30_9 @ VAR_X1_10X30 @ VAR_X2_0X30 ) )
= VAR_X0X30_9 ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(645,plain,
( ( ! [VAR_X0X30_7: $i,VAR_X1_8: $i] :
( ( constr_tuple_2_get_1 @ ( tuple_2 @ VAR_X0X30_7 @ VAR_X1_8 ) )
= VAR_X1_8 ) )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(646,plain,
( ( ! [VAR_X0X30_0X30: $i,VAR_X1_0X30: $i] :
( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ VAR_X0X30_0X30 @ VAR_X1_0X30 ) )
= VAR_X0X30_0X30 ) )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(647,plain,
( ( ! [VAR_X_65: $i,VAR_Y_66: $i] : ( pred_eq_bitstring_bitstring @ VAR_X_65 @ VAR_Y_66 ) )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(648,plain,
( ( ! [VAR_V_72: $i] :
( ~ ( pred_attacker @ VAR_V_72 )
| ( pred_attacker @ ( constr_tuple_3_get_2 @ VAR_V_72 ) ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(649,plain,
( ( ! [VAR_V_74: $i] :
( ~ ( pred_attacker @ VAR_V_74 )
| ( pred_attacker @ ( constr_tuple_3_get_1_bitstring @ VAR_V_74 ) ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(650,plain,
( ( ! [VAR_V_76: $i] :
( ~ ( pred_attacker @ VAR_V_76 )
| ( pred_attacker @ ( constr_tuple_3_get_0x30 @ VAR_V_76 ) ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(651,plain,
( ( ! [VAR_V_78: $i] :
( ~ ( pred_attacker @ VAR_V_78 )
| ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_78 ) ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(652,plain,
( ( ! [VAR_V_80X30: $i] :
( ~ ( pred_attacker @ VAR_V_80X30 )
| ( pred_attacker @ ( constr_tuple_2_get_1 @ VAR_V_80X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(653,plain,
( ( ! [VAR_V_82: $i] :
( ~ ( pred_attacker @ VAR_V_82 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ VAR_V_82 ) ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(654,plain,
( ( ! [VAR_V_84: $i] :
( ~ ( pred_attacker @ VAR_V_84 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_84 ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(655,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(656,plain,
( ( ! [VAR_V_87: $i,VAR_V_88: $i] :
( ~ ( pred_attacker @ VAR_V_87 )
| ~ ( pred_attacker @ VAR_V_88 )
| ( pred_attacker @ ( constr_sign @ VAR_V_87 @ VAR_V_88 ) ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(657,plain,
( ( ! [VAR_V_90X30: $i] :
( ~ ( pred_attacker @ VAR_V_90X30 )
| ( pred_attacker @ ( constr_pkey @ VAR_V_90X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(658,plain,
( ( ! [VAR_V_92: $i] :
( ~ ( pred_attacker @ VAR_V_92 )
| ( pred_attacker @ ( tuple_out_3 @ VAR_V_92 ) ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(659,plain,
( ( ! [VAR_V_95: $i] :
( ~ ( pred_attacker @ ( tuple_out_3 @ VAR_V_95 ) )
| ( pred_attacker @ VAR_V_95 ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(660,plain,
( ( ! [VAR_V_98: $i] :
( ~ ( pred_attacker @ VAR_V_98 )
| ( pred_attacker @ ( tuple_out_2 @ VAR_V_98 ) ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(661,plain,
( ( ! [VAR_V_10X301: $i] :
( ~ ( pred_attacker @ ( tuple_out_2 @ VAR_V_10X301 ) )
| ( pred_attacker @ VAR_V_10X301 ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(662,plain,
( ( ! [VAR_V_10X304: $i] :
( ~ ( pred_attacker @ VAR_V_10X304 )
| ( pred_attacker @ ( tuple_out_1 @ VAR_V_10X304 ) ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(663,plain,
( ( ! [VAR_V_10X307: $i] :
( ~ ( pred_attacker @ ( tuple_out_1 @ VAR_V_10X307 ) )
| ( pred_attacker @ VAR_V_10X307 ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(664,plain,
( ( ! [VAR_V_111: $i] :
( ~ ( pred_attacker @ VAR_V_111 )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_111 ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(665,plain,
( ( ! [VAR_V_114: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_114 ) )
| ( pred_attacker @ VAR_V_114 ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(666,plain,
( ( ! [VAR_V_118: $i,VAR_V_119: $i] :
( ~ ( pred_attacker @ VAR_V_118 )
| ~ ( pred_attacker @ VAR_V_119 )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_118 @ VAR_V_119 ) ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(667,plain,
( ( ! [VAR_V_126: $i] :
( ! [VAR_V_127: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_126 @ VAR_V_127 ) )
| ( pred_attacker @ VAR_V_126 ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(668,plain,
( ( ! [VAR_V_129: $i,VAR_V_130X30: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_129 @ VAR_V_130X30 ) )
| ( pred_attacker @ VAR_V_130X30 ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(669,plain,
( ( ! [VAR_V_134: $i,VAR_V_135: $i] :
( ~ ( pred_attacker @ VAR_V_134 )
| ~ ( pred_attacker @ VAR_V_135 )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_134 @ VAR_V_135 ) ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(670,plain,
( ( ! [VAR_V_142: $i] :
( ! [VAR_V_143: $i] :
~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_142 @ VAR_V_143 ) )
| ( pred_attacker @ VAR_V_142 ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(671,plain,
( ( ! [VAR_V_145: $i,VAR_V_146: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_145 @ VAR_V_146 ) )
| ( pred_attacker @ VAR_V_146 ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(672,plain,
( ( ! [VAR_V_149: $i] :
( ~ ( pred_attacker @ VAR_V_149 )
| ( pred_attacker @ ( constr_getmess @ VAR_V_149 ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(673,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(674,plain,
( ( ! [VAR_V_152: $i,VAR_V_153: $i] :
( ~ ( pred_attacker @ VAR_V_152 )
| ~ ( pred_attacker @ VAR_V_153 )
| ( pred_attacker @ ( constr_enc @ VAR_V_152 @ VAR_V_153 ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(675,plain,
( ( ! [VAR_V_159: $i,VAR_V_160X30: $i,VAR_V_161: $i,VAR_V_162: $i,VAR_V_163: $i] :
( ~ ( pred_attacker @ VAR_V_159 )
| ~ ( pred_attacker @ VAR_V_160X30 )
| ~ ( pred_attacker @ VAR_V_161 )
| ~ ( pred_attacker @ VAR_V_162 )
| ~ ( pred_attacker @ VAR_V_163 )
| ( pred_attacker @ ( constr_ecb_enc_4 @ VAR_V_159 @ VAR_V_160X30 @ VAR_V_161 @ VAR_V_162 @ VAR_V_163 ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(676,plain,
( ( ! [VAR_V_168: $i,VAR_V_169: $i,VAR_V_170X30: $i,VAR_V_171: $i] :
( ~ ( pred_attacker @ VAR_V_168 )
| ~ ( pred_attacker @ VAR_V_169 )
| ~ ( pred_attacker @ VAR_V_170X30 )
| ~ ( pred_attacker @ VAR_V_171 )
| ( pred_attacker @ ( constr_ecb_enc_3 @ VAR_V_168 @ VAR_V_169 @ VAR_V_170X30 @ VAR_V_171 ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(677,plain,
( ( ! [VAR_V_175: $i,VAR_V_176: $i,VAR_V_177: $i] :
( ~ ( pred_attacker @ VAR_V_175 )
| ~ ( pred_attacker @ VAR_V_176 )
| ~ ( pred_attacker @ VAR_V_177 )
| ( pred_attacker @ ( constr_ecb_enc_2 @ VAR_V_175 @ VAR_V_176 @ VAR_V_177 ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(678,plain,
( ( ! [VAR_V_180X30: $i,VAR_V_181: $i] :
( ~ ( pred_attacker @ VAR_V_180X30 )
| ~ ( pred_attacker @ VAR_V_181 )
| ( pred_attacker @ ( constr_ecb_enc_1 @ VAR_V_180X30 @ VAR_V_181 ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(679,plain,
( ( ! [VAR_V_184: $i,VAR_V_185: $i] :
( ~ ( pred_attacker @ VAR_V_184 )
| ~ ( pred_attacker @ VAR_V_185 )
| ( pred_attacker @ ( constr_ecb_dec_4 @ VAR_V_184 @ VAR_V_185 ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(680,plain,
( ( ! [VAR_V_188: $i,VAR_V_189: $i] :
( ~ ( pred_attacker @ VAR_V_188 )
| ~ ( pred_attacker @ VAR_V_189 )
| ( pred_attacker @ ( constr_ecb_dec_3 @ VAR_V_188 @ VAR_V_189 ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(681,plain,
( ( ! [VAR_V_192: $i,VAR_V_193: $i] :
( ~ ( pred_attacker @ VAR_V_192 )
| ~ ( pred_attacker @ VAR_V_193 )
| ( pred_attacker @ ( constr_ecb_dec_2 @ VAR_V_192 @ VAR_V_193 ) ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(682,plain,
( ( ! [VAR_V_196: $i,VAR_V_197: $i] :
( ~ ( pred_attacker @ VAR_V_196 )
| ~ ( pred_attacker @ VAR_V_197 )
| ( pred_attacker @ ( constr_ecb_dec_1 @ VAR_V_196 @ VAR_V_197 ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(683,plain,
( ( ! [VAR_V_20X300X30: $i,VAR_V_20X301: $i] :
( ~ ( pred_attacker @ VAR_V_20X300X30 )
| ~ ( pred_attacker @ VAR_V_20X301 )
| ( pred_attacker @ ( constr_dec @ VAR_V_20X300X30 @ VAR_V_20X301 ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(684,plain,
( ( ! [VAR_V_20X303: $i] :
( ~ ( pred_attacker @ VAR_V_20X303 )
| ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X303 ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(685,plain,
( ( ! [VAR_V_20X306: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X306 ) )
| ( pred_attacker @ VAR_V_20X306 ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(686,plain,
( ( ! [VAR_V_20X309: $i] :
( ~ ( pred_attacker @ VAR_V_20X309 )
| ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_20X309 ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(687,plain,
( ( ! [VAR_V_212: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_212 ) )
| ( pred_attacker @ VAR_V_212 ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(688,plain,
( ( ! [VAR_V_216: $i,VAR_V_217: $i] :
( ~ ( pred_attacker @ VAR_V_216 )
| ~ ( pred_attacker @ VAR_V_217 )
| ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_216 @ VAR_V_217 ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(689,plain,
( ( ! [VAR_V_224: $i] :
( ! [VAR_V_225: $i] :
~ ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_224 @ VAR_V_225 ) )
| ( pred_attacker @ VAR_V_224 ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(690,plain,
( ( ! [VAR_V_227: $i,VAR_V_228: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_227 @ VAR_V_228 ) )
| ( pred_attacker @ VAR_V_228 ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(691,plain,
( ( ! [VAR_V_231: $i] :
( ~ ( pred_attacker @ VAR_V_231 )
| ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_231 ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(692,plain,
( ( ! [VAR_V_234: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_234 ) )
| ( pred_attacker @ VAR_V_234 ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(693,plain,
( ( ! [VAR_V_237: $i] :
( ~ ( pred_attacker @ VAR_V_237 )
| ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_237 ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(694,plain,
( ( ! [VAR_V_240X30: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_240X30 ) )
| ( pred_attacker @ VAR_V_240X30 ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(695,plain,
( ( ! [VAR_V_243: $i] :
( ~ ( pred_attacker @ VAR_V_243 )
| ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_243 ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(696,plain,
( ( ! [VAR_V_246: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_246 ) )
| ( pred_attacker @ VAR_V_246 ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(697,plain,
( ( ! [VAR_V_249: $i] :
( ~ ( pred_attacker @ VAR_V_249 )
| ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_249 ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(698,plain,
( ( ! [VAR_V_252: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_252 ) )
| ( pred_attacker @ VAR_V_252 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(699,plain,
( ( ! [VAR_V_255: $i] :
( ~ ( pred_attacker @ VAR_V_255 )
| ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_255 ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(700,plain,
( ( ! [VAR_V_258: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_258 ) )
| ( pred_attacker @ VAR_V_258 ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(701,plain,
( ( ! [VAR_V_262: $i,VAR_V_263: $i] :
( ~ ( pred_attacker @ VAR_V_262 )
| ~ ( pred_attacker @ VAR_V_263 )
| ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_262 @ VAR_V_263 ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(702,plain,
( ( ! [VAR_V_270X30: $i] :
( ! [VAR_V_271: $i] :
~ ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_270X30 @ VAR_V_271 ) )
| ( pred_attacker @ VAR_V_270X30 ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(703,plain,
( ( ! [VAR_V_273: $i,VAR_V_274: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_273 @ VAR_V_274 ) )
| ( pred_attacker @ VAR_V_274 ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(704,plain,
( ( ! [VAR_V_277: $i] :
( ~ ( pred_attacker @ VAR_V_277 )
| ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_277 ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(705,plain,
( ( ! [VAR_V_280X30: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_280X30 ) )
| ( pred_attacker @ VAR_V_280X30 ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(706,plain,
( ( ! [VAR_V_283: $i] :
( ~ ( pred_attacker @ VAR_V_283 )
| ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_283 ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(707,plain,
( ( ! [VAR_V_286: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_286 ) )
| ( pred_attacker @ VAR_V_286 ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(708,plain,
( ( ! [VAR_V_290X30: $i,VAR_V_291: $i] :
( ~ ( pred_attacker @ VAR_V_290X30 )
| ~ ( pred_attacker @ VAR_V_291 )
| ( pred_attacker @ ( constr_checksign @ VAR_V_290X30 @ VAR_V_291 ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(709,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(710,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(711,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(712,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(713,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(714,plain,
( ( ! [VAR_V_30X300X30: $i,VAR_V_30X301: $i,VAR_V_30X302: $i,VAR_V_30X303: $i] :
( ~ ( pred_attacker @ VAR_V_30X300X30 )
| ~ ( pred_attacker @ VAR_V_30X301 )
| ~ ( pred_attacker @ VAR_V_30X302 )
| ~ ( pred_attacker @ VAR_V_30X303 )
| ( pred_attacker @ ( tuple_4 @ VAR_V_30X300X30 @ VAR_V_30X301 @ VAR_V_30X302 @ VAR_V_30X303 ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(715,plain,
( ( ! [VAR_V_324: $i,VAR_V_325: $i] :
( ! [VAR_V_326: $i,VAR_V_327: $i] :
~ ( pred_attacker @ ( tuple_4 @ VAR_V_324 @ VAR_V_325 @ VAR_V_326 @ VAR_V_327 ) )
| ( pred_attacker @ VAR_V_324 ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(716,plain,
( ( ! [VAR_V_329: $i,VAR_V_330X30: $i] :
( ! [VAR_V_331: $i,VAR_V_332: $i] :
~ ( pred_attacker @ ( tuple_4 @ VAR_V_329 @ VAR_V_330X30 @ VAR_V_331 @ VAR_V_332 ) )
| ( pred_attacker @ VAR_V_330X30 ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(717,plain,
( ( ! [VAR_V_334: $i,VAR_V_335: $i,VAR_V_336: $i] :
( ! [VAR_V_337: $i] :
~ ( pred_attacker @ ( tuple_4 @ VAR_V_334 @ VAR_V_335 @ VAR_V_336 @ VAR_V_337 ) )
| ( pred_attacker @ VAR_V_336 ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(718,plain,
( ( ! [VAR_V_339: $i,VAR_V_340X30: $i,VAR_V_341: $i,VAR_V_342: $i] :
( ~ ( pred_attacker @ ( tuple_4 @ VAR_V_339 @ VAR_V_340X30 @ VAR_V_341 @ VAR_V_342 ) )
| ( pred_attacker @ VAR_V_342 ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(719,plain,
( ( ! [VAR_V_347: $i,VAR_V_348: $i,VAR_V_349: $i] :
( ~ ( pred_attacker @ VAR_V_347 )
| ~ ( pred_attacker @ VAR_V_348 )
| ~ ( pred_attacker @ VAR_V_349 )
| ( pred_attacker @ ( tuple_3 @ VAR_V_347 @ VAR_V_348 @ VAR_V_349 ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(720,plain,
( ( ! [VAR_V_362: $i] :
( ! [VAR_V_363: $i,VAR_V_364: $i] :
~ ( pred_attacker @ ( tuple_3 @ VAR_V_362 @ VAR_V_363 @ VAR_V_364 ) )
| ( pred_attacker @ VAR_V_362 ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(721,plain,
( ( ! [VAR_V_366: $i,VAR_V_367: $i] :
( ! [VAR_V_368: $i] :
~ ( pred_attacker @ ( tuple_3 @ VAR_V_366 @ VAR_V_367 @ VAR_V_368 ) )
| ( pred_attacker @ VAR_V_367 ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(722,plain,
( ( ! [VAR_V_370X30: $i,VAR_V_371: $i,VAR_V_372: $i] :
( ~ ( pred_attacker @ ( tuple_3 @ VAR_V_370X30 @ VAR_V_371 @ VAR_V_372 ) )
| ( pred_attacker @ VAR_V_372 ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(723,plain,
( ( ! [VAR_V_376: $i,VAR_V_377: $i] :
( ~ ( pred_attacker @ VAR_V_376 )
| ~ ( pred_attacker @ VAR_V_377 )
| ( pred_attacker @ ( tuple_2 @ VAR_V_376 @ VAR_V_377 ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(724,plain,
( ( ! [VAR_V_384: $i] :
( ! [VAR_V_385: $i] :
~ ( pred_attacker @ ( tuple_2 @ VAR_V_384 @ VAR_V_385 ) )
| ( pred_attacker @ VAR_V_384 ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(725,plain,
( ( ! [VAR_V_387: $i,VAR_V_388: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ VAR_V_387 @ VAR_V_388 ) )
| ( pred_attacker @ VAR_V_388 ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(726,plain,
( ( ! [VAR_V_390X30: $i] :
( ! [VAR_V_391: $i] :
( ~ ( pred_attacker @ VAR_V_391 )
| ~ ( pred_mess @ VAR_V_391 @ VAR_V_390X30 ) )
| ( pred_attacker @ VAR_V_390X30 ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(727,plain,
( ( ! [VAR_V_392: $i,VAR_V_393: $i] :
( ~ ( pred_attacker @ VAR_V_393 )
| ~ ( pred_attacker @ VAR_V_392 )
| ( pred_mess @ VAR_V_393 @ VAR_V_392 ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(728,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(729,plain,
( ( pred_attacker @ name_I )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(730,plain,
( ( pred_attacker @ name_B )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(731,plain,
( ( pred_attacker @ name_A )
= $true ),
inference(copy,[status(thm)],[214]) ).
thf(732,plain,
( ( ! [VAR_V_395: $i] : ( pred_equal @ VAR_V_395 @ VAR_V_395 ) )
= $true ),
inference(copy,[status(thm)],[213]) ).
thf(733,plain,
( ( ! [VAR_V_396: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_396 ) ) )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(734,plain,
( ( pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(735,plain,
( ( pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(736,plain,
( ( pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(copy,[status(thm)],[209]) ).
thf(737,plain,
( ( pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(copy,[status(thm)],[208]) ).
thf(738,plain,
( ( pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ) )
= $true ),
inference(copy,[status(thm)],[207]) ).
thf(739,plain,
( ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ) )
= $true ),
inference(copy,[status(thm)],[206]) ).
thf(740,plain,
( ( ! [VAR_0X40SID_512: $i,VAR_SIGN_I_PKI_511: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_511 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_511 @ ( constr_pkey @ name_skS ) ) ) )
| ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ VAR_0X40SID_512 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_511 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(741,plain,
( ( ! [VAR_0X40SID_577: $i,VAR_ECB_ENC_NA_NI_I_576: $i,VAR_SIGN_I_PKI_578: $i] :
( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_577 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_ECB_ENC_NA_NI_I_576 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_578 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_578 ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ VAR_ECB_ENC_NA_NI_I_576 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_578 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(742,plain,
( ( pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(743,plain,
( ( ! [VAR_0X40SID_687: $i,VAR_ECB_ENC_NA_A_685: $i,VAR_SIGN_A_PKA_686: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_685 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_685 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_686 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_686 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_685 @ name_skB ) ) @ ( name_Nb @ VAR_0X40SID_687 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_686 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(744,plain,
( ( ! [VAR_0X40SID_717: $i,VAR_ECB_ENC_NA_A_719: $i] :
( ! [VAR_ECB_ENC_NB_718: $i,VAR_SIGN_A_PKA_720X30: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_ECB_ENC_NB_718 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_717 ) @ ( constr_ecb_dec_1 @ VAR_ECB_ENC_NB_718 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_719 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_719 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_720X30 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_720X30 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(745,plain,
( ( ! [VAR_DST_759: $i,VAR_PKDST_760X30: $i] :
( ! [VAR_SRC_761: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_SRC_761 @ VAR_DST_759 ) )
| ~ ( pred_table @ ( tuple_keys @ VAR_DST_759 @ VAR_PKDST_760X30 ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ VAR_DST_759 @ VAR_PKDST_760X30 ) @ name_skS ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(746,plain,
( ( ! [VAR_HOST_813: $i,VAR_PK_814: $i] :
( ( VAR_HOST_813 = name_B )
| ( VAR_HOST_813 = name_A )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_HOST_813 @ VAR_PK_814 ) )
| ( pred_table @ ( tuple_keys @ VAR_HOST_813 @ VAR_PK_814 ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(747,plain,
( ( ~ ( pred_attacker @ name_objective ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(748,plain,
( ( constr_CONST_0x30 = constr_CONST_1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(749,plain,
( ( constr_CONST_0x30 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(750,plain,
( ( constr_CONST_0x30 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(751,plain,
( ( constr_CONST_0x30 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(752,plain,
( ( constr_CONST_0x30 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(753,plain,
( ( constr_CONST_0x30 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(754,plain,
( ( constr_CONST_0x30 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(755,plain,
( ( constr_CONST_0x30 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(756,plain,
( ( constr_CONST_0x30 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(757,plain,
( ( constr_CONST_0x30 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(758,plain,
( ( constr_CONST_0x30 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(759,plain,
( ( constr_CONST_0x30 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(760,plain,
( ( constr_CONST_1 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(761,plain,
( ( constr_CONST_1 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(762,plain,
( ( constr_CONST_1 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(763,plain,
( ( constr_CONST_1 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(764,plain,
( ( constr_CONST_1 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(765,plain,
( ( constr_CONST_1 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(766,plain,
( ( constr_CONST_1 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(767,plain,
( ( constr_CONST_1 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(768,plain,
( ( constr_CONST_1 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(769,plain,
( ( constr_CONST_1 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(770,plain,
( ( constr_CONST_1 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(771,plain,
( ( constr_CONST_2 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(772,plain,
( ( constr_CONST_2 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(773,plain,
( ( constr_CONST_2 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(774,plain,
( ( constr_CONST_2 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(775,plain,
( ( constr_CONST_2 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(776,plain,
( ( constr_CONST_2 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(777,plain,
( ( constr_CONST_2 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(778,plain,
( ( constr_CONST_2 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(779,plain,
( ( constr_CONST_2 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(780,plain,
( ( constr_CONST_2 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(781,plain,
( ( constr_CONST_3 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(782,plain,
( ( constr_CONST_3 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(783,plain,
( ( constr_CONST_3 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(784,plain,
( ( constr_CONST_3 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(785,plain,
( ( constr_CONST_3 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(786,plain,
( ( constr_CONST_3 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(787,plain,
( ( constr_CONST_3 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(788,plain,
( ( constr_CONST_3 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(789,plain,
( ( constr_CONST_3 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(790,plain,
( ( constr_CONST_4 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(791,plain,
( ( constr_CONST_4 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(792,plain,
( ( constr_CONST_4 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(793,plain,
( ( constr_CONST_4 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(794,plain,
( ( constr_CONST_4 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(795,plain,
( ( constr_CONST_4 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(796,plain,
( ( constr_CONST_4 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(797,plain,
( ( constr_CONST_4 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(798,plain,
( ( name_A = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(799,plain,
( ( name_A = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(800,plain,
( ( name_A = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(801,plain,
( ( name_A = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(802,plain,
( ( name_A = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(803,plain,
( ( name_A = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(804,plain,
( ( name_A = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(805,plain,
( ( name_B = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(806,plain,
( ( name_B = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(807,plain,
( ( name_B = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(808,plain,
( ( name_B = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(809,plain,
( ( name_B = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(810,plain,
( ( name_B = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(811,plain,
( ( name_I = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(812,plain,
( ( name_I = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(813,plain,
( ( name_I = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(814,plain,
( ( name_I = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(815,plain,
( ( name_I = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(816,plain,
( ( name_c = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(817,plain,
( ( name_c = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(818,plain,
( ( name_c = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(819,plain,
( ( name_c = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(820,plain,
( ( name_objective = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(821,plain,
( ( name_objective = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(822,plain,
( ( name_objective = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(823,plain,
( ( name_skA = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(824,plain,
( ( name_skA = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(825,plain,
( ( name_skB = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(826,plain,
! [SV1: $i] :
( ( ! [SY201: $i] :
( ( constr_dec @ ( constr_enc @ SY201 @ SV1 ) @ SV1 )
= SY201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(827,plain,
! [SV2: $i] :
( ( ! [SY202: $i] :
( ( constr_getmess @ ( constr_sign @ SY202 @ SV2 ) )
= SY202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(828,plain,
! [SV3: $i] :
( ( ! [SY203: $i] :
( ( constr_checksign @ ( constr_sign @ SY203 @ SV3 ) @ ( constr_pkey @ SV3 ) )
= SY203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(829,plain,
! [SV4: $i] :
( ( ! [SY204: $i,SY205: $i,SY206: $i,SY207: $i] :
( ( constr_ecb_dec_4 @ ( constr_ecb_enc_4 @ SY204 @ SY205 @ SY206 @ SY207 @ ( constr_pkey @ SV4 ) ) @ SV4 )
= ( tuple_4 @ SY204 @ SY205 @ SY206 @ SY207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(830,plain,
! [SV5: $i] :
( ( ! [SY208: $i,SY209: $i,SY210: $i] :
( ( constr_ecb_dec_3 @ ( constr_ecb_enc_3 @ SY208 @ SY209 @ SY210 @ ( constr_pkey @ SV5 ) ) @ SV5 )
= ( tuple_3 @ SY208 @ SY209 @ SY210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(831,plain,
! [SV6: $i] :
( ( ! [SY211: $i,SY212: $i] :
( ( constr_ecb_dec_2 @ ( constr_ecb_enc_2 @ SY211 @ SY212 @ ( constr_pkey @ SV6 ) ) @ SV6 )
= ( tuple_2 @ SY211 @ SY212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(832,plain,
! [SV7: $i] :
( ( ! [SY213: $i] :
( ( constr_ecb_dec_1 @ ( constr_ecb_enc_1 @ SY213 @ ( constr_pkey @ SV7 ) ) @ SV7 )
= SY213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(833,plain,
! [SV8: $i] :
( ( ! [SY214: $i,SY215: $i,SY216: $i,SY217: $i] :
( ( constr_ecb_enc_4 @ SY214 @ SY215 @ SY216 @ SY217 @ SV8 )
= ( tuple_4 @ ( constr_ecb_enc_1 @ SY214 @ SV8 ) @ ( constr_ecb_enc_1 @ SY215 @ SV8 ) @ ( constr_ecb_enc_1 @ SY216 @ SV8 ) @ ( constr_ecb_enc_1 @ SY217 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(834,plain,
! [SV9: $i] :
( ( ! [SY218: $i,SY219: $i,SY220: $i] :
( ( constr_ecb_enc_3 @ SY218 @ SY219 @ SY220 @ SV9 )
= ( tuple_3 @ ( constr_ecb_enc_1 @ SY218 @ SV9 ) @ ( constr_ecb_enc_1 @ SY219 @ SV9 ) @ ( constr_ecb_enc_1 @ SY220 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(835,plain,
! [SV10: $i] :
( ( ! [SY221: $i,SY222: $i] :
( ( constr_ecb_enc_2 @ SY221 @ SY222 @ SV10 )
= ( tuple_2 @ ( constr_ecb_enc_1 @ SY221 @ SV10 ) @ ( constr_ecb_enc_1 @ SY222 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(836,plain,
! [SV11: $i] :
( ( ! [SY223: $i,SY224: $i] :
( ( constr_tuple_3_get_1_bitstring @ ( tuple_3 @ SV11 @ SY223 @ SY224 ) )
= SY223 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(837,plain,
! [SV12: $i] :
( ( ! [SY225: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ SV12 @ SY225 ) )
= SY225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(838,plain,
! [SV13: $i] :
( ( ! [SY226: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ SV13 @ SY226 ) )
= SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(839,plain,
! [SV14: $i] :
( ( ! [SY227: $i,SY228: $i] :
( ( constr_tuple_3_get_2 @ ( tuple_3 @ SV14 @ SY227 @ SY228 ) )
= SY228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(840,plain,
! [SV15: $i] :
( ( ! [SY229: $i,SY230: $i] :
( ( constr_tuple_3_get_0x30 @ ( tuple_3 @ SV15 @ SY229 @ SY230 ) )
= SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(841,plain,
! [SV16: $i] :
( ( ! [SY231: $i] :
( ( constr_tuple_2_get_1 @ ( tuple_2 @ SV16 @ SY231 ) )
= SY231 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(842,plain,
! [SV17: $i] :
( ( ! [SY232: $i] :
( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ SV17 @ SY232 ) )
= SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(843,plain,
! [SV18: $i] :
( ( ! [SY233: $i] : ( pred_eq_bitstring_bitstring @ SV18 @ SY233 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(844,plain,
! [SV19: $i] :
( ( ~ ( pred_attacker @ SV19 )
| ( pred_attacker @ ( constr_tuple_3_get_2 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(845,plain,
! [SV20: $i] :
( ( ~ ( pred_attacker @ SV20 )
| ( pred_attacker @ ( constr_tuple_3_get_1_bitstring @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(846,plain,
! [SV21: $i] :
( ( ~ ( pred_attacker @ SV21 )
| ( pred_attacker @ ( constr_tuple_3_get_0x30 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(847,plain,
! [SV22: $i] :
( ( ~ ( pred_attacker @ SV22 )
| ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(848,plain,
! [SV23: $i] :
( ( ~ ( pred_attacker @ SV23 )
| ( pred_attacker @ ( constr_tuple_2_get_1 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(849,plain,
! [SV24: $i] :
( ( ~ ( pred_attacker @ SV24 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(850,plain,
! [SV25: $i] :
( ( ~ ( pred_attacker @ SV25 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(851,plain,
! [SV26: $i] :
( ( ! [SY234: $i] :
( ~ ( pred_attacker @ SV26 )
| ~ ( pred_attacker @ SY234 )
| ( pred_attacker @ ( constr_sign @ SV26 @ SY234 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(852,plain,
! [SV27: $i] :
( ( ~ ( pred_attacker @ SV27 )
| ( pred_attacker @ ( constr_pkey @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(853,plain,
! [SV28: $i] :
( ( ~ ( pred_attacker @ SV28 )
| ( pred_attacker @ ( tuple_out_3 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(854,plain,
! [SV29: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_3 @ SV29 ) )
| ( pred_attacker @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(855,plain,
! [SV30: $i] :
( ( ~ ( pred_attacker @ SV30 )
| ( pred_attacker @ ( tuple_out_2 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(856,plain,
! [SV31: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_2 @ SV31 ) )
| ( pred_attacker @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(857,plain,
! [SV32: $i] :
( ( ~ ( pred_attacker @ SV32 )
| ( pred_attacker @ ( tuple_out_1 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(858,plain,
! [SV33: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_1 @ SV33 ) )
| ( pred_attacker @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(859,plain,
! [SV34: $i] :
( ( ~ ( pred_attacker @ SV34 )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(860,plain,
! [SV35: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV35 ) )
| ( pred_attacker @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(861,plain,
! [SV36: $i] :
( ( ! [SY235: $i] :
( ~ ( pred_attacker @ SV36 )
| ~ ( pred_attacker @ SY235 )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV36 @ SY235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(862,plain,
! [SV37: $i] :
( ( ! [SY236: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV37 @ SY236 ) )
| ( pred_attacker @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(863,plain,
! [SV38: $i] :
( ( ! [SY237: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV38 @ SY237 ) )
| ( pred_attacker @ SY237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(864,plain,
! [SV39: $i] :
( ( ! [SY238: $i] :
( ~ ( pred_attacker @ SV39 )
| ~ ( pred_attacker @ SY238 )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV39 @ SY238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(865,plain,
! [SV40: $i] :
( ( ! [SY239: $i] :
~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV40 @ SY239 ) )
| ( pred_attacker @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(866,plain,
! [SV41: $i] :
( ( ! [SY240: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV41 @ SY240 ) )
| ( pred_attacker @ SY240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(867,plain,
! [SV42: $i] :
( ( ~ ( pred_attacker @ SV42 )
| ( pred_attacker @ ( constr_getmess @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(868,plain,
! [SV43: $i] :
( ( ! [SY241: $i] :
( ~ ( pred_attacker @ SV43 )
| ~ ( pred_attacker @ SY241 )
| ( pred_attacker @ ( constr_enc @ SV43 @ SY241 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(869,plain,
! [SV44: $i] :
( ( ! [SY242: $i,SY243: $i,SY244: $i,SY245: $i] :
( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SY242 )
| ~ ( pred_attacker @ SY243 )
| ~ ( pred_attacker @ SY244 )
| ~ ( pred_attacker @ SY245 )
| ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SY242 @ SY243 @ SY244 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(870,plain,
! [SV45: $i] :
( ( ! [SY246: $i,SY247: $i,SY248: $i] :
( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SY246 )
| ~ ( pred_attacker @ SY247 )
| ~ ( pred_attacker @ SY248 )
| ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SY246 @ SY247 @ SY248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(871,plain,
! [SV46: $i] :
( ( ! [SY249: $i,SY250: $i] :
( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SY249 )
| ~ ( pred_attacker @ SY250 )
| ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SY249 @ SY250 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(872,plain,
! [SV47: $i] :
( ( ! [SY251: $i] :
( ~ ( pred_attacker @ SV47 )
| ~ ( pred_attacker @ SY251 )
| ( pred_attacker @ ( constr_ecb_enc_1 @ SV47 @ SY251 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(873,plain,
! [SV48: $i] :
( ( ! [SY252: $i] :
( ~ ( pred_attacker @ SV48 )
| ~ ( pred_attacker @ SY252 )
| ( pred_attacker @ ( constr_ecb_dec_4 @ SV48 @ SY252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(874,plain,
! [SV49: $i] :
( ( ! [SY253: $i] :
( ~ ( pred_attacker @ SV49 )
| ~ ( pred_attacker @ SY253 )
| ( pred_attacker @ ( constr_ecb_dec_3 @ SV49 @ SY253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(875,plain,
! [SV50: $i] :
( ( ! [SY254: $i] :
( ~ ( pred_attacker @ SV50 )
| ~ ( pred_attacker @ SY254 )
| ( pred_attacker @ ( constr_ecb_dec_2 @ SV50 @ SY254 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(876,plain,
! [SV51: $i] :
( ( ! [SY255: $i] :
( ~ ( pred_attacker @ SV51 )
| ~ ( pred_attacker @ SY255 )
| ( pred_attacker @ ( constr_ecb_dec_1 @ SV51 @ SY255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(877,plain,
! [SV52: $i] :
( ( ! [SY256: $i] :
( ~ ( pred_attacker @ SV52 )
| ~ ( pred_attacker @ SY256 )
| ( pred_attacker @ ( constr_dec @ SV52 @ SY256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(878,plain,
! [SV53: $i] :
( ( ~ ( pred_attacker @ SV53 )
| ( pred_attacker @ ( tuple_client_B_out_6 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(879,plain,
! [SV54: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ SV54 ) )
| ( pred_attacker @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(880,plain,
! [SV55: $i] :
( ( ~ ( pred_attacker @ SV55 )
| ( pred_attacker @ ( tuple_client_B_out_4 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(881,plain,
! [SV56: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ SV56 ) )
| ( pred_attacker @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(882,plain,
! [SV57: $i] :
( ( ! [SY257: $i] :
( ~ ( pred_attacker @ SV57 )
| ~ ( pred_attacker @ SY257 )
| ( pred_attacker @ ( tuple_client_B_out_1 @ SV57 @ SY257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(883,plain,
! [SV58: $i] :
( ( ! [SY258: $i] :
~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV58 @ SY258 ) )
| ( pred_attacker @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(884,plain,
! [SV59: $i] :
( ( ! [SY259: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SY259 ) )
| ( pred_attacker @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(885,plain,
! [SV60: $i] :
( ( ~ ( pred_attacker @ SV60 )
| ( pred_attacker @ ( tuple_client_B_in_5 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(886,plain,
! [SV61: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV61 ) )
| ( pred_attacker @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(887,plain,
! [SV62: $i] :
( ( ~ ( pred_attacker @ SV62 )
| ( pred_attacker @ ( tuple_client_B_in_3 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(888,plain,
! [SV63: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV63 ) )
| ( pred_attacker @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(889,plain,
! [SV64: $i] :
( ( ~ ( pred_attacker @ SV64 )
| ( pred_attacker @ ( tuple_client_B_in_2 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(890,plain,
! [SV65: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV65 ) )
| ( pred_attacker @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(891,plain,
! [SV66: $i] :
( ( ~ ( pred_attacker @ SV66 )
| ( pred_attacker @ ( tuple_client_A_out_5 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(892,plain,
! [SV67: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ SV67 ) )
| ( pred_attacker @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(893,plain,
! [SV68: $i] :
( ( ~ ( pred_attacker @ SV68 )
| ( pred_attacker @ ( tuple_client_A_out_3 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(894,plain,
! [SV69: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ SV69 ) )
| ( pred_attacker @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(895,plain,
! [SV70: $i] :
( ( ! [SY260: $i] :
( ~ ( pred_attacker @ SV70 )
| ~ ( pred_attacker @ SY260 )
| ( pred_attacker @ ( tuple_client_A_out_1 @ SV70 @ SY260 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(896,plain,
! [SV71: $i] :
( ( ! [SY261: $i] :
~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV71 @ SY261 ) )
| ( pred_attacker @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(897,plain,
! [SV72: $i] :
( ( ! [SY262: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV72 @ SY262 ) )
| ( pred_attacker @ SY262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(898,plain,
! [SV73: $i] :
( ( ~ ( pred_attacker @ SV73 )
| ( pred_attacker @ ( tuple_client_A_in_4 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(899,plain,
! [SV74: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV74 ) )
| ( pred_attacker @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(900,plain,
! [SV75: $i] :
( ( ~ ( pred_attacker @ SV75 )
| ( pred_attacker @ ( tuple_client_A_in_2 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(901,plain,
! [SV76: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV76 ) )
| ( pred_attacker @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(902,plain,
! [SV77: $i] :
( ( ! [SY263: $i] :
( ~ ( pred_attacker @ SV77 )
| ~ ( pred_attacker @ SY263 )
| ( pred_attacker @ ( constr_checksign @ SV77 @ SY263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(903,plain,
! [SV78: $i] :
( ( ! [SY264: $i,SY265: $i,SY266: $i] :
( ~ ( pred_attacker @ SV78 )
| ~ ( pred_attacker @ SY264 )
| ~ ( pred_attacker @ SY265 )
| ~ ( pred_attacker @ SY266 )
| ( pred_attacker @ ( tuple_4 @ SV78 @ SY264 @ SY265 @ SY266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(904,plain,
! [SV79: $i] :
( ( ! [SY267: $i] :
( ! [SY268: $i,SY269: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV79 @ SY267 @ SY268 @ SY269 ) )
| ( pred_attacker @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(905,plain,
! [SV80: $i] :
( ( ! [SY270: $i] :
( ! [SY271: $i,SY272: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV80 @ SY270 @ SY271 @ SY272 ) )
| ( pred_attacker @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(906,plain,
! [SV81: $i] :
( ( ! [SY273: $i,SY274: $i] :
( ! [SY275: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV81 @ SY273 @ SY274 @ SY275 ) )
| ( pred_attacker @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(907,plain,
! [SV82: $i] :
( ( ! [SY276: $i,SY277: $i,SY278: $i] :
( ~ ( pred_attacker @ ( tuple_4 @ SV82 @ SY276 @ SY277 @ SY278 ) )
| ( pred_attacker @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(908,plain,
! [SV83: $i] :
( ( ! [SY279: $i,SY280: $i] :
( ~ ( pred_attacker @ SV83 )
| ~ ( pred_attacker @ SY279 )
| ~ ( pred_attacker @ SY280 )
| ( pred_attacker @ ( tuple_3 @ SV83 @ SY279 @ SY280 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(909,plain,
! [SV84: $i] :
( ( ! [SY281: $i,SY282: $i] :
~ ( pred_attacker @ ( tuple_3 @ SV84 @ SY281 @ SY282 ) )
| ( pred_attacker @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(910,plain,
! [SV85: $i] :
( ( ! [SY283: $i] :
( ! [SY284: $i] :
~ ( pred_attacker @ ( tuple_3 @ SV85 @ SY283 @ SY284 ) )
| ( pred_attacker @ SY283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(911,plain,
! [SV86: $i] :
( ( ! [SY285: $i,SY286: $i] :
( ~ ( pred_attacker @ ( tuple_3 @ SV86 @ SY285 @ SY286 ) )
| ( pred_attacker @ SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(912,plain,
! [SV87: $i] :
( ( ! [SY287: $i] :
( ~ ( pred_attacker @ SV87 )
| ~ ( pred_attacker @ SY287 )
| ( pred_attacker @ ( tuple_2 @ SV87 @ SY287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(913,plain,
! [SV88: $i] :
( ( ! [SY288: $i] :
~ ( pred_attacker @ ( tuple_2 @ SV88 @ SY288 ) )
| ( pred_attacker @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(914,plain,
! [SV89: $i] :
( ( ! [SY289: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ SV89 @ SY289 ) )
| ( pred_attacker @ SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(915,plain,
! [SV90: $i] :
( ( ! [SY290: $i] :
( ~ ( pred_attacker @ SY290 )
| ~ ( pred_mess @ SY290 @ SV90 ) )
| ( pred_attacker @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(916,plain,
! [SV91: $i] :
( ( ! [SY291: $i] :
( ~ ( pred_attacker @ SY291 )
| ~ ( pred_attacker @ SV91 )
| ( pred_mess @ SY291 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(917,plain,
! [SV92: $i] :
( ( pred_equal @ SV92 @ SV92 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(918,plain,
! [SV93: $i] :
( ( pred_attacker @ ( name_new0x2Dname @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(919,plain,
! [SV94: $i] :
( ( ! [SY292: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SY292 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY292 @ ( constr_pkey @ name_skS ) ) ) )
| ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ SV94 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY292 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(920,plain,
! [SV95: $i] :
( ( ! [SY293: $i,SY294: $i] :
( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SY293 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SY293 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SY293 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY294 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SY294 ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SY293 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY294 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(921,plain,
! [SV96: $i] :
( ( ! [SY295: $i,SY296: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SY295 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SY295 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY296 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY296 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SY295 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY296 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(922,plain,
! [SV97: $i] :
( ( ! [SY297: $i] :
( ! [SY298: $i,SY299: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SY298 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SY298 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SY297 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SY297 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY299 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY299 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(923,plain,
! [SV98: $i] :
( ( ! [SY300: $i] :
( ! [SY301: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SY301 @ SV98 ) )
| ~ ( pred_table @ ( tuple_keys @ SV98 @ SY300 ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV98 @ SY300 ) @ name_skS ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(924,plain,
! [SV99: $i] :
( ( ! [SY302: $i] :
( ( SV99 = name_B )
| ( SV99 = name_A )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV99 @ SY302 ) )
| ( pred_table @ ( tuple_keys @ SV99 @ SY302 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(925,plain,
( ( pred_attacker @ name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(926,plain,
! [SV1: $i,SV100: $i] :
( ( ( constr_dec @ ( constr_enc @ SV100 @ SV1 ) @ SV1 )
= SV100 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(927,plain,
! [SV2: $i,SV101: $i] :
( ( ( constr_getmess @ ( constr_sign @ SV101 @ SV2 ) )
= SV101 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(928,plain,
! [SV3: $i,SV102: $i] :
( ( ( constr_checksign @ ( constr_sign @ SV102 @ SV3 ) @ ( constr_pkey @ SV3 ) )
= SV102 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(929,plain,
! [SV4: $i,SV103: $i] :
( ( ! [SY303: $i,SY304: $i,SY305: $i] :
( ( constr_ecb_dec_4 @ ( constr_ecb_enc_4 @ SV103 @ SY303 @ SY304 @ SY305 @ ( constr_pkey @ SV4 ) ) @ SV4 )
= ( tuple_4 @ SV103 @ SY303 @ SY304 @ SY305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(930,plain,
! [SV5: $i,SV104: $i] :
( ( ! [SY306: $i,SY307: $i] :
( ( constr_ecb_dec_3 @ ( constr_ecb_enc_3 @ SV104 @ SY306 @ SY307 @ ( constr_pkey @ SV5 ) ) @ SV5 )
= ( tuple_3 @ SV104 @ SY306 @ SY307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(931,plain,
! [SV6: $i,SV105: $i] :
( ( ! [SY308: $i] :
( ( constr_ecb_dec_2 @ ( constr_ecb_enc_2 @ SV105 @ SY308 @ ( constr_pkey @ SV6 ) ) @ SV6 )
= ( tuple_2 @ SV105 @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(932,plain,
! [SV7: $i,SV106: $i] :
( ( ( constr_ecb_dec_1 @ ( constr_ecb_enc_1 @ SV106 @ ( constr_pkey @ SV7 ) ) @ SV7 )
= SV106 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(933,plain,
! [SV8: $i,SV107: $i] :
( ( ! [SY309: $i,SY310: $i,SY311: $i] :
( ( constr_ecb_enc_4 @ SV107 @ SY309 @ SY310 @ SY311 @ SV8 )
= ( tuple_4 @ ( constr_ecb_enc_1 @ SV107 @ SV8 ) @ ( constr_ecb_enc_1 @ SY309 @ SV8 ) @ ( constr_ecb_enc_1 @ SY310 @ SV8 ) @ ( constr_ecb_enc_1 @ SY311 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(934,plain,
! [SV9: $i,SV108: $i] :
( ( ! [SY312: $i,SY313: $i] :
( ( constr_ecb_enc_3 @ SV108 @ SY312 @ SY313 @ SV9 )
= ( tuple_3 @ ( constr_ecb_enc_1 @ SV108 @ SV9 ) @ ( constr_ecb_enc_1 @ SY312 @ SV9 ) @ ( constr_ecb_enc_1 @ SY313 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(935,plain,
! [SV10: $i,SV109: $i] :
( ( ! [SY314: $i] :
( ( constr_ecb_enc_2 @ SV109 @ SY314 @ SV10 )
= ( tuple_2 @ ( constr_ecb_enc_1 @ SV109 @ SV10 ) @ ( constr_ecb_enc_1 @ SY314 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(936,plain,
! [SV110: $i,SV11: $i] :
( ( ! [SY315: $i] :
( ( constr_tuple_3_get_1_bitstring @ ( tuple_3 @ SV11 @ SV110 @ SY315 ) )
= SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(937,plain,
! [SV111: $i,SV12: $i] :
( ( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ SV12 @ SV111 ) )
= SV111 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(938,plain,
! [SV112: $i,SV13: $i] :
( ( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ SV13 @ SV112 ) )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(939,plain,
! [SV113: $i,SV14: $i] :
( ( ! [SY316: $i] :
( ( constr_tuple_3_get_2 @ ( tuple_3 @ SV14 @ SV113 @ SY316 ) )
= SY316 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(940,plain,
! [SV114: $i,SV15: $i] :
( ( ! [SY317: $i] :
( ( constr_tuple_3_get_0x30 @ ( tuple_3 @ SV15 @ SV114 @ SY317 ) )
= SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(941,plain,
! [SV115: $i,SV16: $i] :
( ( ( constr_tuple_2_get_1 @ ( tuple_2 @ SV16 @ SV115 ) )
= SV115 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(942,plain,
! [SV116: $i,SV17: $i] :
( ( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ SV17 @ SV116 ) )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(943,plain,
! [SV117: $i,SV18: $i] :
( ( pred_eq_bitstring_bitstring @ SV18 @ SV117 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(944,plain,
! [SV19: $i] :
( ( ( ~ ( pred_attacker @ SV19 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_3_get_2 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(945,plain,
! [SV20: $i] :
( ( ( ~ ( pred_attacker @ SV20 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_3_get_1_bitstring @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(946,plain,
! [SV21: $i] :
( ( ( ~ ( pred_attacker @ SV21 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_3_get_0x30 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(947,plain,
! [SV22: $i] :
( ( ( ~ ( pred_attacker @ SV22 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(948,plain,
! [SV23: $i] :
( ( ( ~ ( pred_attacker @ SV23 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_1 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[848]) ).
thf(949,plain,
! [SV24: $i] :
( ( ( ~ ( pred_attacker @ SV24 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(950,plain,
! [SV25: $i] :
( ( ( ~ ( pred_attacker @ SV25 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(951,plain,
! [SV118: $i,SV26: $i] :
( ( ~ ( pred_attacker @ SV26 )
| ~ ( pred_attacker @ SV118 )
| ( pred_attacker @ ( constr_sign @ SV26 @ SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(952,plain,
! [SV27: $i] :
( ( ( ~ ( pred_attacker @ SV27 ) )
= $true )
| ( ( pred_attacker @ ( constr_pkey @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(953,plain,
! [SV28: $i] :
( ( ( ~ ( pred_attacker @ SV28 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_3 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(954,plain,
! [SV29: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_3 @ SV29 ) ) )
= $true )
| ( ( pred_attacker @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(955,plain,
! [SV30: $i] :
( ( ( ~ ( pred_attacker @ SV30 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_2 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(956,plain,
! [SV31: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_2 @ SV31 ) ) )
= $true )
| ( ( pred_attacker @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(957,plain,
! [SV32: $i] :
( ( ( ~ ( pred_attacker @ SV32 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_1 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(958,plain,
! [SV33: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_1 @ SV33 ) ) )
= $true )
| ( ( pred_attacker @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(959,plain,
! [SV34: $i] :
( ( ( ~ ( pred_attacker @ SV34 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(960,plain,
! [SV35: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV35 ) ) )
= $true )
| ( ( pred_attacker @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(961,plain,
! [SV119: $i,SV36: $i] :
( ( ~ ( pred_attacker @ SV36 )
| ~ ( pred_attacker @ SV119 )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV36 @ SV119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(962,plain,
! [SV37: $i] :
( ( ( ! [SY236: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV37 @ SY236 ) ) )
= $true )
| ( ( pred_attacker @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(963,plain,
! [SV120: $i,SV38: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV38 @ SV120 ) )
| ( pred_attacker @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(964,plain,
! [SV121: $i,SV39: $i] :
( ( ~ ( pred_attacker @ SV39 )
| ~ ( pred_attacker @ SV121 )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV39 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(965,plain,
! [SV40: $i] :
( ( ( ! [SY239: $i] :
~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV40 @ SY239 ) ) )
= $true )
| ( ( pred_attacker @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(966,plain,
! [SV122: $i,SV41: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV41 @ SV122 ) )
| ( pred_attacker @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(967,plain,
! [SV42: $i] :
( ( ( ~ ( pred_attacker @ SV42 ) )
= $true )
| ( ( pred_attacker @ ( constr_getmess @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(968,plain,
! [SV123: $i,SV43: $i] :
( ( ~ ( pred_attacker @ SV43 )
| ~ ( pred_attacker @ SV123 )
| ( pred_attacker @ ( constr_enc @ SV43 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(969,plain,
! [SV124: $i,SV44: $i] :
( ( ! [SY318: $i,SY319: $i,SY320: $i] :
( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SV124 )
| ~ ( pred_attacker @ SY318 )
| ~ ( pred_attacker @ SY319 )
| ~ ( pred_attacker @ SY320 )
| ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SY318 @ SY319 @ SY320 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(970,plain,
! [SV125: $i,SV45: $i] :
( ( ! [SY321: $i,SY322: $i] :
( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV125 )
| ~ ( pred_attacker @ SY321 )
| ~ ( pred_attacker @ SY322 )
| ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SY321 @ SY322 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(971,plain,
! [SV126: $i,SV46: $i] :
( ( ! [SY323: $i] :
( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SV126 )
| ~ ( pred_attacker @ SY323 )
| ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SV126 @ SY323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(972,plain,
! [SV127: $i,SV47: $i] :
( ( ~ ( pred_attacker @ SV47 )
| ~ ( pred_attacker @ SV127 )
| ( pred_attacker @ ( constr_ecb_enc_1 @ SV47 @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(973,plain,
! [SV128: $i,SV48: $i] :
( ( ~ ( pred_attacker @ SV48 )
| ~ ( pred_attacker @ SV128 )
| ( pred_attacker @ ( constr_ecb_dec_4 @ SV48 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(974,plain,
! [SV129: $i,SV49: $i] :
( ( ~ ( pred_attacker @ SV49 )
| ~ ( pred_attacker @ SV129 )
| ( pred_attacker @ ( constr_ecb_dec_3 @ SV49 @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(975,plain,
! [SV130: $i,SV50: $i] :
( ( ~ ( pred_attacker @ SV50 )
| ~ ( pred_attacker @ SV130 )
| ( pred_attacker @ ( constr_ecb_dec_2 @ SV50 @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(976,plain,
! [SV131: $i,SV51: $i] :
( ( ~ ( pred_attacker @ SV51 )
| ~ ( pred_attacker @ SV131 )
| ( pred_attacker @ ( constr_ecb_dec_1 @ SV51 @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(977,plain,
! [SV132: $i,SV52: $i] :
( ( ~ ( pred_attacker @ SV52 )
| ~ ( pred_attacker @ SV132 )
| ( pred_attacker @ ( constr_dec @ SV52 @ SV132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(978,plain,
! [SV53: $i] :
( ( ( ~ ( pred_attacker @ SV53 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(979,plain,
! [SV54: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ SV54 ) ) )
= $true )
| ( ( pred_attacker @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(980,plain,
! [SV55: $i] :
( ( ( ~ ( pred_attacker @ SV55 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(981,plain,
! [SV56: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ SV56 ) ) )
= $true )
| ( ( pred_attacker @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(982,plain,
! [SV133: $i,SV57: $i] :
( ( ~ ( pred_attacker @ SV57 )
| ~ ( pred_attacker @ SV133 )
| ( pred_attacker @ ( tuple_client_B_out_1 @ SV57 @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(983,plain,
! [SV58: $i] :
( ( ( ! [SY258: $i] :
~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV58 @ SY258 ) ) )
= $true )
| ( ( pred_attacker @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(984,plain,
! [SV134: $i,SV59: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV134 ) )
| ( pred_attacker @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(985,plain,
! [SV60: $i] :
( ( ( ~ ( pred_attacker @ SV60 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(986,plain,
! [SV61: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV61 ) ) )
= $true )
| ( ( pred_attacker @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(987,plain,
! [SV62: $i] :
( ( ( ~ ( pred_attacker @ SV62 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(988,plain,
! [SV63: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV63 ) ) )
= $true )
| ( ( pred_attacker @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(989,plain,
! [SV64: $i] :
( ( ( ~ ( pred_attacker @ SV64 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(990,plain,
! [SV65: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV65 ) ) )
= $true )
| ( ( pred_attacker @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(991,plain,
! [SV66: $i] :
( ( ( ~ ( pred_attacker @ SV66 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(992,plain,
! [SV67: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ SV67 ) ) )
= $true )
| ( ( pred_attacker @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(993,plain,
! [SV68: $i] :
( ( ( ~ ( pred_attacker @ SV68 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(994,plain,
! [SV69: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ SV69 ) ) )
= $true )
| ( ( pred_attacker @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(995,plain,
! [SV135: $i,SV70: $i] :
( ( ~ ( pred_attacker @ SV70 )
| ~ ( pred_attacker @ SV135 )
| ( pred_attacker @ ( tuple_client_A_out_1 @ SV70 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(996,plain,
! [SV71: $i] :
( ( ( ! [SY261: $i] :
~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV71 @ SY261 ) ) )
= $true )
| ( ( pred_attacker @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[896]) ).
thf(997,plain,
! [SV136: $i,SV72: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV72 @ SV136 ) )
| ( pred_attacker @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(998,plain,
! [SV73: $i] :
( ( ( ~ ( pred_attacker @ SV73 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(999,plain,
! [SV74: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV74 ) ) )
= $true )
| ( ( pred_attacker @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(1000,plain,
! [SV75: $i] :
( ( ( ~ ( pred_attacker @ SV75 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(1001,plain,
! [SV76: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV76 ) ) )
= $true )
| ( ( pred_attacker @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(1002,plain,
! [SV137: $i,SV77: $i] :
( ( ~ ( pred_attacker @ SV77 )
| ~ ( pred_attacker @ SV137 )
| ( pred_attacker @ ( constr_checksign @ SV77 @ SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(1003,plain,
! [SV138: $i,SV78: $i] :
( ( ! [SY324: $i,SY325: $i] :
( ~ ( pred_attacker @ SV78 )
| ~ ( pred_attacker @ SV138 )
| ~ ( pred_attacker @ SY324 )
| ~ ( pred_attacker @ SY325 )
| ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SY324 @ SY325 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(1004,plain,
! [SV139: $i,SV79: $i] :
( ( ! [SY326: $i,SY327: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV79 @ SV139 @ SY326 @ SY327 ) )
| ( pred_attacker @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(1005,plain,
! [SV140: $i,SV80: $i] :
( ( ! [SY328: $i,SY329: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV80 @ SV140 @ SY328 @ SY329 ) )
| ( pred_attacker @ SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1006,plain,
! [SV141: $i,SV81: $i] :
( ( ! [SY330: $i] :
( ! [SY331: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV81 @ SV141 @ SY330 @ SY331 ) )
| ( pred_attacker @ SY330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(1007,plain,
! [SV142: $i,SV82: $i] :
( ( ! [SY332: $i,SY333: $i] :
( ~ ( pred_attacker @ ( tuple_4 @ SV82 @ SV142 @ SY332 @ SY333 ) )
| ( pred_attacker @ SY333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(1008,plain,
! [SV143: $i,SV83: $i] :
( ( ! [SY334: $i] :
( ~ ( pred_attacker @ SV83 )
| ~ ( pred_attacker @ SV143 )
| ~ ( pred_attacker @ SY334 )
| ( pred_attacker @ ( tuple_3 @ SV83 @ SV143 @ SY334 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(1009,plain,
! [SV84: $i] :
( ( ( ! [SY281: $i,SY282: $i] :
~ ( pred_attacker @ ( tuple_3 @ SV84 @ SY281 @ SY282 ) ) )
= $true )
| ( ( pred_attacker @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(1010,plain,
! [SV144: $i,SV85: $i] :
( ( ! [SY335: $i] :
~ ( pred_attacker @ ( tuple_3 @ SV85 @ SV144 @ SY335 ) )
| ( pred_attacker @ SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(1011,plain,
! [SV145: $i,SV86: $i] :
( ( ! [SY336: $i] :
( ~ ( pred_attacker @ ( tuple_3 @ SV86 @ SV145 @ SY336 ) )
| ( pred_attacker @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(1012,plain,
! [SV146: $i,SV87: $i] :
( ( ~ ( pred_attacker @ SV87 )
| ~ ( pred_attacker @ SV146 )
| ( pred_attacker @ ( tuple_2 @ SV87 @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1013,plain,
! [SV88: $i] :
( ( ( ! [SY288: $i] :
~ ( pred_attacker @ ( tuple_2 @ SV88 @ SY288 ) ) )
= $true )
| ( ( pred_attacker @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[913]) ).
thf(1014,plain,
! [SV147: $i,SV89: $i] :
( ( ~ ( pred_attacker @ ( tuple_2 @ SV89 @ SV147 ) )
| ( pred_attacker @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1015,plain,
! [SV90: $i] :
( ( ( ! [SY290: $i] :
( ~ ( pred_attacker @ SY290 )
| ~ ( pred_mess @ SY290 @ SV90 ) ) )
= $true )
| ( ( pred_attacker @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[915]) ).
thf(1016,plain,
! [SV91: $i,SV148: $i] :
( ( ~ ( pred_attacker @ SV148 )
| ~ ( pred_attacker @ SV91 )
| ( pred_mess @ SV148 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1017,plain,
! [SV94: $i,SV149: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV149 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) )
| ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ SV94 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1018,plain,
! [SV95: $i,SV150: $i] :
( ( ! [SY337: $i] :
( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY337 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SY337 ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY337 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1019,plain,
! [SV96: $i,SV151: $i] :
( ( ! [SY338: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY338 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY338 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY338 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1020,plain,
! [SV152: $i,SV97: $i] :
( ( ! [SY339: $i,SY340: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SY339 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SY339 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY340 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY340 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1021,plain,
! [SV153: $i,SV98: $i] :
( ( ! [SY301: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SY301 @ SV98 ) )
| ~ ( pred_table @ ( tuple_keys @ SV98 @ SV153 ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV98 @ SV153 ) @ name_skS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1022,plain,
! [SV154: $i,SV99: $i] :
( ( ( SV99 = name_B )
| ( SV99 = name_A )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV99 @ SV154 ) )
| ( pred_table @ ( tuple_keys @ SV99 @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1023,plain,
! [SV4: $i,SV155: $i,SV103: $i] :
( ( ! [SY342: $i,SY343: $i] :
( ( constr_ecb_dec_4 @ ( constr_ecb_enc_4 @ SV103 @ SV155 @ SY342 @ SY343 @ ( constr_pkey @ SV4 ) ) @ SV4 )
= ( tuple_4 @ SV103 @ SV155 @ SY342 @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1024,plain,
! [SV5: $i,SV156: $i,SV104: $i] :
( ( ! [SY344: $i] :
( ( constr_ecb_dec_3 @ ( constr_ecb_enc_3 @ SV104 @ SV156 @ SY344 @ ( constr_pkey @ SV5 ) ) @ SV5 )
= ( tuple_3 @ SV104 @ SV156 @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1025,plain,
! [SV6: $i,SV157: $i,SV105: $i] :
( ( ( constr_ecb_dec_2 @ ( constr_ecb_enc_2 @ SV105 @ SV157 @ ( constr_pkey @ SV6 ) ) @ SV6 )
= ( tuple_2 @ SV105 @ SV157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1026,plain,
! [SV8: $i,SV158: $i,SV107: $i] :
( ( ! [SY345: $i,SY346: $i] :
( ( constr_ecb_enc_4 @ SV107 @ SV158 @ SY345 @ SY346 @ SV8 )
= ( tuple_4 @ ( constr_ecb_enc_1 @ SV107 @ SV8 ) @ ( constr_ecb_enc_1 @ SV158 @ SV8 ) @ ( constr_ecb_enc_1 @ SY345 @ SV8 ) @ ( constr_ecb_enc_1 @ SY346 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1027,plain,
! [SV9: $i,SV159: $i,SV108: $i] :
( ( ! [SY347: $i] :
( ( constr_ecb_enc_3 @ SV108 @ SV159 @ SY347 @ SV9 )
= ( tuple_3 @ ( constr_ecb_enc_1 @ SV108 @ SV9 ) @ ( constr_ecb_enc_1 @ SV159 @ SV9 ) @ ( constr_ecb_enc_1 @ SY347 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1028,plain,
! [SV10: $i,SV160: $i,SV109: $i] :
( ( ( constr_ecb_enc_2 @ SV109 @ SV160 @ SV10 )
= ( tuple_2 @ ( constr_ecb_enc_1 @ SV109 @ SV10 ) @ ( constr_ecb_enc_1 @ SV160 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1029,plain,
! [SV161: $i,SV110: $i,SV11: $i] :
( ( ( constr_tuple_3_get_1_bitstring @ ( tuple_3 @ SV11 @ SV110 @ SV161 ) )
= SV110 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1030,plain,
! [SV162: $i,SV113: $i,SV14: $i] :
( ( ( constr_tuple_3_get_2 @ ( tuple_3 @ SV14 @ SV113 @ SV162 ) )
= SV162 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1031,plain,
! [SV163: $i,SV114: $i,SV15: $i] :
( ( ( constr_tuple_3_get_0x30 @ ( tuple_3 @ SV15 @ SV114 @ SV163 ) )
= SV15 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1032,plain,
! [SV19: $i] :
( ( ( pred_attacker @ SV19 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_3_get_2 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1033,plain,
! [SV20: $i] :
( ( ( pred_attacker @ SV20 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_3_get_1_bitstring @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1034,plain,
! [SV21: $i] :
( ( ( pred_attacker @ SV21 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_3_get_0x30 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1035,plain,
! [SV22: $i] :
( ( ( pred_attacker @ SV22 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1036,plain,
! [SV23: $i] :
( ( ( pred_attacker @ SV23 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_1 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1037,plain,
! [SV24: $i] :
( ( ( pred_attacker @ SV24 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1038,plain,
! [SV25: $i] :
( ( ( pred_attacker @ SV25 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(1039,plain,
! [SV118: $i,SV26: $i] :
( ( ( ~ ( pred_attacker @ SV26 )
| ~ ( pred_attacker @ SV118 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV26 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1040,plain,
! [SV27: $i] :
( ( ( pred_attacker @ SV27 )
= $false )
| ( ( pred_attacker @ ( constr_pkey @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1041,plain,
! [SV28: $i] :
( ( ( pred_attacker @ SV28 )
= $false )
| ( ( pred_attacker @ ( tuple_out_3 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1042,plain,
! [SV29: $i] :
( ( ( pred_attacker @ ( tuple_out_3 @ SV29 ) )
= $false )
| ( ( pred_attacker @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(1043,plain,
! [SV30: $i] :
( ( ( pred_attacker @ SV30 )
= $false )
| ( ( pred_attacker @ ( tuple_out_2 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(1044,plain,
! [SV31: $i] :
( ( ( pred_attacker @ ( tuple_out_2 @ SV31 ) )
= $false )
| ( ( pred_attacker @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1045,plain,
! [SV32: $i] :
( ( ( pred_attacker @ SV32 )
= $false )
| ( ( pred_attacker @ ( tuple_out_1 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(1046,plain,
! [SV33: $i] :
( ( ( pred_attacker @ ( tuple_out_1 @ SV33 ) )
= $false )
| ( ( pred_attacker @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1047,plain,
! [SV34: $i] :
( ( ( pred_attacker @ SV34 )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1048,plain,
! [SV35: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV35 ) )
= $false )
| ( ( pred_attacker @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1049,plain,
! [SV119: $i,SV36: $i] :
( ( ( ~ ( pred_attacker @ SV36 )
| ~ ( pred_attacker @ SV119 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV36 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1050,plain,
! [SV164: $i,SV37: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV37 @ SV164 ) ) )
= $true )
| ( ( pred_attacker @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1051,plain,
! [SV120: $i,SV38: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV38 @ SV120 ) ) )
= $true )
| ( ( pred_attacker @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1052,plain,
! [SV121: $i,SV39: $i] :
( ( ( ~ ( pred_attacker @ SV39 )
| ~ ( pred_attacker @ SV121 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV39 @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(1053,plain,
! [SV165: $i,SV40: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV40 @ SV165 ) ) )
= $true )
| ( ( pred_attacker @ SV40 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1054,plain,
! [SV122: $i,SV41: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV41 @ SV122 ) ) )
= $true )
| ( ( pred_attacker @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1055,plain,
! [SV42: $i] :
( ( ( pred_attacker @ SV42 )
= $false )
| ( ( pred_attacker @ ( constr_getmess @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(1056,plain,
! [SV123: $i,SV43: $i] :
( ( ( ~ ( pred_attacker @ SV43 )
| ~ ( pred_attacker @ SV123 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV43 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(1057,plain,
! [SV166: $i,SV124: $i,SV44: $i] :
( ( ! [SY348: $i,SY349: $i] :
( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SV124 )
| ~ ( pred_attacker @ SV166 )
| ~ ( pred_attacker @ SY348 )
| ~ ( pred_attacker @ SY349 )
| ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SY348 @ SY349 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1058,plain,
! [SV167: $i,SV125: $i,SV45: $i] :
( ( ! [SY350: $i] :
( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV125 )
| ~ ( pred_attacker @ SV167 )
| ~ ( pred_attacker @ SY350 )
| ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SY350 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1059,plain,
! [SV168: $i,SV126: $i,SV46: $i] :
( ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SV126 )
| ~ ( pred_attacker @ SV168 )
| ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SV126 @ SV168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1060,plain,
! [SV127: $i,SV47: $i] :
( ( ( ~ ( pred_attacker @ SV47 )
| ~ ( pred_attacker @ SV127 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_1 @ SV47 @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1061,plain,
! [SV128: $i,SV48: $i] :
( ( ( ~ ( pred_attacker @ SV48 )
| ~ ( pred_attacker @ SV128 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_4 @ SV48 @ SV128 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1062,plain,
! [SV129: $i,SV49: $i] :
( ( ( ~ ( pred_attacker @ SV49 )
| ~ ( pred_attacker @ SV129 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_3 @ SV49 @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(1063,plain,
! [SV130: $i,SV50: $i] :
( ( ( ~ ( pred_attacker @ SV50 )
| ~ ( pred_attacker @ SV130 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_2 @ SV50 @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1064,plain,
! [SV131: $i,SV51: $i] :
( ( ( ~ ( pred_attacker @ SV51 )
| ~ ( pred_attacker @ SV131 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_1 @ SV51 @ SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1065,plain,
! [SV132: $i,SV52: $i] :
( ( ( ~ ( pred_attacker @ SV52 )
| ~ ( pred_attacker @ SV132 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV52 @ SV132 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1066,plain,
! [SV53: $i] :
( ( ( pred_attacker @ SV53 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1067,plain,
! [SV54: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV54 ) )
= $false )
| ( ( pred_attacker @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1068,plain,
! [SV55: $i] :
( ( ( pred_attacker @ SV55 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1069,plain,
! [SV56: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV56 ) )
= $false )
| ( ( pred_attacker @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(1070,plain,
! [SV133: $i,SV57: $i] :
( ( ( ~ ( pred_attacker @ SV57 )
| ~ ( pred_attacker @ SV133 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV57 @ SV133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1071,plain,
! [SV169: $i,SV58: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV58 @ SV169 ) ) )
= $true )
| ( ( pred_attacker @ SV58 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1072,plain,
! [SV134: $i,SV59: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV134 ) ) )
= $true )
| ( ( pred_attacker @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1073,plain,
! [SV60: $i] :
( ( ( pred_attacker @ SV60 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1074,plain,
! [SV61: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV61 ) )
= $false )
| ( ( pred_attacker @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1075,plain,
! [SV62: $i] :
( ( ( pred_attacker @ SV62 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1076,plain,
! [SV63: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV63 ) )
= $false )
| ( ( pred_attacker @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1077,plain,
! [SV64: $i] :
( ( ( pred_attacker @ SV64 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1078,plain,
! [SV65: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV65 ) )
= $false )
| ( ( pred_attacker @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1079,plain,
! [SV66: $i] :
( ( ( pred_attacker @ SV66 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1080,plain,
! [SV67: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV67 ) )
= $false )
| ( ( pred_attacker @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1081,plain,
! [SV68: $i] :
( ( ( pred_attacker @ SV68 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1082,plain,
! [SV69: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV69 ) )
= $false )
| ( ( pred_attacker @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1083,plain,
! [SV135: $i,SV70: $i] :
( ( ( ~ ( pred_attacker @ SV70 )
| ~ ( pred_attacker @ SV135 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV70 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[995]) ).
thf(1084,plain,
! [SV170: $i,SV71: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV71 @ SV170 ) ) )
= $true )
| ( ( pred_attacker @ SV71 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1085,plain,
! [SV136: $i,SV72: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV72 @ SV136 ) ) )
= $true )
| ( ( pred_attacker @ SV136 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[997]) ).
thf(1086,plain,
! [SV73: $i] :
( ( ( pred_attacker @ SV73 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1087,plain,
! [SV74: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV74 ) )
= $false )
| ( ( pred_attacker @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1088,plain,
! [SV75: $i] :
( ( ( pred_attacker @ SV75 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1089,plain,
! [SV76: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV76 ) )
= $false )
| ( ( pred_attacker @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1090,plain,
! [SV137: $i,SV77: $i] :
( ( ( ~ ( pred_attacker @ SV77 )
| ~ ( pred_attacker @ SV137 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV77 @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1091,plain,
! [SV171: $i,SV138: $i,SV78: $i] :
( ( ! [SY351: $i] :
( ~ ( pred_attacker @ SV78 )
| ~ ( pred_attacker @ SV138 )
| ~ ( pred_attacker @ SV171 )
| ~ ( pred_attacker @ SY351 )
| ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SY351 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1092,plain,
! [SV139: $i,SV79: $i] :
( ( ( ! [SY326: $i,SY327: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV79 @ SV139 @ SY326 @ SY327 ) ) )
= $true )
| ( ( pred_attacker @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1093,plain,
! [SV140: $i,SV80: $i] :
( ( ( ! [SY328: $i,SY329: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV80 @ SV140 @ SY328 @ SY329 ) ) )
= $true )
| ( ( pred_attacker @ SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1094,plain,
! [SV172: $i,SV141: $i,SV81: $i] :
( ( ! [SY352: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV81 @ SV141 @ SV172 @ SY352 ) )
| ( pred_attacker @ SV172 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1095,plain,
! [SV173: $i,SV142: $i,SV82: $i] :
( ( ! [SY353: $i] :
( ~ ( pred_attacker @ ( tuple_4 @ SV82 @ SV142 @ SV173 @ SY353 ) )
| ( pred_attacker @ SY353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1096,plain,
! [SV174: $i,SV143: $i,SV83: $i] :
( ( ~ ( pred_attacker @ SV83 )
| ~ ( pred_attacker @ SV143 )
| ~ ( pred_attacker @ SV174 )
| ( pred_attacker @ ( tuple_3 @ SV83 @ SV143 @ SV174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1097,plain,
! [SV175: $i,SV84: $i] :
( ( ( ! [SY354: $i] :
~ ( pred_attacker @ ( tuple_3 @ SV84 @ SV175 @ SY354 ) ) )
= $true )
| ( ( pred_attacker @ SV84 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1098,plain,
! [SV144: $i,SV85: $i] :
( ( ( ! [SY335: $i] :
~ ( pred_attacker @ ( tuple_3 @ SV85 @ SV144 @ SY335 ) ) )
= $true )
| ( ( pred_attacker @ SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1010]) ).
thf(1099,plain,
! [SV176: $i,SV145: $i,SV86: $i] :
( ( ~ ( pred_attacker @ ( tuple_3 @ SV86 @ SV145 @ SV176 ) )
| ( pred_attacker @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1100,plain,
! [SV146: $i,SV87: $i] :
( ( ( ~ ( pred_attacker @ SV87 )
| ~ ( pred_attacker @ SV146 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV87 @ SV146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1101,plain,
! [SV177: $i,SV88: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_2 @ SV88 @ SV177 ) ) )
= $true )
| ( ( pred_attacker @ SV88 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1013]) ).
thf(1102,plain,
! [SV147: $i,SV89: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_2 @ SV89 @ SV147 ) ) )
= $true )
| ( ( pred_attacker @ SV147 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1103,plain,
! [SV90: $i,SV178: $i] :
( ( ( ~ ( pred_attacker @ SV178 )
| ~ ( pred_mess @ SV178 @ SV90 ) )
= $true )
| ( ( pred_attacker @ SV90 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1104,plain,
! [SV91: $i,SV148: $i] :
( ( ( ~ ( pred_attacker @ SV148 )
| ~ ( pred_attacker @ SV91 ) )
= $true )
| ( ( pred_mess @ SV148 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1105,plain,
! [SV94: $i,SV149: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV149 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ SV94 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1106,plain,
! [SV179: $i,SV95: $i,SV150: $i] :
( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1107,plain,
! [SV96: $i,SV180: $i,SV151: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1108,plain,
! [SV152: $i,SV97: $i] :
( ( ( ! [SY339: $i,SY340: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SY339 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SY339 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY340 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY340 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1109,plain,
! [SV153: $i,SV98: $i] :
( ( ( ! [SY301: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SY301 @ SV98 ) )
| ~ ( pred_table @ ( tuple_keys @ SV98 @ SV153 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV98 @ SV153 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1110,plain,
! [SV154: $i,SV99: $i] :
( ( ( ( SV99 = name_B )
| ( SV99 = name_A )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV99 @ SV154 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV99 @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1111,plain,
! [SV4: $i,SV181: $i,SV155: $i,SV103: $i] :
( ( ! [SY355: $i] :
( ( constr_ecb_dec_4 @ ( constr_ecb_enc_4 @ SV103 @ SV155 @ SV181 @ SY355 @ ( constr_pkey @ SV4 ) ) @ SV4 )
= ( tuple_4 @ SV103 @ SV155 @ SV181 @ SY355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1112,plain,
! [SV5: $i,SV182: $i,SV156: $i,SV104: $i] :
( ( ( constr_ecb_dec_3 @ ( constr_ecb_enc_3 @ SV104 @ SV156 @ SV182 @ ( constr_pkey @ SV5 ) ) @ SV5 )
= ( tuple_3 @ SV104 @ SV156 @ SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1113,plain,
! [SV8: $i,SV183: $i,SV158: $i,SV107: $i] :
( ( ! [SY356: $i] :
( ( constr_ecb_enc_4 @ SV107 @ SV158 @ SV183 @ SY356 @ SV8 )
= ( tuple_4 @ ( constr_ecb_enc_1 @ SV107 @ SV8 ) @ ( constr_ecb_enc_1 @ SV158 @ SV8 ) @ ( constr_ecb_enc_1 @ SV183 @ SV8 ) @ ( constr_ecb_enc_1 @ SY356 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1114,plain,
! [SV9: $i,SV184: $i,SV159: $i,SV108: $i] :
( ( ( constr_ecb_enc_3 @ SV108 @ SV159 @ SV184 @ SV9 )
= ( tuple_3 @ ( constr_ecb_enc_1 @ SV108 @ SV9 ) @ ( constr_ecb_enc_1 @ SV159 @ SV9 ) @ ( constr_ecb_enc_1 @ SV184 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1115,plain,
! [SV118: $i,SV26: $i] :
( ( ( ~ ( pred_attacker @ SV26 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV118 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV26 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1116,plain,
! [SV119: $i,SV36: $i] :
( ( ( ~ ( pred_attacker @ SV36 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV119 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV36 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1117,plain,
! [SV164: $i,SV37: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV37 @ SV164 ) )
= $false )
| ( ( pred_attacker @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1118,plain,
! [SV120: $i,SV38: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV38 @ SV120 ) )
= $false )
| ( ( pred_attacker @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1119,plain,
! [SV121: $i,SV39: $i] :
( ( ( ~ ( pred_attacker @ SV39 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV121 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV39 @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1120,plain,
! [SV165: $i,SV40: $i] :
( ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV40 @ SV165 ) )
= $false )
| ( ( pred_attacker @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1121,plain,
! [SV122: $i,SV41: $i] :
( ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV41 @ SV122 ) )
= $false )
| ( ( pred_attacker @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1122,plain,
! [SV123: $i,SV43: $i] :
( ( ( ~ ( pred_attacker @ SV43 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV123 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV43 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1123,plain,
! [SV185: $i,SV166: $i,SV124: $i,SV44: $i] :
( ( ! [SY357: $i] :
( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SV124 )
| ~ ( pred_attacker @ SV166 )
| ~ ( pred_attacker @ SV185 )
| ~ ( pred_attacker @ SY357 )
| ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SY357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1124,plain,
! [SV186: $i,SV167: $i,SV125: $i,SV45: $i] :
( ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV125 )
| ~ ( pred_attacker @ SV167 )
| ~ ( pred_attacker @ SV186 )
| ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1058]) ).
thf(1125,plain,
! [SV168: $i,SV126: $i,SV46: $i] :
( ( ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SV126 )
| ~ ( pred_attacker @ SV168 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SV126 @ SV168 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1126,plain,
! [SV127: $i,SV47: $i] :
( ( ( ~ ( pred_attacker @ SV47 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV127 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_1 @ SV47 @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1127,plain,
! [SV128: $i,SV48: $i] :
( ( ( ~ ( pred_attacker @ SV48 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV128 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_4 @ SV48 @ SV128 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1128,plain,
! [SV129: $i,SV49: $i] :
( ( ( ~ ( pred_attacker @ SV49 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV129 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_3 @ SV49 @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1129,plain,
! [SV130: $i,SV50: $i] :
( ( ( ~ ( pred_attacker @ SV50 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV130 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_2 @ SV50 @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1130,plain,
! [SV131: $i,SV51: $i] :
( ( ( ~ ( pred_attacker @ SV51 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV131 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_1 @ SV51 @ SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1064]) ).
thf(1131,plain,
! [SV132: $i,SV52: $i] :
( ( ( ~ ( pred_attacker @ SV52 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV132 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV52 @ SV132 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1065]) ).
thf(1132,plain,
! [SV133: $i,SV57: $i] :
( ( ( ~ ( pred_attacker @ SV57 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV133 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV57 @ SV133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1133,plain,
! [SV169: $i,SV58: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV58 @ SV169 ) )
= $false )
| ( ( pred_attacker @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1134,plain,
! [SV134: $i,SV59: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV134 ) )
= $false )
| ( ( pred_attacker @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1135,plain,
! [SV135: $i,SV70: $i] :
( ( ( ~ ( pred_attacker @ SV70 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV135 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV70 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1136,plain,
! [SV170: $i,SV71: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV71 @ SV170 ) )
= $false )
| ( ( pred_attacker @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1137,plain,
! [SV136: $i,SV72: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV72 @ SV136 ) )
= $false )
| ( ( pred_attacker @ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1138,plain,
! [SV137: $i,SV77: $i] :
( ( ( ~ ( pred_attacker @ SV77 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV137 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV77 @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1139,plain,
! [SV187: $i,SV171: $i,SV138: $i,SV78: $i] :
( ( ~ ( pred_attacker @ SV78 )
| ~ ( pred_attacker @ SV138 )
| ~ ( pred_attacker @ SV171 )
| ~ ( pred_attacker @ SV187 )
| ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1140,plain,
! [SV188: $i,SV139: $i,SV79: $i] :
( ( ( ! [SY358: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV79 @ SV139 @ SV188 @ SY358 ) ) )
= $true )
| ( ( pred_attacker @ SV79 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1092]) ).
thf(1141,plain,
! [SV189: $i,SV140: $i,SV80: $i] :
( ( ( ! [SY359: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV80 @ SV140 @ SV189 @ SY359 ) ) )
= $true )
| ( ( pred_attacker @ SV140 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1142,plain,
! [SV172: $i,SV141: $i,SV81: $i] :
( ( ( ! [SY352: $i] :
~ ( pred_attacker @ ( tuple_4 @ SV81 @ SV141 @ SV172 @ SY352 ) ) )
= $true )
| ( ( pred_attacker @ SV172 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1143,plain,
! [SV190: $i,SV173: $i,SV142: $i,SV82: $i] :
( ( ~ ( pred_attacker @ ( tuple_4 @ SV82 @ SV142 @ SV173 @ SV190 ) )
| ( pred_attacker @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1144,plain,
! [SV174: $i,SV143: $i,SV83: $i] :
( ( ( ~ ( pred_attacker @ SV83 )
| ~ ( pred_attacker @ SV143 )
| ~ ( pred_attacker @ SV174 ) )
= $true )
| ( ( pred_attacker @ ( tuple_3 @ SV83 @ SV143 @ SV174 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1145,plain,
! [SV191: $i,SV175: $i,SV84: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_3 @ SV84 @ SV175 @ SV191 ) ) )
= $true )
| ( ( pred_attacker @ SV84 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1146,plain,
! [SV192: $i,SV144: $i,SV85: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_3 @ SV85 @ SV144 @ SV192 ) ) )
= $true )
| ( ( pred_attacker @ SV144 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1147,plain,
! [SV176: $i,SV145: $i,SV86: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_3 @ SV86 @ SV145 @ SV176 ) ) )
= $true )
| ( ( pred_attacker @ SV176 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1148,plain,
! [SV146: $i,SV87: $i] :
( ( ( ~ ( pred_attacker @ SV87 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV146 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV87 @ SV146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1149,plain,
! [SV177: $i,SV88: $i] :
( ( ( pred_attacker @ ( tuple_2 @ SV88 @ SV177 ) )
= $false )
| ( ( pred_attacker @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1150,plain,
! [SV147: $i,SV89: $i] :
( ( ( pred_attacker @ ( tuple_2 @ SV89 @ SV147 ) )
= $false )
| ( ( pred_attacker @ SV147 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1151,plain,
! [SV90: $i,SV178: $i] :
( ( ( ~ ( pred_attacker @ SV178 ) )
= $true )
| ( ( ~ ( pred_mess @ SV178 @ SV90 ) )
= $true )
| ( ( pred_attacker @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1152,plain,
! [SV91: $i,SV148: $i] :
( ( ( ~ ( pred_attacker @ SV148 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV91 ) )
= $true )
| ( ( pred_mess @ SV148 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1153,plain,
! [SV94: $i,SV149: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV149 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ SV94 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1154,plain,
! [SV179: $i,SV95: $i,SV150: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1155,plain,
! [SV96: $i,SV180: $i,SV151: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1156,plain,
! [SV152: $i,SV97: $i,SV193: $i] :
( ( ( ! [SY360: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY360 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY360 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1157,plain,
! [SV153: $i,SV98: $i] :
( ( ( ! [SY301: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SY301 @ SV98 ) ) )
= $true )
| ( ( ~ ( pred_table @ ( tuple_keys @ SV98 @ SV153 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV98 @ SV153 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1109]) ).
thf(1158,plain,
! [SV154: $i,SV99: $i] :
( ( ( ( SV99 = name_B )
| ( SV99 = name_A ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV99 @ SV154 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV99 @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1159,plain,
! [SV4: $i,SV194: $i,SV181: $i,SV155: $i,SV103: $i] :
( ( ( constr_ecb_dec_4 @ ( constr_ecb_enc_4 @ SV103 @ SV155 @ SV181 @ SV194 @ ( constr_pkey @ SV4 ) ) @ SV4 )
= ( tuple_4 @ SV103 @ SV155 @ SV181 @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1160,plain,
! [SV8: $i,SV195: $i,SV183: $i,SV158: $i,SV107: $i] :
( ( ( constr_ecb_enc_4 @ SV107 @ SV158 @ SV183 @ SV195 @ SV8 )
= ( tuple_4 @ ( constr_ecb_enc_1 @ SV107 @ SV8 ) @ ( constr_ecb_enc_1 @ SV158 @ SV8 ) @ ( constr_ecb_enc_1 @ SV183 @ SV8 ) @ ( constr_ecb_enc_1 @ SV195 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1161,plain,
! [SV118: $i,SV26: $i] :
( ( ( pred_attacker @ SV26 )
= $false )
| ( ( ~ ( pred_attacker @ SV118 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV26 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1162,plain,
! [SV119: $i,SV36: $i] :
( ( ( pred_attacker @ SV36 )
= $false )
| ( ( ~ ( pred_attacker @ SV119 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV36 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1163,plain,
! [SV121: $i,SV39: $i] :
( ( ( pred_attacker @ SV39 )
= $false )
| ( ( ~ ( pred_attacker @ SV121 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV39 @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1164,plain,
! [SV123: $i,SV43: $i] :
( ( ( pred_attacker @ SV43 )
= $false )
| ( ( ~ ( pred_attacker @ SV123 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV43 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1165,plain,
! [SV196: $i,SV185: $i,SV166: $i,SV124: $i,SV44: $i] :
( ( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SV124 )
| ~ ( pred_attacker @ SV166 )
| ~ ( pred_attacker @ SV185 )
| ~ ( pred_attacker @ SV196 )
| ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1166,plain,
! [SV186: $i,SV167: $i,SV125: $i,SV45: $i] :
( ( ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV125 )
| ~ ( pred_attacker @ SV167 )
| ~ ( pred_attacker @ SV186 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1167,plain,
! [SV168: $i,SV126: $i,SV46: $i] :
( ( ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SV126 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV168 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SV126 @ SV168 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1168,plain,
! [SV127: $i,SV47: $i] :
( ( ( pred_attacker @ SV47 )
= $false )
| ( ( ~ ( pred_attacker @ SV127 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_1 @ SV47 @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1169,plain,
! [SV128: $i,SV48: $i] :
( ( ( pred_attacker @ SV48 )
= $false )
| ( ( ~ ( pred_attacker @ SV128 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_4 @ SV48 @ SV128 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1170,plain,
! [SV129: $i,SV49: $i] :
( ( ( pred_attacker @ SV49 )
= $false )
| ( ( ~ ( pred_attacker @ SV129 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_3 @ SV49 @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1171,plain,
! [SV130: $i,SV50: $i] :
( ( ( pred_attacker @ SV50 )
= $false )
| ( ( ~ ( pred_attacker @ SV130 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_2 @ SV50 @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1172,plain,
! [SV131: $i,SV51: $i] :
( ( ( pred_attacker @ SV51 )
= $false )
| ( ( ~ ( pred_attacker @ SV131 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_dec_1 @ SV51 @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1173,plain,
! [SV132: $i,SV52: $i] :
( ( ( pred_attacker @ SV52 )
= $false )
| ( ( ~ ( pred_attacker @ SV132 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV52 @ SV132 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1174,plain,
! [SV133: $i,SV57: $i] :
( ( ( pred_attacker @ SV57 )
= $false )
| ( ( ~ ( pred_attacker @ SV133 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV57 @ SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1175,plain,
! [SV135: $i,SV70: $i] :
( ( ( pred_attacker @ SV70 )
= $false )
| ( ( ~ ( pred_attacker @ SV135 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV70 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1176,plain,
! [SV137: $i,SV77: $i] :
( ( ( pred_attacker @ SV77 )
= $false )
| ( ( ~ ( pred_attacker @ SV137 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV77 @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1177,plain,
! [SV187: $i,SV171: $i,SV138: $i,SV78: $i] :
( ( ( ~ ( pred_attacker @ SV78 )
| ~ ( pred_attacker @ SV138 )
| ~ ( pred_attacker @ SV171 )
| ~ ( pred_attacker @ SV187 ) )
= $true )
| ( ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1178,plain,
! [SV197: $i,SV188: $i,SV139: $i,SV79: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_4 @ SV79 @ SV139 @ SV188 @ SV197 ) ) )
= $true )
| ( ( pred_attacker @ SV79 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1179,plain,
! [SV198: $i,SV189: $i,SV140: $i,SV80: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_4 @ SV80 @ SV140 @ SV189 @ SV198 ) ) )
= $true )
| ( ( pred_attacker @ SV140 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1180,plain,
! [SV199: $i,SV172: $i,SV141: $i,SV81: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_4 @ SV81 @ SV141 @ SV172 @ SV199 ) ) )
= $true )
| ( ( pred_attacker @ SV172 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1181,plain,
! [SV190: $i,SV173: $i,SV142: $i,SV82: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_4 @ SV82 @ SV142 @ SV173 @ SV190 ) ) )
= $true )
| ( ( pred_attacker @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1143]) ).
thf(1182,plain,
! [SV174: $i,SV143: $i,SV83: $i] :
( ( ( ~ ( pred_attacker @ SV83 )
| ~ ( pred_attacker @ SV143 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV174 ) )
= $true )
| ( ( pred_attacker @ ( tuple_3 @ SV83 @ SV143 @ SV174 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1183,plain,
! [SV191: $i,SV175: $i,SV84: $i] :
( ( ( pred_attacker @ ( tuple_3 @ SV84 @ SV175 @ SV191 ) )
= $false )
| ( ( pred_attacker @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1184,plain,
! [SV192: $i,SV144: $i,SV85: $i] :
( ( ( pred_attacker @ ( tuple_3 @ SV85 @ SV144 @ SV192 ) )
= $false )
| ( ( pred_attacker @ SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1185,plain,
! [SV176: $i,SV145: $i,SV86: $i] :
( ( ( pred_attacker @ ( tuple_3 @ SV86 @ SV145 @ SV176 ) )
= $false )
| ( ( pred_attacker @ SV176 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1186,plain,
! [SV146: $i,SV87: $i] :
( ( ( pred_attacker @ SV87 )
= $false )
| ( ( ~ ( pred_attacker @ SV146 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV87 @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1187,plain,
! [SV90: $i,SV178: $i] :
( ( ( pred_attacker @ SV178 )
= $false )
| ( ( ~ ( pred_mess @ SV178 @ SV90 ) )
= $true )
| ( ( pred_attacker @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1188,plain,
! [SV91: $i,SV148: $i] :
( ( ( pred_attacker @ SV148 )
= $false )
| ( ( ~ ( pred_attacker @ SV91 ) )
= $true )
| ( ( pred_mess @ SV148 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1189,plain,
! [SV94: $i,SV149: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV149 ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ SV94 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1190,plain,
! [SV179: $i,SV95: $i,SV150: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1191,plain,
! [SV96: $i,SV180: $i,SV151: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1155]) ).
thf(1192,plain,
! [SV200: $i,SV152: $i,SV97: $i,SV193: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1193,plain,
! [SV153: $i,SV98: $i,SV201: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV201 @ SV98 ) ) )
= $true )
| ( ( ~ ( pred_table @ ( tuple_keys @ SV98 @ SV153 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV98 @ SV153 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1194,plain,
! [SV154: $i,SV99: $i] :
( ( ( SV99 = name_B )
= $true )
| ( ( SV99 = name_A )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV99 @ SV154 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV99 @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1195,plain,
! [SV26: $i,SV118: $i] :
( ( ( pred_attacker @ SV118 )
= $false )
| ( ( pred_attacker @ SV26 )
= $false )
| ( ( pred_attacker @ ( constr_sign @ SV26 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1196,plain,
! [SV36: $i,SV119: $i] :
( ( ( pred_attacker @ SV119 )
= $false )
| ( ( pred_attacker @ SV36 )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV36 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1197,plain,
! [SV39: $i,SV121: $i] :
( ( ( pred_attacker @ SV121 )
= $false )
| ( ( pred_attacker @ SV39 )
= $false )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV39 @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1198,plain,
! [SV43: $i,SV123: $i] :
( ( ( pred_attacker @ SV123 )
= $false )
| ( ( pred_attacker @ SV43 )
= $false )
| ( ( pred_attacker @ ( constr_enc @ SV43 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1199,plain,
! [SV196: $i,SV185: $i,SV166: $i,SV124: $i,SV44: $i] :
( ( ( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SV124 )
| ~ ( pred_attacker @ SV166 )
| ~ ( pred_attacker @ SV185 )
| ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1165]) ).
thf(1200,plain,
! [SV186: $i,SV167: $i,SV125: $i,SV45: $i] :
( ( ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV125 )
| ~ ( pred_attacker @ SV167 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV186 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1201,plain,
! [SV168: $i,SV126: $i,SV46: $i] :
( ( ( ~ ( pred_attacker @ SV46 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV126 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV168 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SV126 @ SV168 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1167]) ).
thf(1202,plain,
! [SV47: $i,SV127: $i] :
( ( ( pred_attacker @ SV127 )
= $false )
| ( ( pred_attacker @ SV47 )
= $false )
| ( ( pred_attacker @ ( constr_ecb_enc_1 @ SV47 @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1203,plain,
! [SV48: $i,SV128: $i] :
( ( ( pred_attacker @ SV128 )
= $false )
| ( ( pred_attacker @ SV48 )
= $false )
| ( ( pred_attacker @ ( constr_ecb_dec_4 @ SV48 @ SV128 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1204,plain,
! [SV49: $i,SV129: $i] :
( ( ( pred_attacker @ SV129 )
= $false )
| ( ( pred_attacker @ SV49 )
= $false )
| ( ( pred_attacker @ ( constr_ecb_dec_3 @ SV49 @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1205,plain,
! [SV50: $i,SV130: $i] :
( ( ( pred_attacker @ SV130 )
= $false )
| ( ( pred_attacker @ SV50 )
= $false )
| ( ( pred_attacker @ ( constr_ecb_dec_2 @ SV50 @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1206,plain,
! [SV51: $i,SV131: $i] :
( ( ( pred_attacker @ SV131 )
= $false )
| ( ( pred_attacker @ SV51 )
= $false )
| ( ( pred_attacker @ ( constr_ecb_dec_1 @ SV51 @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1207,plain,
! [SV52: $i,SV132: $i] :
( ( ( pred_attacker @ SV132 )
= $false )
| ( ( pred_attacker @ SV52 )
= $false )
| ( ( pred_attacker @ ( constr_dec @ SV52 @ SV132 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1208,plain,
! [SV57: $i,SV133: $i] :
( ( ( pred_attacker @ SV133 )
= $false )
| ( ( pred_attacker @ SV57 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV57 @ SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1209,plain,
! [SV70: $i,SV135: $i] :
( ( ( pred_attacker @ SV135 )
= $false )
| ( ( pred_attacker @ SV70 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV70 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1210,plain,
! [SV77: $i,SV137: $i] :
( ( ( pred_attacker @ SV137 )
= $false )
| ( ( pred_attacker @ SV77 )
= $false )
| ( ( pred_attacker @ ( constr_checksign @ SV77 @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1211,plain,
! [SV187: $i,SV171: $i,SV138: $i,SV78: $i] :
( ( ( ~ ( pred_attacker @ SV78 )
| ~ ( pred_attacker @ SV138 )
| ~ ( pred_attacker @ SV171 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV187 ) )
= $true )
| ( ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1212,plain,
! [SV197: $i,SV188: $i,SV139: $i,SV79: $i] :
( ( ( pred_attacker @ ( tuple_4 @ SV79 @ SV139 @ SV188 @ SV197 ) )
= $false )
| ( ( pred_attacker @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1213,plain,
! [SV198: $i,SV189: $i,SV140: $i,SV80: $i] :
( ( ( pred_attacker @ ( tuple_4 @ SV80 @ SV140 @ SV189 @ SV198 ) )
= $false )
| ( ( pred_attacker @ SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1214,plain,
! [SV199: $i,SV172: $i,SV141: $i,SV81: $i] :
( ( ( pred_attacker @ ( tuple_4 @ SV81 @ SV141 @ SV172 @ SV199 ) )
= $false )
| ( ( pred_attacker @ SV172 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1215,plain,
! [SV190: $i,SV173: $i,SV142: $i,SV82: $i] :
( ( ( pred_attacker @ ( tuple_4 @ SV82 @ SV142 @ SV173 @ SV190 ) )
= $false )
| ( ( pred_attacker @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1216,plain,
! [SV174: $i,SV143: $i,SV83: $i] :
( ( ( ~ ( pred_attacker @ SV83 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV143 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV174 ) )
= $true )
| ( ( pred_attacker @ ( tuple_3 @ SV83 @ SV143 @ SV174 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1217,plain,
! [SV87: $i,SV146: $i] :
( ( ( pred_attacker @ SV146 )
= $false )
| ( ( pred_attacker @ SV87 )
= $false )
| ( ( pred_attacker @ ( tuple_2 @ SV87 @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1218,plain,
! [SV90: $i,SV178: $i] :
( ( ( pred_mess @ SV178 @ SV90 )
= $false )
| ( ( pred_attacker @ SV178 )
= $false )
| ( ( pred_attacker @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1219,plain,
! [SV148: $i,SV91: $i] :
( ( ( pred_attacker @ SV91 )
= $false )
| ( ( pred_attacker @ SV148 )
= $false )
| ( ( pred_mess @ SV148 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1220,plain,
! [SV94: $i,SV149: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV149 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_ecb_enc_2 @ ( name_Na @ SV94 ) @ name_A @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV149 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1221,plain,
! [SV179: $i,SV95: $i,SV150: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1222,plain,
! [SV96: $i,SV180: $i,SV151: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1223,plain,
! [SV200: $i,SV152: $i,SV97: $i,SV193: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1224,plain,
! [SV153: $i,SV98: $i,SV201: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV201 @ SV98 ) )
= $false )
| ( ( ~ ( pred_table @ ( tuple_keys @ SV98 @ SV153 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV98 @ SV153 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1225,plain,
! [SV154: $i,SV99: $i] :
( ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV99 @ SV154 ) )
= $false )
| ( ( SV99 = name_A )
= $true )
| ( ( SV99 = name_B )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV99 @ SV154 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1226,plain,
! [SV196: $i,SV185: $i,SV166: $i,SV124: $i,SV44: $i] :
( ( ( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SV124 )
| ~ ( pred_attacker @ SV166 )
| ~ ( pred_attacker @ SV185 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1227,plain,
! [SV186: $i,SV167: $i,SV125: $i,SV45: $i] :
( ( ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV125 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV167 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV186 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1228,plain,
! [SV168: $i,SV126: $i,SV46: $i] :
( ( ( pred_attacker @ SV46 )
= $false )
| ( ( ~ ( pred_attacker @ SV126 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV168 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SV126 @ SV168 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1229,plain,
! [SV187: $i,SV171: $i,SV138: $i,SV78: $i] :
( ( ( ~ ( pred_attacker @ SV78 )
| ~ ( pred_attacker @ SV138 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV171 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV187 ) )
= $true )
| ( ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1230,plain,
! [SV174: $i,SV143: $i,SV83: $i] :
( ( ( pred_attacker @ SV83 )
= $false )
| ( ( ~ ( pred_attacker @ SV143 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV174 ) )
= $true )
| ( ( pred_attacker @ ( tuple_3 @ SV83 @ SV143 @ SV174 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1231,plain,
! [SV179: $i,SV95: $i,SV150: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1221]) ).
thf(1232,plain,
! [SV96: $i,SV180: $i,SV151: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1222]) ).
thf(1233,plain,
! [SV200: $i,SV152: $i,SV97: $i,SV193: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1234,plain,
! [SV201: $i,SV153: $i,SV98: $i] :
( ( ( pred_table @ ( tuple_keys @ SV98 @ SV153 ) )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV201 @ SV98 ) )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV98 @ SV153 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1235,plain,
! [SV196: $i,SV185: $i,SV166: $i,SV124: $i,SV44: $i] :
( ( ( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SV124 )
| ~ ( pred_attacker @ SV166 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV185 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1226]) ).
thf(1236,plain,
! [SV186: $i,SV167: $i,SV125: $i,SV45: $i] :
( ( ( ~ ( pred_attacker @ SV45 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV125 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV167 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV186 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1237,plain,
! [SV168: $i,SV46: $i,SV126: $i] :
( ( ( pred_attacker @ SV126 )
= $false )
| ( ( pred_attacker @ SV46 )
= $false )
| ( ( ~ ( pred_attacker @ SV168 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SV126 @ SV168 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1238,plain,
! [SV187: $i,SV171: $i,SV138: $i,SV78: $i] :
( ( ( ~ ( pred_attacker @ SV78 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV138 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV171 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV187 ) )
= $true )
| ( ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1229]) ).
thf(1239,plain,
! [SV174: $i,SV83: $i,SV143: $i] :
( ( ( pred_attacker @ SV143 )
= $false )
| ( ( pred_attacker @ SV83 )
= $false )
| ( ( ~ ( pred_attacker @ SV174 ) )
= $true )
| ( ( pred_attacker @ ( tuple_3 @ SV83 @ SV143 @ SV174 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1240,plain,
! [SV179: $i,SV95: $i,SV150: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1241,plain,
! [SV96: $i,SV180: $i,SV151: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1242,plain,
! [SV200: $i,SV152: $i,SV97: $i,SV193: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1243,plain,
! [SV196: $i,SV185: $i,SV166: $i,SV124: $i,SV44: $i] :
( ( ( ~ ( pred_attacker @ SV44 )
| ~ ( pred_attacker @ SV124 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV166 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV185 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1244,plain,
! [SV186: $i,SV167: $i,SV125: $i,SV45: $i] :
( ( ( pred_attacker @ SV45 )
= $false )
| ( ( ~ ( pred_attacker @ SV125 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV167 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV186 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1245,plain,
! [SV126: $i,SV46: $i,SV168: $i] :
( ( ( pred_attacker @ SV168 )
= $false )
| ( ( pred_attacker @ SV46 )
= $false )
| ( ( pred_attacker @ SV126 )
= $false )
| ( ( pred_attacker @ ( constr_ecb_enc_2 @ SV46 @ SV126 @ SV168 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1246,plain,
! [SV187: $i,SV171: $i,SV138: $i,SV78: $i] :
( ( ( pred_attacker @ SV78 )
= $false )
| ( ( ~ ( pred_attacker @ SV138 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV171 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV187 ) )
= $true )
| ( ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1247,plain,
! [SV143: $i,SV83: $i,SV174: $i] :
( ( ( pred_attacker @ SV174 )
= $false )
| ( ( pred_attacker @ SV83 )
= $false )
| ( ( pred_attacker @ SV143 )
= $false )
| ( ( pred_attacker @ ( tuple_3 @ SV83 @ SV143 @ SV174 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1248,plain,
! [SV179: $i,SV95: $i,SV150: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1249,plain,
! [SV96: $i,SV180: $i,SV151: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1250,plain,
! [SV200: $i,SV152: $i,SV97: $i,SV193: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1242]) ).
thf(1251,plain,
! [SV196: $i,SV185: $i,SV166: $i,SV124: $i,SV44: $i] :
( ( ( ~ ( pred_attacker @ SV44 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV124 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV166 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV185 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1252,plain,
! [SV186: $i,SV167: $i,SV45: $i,SV125: $i] :
( ( ( pred_attacker @ SV125 )
= $false )
| ( ( pred_attacker @ SV45 )
= $false )
| ( ( ~ ( pred_attacker @ SV167 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV186 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1253,plain,
! [SV187: $i,SV171: $i,SV78: $i,SV138: $i] :
( ( ( pred_attacker @ SV138 )
= $false )
| ( ( pred_attacker @ SV78 )
= $false )
| ( ( ~ ( pred_attacker @ SV171 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV187 ) )
= $true )
| ( ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1254,plain,
! [SV179: $i,SV150: $i,SV95: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1255,plain,
! [SV96: $i,SV151: $i,SV180: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1256,plain,
! [SV200: $i,SV152: $i,SV97: $i,SV193: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1250]) ).
thf(1257,plain,
! [SV196: $i,SV185: $i,SV166: $i,SV124: $i,SV44: $i] :
( ( ( pred_attacker @ SV44 )
= $false )
| ( ( ~ ( pred_attacker @ SV124 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV166 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV185 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1258,plain,
! [SV186: $i,SV125: $i,SV45: $i,SV167: $i] :
( ( ( pred_attacker @ SV167 )
= $false )
| ( ( pred_attacker @ SV45 )
= $false )
| ( ( pred_attacker @ SV125 )
= $false )
| ( ( ~ ( pred_attacker @ SV186 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1259,plain,
! [SV187: $i,SV138: $i,SV78: $i,SV171: $i] :
( ( ( pred_attacker @ SV171 )
= $false )
| ( ( pred_attacker @ SV78 )
= $false )
| ( ( pred_attacker @ SV138 )
= $false )
| ( ( ~ ( pred_attacker @ SV187 ) )
= $true )
| ( ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1260,plain,
! [SV179: $i,SV95: $i,SV150: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1261,plain,
! [SV96: $i,SV151: $i,SV180: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV180 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV151 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_ecb_enc_3 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_ecb_dec_2 @ SV151 @ name_skB ) ) @ ( name_Nb @ SV96 ) @ name_B @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV180 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1262,plain,
! [SV200: $i,SV152: $i,SV97: $i,SV193: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1263,plain,
! [SV196: $i,SV185: $i,SV166: $i,SV44: $i,SV124: $i] :
( ( ( pred_attacker @ SV124 )
= $false )
| ( ( pred_attacker @ SV44 )
= $false )
| ( ( ~ ( pred_attacker @ SV166 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV185 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1264,plain,
! [SV167: $i,SV45: $i,SV125: $i,SV186: $i] :
( ( ( pred_attacker @ SV186 )
= $false )
| ( ( pred_attacker @ SV125 )
= $false )
| ( ( pred_attacker @ SV45 )
= $false )
| ( ( pred_attacker @ SV167 )
= $false )
| ( ( pred_attacker @ ( constr_ecb_enc_3 @ SV45 @ SV125 @ SV167 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1265,plain,
! [SV171: $i,SV78: $i,SV138: $i,SV187: $i] :
( ( ( pred_attacker @ SV187 )
= $false )
| ( ( pred_attacker @ SV138 )
= $false )
| ( ( pred_attacker @ SV78 )
= $false )
| ( ( pred_attacker @ SV171 )
= $false )
| ( ( pred_attacker @ ( tuple_4 @ SV78 @ SV138 @ SV171 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1266,plain,
! [SV150: $i,SV95: $i,SV179: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1267,plain,
! [SV200: $i,SV152: $i,SV193: $i,SV97: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1268,plain,
! [SV196: $i,SV185: $i,SV124: $i,SV44: $i,SV166: $i] :
( ( ( pred_attacker @ SV166 )
= $false )
| ( ( pred_attacker @ SV44 )
= $false )
| ( ( pred_attacker @ SV124 )
= $false )
| ( ( ~ ( pred_attacker @ SV185 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1269,plain,
! [SV95: $i,SV150: $i,SV179: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV179 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV150 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_3_get_2 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Na @ SV95 ) @ ( constr_tuple_3_get_0x30 @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_ecb_enc_1 @ ( constr_tuple_3_get_1_bitstring @ ( constr_ecb_dec_3 @ SV150 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV179 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1270,plain,
! [SV200: $i,SV97: $i,SV193: $i,SV152: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1271,plain,
! [SV196: $i,SV166: $i,SV44: $i,SV124: $i,SV185: $i] :
( ( ( pred_attacker @ SV185 )
= $false )
| ( ( pred_attacker @ SV124 )
= $false )
| ( ( pred_attacker @ SV44 )
= $false )
| ( ( pred_attacker @ SV166 )
= $false )
| ( ( ~ ( pred_attacker @ SV196 ) )
= $true )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1272,plain,
! [SV200: $i,SV193: $i,SV97: $i,SV152: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1273,plain,
! [SV185: $i,SV124: $i,SV44: $i,SV166: $i,SV196: $i] :
( ( ( pred_attacker @ SV196 )
= $false )
| ( ( pred_attacker @ SV166 )
= $false )
| ( ( pred_attacker @ SV44 )
= $false )
| ( ( pred_attacker @ SV124 )
= $false )
| ( ( pred_attacker @ SV185 )
= $false )
| ( ( pred_attacker @ ( constr_ecb_enc_4 @ SV44 @ SV124 @ SV166 @ SV185 @ SV196 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1274,plain,
! [SV97: $i,SV193: $i,SV152: $i,SV200: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1275,plain,
! [SV193: $i,SV97: $i,SV152: $i,SV200: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV200 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV152 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV97 ) @ ( constr_ecb_dec_1 @ SV193 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV193 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ SV152 @ name_skB ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV200 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1276,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[655,1275,1273,1269,1265,1264,1261,1247,1245,1234,1225,1220,1219,1218,1217,1215,1214,1213,1212,1210,1209,1208,1207,1206,1205,1204,1203,1202,1198,1197,1196,1195,1185,1184,1183,1160,1159,1150,1149,1137,1136,1134,1133,1121,1120,1118,1117,1114,1112,1089,1088,1087,1086,1082,1081,1080,1079,1078,1077,1076,1075,1074,1073,1069,1068,1067,1066,1055,1048,1047,1046,1045,1044,1043,1042,1041,1040,1038,1037,1036,1035,1034,1033,1032,1031,1030,1029,1028,1025,943,942,941,938,937,932,928,927,926,925,918,917,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,742,739,738,737,736,735,734,731,730,729,728,713,712,711,710,709,673]) ).
thf(1277,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW963+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n003.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 17:09:34 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.12/1.94 .
% 9.12/1.94
% 9.12/1.94 No.of.Axioms: 195
% 9.12/1.94
% 9.12/1.94 Length.of.Defs: 0
% 9.12/1.94
% 9.12/1.94 Contains.Choice.Funs: false
% 9.12/1.94 ..............................
% 9.12/1.94
% 9.12/1.94 ********************************
% 9.12/1.94 * All subproblems solved! *
% 9.12/1.94 ********************************
% 9.12/1.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:195,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1276,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.12/1.94
% 9.12/1.94 %**** Beginning of derivation protocol ****
% 9.12/1.94 % SZS output start CNFRefutation
% See solution above
% 9.12/1.95
% 9.12/1.95 %**** End of derivation protocol ****
% 9.12/1.95 %**** no. of clauses in derivation: 1277 ****
% 9.12/1.95 %**** clause counter: 1276 ****
% 9.12/1.95
% 9.12/1.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:195,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1276,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------