TSTP Solution File: SWW962+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWW962+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:51:32 EDT 2022
% Result : Theorem 0.45s 0.70s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 227
% Syntax : Number of formulae : 1074 ( 777 unt; 58 typ; 0 def)
% Number of atoms : 4066 (1574 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 4675 ( 821 ~; 626 |; 44 &;3060 @)
% ( 0 <=>; 124 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% Number of symbols : 61 ( 58 usr; 18 con; 0-2 aty)
% Number of variables : 960 ( 0 ^ 960 !; 0 ?; 960 :)
% 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_assoc_pair_2_get_0x30,type,
constr_assoc_pair_2_get_0x30: $i > $i ).
thf(tp_constr_assoc_pair_2_get_0x30_bitstring,type,
constr_assoc_pair_2_get_0x30_bitstring: $i > $i ).
thf(tp_constr_assoc_pair_2_get_1,type,
constr_assoc_pair_2_get_1: $i > $i ).
thf(tp_constr_assoc_pair_2_get_1_bitstring,type,
constr_assoc_pair_2_get_1_bitstring: $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_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_711,type,
sK1_VAR_V_711: $i ).
thf(tp_tuple_2,type,
tuple_2: $i > $i > $i ).
thf(tp_tuple_assoc_pair,type,
tuple_assoc_pair: $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(3,axiom,
! [VAR_0X40SID_60X306: $i,VAR_AENC_NA_A_60X308: $i,VAR_AENC_NB_60X307: $i,VAR_SIGN_A_PKA_60X309: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_60X306 ) @ ( constr_adec @ VAR_AENC_NB_60X307 @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_AENC_NB_60X307 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_60X308 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_60X308 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_60X309 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_60X309 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax173) ).
thf(4,axiom,
! [VAR_0X40SID_582: $i,VAR_AENC_NA_A_580X30: $i,VAR_SIGN_A_PKA_581: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_580X30 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_580X30 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_581 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_581 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ VAR_AENC_NA_A_580X30 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ VAR_0X40SID_582 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_581 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax172) ).
thf(5,axiom,
pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).
thf(8,axiom,
pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax168) ).
thf(9,axiom,
pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).
thf(10,axiom,
pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).
thf(11,axiom,
pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).
thf(14,axiom,
! [VAR_V_273: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_273 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).
thf(16,axiom,
pred_attacker @ name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).
thf(17,axiom,
pred_attacker @ name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).
thf(18,axiom,
pred_attacker @ name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax158) ).
thf(19,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).
thf(20,axiom,
! [VAR_V_269: $i,VAR_V_270X30: $i] :
( ( ( pred_attacker @ VAR_V_270X30 )
& ( pred_attacker @ VAR_V_269 ) )
=> ( pred_mess @ VAR_V_270X30 @ VAR_V_269 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).
thf(21,axiom,
! [VAR_V_267: $i,VAR_V_268: $i] :
( ( ( pred_mess @ VAR_V_268 @ VAR_V_267 )
& ( pred_attacker @ VAR_V_268 ) )
=> ( pred_attacker @ VAR_V_267 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).
thf(22,axiom,
! [VAR_V_264: $i,VAR_V_265: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_264 @ VAR_V_265 ) )
=> ( pred_attacker @ VAR_V_265 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).
thf(23,axiom,
! [VAR_V_261: $i,VAR_V_262: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_261 @ VAR_V_262 ) )
=> ( pred_attacker @ VAR_V_261 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax153) ).
thf(24,axiom,
! [VAR_V_253: $i,VAR_V_254: $i] :
( ( ( pred_attacker @ VAR_V_253 )
& ( pred_attacker @ VAR_V_254 ) )
=> ( pred_attacker @ ( tuple_2 @ VAR_V_253 @ VAR_V_254 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).
thf(25,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).
thf(26,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax150) ).
thf(27,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).
thf(28,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).
thf(29,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax147) ).
thf(30,axiom,
! [VAR_V_245: $i,VAR_V_246: $i] :
( ( ( pred_attacker @ VAR_V_245 )
& ( pred_attacker @ VAR_V_246 ) )
=> ( pred_attacker @ ( constr_adec @ VAR_V_245 @ VAR_V_246 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax146) ).
thf(31,axiom,
! [VAR_V_241: $i,VAR_V_242: $i] :
( ( ( pred_attacker @ VAR_V_241 )
& ( pred_attacker @ VAR_V_242 ) )
=> ( pred_attacker @ ( constr_aenc @ VAR_V_241 @ VAR_V_242 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).
thf(32,axiom,
! [VAR_V_236: $i,VAR_V_237: $i] :
( ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_236 @ VAR_V_237 ) )
=> ( pred_attacker @ VAR_V_237 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).
thf(33,axiom,
! [VAR_V_233: $i,VAR_V_234: $i] :
( ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_233 @ VAR_V_234 ) )
=> ( pred_attacker @ VAR_V_233 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).
thf(34,axiom,
! [VAR_V_225: $i,VAR_V_226: $i] :
( ( ( pred_attacker @ VAR_V_225 )
& ( pred_attacker @ VAR_V_226 ) )
=> ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_225 @ VAR_V_226 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).
thf(35,axiom,
! [VAR_V_222: $i] :
( ( pred_attacker @ VAR_V_222 )
=> ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ VAR_V_222 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
thf(36,axiom,
! [VAR_V_220X30: $i] :
( ( pred_attacker @ VAR_V_220X30 )
=> ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ VAR_V_220X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).
thf(37,axiom,
! [VAR_V_218: $i] :
( ( pred_attacker @ VAR_V_218 )
=> ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ VAR_V_218 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).
thf(38,axiom,
! [VAR_V_216: $i] :
( ( pred_attacker @ VAR_V_216 )
=> ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ VAR_V_216 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).
thf(39,axiom,
! [VAR_V_213: $i,VAR_V_214: $i] :
( ( ( pred_attacker @ VAR_V_213 )
& ( pred_attacker @ VAR_V_214 ) )
=> ( pred_attacker @ ( constr_checksign @ VAR_V_213 @ VAR_V_214 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).
thf(40,axiom,
! [VAR_V_20X309: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X309 ) )
=> ( pred_attacker @ VAR_V_20X309 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
thf(41,axiom,
! [VAR_V_20X306: $i] :
( ( pred_attacker @ VAR_V_20X306 )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X306 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).
thf(42,axiom,
! [VAR_V_20X303: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X303 ) )
=> ( pred_attacker @ VAR_V_20X303 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
thf(43,axiom,
! [VAR_V_20X300X30: $i] :
( ( pred_attacker @ VAR_V_20X300X30 )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X300X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).
thf(44,axiom,
! [VAR_V_196: $i,VAR_V_197: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_196 @ VAR_V_197 ) )
=> ( pred_attacker @ VAR_V_197 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).
thf(45,axiom,
! [VAR_V_193: $i,VAR_V_194: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_193 @ VAR_V_194 ) )
=> ( pred_attacker @ VAR_V_193 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
thf(46,axiom,
! [VAR_V_185: $i,VAR_V_186: $i] :
( ( ( pred_attacker @ VAR_V_185 )
& ( pred_attacker @ VAR_V_186 ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_185 @ VAR_V_186 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).
thf(47,axiom,
! [VAR_V_181: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_181 ) )
=> ( pred_attacker @ VAR_V_181 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).
thf(48,axiom,
! [VAR_V_178: $i] :
( ( pred_attacker @ VAR_V_178 )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_178 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).
thf(49,axiom,
! [VAR_V_175: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_175 ) )
=> ( pred_attacker @ VAR_V_175 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax127) ).
thf(50,axiom,
! [VAR_V_172: $i] :
( ( pred_attacker @ VAR_V_172 )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_172 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
thf(51,axiom,
! [VAR_V_169: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_169 ) )
=> ( pred_attacker @ VAR_V_169 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).
thf(52,axiom,
! [VAR_V_166: $i] :
( ( pred_attacker @ VAR_V_166 )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_166 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).
thf(53,axiom,
! [VAR_V_163: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_163 ) )
=> ( pred_attacker @ VAR_V_163 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).
thf(54,axiom,
! [VAR_V_160X30: $i] :
( ( pred_attacker @ VAR_V_160X30 )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_160X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
thf(55,axiom,
! [VAR_V_157: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_157 ) )
=> ( pred_attacker @ VAR_V_157 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).
thf(56,axiom,
! [VAR_V_154: $i] :
( ( pred_attacker @ VAR_V_154 )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_154 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).
thf(57,axiom,
! [VAR_V_150X30: $i,VAR_V_151: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_150X30 @ VAR_V_151 ) )
=> ( pred_attacker @ VAR_V_151 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).
thf(58,axiom,
! [VAR_V_147: $i,VAR_V_148: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_147 @ VAR_V_148 ) )
=> ( pred_attacker @ VAR_V_147 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).
thf(59,axiom,
! [VAR_V_139: $i,VAR_V_140X30: $i] :
( ( ( pred_attacker @ VAR_V_139 )
& ( pred_attacker @ VAR_V_140X30 ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_139 @ VAR_V_140X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
thf(60,axiom,
! [VAR_V_135: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_135 ) )
=> ( pred_attacker @ VAR_V_135 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
thf(61,axiom,
! [VAR_V_132: $i] :
( ( pred_attacker @ VAR_V_132 )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_132 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).
thf(62,axiom,
! [VAR_V_129: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_129 ) )
=> ( pred_attacker @ VAR_V_129 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).
thf(63,axiom,
! [VAR_V_126: $i] :
( ( pred_attacker @ VAR_V_126 )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_126 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
thf(64,axiom,
! [VAR_V_123: $i,VAR_V_124: $i] :
( ( ( pred_attacker @ VAR_V_123 )
& ( pred_attacker @ VAR_V_124 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_123 @ VAR_V_124 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).
thf(65,axiom,
! [VAR_V_119: $i,VAR_V_120X30: $i] :
( ( ( pred_attacker @ VAR_V_119 )
& ( pred_attacker @ VAR_V_120X30 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_119 @ VAR_V_120X30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
thf(66,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).
thf(67,axiom,
! [VAR_V_116: $i] :
( ( pred_attacker @ VAR_V_116 )
=> ( pred_attacker @ ( constr_getmess @ VAR_V_116 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
thf(68,axiom,
! [VAR_V_112: $i,VAR_V_113: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_112 @ VAR_V_113 ) )
=> ( pred_attacker @ VAR_V_113 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).
thf(69,axiom,
! [VAR_V_10X309: $i,VAR_V_110X30: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X309 @ VAR_V_110X30 ) )
=> ( pred_attacker @ VAR_V_10X309 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).
thf(70,axiom,
! [VAR_V_10X301: $i,VAR_V_10X302: $i] :
( ( ( pred_attacker @ VAR_V_10X301 )
& ( pred_attacker @ VAR_V_10X302 ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X301 @ VAR_V_10X302 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
thf(71,axiom,
! [VAR_V_96: $i,VAR_V_97: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_96 @ VAR_V_97 ) )
=> ( pred_attacker @ VAR_V_97 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
thf(72,axiom,
! [VAR_V_93: $i,VAR_V_94: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_93 @ VAR_V_94 ) )
=> ( pred_attacker @ VAR_V_93 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
thf(73,axiom,
! [VAR_V_85: $i,VAR_V_86: $i] :
( ( ( pred_attacker @ VAR_V_85 )
& ( pred_attacker @ VAR_V_86 ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_85 @ VAR_V_86 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
thf(74,axiom,
! [VAR_V_81: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_81 ) )
=> ( pred_attacker @ VAR_V_81 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
thf(75,axiom,
! [VAR_V_78: $i] :
( ( pred_attacker @ VAR_V_78 )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_78 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
thf(76,axiom,
! [VAR_V_74: $i] :
( ( pred_attacker @ ( tuple_out_1 @ VAR_V_74 ) )
=> ( pred_attacker @ VAR_V_74 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).
thf(77,axiom,
! [VAR_V_71: $i] :
( ( pred_attacker @ VAR_V_71 )
=> ( pred_attacker @ ( tuple_out_1 @ VAR_V_71 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).
thf(78,axiom,
! [VAR_V_68: $i] :
( ( pred_attacker @ ( tuple_out_2 @ VAR_V_68 ) )
=> ( pred_attacker @ VAR_V_68 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).
thf(79,axiom,
! [VAR_V_65: $i] :
( ( pred_attacker @ VAR_V_65 )
=> ( pred_attacker @ ( tuple_out_2 @ VAR_V_65 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).
thf(80,axiom,
! [VAR_V_62: $i] :
( ( pred_attacker @ ( tuple_out_3 @ VAR_V_62 ) )
=> ( pred_attacker @ VAR_V_62 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).
thf(81,axiom,
! [VAR_V_59: $i] :
( ( pred_attacker @ VAR_V_59 )
=> ( pred_attacker @ ( tuple_out_3 @ VAR_V_59 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
thf(82,axiom,
! [VAR_V_57: $i] :
( ( pred_attacker @ VAR_V_57 )
=> ( pred_attacker @ ( constr_pkey @ VAR_V_57 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
thf(83,axiom,
! [VAR_V_54: $i,VAR_V_55: $i] :
( ( ( pred_attacker @ VAR_V_54 )
& ( pred_attacker @ VAR_V_55 ) )
=> ( pred_attacker @ ( constr_sign @ VAR_V_54 @ VAR_V_55 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
thf(84,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
thf(85,axiom,
! [VAR_V_51: $i] :
( ( pred_attacker @ VAR_V_51 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_51 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
thf(86,axiom,
! [VAR_V_49: $i] :
( ( pred_attacker @ VAR_V_49 )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_49 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
thf(88,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',ax88) ).
thf(89,axiom,
! [VAR_X0X30_7: $i,VAR_X1_8: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_7 @ VAR_X1_8 ) )
= VAR_X1_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
thf(90,axiom,
! [VAR_X0X30_9: $i,VAR_X1_10X30: $i] :
( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ VAR_X0X30_9 @ VAR_X1_10X30 ) )
= VAR_X0X30_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
thf(91,axiom,
! [VAR_X0X30_11: $i,VAR_X1_12: $i] :
( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ VAR_X0X30_11 @ VAR_X1_12 ) )
= VAR_X1_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
thf(92,axiom,
! [VAR_X0X30_13: $i,VAR_X1_14: $i] :
( ( constr_assoc_pair_2_get_0x30_bitstring @ ( tuple_assoc_pair @ VAR_X0X30_13 @ VAR_X1_14 ) )
= VAR_X0X30_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
thf(93,axiom,
! [VAR_X0X30_15: $i,VAR_X1_16: $i] :
( ( constr_assoc_pair_2_get_1_bitstring @ ( tuple_assoc_pair @ VAR_X0X30_15 @ VAR_X1_16 ) )
= VAR_X1_16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
thf(94,axiom,
! [VAR_X_17: $i,VAR_Y_18: $i,VAR_Z_0X30: $i] :
( ( tuple_assoc_pair @ VAR_X_17 @ ( tuple_assoc_pair @ VAR_Y_18 @ VAR_Z_0X30 ) )
= ( tuple_assoc_pair @ ( tuple_assoc_pair @ VAR_X_17 @ VAR_Y_18 ) @ VAR_Z_0X30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
thf(95,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(96,axiom,
! [VAR_K_20X30: $i,VAR_M_19: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_19 @ VAR_K_20X30 ) )
= VAR_M_19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(97,axiom,
! [VAR_K_22: $i,VAR_M_21: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_21 @ VAR_K_22 ) @ VAR_K_22 )
= VAR_M_21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(98,axiom,
! [VAR_K_24: $i,VAR_M_23: $i] :
( ( constr_adec @ ( constr_aenc @ VAR_M_23 @ ( constr_pkey @ VAR_K_24 ) ) @ VAR_K_24 )
= VAR_M_23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(99,axiom,
name_skB != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(100,axiom,
name_skA != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
thf(101,axiom,
name_skA != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
thf(102,axiom,
name_objective != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
thf(103,axiom,
name_objective != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(104,axiom,
name_objective != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(105,axiom,
name_c != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(106,axiom,
name_c != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(107,axiom,
name_c != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
thf(108,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(109,axiom,
name_I != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(110,axiom,
name_I != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(111,axiom,
name_I != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(112,axiom,
name_I != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(113,axiom,
name_I != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(114,axiom,
name_B != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(115,axiom,
name_B != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(116,axiom,
name_B != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(117,axiom,
name_B != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(118,axiom,
name_B != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(119,axiom,
name_B != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(120,axiom,
name_A != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(121,axiom,
name_A != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(122,axiom,
name_A != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(123,axiom,
name_A != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(124,axiom,
name_A != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(125,axiom,
name_A != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(126,axiom,
name_A != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(127,axiom,
constr_CONST_4 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(128,axiom,
constr_CONST_4 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(129,axiom,
constr_CONST_4 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(130,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(131,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(132,axiom,
constr_CONST_4 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(133,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(134,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(135,axiom,
constr_CONST_3 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(136,axiom,
constr_CONST_3 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(137,axiom,
constr_CONST_3 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(138,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(139,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(140,axiom,
constr_CONST_3 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(141,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(142,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(143,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(144,axiom,
constr_CONST_2 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(145,axiom,
constr_CONST_2 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(146,axiom,
constr_CONST_2 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(147,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(148,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(149,axiom,
constr_CONST_2 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(150,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(151,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(152,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(153,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(154,axiom,
constr_CONST_1 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(155,axiom,
constr_CONST_1 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(156,axiom,
constr_CONST_1 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(157,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(158,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(159,axiom,
constr_CONST_1 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(160,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(161,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(162,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(163,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(164,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(165,axiom,
constr_CONST_0x30 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(166,axiom,
constr_CONST_0x30 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(167,axiom,
constr_CONST_0x30 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(168,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(169,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(170,axiom,
constr_CONST_0x30 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(171,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(172,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(173,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(174,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(175,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(176,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(177,conjecture,
! [VAR_V_711: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ VAR_V_711 ) @ name_objective ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(178,negated_conjecture,
( ( ! [VAR_V_711: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ VAR_V_711 ) @ name_objective ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[177]) ).
thf(179,plain,
( ( ! [VAR_V_711: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ VAR_V_711 ) @ name_objective ) ) )
= $false ),
inference(unfold_def,[status(thm)],[178]) ).
thf(180,plain,
( ( ! [VAR_0X40SID_60X306: $i,VAR_AENC_NA_A_60X308: $i,VAR_AENC_NB_60X307: $i,VAR_SIGN_A_PKA_60X309: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_60X306 ) @ ( constr_adec @ VAR_AENC_NB_60X307 @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_AENC_NB_60X307 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_60X308 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_60X308 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_60X309 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_60X309 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(181,plain,
( ( ! [VAR_0X40SID_582: $i,VAR_AENC_NA_A_580X30: $i,VAR_SIGN_A_PKA_581: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_580X30 @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_580X30 ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_581 @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_581 ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ VAR_AENC_NA_A_580X30 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ VAR_0X40SID_582 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_581 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(182,plain,
( ( pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(183,plain,
( ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(184,plain,
( ( pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(185,plain,
( ( pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(186,plain,
( ( pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(187,plain,
( ( ! [VAR_X0X30_9: $i,VAR_X1_10X30: $i] :
( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ VAR_X0X30_9 @ VAR_X1_10X30 ) )
= VAR_X0X30_9 ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(188,plain,
( ( ! [VAR_X0X30_11: $i,VAR_X1_12: $i] :
( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ VAR_X0X30_11 @ VAR_X1_12 ) )
= VAR_X1_12 ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(189,plain,
( ( ! [VAR_X0X30_13: $i,VAR_X1_14: $i] :
( ( constr_assoc_pair_2_get_0x30_bitstring @ ( tuple_assoc_pair @ VAR_X0X30_13 @ VAR_X1_14 ) )
= VAR_X0X30_13 ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(190,plain,
( ( ! [VAR_X0X30_15: $i,VAR_X1_16: $i] :
( ( constr_assoc_pair_2_get_1_bitstring @ ( tuple_assoc_pair @ VAR_X0X30_15 @ VAR_X1_16 ) )
= VAR_X1_16 ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(191,plain,
( ( ! [VAR_X_17: $i,VAR_Y_18: $i,VAR_Z_0X30: $i] :
( ( tuple_assoc_pair @ VAR_X_17 @ ( tuple_assoc_pair @ VAR_Y_18 @ VAR_Z_0X30 ) )
= ( tuple_assoc_pair @ ( tuple_assoc_pair @ VAR_X_17 @ VAR_Y_18 ) @ VAR_Z_0X30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(192,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)],[95]) ).
thf(193,plain,
( ( ! [VAR_K_20X30: $i,VAR_M_19: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_19 @ VAR_K_20X30 ) )
= VAR_M_19 ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(194,plain,
( ( ! [VAR_K_22: $i,VAR_M_21: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_21 @ VAR_K_22 ) @ VAR_K_22 )
= VAR_M_21 ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(195,plain,
( ( ! [VAR_K_24: $i,VAR_M_23: $i] :
( ( constr_adec @ ( constr_aenc @ VAR_M_23 @ ( constr_pkey @ VAR_K_24 ) ) @ VAR_K_24 )
= VAR_M_23 ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(196,plain,
( ( ( name_skB != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(197,plain,
( ( ( name_skA != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(198,plain,
( ( ( name_skA != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(199,plain,
( ( ( name_c != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(200,plain,
( ( ( name_c != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(201,plain,
( ( ( name_c != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(202,plain,
( ( ( name_I != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(203,plain,
( ( ( name_I != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(204,plain,
( ( ( name_I != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(205,plain,
( ( ( name_I != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(206,plain,
( ( ( name_B != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(207,plain,
( ( ( name_B != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(208,plain,
( ( ( name_B != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(209,plain,
( ( ( name_B != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(210,plain,
( ( ( name_B != name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(211,plain,
( ( ( name_A != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(212,plain,
( ( ( name_A != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(213,plain,
( ( ( name_A != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(214,plain,
( ( ( name_A != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(215,plain,
( ( ( name_A != name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(216,plain,
( ( ( name_A != name_B ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(217,plain,
( ( ( constr_CONST_4 != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(218,plain,
( ( ( constr_CONST_4 != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(219,plain,
( ( ( constr_CONST_4 != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(220,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(221,plain,
( ( ( constr_CONST_4 != name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(222,plain,
( ( ( constr_CONST_4 != name_B ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(223,plain,
( ( ( constr_CONST_4 != name_A ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(224,plain,
( ( ( constr_CONST_3 != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(225,plain,
( ( ( constr_CONST_3 != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(226,plain,
( ( ( constr_CONST_3 != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(227,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(228,plain,
( ( ( constr_CONST_3 != name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(229,plain,
( ( ( constr_CONST_3 != name_B ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(230,plain,
( ( ( constr_CONST_3 != name_A ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(231,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(232,plain,
( ( ( constr_CONST_2 != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(233,plain,
( ( ( constr_CONST_2 != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(234,plain,
( ( ( constr_CONST_2 != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(235,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(236,plain,
( ( ( constr_CONST_2 != name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(237,plain,
( ( ( constr_CONST_2 != name_B ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(238,plain,
( ( ( constr_CONST_2 != name_A ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(239,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(240,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(241,plain,
( ( ( constr_CONST_1 != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(242,plain,
( ( ( constr_CONST_1 != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(243,plain,
( ( ( constr_CONST_1 != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(244,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(245,plain,
( ( ( constr_CONST_1 != name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(246,plain,
( ( ( constr_CONST_1 != name_B ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(247,plain,
( ( ( constr_CONST_1 != name_A ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(248,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(249,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(250,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(251,plain,
( ( ( constr_CONST_0x30 != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(252,plain,
( ( ( constr_CONST_0x30 != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(253,plain,
( ( ( constr_CONST_0x30 != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(254,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(255,plain,
( ( ( constr_CONST_0x30 != name_I ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(256,plain,
( ( ( constr_CONST_0x30 != name_B ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(257,plain,
( ( ( constr_CONST_0x30 != name_A ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(258,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(259,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(260,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(261,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(262,plain,
( ( ! [VAR_V_273: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_273 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(263,plain,
( ( pred_attacker @ name_A )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(264,plain,
( ( pred_attacker @ name_B )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(265,plain,
( ( pred_attacker @ name_I )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(266,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(267,plain,
( ( ! [VAR_V_269: $i,VAR_V_270X30: $i] :
( ( ( pred_attacker @ VAR_V_270X30 )
& ( pred_attacker @ VAR_V_269 ) )
=> ( pred_mess @ VAR_V_270X30 @ VAR_V_269 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(268,plain,
( ( ! [VAR_V_267: $i,VAR_V_268: $i] :
( ( ( pred_mess @ VAR_V_268 @ VAR_V_267 )
& ( pred_attacker @ VAR_V_268 ) )
=> ( pred_attacker @ VAR_V_267 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(269,plain,
( ( ! [VAR_V_264: $i,VAR_V_265: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_264 @ VAR_V_265 ) )
=> ( pred_attacker @ VAR_V_265 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(270,plain,
( ( ! [VAR_V_261: $i,VAR_V_262: $i] :
( ( pred_attacker @ ( tuple_2 @ VAR_V_261 @ VAR_V_262 ) )
=> ( pred_attacker @ VAR_V_261 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(271,plain,
( ( ! [VAR_V_253: $i,VAR_V_254: $i] :
( ( ( pred_attacker @ VAR_V_253 )
& ( pred_attacker @ VAR_V_254 ) )
=> ( pred_attacker @ ( tuple_2 @ VAR_V_253 @ VAR_V_254 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(272,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(273,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(274,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(275,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(276,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(277,plain,
( ( ! [VAR_V_245: $i,VAR_V_246: $i] :
( ( ( pred_attacker @ VAR_V_245 )
& ( pred_attacker @ VAR_V_246 ) )
=> ( pred_attacker @ ( constr_adec @ VAR_V_245 @ VAR_V_246 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(278,plain,
( ( ! [VAR_V_241: $i,VAR_V_242: $i] :
( ( ( pred_attacker @ VAR_V_241 )
& ( pred_attacker @ VAR_V_242 ) )
=> ( pred_attacker @ ( constr_aenc @ VAR_V_241 @ VAR_V_242 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(279,plain,
( ( ! [VAR_V_236: $i,VAR_V_237: $i] :
( ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_236 @ VAR_V_237 ) )
=> ( pred_attacker @ VAR_V_237 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(280,plain,
( ( ! [VAR_V_233: $i,VAR_V_234: $i] :
( ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_233 @ VAR_V_234 ) )
=> ( pred_attacker @ VAR_V_233 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(281,plain,
( ( ! [VAR_V_225: $i,VAR_V_226: $i] :
( ( ( pred_attacker @ VAR_V_225 )
& ( pred_attacker @ VAR_V_226 ) )
=> ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_225 @ VAR_V_226 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(282,plain,
( ( ! [VAR_V_222: $i] :
( ( pred_attacker @ VAR_V_222 )
=> ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ VAR_V_222 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(283,plain,
( ( ! [VAR_V_220X30: $i] :
( ( pred_attacker @ VAR_V_220X30 )
=> ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ VAR_V_220X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(284,plain,
( ( ! [VAR_V_218: $i] :
( ( pred_attacker @ VAR_V_218 )
=> ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ VAR_V_218 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(285,plain,
( ( ! [VAR_V_216: $i] :
( ( pred_attacker @ VAR_V_216 )
=> ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ VAR_V_216 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(286,plain,
( ( ! [VAR_V_213: $i,VAR_V_214: $i] :
( ( ( pred_attacker @ VAR_V_213 )
& ( pred_attacker @ VAR_V_214 ) )
=> ( pred_attacker @ ( constr_checksign @ VAR_V_213 @ VAR_V_214 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(287,plain,
( ( ! [VAR_V_20X309: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X309 ) )
=> ( pred_attacker @ VAR_V_20X309 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(288,plain,
( ( ! [VAR_V_20X306: $i] :
( ( pred_attacker @ VAR_V_20X306 )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X306 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(289,plain,
( ( ! [VAR_V_20X303: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X303 ) )
=> ( pred_attacker @ VAR_V_20X303 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(290,plain,
( ( ! [VAR_V_20X300X30: $i] :
( ( pred_attacker @ VAR_V_20X300X30 )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X300X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(291,plain,
( ( ! [VAR_V_196: $i,VAR_V_197: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_196 @ VAR_V_197 ) )
=> ( pred_attacker @ VAR_V_197 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(292,plain,
( ( ! [VAR_V_193: $i,VAR_V_194: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_193 @ VAR_V_194 ) )
=> ( pred_attacker @ VAR_V_193 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(293,plain,
( ( ! [VAR_V_185: $i,VAR_V_186: $i] :
( ( ( pred_attacker @ VAR_V_185 )
& ( pred_attacker @ VAR_V_186 ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_185 @ VAR_V_186 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(294,plain,
( ( ! [VAR_V_181: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_181 ) )
=> ( pred_attacker @ VAR_V_181 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(295,plain,
( ( ! [VAR_V_178: $i] :
( ( pred_attacker @ VAR_V_178 )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_178 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(296,plain,
( ( ! [VAR_V_175: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_175 ) )
=> ( pred_attacker @ VAR_V_175 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(297,plain,
( ( ! [VAR_V_172: $i] :
( ( pred_attacker @ VAR_V_172 )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_172 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(298,plain,
( ( ! [VAR_V_169: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_169 ) )
=> ( pred_attacker @ VAR_V_169 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(299,plain,
( ( ! [VAR_V_166: $i] :
( ( pred_attacker @ VAR_V_166 )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_166 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(300,plain,
( ( ! [VAR_V_163: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_163 ) )
=> ( pred_attacker @ VAR_V_163 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(301,plain,
( ( ! [VAR_V_160X30: $i] :
( ( pred_attacker @ VAR_V_160X30 )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_160X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(302,plain,
( ( ! [VAR_V_157: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_157 ) )
=> ( pred_attacker @ VAR_V_157 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(303,plain,
( ( ! [VAR_V_154: $i] :
( ( pred_attacker @ VAR_V_154 )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_154 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(304,plain,
( ( ! [VAR_V_150X30: $i,VAR_V_151: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_150X30 @ VAR_V_151 ) )
=> ( pred_attacker @ VAR_V_151 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(305,plain,
( ( ! [VAR_V_147: $i,VAR_V_148: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_147 @ VAR_V_148 ) )
=> ( pred_attacker @ VAR_V_147 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(306,plain,
( ( ! [VAR_V_139: $i,VAR_V_140X30: $i] :
( ( ( pred_attacker @ VAR_V_139 )
& ( pred_attacker @ VAR_V_140X30 ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_139 @ VAR_V_140X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(307,plain,
( ( ! [VAR_V_135: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_135 ) )
=> ( pred_attacker @ VAR_V_135 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(308,plain,
( ( ! [VAR_V_132: $i] :
( ( pred_attacker @ VAR_V_132 )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_132 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(309,plain,
( ( ! [VAR_V_129: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_129 ) )
=> ( pred_attacker @ VAR_V_129 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(310,plain,
( ( ! [VAR_V_126: $i] :
( ( pred_attacker @ VAR_V_126 )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_126 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(311,plain,
( ( ! [VAR_V_123: $i,VAR_V_124: $i] :
( ( ( pred_attacker @ VAR_V_123 )
& ( pred_attacker @ VAR_V_124 ) )
=> ( pred_attacker @ ( constr_dec @ VAR_V_123 @ VAR_V_124 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(312,plain,
( ( ! [VAR_V_119: $i,VAR_V_120X30: $i] :
( ( ( pred_attacker @ VAR_V_119 )
& ( pred_attacker @ VAR_V_120X30 ) )
=> ( pred_attacker @ ( constr_enc @ VAR_V_119 @ VAR_V_120X30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(313,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(314,plain,
( ( ! [VAR_V_116: $i] :
( ( pred_attacker @ VAR_V_116 )
=> ( pred_attacker @ ( constr_getmess @ VAR_V_116 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(315,plain,
( ( ! [VAR_V_112: $i,VAR_V_113: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_112 @ VAR_V_113 ) )
=> ( pred_attacker @ VAR_V_113 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(316,plain,
( ( ! [VAR_V_10X309: $i,VAR_V_110X30: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X309 @ VAR_V_110X30 ) )
=> ( pred_attacker @ VAR_V_10X309 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(317,plain,
( ( ! [VAR_V_10X301: $i,VAR_V_10X302: $i] :
( ( ( pred_attacker @ VAR_V_10X301 )
& ( pred_attacker @ VAR_V_10X302 ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X301 @ VAR_V_10X302 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(318,plain,
( ( ! [VAR_V_96: $i,VAR_V_97: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_96 @ VAR_V_97 ) )
=> ( pred_attacker @ VAR_V_97 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(319,plain,
( ( ! [VAR_V_93: $i,VAR_V_94: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_93 @ VAR_V_94 ) )
=> ( pred_attacker @ VAR_V_93 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(320,plain,
( ( ! [VAR_V_85: $i,VAR_V_86: $i] :
( ( ( pred_attacker @ VAR_V_85 )
& ( pred_attacker @ VAR_V_86 ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_85 @ VAR_V_86 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(321,plain,
( ( ! [VAR_V_81: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_81 ) )
=> ( pred_attacker @ VAR_V_81 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(322,plain,
( ( ! [VAR_V_78: $i] :
( ( pred_attacker @ VAR_V_78 )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_78 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(323,plain,
( ( ! [VAR_V_74: $i] :
( ( pred_attacker @ ( tuple_out_1 @ VAR_V_74 ) )
=> ( pred_attacker @ VAR_V_74 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(324,plain,
( ( ! [VAR_V_71: $i] :
( ( pred_attacker @ VAR_V_71 )
=> ( pred_attacker @ ( tuple_out_1 @ VAR_V_71 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(325,plain,
( ( ! [VAR_V_68: $i] :
( ( pred_attacker @ ( tuple_out_2 @ VAR_V_68 ) )
=> ( pred_attacker @ VAR_V_68 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(326,plain,
( ( ! [VAR_V_65: $i] :
( ( pred_attacker @ VAR_V_65 )
=> ( pred_attacker @ ( tuple_out_2 @ VAR_V_65 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(327,plain,
( ( ! [VAR_V_62: $i] :
( ( pred_attacker @ ( tuple_out_3 @ VAR_V_62 ) )
=> ( pred_attacker @ VAR_V_62 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(328,plain,
( ( ! [VAR_V_59: $i] :
( ( pred_attacker @ VAR_V_59 )
=> ( pred_attacker @ ( tuple_out_3 @ VAR_V_59 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(329,plain,
( ( ! [VAR_V_57: $i] :
( ( pred_attacker @ VAR_V_57 )
=> ( pred_attacker @ ( constr_pkey @ VAR_V_57 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(330,plain,
( ( ! [VAR_V_54: $i,VAR_V_55: $i] :
( ( ( pred_attacker @ VAR_V_54 )
& ( pred_attacker @ VAR_V_55 ) )
=> ( pred_attacker @ ( constr_sign @ VAR_V_54 @ VAR_V_55 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(331,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(332,plain,
( ( ! [VAR_V_51: $i] :
( ( pred_attacker @ VAR_V_51 )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_51 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(333,plain,
( ( ! [VAR_V_49: $i] :
( ( pred_attacker @ VAR_V_49 )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_49 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(334,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)],[88]) ).
thf(335,plain,
( ( ! [VAR_X0X30_7: $i,VAR_X1_8: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_7 @ VAR_X1_8 ) )
= VAR_X1_8 ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(336,plain,
( ( ( name_objective != name_skS ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(337,plain,
( ( ( name_objective != name_skB ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(338,plain,
( ( ( name_objective != name_skA ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(339,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(340,plain,
( ( ( name_I != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(341,plain,
( ( ( name_B != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(342,plain,
( ( ( name_A != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(343,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(344,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(345,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(346,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(347,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(348,plain,
( ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sK1_VAR_V_711 ) @ name_objective ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[179]) ).
thf(349,plain,
( ( ~ ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sK1_VAR_V_711 ) @ name_objective ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[348]) ).
thf(350,plain,
( ( ! [VAR_0X40SID_60X306: $i,VAR_AENC_NA_A_60X308: $i] :
( ! [VAR_AENC_NB_60X307: $i,VAR_SIGN_A_PKA_60X309: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_AENC_NB_60X307 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_60X306 ) @ ( constr_adec @ VAR_AENC_NB_60X307 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_60X308 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_60X308 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_60X309 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_60X309 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[180]) ).
thf(351,plain,
( ( ! [VAR_0X40SID_582: $i,VAR_AENC_NA_A_580X30: $i,VAR_SIGN_A_PKA_581: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_580X30 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_580X30 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_581 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_581 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ VAR_AENC_NA_A_580X30 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ VAR_0X40SID_582 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_581 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[181]) ).
thf(352,plain,
( ( ( name_skB != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[196]) ).
thf(353,plain,
( ( ( name_skA != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[197]) ).
thf(354,plain,
( ( ( name_skA != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[198]) ).
thf(355,plain,
( ( ( name_c != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[199]) ).
thf(356,plain,
( ( ( name_c != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[200]) ).
thf(357,plain,
( ( ( name_c != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[201]) ).
thf(358,plain,
( ( ( name_I != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[202]) ).
thf(359,plain,
( ( ( name_I != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[203]) ).
thf(360,plain,
( ( ( name_I != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[204]) ).
thf(361,plain,
( ( ( name_I != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[205]) ).
thf(362,plain,
( ( ( name_B != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[206]) ).
thf(363,plain,
( ( ( name_B != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[207]) ).
thf(364,plain,
( ( ( name_B != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[208]) ).
thf(365,plain,
( ( ( name_B != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[209]) ).
thf(366,plain,
( ( ( name_B != name_I ) )
= $true ),
inference(extcnf_combined,[status(esa)],[210]) ).
thf(367,plain,
( ( ( name_A != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[211]) ).
thf(368,plain,
( ( ( name_A != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[212]) ).
thf(369,plain,
( ( ( name_A != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[213]) ).
thf(370,plain,
( ( ( name_A != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[214]) ).
thf(371,plain,
( ( ( name_A != name_I ) )
= $true ),
inference(extcnf_combined,[status(esa)],[215]) ).
thf(372,plain,
( ( ( name_A != name_B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[216]) ).
thf(373,plain,
( ( ( constr_CONST_4 != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[217]) ).
thf(374,plain,
( ( ( constr_CONST_4 != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[218]) ).
thf(375,plain,
( ( ( constr_CONST_4 != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(376,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(377,plain,
( ( ( constr_CONST_4 != name_I ) )
= $true ),
inference(extcnf_combined,[status(esa)],[221]) ).
thf(378,plain,
( ( ( constr_CONST_4 != name_B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(379,plain,
( ( ( constr_CONST_4 != name_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[223]) ).
thf(380,plain,
( ( ( constr_CONST_3 != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[224]) ).
thf(381,plain,
( ( ( constr_CONST_3 != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[225]) ).
thf(382,plain,
( ( ( constr_CONST_3 != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(383,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[227]) ).
thf(384,plain,
( ( ( constr_CONST_3 != name_I ) )
= $true ),
inference(extcnf_combined,[status(esa)],[228]) ).
thf(385,plain,
( ( ( constr_CONST_3 != name_B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[229]) ).
thf(386,plain,
( ( ( constr_CONST_3 != name_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[230]) ).
thf(387,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[231]) ).
thf(388,plain,
( ( ( constr_CONST_2 != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[232]) ).
thf(389,plain,
( ( ( constr_CONST_2 != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[233]) ).
thf(390,plain,
( ( ( constr_CONST_2 != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[234]) ).
thf(391,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[235]) ).
thf(392,plain,
( ( ( constr_CONST_2 != name_I ) )
= $true ),
inference(extcnf_combined,[status(esa)],[236]) ).
thf(393,plain,
( ( ( constr_CONST_2 != name_B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[237]) ).
thf(394,plain,
( ( ( constr_CONST_2 != name_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[238]) ).
thf(395,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[239]) ).
thf(396,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[240]) ).
thf(397,plain,
( ( ( constr_CONST_1 != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[241]) ).
thf(398,plain,
( ( ( constr_CONST_1 != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[242]) ).
thf(399,plain,
( ( ( constr_CONST_1 != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[243]) ).
thf(400,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[244]) ).
thf(401,plain,
( ( ( constr_CONST_1 != name_I ) )
= $true ),
inference(extcnf_combined,[status(esa)],[245]) ).
thf(402,plain,
( ( ( constr_CONST_1 != name_B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[246]) ).
thf(403,plain,
( ( ( constr_CONST_1 != name_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[247]) ).
thf(404,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[248]) ).
thf(405,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[249]) ).
thf(406,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[250]) ).
thf(407,plain,
( ( ( constr_CONST_0x30 != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[251]) ).
thf(408,plain,
( ( ( constr_CONST_0x30 != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[252]) ).
thf(409,plain,
( ( ( constr_CONST_0x30 != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[253]) ).
thf(410,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(extcnf_combined,[status(esa)],[254]) ).
thf(411,plain,
( ( ( constr_CONST_0x30 != name_I ) )
= $true ),
inference(extcnf_combined,[status(esa)],[255]) ).
thf(412,plain,
( ( ( constr_CONST_0x30 != name_B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[256]) ).
thf(413,plain,
( ( ( constr_CONST_0x30 != name_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[257]) ).
thf(414,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[258]) ).
thf(415,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[259]) ).
thf(416,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[260]) ).
thf(417,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[261]) ).
thf(418,plain,
( ( ! [VAR_V_269: $i,VAR_V_270X30: $i] :
( ~ ( pred_attacker @ VAR_V_270X30 )
| ~ ( pred_attacker @ VAR_V_269 )
| ( pred_mess @ VAR_V_270X30 @ VAR_V_269 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[267]) ).
thf(419,plain,
( ( ! [VAR_V_267: $i] :
( ! [VAR_V_268: $i] :
( ~ ( pred_attacker @ VAR_V_268 )
| ~ ( pred_mess @ VAR_V_268 @ VAR_V_267 ) )
| ( pred_attacker @ VAR_V_267 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[268]) ).
thf(420,plain,
( ( ! [VAR_V_264: $i,VAR_V_265: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ VAR_V_264 @ VAR_V_265 ) )
| ( pred_attacker @ VAR_V_265 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[269]) ).
thf(421,plain,
( ( ! [VAR_V_261: $i] :
( ! [VAR_V_262: $i] :
~ ( pred_attacker @ ( tuple_2 @ VAR_V_261 @ VAR_V_262 ) )
| ( pred_attacker @ VAR_V_261 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[270]) ).
thf(422,plain,
( ( ! [VAR_V_253: $i,VAR_V_254: $i] :
( ~ ( pred_attacker @ VAR_V_253 )
| ~ ( pred_attacker @ VAR_V_254 )
| ( pred_attacker @ ( tuple_2 @ VAR_V_253 @ VAR_V_254 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[271]) ).
thf(423,plain,
( ( ! [VAR_V_245: $i,VAR_V_246: $i] :
( ~ ( pred_attacker @ VAR_V_245 )
| ~ ( pred_attacker @ VAR_V_246 )
| ( pred_attacker @ ( constr_adec @ VAR_V_245 @ VAR_V_246 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[277]) ).
thf(424,plain,
( ( ! [VAR_V_241: $i,VAR_V_242: $i] :
( ~ ( pred_attacker @ VAR_V_241 )
| ~ ( pred_attacker @ VAR_V_242 )
| ( pred_attacker @ ( constr_aenc @ VAR_V_241 @ VAR_V_242 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[278]) ).
thf(425,plain,
( ( ! [VAR_V_236: $i,VAR_V_237: $i] :
( ~ ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_236 @ VAR_V_237 ) )
| ( pred_attacker @ VAR_V_237 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[279]) ).
thf(426,plain,
( ( ! [VAR_V_233: $i] :
( ! [VAR_V_234: $i] :
~ ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_233 @ VAR_V_234 ) )
| ( pred_attacker @ VAR_V_233 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[280]) ).
thf(427,plain,
( ( ! [VAR_V_225: $i,VAR_V_226: $i] :
( ~ ( pred_attacker @ VAR_V_225 )
| ~ ( pred_attacker @ VAR_V_226 )
| ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_225 @ VAR_V_226 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[281]) ).
thf(428,plain,
( ( ! [VAR_V_222: $i] :
( ~ ( pred_attacker @ VAR_V_222 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ VAR_V_222 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[282]) ).
thf(429,plain,
( ( ! [VAR_V_220X30: $i] :
( ~ ( pred_attacker @ VAR_V_220X30 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ VAR_V_220X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[283]) ).
thf(430,plain,
( ( ! [VAR_V_218: $i] :
( ~ ( pred_attacker @ VAR_V_218 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ VAR_V_218 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[284]) ).
thf(431,plain,
( ( ! [VAR_V_216: $i] :
( ~ ( pred_attacker @ VAR_V_216 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ VAR_V_216 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[285]) ).
thf(432,plain,
( ( ! [VAR_V_213: $i,VAR_V_214: $i] :
( ~ ( pred_attacker @ VAR_V_213 )
| ~ ( pred_attacker @ VAR_V_214 )
| ( pred_attacker @ ( constr_checksign @ VAR_V_213 @ VAR_V_214 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[286]) ).
thf(433,plain,
( ( ! [VAR_V_20X309: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X309 ) )
| ( pred_attacker @ VAR_V_20X309 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[287]) ).
thf(434,plain,
( ( ! [VAR_V_20X306: $i] :
( ~ ( pred_attacker @ VAR_V_20X306 )
| ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X306 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[288]) ).
thf(435,plain,
( ( ! [VAR_V_20X303: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X303 ) )
| ( pred_attacker @ VAR_V_20X303 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[289]) ).
thf(436,plain,
( ( ! [VAR_V_20X300X30: $i] :
( ~ ( pred_attacker @ VAR_V_20X300X30 )
| ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X300X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[290]) ).
thf(437,plain,
( ( ! [VAR_V_196: $i,VAR_V_197: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_196 @ VAR_V_197 ) )
| ( pred_attacker @ VAR_V_197 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[291]) ).
thf(438,plain,
( ( ! [VAR_V_193: $i] :
( ! [VAR_V_194: $i] :
~ ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_193 @ VAR_V_194 ) )
| ( pred_attacker @ VAR_V_193 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[292]) ).
thf(439,plain,
( ( ! [VAR_V_185: $i,VAR_V_186: $i] :
( ~ ( pred_attacker @ VAR_V_185 )
| ~ ( pred_attacker @ VAR_V_186 )
| ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_185 @ VAR_V_186 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[293]) ).
thf(440,plain,
( ( ! [VAR_V_181: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_181 ) )
| ( pred_attacker @ VAR_V_181 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[294]) ).
thf(441,plain,
( ( ! [VAR_V_178: $i] :
( ~ ( pred_attacker @ VAR_V_178 )
| ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_178 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[295]) ).
thf(442,plain,
( ( ! [VAR_V_175: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_175 ) )
| ( pred_attacker @ VAR_V_175 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[296]) ).
thf(443,plain,
( ( ! [VAR_V_172: $i] :
( ~ ( pred_attacker @ VAR_V_172 )
| ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_172 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[297]) ).
thf(444,plain,
( ( ! [VAR_V_169: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_169 ) )
| ( pred_attacker @ VAR_V_169 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[298]) ).
thf(445,plain,
( ( ! [VAR_V_166: $i] :
( ~ ( pred_attacker @ VAR_V_166 )
| ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_166 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[299]) ).
thf(446,plain,
( ( ! [VAR_V_163: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_163 ) )
| ( pred_attacker @ VAR_V_163 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[300]) ).
thf(447,plain,
( ( ! [VAR_V_160X30: $i] :
( ~ ( pred_attacker @ VAR_V_160X30 )
| ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_160X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[301]) ).
thf(448,plain,
( ( ! [VAR_V_157: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_157 ) )
| ( pred_attacker @ VAR_V_157 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[302]) ).
thf(449,plain,
( ( ! [VAR_V_154: $i] :
( ~ ( pred_attacker @ VAR_V_154 )
| ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_154 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[303]) ).
thf(450,plain,
( ( ! [VAR_V_150X30: $i,VAR_V_151: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_150X30 @ VAR_V_151 ) )
| ( pred_attacker @ VAR_V_151 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[304]) ).
thf(451,plain,
( ( ! [VAR_V_147: $i] :
( ! [VAR_V_148: $i] :
~ ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_147 @ VAR_V_148 ) )
| ( pred_attacker @ VAR_V_147 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[305]) ).
thf(452,plain,
( ( ! [VAR_V_139: $i,VAR_V_140X30: $i] :
( ~ ( pred_attacker @ VAR_V_139 )
| ~ ( pred_attacker @ VAR_V_140X30 )
| ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_139 @ VAR_V_140X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[306]) ).
thf(453,plain,
( ( ! [VAR_V_135: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_135 ) )
| ( pred_attacker @ VAR_V_135 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[307]) ).
thf(454,plain,
( ( ! [VAR_V_132: $i] :
( ~ ( pred_attacker @ VAR_V_132 )
| ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_132 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[308]) ).
thf(455,plain,
( ( ! [VAR_V_129: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_129 ) )
| ( pred_attacker @ VAR_V_129 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[309]) ).
thf(456,plain,
( ( ! [VAR_V_126: $i] :
( ~ ( pred_attacker @ VAR_V_126 )
| ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_126 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[310]) ).
thf(457,plain,
( ( ! [VAR_V_123: $i,VAR_V_124: $i] :
( ~ ( pred_attacker @ VAR_V_123 )
| ~ ( pred_attacker @ VAR_V_124 )
| ( pred_attacker @ ( constr_dec @ VAR_V_123 @ VAR_V_124 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[311]) ).
thf(458,plain,
( ( ! [VAR_V_119: $i,VAR_V_120X30: $i] :
( ~ ( pred_attacker @ VAR_V_119 )
| ~ ( pred_attacker @ VAR_V_120X30 )
| ( pred_attacker @ ( constr_enc @ VAR_V_119 @ VAR_V_120X30 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[312]) ).
thf(459,plain,
( ( ! [VAR_V_116: $i] :
( ~ ( pred_attacker @ VAR_V_116 )
| ( pred_attacker @ ( constr_getmess @ VAR_V_116 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[314]) ).
thf(460,plain,
( ( ! [VAR_V_112: $i,VAR_V_113: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_112 @ VAR_V_113 ) )
| ( pred_attacker @ VAR_V_113 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[315]) ).
thf(461,plain,
( ( ! [VAR_V_10X309: $i] :
( ! [VAR_V_110X30: $i] :
~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X309 @ VAR_V_110X30 ) )
| ( pred_attacker @ VAR_V_10X309 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[316]) ).
thf(462,plain,
( ( ! [VAR_V_10X301: $i,VAR_V_10X302: $i] :
( ~ ( pred_attacker @ VAR_V_10X301 )
| ~ ( pred_attacker @ VAR_V_10X302 )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X301 @ VAR_V_10X302 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[317]) ).
thf(463,plain,
( ( ! [VAR_V_96: $i,VAR_V_97: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_96 @ VAR_V_97 ) )
| ( pred_attacker @ VAR_V_97 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[318]) ).
thf(464,plain,
( ( ! [VAR_V_93: $i] :
( ! [VAR_V_94: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_93 @ VAR_V_94 ) )
| ( pred_attacker @ VAR_V_93 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[319]) ).
thf(465,plain,
( ( ! [VAR_V_85: $i,VAR_V_86: $i] :
( ~ ( pred_attacker @ VAR_V_85 )
| ~ ( pred_attacker @ VAR_V_86 )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_85 @ VAR_V_86 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[320]) ).
thf(466,plain,
( ( ! [VAR_V_81: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_81 ) )
| ( pred_attacker @ VAR_V_81 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[321]) ).
thf(467,plain,
( ( ! [VAR_V_78: $i] :
( ~ ( pred_attacker @ VAR_V_78 )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_78 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[322]) ).
thf(468,plain,
( ( ! [VAR_V_74: $i] :
( ~ ( pred_attacker @ ( tuple_out_1 @ VAR_V_74 ) )
| ( pred_attacker @ VAR_V_74 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[323]) ).
thf(469,plain,
( ( ! [VAR_V_71: $i] :
( ~ ( pred_attacker @ VAR_V_71 )
| ( pred_attacker @ ( tuple_out_1 @ VAR_V_71 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[324]) ).
thf(470,plain,
( ( ! [VAR_V_68: $i] :
( ~ ( pred_attacker @ ( tuple_out_2 @ VAR_V_68 ) )
| ( pred_attacker @ VAR_V_68 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[325]) ).
thf(471,plain,
( ( ! [VAR_V_65: $i] :
( ~ ( pred_attacker @ VAR_V_65 )
| ( pred_attacker @ ( tuple_out_2 @ VAR_V_65 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[326]) ).
thf(472,plain,
( ( ! [VAR_V_62: $i] :
( ~ ( pred_attacker @ ( tuple_out_3 @ VAR_V_62 ) )
| ( pred_attacker @ VAR_V_62 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[327]) ).
thf(473,plain,
( ( ! [VAR_V_59: $i] :
( ~ ( pred_attacker @ VAR_V_59 )
| ( pred_attacker @ ( tuple_out_3 @ VAR_V_59 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[328]) ).
thf(474,plain,
( ( ! [VAR_V_57: $i] :
( ~ ( pred_attacker @ VAR_V_57 )
| ( pred_attacker @ ( constr_pkey @ VAR_V_57 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[329]) ).
thf(475,plain,
( ( ! [VAR_V_54: $i,VAR_V_55: $i] :
( ~ ( pred_attacker @ VAR_V_54 )
| ~ ( pred_attacker @ VAR_V_55 )
| ( pred_attacker @ ( constr_sign @ VAR_V_54 @ VAR_V_55 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[330]) ).
thf(476,plain,
( ( ! [VAR_V_51: $i] :
( ~ ( pred_attacker @ VAR_V_51 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_51 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[332]) ).
thf(477,plain,
( ( ! [VAR_V_49: $i] :
( ~ ( pred_attacker @ VAR_V_49 )
| ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_49 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[333]) ).
thf(478,plain,
( ( ( name_objective != name_skS ) )
= $true ),
inference(extcnf_combined,[status(esa)],[336]) ).
thf(479,plain,
( ( ( name_objective != name_skB ) )
= $true ),
inference(extcnf_combined,[status(esa)],[337]) ).
thf(480,plain,
( ( ( name_objective != name_skA ) )
= $true ),
inference(extcnf_combined,[status(esa)],[338]) ).
thf(481,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[339]) ).
thf(482,plain,
( ( ( name_I != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[340]) ).
thf(483,plain,
( ( ( name_B != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[341]) ).
thf(484,plain,
( ( ( name_A != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[342]) ).
thf(485,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[343]) ).
thf(486,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[344]) ).
thf(487,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[345]) ).
thf(488,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[346]) ).
thf(489,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(extcnf_combined,[status(esa)],[347]) ).
thf(490,plain,
( ( ( constr_CONST_0x30 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(491,plain,
( ( ( constr_CONST_1 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(492,plain,
( ( ( constr_CONST_2 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(493,plain,
( ( ( constr_CONST_3 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(494,plain,
( ( ( constr_CONST_4 != name_objective ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(495,plain,
( ( ( name_A != name_objective ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(496,plain,
( ( ( name_B != name_objective ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(497,plain,
( ( ( name_I != name_objective ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(498,plain,
( ( ( name_c != name_objective ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(499,plain,
( ( ( name_objective != name_skA ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(500,plain,
( ( ( name_objective != name_skB ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(501,plain,
( ( ( name_objective != name_skS ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(502,plain,
( ( ! [VAR_X0X30_7: $i,VAR_X1_8: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ VAR_X0X30_7 @ VAR_X1_8 ) )
= VAR_X1_8 ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(503,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)],[334]) ).
thf(504,plain,
( ( ! [VAR_V_49: $i] :
( ~ ( pred_attacker @ VAR_V_49 )
| ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ VAR_V_49 ) ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(505,plain,
( ( ! [VAR_V_51: $i] :
( ~ ( pred_attacker @ VAR_V_51 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30 @ VAR_V_51 ) ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(506,plain,
( ( pred_attacker @ tuple_true )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(507,plain,
( ( ! [VAR_V_54: $i,VAR_V_55: $i] :
( ~ ( pred_attacker @ VAR_V_54 )
| ~ ( pred_attacker @ VAR_V_55 )
| ( pred_attacker @ ( constr_sign @ VAR_V_54 @ VAR_V_55 ) ) ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(508,plain,
( ( ! [VAR_V_57: $i] :
( ~ ( pred_attacker @ VAR_V_57 )
| ( pred_attacker @ ( constr_pkey @ VAR_V_57 ) ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(509,plain,
( ( ! [VAR_V_59: $i] :
( ~ ( pred_attacker @ VAR_V_59 )
| ( pred_attacker @ ( tuple_out_3 @ VAR_V_59 ) ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(510,plain,
( ( ! [VAR_V_62: $i] :
( ~ ( pred_attacker @ ( tuple_out_3 @ VAR_V_62 ) )
| ( pred_attacker @ VAR_V_62 ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(511,plain,
( ( ! [VAR_V_65: $i] :
( ~ ( pred_attacker @ VAR_V_65 )
| ( pred_attacker @ ( tuple_out_2 @ VAR_V_65 ) ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(512,plain,
( ( ! [VAR_V_68: $i] :
( ~ ( pred_attacker @ ( tuple_out_2 @ VAR_V_68 ) )
| ( pred_attacker @ VAR_V_68 ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(513,plain,
( ( ! [VAR_V_71: $i] :
( ~ ( pred_attacker @ VAR_V_71 )
| ( pred_attacker @ ( tuple_out_1 @ VAR_V_71 ) ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(514,plain,
( ( ! [VAR_V_74: $i] :
( ~ ( pred_attacker @ ( tuple_out_1 @ VAR_V_74 ) )
| ( pred_attacker @ VAR_V_74 ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(515,plain,
( ( ! [VAR_V_78: $i] :
( ~ ( pred_attacker @ VAR_V_78 )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_78 ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(516,plain,
( ( ! [VAR_V_81: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ VAR_V_81 ) )
| ( pred_attacker @ VAR_V_81 ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(517,plain,
( ( ! [VAR_V_85: $i,VAR_V_86: $i] :
( ~ ( pred_attacker @ VAR_V_85 )
| ~ ( pred_attacker @ VAR_V_86 )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_85 @ VAR_V_86 ) ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(518,plain,
( ( ! [VAR_V_93: $i] :
( ! [VAR_V_94: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_93 @ VAR_V_94 ) )
| ( pred_attacker @ VAR_V_93 ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(519,plain,
( ( ! [VAR_V_96: $i,VAR_V_97: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ VAR_V_96 @ VAR_V_97 ) )
| ( pred_attacker @ VAR_V_97 ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(520,plain,
( ( ! [VAR_V_10X301: $i,VAR_V_10X302: $i] :
( ~ ( pred_attacker @ VAR_V_10X301 )
| ~ ( pred_attacker @ VAR_V_10X302 )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X301 @ VAR_V_10X302 ) ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(521,plain,
( ( ! [VAR_V_10X309: $i] :
( ! [VAR_V_110X30: $i] :
~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_10X309 @ VAR_V_110X30 ) )
| ( pred_attacker @ VAR_V_10X309 ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(522,plain,
( ( ! [VAR_V_112: $i,VAR_V_113: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ VAR_V_112 @ VAR_V_113 ) )
| ( pred_attacker @ VAR_V_113 ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(523,plain,
( ( ! [VAR_V_116: $i] :
( ~ ( pred_attacker @ VAR_V_116 )
| ( pred_attacker @ ( constr_getmess @ VAR_V_116 ) ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(524,plain,
( ( pred_attacker @ tuple_false )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(525,plain,
( ( ! [VAR_V_119: $i,VAR_V_120X30: $i] :
( ~ ( pred_attacker @ VAR_V_119 )
| ~ ( pred_attacker @ VAR_V_120X30 )
| ( pred_attacker @ ( constr_enc @ VAR_V_119 @ VAR_V_120X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(526,plain,
( ( ! [VAR_V_123: $i,VAR_V_124: $i] :
( ~ ( pred_attacker @ VAR_V_123 )
| ~ ( pred_attacker @ VAR_V_124 )
| ( pred_attacker @ ( constr_dec @ VAR_V_123 @ VAR_V_124 ) ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(527,plain,
( ( ! [VAR_V_126: $i] :
( ~ ( pred_attacker @ VAR_V_126 )
| ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_126 ) ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(528,plain,
( ( ! [VAR_V_129: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_129 ) )
| ( pred_attacker @ VAR_V_129 ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(529,plain,
( ( ! [VAR_V_132: $i] :
( ~ ( pred_attacker @ VAR_V_132 )
| ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_132 ) ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(530,plain,
( ( ! [VAR_V_135: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ VAR_V_135 ) )
| ( pred_attacker @ VAR_V_135 ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(531,plain,
( ( ! [VAR_V_139: $i,VAR_V_140X30: $i] :
( ~ ( pred_attacker @ VAR_V_139 )
| ~ ( pred_attacker @ VAR_V_140X30 )
| ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_139 @ VAR_V_140X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(532,plain,
( ( ! [VAR_V_147: $i] :
( ! [VAR_V_148: $i] :
~ ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_147 @ VAR_V_148 ) )
| ( pred_attacker @ VAR_V_147 ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(533,plain,
( ( ! [VAR_V_150X30: $i,VAR_V_151: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ VAR_V_150X30 @ VAR_V_151 ) )
| ( pred_attacker @ VAR_V_151 ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(534,plain,
( ( ! [VAR_V_154: $i] :
( ~ ( pred_attacker @ VAR_V_154 )
| ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_154 ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(535,plain,
( ( ! [VAR_V_157: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_157 ) )
| ( pred_attacker @ VAR_V_157 ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(536,plain,
( ( ! [VAR_V_160X30: $i] :
( ~ ( pred_attacker @ VAR_V_160X30 )
| ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_160X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(537,plain,
( ( ! [VAR_V_163: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_163 ) )
| ( pred_attacker @ VAR_V_163 ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(538,plain,
( ( ! [VAR_V_166: $i] :
( ~ ( pred_attacker @ VAR_V_166 )
| ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_166 ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(539,plain,
( ( ! [VAR_V_169: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_169 ) )
| ( pred_attacker @ VAR_V_169 ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(540,plain,
( ( ! [VAR_V_172: $i] :
( ~ ( pred_attacker @ VAR_V_172 )
| ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_172 ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(541,plain,
( ( ! [VAR_V_175: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ VAR_V_175 ) )
| ( pred_attacker @ VAR_V_175 ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(542,plain,
( ( ! [VAR_V_178: $i] :
( ~ ( pred_attacker @ VAR_V_178 )
| ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_178 ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(543,plain,
( ( ! [VAR_V_181: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ VAR_V_181 ) )
| ( pred_attacker @ VAR_V_181 ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(544,plain,
( ( ! [VAR_V_185: $i,VAR_V_186: $i] :
( ~ ( pred_attacker @ VAR_V_185 )
| ~ ( pred_attacker @ VAR_V_186 )
| ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_185 @ VAR_V_186 ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(545,plain,
( ( ! [VAR_V_193: $i] :
( ! [VAR_V_194: $i] :
~ ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_193 @ VAR_V_194 ) )
| ( pred_attacker @ VAR_V_193 ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(546,plain,
( ( ! [VAR_V_196: $i,VAR_V_197: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ VAR_V_196 @ VAR_V_197 ) )
| ( pred_attacker @ VAR_V_197 ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(547,plain,
( ( ! [VAR_V_20X300X30: $i] :
( ~ ( pred_attacker @ VAR_V_20X300X30 )
| ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X300X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(548,plain,
( ( ! [VAR_V_20X303: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_20X303 ) )
| ( pred_attacker @ VAR_V_20X303 ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(549,plain,
( ( ! [VAR_V_20X306: $i] :
( ~ ( pred_attacker @ VAR_V_20X306 )
| ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X306 ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(550,plain,
( ( ! [VAR_V_20X309: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_20X309 ) )
| ( pred_attacker @ VAR_V_20X309 ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(551,plain,
( ( ! [VAR_V_213: $i,VAR_V_214: $i] :
( ~ ( pred_attacker @ VAR_V_213 )
| ~ ( pred_attacker @ VAR_V_214 )
| ( pred_attacker @ ( constr_checksign @ VAR_V_213 @ VAR_V_214 ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(552,plain,
( ( ! [VAR_V_216: $i] :
( ~ ( pred_attacker @ VAR_V_216 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ VAR_V_216 ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(553,plain,
( ( ! [VAR_V_218: $i] :
( ~ ( pred_attacker @ VAR_V_218 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ VAR_V_218 ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(554,plain,
( ( ! [VAR_V_220X30: $i] :
( ~ ( pred_attacker @ VAR_V_220X30 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ VAR_V_220X30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(555,plain,
( ( ! [VAR_V_222: $i] :
( ~ ( pred_attacker @ VAR_V_222 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ VAR_V_222 ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(556,plain,
( ( ! [VAR_V_225: $i,VAR_V_226: $i] :
( ~ ( pred_attacker @ VAR_V_225 )
| ~ ( pred_attacker @ VAR_V_226 )
| ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_225 @ VAR_V_226 ) ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(557,plain,
( ( ! [VAR_V_233: $i] :
( ! [VAR_V_234: $i] :
~ ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_233 @ VAR_V_234 ) )
| ( pred_attacker @ VAR_V_233 ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(558,plain,
( ( ! [VAR_V_236: $i,VAR_V_237: $i] :
( ~ ( pred_attacker @ ( tuple_assoc_pair @ VAR_V_236 @ VAR_V_237 ) )
| ( pred_attacker @ VAR_V_237 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(559,plain,
( ( ! [VAR_V_241: $i,VAR_V_242: $i] :
( ~ ( pred_attacker @ VAR_V_241 )
| ~ ( pred_attacker @ VAR_V_242 )
| ( pred_attacker @ ( constr_aenc @ VAR_V_241 @ VAR_V_242 ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(560,plain,
( ( ! [VAR_V_245: $i,VAR_V_246: $i] :
( ~ ( pred_attacker @ VAR_V_245 )
| ~ ( pred_attacker @ VAR_V_246 )
| ( pred_attacker @ ( constr_adec @ VAR_V_245 @ VAR_V_246 ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(561,plain,
( ( pred_attacker @ constr_CONST_4 )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(562,plain,
( ( pred_attacker @ constr_CONST_3 )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(563,plain,
( ( pred_attacker @ constr_CONST_2 )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(564,plain,
( ( pred_attacker @ constr_CONST_1 )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(565,plain,
( ( pred_attacker @ constr_CONST_0x30 )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(566,plain,
( ( ! [VAR_V_253: $i,VAR_V_254: $i] :
( ~ ( pred_attacker @ VAR_V_253 )
| ~ ( pred_attacker @ VAR_V_254 )
| ( pred_attacker @ ( tuple_2 @ VAR_V_253 @ VAR_V_254 ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(567,plain,
( ( ! [VAR_V_261: $i] :
( ! [VAR_V_262: $i] :
~ ( pred_attacker @ ( tuple_2 @ VAR_V_261 @ VAR_V_262 ) )
| ( pred_attacker @ VAR_V_261 ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(568,plain,
( ( ! [VAR_V_264: $i,VAR_V_265: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ VAR_V_264 @ VAR_V_265 ) )
| ( pred_attacker @ VAR_V_265 ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(569,plain,
( ( ! [VAR_V_267: $i] :
( ! [VAR_V_268: $i] :
( ~ ( pred_attacker @ VAR_V_268 )
| ~ ( pred_mess @ VAR_V_268 @ VAR_V_267 ) )
| ( pred_attacker @ VAR_V_267 ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(570,plain,
( ( ! [VAR_V_269: $i,VAR_V_270X30: $i] :
( ~ ( pred_attacker @ VAR_V_270X30 )
| ~ ( pred_attacker @ VAR_V_269 )
| ( pred_mess @ VAR_V_270X30 @ VAR_V_269 ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(571,plain,
( ( pred_attacker @ name_c )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(572,plain,
( ( pred_attacker @ name_I )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(573,plain,
( ( pred_attacker @ name_B )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(574,plain,
( ( pred_attacker @ name_A )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(575,plain,
( ( ! [VAR_V_273: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_273 ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(576,plain,
( ( ( constr_CONST_0x30 != constr_CONST_1 ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(577,plain,
( ( ( constr_CONST_0x30 != constr_CONST_2 ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(578,plain,
( ( ( constr_CONST_0x30 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(579,plain,
( ( ( constr_CONST_0x30 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(580,plain,
( ( ( constr_CONST_0x30 != name_A ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(581,plain,
( ( ( constr_CONST_0x30 != name_B ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(582,plain,
( ( ( constr_CONST_0x30 != name_I ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(583,plain,
( ( ( constr_CONST_0x30 != name_c ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(584,plain,
( ( ( constr_CONST_0x30 != name_skA ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(585,plain,
( ( ( constr_CONST_0x30 != name_skB ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(586,plain,
( ( ( constr_CONST_0x30 != name_skS ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(587,plain,
( ( ( constr_CONST_1 != constr_CONST_2 ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(588,plain,
( ( ( constr_CONST_1 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(589,plain,
( ( ( constr_CONST_1 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(590,plain,
( ( ( constr_CONST_1 != name_A ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(591,plain,
( ( ( constr_CONST_1 != name_B ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(592,plain,
( ( ( constr_CONST_1 != name_I ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(593,plain,
( ( ( constr_CONST_1 != name_c ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(594,plain,
( ( ( constr_CONST_1 != name_skA ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(595,plain,
( ( ( constr_CONST_1 != name_skB ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(596,plain,
( ( ( constr_CONST_1 != name_skS ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(597,plain,
( ( ( constr_CONST_2 != constr_CONST_3 ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(598,plain,
( ( ( constr_CONST_2 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(599,plain,
( ( ( constr_CONST_2 != name_A ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(600,plain,
( ( ( constr_CONST_2 != name_B ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(601,plain,
( ( ( constr_CONST_2 != name_I ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(602,plain,
( ( ( constr_CONST_2 != name_c ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(603,plain,
( ( ( constr_CONST_2 != name_skA ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(604,plain,
( ( ( constr_CONST_2 != name_skB ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(605,plain,
( ( ( constr_CONST_2 != name_skS ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(606,plain,
( ( ( constr_CONST_3 != constr_CONST_4 ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(607,plain,
( ( ( constr_CONST_3 != name_A ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(608,plain,
( ( ( constr_CONST_3 != name_B ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(609,plain,
( ( ( constr_CONST_3 != name_I ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(610,plain,
( ( ( constr_CONST_3 != name_c ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(611,plain,
( ( ( constr_CONST_3 != name_skA ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(612,plain,
( ( ( constr_CONST_3 != name_skB ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(613,plain,
( ( ( constr_CONST_3 != name_skS ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(614,plain,
( ( ( constr_CONST_4 != name_A ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(615,plain,
( ( ( constr_CONST_4 != name_B ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(616,plain,
( ( ( constr_CONST_4 != name_I ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(617,plain,
( ( ( constr_CONST_4 != name_c ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(618,plain,
( ( ( constr_CONST_4 != name_skA ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(619,plain,
( ( ( constr_CONST_4 != name_skB ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(620,plain,
( ( ( constr_CONST_4 != name_skS ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(621,plain,
( ( ( name_A != name_B ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(622,plain,
( ( ( name_A != name_I ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(623,plain,
( ( ( name_A != name_c ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(624,plain,
( ( ( name_A != name_skA ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(625,plain,
( ( ( name_A != name_skB ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(626,plain,
( ( ( name_A != name_skS ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(627,plain,
( ( ( name_B != name_I ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(628,plain,
( ( ( name_B != name_c ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(629,plain,
( ( ( name_B != name_skA ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(630,plain,
( ( ( name_B != name_skB ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(631,plain,
( ( ( name_B != name_skS ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(632,plain,
( ( ( name_I != name_c ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(633,plain,
( ( ( name_I != name_skA ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(634,plain,
( ( ( name_I != name_skB ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(635,plain,
( ( ( name_I != name_skS ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(636,plain,
( ( ( name_c != name_skA ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(637,plain,
( ( ( name_c != name_skB ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(638,plain,
( ( ( name_c != name_skS ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(639,plain,
( ( ( name_skA != name_skB ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(640,plain,
( ( ( name_skA != name_skS ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(641,plain,
( ( ( name_skB != name_skS ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(642,plain,
( ( ! [VAR_K_24: $i,VAR_M_23: $i] :
( ( constr_adec @ ( constr_aenc @ VAR_M_23 @ ( constr_pkey @ VAR_K_24 ) ) @ VAR_K_24 )
= VAR_M_23 ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(643,plain,
( ( ! [VAR_K_22: $i,VAR_M_21: $i] :
( ( constr_dec @ ( constr_enc @ VAR_M_21 @ VAR_K_22 ) @ VAR_K_22 )
= VAR_M_21 ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(644,plain,
( ( ! [VAR_K_20X30: $i,VAR_M_19: $i] :
( ( constr_getmess @ ( constr_sign @ VAR_M_19 @ VAR_K_20X30 ) )
= VAR_M_19 ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(645,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)],[192]) ).
thf(646,plain,
( ( ! [VAR_X_17: $i,VAR_Y_18: $i,VAR_Z_0X30: $i] :
( ( tuple_assoc_pair @ VAR_X_17 @ ( tuple_assoc_pair @ VAR_Y_18 @ VAR_Z_0X30 ) )
= ( tuple_assoc_pair @ ( tuple_assoc_pair @ VAR_X_17 @ VAR_Y_18 ) @ VAR_Z_0X30 ) ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(647,plain,
( ( ! [VAR_X0X30_15: $i,VAR_X1_16: $i] :
( ( constr_assoc_pair_2_get_1_bitstring @ ( tuple_assoc_pair @ VAR_X0X30_15 @ VAR_X1_16 ) )
= VAR_X1_16 ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(648,plain,
( ( ! [VAR_X0X30_13: $i,VAR_X1_14: $i] :
( ( constr_assoc_pair_2_get_0x30_bitstring @ ( tuple_assoc_pair @ VAR_X0X30_13 @ VAR_X1_14 ) )
= VAR_X0X30_13 ) )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(649,plain,
( ( ! [VAR_X0X30_11: $i,VAR_X1_12: $i] :
( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ VAR_X0X30_11 @ VAR_X1_12 ) )
= VAR_X1_12 ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(650,plain,
( ( ! [VAR_X0X30_9: $i,VAR_X1_10X30: $i] :
( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ VAR_X0X30_9 @ VAR_X1_10X30 ) )
= VAR_X0X30_9 ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(651,plain,
( ( pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(652,plain,
( ( pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(653,plain,
( ( pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(654,plain,
( ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(655,plain,
( ( pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(656,plain,
( ( ! [VAR_0X40SID_582: $i,VAR_AENC_NA_A_580X30: $i,VAR_SIGN_A_PKA_581: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_580X30 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_580X30 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_581 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_581 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ VAR_AENC_NA_A_580X30 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ VAR_0X40SID_582 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ VAR_SIGN_A_PKA_581 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(657,plain,
( ( ! [VAR_0X40SID_60X306: $i,VAR_AENC_NA_A_60X308: $i] :
( ! [VAR_AENC_NB_60X307: $i,VAR_SIGN_A_PKA_60X309: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_AENC_NB_60X307 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_60X306 ) @ ( constr_adec @ VAR_AENC_NB_60X307 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ VAR_AENC_NA_A_60X308 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_AENC_NA_A_60X308 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_60X309 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_60X309 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(658,plain,
( ( ~ ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sK1_VAR_V_711 ) @ name_objective ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(659,plain,
( ( constr_CONST_0x30 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(660,plain,
( ( constr_CONST_1 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(661,plain,
( ( constr_CONST_2 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(662,plain,
( ( constr_CONST_3 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(663,plain,
( ( constr_CONST_4 = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(664,plain,
( ( name_A = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(665,plain,
( ( name_B = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(666,plain,
( ( name_I = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(667,plain,
( ( name_c = name_objective )
= $false ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(668,plain,
( ( name_objective = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(669,plain,
( ( name_objective = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(670,plain,
( ( name_objective = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(671,plain,
! [SV1: $i] :
( ( ! [SY118: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ SV1 @ SY118 ) )
= SY118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(672,plain,
! [SV2: $i] :
( ( ! [SY119: $i] :
( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ SV2 @ SY119 ) )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(673,plain,
! [SV3: $i] :
( ( ~ ( pred_attacker @ SV3 )
| ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(674,plain,
! [SV4: $i] :
( ( ~ ( pred_attacker @ SV4 )
| ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(675,plain,
! [SV5: $i] :
( ( ! [SY120: $i] :
( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SY120 )
| ( pred_attacker @ ( constr_sign @ SV5 @ SY120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(676,plain,
! [SV6: $i] :
( ( ~ ( pred_attacker @ SV6 )
| ( pred_attacker @ ( constr_pkey @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(677,plain,
! [SV7: $i] :
( ( ~ ( pred_attacker @ SV7 )
| ( pred_attacker @ ( tuple_out_3 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(678,plain,
! [SV8: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_3 @ SV8 ) )
| ( pred_attacker @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(679,plain,
! [SV9: $i] :
( ( ~ ( pred_attacker @ SV9 )
| ( pred_attacker @ ( tuple_out_2 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(680,plain,
! [SV10: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_2 @ SV10 ) )
| ( pred_attacker @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(681,plain,
! [SV11: $i] :
( ( ~ ( pred_attacker @ SV11 )
| ( pred_attacker @ ( tuple_out_1 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(682,plain,
! [SV12: $i] :
( ( ~ ( pred_attacker @ ( tuple_out_1 @ SV12 ) )
| ( pred_attacker @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(683,plain,
! [SV13: $i] :
( ( ~ ( pred_attacker @ SV13 )
| ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(684,plain,
! [SV14: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV14 ) )
| ( pred_attacker @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(685,plain,
! [SV15: $i] :
( ( ! [SY121: $i] :
( ~ ( pred_attacker @ SV15 )
| ~ ( pred_attacker @ SY121 )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV15 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(686,plain,
! [SV16: $i] :
( ( ! [SY122: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV16 @ SY122 ) )
| ( pred_attacker @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(687,plain,
! [SV17: $i] :
( ( ! [SY123: $i] :
( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV17 @ SY123 ) )
| ( pred_attacker @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(688,plain,
! [SV18: $i] :
( ( ! [SY124: $i] :
( ~ ( pred_attacker @ SV18 )
| ~ ( pred_attacker @ SY124 )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV18 @ SY124 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(689,plain,
! [SV19: $i] :
( ( ! [SY125: $i] :
~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV19 @ SY125 ) )
| ( pred_attacker @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(690,plain,
! [SV20: $i] :
( ( ! [SY126: $i] :
( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV20 @ SY126 ) )
| ( pred_attacker @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(691,plain,
! [SV21: $i] :
( ( ~ ( pred_attacker @ SV21 )
| ( pred_attacker @ ( constr_getmess @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(692,plain,
! [SV22: $i] :
( ( ! [SY127: $i] :
( ~ ( pred_attacker @ SV22 )
| ~ ( pred_attacker @ SY127 )
| ( pred_attacker @ ( constr_enc @ SV22 @ SY127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(693,plain,
! [SV23: $i] :
( ( ! [SY128: $i] :
( ~ ( pred_attacker @ SV23 )
| ~ ( pred_attacker @ SY128 )
| ( pred_attacker @ ( constr_dec @ SV23 @ SY128 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(694,plain,
! [SV24: $i] :
( ( ~ ( pred_attacker @ SV24 )
| ( pred_attacker @ ( tuple_client_B_out_6 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(695,plain,
! [SV25: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ SV25 ) )
| ( pred_attacker @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(696,plain,
! [SV26: $i] :
( ( ~ ( pred_attacker @ SV26 )
| ( pred_attacker @ ( tuple_client_B_out_4 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(697,plain,
! [SV27: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ SV27 ) )
| ( pred_attacker @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(698,plain,
! [SV28: $i] :
( ( ! [SY129: $i] :
( ~ ( pred_attacker @ SV28 )
| ~ ( pred_attacker @ SY129 )
| ( pred_attacker @ ( tuple_client_B_out_1 @ SV28 @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(699,plain,
! [SV29: $i] :
( ( ! [SY130: $i] :
~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV29 @ SY130 ) )
| ( pred_attacker @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(700,plain,
! [SV30: $i] :
( ( ! [SY131: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV30 @ SY131 ) )
| ( pred_attacker @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(701,plain,
! [SV31: $i] :
( ( ~ ( pred_attacker @ SV31 )
| ( pred_attacker @ ( tuple_client_B_in_5 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(702,plain,
! [SV32: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV32 ) )
| ( pred_attacker @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(703,plain,
! [SV33: $i] :
( ( ~ ( pred_attacker @ SV33 )
| ( pred_attacker @ ( tuple_client_B_in_3 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(704,plain,
! [SV34: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV34 ) )
| ( pred_attacker @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(705,plain,
! [SV35: $i] :
( ( ~ ( pred_attacker @ SV35 )
| ( pred_attacker @ ( tuple_client_B_in_2 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(706,plain,
! [SV36: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV36 ) )
| ( pred_attacker @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(707,plain,
! [SV37: $i] :
( ( ~ ( pred_attacker @ SV37 )
| ( pred_attacker @ ( tuple_client_A_out_5 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(708,plain,
! [SV38: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ SV38 ) )
| ( pred_attacker @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(709,plain,
! [SV39: $i] :
( ( ~ ( pred_attacker @ SV39 )
| ( pred_attacker @ ( tuple_client_A_out_3 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(710,plain,
! [SV40: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ SV40 ) )
| ( pred_attacker @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(711,plain,
! [SV41: $i] :
( ( ! [SY132: $i] :
( ~ ( pred_attacker @ SV41 )
| ~ ( pred_attacker @ SY132 )
| ( pred_attacker @ ( tuple_client_A_out_1 @ SV41 @ SY132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(712,plain,
! [SV42: $i] :
( ( ! [SY133: $i] :
~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV42 @ SY133 ) )
| ( pred_attacker @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(713,plain,
! [SV43: $i] :
( ( ! [SY134: $i] :
( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV43 @ SY134 ) )
| ( pred_attacker @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(714,plain,
! [SV44: $i] :
( ( ~ ( pred_attacker @ SV44 )
| ( pred_attacker @ ( tuple_client_A_in_4 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(715,plain,
! [SV45: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV45 ) )
| ( pred_attacker @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(716,plain,
! [SV46: $i] :
( ( ~ ( pred_attacker @ SV46 )
| ( pred_attacker @ ( tuple_client_A_in_2 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(717,plain,
! [SV47: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV47 ) )
| ( pred_attacker @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(718,plain,
! [SV48: $i] :
( ( ! [SY135: $i] :
( ~ ( pred_attacker @ SV48 )
| ~ ( pred_attacker @ SY135 )
| ( pred_attacker @ ( constr_checksign @ SV48 @ SY135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(719,plain,
! [SV49: $i] :
( ( ~ ( pred_attacker @ SV49 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(720,plain,
! [SV50: $i] :
( ( ~ ( pred_attacker @ SV50 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(721,plain,
! [SV51: $i] :
( ( ~ ( pred_attacker @ SV51 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(722,plain,
! [SV52: $i] :
( ( ~ ( pred_attacker @ SV52 )
| ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(723,plain,
! [SV53: $i] :
( ( ! [SY136: $i] :
( ~ ( pred_attacker @ SV53 )
| ~ ( pred_attacker @ SY136 )
| ( pred_attacker @ ( tuple_assoc_pair @ SV53 @ SY136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(724,plain,
! [SV54: $i] :
( ( ! [SY137: $i] :
~ ( pred_attacker @ ( tuple_assoc_pair @ SV54 @ SY137 ) )
| ( pred_attacker @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(725,plain,
! [SV55: $i] :
( ( ! [SY138: $i] :
( ~ ( pred_attacker @ ( tuple_assoc_pair @ SV55 @ SY138 ) )
| ( pred_attacker @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(726,plain,
! [SV56: $i] :
( ( ! [SY139: $i] :
( ~ ( pred_attacker @ SV56 )
| ~ ( pred_attacker @ SY139 )
| ( pred_attacker @ ( constr_aenc @ SV56 @ SY139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(727,plain,
! [SV57: $i] :
( ( ! [SY140: $i] :
( ~ ( pred_attacker @ SV57 )
| ~ ( pred_attacker @ SY140 )
| ( pred_attacker @ ( constr_adec @ SV57 @ SY140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(728,plain,
! [SV58: $i] :
( ( ! [SY141: $i] :
( ~ ( pred_attacker @ SV58 )
| ~ ( pred_attacker @ SY141 )
| ( pred_attacker @ ( tuple_2 @ SV58 @ SY141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(729,plain,
! [SV59: $i] :
( ( ! [SY142: $i] :
~ ( pred_attacker @ ( tuple_2 @ SV59 @ SY142 ) )
| ( pred_attacker @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(730,plain,
! [SV60: $i] :
( ( ! [SY143: $i] :
( ~ ( pred_attacker @ ( tuple_2 @ SV60 @ SY143 ) )
| ( pred_attacker @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(731,plain,
! [SV61: $i] :
( ( ! [SY144: $i] :
( ~ ( pred_attacker @ SY144 )
| ~ ( pred_mess @ SY144 @ SV61 ) )
| ( pred_attacker @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(732,plain,
! [SV62: $i] :
( ( ! [SY145: $i] :
( ~ ( pred_attacker @ SY145 )
| ~ ( pred_attacker @ SV62 )
| ( pred_mess @ SY145 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(733,plain,
! [SV63: $i] :
( ( pred_attacker @ ( name_new0x2Dname @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(734,plain,
( ( constr_CONST_0x30 = constr_CONST_1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(735,plain,
( ( constr_CONST_0x30 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(736,plain,
( ( constr_CONST_0x30 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(737,plain,
( ( constr_CONST_0x30 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(738,plain,
( ( constr_CONST_0x30 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(739,plain,
( ( constr_CONST_0x30 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(740,plain,
( ( constr_CONST_0x30 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(741,plain,
( ( constr_CONST_0x30 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(742,plain,
( ( constr_CONST_0x30 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(743,plain,
( ( constr_CONST_0x30 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(744,plain,
( ( constr_CONST_0x30 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(745,plain,
( ( constr_CONST_1 = constr_CONST_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(746,plain,
( ( constr_CONST_1 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(747,plain,
( ( constr_CONST_1 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(748,plain,
( ( constr_CONST_1 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(749,plain,
( ( constr_CONST_1 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(750,plain,
( ( constr_CONST_1 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(751,plain,
( ( constr_CONST_1 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(752,plain,
( ( constr_CONST_1 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(753,plain,
( ( constr_CONST_1 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(754,plain,
( ( constr_CONST_1 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(755,plain,
( ( constr_CONST_2 = constr_CONST_3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(756,plain,
( ( constr_CONST_2 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(757,plain,
( ( constr_CONST_2 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(758,plain,
( ( constr_CONST_2 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(759,plain,
( ( constr_CONST_2 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(760,plain,
( ( constr_CONST_2 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(761,plain,
( ( constr_CONST_2 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(762,plain,
( ( constr_CONST_2 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(763,plain,
( ( constr_CONST_2 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(764,plain,
( ( constr_CONST_3 = constr_CONST_4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(765,plain,
( ( constr_CONST_3 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(766,plain,
( ( constr_CONST_3 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(767,plain,
( ( constr_CONST_3 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(768,plain,
( ( constr_CONST_3 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(769,plain,
( ( constr_CONST_3 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(770,plain,
( ( constr_CONST_3 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(771,plain,
( ( constr_CONST_3 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(772,plain,
( ( constr_CONST_4 = name_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(773,plain,
( ( constr_CONST_4 = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(774,plain,
( ( constr_CONST_4 = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(775,plain,
( ( constr_CONST_4 = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(776,plain,
( ( constr_CONST_4 = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(777,plain,
( ( constr_CONST_4 = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(778,plain,
( ( constr_CONST_4 = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(779,plain,
( ( name_A = name_B )
= $false ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(780,plain,
( ( name_A = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(781,plain,
( ( name_A = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(782,plain,
( ( name_A = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(783,plain,
( ( name_A = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(784,plain,
( ( name_A = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(785,plain,
( ( name_B = name_I )
= $false ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(786,plain,
( ( name_B = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(787,plain,
( ( name_B = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(788,plain,
( ( name_B = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(789,plain,
( ( name_B = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(790,plain,
( ( name_I = name_c )
= $false ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(791,plain,
( ( name_I = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(792,plain,
( ( name_I = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(793,plain,
( ( name_I = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(794,plain,
( ( name_c = name_skA )
= $false ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(795,plain,
( ( name_c = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(796,plain,
( ( name_c = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(797,plain,
( ( name_skA = name_skB )
= $false ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(798,plain,
( ( name_skA = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(799,plain,
( ( name_skB = name_skS )
= $false ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(800,plain,
! [SV64: $i] :
( ( ! [SY146: $i] :
( ( constr_adec @ ( constr_aenc @ SY146 @ ( constr_pkey @ SV64 ) ) @ SV64 )
= SY146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(801,plain,
! [SV65: $i] :
( ( ! [SY147: $i] :
( ( constr_dec @ ( constr_enc @ SY147 @ SV65 ) @ SV65 )
= SY147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(802,plain,
! [SV66: $i] :
( ( ! [SY148: $i] :
( ( constr_getmess @ ( constr_sign @ SY148 @ SV66 ) )
= SY148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(803,plain,
! [SV67: $i] :
( ( ! [SY149: $i] :
( ( constr_checksign @ ( constr_sign @ SY149 @ SV67 ) @ ( constr_pkey @ SV67 ) )
= SY149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(804,plain,
! [SV68: $i] :
( ( ! [SY150: $i,SY151: $i] :
( ( tuple_assoc_pair @ SV68 @ ( tuple_assoc_pair @ SY150 @ SY151 ) )
= ( tuple_assoc_pair @ ( tuple_assoc_pair @ SV68 @ SY150 ) @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(805,plain,
! [SV69: $i] :
( ( ! [SY152: $i] :
( ( constr_assoc_pair_2_get_1_bitstring @ ( tuple_assoc_pair @ SV69 @ SY152 ) )
= SY152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(806,plain,
! [SV70: $i] :
( ( ! [SY153: $i] :
( ( constr_assoc_pair_2_get_0x30_bitstring @ ( tuple_assoc_pair @ SV70 @ SY153 ) )
= SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(807,plain,
! [SV71: $i] :
( ( ! [SY154: $i] :
( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ SV71 @ SY154 ) )
= SY154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(808,plain,
! [SV72: $i] :
( ( ! [SY155: $i] :
( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ SV72 @ SY155 ) )
= SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(809,plain,
! [SV73: $i] :
( ( ! [SY156: $i,SY157: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SY156 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SY156 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY157 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY157 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SY156 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY157 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(810,plain,
! [SV74: $i] :
( ( ! [SY158: $i] :
( ! [SY159: $i,SY160: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SY159 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SY159 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SY158 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SY158 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY160 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY160 ) ) )
| ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(811,plain,
( ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sK1_VAR_V_711 ) @ name_objective ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(812,plain,
! [SV75: $i,SV1: $i] :
( ( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ SV1 @ SV75 ) )
= SV75 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(813,plain,
! [SV76: $i,SV2: $i] :
( ( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ SV2 @ SV76 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(814,plain,
! [SV3: $i] :
( ( ( ~ ( pred_attacker @ SV3 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(815,plain,
! [SV4: $i] :
( ( ( ~ ( pred_attacker @ SV4 ) )
= $true )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(816,plain,
! [SV77: $i,SV5: $i] :
( ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV77 )
| ( pred_attacker @ ( constr_sign @ SV5 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(817,plain,
! [SV6: $i] :
( ( ( ~ ( pred_attacker @ SV6 ) )
= $true )
| ( ( pred_attacker @ ( constr_pkey @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(818,plain,
! [SV7: $i] :
( ( ( ~ ( pred_attacker @ SV7 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_3 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(819,plain,
! [SV8: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_3 @ SV8 ) ) )
= $true )
| ( ( pred_attacker @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(820,plain,
! [SV9: $i] :
( ( ( ~ ( pred_attacker @ SV9 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_2 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(821,plain,
! [SV10: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_2 @ SV10 ) ) )
= $true )
| ( ( pred_attacker @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(822,plain,
! [SV11: $i] :
( ( ( ~ ( pred_attacker @ SV11 ) )
= $true )
| ( ( pred_attacker @ ( tuple_out_1 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(823,plain,
! [SV12: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_out_1 @ SV12 ) ) )
= $true )
| ( ( pred_attacker @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(824,plain,
! [SV13: $i] :
( ( ( ~ ( pred_attacker @ SV13 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(825,plain,
! [SV14: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV14 ) ) )
= $true )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(826,plain,
! [SV78: $i,SV15: $i] :
( ( ~ ( pred_attacker @ SV15 )
| ~ ( pred_attacker @ SV78 )
| ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV15 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(827,plain,
! [SV16: $i] :
( ( ( ! [SY122: $i] :
~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV16 @ SY122 ) ) )
= $true )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(828,plain,
! [SV79: $i,SV17: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV17 @ SV79 ) )
| ( pred_attacker @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(829,plain,
! [SV80: $i,SV18: $i] :
( ( ~ ( pred_attacker @ SV18 )
| ~ ( pred_attacker @ SV80 )
| ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV18 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(830,plain,
! [SV19: $i] :
( ( ( ! [SY125: $i] :
~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV19 @ SY125 ) ) )
= $true )
| ( ( pred_attacker @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(831,plain,
! [SV81: $i,SV20: $i] :
( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV20 @ SV81 ) )
| ( pred_attacker @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(832,plain,
! [SV21: $i] :
( ( ( ~ ( pred_attacker @ SV21 ) )
= $true )
| ( ( pred_attacker @ ( constr_getmess @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[691]) ).
thf(833,plain,
! [SV82: $i,SV22: $i] :
( ( ~ ( pred_attacker @ SV22 )
| ~ ( pred_attacker @ SV82 )
| ( pred_attacker @ ( constr_enc @ SV22 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(834,plain,
! [SV83: $i,SV23: $i] :
( ( ~ ( pred_attacker @ SV23 )
| ~ ( pred_attacker @ SV83 )
| ( pred_attacker @ ( constr_dec @ SV23 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(835,plain,
! [SV24: $i] :
( ( ( ~ ( pred_attacker @ SV24 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(836,plain,
! [SV25: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_6 @ SV25 ) ) )
= $true )
| ( ( pred_attacker @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(837,plain,
! [SV26: $i] :
( ( ( ~ ( pred_attacker @ SV26 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(838,plain,
! [SV27: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_4 @ SV27 ) ) )
= $true )
| ( ( pred_attacker @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(839,plain,
! [SV84: $i,SV28: $i] :
( ( ~ ( pred_attacker @ SV28 )
| ~ ( pred_attacker @ SV84 )
| ( pred_attacker @ ( tuple_client_B_out_1 @ SV28 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(840,plain,
! [SV29: $i] :
( ( ( ! [SY130: $i] :
~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV29 @ SY130 ) ) )
= $true )
| ( ( pred_attacker @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(841,plain,
! [SV85: $i,SV30: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV30 @ SV85 ) )
| ( pred_attacker @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(842,plain,
! [SV31: $i] :
( ( ( ~ ( pred_attacker @ SV31 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(843,plain,
! [SV32: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV32 ) ) )
= $true )
| ( ( pred_attacker @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(844,plain,
! [SV33: $i] :
( ( ( ~ ( pred_attacker @ SV33 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(845,plain,
! [SV34: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV34 ) ) )
= $true )
| ( ( pred_attacker @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(846,plain,
! [SV35: $i] :
( ( ( ~ ( pred_attacker @ SV35 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(847,plain,
! [SV36: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV36 ) ) )
= $true )
| ( ( pred_attacker @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(848,plain,
! [SV37: $i] :
( ( ( ~ ( pred_attacker @ SV37 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(849,plain,
! [SV38: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_5 @ SV38 ) ) )
= $true )
| ( ( pred_attacker @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(850,plain,
! [SV39: $i] :
( ( ( ~ ( pred_attacker @ SV39 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(851,plain,
! [SV40: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_3 @ SV40 ) ) )
= $true )
| ( ( pred_attacker @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(852,plain,
! [SV86: $i,SV41: $i] :
( ( ~ ( pred_attacker @ SV41 )
| ~ ( pred_attacker @ SV86 )
| ( pred_attacker @ ( tuple_client_A_out_1 @ SV41 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(853,plain,
! [SV42: $i] :
( ( ( ! [SY133: $i] :
~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV42 @ SY133 ) ) )
= $true )
| ( ( pred_attacker @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(854,plain,
! [SV87: $i,SV43: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV43 @ SV87 ) )
| ( pred_attacker @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(855,plain,
! [SV44: $i] :
( ( ( ~ ( pred_attacker @ SV44 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(856,plain,
! [SV45: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ SV45 ) ) )
= $true )
| ( ( pred_attacker @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(857,plain,
! [SV46: $i] :
( ( ( ~ ( pred_attacker @ SV46 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(858,plain,
! [SV47: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_in_2 @ SV47 ) ) )
= $true )
| ( ( pred_attacker @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(859,plain,
! [SV88: $i,SV48: $i] :
( ( ~ ( pred_attacker @ SV48 )
| ~ ( pred_attacker @ SV88 )
| ( pred_attacker @ ( constr_checksign @ SV48 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(860,plain,
! [SV49: $i] :
( ( ( ~ ( pred_attacker @ SV49 ) )
= $true )
| ( ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(861,plain,
! [SV50: $i] :
( ( ( ~ ( pred_attacker @ SV50 ) )
= $true )
| ( ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(862,plain,
! [SV51: $i] :
( ( ( ~ ( pred_attacker @ SV51 ) )
= $true )
| ( ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(863,plain,
! [SV52: $i] :
( ( ( ~ ( pred_attacker @ SV52 ) )
= $true )
| ( ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(864,plain,
! [SV89: $i,SV53: $i] :
( ( ~ ( pred_attacker @ SV53 )
| ~ ( pred_attacker @ SV89 )
| ( pred_attacker @ ( tuple_assoc_pair @ SV53 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(865,plain,
! [SV54: $i] :
( ( ( ! [SY137: $i] :
~ ( pred_attacker @ ( tuple_assoc_pair @ SV54 @ SY137 ) ) )
= $true )
| ( ( pred_attacker @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(866,plain,
! [SV90: $i,SV55: $i] :
( ( ~ ( pred_attacker @ ( tuple_assoc_pair @ SV55 @ SV90 ) )
| ( pred_attacker @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(867,plain,
! [SV91: $i,SV56: $i] :
( ( ~ ( pred_attacker @ SV56 )
| ~ ( pred_attacker @ SV91 )
| ( pred_attacker @ ( constr_aenc @ SV56 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(868,plain,
! [SV92: $i,SV57: $i] :
( ( ~ ( pred_attacker @ SV57 )
| ~ ( pred_attacker @ SV92 )
| ( pred_attacker @ ( constr_adec @ SV57 @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(869,plain,
! [SV93: $i,SV58: $i] :
( ( ~ ( pred_attacker @ SV58 )
| ~ ( pred_attacker @ SV93 )
| ( pred_attacker @ ( tuple_2 @ SV58 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(870,plain,
! [SV59: $i] :
( ( ( ! [SY142: $i] :
~ ( pred_attacker @ ( tuple_2 @ SV59 @ SY142 ) ) )
= $true )
| ( ( pred_attacker @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(871,plain,
! [SV94: $i,SV60: $i] :
( ( ~ ( pred_attacker @ ( tuple_2 @ SV60 @ SV94 ) )
| ( pred_attacker @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(872,plain,
! [SV61: $i] :
( ( ( ! [SY144: $i] :
( ~ ( pred_attacker @ SY144 )
| ~ ( pred_mess @ SY144 @ SV61 ) ) )
= $true )
| ( ( pred_attacker @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(873,plain,
! [SV62: $i,SV95: $i] :
( ( ~ ( pred_attacker @ SV95 )
| ~ ( pred_attacker @ SV62 )
| ( pred_mess @ SV95 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(874,plain,
! [SV64: $i,SV96: $i] :
( ( ( constr_adec @ ( constr_aenc @ SV96 @ ( constr_pkey @ SV64 ) ) @ SV64 )
= SV96 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(875,plain,
! [SV65: $i,SV97: $i] :
( ( ( constr_dec @ ( constr_enc @ SV97 @ SV65 ) @ SV65 )
= SV97 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(876,plain,
! [SV66: $i,SV98: $i] :
( ( ( constr_getmess @ ( constr_sign @ SV98 @ SV66 ) )
= SV98 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(877,plain,
! [SV67: $i,SV99: $i] :
( ( ( constr_checksign @ ( constr_sign @ SV99 @ SV67 ) @ ( constr_pkey @ SV67 ) )
= SV99 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(878,plain,
! [SV100: $i,SV68: $i] :
( ( ! [SY161: $i] :
( ( tuple_assoc_pair @ SV68 @ ( tuple_assoc_pair @ SV100 @ SY161 ) )
= ( tuple_assoc_pair @ ( tuple_assoc_pair @ SV68 @ SV100 ) @ SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(879,plain,
! [SV101: $i,SV69: $i] :
( ( ( constr_assoc_pair_2_get_1_bitstring @ ( tuple_assoc_pair @ SV69 @ SV101 ) )
= SV101 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(880,plain,
! [SV102: $i,SV70: $i] :
( ( ( constr_assoc_pair_2_get_0x30_bitstring @ ( tuple_assoc_pair @ SV70 @ SV102 ) )
= SV70 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(881,plain,
! [SV103: $i,SV71: $i] :
( ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ SV71 @ SV103 ) )
= SV103 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(882,plain,
! [SV104: $i,SV72: $i] :
( ( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ SV72 @ SV104 ) )
= SV72 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(883,plain,
! [SV73: $i,SV105: $i] :
( ( ! [SY162: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY162 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY162 ) )
| ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SY162 @ ( constr_pkey @ name_skS ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(884,plain,
! [SV106: $i,SV74: $i] :
( ( ! [SY163: $i,SY164: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SY163 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SY163 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) )
| ~ ( 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)],[810]) ).
thf(885,plain,
! [SV3: $i] :
( ( ( pred_attacker @ SV3 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(886,plain,
! [SV4: $i] :
( ( ( pred_attacker @ SV4 )
= $false )
| ( ( pred_attacker @ ( constr_tuple_2_get_0x30 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(887,plain,
! [SV77: $i,SV5: $i] :
( ( ( ~ ( pred_attacker @ SV5 )
| ~ ( pred_attacker @ SV77 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV5 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(888,plain,
! [SV6: $i] :
( ( ( pred_attacker @ SV6 )
= $false )
| ( ( pred_attacker @ ( constr_pkey @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(889,plain,
! [SV7: $i] :
( ( ( pred_attacker @ SV7 )
= $false )
| ( ( pred_attacker @ ( tuple_out_3 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(890,plain,
! [SV8: $i] :
( ( ( pred_attacker @ ( tuple_out_3 @ SV8 ) )
= $false )
| ( ( pred_attacker @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(891,plain,
! [SV9: $i] :
( ( ( pred_attacker @ SV9 )
= $false )
| ( ( pred_attacker @ ( tuple_out_2 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(892,plain,
! [SV10: $i] :
( ( ( pred_attacker @ ( tuple_out_2 @ SV10 ) )
= $false )
| ( ( pred_attacker @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(893,plain,
! [SV11: $i] :
( ( ( pred_attacker @ SV11 )
= $false )
| ( ( pred_attacker @ ( tuple_out_1 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(894,plain,
! [SV12: $i] :
( ( ( pred_attacker @ ( tuple_out_1 @ SV12 ) )
= $false )
| ( ( pred_attacker @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(895,plain,
! [SV13: $i] :
( ( ( pred_attacker @ SV13 )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(896,plain,
! [SV14: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ SV14 ) )
= $false )
| ( ( pred_attacker @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(897,plain,
! [SV78: $i,SV15: $i] :
( ( ( ~ ( pred_attacker @ SV15 )
| ~ ( pred_attacker @ SV78 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV15 @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(898,plain,
! [SV107: $i,SV16: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV16 @ SV107 ) ) )
= $true )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(899,plain,
! [SV79: $i,SV17: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV17 @ SV79 ) ) )
= $true )
| ( ( pred_attacker @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(900,plain,
! [SV80: $i,SV18: $i] :
( ( ( ~ ( pred_attacker @ SV18 )
| ~ ( pred_attacker @ SV80 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV18 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(901,plain,
! [SV108: $i,SV19: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV19 @ SV108 ) ) )
= $true )
| ( ( pred_attacker @ SV19 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(902,plain,
! [SV81: $i,SV20: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV20 @ SV81 ) ) )
= $true )
| ( ( pred_attacker @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(903,plain,
! [SV21: $i] :
( ( ( pred_attacker @ SV21 )
= $false )
| ( ( pred_attacker @ ( constr_getmess @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(904,plain,
! [SV82: $i,SV22: $i] :
( ( ( ~ ( pred_attacker @ SV22 )
| ~ ( pred_attacker @ SV82 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV22 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(905,plain,
! [SV83: $i,SV23: $i] :
( ( ( ~ ( pred_attacker @ SV23 )
| ~ ( pred_attacker @ SV83 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV23 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(906,plain,
! [SV24: $i] :
( ( ( pred_attacker @ SV24 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(907,plain,
! [SV25: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_6 @ SV25 ) )
= $false )
| ( ( pred_attacker @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(908,plain,
! [SV26: $i] :
( ( ( pred_attacker @ SV26 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(909,plain,
! [SV27: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_4 @ SV27 ) )
= $false )
| ( ( pred_attacker @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(910,plain,
! [SV84: $i,SV28: $i] :
( ( ( ~ ( pred_attacker @ SV28 )
| ~ ( pred_attacker @ SV84 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV28 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(911,plain,
! [SV109: $i,SV29: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV29 @ SV109 ) ) )
= $true )
| ( ( pred_attacker @ SV29 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(912,plain,
! [SV85: $i,SV30: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_out_1 @ SV30 @ SV85 ) ) )
= $true )
| ( ( pred_attacker @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(913,plain,
! [SV31: $i] :
( ( ( pred_attacker @ SV31 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(914,plain,
! [SV32: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV32 ) )
= $false )
| ( ( pred_attacker @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(915,plain,
! [SV33: $i] :
( ( ( pred_attacker @ SV33 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(916,plain,
! [SV34: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV34 ) )
= $false )
| ( ( pred_attacker @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(917,plain,
! [SV35: $i] :
( ( ( pred_attacker @ SV35 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(918,plain,
! [SV36: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV36 ) )
= $false )
| ( ( pred_attacker @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(919,plain,
! [SV37: $i] :
( ( ( pred_attacker @ SV37 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(920,plain,
! [SV38: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_5 @ SV38 ) )
= $false )
| ( ( pred_attacker @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(921,plain,
! [SV39: $i] :
( ( ( pred_attacker @ SV39 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(922,plain,
! [SV40: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_3 @ SV40 ) )
= $false )
| ( ( pred_attacker @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(923,plain,
! [SV86: $i,SV41: $i] :
( ( ( ~ ( pred_attacker @ SV41 )
| ~ ( pred_attacker @ SV86 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV41 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(924,plain,
! [SV110: $i,SV42: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV42 @ SV110 ) ) )
= $true )
| ( ( pred_attacker @ SV42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(925,plain,
! [SV87: $i,SV43: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_A_out_1 @ SV43 @ SV87 ) ) )
= $true )
| ( ( pred_attacker @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(926,plain,
! [SV44: $i] :
( ( ( pred_attacker @ SV44 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(927,plain,
! [SV45: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_4 @ SV45 ) )
= $false )
| ( ( pred_attacker @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(928,plain,
! [SV46: $i] :
( ( ( pred_attacker @ SV46 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(929,plain,
! [SV47: $i] :
( ( ( pred_attacker @ ( tuple_client_A_in_2 @ SV47 ) )
= $false )
| ( ( pred_attacker @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(930,plain,
! [SV88: $i,SV48: $i] :
( ( ( ~ ( pred_attacker @ SV48 )
| ~ ( pred_attacker @ SV88 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV48 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(931,plain,
! [SV49: $i] :
( ( ( pred_attacker @ SV49 )
= $false )
| ( ( pred_attacker @ ( constr_assoc_pair_2_get_1_bitstring @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(932,plain,
! [SV50: $i] :
( ( ( pred_attacker @ SV50 )
= $false )
| ( ( pred_attacker @ ( constr_assoc_pair_2_get_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(933,plain,
! [SV51: $i] :
( ( ( pred_attacker @ SV51 )
= $false )
| ( ( pred_attacker @ ( constr_assoc_pair_2_get_0x30_bitstring @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(934,plain,
! [SV52: $i] :
( ( ( pred_attacker @ SV52 )
= $false )
| ( ( pred_attacker @ ( constr_assoc_pair_2_get_0x30 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(935,plain,
! [SV89: $i,SV53: $i] :
( ( ( ~ ( pred_attacker @ SV53 )
| ~ ( pred_attacker @ SV89 ) )
= $true )
| ( ( pred_attacker @ ( tuple_assoc_pair @ SV53 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(936,plain,
! [SV111: $i,SV54: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_assoc_pair @ SV54 @ SV111 ) ) )
= $true )
| ( ( pred_attacker @ SV54 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(937,plain,
! [SV90: $i,SV55: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_assoc_pair @ SV55 @ SV90 ) ) )
= $true )
| ( ( pred_attacker @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(938,plain,
! [SV91: $i,SV56: $i] :
( ( ( ~ ( pred_attacker @ SV56 )
| ~ ( pred_attacker @ SV91 ) )
= $true )
| ( ( pred_attacker @ ( constr_aenc @ SV56 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(939,plain,
! [SV92: $i,SV57: $i] :
( ( ( ~ ( pred_attacker @ SV57 )
| ~ ( pred_attacker @ SV92 ) )
= $true )
| ( ( pred_attacker @ ( constr_adec @ SV57 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(940,plain,
! [SV93: $i,SV58: $i] :
( ( ( ~ ( pred_attacker @ SV58 )
| ~ ( pred_attacker @ SV93 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV58 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(941,plain,
! [SV112: $i,SV59: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_2 @ SV59 @ SV112 ) ) )
= $true )
| ( ( pred_attacker @ SV59 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(942,plain,
! [SV94: $i,SV60: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_2 @ SV60 @ SV94 ) ) )
= $true )
| ( ( pred_attacker @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(943,plain,
! [SV61: $i,SV113: $i] :
( ( ( ~ ( pred_attacker @ SV113 )
| ~ ( pred_mess @ SV113 @ SV61 ) )
= $true )
| ( ( pred_attacker @ SV61 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(944,plain,
! [SV62: $i,SV95: $i] :
( ( ( ~ ( pred_attacker @ SV95 )
| ~ ( pred_attacker @ SV62 ) )
= $true )
| ( ( pred_mess @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(945,plain,
! [SV114: $i,SV100: $i,SV68: $i] :
( ( ( tuple_assoc_pair @ SV68 @ ( tuple_assoc_pair @ SV100 @ SV114 ) )
= ( tuple_assoc_pair @ ( tuple_assoc_pair @ SV68 @ SV100 ) @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(946,plain,
! [SV73: $i,SV115: $i,SV105: $i] :
( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) )
| ~ ( 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_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(947,plain,
! [SV106: $i,SV74: $i] :
( ( ( ! [SY163: $i,SY164: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SY163 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SY163 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) )
| ~ ( 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 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(948,plain,
! [SV77: $i,SV5: $i] :
( ( ( ~ ( pred_attacker @ SV5 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV77 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV5 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(949,plain,
! [SV78: $i,SV15: $i] :
( ( ( ~ ( pred_attacker @ SV15 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV78 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV15 @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(950,plain,
! [SV107: $i,SV16: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV16 @ SV107 ) )
= $false )
| ( ( pred_attacker @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(951,plain,
! [SV79: $i,SV17: $i] :
( ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV17 @ SV79 ) )
= $false )
| ( ( pred_attacker @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(952,plain,
! [SV80: $i,SV18: $i] :
( ( ( ~ ( pred_attacker @ SV18 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV80 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV18 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(953,plain,
! [SV108: $i,SV19: $i] :
( ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV19 @ SV108 ) )
= $false )
| ( ( pred_attacker @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(954,plain,
! [SV81: $i,SV20: $i] :
( ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV20 @ SV81 ) )
= $false )
| ( ( pred_attacker @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(955,plain,
! [SV82: $i,SV22: $i] :
( ( ( ~ ( pred_attacker @ SV22 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV82 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV22 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(956,plain,
! [SV83: $i,SV23: $i] :
( ( ( ~ ( pred_attacker @ SV23 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV83 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV23 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(957,plain,
! [SV84: $i,SV28: $i] :
( ( ( ~ ( pred_attacker @ SV28 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV84 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV28 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(958,plain,
! [SV109: $i,SV29: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV29 @ SV109 ) )
= $false )
| ( ( pred_attacker @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(959,plain,
! [SV85: $i,SV30: $i] :
( ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV30 @ SV85 ) )
= $false )
| ( ( pred_attacker @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(960,plain,
! [SV86: $i,SV41: $i] :
( ( ( ~ ( pred_attacker @ SV41 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV86 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV41 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(961,plain,
! [SV110: $i,SV42: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV42 @ SV110 ) )
= $false )
| ( ( pred_attacker @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(962,plain,
! [SV87: $i,SV43: $i] :
( ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV43 @ SV87 ) )
= $false )
| ( ( pred_attacker @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(963,plain,
! [SV88: $i,SV48: $i] :
( ( ( ~ ( pred_attacker @ SV48 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV88 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV48 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(964,plain,
! [SV89: $i,SV53: $i] :
( ( ( ~ ( pred_attacker @ SV53 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV89 ) )
= $true )
| ( ( pred_attacker @ ( tuple_assoc_pair @ SV53 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(965,plain,
! [SV111: $i,SV54: $i] :
( ( ( pred_attacker @ ( tuple_assoc_pair @ SV54 @ SV111 ) )
= $false )
| ( ( pred_attacker @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(966,plain,
! [SV90: $i,SV55: $i] :
( ( ( pred_attacker @ ( tuple_assoc_pair @ SV55 @ SV90 ) )
= $false )
| ( ( pred_attacker @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(967,plain,
! [SV91: $i,SV56: $i] :
( ( ( ~ ( pred_attacker @ SV56 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV91 ) )
= $true )
| ( ( pred_attacker @ ( constr_aenc @ SV56 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(968,plain,
! [SV92: $i,SV57: $i] :
( ( ( ~ ( pred_attacker @ SV57 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV92 ) )
= $true )
| ( ( pred_attacker @ ( constr_adec @ SV57 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(969,plain,
! [SV93: $i,SV58: $i] :
( ( ( ~ ( pred_attacker @ SV58 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV93 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV58 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(970,plain,
! [SV112: $i,SV59: $i] :
( ( ( pred_attacker @ ( tuple_2 @ SV59 @ SV112 ) )
= $false )
| ( ( pred_attacker @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(971,plain,
! [SV94: $i,SV60: $i] :
( ( ( pred_attacker @ ( tuple_2 @ SV60 @ SV94 ) )
= $false )
| ( ( pred_attacker @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(972,plain,
! [SV61: $i,SV113: $i] :
( ( ( ~ ( pred_attacker @ SV113 ) )
= $true )
| ( ( ~ ( pred_mess @ SV113 @ SV61 ) )
= $true )
| ( ( pred_attacker @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(973,plain,
! [SV62: $i,SV95: $i] :
( ( ( ~ ( pred_attacker @ SV95 ) )
= $true )
| ( ( ~ ( pred_attacker @ SV62 ) )
= $true )
| ( ( pred_mess @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(974,plain,
! [SV73: $i,SV115: $i,SV105: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) )
| ~ ( 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_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(975,plain,
! [SV106: $i,SV74: $i,SV116: $i] :
( ( ( ! [SY165: $i] :
( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SY165 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SY165 ) ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(976,plain,
! [SV77: $i,SV5: $i] :
( ( ( pred_attacker @ SV5 )
= $false )
| ( ( ~ ( pred_attacker @ SV77 ) )
= $true )
| ( ( pred_attacker @ ( constr_sign @ SV5 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(977,plain,
! [SV78: $i,SV15: $i] :
( ( ( pred_attacker @ SV15 )
= $false )
| ( ( ~ ( pred_attacker @ SV78 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV15 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(978,plain,
! [SV80: $i,SV18: $i] :
( ( ( pred_attacker @ SV18 )
= $false )
| ( ( ~ ( pred_attacker @ SV80 ) )
= $true )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV18 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(979,plain,
! [SV82: $i,SV22: $i] :
( ( ( pred_attacker @ SV22 )
= $false )
| ( ( ~ ( pred_attacker @ SV82 ) )
= $true )
| ( ( pred_attacker @ ( constr_enc @ SV22 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(980,plain,
! [SV83: $i,SV23: $i] :
( ( ( pred_attacker @ SV23 )
= $false )
| ( ( ~ ( pred_attacker @ SV83 ) )
= $true )
| ( ( pred_attacker @ ( constr_dec @ SV23 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(981,plain,
! [SV84: $i,SV28: $i] :
( ( ( pred_attacker @ SV28 )
= $false )
| ( ( ~ ( pred_attacker @ SV84 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV28 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(982,plain,
! [SV86: $i,SV41: $i] :
( ( ( pred_attacker @ SV41 )
= $false )
| ( ( ~ ( pred_attacker @ SV86 ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV41 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(983,plain,
! [SV88: $i,SV48: $i] :
( ( ( pred_attacker @ SV48 )
= $false )
| ( ( ~ ( pred_attacker @ SV88 ) )
= $true )
| ( ( pred_attacker @ ( constr_checksign @ SV48 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(984,plain,
! [SV89: $i,SV53: $i] :
( ( ( pred_attacker @ SV53 )
= $false )
| ( ( ~ ( pred_attacker @ SV89 ) )
= $true )
| ( ( pred_attacker @ ( tuple_assoc_pair @ SV53 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(985,plain,
! [SV91: $i,SV56: $i] :
( ( ( pred_attacker @ SV56 )
= $false )
| ( ( ~ ( pred_attacker @ SV91 ) )
= $true )
| ( ( pred_attacker @ ( constr_aenc @ SV56 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(986,plain,
! [SV92: $i,SV57: $i] :
( ( ( pred_attacker @ SV57 )
= $false )
| ( ( ~ ( pred_attacker @ SV92 ) )
= $true )
| ( ( pred_attacker @ ( constr_adec @ SV57 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(987,plain,
! [SV93: $i,SV58: $i] :
( ( ( pred_attacker @ SV58 )
= $false )
| ( ( ~ ( pred_attacker @ SV93 ) )
= $true )
| ( ( pred_attacker @ ( tuple_2 @ SV58 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(988,plain,
! [SV61: $i,SV113: $i] :
( ( ( pred_attacker @ SV113 )
= $false )
| ( ( ~ ( pred_mess @ SV113 @ SV61 ) )
= $true )
| ( ( pred_attacker @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(989,plain,
! [SV62: $i,SV95: $i] :
( ( ( pred_attacker @ SV95 )
= $false )
| ( ( ~ ( pred_attacker @ SV62 ) )
= $true )
| ( ( pred_mess @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(990,plain,
! [SV73: $i,SV115: $i,SV105: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) )
| ~ ( 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_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(991,plain,
! [SV117: $i,SV106: $i,SV74: $i,SV116: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(992,plain,
! [SV5: $i,SV77: $i] :
( ( ( pred_attacker @ SV77 )
= $false )
| ( ( pred_attacker @ SV5 )
= $false )
| ( ( pred_attacker @ ( constr_sign @ SV5 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(993,plain,
! [SV15: $i,SV78: $i] :
( ( ( pred_attacker @ SV78 )
= $false )
| ( ( pred_attacker @ SV15 )
= $false )
| ( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ SV15 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(994,plain,
! [SV18: $i,SV80: $i] :
( ( ( pred_attacker @ SV80 )
= $false )
| ( ( pred_attacker @ SV18 )
= $false )
| ( ( pred_attacker @ ( tuple_key_register_server_in_1 @ SV18 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(995,plain,
! [SV22: $i,SV82: $i] :
( ( ( pred_attacker @ SV82 )
= $false )
| ( ( pred_attacker @ SV22 )
= $false )
| ( ( pred_attacker @ ( constr_enc @ SV22 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(996,plain,
! [SV23: $i,SV83: $i] :
( ( ( pred_attacker @ SV83 )
= $false )
| ( ( pred_attacker @ SV23 )
= $false )
| ( ( pred_attacker @ ( constr_dec @ SV23 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(997,plain,
! [SV28: $i,SV84: $i] :
( ( ( pred_attacker @ SV84 )
= $false )
| ( ( pred_attacker @ SV28 )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_1 @ SV28 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(998,plain,
! [SV41: $i,SV86: $i] :
( ( ( pred_attacker @ SV86 )
= $false )
| ( ( pred_attacker @ SV41 )
= $false )
| ( ( pred_attacker @ ( tuple_client_A_out_1 @ SV41 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(999,plain,
! [SV48: $i,SV88: $i] :
( ( ( pred_attacker @ SV88 )
= $false )
| ( ( pred_attacker @ SV48 )
= $false )
| ( ( pred_attacker @ ( constr_checksign @ SV48 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1000,plain,
! [SV53: $i,SV89: $i] :
( ( ( pred_attacker @ SV89 )
= $false )
| ( ( pred_attacker @ SV53 )
= $false )
| ( ( pred_attacker @ ( tuple_assoc_pair @ SV53 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1001,plain,
! [SV56: $i,SV91: $i] :
( ( ( pred_attacker @ SV91 )
= $false )
| ( ( pred_attacker @ SV56 )
= $false )
| ( ( pred_attacker @ ( constr_aenc @ SV56 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1002,plain,
! [SV57: $i,SV92: $i] :
( ( ( pred_attacker @ SV92 )
= $false )
| ( ( pred_attacker @ SV57 )
= $false )
| ( ( pred_attacker @ ( constr_adec @ SV57 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1003,plain,
! [SV58: $i,SV93: $i] :
( ( ( pred_attacker @ SV93 )
= $false )
| ( ( pred_attacker @ SV58 )
= $false )
| ( ( pred_attacker @ ( tuple_2 @ SV58 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1004,plain,
! [SV61: $i,SV113: $i] :
( ( ( pred_mess @ SV113 @ SV61 )
= $false )
| ( ( pred_attacker @ SV113 )
= $false )
| ( ( pred_attacker @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1005,plain,
! [SV95: $i,SV62: $i] :
( ( ( pred_attacker @ SV62 )
= $false )
| ( ( pred_attacker @ SV95 )
= $false )
| ( ( pred_mess @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1006,plain,
! [SV73: $i,SV115: $i,SV105: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) ) )
= $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_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[990]) ).
thf(1007,plain,
! [SV117: $i,SV106: $i,SV74: $i,SV116: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1008,plain,
! [SV73: $i,SV115: $i,SV105: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) ) )
= $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_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1009,plain,
! [SV117: $i,SV106: $i,SV74: $i,SV116: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
| ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1010,plain,
! [SV73: $i,SV115: $i,SV105: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) ) )
= $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_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1011,plain,
! [SV117: $i,SV106: $i,SV74: $i,SV116: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
| ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1012,plain,
! [SV73: $i,SV115: $i,SV105: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) )
= $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_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1013,plain,
! [SV117: $i,SV106: $i,SV74: $i,SV116: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
| ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1014,plain,
! [SV73: $i,SV105: $i,SV115: $i] :
( ( ( 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_3 @ SV105 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1015,plain,
! [SV117: $i,SV106: $i,SV74: $i,SV116: $i] :
( ( ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1016,plain,
! [SV73: $i,SV105: $i,SV115: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV115 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV105 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV105 ) )
= $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_4 @ ( constr_aenc @ ( tuple_assoc_pair @ ( constr_assoc_pair_2_get_0x30_bitstring @ ( constr_adec @ SV105 @ name_skB ) ) @ ( tuple_assoc_pair @ ( name_Nb @ SV73 ) @ name_B ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ SV115 @ ( constr_pkey @ name_skS ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1017,plain,
! [SV117: $i,SV106: $i,SV74: $i,SV116: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1018,plain,
! [SV117: $i,SV106: $i,SV116: $i,SV74: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1019,plain,
! [SV117: $i,SV74: $i,SV116: $i,SV106: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) ) )
= $true )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1020,plain,
! [SV117: $i,SV116: $i,SV74: $i,SV106: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
= $false )
| ( ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) ) )
= $true )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1021,plain,
! [SV74: $i,SV116: $i,SV106: $i,SV117: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) )
= $false )
| ( ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) ) )
= $true )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1022,plain,
! [SV116: $i,SV74: $i,SV106: $i,SV117: $i] :
( ( ( pred_attacker @ ( tuple_client_B_in_2 @ SV117 ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_3 @ SV106 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ SV74 ) @ ( constr_adec @ SV116 @ name_skB ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_in_5 @ SV116 ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_assoc_pair_2_get_1 @ ( constr_adec @ SV106 @ name_skB ) ) )
= $false )
| ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ SV117 @ ( constr_pkey @ name_skS ) ) ) )
= $false )
| ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1023,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[506,1022,1016,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,971,970,966,965,962,961,959,958,954,953,951,950,945,934,933,932,931,929,928,927,926,922,921,920,919,918,917,916,915,914,913,909,908,907,906,903,896,895,894,893,892,891,890,889,888,886,885,882,881,880,879,877,876,875,874,813,812,811,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,670,669,668,667,666,665,664,663,662,661,660,659,655,654,653,652,651,574,573,572,571,565,564,563,562,561,524]) ).
thf(1024,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1023]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWW962+1 : TPTP v8.1.0. Released v7.4.0.
% 0.07/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 15:08:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 ..
% 0.18/0.41
% 0.18/0.41 No.of.Axioms: 176
% 0.18/0.41
% 0.18/0.41 Length.of.Defs: 0
% 0.18/0.41
% 0.18/0.41 Contains.Choice.Funs: false
% 0.18/0.44 .......
% 0.18/0.48 (rf:2,axioms:168,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:178,loop_count:0,foatp_calls:0,translation:fof_full)..............................
% 0.45/0.70
% 0.45/0.70 ********************************
% 0.45/0.70 * All subproblems solved! *
% 0.45/0.70 ********************************
% 0.45/0.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:168,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1023,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.68/0.92
% 0.68/0.92 %**** Beginning of derivation protocol ****
% 0.68/0.92 % SZS output start CNFRefutation
% See solution above
% 0.68/0.93
% 0.68/0.93 %**** End of derivation protocol ****
% 0.68/0.93 %**** no. of clauses in derivation: 1016 ****
% 0.68/0.93 %**** clause counter: 1023 ****
% 0.68/0.93
% 0.68/0.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:168,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1023,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------