%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW960+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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 11:02:15 AM UTC 2026
% Result : Theorem 6.24s 1.22s
% Output : CNFRefutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 169
% Syntax : Number of formulae : 1081 ( 784 unt; 0 typ; 0 def)
% Number of atoms : 4789 (1786 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 6901 (1396 ~; 801 |; 84 &;4437 @)
% ( 0 <=>; 183 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 58 ( 55 usr; 18 con; 0-2 aty)
% Number of variables : 1142 ( 0 ^;1142 !; 0 ?;1142 :)
% 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_adec,type,
constr_adec: $i > $i > $i ).
thf(tp_constr_aenc,type,
constr_aenc: $i > $i > $i ).
thf(tp_constr_checksign,type,
constr_checksign: $i > $i > $i ).
thf(tp_constr_dec,type,
constr_dec: $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_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_sK1_VAR_V_651,type,
sK1_VAR_V_651: $i ).
thf(tp_tuple_2,type,
tuple_2: $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_642: $i,VAR_PK_643: $i] :
( ( ( VAR_HOST_642 != name_B )
& ( VAR_HOST_642 != name_A )
& ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_HOST_642 @ VAR_PK_643 ) ) )
=> ( pred_table @ ( tuple_keys @ VAR_HOST_642 @ VAR_PK_643 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).
thf(2,axiom,
! [VAR_DST_588: $i,VAR_PKDST_589: $i,VAR_SRC_590X30: $i] :
( ( ( pred_table @ ( tuple_keys @ VAR_DST_588 @ VAR_PKDST_589 ) )
& ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_SRC_590X30 @ VAR_DST_588 ) ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ VAR_DST_588 @ VAR_PKDST_589 ) @ name_skS ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).
thf(3,axiom,
! [VAR_0X40SID_546: $i,VAR_AENC_NA_A_548: $i,VAR_AENC_NB_547: $i,VAR_SIGN_A_PKA_549: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_546 ) @ ( constr_adec @ VAR_AENC_NB_547 @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_AENC_NB_547 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_548 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_548 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_549 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_549 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).
thf(4,axiom,
! [VAR_0X40SID_524: $i,VAR_AENC_NA_A_522: $i,VAR_SIGN_A_PKA_523: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_522 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_522 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_523 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_523 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ VAR_AENC_NA_A_522 @ name_skB ) ) @ ( name_Nb @ VAR_0X40SID_524 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_523 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).
thf(5,axiom,
pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax163) ).
thf(6,axiom,
! [VAR_0X40SID_415: $i,VAR_AENC_NA_NI_416: $i,VAR_SIGN_I_PKI_417: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_415 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ VAR_AENC_NA_NI_416 @ name_skA ) ) )
& ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_AENC_NA_NI_416 ) )
& ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_417 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_417 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ VAR_AENC_NA_NI_416 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_417 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).
thf(7,axiom,
! [VAR_0X40SID_367: $i,VAR_SIGN_I_PKI_366: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_366 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_366 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ VAR_0X40SID_367 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_366 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).
thf(8,axiom,
pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).
thf(9,axiom,
pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).
thf(10,axiom,
pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax158) ).
thf(11,axiom,
pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).
thf(12,axiom,
pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).
thf(13,axiom,
pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).
thf(14,axiom,
! [VAR_V_247: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_247 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).
thf(15,axiom,
! [VAR_V_246: $i] : ( pred_equal @ VAR_V_246 @ VAR_V_246 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax153) ).
thf(16,axiom,
pred_attacker @ name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).
thf(17,axiom,
pred_attacker @ name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).
thf(18,axiom,
pred_attacker @ name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax150) ).
thf(19,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).
thf(20,axiom,
! [VAR_V_243: $i,VAR_V_244: $i] :
( ( ( pred_attacker @ VAR_V_244 )
& ( pred_attacker @ VAR_V_243 ) )
=> ( pred_mess @ VAR_V_244 @ VAR_V_243 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).
thf(21,axiom,
! [VAR_V_241: $i,VAR_V_242: $i] :
( ( ( pred_mess @ VAR_V_242 @ VAR_V_241 )
& ( pred_attacker @ VAR_V_242 ) )
=> ( pred_attacker @ VAR_V_241 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax147) ).
thf(22,axiom,
! [VAR_V_238: $i,VAR_V_239: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_238 @ VAR_V_239 ) )
=> ( pred_attacker @ VAR_V_239 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax146) ).
thf(23,axiom,
! [VAR_V_235: $i,VAR_V_236: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_235 @ VAR_V_236 ) )
=> ( pred_attacker @ VAR_V_235 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).
thf(24,axiom,
! [VAR_V_227: $i,VAR_V_228: $i] :
( ( ( pred_attacker @ VAR_V_227 )
& ( pred_attacker @ VAR_V_228 ) )
=> ( pred_attacker @ ( tuple_2 @ VAR_V_227 @ VAR_V_228 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).
thf(25,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).
thf(26,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).
thf(27,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
thf(28,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).
thf(29,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).
thf(30,axiom,
! [VAR_V_219: $i,VAR_V_220X30: $i] :
( ( ( pred_attacker @ VAR_V_219 )
& ( pred_attacker @ VAR_V_220X30 ) )
=> ( pred_attacker @ ( constr_adec @ VAR_V_219 @ VAR_V_220X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).
thf(31,axiom,
! [VAR_V_215: $i,VAR_V_216: $i] :
( ( ( pred_attacker @ VAR_V_215 )
& ( pred_attacker @ VAR_V_216 ) )
=> ( pred_attacker @ ( constr_aenc @ VAR_V_215 @ VAR_V_216 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).
thf(32,axiom,
! [VAR_V_211: $i,VAR_V_212: $i] :
( ( ( pred_attacker @ VAR_V_211 )
& ( pred_attacker @ VAR_V_212 ) )
=> ( pred_attacker @ ( constr_checksign @ VAR_V_211 @ VAR_V_212 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
thf(33,axiom,
! [VAR_V_20X307: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X307 ) )
=> ( pred_attacker @ VAR_V_20X307 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).
thf(34,axiom,
! [VAR_V_20X304: $i] :
( ( pred_attacker @ VAR_V_20X304 )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X304 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
thf(35,axiom,
! [VAR_V_20X301: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X301 ) )
=> ( pred_attacker @ VAR_V_20X301 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).
thf(36,axiom,
! [VAR_V_198: $i] :
( ( pred_attacker @ VAR_V_198 )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_198 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).
thf(37,axiom,
! [VAR_V_194: $i,VAR_V_195: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_194 @ VAR_V_195 ) )
=> ( pred_attacker @ VAR_V_195 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
thf(38,axiom,
! [VAR_V_191: $i,VAR_V_192: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_191 @ VAR_V_192 ) )
=> ( pred_attacker @ VAR_V_191 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).
thf(39,axiom,
! [VAR_V_183: $i,VAR_V_184: $i] :
( ( ( pred_attacker @ VAR_V_183 )
& ( pred_attacker @ VAR_V_184 ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_183 @ VAR_V_184 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).
thf(40,axiom,
! [VAR_V_179: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_179 ) )
=> ( pred_attacker @ VAR_V_179 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).
thf(41,axiom,
! [VAR_V_176: $i] :
( ( pred_attacker @ VAR_V_176 )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_176 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax127) ).
thf(42,axiom,
! [VAR_V_173: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_173 ) )
=> ( pred_attacker @ VAR_V_173 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
thf(43,axiom,
! [VAR_V_170X30: $i] :
( ( pred_attacker @ VAR_V_170X30 )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_170X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).
thf(44,axiom,
! [VAR_V_167: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_167 ) )
=> ( pred_attacker @ VAR_V_167 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).
thf(45,axiom,
! [VAR_V_164: $i] :
( ( pred_attacker @ VAR_V_164 )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_164 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).
thf(46,axiom,
! [VAR_V_161: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_161 ) )
=> ( pred_attacker @ VAR_V_161 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
thf(47,axiom,
! [VAR_V_158: $i] :
( ( pred_attacker @ VAR_V_158 )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_158 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).
thf(48,axiom,
! [VAR_V_155: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_155 ) )
=> ( pred_attacker @ VAR_V_155 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).
thf(49,axiom,
! [VAR_V_152: $i] :
( ( pred_attacker @ VAR_V_152 )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_152 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).
thf(50,axiom,
! [VAR_V_148: $i,VAR_V_149: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_148 @ VAR_V_149 ) )
=> ( pred_attacker @ VAR_V_149 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).
thf(51,axiom,
! [VAR_V_145: $i,VAR_V_146: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_145 @ VAR_V_146 ) )
=> ( pred_attacker @ VAR_V_145 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
thf(52,axiom,
! [VAR_V_137: $i,VAR_V_138: $i] :
( ( ( pred_attacker @ VAR_V_137 )
& ( pred_attacker @ VAR_V_138 ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_137 @ VAR_V_138 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
thf(53,axiom,
! [VAR_V_133: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_133 ) )
=> ( pred_attacker @ VAR_V_133 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).
thf(54,axiom,
! [VAR_V_130X30: $i] :
( ( pred_attacker @ VAR_V_130X30 )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_130X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).
thf(55,axiom,
! [VAR_V_127: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_127 ) )
=> ( pred_attacker @ VAR_V_127 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
thf(56,axiom,
! [VAR_V_124: $i] :
( ( pred_attacker @ VAR_V_124 )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_124 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).
thf(57,axiom,
! [VAR_V_121: $i,VAR_V_122: $i] :
( ( ( pred_attacker @ VAR_V_121 )
& ( pred_attacker @ VAR_V_122 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_121 @ VAR_V_122 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
thf(58,axiom,
! [VAR_V_117: $i,VAR_V_118: $i] :
( ( ( pred_attacker @ VAR_V_117 )
& ( pred_attacker @ VAR_V_118 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_117 @ VAR_V_118 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).
thf(59,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
thf(60,axiom,
! [VAR_V_114: $i] :
( ( pred_attacker @ VAR_V_114 )
=> ( pred_attacker @ ( constr_getmess @ VAR_V_114 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).
thf(61,axiom,
! [VAR_V_110X30: $i,VAR_V_111: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_110X30 @ VAR_V_111 ) )
=> ( pred_attacker @ VAR_V_111 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).
thf(62,axiom,
! [VAR_V_10X307: $i,VAR_V_10X308: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X307 @ VAR_V_10X308 ) )
=> ( pred_attacker @ VAR_V_10X307 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
thf(63,axiom,
! [VAR_V_99: $i,VAR_V_10X300X30: $i] :
( ( ( pred_attacker @ VAR_V_99 )
& ( pred_attacker @ VAR_V_10X300X30 ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_99 @ VAR_V_10X300X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
thf(64,axiom,
! [VAR_V_94: $i,VAR_V_95: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_94 @ VAR_V_95 ) )
=> ( pred_attacker @ VAR_V_95 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
thf(65,axiom,
! [VAR_V_91: $i,VAR_V_92: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_91 @ VAR_V_92 ) )
=> ( pred_attacker @ VAR_V_91 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
thf(66,axiom,
! [VAR_V_83: $i,VAR_V_84: $i] :
( ( ( pred_attacker @ VAR_V_83 )
& ( pred_attacker @ VAR_V_84 ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_83 @ VAR_V_84 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
thf(67,axiom,
! [VAR_V_79: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_79 ) )
=> ( pred_attacker @ VAR_V_79 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
thf(68,axiom,
! [VAR_V_76: $i] :
( ( pred_attacker @ VAR_V_76 )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_76 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).
thf(69,axiom,
! [VAR_V_72: $i] :
( ( pred_attacker @ ( tuple_out_1 @ VAR_V_72 ) )
=> ( pred_attacker @ VAR_V_72 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).
thf(70,axiom,
! [VAR_V_69: $i] :
( ( pred_attacker @ VAR_V_69 )
=> ( pred_attacker @ ( tuple_out_1 @ VAR_V_69 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).
thf(71,axiom,
! [VAR_V_66: $i] :
( ( pred_attacker @ ( tuple_out_2 @ VAR_V_66 ) )
=> ( pred_attacker @ VAR_V_66 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).
thf(72,axiom,
! [VAR_V_63: $i] :
( ( pred_attacker @ VAR_V_63 )
=> ( pred_attacker @ ( tuple_out_2 @ VAR_V_63 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).
thf(73,axiom,
! [VAR_V_60X30: $i] :
( ( pred_attacker @ ( tuple_out_3 @ VAR_V_60X30 ) )
=> ( pred_attacker @ VAR_V_60X30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
thf(74,axiom,
! [VAR_V_57: $i] :
( ( pred_attacker @ VAR_V_57 )
=> ( pred_attacker @ ( tuple_out_3 @ VAR_V_57 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
thf(75,axiom,
! [VAR_V_55: $i] :
( ( pred_attacker @ VAR_V_55 )
=> ( pred_attacker @ ( constr_pkey @ VAR_V_55 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
thf(76,axiom,
! [VAR_V_52: $i,VAR_V_53: $i] :
( ( ( pred_attacker @ VAR_V_52 )
& ( pred_attacker @ VAR_V_53 ) )
=> ( pred_attacker @ ( constr_sign @ VAR_V_52 @ VAR_V_53 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
thf(77,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
thf(78,axiom,
! [VAR_V_49: $i] :
( ( pred_attacker @ VAR_V_49 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_49 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
thf(79,axiom,
! [VAR_V_47: $i] :
( ( pred_attacker @ VAR_V_47 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ VAR_V_47 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
thf(80,axiom,
! [VAR_V_45: $i] :
( ( pred_attacker @ VAR_V_45 )
=> ( pred_attacker @ ( constr_tuple_2_get_1 @ VAR_V_45 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
thf(81,axiom,
! [VAR_V_43: $i] :
( ( pred_attacker @ VAR_V_43 )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_43 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
thf(82,axiom,
! [VAR_X_36: $i,VAR_Y_37: $i] : ( pred_eq_bitstring_bitstring @ VAR_X_36 @ VAR_Y_37 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
thf(83,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/sandbox/benchmark/theBenchmark.p',ax85) ).
thf(84,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/sandbox/benchmark/theBenchmark.p',ax84) ).
thf(85,axiom,
! [VAR_X0X30_9: $i,VAR_X1_10X30: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ VAR_X0X30_9 @ VAR_X1_10X30 ) )
= VAR_X0X30_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
thf(86,axiom,
! [VAR_X0X30_11: $i,VAR_X1_12: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_11 @ VAR_X1_12 ) )
= VAR_X1_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
thf(87,axiom,
! [VAR_K_0X30: $i,VAR_M_0X30: $i] :
( ( constr_checksign @ ( constr_sign @ VAR_M_0X30 @ VAR_K_0X30 ) @ ( constr_pkey @ VAR_K_0X30 ) )
= VAR_M_0X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
thf(88,axiom,
! [VAR_K_14: $i,VAR_M_13: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_13 @ VAR_K_14 ) )
= VAR_M_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(89,axiom,
! [VAR_K_16: $i,VAR_M_15: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_15 @ VAR_K_16 ) @ VAR_K_16 )
= VAR_M_15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(90,axiom,
! [VAR_K_18: $i,VAR_M_17: $i] :
( ( constr_adec @ ( constr_aenc @ VAR_M_17 @ ( constr_pkey @ VAR_K_18 ) ) @ VAR_K_18 )
= VAR_M_17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(91,axiom,
name_skB != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(92,axiom,
name_skA != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
thf(93,axiom,
name_skA != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
thf(94,axiom,
name_objective != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
thf(95,axiom,
name_objective != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(96,axiom,
name_objective != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(97,axiom,
name_c != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(98,axiom,
name_c != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(99,axiom,
name_c != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
thf(100,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(101,axiom,
name_I != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(102,axiom,
name_I != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(103,axiom,
name_I != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(104,axiom,
name_I != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(105,axiom,
name_I != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(106,axiom,
name_B != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(107,axiom,
name_B != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(108,axiom,
name_B != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(109,axiom,
name_B != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(110,axiom,
name_B != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(111,axiom,
name_B != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(112,axiom,
name_A != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(113,axiom,
name_A != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(114,axiom,
name_A != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(115,axiom,
name_A != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(116,axiom,
name_A != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(117,axiom,
name_A != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(118,axiom,
name_A != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(119,axiom,
constr_CONST_4 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(120,axiom,
constr_CONST_4 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(121,axiom,
constr_CONST_4 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(122,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(123,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(124,axiom,
constr_CONST_4 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(125,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(126,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(127,axiom,
constr_CONST_3 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(128,axiom,
constr_CONST_3 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(129,axiom,
constr_CONST_3 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(130,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(131,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(132,axiom,
constr_CONST_3 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(133,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(134,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(135,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(136,axiom,
constr_CONST_2 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(137,axiom,
constr_CONST_2 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(138,axiom,
constr_CONST_2 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(139,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(140,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(141,axiom,
constr_CONST_2 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(142,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(143,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(144,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(145,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(146,axiom,
constr_CONST_1 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(147,axiom,
constr_CONST_1 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(148,axiom,
constr_CONST_1 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(149,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(150,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(151,axiom,
constr_CONST_1 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(152,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(153,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(154,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(155,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(156,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(157,axiom,
constr_CONST_0x30 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(158,axiom,
constr_CONST_0x30 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(159,axiom,
constr_CONST_0x30 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(160,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(161,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(162,axiom,
constr_CONST_0x30 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(163,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(164,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(165,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(166,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(167,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(168,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(169,conjecture,
! [VAR_V_651: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ VAR_V_651 ) @ name_objective ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(170,negated_conjecture,
( ( ! [VAR_V_651: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ VAR_V_651 ) @ name_objective ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[169]) ).
thf(171,plain,
( ( ! [VAR_V_651: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ VAR_V_651 ) @ name_objective ) ) )
= $false ),
inference(unfold_def,[status(thm)],[170]) ).
thf(172,plain,
( ( ! [VAR_HOST_642: $i,VAR_PK_643: $i] :
( ( ( VAR_HOST_642 != name_B )
& ( VAR_HOST_642 != name_A )
& ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_HOST_642 @ VAR_PK_643 ) ) )
=> ( pred_table @ ( tuple_keys @ VAR_HOST_642 @ VAR_PK_643 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(173,plain,
( ( ! [VAR_DST_588: $i,VAR_PKDST_589: $i,VAR_SRC_590X30: $i] :
( ( ( pred_table @ ( tuple_keys @ VAR_DST_588 @ VAR_PKDST_589 ) )
& ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_SRC_590X30 @ VAR_DST_588 ) ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ VAR_DST_588 @ VAR_PKDST_589 ) @ name_skS ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(174,plain,
( ( ! [VAR_0X40SID_546: $i,VAR_AENC_NA_A_548: $i,VAR_AENC_NB_547: $i,VAR_SIGN_A_PKA_549: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_546 ) @ ( constr_adec @ VAR_AENC_NB_547 @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_AENC_NB_547 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_548 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_548 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_549 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_549 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(175,plain,
( ( ! [VAR_0X40SID_524: $i,VAR_AENC_NA_A_522: $i,VAR_SIGN_A_PKA_523: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_522 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_522 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_523 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_523 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ VAR_AENC_NA_A_522 @ name_skB ) ) @ ( name_Nb @ VAR_0X40SID_524 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_523 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(176,plain,
( ( pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(177,plain,
( ( ! [VAR_0X40SID_415: $i,VAR_AENC_NA_NI_416: $i,VAR_SIGN_I_PKI_417: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_415 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ VAR_AENC_NA_NI_416 @ name_skA ) ) )
& ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_AENC_NA_NI_416 ) )
& ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_417 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_417 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ VAR_AENC_NA_NI_416 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_417 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(178,plain,
( ( ! [VAR_0X40SID_367: $i,VAR_SIGN_I_PKI_366: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_366 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_366 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ VAR_0X40SID_367 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_366 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(179,plain,
( ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(180,plain,
( ( pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(181,plain,
( ( pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(182,plain,
( ( pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(183,plain,
( ( pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(184,plain,
( ( pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(185,plain,
( ( ! [VAR_V_247: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_247 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(186,plain,
( ( ! [VAR_V_246: $i] : ( pred_equal @ VAR_V_246 @ VAR_V_246 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(187,plain,
( ( pred_attacker @ name_A )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(188,plain,
( ( pred_attacker @ name_B )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(189,plain,
( ( pred_attacker @ name_I )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(190,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(191,plain,
( ( ! [VAR_V_243: $i,VAR_V_244: $i] :
( ( ( pred_attacker @ VAR_V_244 )
& ( pred_attacker @ VAR_V_243 ) )
=> ( pred_mess @ VAR_V_244 @ VAR_V_243 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(192,plain,
( ( ! [VAR_V_241: $i,VAR_V_242: $i] :
( ( ( pred_mess @ VAR_V_242 @ VAR_V_241 )
& ( pred_attacker @ VAR_V_242 ) )
=> ( pred_attacker @ VAR_V_241 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(193,plain,
( ( ! [VAR_V_238: $i,VAR_V_239: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_238 @ VAR_V_239 ) )
=> ( pred_attacker @ VAR_V_239 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(194,plain,
( ( ! [VAR_V_235: $i,VAR_V_236: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_235 @ VAR_V_236 ) )
=> ( pred_attacker @ VAR_V_235 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(195,plain,
( ( ! [VAR_V_227: $i,VAR_V_228: $i] :
( ( ( pred_attacker @ VAR_V_227 )
& ( pred_attacker @ VAR_V_228 ) )
=> ( pred_attacker @ ( tuple_2 @ VAR_V_227 @ VAR_V_228 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(196,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(197,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(198,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(199,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(200,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(201,plain,
( ( ! [VAR_V_219: $i,VAR_V_220X30: $i] :
( ( ( pred_attacker @ VAR_V_219 )
& ( pred_attacker @ VAR_V_220X30 ) )
=> ( pred_attacker @ ( constr_adec @ VAR_V_219 @ VAR_V_220X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(202,plain,
( ( ! [VAR_V_215: $i,VAR_V_216: $i] :
( ( ( pred_attacker @ VAR_V_215 )
& ( pred_attacker @ VAR_V_216 ) )
=> ( pred_attacker @ ( constr_aenc @ VAR_V_215 @ VAR_V_216 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(203,plain,
( ( ! [VAR_V_211: $i,VAR_V_212: $i] :
( ( ( pred_attacker @ VAR_V_211 )
& ( pred_attacker @ VAR_V_212 ) )
=> ( pred_attacker @ ( constr_checksign @ VAR_V_211 @ VAR_V_212 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(204,plain,
( ( ! [VAR_V_20X307: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X307 ) )
=> ( pred_attacker @ VAR_V_20X307 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(205,plain,
( ( ! [VAR_V_20X304: $i] :
( ( pred_attacker @ VAR_V_20X304 )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X304 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(206,plain,
( ( ! [VAR_V_20X301: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X301 ) )
=> ( pred_attacker @ VAR_V_20X301 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(207,plain,
( ( ! [VAR_V_198: $i] :
( ( pred_attacker @ VAR_V_198 )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_198 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(208,plain,
( ( ! [VAR_V_194: $i,VAR_V_195: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_194 @ VAR_V_195 ) )
=> ( pred_attacker @ VAR_V_195 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(209,plain,
( ( ! [VAR_V_191: $i,VAR_V_192: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_191 @ VAR_V_192 ) )
=> ( pred_attacker @ VAR_V_191 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(210,plain,
( ( ! [VAR_V_183: $i,VAR_V_184: $i] :
( ( ( pred_attacker @ VAR_V_183 )
& ( pred_attacker @ VAR_V_184 ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_183 @ VAR_V_184 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(211,plain,
( ( ! [VAR_V_179: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_179 ) )
=> ( pred_attacker @ VAR_V_179 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(212,plain,
( ( ! [VAR_V_176: $i] :
( ( pred_attacker @ VAR_V_176 )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_176 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(213,plain,
( ( ! [VAR_V_173: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_173 ) )
=> ( pred_attacker @ VAR_V_173 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(214,plain,
( ( ! [VAR_V_170X30: $i] :
( ( pred_attacker @ VAR_V_170X30 )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_170X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(215,plain,
( ( ! [VAR_V_167: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_167 ) )
=> ( pred_attacker @ VAR_V_167 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(216,plain,
( ( ! [VAR_V_164: $i] :
( ( pred_attacker @ VAR_V_164 )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_164 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(217,plain,
( ( ! [VAR_V_161: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_161 ) )
=> ( pred_attacker @ VAR_V_161 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(218,plain,
( ( ! [VAR_V_158: $i] :
( ( pred_attacker @ VAR_V_158 )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_158 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(219,plain,
( ( ! [VAR_V_155: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_155 ) )
=> ( pred_attacker @ VAR_V_155 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(220,plain,
( ( ! [VAR_V_152: $i] :
( ( pred_attacker @ VAR_V_152 )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_152 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(221,plain,
( ( ! [VAR_V_148: $i,VAR_V_149: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_148 @ VAR_V_149 ) )
=> ( pred_attacker @ VAR_V_149 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(222,plain,
( ( ! [VAR_V_145: $i,VAR_V_146: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_145 @ VAR_V_146 ) )
=> ( pred_attacker @ VAR_V_145 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(223,plain,
( ( ! [VAR_V_137: $i,VAR_V_138: $i] :
( ( ( pred_attacker @ VAR_V_137 )
& ( pred_attacker @ VAR_V_138 ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_137 @ VAR_V_138 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(224,plain,
( ( ! [VAR_V_133: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_133 ) )
=> ( pred_attacker @ VAR_V_133 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(225,plain,
( ( ! [VAR_V_130X30: $i] :
( ( pred_attacker @ VAR_V_130X30 )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_130X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(226,plain,
( ( ! [VAR_V_127: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_127 ) )
=> ( pred_attacker @ VAR_V_127 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(227,plain,
( ( ! [VAR_V_124: $i] :
( ( pred_attacker @ VAR_V_124 )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_124 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(228,plain,
( ( ! [VAR_V_121: $i,VAR_V_122: $i] :
( ( ( pred_attacker @ VAR_V_121 )
& ( pred_attacker @ VAR_V_122 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_121 @ VAR_V_122 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(229,plain,
( ( ! [VAR_V_117: $i,VAR_V_118: $i] :
( ( ( pred_attacker @ VAR_V_117 )
& ( pred_attacker @ VAR_V_118 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_117 @ VAR_V_118 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(230,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(231,plain,
( ( ! [VAR_V_114: $i] :
( ( pred_attacker @ VAR_V_114 )
=> ( pred_attacker @ ( constr_getmess @ VAR_V_114 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(232,plain,
( ( ! [VAR_V_110X30: $i,VAR_V_111: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_110X30 @ VAR_V_111 ) )
=> ( pred_attacker @ VAR_V_111 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(233,plain,
( ( ! [VAR_V_10X307: $i,VAR_V_10X308: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X307 @ VAR_V_10X308 ) )
=> ( pred_attacker @ VAR_V_10X307 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(234,plain,
( ( ! [VAR_V_99: $i,VAR_V_10X300X30: $i] :
( ( ( pred_attacker @ VAR_V_99 )
& ( pred_attacker @ VAR_V_10X300X30 ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_99 @ VAR_V_10X300X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(235,plain,
( ( ! [VAR_V_94: $i,VAR_V_95: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_94 @ VAR_V_95 ) )
=> ( pred_attacker @ VAR_V_95 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(236,plain,
( ( ! [VAR_V_91: $i,VAR_V_92: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_91 @ VAR_V_92 ) )
=> ( pred_attacker @ VAR_V_91 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(237,plain,
( ( ! [VAR_V_83: $i,VAR_V_84: $i] :
( ( ( pred_attacker @ VAR_V_83 )
& ( pred_attacker @ VAR_V_84 ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_83 @ VAR_V_84 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(238,plain,
( ( ! [VAR_V_79: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_79 ) )
=> ( pred_attacker @ VAR_V_79 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(239,plain,
( ( ! [VAR_V_76: $i] :
( ( pred_attacker @ VAR_V_76 )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_76 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(240,plain,
( ( ! [VAR_V_72: $i] :
( ( pred_attacker @ ( tuple_out_1 @ VAR_V_72 ) )
=> ( pred_attacker @ VAR_V_72 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(241,plain,
( ( ! [VAR_V_69: $i] :
( ( pred_attacker @ VAR_V_69 )
=> ( pred_attacker @ ( tuple_out_1 @ VAR_V_69 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(242,plain,
( ( ! [VAR_V_66: $i] :
( ( pred_attacker @ ( tuple_out_2 @ VAR_V_66 ) )
=> ( pred_attacker @ VAR_V_66 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(243,plain,
( ( ! [VAR_V_63: $i] :
( ( pred_attacker @ VAR_V_63 )
=> ( pred_attacker @ ( tuple_out_2 @ VAR_V_63 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(244,plain,
( ( ! [VAR_V_60X30: $i] :
( ( pred_attacker @ ( tuple_out_3 @ VAR_V_60X30 ) )
=> ( pred_attacker @ VAR_V_60X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(245,plain,
( ( ! [VAR_V_57: $i] :
( ( pred_attacker @ VAR_V_57 )
=> ( pred_attacker @ ( tuple_out_3 @ VAR_V_57 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(246,plain,
( ( ! [VAR_V_55: $i] :
( ( pred_attacker @ VAR_V_55 )
=> ( pred_attacker @ ( constr_pkey @ VAR_V_55 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(247,plain,
( ( ! [VAR_V_52: $i,VAR_V_53: $i] :
( ( ( pred_attacker @ VAR_V_52 )
& ( pred_attacker @ VAR_V_53 ) )
=> ( pred_attacker @ ( constr_sign @ VAR_V_52 @ VAR_V_53 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(248,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(249,plain,
( ( ! [VAR_V_49: $i] :
( ( pred_attacker @ VAR_V_49 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_49 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(250,plain,
( ( ! [VAR_V_47: $i] :
( ( pred_attacker @ VAR_V_47 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ VAR_V_47 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(251,plain,
( ( ! [VAR_V_45: $i] :
( ( pred_attacker @ VAR_V_45 )
=> ( pred_attacker @ ( constr_tuple_2_get_1 @ VAR_V_45 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(252,plain,
( ( ! [VAR_V_43: $i] :
( ( pred_attacker @ VAR_V_43 )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_43 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(253,plain,
( ( ! [VAR_X_36: $i,VAR_Y_37: $i] : ( pred_eq_bitstring_bitstring @ VAR_X_36 @ VAR_Y_37 ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(254,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)],[83]) ).
thf(255,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)],[84]) ).
thf(256,plain,
( ( ! [VAR_X0X30_9: $i,VAR_X1_10X30: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ VAR_X0X30_9 @ VAR_X1_10X30 ) )
= VAR_X0X30_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(257,plain,
( ( ! [VAR_X0X30_11: $i,VAR_X1_12: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_11 @ VAR_X1_12 ) )
= VAR_X1_12 ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(258,plain,
( ( ! [VAR_K_0X30: $i,VAR_M_0X30: $i] :
( ( constr_checksign @ ( constr_sign @ VAR_M_0X30 @ VAR_K_0X30 ) @ ( constr_pkey @ VAR_K_0X30 ) )
= VAR_M_0X30 ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(259,plain,
( ( ! [VAR_K_14: $i,VAR_M_13: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_13 @ VAR_K_14 ) )
= VAR_M_13 ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(260,plain,
( ( ! [VAR_K_16: $i,VAR_M_15: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_15 @ VAR_K_16 ) @ VAR_K_16 )
= VAR_M_15 ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(261,plain,
( ( ! [VAR_K_18: $i,VAR_M_17: $i] :
( ( constr_adec @ ( constr_aenc @ VAR_M_17 @ ( constr_pkey @ VAR_K_18 ) ) @ VAR_K_18 )
= VAR_M_17 ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(262,plain,
( ( name_skB != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(263,plain,
( ( name_skA != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(264,plain,
( ( name_skA != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(265,plain,
( ( name_objective != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(266,plain,
( ( name_objective != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(267,plain,
( ( name_objective != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(268,plain,
( ( name_c != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(269,plain,
( ( name_c != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(270,plain,
( ( name_c != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(271,plain,
( ( name_c != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(272,plain,
( ( name_I != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(273,plain,
( ( name_I != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(274,plain,
( ( name_I != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(275,plain,
( ( name_I != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(276,plain,
( ( name_I != name_c )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(277,plain,
( ( name_B != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(278,plain,
( ( name_B != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(279,plain,
( ( name_B != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(280,plain,
( ( name_B != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(281,plain,
( ( name_B != name_c )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(282,plain,
( ( name_B != name_I )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(283,plain,
( ( name_A != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(284,plain,
( ( name_A != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(285,plain,
( ( name_A != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(286,plain,
( ( name_A != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(287,plain,
( ( name_A != name_c )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(288,plain,
( ( name_A != name_I )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(289,plain,
( ( name_A != name_B )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(290,plain,
( ( constr_CONST_4 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(291,plain,
( ( constr_CONST_4 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(292,plain,
( ( constr_CONST_4 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(293,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(294,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(295,plain,
( ( constr_CONST_4 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(296,plain,
( ( constr_CONST_4 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(297,plain,
( ( constr_CONST_4 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(298,plain,
( ( constr_CONST_3 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(299,plain,
( ( constr_CONST_3 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(300,plain,
( ( constr_CONST_3 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(301,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(302,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(303,plain,
( ( constr_CONST_3 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(304,plain,
( ( constr_CONST_3 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(305,plain,
( ( constr_CONST_3 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(306,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(307,plain,
( ( constr_CONST_2 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(308,plain,
( ( constr_CONST_2 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(309,plain,
( ( constr_CONST_2 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(310,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(311,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(312,plain,
( ( constr_CONST_2 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(313,plain,
( ( constr_CONST_2 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(314,plain,
( ( constr_CONST_2 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(315,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(316,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(317,plain,
( ( constr_CONST_1 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(318,plain,
( ( constr_CONST_1 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(319,plain,
( ( constr_CONST_1 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(320,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(321,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(322,plain,
( ( constr_CONST_1 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(323,plain,
( ( constr_CONST_1 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(324,plain,
( ( constr_CONST_1 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(325,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(326,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(327,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(328,plain,
( ( constr_CONST_0x30 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(329,plain,
( ( constr_CONST_0x30 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(330,plain,
( ( constr_CONST_0x30 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(331,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(332,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(333,plain,
( ( constr_CONST_0x30 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(334,plain,
( ( constr_CONST_0x30 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(335,plain,
( ( constr_CONST_0x30 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(336,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(337,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(338,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(339,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(340,plain,
( ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sK1_VAR_V_651 ) @ name_objective ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(341,plain,
( ( ~ ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sK1_VAR_V_651 ) @ name_objective ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[340]) ).
thf(342,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(343,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(344,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(345,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(346,plain,
( ( constr_CONST_0x30 != name_A )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(347,plain,
( ( constr_CONST_0x30 != name_B )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(348,plain,
( ( constr_CONST_0x30 != name_I )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(349,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(350,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(351,plain,
( ( constr_CONST_0x30 != name_skA )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(352,plain,
( ( constr_CONST_0x30 != name_skB )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(353,plain,
( ( constr_CONST_0x30 != name_skS )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(354,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(355,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(356,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(357,plain,
( ( constr_CONST_1 != name_A )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(358,plain,
( ( constr_CONST_1 != name_B )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(359,plain,
( ( constr_CONST_1 != name_I )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(360,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(361,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(362,plain,
( ( constr_CONST_1 != name_skA )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(363,plain,
( ( constr_CONST_1 != name_skB )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(364,plain,
( ( constr_CONST_1 != name_skS )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(365,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(366,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(367,plain,
( ( constr_CONST_2 != name_A )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(368,plain,
( ( constr_CONST_2 != name_B )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(369,plain,
( ( constr_CONST_2 != name_I )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(370,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(371,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(372,plain,
( ( constr_CONST_2 != name_skA )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(373,plain,
( ( constr_CONST_2 != name_skB )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(374,plain,
( ( constr_CONST_2 != name_skS )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(375,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(376,plain,
( ( constr_CONST_3 != name_A )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(377,plain,
( ( constr_CONST_3 != name_B )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(378,plain,
( ( constr_CONST_3 != name_I )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(379,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(380,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(381,plain,
( ( constr_CONST_3 != name_skA )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(382,plain,
( ( constr_CONST_3 != name_skB )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(383,plain,
( ( constr_CONST_3 != name_skS )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(384,plain,
( ( constr_CONST_4 != name_A )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(385,plain,
( ( constr_CONST_4 != name_B )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(386,plain,
( ( constr_CONST_4 != name_I )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(387,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(388,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(389,plain,
( ( constr_CONST_4 != name_skA )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(390,plain,
( ( constr_CONST_4 != name_skB )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(391,plain,
( ( constr_CONST_4 != name_skS )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(392,plain,
( ( name_A != name_B )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(393,plain,
( ( name_A != name_I )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(394,plain,
( ( name_A != name_c )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(395,plain,
( ( name_A != name_objective )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(396,plain,
( ( name_A != name_skA )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(397,plain,
( ( name_A != name_skB )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(398,plain,
( ( name_A != name_skS )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(399,plain,
( ( name_B != name_I )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(400,plain,
( ( name_B != name_c )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(401,plain,
( ( name_B != name_objective )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(402,plain,
( ( name_B != name_skA )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(403,plain,
( ( name_B != name_skB )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(404,plain,
( ( name_B != name_skS )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(405,plain,
( ( name_I != name_c )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(406,plain,
( ( name_I != name_objective )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(407,plain,
( ( name_I != name_skA )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(408,plain,
( ( name_I != name_skB )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(409,plain,
( ( name_I != name_skS )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(410,plain,
( ( name_c != name_objective )
= $true ),
inference(copy,[status(thm)],[271]) ).
thf(411,plain,
( ( name_c != name_skA )
= $true ),
inference(copy,[status(thm)],[270]) ).
thf(412,plain,
( ( name_c != name_skB )
= $true ),
inference(copy,[status(thm)],[269]) ).
thf(413,plain,
( ( name_c != name_skS )
= $true ),
inference(copy,[status(thm)],[268]) ).
thf(414,plain,
( ( name_objective != name_skA )
= $true ),
inference(copy,[status(thm)],[267]) ).
thf(415,plain,
( ( name_objective != name_skB )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(416,plain,
( ( name_objective != name_skS )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(417,plain,
( ( name_skA != name_skB )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(418,plain,
( ( name_skA != name_skS )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(419,plain,
( ( name_skB != name_skS )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(420,plain,
( ( ! [VAR_K_18: $i,VAR_M_17: $i] :
( ( constr_adec @ ( constr_aenc @ VAR_M_17 @ ( constr_pkey @ VAR_K_18 ) ) @ VAR_K_18 )
= VAR_M_17 ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(421,plain,
( ( ! [VAR_K_16: $i,VAR_M_15: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_15 @ VAR_K_16 ) @ VAR_K_16 )
= VAR_M_15 ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(422,plain,
( ( ! [VAR_K_14: $i,VAR_M_13: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_13 @ VAR_K_14 ) )
= VAR_M_13 ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(423,plain,
( ( ! [VAR_K_0X30: $i,VAR_M_0X30: $i] :
( ( constr_checksign @ ( constr_sign @ VAR_M_0X30 @ VAR_K_0X30 ) @ ( constr_pkey @ VAR_K_0X30 ) )
= VAR_M_0X30 ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(424,plain,
( ( ! [VAR_X0X30_11: $i,VAR_X1_12: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_11 @ VAR_X1_12 ) )
= VAR_X1_12 ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(425,plain,
( ( ! [VAR_X0X30_9: $i,VAR_X1_10X30: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ VAR_X0X30_9 @ VAR_X1_10X30 ) )
= VAR_X0X30_9 ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(426,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)],[255]) ).
thf(427,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)],[254]) ).
thf(428,plain,
( ( ! [VAR_X_36: $i,VAR_Y_37: $i] : ( pred_eq_bitstring_bitstring @ VAR_X_36 @ VAR_Y_37 ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(429,plain,
( ( ! [VAR_V_43: $i] :
( ( pred_attacker @ VAR_V_43 )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_43 ) ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(430,plain,
( ( ! [VAR_V_45: $i] :
( ( pred_attacker @ VAR_V_45 )
=> ( pred_attacker @ ( constr_tuple_2_get_1 @ VAR_V_45 ) ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(431,plain,
( ( ! [VAR_V_47: $i] :
( ( pred_attacker @ VAR_V_47 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ VAR_V_47 ) ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(432,plain,
( ( ! [VAR_V_49: $i] :
( ( pred_attacker @ VAR_V_49 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_49 ) ) ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(433,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(434,plain,
( ( ! [VAR_V_52: $i,VAR_V_53: $i] :
( ( ( pred_attacker @ VAR_V_52 )
& ( pred_attacker @ VAR_V_53 ) )
=> ( pred_attacker @ ( constr_sign @ VAR_V_52 @ VAR_V_53 ) ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(435,plain,
( ( ! [VAR_V_55: $i] :
( ( pred_attacker @ VAR_V_55 )
=> ( pred_attacker @ ( constr_pkey @ VAR_V_55 ) ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(436,plain,
( ( ! [VAR_V_57: $i] :
( ( pred_attacker @ VAR_V_57 )
=> ( pred_attacker @ ( tuple_out_3 @ VAR_V_57 ) ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(437,plain,
( ( ! [VAR_V_60X30: $i] :
( ( pred_attacker @ ( tuple_out_3 @ VAR_V_60X30 ) )
=> ( pred_attacker @ VAR_V_60X30 ) ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(438,plain,
( ( ! [VAR_V_63: $i] :
( ( pred_attacker @ VAR_V_63 )
=> ( pred_attacker @ ( tuple_out_2 @ VAR_V_63 ) ) ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(439,plain,
( ( ! [VAR_V_66: $i] :
( ( pred_attacker @ ( tuple_out_2 @ VAR_V_66 ) )
=> ( pred_attacker @ VAR_V_66 ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(440,plain,
( ( ! [VAR_V_69: $i] :
( ( pred_attacker @ VAR_V_69 )
=> ( pred_attacker @ ( tuple_out_1 @ VAR_V_69 ) ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(441,plain,
( ( ! [VAR_V_72: $i] :
( ( pred_attacker @ ( tuple_out_1 @ VAR_V_72 ) )
=> ( pred_attacker @ VAR_V_72 ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(442,plain,
( ( ! [VAR_V_76: $i] :
( ( pred_attacker @ VAR_V_76 )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_76 ) ) ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(443,plain,
( ( ! [VAR_V_79: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_79 ) )
=> ( pred_attacker @ VAR_V_79 ) ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(444,plain,
( ( ! [VAR_V_83: $i,VAR_V_84: $i] :
( ( ( pred_attacker @ VAR_V_83 )
& ( pred_attacker @ VAR_V_84 ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_83 @ VAR_V_84 ) ) ) )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(445,plain,
( ( ! [VAR_V_91: $i,VAR_V_92: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_91 @ VAR_V_92 ) )
=> ( pred_attacker @ VAR_V_91 ) ) )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(446,plain,
( ( ! [VAR_V_94: $i,VAR_V_95: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_94 @ VAR_V_95 ) )
=> ( pred_attacker @ VAR_V_95 ) ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(447,plain,
( ( ! [VAR_V_99: $i,VAR_V_10X300X30: $i] :
( ( ( pred_attacker @ VAR_V_99 )
& ( pred_attacker @ VAR_V_10X300X30 ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_99 @ VAR_V_10X300X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(448,plain,
( ( ! [VAR_V_10X307: $i,VAR_V_10X308: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X307 @ VAR_V_10X308 ) )
=> ( pred_attacker @ VAR_V_10X307 ) ) )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(449,plain,
( ( ! [VAR_V_110X30: $i,VAR_V_111: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_110X30 @ VAR_V_111 ) )
=> ( pred_attacker @ VAR_V_111 ) ) )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(450,plain,
( ( ! [VAR_V_114: $i] :
( ( pred_attacker @ VAR_V_114 )
=> ( pred_attacker @ ( constr_getmess @ VAR_V_114 ) ) ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(451,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(452,plain,
( ( ! [VAR_V_117: $i,VAR_V_118: $i] :
( ( ( pred_attacker @ VAR_V_117 )
& ( pred_attacker @ VAR_V_118 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_117 @ VAR_V_118 ) ) ) )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(453,plain,
( ( ! [VAR_V_121: $i,VAR_V_122: $i] :
( ( ( pred_attacker @ VAR_V_121 )
& ( pred_attacker @ VAR_V_122 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_121 @ VAR_V_122 ) ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(454,plain,
( ( ! [VAR_V_124: $i] :
( ( pred_attacker @ VAR_V_124 )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_124 ) ) ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(455,plain,
( ( ! [VAR_V_127: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_127 ) )
=> ( pred_attacker @ VAR_V_127 ) ) )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(456,plain,
( ( ! [VAR_V_130X30: $i] :
( ( pred_attacker @ VAR_V_130X30 )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_130X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(457,plain,
( ( ! [VAR_V_133: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_133 ) )
=> ( pred_attacker @ VAR_V_133 ) ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(458,plain,
( ( ! [VAR_V_137: $i,VAR_V_138: $i] :
( ( ( pred_attacker @ VAR_V_137 )
& ( pred_attacker @ VAR_V_138 ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_137 @ VAR_V_138 ) ) ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(459,plain,
( ( ! [VAR_V_145: $i,VAR_V_146: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_145 @ VAR_V_146 ) )
=> ( pred_attacker @ VAR_V_145 ) ) )
= $true ),
inference(copy,[status(thm)],[222]) ).
thf(460,plain,
( ( ! [VAR_V_148: $i,VAR_V_149: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_148 @ VAR_V_149 ) )
=> ( pred_attacker @ VAR_V_149 ) ) )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(461,plain,
( ( ! [VAR_V_152: $i] :
( ( pred_attacker @ VAR_V_152 )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_152 ) ) ) )
= $true ),
inference(copy,[status(thm)],[220]) ).
thf(462,plain,
( ( ! [VAR_V_155: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_155 ) )
=> ( pred_attacker @ VAR_V_155 ) ) )
= $true ),
inference(copy,[status(thm)],[219]) ).
thf(463,plain,
( ( ! [VAR_V_158: $i] :
( ( pred_attacker @ VAR_V_158 )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_158 ) ) ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(464,plain,
( ( ! [VAR_V_161: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_161 ) )
=> ( pred_attacker @ VAR_V_161 ) ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(465,plain,
( ( ! [VAR_V_164: $i] :
( ( pred_attacker @ VAR_V_164 )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_164 ) ) ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(466,plain,
( ( ! [VAR_V_167: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_167 ) )
=> ( pred_attacker @ VAR_V_167 ) ) )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(467,plain,
( ( ! [VAR_V_170X30: $i] :
( ( pred_attacker @ VAR_V_170X30 )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_170X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[214]) ).
thf(468,plain,
( ( ! [VAR_V_173: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_173 ) )
=> ( pred_attacker @ VAR_V_173 ) ) )
= $true ),
inference(copy,[status(thm)],[213]) ).
thf(469,plain,
( ( ! [VAR_V_176: $i] :
( ( pred_attacker @ VAR_V_176 )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_176 ) ) ) )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(470,plain,
( ( ! [VAR_V_179: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_179 ) )
=> ( pred_attacker @ VAR_V_179 ) ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(471,plain,
( ( ! [VAR_V_183: $i,VAR_V_184: $i] :
( ( ( pred_attacker @ VAR_V_183 )
& ( pred_attacker @ VAR_V_184 ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_183 @ VAR_V_184 ) ) ) )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(472,plain,
( ( ! [VAR_V_191: $i,VAR_V_192: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_191 @ VAR_V_192 ) )
=> ( pred_attacker @ VAR_V_191 ) ) )
= $true ),
inference(copy,[status(thm)],[209]) ).
thf(473,plain,
( ( ! [VAR_V_194: $i,VAR_V_195: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_194 @ VAR_V_195 ) )
=> ( pred_attacker @ VAR_V_195 ) ) )
= $true ),
inference(copy,[status(thm)],[208]) ).
thf(474,plain,
( ( ! [VAR_V_198: $i] :
( ( pred_attacker @ VAR_V_198 )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_198 ) ) ) )
= $true ),
inference(copy,[status(thm)],[207]) ).
thf(475,plain,
( ( ! [VAR_V_20X301: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X301 ) )
=> ( pred_attacker @ VAR_V_20X301 ) ) )
= $true ),
inference(copy,[status(thm)],[206]) ).
thf(476,plain,
( ( ! [VAR_V_20X304: $i] :
( ( pred_attacker @ VAR_V_20X304 )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X304 ) ) ) )
= $true ),
inference(copy,[status(thm)],[205]) ).
thf(477,plain,
( ( ! [VAR_V_20X307: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X307 ) )
=> ( pred_attacker @ VAR_V_20X307 ) ) )
= $true ),
inference(copy,[status(thm)],[204]) ).
thf(478,plain,
( ( ! [VAR_V_211: $i,VAR_V_212: $i] :
( ( ( pred_attacker @ VAR_V_211 )
& ( pred_attacker @ VAR_V_212 ) )
=> ( pred_attacker @ ( constr_checksign @ VAR_V_211 @ VAR_V_212 ) ) ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(479,plain,
( ( ! [VAR_V_215: $i,VAR_V_216: $i] :
( ( ( pred_attacker @ VAR_V_215 )
& ( pred_attacker @ VAR_V_216 ) )
=> ( pred_attacker @ ( constr_aenc @ VAR_V_215 @ VAR_V_216 ) ) ) )
= $true ),
inference(copy,[status(thm)],[202]) ).
thf(480,plain,
( ( ! [VAR_V_219: $i,VAR_V_220X30: $i] :
( ( ( pred_attacker @ VAR_V_219 )
& ( pred_attacker @ VAR_V_220X30 ) )
=> ( pred_attacker @ ( constr_adec @ VAR_V_219 @ VAR_V_220X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(481,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(482,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(483,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(484,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(485,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(486,plain,
( ( ! [VAR_V_227: $i,VAR_V_228: $i] :
( ( ( pred_attacker @ VAR_V_227 )
& ( pred_attacker @ VAR_V_228 ) )
=> ( pred_attacker @ ( tuple_2 @ VAR_V_227 @ VAR_V_228 ) ) ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(487,plain,
( ( ! [VAR_V_235: $i,VAR_V_236: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_235 @ VAR_V_236 ) )
=> ( pred_attacker @ VAR_V_235 ) ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(488,plain,
( ( ! [VAR_V_238: $i,VAR_V_239: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_238 @ VAR_V_239 ) )
=> ( pred_attacker @ VAR_V_239 ) ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(489,plain,
( ( ! [VAR_V_241: $i,VAR_V_242: $i] :
( ( ( pred_mess @ VAR_V_242 @ VAR_V_241 )
& ( pred_attacker @ VAR_V_242 ) )
=> ( pred_attacker @ VAR_V_241 ) ) )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(490,plain,
( ( ! [VAR_V_243: $i,VAR_V_244: $i] :
( ( ( pred_attacker @ VAR_V_244 )
& ( pred_attacker @ VAR_V_243 ) )
=> ( pred_mess @ VAR_V_244 @ VAR_V_243 ) ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(491,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(492,plain,
( ( pred_attacker @ name_I )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(493,plain,
( ( pred_attacker @ name_B )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(494,plain,
( ( pred_attacker @ name_A )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(495,plain,
( ( ! [VAR_V_246: $i] : ( pred_equal @ VAR_V_246 @ VAR_V_246 ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(496,plain,
( ( ! [VAR_V_247: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_247 ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(497,plain,
( ( pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(498,plain,
( ( pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(499,plain,
( ( pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(500,plain,
( ( pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(501,plain,
( ( pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(502,plain,
( ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(503,plain,
( ( ! [VAR_0X40SID_367: $i,VAR_SIGN_I_PKI_366: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_366 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_366 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ VAR_0X40SID_367 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_366 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(504,plain,
( ( ! [VAR_0X40SID_415: $i,VAR_AENC_NA_NI_416: $i,VAR_SIGN_I_PKI_417: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_415 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ VAR_AENC_NA_NI_416 @ name_skA ) ) )
& ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_AENC_NA_NI_416 ) )
& ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_I_PKI_417 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_SIGN_I_PKI_417 ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ VAR_AENC_NA_NI_416 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_I_PKI_417 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(505,plain,
( ( pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(506,plain,
( ( ! [VAR_0X40SID_524: $i,VAR_AENC_NA_A_522: $i,VAR_SIGN_A_PKA_523: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_522 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_522 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_523 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_523 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ VAR_AENC_NA_A_522 @ name_skB ) ) @ ( name_Nb @ VAR_0X40SID_524 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_523 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(507,plain,
( ( ! [VAR_0X40SID_546: $i,VAR_AENC_NA_A_548: $i,VAR_AENC_NB_547: $i,VAR_SIGN_A_PKA_549: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_546 ) @ ( constr_adec @ VAR_AENC_NB_547 @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_AENC_NB_547 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_548 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_548 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_549 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_549 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(508,plain,
( ( ! [VAR_DST_588: $i,VAR_PKDST_589: $i,VAR_SRC_590X30: $i] :
( ( ( pred_table @ ( tuple_keys @ VAR_DST_588 @ VAR_PKDST_589 ) )
& ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_SRC_590X30 @ VAR_DST_588 ) ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ VAR_DST_588 @ VAR_PKDST_589 ) @ name_skS ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(509,plain,
( ( ! [VAR_HOST_642: $i,VAR_PK_643: $i] :
( ( ( VAR_HOST_642 != name_B )
& ( VAR_HOST_642 != name_A )
& ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_HOST_642 @ VAR_PK_643 ) ) )
=> ( pred_table @ ( tuple_keys @ VAR_HOST_642 @ VAR_PK_643 ) ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(510,plain,
( ( ~ ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sK1_VAR_V_651 ) @ name_objective ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(511,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_A_out_3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(512,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( tuple_2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(513,plain,
( ( name_I != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(514,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(515,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(516,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(517,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(518,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( tuple_client_A_out_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(519,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(520,plain,
( ( name_I != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(521,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_A_out_5 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(522,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_out_2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(523,plain,
( ( name_c != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(524,plain,
( ( constr_CONST_3 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(525,plain,
( ( name_B != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(526,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(527,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(528,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(529,plain,
( ( constr_CONST_0x30 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(530,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( constr_getmess @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(531,plain,
( ( constr_CONST_1 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(532,plain,
( ( name_A != name_I )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(533,plain,
( ( constr_CONST_0x30 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(534,plain,
( ( name_c != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(535,plain,
( ( name_A != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(536,plain,
( ( constr_CONST_0x30 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(537,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(538,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_out_3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(539,plain,
( ( constr_CONST_2 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(540,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( constr_aenc @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[479]) ).
thf(541,plain,
( ( constr_CONST_3 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(542,plain,
( ( constr_CONST_1 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(543,plain,
( ( name_A != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(544,plain,
( ( name_I != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(545,plain,
( ( constr_CONST_0x30 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(546,plain,
( ( constr_CONST_0x30 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(547,plain,
( ( constr_CONST_2 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(548,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_B_out_4 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(549,plain,
( ( constr_CONST_1 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(550,plain,
( ( name_A != name_c )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(551,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_out_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(552,plain,
( ( constr_CONST_3 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[379]) ).
thf(553,plain,
( ( name_c != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(554,plain,
( ( name_skA != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(555,plain,
( ( name_I != name_c )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(556,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SX1 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SX1 ) ) )
| ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SX0 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SX1 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(557,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_B_out_6 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(558,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_B_in_3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(559,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( constr_pkey @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(560,plain,
( ( name_c != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(561,plain,
( ( name_B != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(562,plain,
( ( constr_CONST_3 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(563,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SX1 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SX1 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SX2 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SX2 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SX1 @ name_skB ) ) @ ( name_Nb @ SX0 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SX2 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[506]) ).
thf(564,plain,
( ( name_skB != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(565,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(566,plain,
( ( constr_CONST_0x30 != constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(567,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_A_in_4 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(568,plain,
( ( constr_CONST_2 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(569,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SX0 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SX1 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SX1 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SX2 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SX2 ) ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SX1 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SX2 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[504]) ).
thf(570,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(571,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(572,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_mess @ SX1 @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[489]) ).
thf(573,plain,
( ( name_objective != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(574,plain,
( ( name_B != name_c )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(575,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( constr_checksign @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(576,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(577,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( pred_table @ ( tuple_keys @ SX0 @ SX1 ) )
| ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SX2 @ SX0 ) ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SX0 @ SX1 ) @ name_skS ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(578,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(579,plain,
( ( constr_CONST_3 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(580,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( constr_dec @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(581,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( constr_enc @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(582,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(583,plain,
( ( constr_CONST_1 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(584,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(585,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_B_in_5 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(586,plain,
( ( constr_CONST_2 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(587,plain,
( ( constr_CONST_2 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(588,plain,
( ( constr_CONST_3 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(589,plain,
( ( constr_CONST_2 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(590,plain,
( ( constr_CONST_1 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[362]) ).
thf(591,plain,
( ( constr_CONST_2 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(592,plain,
( ( constr_CONST_4 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(593,plain,
( ( constr_CONST_0x30 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(594,plain,
( ( constr_CONST_0x30 != constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(595,plain,
( ( constr_CONST_0x30 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(596,plain,
( ( constr_CONST_4 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(597,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(598,plain,
( ( constr_CONST_4 != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(599,plain,
( ( constr_CONST_3 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(600,plain,
( ( constr_CONST_0x30 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(601,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SX0 ) @ ( constr_adec @ SX2 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SX2 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SX1 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SX1 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SX3 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SX3 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(602,plain,
( ( name_objective != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(603,plain,
( ( name_I != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(604,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != name_B ) )
| ~ ( ( SX0 != name_A ) ) )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SX0 @ SX1 ) ) )
| ( pred_table @ ( tuple_keys @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(605,plain,
( ( name_B != name_I )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(606,plain,
( ( constr_CONST_1 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(607,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_A_in_2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(608,plain,
( ( constr_CONST_2 != constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(609,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(610,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(611,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(612,plain,
( ( constr_CONST_2 != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[371]) ).
thf(613,plain,
( ( name_A != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(614,plain,
( ( constr_CONST_4 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(615,plain,
( ( name_skA != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(616,plain,
( ( constr_CONST_2 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(617,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_out_1 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(618,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( tuple_client_B_out_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(619,plain,
( ( constr_CONST_1 != constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(620,plain,
( ( constr_CONST_1 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(621,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( constr_adec @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(622,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(623,plain,
( ( constr_CONST_1 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(624,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX1 )
| ~ ( pred_attacker @ SX0 ) )
| ( pred_mess @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(625,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(626,plain,
( ( name_A != name_objective )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(627,plain,
( ( constr_CONST_4 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(628,plain,
( ( name_objective != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(629,plain,
( ( name_B != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(630,plain,
( ( constr_CONST_3 != name_skA )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(631,plain,
( ( constr_CONST_0x30 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(632,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( pred_attacker @ SX0 )
| ~ ( pred_attacker @ SX1 ) )
| ( pred_attacker @ ( constr_sign @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(633,plain,
( ( constr_CONST_0x30 != name_c )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(634,plain,
( ( constr_CONST_4 != name_skS )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(635,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( constr_tuple_2_get_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(636,plain,
( ( name_A != name_B )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(637,plain,
( ( constr_CONST_1 != name_A )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(638,plain,
( ( constr_CONST_3 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(639,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(640,plain,
( ( name_B != name_skB )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(641,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_out_3 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(642,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(643,plain,
( ( constr_CONST_4 != name_B )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(644,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ SX0 )
| ( pred_attacker @ ( tuple_client_B_in_2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(645,plain,
( ( ! [SX0: $i] :
( ~ ( pred_attacker @ ( tuple_out_2 @ SX0 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(646,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(647,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SX0 @ SX1 ) )
| ( pred_attacker @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(648,plain,
( ( constr_CONST_1 != constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(649,plain,
( ( constr_CONST_4 != name_I )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(650,plain,
! [SV1: $i] :
( ( ! [SY116: $i] :
( ( constr_adec @ ( constr_aenc @ SY116 @ ( constr_pkey @ SV1 ) ) @ SV1 )
= SY116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(651,plain,
! [SV2: $i] :
( ( ! [SY117: $i] :
( ( constr_dec @ ( constr_enc @ SY117 @ SV2 ) @ SV2 )
= SY117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(652,plain,
! [SV3: $i] :
( ( ! [SY118: $i] :
( ( constr_getmess @ ( constr_sign @ SY118 @ SV3 ) )
= SY118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(653,plain,
! [SV4: $i] :
( ( ! [SY119: $i] :
( ( constr_checksign @ ( constr_sign @ SY119 @ SV4 ) @ ( constr_pkey @ SV4 ) )
= SY119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(654,plain,
! [SV5: $i] :
( ( ! [SY120: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ SV5 @ SY120 ) )
= SY120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(655,plain,
! [SV6: $i] :
( ( ! [SY121: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ SV6 @ SY121 ) )
= SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(656,plain,
! [SV7: $i] :
( ( ! [SY122: $i] :
( ( constr_tuple_2_get_1 @ ( tuple_2 @ SV7 @ SY122 ) )
= SY122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(657,plain,
! [SV8: $i] :
( ( ! [SY123: $i] :
( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ SV8 @ SY123 ) )
= SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(658,plain,
! [SV9: $i] :
( ( ! [SY124: $i] : ( pred_eq_bitstring_bitstring @ SV9 @ SY124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(659,plain,
! [SV10: $i] :
( ( pred_equal @ SV10 @ SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(660,plain,
! [SV11: $i] :
( ( pred_attacker @ ( name_new0x2Dname @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(661,plain,
( ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sK1_VAR_V_651 ) @ name_objective ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(662,plain,
! [SV12: $i] :
( ( ~ ( pred_attacker @ SV12 )
| ( pred_attacker @ ( tuple_client_A_out_3 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(663,plain,
! [SV13: $i] :
( ( ! [SY125: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV13 )
| ~ ( pred_attacker @ SY125 ) )
| ( pred_attacker @ ( tuple_2 @ SV13 @ SY125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(664,plain,
( ( name_I = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(665,plain,
! [SV14: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ SV14 ) )
| ( pred_attacker @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(666,plain,
! [SV15: $i] :
( ( ~ ( pred_attacker @ SV15 )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(667,plain,
! [SV16: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV16 ) )
| ( pred_attacker @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(668,plain,
! [SV17: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ SV17 ) )
| ( pred_attacker @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(669,plain,
! [SV18: $i] :
( ( ! [SY126: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV18 )
| ~ ( pred_attacker @ SY126 ) )
| ( pred_attacker @ ( tuple_client_A_out_1 @ SV18 @ SY126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(670,plain,
! [SV19: $i] :
( ( ! [SY127: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV19 @ SY127 ) )
| ( pred_attacker @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(671,plain,
( ( name_I = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(672,plain,
! [SV20: $i] :
( ( ~ ( pred_attacker @ SV20 )
| ( pred_attacker @ ( tuple_client_A_out_5 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(673,plain,
! [SV21: $i] :
( ( ~ ( pred_attacker @ SV21 )
| ( pred_attacker @ ( tuple_out_2 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(674,plain,
( ( name_c = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(675,plain,
( ( constr_CONST_3 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(676,plain,
( ( name_B = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(677,plain,
! [SV22: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV22 ) )
| ( pred_attacker @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(678,plain,
! [SV23: $i] :
( ( ! [SY128: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV23 @ SY128 ) )
| ( pred_attacker @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(679,plain,
! [SV24: $i] :
( ( ! [SY129: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV24 @ SY129 ) )
| ( pred_attacker @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(680,plain,
( ( constr_CONST_0x30 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(681,plain,
! [SV25: $i] :
( ( ~ ( pred_attacker @ SV25 )
| ( pred_attacker @ ( constr_getmess @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(682,plain,
( ( constr_CONST_1 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(683,plain,
( ( name_A = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(684,plain,
( ( constr_CONST_0x30 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(685,plain,
( ( name_c = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(686,plain,
( ( name_A = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(687,plain,
( ( constr_CONST_0x30 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(688,plain,
! [SV26: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV26 ) )
| ( pred_attacker @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(689,plain,
! [SV27: $i] :
( ( ~ ( pred_attacker @ SV27 )
| ( pred_attacker @ ( tuple_out_3 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(690,plain,
( ( constr_CONST_2 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(691,plain,
! [SV28: $i] :
( ( ! [SY130: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV28 )
| ~ ( pred_attacker @ SY130 ) )
| ( pred_attacker @ ( constr_aenc @ SV28 @ SY130 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(692,plain,
( ( constr_CONST_3 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(693,plain,
( ( constr_CONST_1 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(694,plain,
( ( name_A = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(695,plain,
( ( name_I = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(696,plain,
( ( constr_CONST_0x30 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(697,plain,
( ( constr_CONST_0x30 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(698,plain,
( ( constr_CONST_2 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(699,plain,
! [SV29: $i] :
( ( ~ ( pred_attacker @ SV29 )
| ( pred_attacker @ ( tuple_client_B_out_4 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(700,plain,
( ( constr_CONST_1 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(701,plain,
( ( name_A = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(702,plain,
! [SV30: $i] :
( ( ~ ( pred_attacker @ SV30 )
| ( pred_attacker @ ( tuple_out_1 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(703,plain,
( ( constr_CONST_3 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(704,plain,
( ( name_c = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(705,plain,
( ( name_skA = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(706,plain,
( ( name_I = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(707,plain,
! [SV31: $i] :
( ( ! [SY131: $i] :
( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY131 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SY131 ) ) )
| ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SV31 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY131 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(708,plain,
! [SV32: $i] :
( ( ~ ( pred_attacker @ SV32 )
| ( pred_attacker @ ( tuple_client_B_out_6 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(709,plain,
! [SV33: $i] :
( ( ~ ( pred_attacker @ SV33 )
| ( pred_attacker @ ( tuple_client_B_in_3 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(710,plain,
! [SV34: $i] :
( ( ~ ( pred_attacker @ SV34 )
| ( pred_attacker @ ( constr_pkey @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(711,plain,
( ( name_c = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(712,plain,
( ( name_B = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(713,plain,
( ( constr_CONST_3 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(714,plain,
! [SV35: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SY132 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SY132 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY133 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY133 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SY132 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY133 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(715,plain,
( ( name_skB = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(716,plain,
! [SV36: $i] :
( ( ! [SY134: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV36 @ SY134 ) )
| ( pred_attacker @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(717,plain,
( ( constr_CONST_0x30 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(718,plain,
! [SV37: $i] :
( ( ~ ( pred_attacker @ SV37 )
| ( pred_attacker @ ( tuple_client_A_in_4 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(719,plain,
( ( constr_CONST_2 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(720,plain,
! [SV38: $i] :
( ( ! [SY135: $i,SY136: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SY135 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SY135 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY136 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SY136 ) ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SY135 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY136 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(721,plain,
! [SV39: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV39 ) )
| ( pred_attacker @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(722,plain,
! [SV40: $i] :
( ( ~ ( pred_attacker @ SV40 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(723,plain,
! [SV41: $i] :
( ( ! [SY137: $i] :
( ~ ~ ( ~ ( pred_mess @ SY137 @ SV41 )
| ~ ( pred_attacker @ SY137 ) )
| ( pred_attacker @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(724,plain,
( ( name_objective = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(725,plain,
( ( name_B = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(726,plain,
! [SV42: $i] :
( ( ! [SY138: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV42 )
| ~ ( pred_attacker @ SY138 ) )
| ( pred_attacker @ ( constr_checksign @ SV42 @ SY138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(727,plain,
! [SV43: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV43 ) )
| ( pred_attacker @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(728,plain,
! [SV44: $i] :
( ( ! [SY139: $i,SY140: $i] :
( ~ ~ ( ~ ( pred_table @ ( tuple_keys @ SV44 @ SY139 ) )
| ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SY140 @ SV44 ) ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SY139 ) @ name_skS ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(729,plain,
! [SV45: $i] :
( ( ! [SY141: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SY141 ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV45 @ SY141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(730,plain,
( ( constr_CONST_3 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(731,plain,
! [SV46: $i] :
( ( ! [SY142: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SY142 ) )
| ( pred_attacker @ ( constr_dec @ SV46 @ SY142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(732,plain,
! [SV47: $i] :
( ( ! [SY143: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV47 )
| ~ ( pred_attacker @ SY143 ) )
| ( pred_attacker @ ( constr_enc @ SV47 @ SY143 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(733,plain,
! [SV48: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV48 ) )
| ( pred_attacker @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(734,plain,
( ( constr_CONST_1 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(735,plain,
! [SV49: $i] :
( ( ! [SY144: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV49 )
| ~ ( pred_attacker @ SY144 ) )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV49 @ SY144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(736,plain,
! [SV50: $i] :
( ( ~ ( pred_attacker @ SV50 )
| ( pred_attacker @ ( tuple_client_B_in_5 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(737,plain,
( ( constr_CONST_2 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(738,plain,
( ( constr_CONST_2 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(739,plain,
( ( constr_CONST_3 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(740,plain,
( ( constr_CONST_2 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(741,plain,
( ( constr_CONST_1 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(742,plain,
( ( constr_CONST_2 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(743,plain,
( ( constr_CONST_4 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(744,plain,
( ( constr_CONST_0x30 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(745,plain,
( ( constr_CONST_0x30 = constr_CONST_1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(746,plain,
( ( constr_CONST_0x30 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(747,plain,
( ( constr_CONST_4 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(748,plain,
! [SV51: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ SV51 ) )
| ( pred_attacker @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(749,plain,
( ( constr_CONST_4 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(750,plain,
( ( constr_CONST_3 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(751,plain,
( ( constr_CONST_0x30 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(752,plain,
! [SV52: $i] :
( ( ! [SY145: $i,SY146: $i,SY147: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SY146 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SY146 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SY145 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SY145 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY147 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY147 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(753,plain,
( ( name_objective = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(754,plain,
( ( name_I = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(755,plain,
! [SV53: $i] :
( ( ! [SY148: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV53 != name_B ) )
| ~ ( ( SV53 != name_A ) ) )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SY148 ) ) )
| ( pred_table @ ( tuple_keys @ SV53 @ SY148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(756,plain,
( ( name_B = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(757,plain,
( ( constr_CONST_1 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(758,plain,
! [SV54: $i] :
( ( ~ ( pred_attacker @ SV54 )
| ( pred_attacker @ ( tuple_client_A_in_2 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(759,plain,
( ( constr_CONST_2 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(760,plain,
! [SV55: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ SV55 ) )
| ( pred_attacker @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(761,plain,
! [SV56: $i] :
( ( ! [SY149: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ SV56 @ SY149 ) )
| ( pred_attacker @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(762,plain,
! [SV57: $i] :
( ( ! [SY150: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV57 @ SY150 ) )
| ( pred_attacker @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(763,plain,
( ( constr_CONST_2 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(764,plain,
( ( name_A = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(765,plain,
( ( constr_CONST_4 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(766,plain,
( ( name_skA = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(767,plain,
( ( constr_CONST_2 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(768,plain,
! [SV58: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_1 @ SV58 ) )
| ( pred_attacker @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(769,plain,
! [SV59: $i] :
( ( ! [SY151: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV59 )
| ~ ( pred_attacker @ SY151 ) )
| ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SY151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(770,plain,
( ( constr_CONST_1 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(771,plain,
( ( constr_CONST_1 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(772,plain,
! [SV60: $i] :
( ( ! [SY152: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV60 )
| ~ ( pred_attacker @ SY152 ) )
| ( pred_attacker @ ( constr_adec @ SV60 @ SY152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(773,plain,
! [SV61: $i] :
( ( ~ ( pred_attacker @ SV61 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(774,plain,
( ( constr_CONST_1 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(775,plain,
! [SV62: $i] :
( ( ! [SY153: $i] :
( ~ ~ ( ~ ( pred_attacker @ SY153 )
| ~ ( pred_attacker @ SV62 ) )
| ( pred_mess @ SY153 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(776,plain,
! [SV63: $i] :
( ( ! [SY154: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV63 @ SY154 ) )
| ( pred_attacker @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(777,plain,
( ( name_A = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(778,plain,
( ( constr_CONST_4 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(779,plain,
( ( name_objective = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(780,plain,
( ( name_B = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(781,plain,
( ( constr_CONST_3 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(782,plain,
( ( constr_CONST_0x30 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(783,plain,
! [SV64: $i] :
( ( ! [SY155: $i] :
( ~ ~ ( ~ ( pred_attacker @ SV64 )
| ~ ( pred_attacker @ SY155 ) )
| ( pred_attacker @ ( constr_sign @ SV64 @ SY155 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(784,plain,
( ( constr_CONST_0x30 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(785,plain,
( ( constr_CONST_4 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(786,plain,
! [SV65: $i] :
( ( ~ ( pred_attacker @ SV65 )
| ( pred_attacker @ ( constr_tuple_2_get_1 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(787,plain,
( ( name_A = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(788,plain,
( ( constr_CONST_1 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(789,plain,
( ( constr_CONST_3 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(790,plain,
! [SV66: $i] :
( ( ! [SY156: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV66 @ SY156 ) )
| ( pred_attacker @ SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(791,plain,
( ( name_B = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(792,plain,
! [SV67: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_3 @ SV67 ) )
| ( pred_attacker @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(793,plain,
! [SV68: $i] :
( ( ~ ( pred_attacker @ SV68 )
| ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(794,plain,
( ( constr_CONST_4 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(795,plain,
! [SV69: $i] :
( ( ~ ( pred_attacker @ SV69 )
| ( pred_attacker @ ( tuple_client_B_in_2 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(796,plain,
! [SV70: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_2 @ SV70 ) )
| ( pred_attacker @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(797,plain,
! [SV71: $i] :
( ( ! [SY157: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ SV71 @ SY157 ) )
| ( pred_attacker @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(798,plain,
! [SV72: $i] :
( ( ! [SY158: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV72 @ SY158 ) )
| ( pred_attacker @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(799,plain,
( ( constr_CONST_1 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(800,plain,
( ( constr_CONST_4 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(801,plain,
! [SV1: $i,SV73: $i] :
( ( ( constr_adec @ ( constr_aenc @ SV73 @ ( constr_pkey @ SV1 ) ) @ SV1 )
= SV73 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(802,plain,
! [SV2: $i,SV74: $i] :
( ( ( constr_dec @ ( constr_enc @ SV74 @ SV2 ) @ SV2 )
= SV74 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(803,plain,
! [SV3: $i,SV75: $i] :
( ( ( constr_getmess @ ( constr_sign @ SV75 @ SV3 ) )
= SV75 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(804,plain,
! [SV4: $i,SV76: $i] :
( ( ( constr_checksign @ ( constr_sign @ SV76 @ SV4 ) @ ( constr_pkey @ SV4 ) )
= SV76 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(805,plain,
! [SV77: $i,SV5: $i] :
( ( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ SV5 @ SV77 ) )
= SV77 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(806,plain,
! [SV78: $i,SV6: $i] :
( ( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ SV6 @ SV78 ) )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(807,plain,
! [SV79: $i,SV7: $i] :
( ( ( constr_tuple_2_get_1 @ ( tuple_2 @ SV7 @ SV79 ) )
= SV79 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(808,plain,
! [SV80: $i,SV8: $i] :
( ( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ SV8 @ SV80 ) )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(809,plain,
! [SV81: $i,SV9: $i] :
( ( pred_eq_bitstring_bitstring @ SV9 @ SV81 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(810,plain,
! [SV12: $i] :
( ( ( ~ ( pred_attacker @ SV12 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(811,plain,
! [SV82: $i,SV13: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV13 )
| ~ ( pred_attacker @ SV82 ) )
| ( pred_attacker @ ( tuple_2 @ SV13 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(812,plain,
! [SV14: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ SV14 ) ) )
= $true )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(813,plain,
! [SV15: $i] :
( ( ( ~ ( pred_attacker @ SV15 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(814,plain,
! [SV16: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV16 ) ) )
= $true )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(815,plain,
! [SV17: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ SV17 ) ) )
= $true )
| ( ( pred_attacker @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(816,plain,
! [SV83: $i,SV18: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV18 )
| ~ ( pred_attacker @ SV83 ) )
| ( pred_attacker @ ( tuple_client_A_out_1 @ SV18 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(817,plain,
! [SV84: $i,SV19: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV19 @ SV84 ) )
| ( pred_attacker @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(818,plain,
! [SV20: $i] :
( ( ( ~ ( pred_attacker @ SV20 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(819,plain,
! [SV21: $i] :
( ( ( ~ ( pred_attacker @ SV21 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_2 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(820,plain,
! [SV22: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV22 ) ) )
= $true )
| ( ( pred_attacker @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(821,plain,
! [SV85: $i,SV23: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV23 @ SV85 ) )
| ( pred_attacker @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(822,plain,
! [SV86: $i,SV24: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV24 @ SV86 ) )
| ( pred_attacker @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(823,plain,
! [SV25: $i] :
( ( ( ~ ( pred_attacker @ SV25 ) )
= $true )
| ( ( pred_attacker @ ( constr_getmess @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(824,plain,
! [SV26: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV26 ) ) )
= $true )
| ( ( pred_attacker @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(825,plain,
! [SV27: $i] :
( ( ( ~ ( pred_attacker @ SV27 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_3 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(826,plain,
! [SV87: $i,SV28: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV28 )
| ~ ( pred_attacker @ SV87 ) )
| ( pred_attacker @ ( constr_aenc @ SV28 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(827,plain,
! [SV29: $i] :
( ( ( ~ ( pred_attacker @ SV29 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(828,plain,
! [SV30: $i] :
( ( ( ~ ( pred_attacker @ SV30 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_1 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(829,plain,
! [SV31: $i,SV88: $i] :
( ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV88 ) ) )
| ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SV31 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(830,plain,
! [SV32: $i] :
( ( ( ~ ( pred_attacker @ SV32 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(831,plain,
! [SV33: $i] :
( ( ( ~ ( pred_attacker @ SV33 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(832,plain,
! [SV34: $i] :
( ( ( ~ ( pred_attacker @ SV34 ) )
= $true )
| ( ( pred_attacker @ ( constr_pkey @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(833,plain,
! [SV35: $i,SV89: $i] :
( ( ! [SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY159 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY159 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY159 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(834,plain,
! [SV90: $i,SV36: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV36 @ SV90 ) )
| ( pred_attacker @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(835,plain,
! [SV37: $i] :
( ( ( ~ ( pred_attacker @ SV37 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(836,plain,
! [SV91: $i,SV38: $i] :
( ( ! [SY160: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY160 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SY160 ) ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY160 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(837,plain,
! [SV39: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV39 ) ) )
= $true )
| ( ( pred_attacker @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(838,plain,
! [SV40: $i] :
( ( ( ~ ( pred_attacker @ SV40 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(839,plain,
! [SV41: $i,SV92: $i] :
( ( ~ ~ ( ~ ( pred_mess @ SV92 @ SV41 )
| ~ ( pred_attacker @ SV92 ) )
| ( pred_attacker @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(840,plain,
! [SV93: $i,SV42: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV42 )
| ~ ( pred_attacker @ SV93 ) )
| ( pred_attacker @ ( constr_checksign @ SV42 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(841,plain,
! [SV43: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV43 ) ) )
= $true )
| ( ( pred_attacker @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(842,plain,
! [SV94: $i,SV44: $i] :
( ( ! [SY161: $i] :
( ~ ~ ( ~ ( pred_table @ ( tuple_keys @ SV44 @ SV94 ) )
| ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SY161 @ SV44 ) ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SV94 ) @ name_skS ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(843,plain,
! [SV95: $i,SV45: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV95 ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV45 @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(844,plain,
! [SV96: $i,SV46: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SV96 ) )
| ( pred_attacker @ ( constr_dec @ SV46 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(845,plain,
! [SV97: $i,SV47: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV47 )
| ~ ( pred_attacker @ SV97 ) )
| ( pred_attacker @ ( constr_enc @ SV47 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(846,plain,
! [SV48: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV48 ) ) )
= $true )
| ( ( pred_attacker @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(847,plain,
! [SV98: $i,SV49: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV49 )
| ~ ( pred_attacker @ SV98 ) )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV49 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(848,plain,
! [SV50: $i] :
( ( ( ~ ( pred_attacker @ SV50 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(849,plain,
! [SV51: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ SV51 ) ) )
= $true )
| ( ( pred_attacker @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(850,plain,
! [SV99: $i,SV52: $i] :
( ( ! [SY162: $i,SY163: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SY162 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SY162 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY163 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY163 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(851,plain,
! [SV100: $i,SV53: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV53 != name_B ) )
| ~ ( ( SV53 != name_A ) ) )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
| ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(852,plain,
! [SV54: $i] :
( ( ( ~ ( pred_attacker @ SV54 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(853,plain,
! [SV55: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ SV55 ) ) )
= $true )
| ( ( pred_attacker @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(854,plain,
! [SV101: $i,SV56: $i] :
( ( ~ ( pred_attacker @ ( tuple_2 @ SV56 @ SV101 ) )
| ( pred_attacker @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(855,plain,
! [SV102: $i,SV57: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV57 @ SV102 ) )
| ( pred_attacker @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(856,plain,
! [SV58: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_1 @ SV58 ) ) )
= $true )
| ( ( pred_attacker @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(857,plain,
! [SV103: $i,SV59: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV59 )
| ~ ( pred_attacker @ SV103 ) )
| ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(858,plain,
! [SV104: $i,SV60: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV60 )
| ~ ( pred_attacker @ SV104 ) )
| ( pred_attacker @ ( constr_adec @ SV60 @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(859,plain,
! [SV61: $i] :
( ( ( ~ ( pred_attacker @ SV61 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(860,plain,
! [SV62: $i,SV105: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV105 )
| ~ ( pred_attacker @ SV62 ) )
| ( pred_mess @ SV105 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(861,plain,
! [SV106: $i,SV63: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV63 @ SV106 ) )
| ( pred_attacker @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(862,plain,
! [SV107: $i,SV64: $i] :
( ( ~ ~ ( ~ ( pred_attacker @ SV64 )
| ~ ( pred_attacker @ SV107 ) )
| ( pred_attacker @ ( constr_sign @ SV64 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(863,plain,
! [SV65: $i] :
( ( ( ~ ( pred_attacker @ SV65 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_1 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(864,plain,
! [SV108: $i,SV66: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV66 @ SV108 ) )
| ( pred_attacker @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(865,plain,
! [SV67: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_3 @ SV67 ) ) )
= $true )
| ( ( pred_attacker @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(866,plain,
! [SV68: $i] :
( ( ( ~ ( pred_attacker @ SV68 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(867,plain,
! [SV69: $i] :
( ( ( ~ ( pred_attacker @ SV69 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(868,plain,
! [SV70: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_2 @ SV70 ) ) )
= $true )
| ( ( pred_attacker @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(869,plain,
! [SV109: $i,SV71: $i] :
( ( ~ ( pred_attacker @ ( tuple_2 @ SV71 @ SV109 ) )
| ( pred_attacker @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(870,plain,
! [SV110: $i,SV72: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV72 @ SV110 ) )
| ( pred_attacker @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(871,plain,
! [SV12: $i] :
( ( ( pred_attacker @ SV12 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(872,plain,
! [SV82: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV13 )
| ~ ( pred_attacker @ SV82 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV13 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(873,plain,
! [SV14: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV14 ) )
= $false )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(874,plain,
! [SV15: $i] :
( ( ( pred_attacker @ SV15 )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(875,plain,
! [SV16: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV16 ) )
= $false )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(876,plain,
! [SV17: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV17 ) )
= $false )
| ( ( pred_attacker @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(877,plain,
! [SV83: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV18 )
| ~ ( pred_attacker @ SV83 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV18 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(878,plain,
! [SV84: $i,SV19: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV19 @ SV84 ) ) )
= $true )
| ( ( pred_attacker @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(879,plain,
! [SV20: $i] :
( ( ( pred_attacker @ SV20 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(880,plain,
! [SV21: $i] :
( ( ( pred_attacker @ SV21 )
= $false )
| ( ( pred_attacker @ ( tuple_out_2 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(881,plain,
! [SV22: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV22 ) )
= $false )
| ( ( pred_attacker @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(882,plain,
! [SV85: $i,SV23: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV23 @ SV85 ) ) )
= $true )
| ( ( pred_attacker @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(883,plain,
! [SV86: $i,SV24: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV24 @ SV86 ) ) )
= $true )
| ( ( pred_attacker @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(884,plain,
! [SV25: $i] :
( ( ( pred_attacker @ SV25 )
= $false )
| ( ( pred_attacker @ ( constr_getmess @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(885,plain,
! [SV26: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV26 ) )
= $false )
| ( ( pred_attacker @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(886,plain,
! [SV27: $i] :
( ( ( pred_attacker @ SV27 )
= $false )
| ( ( pred_attacker @ ( tuple_out_3 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(887,plain,
! [SV87: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV28 )
| ~ ( pred_attacker @ SV87 ) ) )
= $true )
| ( ( pred_attacker @ ( constr_aenc @ SV28 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(888,plain,
! [SV29: $i] :
( ( ( pred_attacker @ SV29 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(889,plain,
! [SV30: $i] :
( ( ( pred_attacker @ SV30 )
= $false )
| ( ( pred_attacker @ ( tuple_out_1 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(890,plain,
! [SV31: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV88 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SV31 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(891,plain,
! [SV32: $i] :
( ( ( pred_attacker @ SV32 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(892,plain,
! [SV33: $i] :
( ( ( pred_attacker @ SV33 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(893,plain,
! [SV34: $i] :
( ( ( pred_attacker @ SV34 )
= $false )
| ( ( pred_attacker @ ( constr_pkey @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(894,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(895,plain,
! [SV90: $i,SV36: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV36 @ SV90 ) ) )
= $true )
| ( ( pred_attacker @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(896,plain,
! [SV37: $i] :
( ( ( pred_attacker @ SV37 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(897,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
| ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(898,plain,
! [SV39: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV39 ) )
= $false )
| ( ( pred_attacker @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(899,plain,
! [SV40: $i] :
( ( ( pred_attacker @ SV40 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(900,plain,
! [SV41: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ( pred_mess @ SV92 @ SV41 )
| ~ ( pred_attacker @ SV92 ) ) )
= $true )
| ( ( pred_attacker @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(901,plain,
! [SV93: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV42 )
| ~ ( pred_attacker @ SV93 ) ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV42 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(902,plain,
! [SV43: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV43 ) )
= $false )
| ( ( pred_attacker @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(903,plain,
! [SV113: $i,SV94: $i,SV44: $i] :
( ( ~ ~ ( ~ ( pred_table @ ( tuple_keys @ SV44 @ SV94 ) )
| ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV113 @ SV44 ) ) )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SV94 ) @ name_skS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(904,plain,
! [SV95: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV95 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV45 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(905,plain,
! [SV96: $i,SV46: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SV96 ) ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV46 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(906,plain,
! [SV97: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV47 )
| ~ ( pred_attacker @ SV97 ) ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV47 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(907,plain,
! [SV48: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV48 ) )
= $false )
| ( ( pred_attacker @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(908,plain,
! [SV98: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV49 )
| ~ ( pred_attacker @ SV98 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV49 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(909,plain,
! [SV50: $i] :
( ( ( pred_attacker @ SV50 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(910,plain,
! [SV51: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV51 ) )
= $false )
| ( ( pred_attacker @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(911,plain,
! [SV99: $i,SV114: $i,SV52: $i] :
( ( ! [SY164: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY164 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY164 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(912,plain,
! [SV100: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV53 != name_B ) )
| ~ ( ( SV53 != name_A ) ) )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(913,plain,
! [SV54: $i] :
( ( ( pred_attacker @ SV54 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(914,plain,
! [SV55: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV55 ) )
= $false )
| ( ( pred_attacker @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(915,plain,
! [SV101: $i,SV56: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_2 @ SV56 @ SV101 ) ) )
= $true )
| ( ( pred_attacker @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(916,plain,
! [SV102: $i,SV57: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV57 @ SV102 ) ) )
= $true )
| ( ( pred_attacker @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(917,plain,
! [SV58: $i] :
( ( ( pred_attacker @ ( tuple_out_1 @ SV58 ) )
= $false )
| ( ( pred_attacker @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(918,plain,
! [SV103: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV59 )
| ~ ( pred_attacker @ SV103 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(919,plain,
! [SV104: $i,SV60: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV60 )
| ~ ( pred_attacker @ SV104 ) ) )
= $true )
| ( ( pred_attacker @ ( constr_adec @ SV60 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(920,plain,
! [SV61: $i] :
( ( ( pred_attacker @ SV61 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(921,plain,
! [SV62: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV105 )
| ~ ( pred_attacker @ SV62 ) ) )
= $true )
| ( ( pred_mess @ SV105 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(922,plain,
! [SV106: $i,SV63: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV63 @ SV106 ) ) )
= $true )
| ( ( pred_attacker @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(923,plain,
! [SV107: $i,SV64: $i] :
( ( ( ~ ~ ( ~ ( pred_attacker @ SV64 )
| ~ ( pred_attacker @ SV107 ) ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV64 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(924,plain,
! [SV65: $i] :
( ( ( pred_attacker @ SV65 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_1 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(925,plain,
! [SV108: $i,SV66: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV66 @ SV108 ) ) )
= $true )
| ( ( pred_attacker @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(926,plain,
! [SV67: $i] :
( ( ( pred_attacker @ ( tuple_out_3 @ SV67 ) )
= $false )
| ( ( pred_attacker @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(927,plain,
! [SV68: $i] :
( ( ( pred_attacker @ SV68 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(928,plain,
! [SV69: $i] :
( ( ( pred_attacker @ SV69 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(929,plain,
! [SV70: $i] :
( ( ( pred_attacker @ ( tuple_out_2 @ SV70 ) )
= $false )
| ( ( pred_attacker @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(930,plain,
! [SV109: $i,SV71: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_2 @ SV71 @ SV109 ) ) )
= $true )
| ( ( pred_attacker @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(931,plain,
! [SV110: $i,SV72: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV72 @ SV110 ) ) )
= $true )
| ( ( pred_attacker @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(932,plain,
! [SV82: $i,SV13: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV13 )
| ~ ( pred_attacker @ SV82 ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_2 @ SV13 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(933,plain,
! [SV83: $i,SV18: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV18 )
| ~ ( pred_attacker @ SV83 ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV18 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(934,plain,
! [SV84: $i,SV19: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV19 @ SV84 ) )
= $false )
| ( ( pred_attacker @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(935,plain,
! [SV85: $i,SV23: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV23 @ SV85 ) )
= $false )
| ( ( pred_attacker @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(936,plain,
! [SV86: $i,SV24: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV24 @ SV86 ) )
= $false )
| ( ( pred_attacker @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(937,plain,
! [SV87: $i,SV28: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV28 )
| ~ ( pred_attacker @ SV87 ) ) )
= $false )
| ( ( pred_attacker @ ( constr_aenc @ SV28 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(938,plain,
! [SV31: $i,SV88: $i] :
( ( ( ~ ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV88 ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SV31 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(939,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(940,plain,
! [SV90: $i,SV36: $i] :
( ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV36 @ SV90 ) )
= $false )
| ( ( pred_attacker @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(941,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(942,plain,
! [SV41: $i,SV92: $i] :
( ( ( ~ ( ~ ( pred_mess @ SV92 @ SV41 )
| ~ ( pred_attacker @ SV92 ) ) )
= $false )
| ( ( pred_attacker @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(943,plain,
! [SV93: $i,SV42: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV42 )
| ~ ( pred_attacker @ SV93 ) ) )
= $false )
| ( ( pred_attacker @ ( constr_checksign @ SV42 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(944,plain,
! [SV113: $i,SV94: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ( pred_table @ ( tuple_keys @ SV44 @ SV94 ) )
| ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV113 @ SV44 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SV94 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(945,plain,
! [SV95: $i,SV45: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV95 ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV45 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(946,plain,
! [SV96: $i,SV46: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SV96 ) ) )
= $false )
| ( ( pred_attacker @ ( constr_dec @ SV46 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(947,plain,
! [SV97: $i,SV47: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV47 )
| ~ ( pred_attacker @ SV97 ) ) )
= $false )
| ( ( pred_attacker @ ( constr_enc @ SV47 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(948,plain,
! [SV98: $i,SV49: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV49 )
| ~ ( pred_attacker @ SV98 ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV49 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(949,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(950,plain,
! [SV100: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV53 != name_B ) )
| ~ ( ( SV53 != name_A ) ) )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) ) )
= $false )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(951,plain,
! [SV101: $i,SV56: $i] :
( ( ( pred_attacker @ ( tuple_2 @ SV56 @ SV101 ) )
= $false )
| ( ( pred_attacker @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(952,plain,
! [SV102: $i,SV57: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV57 @ SV102 ) )
= $false )
| ( ( pred_attacker @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(953,plain,
! [SV103: $i,SV59: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV59 )
| ~ ( pred_attacker @ SV103 ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(954,plain,
! [SV104: $i,SV60: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV60 )
| ~ ( pred_attacker @ SV104 ) ) )
= $false )
| ( ( pred_attacker @ ( constr_adec @ SV60 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(955,plain,
! [SV62: $i,SV105: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV105 )
| ~ ( pred_attacker @ SV62 ) ) )
= $false )
| ( ( pred_mess @ SV105 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(956,plain,
! [SV106: $i,SV63: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV63 @ SV106 ) )
= $false )
| ( ( pred_attacker @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(957,plain,
! [SV107: $i,SV64: $i] :
( ( ( ~ ( ~ ( pred_attacker @ SV64 )
| ~ ( pred_attacker @ SV107 ) ) )
= $false )
| ( ( pred_attacker @ ( constr_sign @ SV64 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(958,plain,
! [SV108: $i,SV66: $i] :
( ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV66 @ SV108 ) )
= $false )
| ( ( pred_attacker @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(959,plain,
! [SV109: $i,SV71: $i] :
( ( ( pred_attacker @ ( tuple_2 @ SV71 @ SV109 ) )
= $false )
| ( ( pred_attacker @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(960,plain,
! [SV110: $i,SV72: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV72 @ SV110 ) )
= $false )
| ( ( pred_attacker @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(961,plain,
! [SV82: $i,SV13: $i] :
( ( ( ~ ( pred_attacker @ SV13 )
| ~ ( pred_attacker @ SV82 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV13 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(962,plain,
! [SV83: $i,SV18: $i] :
( ( ( ~ ( pred_attacker @ SV18 )
| ~ ( pred_attacker @ SV83 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV18 @ SV83 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(963,plain,
! [SV87: $i,SV28: $i] :
( ( ( ~ ( pred_attacker @ SV28 )
| ~ ( pred_attacker @ SV87 ) )
= $true )
| ( ( pred_attacker @ ( constr_aenc @ SV28 @ SV87 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(964,plain,
! [SV31: $i,SV88: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV88 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SV31 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(965,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(966,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(967,plain,
! [SV41: $i,SV92: $i] :
( ( ( ~ ( pred_mess @ SV92 @ SV41 )
| ~ ( pred_attacker @ SV92 ) )
= $true )
| ( ( pred_attacker @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[942]) ).
thf(968,plain,
! [SV93: $i,SV42: $i] :
( ( ( ~ ( pred_attacker @ SV42 )
| ~ ( pred_attacker @ SV93 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV42 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(969,plain,
! [SV113: $i,SV94: $i,SV44: $i] :
( ( ( ~ ( ~ ( pred_table @ ( tuple_keys @ SV44 @ SV94 ) )
| ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV113 @ SV44 ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SV94 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(970,plain,
! [SV95: $i,SV45: $i] :
( ( ( ~ ( pred_attacker @ SV45 )
| ~ ( pred_attacker @ SV95 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV45 @ SV95 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(971,plain,
! [SV96: $i,SV46: $i] :
( ( ( ~ ( pred_attacker @ SV46 )
| ~ ( pred_attacker @ SV96 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV46 @ SV96 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(972,plain,
! [SV97: $i,SV47: $i] :
( ( ( ~ ( pred_attacker @ SV47 )
| ~ ( pred_attacker @ SV97 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV47 @ SV97 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[947]) ).
thf(973,plain,
! [SV98: $i,SV49: $i] :
( ( ( ~ ( pred_attacker @ SV49 )
| ~ ( pred_attacker @ SV98 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV49 @ SV98 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(974,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(975,plain,
! [SV100: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ( ( SV53 != name_B ) )
| ~ ( ( SV53 != name_A ) ) )
| ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(976,plain,
! [SV103: $i,SV59: $i] :
( ( ( ~ ( pred_attacker @ SV59 )
| ~ ( pred_attacker @ SV103 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV103 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(977,plain,
! [SV104: $i,SV60: $i] :
( ( ( ~ ( pred_attacker @ SV60 )
| ~ ( pred_attacker @ SV104 ) )
= $true )
| ( ( pred_attacker @ ( constr_adec @ SV60 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[954]) ).
thf(978,plain,
! [SV62: $i,SV105: $i] :
( ( ( ~ ( pred_attacker @ SV105 )
| ~ ( pred_attacker @ SV62 ) )
= $true )
| ( ( pred_mess @ SV105 @ SV62 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(979,plain,
! [SV107: $i,SV64: $i] :
( ( ( ~ ( pred_attacker @ SV64 )
| ~ ( pred_attacker @ SV107 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV64 @ SV107 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(980,plain,
! [SV82: $i,SV13: $i] :
( ( ( ~ ( pred_attacker @ SV13 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV82 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV13 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(981,plain,
! [SV83: $i,SV18: $i] :
( ( ( ~ ( pred_attacker @ SV18 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV83 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV18 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(982,plain,
! [SV87: $i,SV28: $i] :
( ( ( ~ ( pred_attacker @ SV28 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV87 ) )
= $true )
| ( ( pred_attacker @ ( constr_aenc @ SV28 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(983,plain,
! [SV31: $i,SV88: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV88 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SV31 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(984,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(985,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(986,plain,
! [SV41: $i,SV92: $i] :
( ( ( ~ ( pred_mess @ SV92 @ SV41 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV92 ) )
= $true )
| ( ( pred_attacker @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(987,plain,
! [SV93: $i,SV42: $i] :
( ( ( ~ ( pred_attacker @ SV42 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV93 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV42 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(988,plain,
! [SV113: $i,SV94: $i,SV44: $i] :
( ( ( ~ ( pred_table @ ( tuple_keys @ SV44 @ SV94 ) )
| ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV113 @ SV44 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SV94 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(989,plain,
! [SV95: $i,SV45: $i] :
( ( ( ~ ( pred_attacker @ SV45 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV95 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV45 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(990,plain,
! [SV96: $i,SV46: $i] :
( ( ( ~ ( pred_attacker @ SV46 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV96 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV46 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(991,plain,
! [SV97: $i,SV47: $i] :
( ( ( ~ ( pred_attacker @ SV47 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV97 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV47 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(992,plain,
! [SV98: $i,SV49: $i] :
( ( ( ~ ( pred_attacker @ SV49 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV98 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV49 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(993,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(994,plain,
! [SV100: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ( ( SV53 != name_B ) )
| ~ ( ( SV53 != name_A ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(995,plain,
! [SV103: $i,SV59: $i] :
( ( ( ~ ( pred_attacker @ SV59 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV103 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(996,plain,
! [SV104: $i,SV60: $i] :
( ( ( ~ ( pred_attacker @ SV60 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV104 ) )
= $true )
| ( ( pred_attacker @ ( constr_adec @ SV60 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(997,plain,
! [SV62: $i,SV105: $i] :
( ( ( ~ ( pred_attacker @ SV105 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV62 ) )
= $true )
| ( ( pred_mess @ SV105 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(998,plain,
! [SV107: $i,SV64: $i] :
( ( ( ~ ( pred_attacker @ SV64 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV107 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV64 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(999,plain,
! [SV82: $i,SV13: $i] :
( ( ( pred_attacker @ SV13 )
= $false )
| ( ( ~ ( pred_attacker @ SV82 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV13 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1000,plain,
! [SV83: $i,SV18: $i] :
( ( ( pred_attacker @ SV18 )
= $false )
| ( ( ~ ( pred_attacker @ SV83 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV18 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(1001,plain,
! [SV87: $i,SV28: $i] :
( ( ( pred_attacker @ SV28 )
= $false )
| ( ( ~ ( pred_attacker @ SV87 ) )
= $true )
| ( ( pred_attacker @ ( constr_aenc @ SV28 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1002,plain,
! [SV31: $i,SV88: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV88 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SV31 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1003,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1004,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(1005,plain,
! [SV41: $i,SV92: $i] :
( ( ( pred_mess @ SV92 @ SV41 )
= $false )
| ( ( ~ ( pred_attacker @ SV92 ) )
= $true )
| ( ( pred_attacker @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1006,plain,
! [SV93: $i,SV42: $i] :
( ( ( pred_attacker @ SV42 )
= $false )
| ( ( ~ ( pred_attacker @ SV93 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV42 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1007,plain,
! [SV113: $i,SV94: $i,SV44: $i] :
( ( ( ~ ( pred_table @ ( tuple_keys @ SV44 @ SV94 ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV113 @ SV44 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SV94 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1008,plain,
! [SV95: $i,SV45: $i] :
( ( ( pred_attacker @ SV45 )
= $false )
| ( ( ~ ( pred_attacker @ SV95 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV45 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1009,plain,
! [SV96: $i,SV46: $i] :
( ( ( pred_attacker @ SV46 )
= $false )
| ( ( ~ ( pred_attacker @ SV96 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV46 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1010,plain,
! [SV97: $i,SV47: $i] :
( ( ( pred_attacker @ SV47 )
= $false )
| ( ( ~ ( pred_attacker @ SV97 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV47 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1011,plain,
! [SV98: $i,SV49: $i] :
( ( ( pred_attacker @ SV49 )
= $false )
| ( ( ~ ( pred_attacker @ SV98 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV49 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1012,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1013,plain,
! [SV100: $i,SV53: $i] :
( ( ( ~ ( ~ ( ( SV53 != name_B ) )
| ~ ( ( SV53 != name_A ) ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1014,plain,
! [SV103: $i,SV59: $i] :
( ( ( pred_attacker @ SV59 )
= $false )
| ( ( ~ ( pred_attacker @ SV103 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1015,plain,
! [SV104: $i,SV60: $i] :
( ( ( pred_attacker @ SV60 )
= $false )
| ( ( ~ ( pred_attacker @ SV104 ) )
= $true )
| ( ( pred_attacker @ ( constr_adec @ SV60 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1016,plain,
! [SV62: $i,SV105: $i] :
( ( ( pred_attacker @ SV105 )
= $false )
| ( ( ~ ( pred_attacker @ SV62 ) )
= $true )
| ( ( pred_mess @ SV105 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1017,plain,
! [SV107: $i,SV64: $i] :
( ( ( pred_attacker @ SV64 )
= $false )
| ( ( ~ ( pred_attacker @ SV107 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV64 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1018,plain,
! [SV13: $i,SV82: $i] :
( ( ( pred_attacker @ SV82 )
= $false )
| ( ( pred_attacker @ SV13 )
= $false )
| ( ( pred_attacker @ ( tuple_2 @ SV13 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1019,plain,
! [SV18: $i,SV83: $i] :
( ( ( pred_attacker @ SV83 )
= $false )
| ( ( pred_attacker @ SV18 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV18 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1020,plain,
! [SV28: $i,SV87: $i] :
( ( ( pred_attacker @ SV87 )
= $false )
| ( ( pred_attacker @ SV28 )
= $false )
| ( ( pred_attacker @ ( constr_aenc @ SV28 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1021,plain,
! [SV31: $i,SV88: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV88 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ SV31 ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV88 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1022,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1023,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1024,plain,
! [SV41: $i,SV92: $i] :
( ( ( pred_attacker @ SV92 )
= $false )
| ( ( pred_mess @ SV92 @ SV41 )
= $false )
| ( ( pred_attacker @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1025,plain,
! [SV42: $i,SV93: $i] :
( ( ( pred_attacker @ SV93 )
= $false )
| ( ( pred_attacker @ SV42 )
= $false )
| ( ( pred_attacker @ ( constr_checksign @ SV42 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1026,plain,
! [SV113: $i,SV94: $i,SV44: $i] :
( ( ( pred_table @ ( tuple_keys @ SV44 @ SV94 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV113 @ SV44 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SV94 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1027,plain,
! [SV45: $i,SV95: $i] :
( ( ( pred_attacker @ SV95 )
= $false )
| ( ( pred_attacker @ SV45 )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV45 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1028,plain,
! [SV46: $i,SV96: $i] :
( ( ( pred_attacker @ SV96 )
= $false )
| ( ( pred_attacker @ SV46 )
= $false )
| ( ( pred_attacker @ ( constr_dec @ SV46 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1029,plain,
! [SV47: $i,SV97: $i] :
( ( ( pred_attacker @ SV97 )
= $false )
| ( ( pred_attacker @ SV47 )
= $false )
| ( ( pred_attacker @ ( constr_enc @ SV47 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1030,plain,
! [SV49: $i,SV98: $i] :
( ( ( pred_attacker @ SV98 )
= $false )
| ( ( pred_attacker @ SV49 )
= $false )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV49 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1031,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1032,plain,
! [SV100: $i,SV53: $i] :
( ( ( ~ ( ( SV53 != name_B ) )
| ~ ( ( SV53 != name_A ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1033,plain,
! [SV59: $i,SV103: $i] :
( ( ( pred_attacker @ SV103 )
= $false )
| ( ( pred_attacker @ SV59 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV59 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1034,plain,
! [SV60: $i,SV104: $i] :
( ( ( pred_attacker @ SV104 )
= $false )
| ( ( pred_attacker @ SV60 )
= $false )
| ( ( pred_attacker @ ( constr_adec @ SV60 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1035,plain,
! [SV105: $i,SV62: $i] :
( ( ( pred_attacker @ SV62 )
= $false )
| ( ( pred_attacker @ SV105 )
= $false )
| ( ( pred_mess @ SV105 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1036,plain,
! [SV64: $i,SV107: $i] :
( ( ( pred_attacker @ SV107 )
= $false )
| ( ( pred_attacker @ SV64 )
= $false )
| ( ( pred_attacker @ ( constr_sign @ SV64 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1037,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1038,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1023]) ).
thf(1039,plain,
! [SV94: $i,SV44: $i,SV113: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV113 @ SV44 ) )
= $false )
| ( ( pred_table @ ( tuple_keys @ SV44 @ SV94 ) )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ SV44 @ SV94 ) @ name_skS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1040,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1041,plain,
! [SV100: $i,SV53: $i] :
( ( ( ~ ( ( SV53 != name_B ) ) )
= $true )
| ( ( ~ ( ( SV53 != name_A ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1042,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1043,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1044,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1045,plain,
! [SV100: $i,SV53: $i] :
( ( ( SV53 != name_B )
= $false )
| ( ( ~ ( ( SV53 != name_A ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1046,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1047,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1048,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1049,plain,
! [SV100: $i,SV53: $i] :
( ( ( SV53 = name_B )
= $true )
| ( ( ~ ( ( SV53 != name_A ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1050,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1051,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
| ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1052,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1053,plain,
! [SV100: $i,SV53: $i] :
( ( ( SV53 != name_A )
= $false )
| ( ( SV53 = name_B )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1054,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1055,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1056,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1057,plain,
! [SV100: $i,SV53: $i] :
( ( ( SV53 = name_A )
= $true )
| ( ( SV53 = name_B )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) ) )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1058,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1059,plain,
! [SV112: $i,SV91: $i,SV38: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1060,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1061,plain,
! [SV100: $i,SV53: $i] :
( ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV53 @ SV100 ) )
= $false )
| ( ( SV53 = name_B )
= $true )
| ( ( SV53 = name_A )
= $true )
| ( ( pred_table @ ( tuple_keys @ SV53 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1062,plain,
! [SV35: $i,SV111: $i,SV89: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1063,plain,
! [SV112: $i,SV38: $i,SV91: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1064,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1065,plain,
! [SV35: $i,SV89: $i,SV111: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1066,plain,
! [SV91: $i,SV38: $i,SV112: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1067,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1068,plain,
! [SV35: $i,SV89: $i,SV111: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV111 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV89 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV89 @ name_skB ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ SV89 @ name_skB ) ) @ ( name_Nb @ SV35 ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV111 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1069,plain,
! [SV38: $i,SV91: $i,SV112: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV112 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV91 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Na @ SV38 ) @ ( constr_tuple_2_get_0x30 @ ( constr_adec @ SV91 @ name_skA ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ SV91 @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV112 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1070,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1071,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1072,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1073,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1074,plain,
! [SV115: $i,SV99: $i,SV114: $i,SV52: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1075,plain,
! [SV115: $i,SV99: $i,SV52: $i,SV114: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1076,plain,
! [SV115: $i,SV114: $i,SV52: $i,SV99: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1077,plain,
! [SV115: $i,SV52: $i,SV114: $i,SV99: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1078,plain,
! [SV114: $i,SV52: $i,SV99: $i,SV115: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1079,plain,
! [SV52: $i,SV114: $i,SV99: $i,SV115: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV99 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV114 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV52 ) @ ( constr_adec @ SV114 @ name_skB ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ SV99 @ name_skB ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1080,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[433,1079,1069,1068,1061,1039,1036,1035,1034,1033,1030,1029,1028,1027,1025,1024,1021,1020,1019,1018,960,959,958,956,952,951,940,936,935,934,929,928,927,926,924,920,917,914,913,910,909,907,902,899,898,896,893,892,891,889,888,886,885,884,881,880,879,876,875,874,873,871,809,808,807,806,805,804,803,802,801,800,799,794,791,789,788,787,785,784,782,781,780,779,778,777,774,771,770,767,766,765,764,763,759,757,756,754,753,751,750,749,747,746,745,744,743,742,741,740,739,738,737,734,730,725,724,719,717,715,713,712,711,706,705,704,703,701,700,698,697,696,695,694,693,692,690,687,686,685,684,683,682,680,676,675,674,671,664,661,660,659,505,502,501,500,499,498,497,494,493,492,491,485,484,483,482,481,451]) ).
thf(1081,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW960+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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.15 % Computer : n004.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Tue Oct 6 17:07:33 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.24/1.22
% 6.24/1.22 No.of.Axioms: 168
% 6.24/1.22
% 6.24/1.22 Length.of.Defs: 0
% 6.24/1.22
% 6.24/1.22 Contains.Choice.Funs: false
% 6.24/1.22 ..........................
% 6.24/1.22
% 6.24/1.22 ********************************
% 6.24/1.22 * All subproblems solved! *
% 6.24/1.22 ********************************
% 6.24/1.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:168,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1080,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.24/1.22
% 6.24/1.22 %**** Beginning of derivation protocol ****
% 6.24/1.22 % SZS output start CNFRefutation
% See solution above
% 6.24/1.23
% 6.24/1.23 %**** End of derivation protocol ****
% 6.24/1.23 %**** no. of clauses in derivation: 1081 ****
% 6.24/1.23 %**** clause counter: 1080 ****
% 6.24/1.23
% 6.24/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:168,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1080,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------