TSTP Solution File: SWW966+1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SWW966+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:24:28 EDT 2024
% Result : Theorem 36.39s 7.84s
% Output : Refutation 36.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 187
% Syntax : Number of formulae : 376 ( 252 unt; 0 typ; 0 def)
% Number of atoms : 558 ( 210 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 1200 ( 188 ~; 0 |; 58 &; 830 @)
% ( 0 <=>; 124 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 57 ( 55 usr; 17 con; 0-2 aty)
% Number of variables : 249 ( 0 ^ 249 !; 0 ?; 249 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_attacker_type,type,
pred_attacker: $i > $o ).
thf(tuple_2_type,type,
tuple_2: $i > $i > $i ).
thf(name_Nb_type,type,
name_Nb: $i > $i ).
thf(name_objective_type,type,
name_objective: $i ).
thf(constr_CONST_0x30_type,type,
constr_CONST_0x30: $i ).
thf(name_skS_type,type,
name_skS: $i ).
thf(name_A_type,type,
name_A: $i ).
thf(constr_adec_type,type,
constr_adec: $i > $i > $i ).
thf(constr_aenc_type,type,
constr_aenc: $i > $i > $i ).
thf(constr_pkey_type,type,
constr_pkey: $i > $i ).
thf(name_c_type,type,
name_c: $i ).
thf(name_I_type,type,
name_I: $i ).
thf(name_skA_type,type,
name_skA: $i ).
thf(name_skB_type,type,
name_skB: $i ).
thf(pred_table_type,type,
pred_table: $i > $o ).
thf(tuple_keys_type,type,
tuple_keys: $i > $i > $i ).
thf(constr_CONST_3_type,type,
constr_CONST_3: $i ).
thf(constr_checksign_type,type,
constr_checksign: $i > $i > $i ).
thf(constr_sign_type,type,
constr_sign: $i > $i > $i ).
thf(name_B_type,type,
name_B: $i ).
thf(constr_CONST_4_type,type,
constr_CONST_4: $i ).
thf(constr_CONST_2_type,type,
constr_CONST_2: $i ).
thf(constr_getmess_type,type,
constr_getmess: $i > $i ).
thf(constr_ZERO_type,type,
constr_ZERO: $i ).
thf(constr_dec_type,type,
constr_dec: $i > $i > $i ).
thf(constr_enc_type,type,
constr_enc: $i > $i > $i ).
thf(constr_xor_type,type,
constr_xor: $i > $i > $i ).
thf(constr_CONST_1_type,type,
constr_CONST_1: $i ).
thf(pred_eq_bitstring_bitstring_type,type,
pred_eq_bitstring_bitstring: $i > $i > $o ).
thf(tuple_client_A_in_4_type,type,
tuple_client_A_in_4: $i > $i ).
thf(tuple_key_register_server_in_1_type,type,
tuple_key_register_server_in_1: $i > $i > $i ).
thf(constr_tuple_2_get_0x30_bitstring_type,type,
constr_tuple_2_get_0x30_bitstring: $i > $i ).
thf(pred_mess_type,type,
pred_mess: $i > $i > $o ).
thf(constr_tuple_2_get_1_bitstring_type,type,
constr_tuple_2_get_1_bitstring: $i > $i ).
thf(tuple_client_A_out_1_type,type,
tuple_client_A_out_1: $i > $i > $i ).
thf(tuple_client_B_out_4_type,type,
tuple_client_B_out_4: $i > $i ).
thf(tuple_client_A_out_3_type,type,
tuple_client_A_out_3: $i > $i ).
thf(tuple_key_retrieval_server_in_1_type,type,
tuple_key_retrieval_server_in_1: $i > $i > $i ).
thf(tuple_client_B_out_1_type,type,
tuple_client_B_out_1: $i > $i > $i ).
thf(tuple_out_2_type,type,
tuple_out_2: $i > $i ).
thf(tuple_client_B_out_6_type,type,
tuple_client_B_out_6: $i > $i ).
thf(tuple_client_B_in_3_type,type,
tuple_client_B_in_3: $i > $i ).
thf(tuple_client_A_out_5_type,type,
tuple_client_A_out_5: $i > $i ).
thf(tuple_key_retrieval_server_out_2_type,type,
tuple_key_retrieval_server_out_2: $i > $i ).
thf(tuple_client_A_in_2_type,type,
tuple_client_A_in_2: $i > $i ).
thf(name_new0x2Dname_type,type,
name_new0x2Dname: $i > $i ).
thf(constr_tuple_2_get_1_type,type,
constr_tuple_2_get_1: $i > $i ).
thf(tuple_out_3_type,type,
tuple_out_3: $i > $i ).
thf(constr_tuple_2_get_0x30_type,type,
constr_tuple_2_get_0x30: $i > $i ).
thf(tuple_client_B_in_2_type,type,
tuple_client_B_in_2: $i > $i ).
thf(tuple_out_1_type,type,
tuple_out_1: $i > $i ).
thf(tuple_false_type,type,
tuple_false: $i ).
thf(tuple_client_B_in_5_type,type,
tuple_client_B_in_5: $i > $i ).
thf(name_Na_type,type,
name_Na: $i > $i ).
thf(tuple_true_type,type,
tuple_true: $i ).
thf(185,axiom,
! [A: $i,B: $i] :
( ( ( A != name_B )
& ( A != name_A )
& ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) ) )
=> ( pred_table @ ( tuple_keys @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax186) ).
thf(645,plain,
! [A: $i,B: $i] :
( ( ( A != name_B )
& ( A != name_A )
& ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) ) )
=> ( pred_table @ ( tuple_keys @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(104,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).
thf(479,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ B )
& ( pred_attacker @ A ) )
=> ( pred_mess @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( constr_getmess @ ( constr_sign @ B @ A ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
thf(234,plain,
! [A: $i,B: $i] :
( ( constr_getmess @ ( constr_sign @ B @ A ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(178,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax120) ).
thf(628,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(23,axiom,
constr_CONST_2 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(249,plain,
constr_CONST_2 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(105,axiom,
! [A: $i,B: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax99) ).
thf(481,plain,
! [A: $i,B: $i] :
( ( constr_tuple_2_get_1_bitstring @ ( tuple_2 @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(58,axiom,
! [A: $i,B: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
thf(352,plain,
! [A: $i,B: $i] : ( pred_eq_bitstring_bitstring @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(77,axiom,
constr_CONST_0x30 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(408,plain,
constr_CONST_0x30 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(32,axiom,
constr_ZERO != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(276,plain,
constr_ZERO != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(120,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).
thf(511,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_out_5 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(162,axiom,
pred_attacker @ constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax158) ).
thf(597,plain,
pred_attacker @ constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(126,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).
thf(523,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_2 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(154,axiom,
pred_attacker @ constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).
thf(582,plain,
pred_attacker @ constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(69,axiom,
constr_ZERO != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(384,plain,
constr_ZERO != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(131,axiom,
pred_attacker @ constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).
thf(533,plain,
pred_attacker @ constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(54,axiom,
constr_CONST_3 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(340,plain,
constr_CONST_3 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(134,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( pred_table @ ( tuple_keys @ A @ B ) )
& ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ C @ A ) ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ A @ B ) @ name_skS ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax185) ).
thf(538,plain,
! [A: $i,B: $i,C: $i] :
( ( ( pred_table @ ( tuple_keys @ A @ B ) )
& ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ C @ A ) ) )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ ( constr_sign @ ( tuple_2 @ A @ B ) @ name_skS ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(80,axiom,
constr_CONST_2 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(417,plain,
constr_CONST_2 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(36,axiom,
constr_CONST_1 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(288,plain,
constr_CONST_1 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(146,axiom,
pred_attacker @ name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax168) ).
thf(565,plain,
pred_attacker @ name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(187,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ A ) @ ( constr_adec @ C @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ C ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ B @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ B ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ D @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ D ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax184) ).
thf(651,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ A ) @ ( constr_adec @ C @ name_skB ) )
& ( pred_attacker @ ( tuple_client_B_in_5 @ C ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ B @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ B ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ D @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ D ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(65,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(372,plain,
constr_CONST_4 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(173,axiom,
pred_attacker @ tuple_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
thf(619,plain,
pred_attacker @ tuple_true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(60,axiom,
name_c != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
thf(357,plain,
name_c != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(95,axiom,
name_A != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(460,plain,
name_A != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(1,conjecture,
! [A: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ A ) @ name_objective ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
thf(2,negated_conjecture,
~ ! [A: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ A ) @ name_objective ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(189,plain,
~ ! [A: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ A ) @ name_objective ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(49,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(325,plain,
constr_CONST_3 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(16,axiom,
name_c != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
thf(228,plain,
name_c != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(27,axiom,
name_B != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
thf(261,plain,
name_B != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( constr_checksign @ ( constr_sign @ B @ A ) @ ( constr_pkey @ A ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
thf(216,plain,
! [A: $i,B: $i] :
( ( constr_checksign @ ( constr_sign @ B @ A ) @ ( constr_pkey @ A ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(110,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).
thf(492,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(175,axiom,
pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax178) ).
thf(623,plain,
pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(150,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_pkey @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
thf(574,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_pkey @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(181,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(634,plain,
constr_CONST_1 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(92,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(453,plain,
constr_CONST_4 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(73,axiom,
constr_CONST_3 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(396,plain,
constr_CONST_3 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(78,axiom,
constr_CONST_0x30 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(411,plain,
constr_CONST_0x30 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( constr_dec @ ( constr_enc @ B @ A ) @ A )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
thf(243,plain,
! [A: $i,B: $i] :
( ( constr_dec @ ( constr_enc @ B @ A ) @ A )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(118,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).
thf(507,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(8,axiom,
name_skA != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
thf(206,plain,
name_skA != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(128,axiom,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax173) ).
thf(527,plain,
! [A: $i] : ( pred_attacker @ ( name_new0x2Dname @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(44,axiom,
constr_CONST_2 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(312,plain,
constr_CONST_2 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(137,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax112) ).
thf(546,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(68,axiom,
constr_CONST_4 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(381,plain,
constr_CONST_4 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(63,axiom,
constr_CONST_1 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(366,plain,
constr_CONST_1 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(132,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_getmess @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).
thf(534,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_getmess @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(30,axiom,
constr_CONST_0x30 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(270,plain,
constr_CONST_0x30 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(129,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
thf(529,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_out_6 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(52,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(334,plain,
constr_CONST_2 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(57,axiom,
constr_CONST_2 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(349,plain,
constr_CONST_2 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(163,axiom,
pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax179) ).
thf(598,plain,
pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_I ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(39,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(297,plain,
constr_CONST_4 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(179,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).
thf(630,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(84,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(429,plain,
constr_CONST_1 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(98,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).
thf(467,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(24,axiom,
constr_CONST_3 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(252,plain,
constr_CONST_3 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( constr_adec @ ( constr_aenc @ B @ ( constr_pkey @ A ) ) @ A )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
thf(197,plain,
! [A: $i,B: $i] :
( ( constr_adec @ ( constr_aenc @ B @ ( constr_pkey @ A ) ) @ A )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(86,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(435,plain,
constr_CONST_0x30 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(139,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).
thf(551,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(93,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax151) ).
thf(456,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_in_4 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(35,axiom,
constr_CONST_0x30 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(285,plain,
constr_CONST_0x30 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(147,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
thf(566,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_out_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(106,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax147) ).
thf(484,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(155,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).
thf(583,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_5 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(125,axiom,
pred_attacker @ name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).
thf(522,plain,
pred_attacker @ name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(81,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(420,plain,
constr_CONST_1 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(114,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(499,plain,
constr_CONST_2 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(108,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).
thf(488,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_out_4 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(15,axiom,
constr_CONST_0x30 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(225,plain,
constr_CONST_0x30 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(102,axiom,
pred_attacker @ name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax170) ).
thf(476,plain,
pred_attacker @ name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(182,axiom,
name_objective != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
thf(637,plain,
name_objective != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(159,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
thf(590,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(50,axiom,
name_skB != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
thf(328,plain,
name_skB != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(100,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_sign @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax110) ).
thf(471,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_sign @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(72,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(393,plain,
constr_CONST_1 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(122,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).
thf(515,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_in_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(188,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax153) ).
thf(654,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_in_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(116,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).
thf(503,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_out_6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(167,axiom,
name_B != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(605,plain,
name_B != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(61,axiom,
constr_CONST_3 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(360,plain,
constr_CONST_3 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(135,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).
thf(541,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(143,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
thf(558,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(157,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).
thf(586,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(55,axiom,
name_A != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(343,plain,
name_A != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(19,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(237,plain,
constr_CONST_2 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(172,axiom,
pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax176) ).
thf(618,plain,
pred_attacker @ ( tuple_out_1 @ ( constr_pkey @ name_skA ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(121,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).
thf(513,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(28,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
thf(264,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(33,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(279,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(89,axiom,
name_A != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(444,plain,
name_A != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(66,axiom,
name_I != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(375,plain,
name_I != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(165,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax122) ).
thf(601,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(82,axiom,
! [A: $i,B: $i,C: $i] :
( ( constr_xor @ A @ ( constr_xor @ B @ C ) )
= ( constr_xor @ ( constr_xor @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax98) ).
thf(423,plain,
! [A: $i,B: $i,C: $i] :
( ( constr_xor @ A @ ( constr_xor @ B @ C ) )
= ( constr_xor @ ( constr_xor @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(3,axiom,
constr_CONST_0x30 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(191,plain,
constr_CONST_0x30 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(75,axiom,
constr_CONST_4 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(402,plain,
constr_CONST_4 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(152,axiom,
pred_attacker @ tuple_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax127) ).
thf(579,plain,
pred_attacker @ tuple_false,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(37,axiom,
constr_ZERO != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(291,plain,
constr_ZERO != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(169,axiom,
! [A: $i,B: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ B @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ B ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ A ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ B @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax180) ).
thf(611,plain,
! [A: $i,B: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ B @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ B ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_3 @ ( constr_aenc @ ( tuple_2 @ ( name_Na @ A ) @ name_A ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ B @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(113,axiom,
pred_attacker @ constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).
thf(498,plain,
pred_attacker @ constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(13,axiom,
name_B != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(219,plain,
name_B != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(46,axiom,
pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax175) ).
thf(318,plain,
pred_table @ ( tuple_keys @ name_B @ ( constr_pkey @ name_skB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(119,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).
thf(509,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(164,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax108) ).
thf(599,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_tuple_2_get_0x30 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(171,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
thf(616,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(41,axiom,
constr_ZERO != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(303,plain,
constr_ZERO != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(103,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_2 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax163) ).
thf(477,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( tuple_2 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(70,axiom,
constr_CONST_4 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(387,plain,
constr_CONST_4 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(111,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).
thf(494,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_key_retrieval_server_in_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(11,axiom,
name_c != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
thf(213,plain,
name_c != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(124,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax140) ).
thf(520,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_B_in_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(20,axiom,
name_I != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(240,plain,
name_I != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(177,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_2 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).
thf(626,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_2 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(74,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(399,plain,
constr_CONST_1 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(168,axiom,
name_objective != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
thf(608,plain,
name_objective != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(42,axiom,
name_A != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(306,plain,
name_A != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(145,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_aenc @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).
thf(563,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_aenc @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(29,axiom,
name_I != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
thf(267,plain,
name_I != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(117,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax146) ).
thf(505,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_client_A_out_3 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(87,axiom,
constr_CONST_1 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(438,plain,
constr_CONST_1 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(101,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(473,plain,
constr_CONST_0x30 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(109,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_dec @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax129) ).
thf(490,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_dec @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(83,axiom,
constr_CONST_3 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(426,plain,
constr_CONST_3 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(130,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_adec @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax156) ).
thf(531,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_adec @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(138,axiom,
! [A: $i,B: $i] :
( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
thf(548,plain,
! [A: $i,B: $i] :
( ( constr_tuple_2_get_0x30 @ ( tuple_2 @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(25,axiom,
! [A: $i] :
( ( constr_xor @ A @ constr_ZERO )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).
thf(255,plain,
! [A: $i] :
( ( constr_xor @ A @ constr_ZERO )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(140,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(553,plain,
constr_CONST_3 != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(94,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_enc @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).
thf(458,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_enc @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(4,axiom,
name_A != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
thf(194,plain,
name_A != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(186,axiom,
name_I != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(648,plain,
name_I != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(9,axiom,
pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax174) ).
thf(209,plain,
pred_table @ ( tuple_keys @ name_A @ ( constr_pkey @ name_skA ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(127,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).
thf(525,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(142,axiom,
pred_attacker @ constr_CONST_0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).
thf(557,plain,
pred_attacker @ constr_CONST_0x30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(153,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
thf(580,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_tuple_2_get_1_bitstring @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(183,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).
thf(640,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_2 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(34,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(282,plain,
constr_CONST_2 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(79,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(414,plain,
constr_CONST_3 != constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(51,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(331,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(88,axiom,
constr_ZERO != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(441,plain,
constr_ZERO != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(156,axiom,
pred_attacker @ constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax157) ).
thf(585,plain,
pred_attacker @ constr_ZERO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(115,axiom,
pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax177) ).
thf(502,plain,
pred_attacker @ ( tuple_out_2 @ ( constr_pkey @ name_skB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(96,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax150) ).
thf(463,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_A_in_4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(151,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
thf(576,plain,
name_c != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(184,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_tuple_2_get_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
thf(643,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( constr_tuple_2_get_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(170,axiom,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).
thf(613,plain,
! [A: $i,B: $i] :
( ( ( pred_mess @ B @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(149,axiom,
! [A: $i,B: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax100) ).
thf(571,plain,
! [A: $i,B: $i] :
( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(161,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_xor @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ B @ name_skA ) ) @ ( name_Na @ A ) ) )
& ( pred_attacker @ ( tuple_client_A_in_4 @ B ) )
& ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ B @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax181) ).
thf(595,plain,
! [A: $i,B: $i,C: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_I @ ( constr_xor @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ B @ name_skA ) ) @ ( name_Na @ A ) ) )
& ( pred_attacker @ ( tuple_client_A_in_4 @ B ) )
& ( pred_eq_bitstring_bitstring @ name_I @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_A_in_2 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_A_out_5 @ ( constr_aenc @ ( constr_tuple_2_get_1_bitstring @ ( constr_adec @ B @ name_skA ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(112,axiom,
pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax182) ).
thf(497,plain,
pred_attacker @ ( tuple_client_B_out_1 @ name_B @ name_A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(91,axiom,
constr_CONST_4 != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(450,plain,
constr_CONST_4 != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(7,axiom,
name_A != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(203,plain,
name_A != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(97,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).
thf(465,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) )
=> ( pred_attacker @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(17,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(231,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(62,axiom,
name_I != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(363,plain,
name_I != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(141,axiom,
pred_attacker @ name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).
thf(556,plain,
pred_attacker @ name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(158,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).
thf(588,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_key_retrieval_server_out_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(123,axiom,
name_objective != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
thf(517,plain,
name_objective != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(47,axiom,
constr_CONST_2 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(319,plain,
constr_CONST_2 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(26,axiom,
constr_CONST_2 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(258,plain,
constr_CONST_2 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(71,axiom,
name_B != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(390,plain,
name_B != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(180,axiom,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
thf(632,plain,
! [A: $i] :
( ( pred_attacker @ ( tuple_out_1 @ A ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(148,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(568,plain,
constr_ZERO != name_objective,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(67,axiom,
constr_CONST_1 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(378,plain,
constr_CONST_1 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(22,axiom,
name_A != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(246,plain,
name_A != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(56,axiom,
constr_CONST_1 != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(346,plain,
constr_CONST_1 != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(133,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_checksign @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).
thf(536,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_checksign @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(40,axiom,
constr_ZERO != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(300,plain,
constr_ZERO != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(174,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).
thf(620,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_B_out_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(90,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(447,plain,
constr_CONST_1 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(45,axiom,
constr_CONST_4 != name_skA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(315,plain,
constr_CONST_4 != name_skA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(85,axiom,
constr_CONST_3 != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(432,plain,
constr_CONST_3 != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(76,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(405,plain,
constr_ZERO != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(31,axiom,
constr_CONST_1 != name_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(273,plain,
constr_CONST_1 != name_A,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(166,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).
thf(603,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_in_5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(10,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(210,plain,
constr_CONST_3 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(38,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(294,plain,
constr_CONST_2 != constr_CONST_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(176,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ B @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ B ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_xor @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ B @ name_skB ) ) @ name_B ) @ ( name_Nb @ A ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax183) ).
thf(624,plain,
! [A: $i,B: $i,C: $i] :
( ( ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_adec @ B @ name_skB ) ) )
& ( pred_attacker @ ( tuple_client_B_in_3 @ B ) )
& ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) )
& ( pred_attacker @ ( tuple_client_B_in_2 @ C ) ) )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ ( constr_aenc @ ( tuple_2 @ ( constr_xor @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_adec @ B @ name_skB ) ) @ name_B ) @ ( name_Nb @ A ) ) @ ( constr_tuple_2_get_1_bitstring @ ( constr_checksign @ C @ ( constr_pkey @ name_skS ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(6,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(200,plain,
constr_CONST_0x30 != name_c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(64,axiom,
name_B != name_I,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(369,plain,
name_B != name_I,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( constr_xor @ A @ B )
= ( constr_xor @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax97) ).
thf(322,plain,
! [A: $i,B: $i] :
( ( constr_xor @ A @ B )
= ( constr_xor @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(107,axiom,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).
thf(486,plain,
! [A: $i] :
( ( pred_attacker @ A )
=> ( pred_attacker @ ( tuple_client_B_out_4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(53,axiom,
name_B != name_skB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
thf(337,plain,
name_B != name_skB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(99,axiom,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_xor @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
thf(469,plain,
! [A: $i,B: $i] :
( ( ( pred_attacker @ A )
& ( pred_attacker @ B ) )
=> ( pred_attacker @ ( constr_xor @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(59,axiom,
name_skA != name_skS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
thf(354,plain,
name_skA != name_skS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(43,axiom,
! [A: $i] :
( ( constr_xor @ A @ A )
= constr_ZERO ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
thf(309,plain,
! [A: $i] :
( ( constr_xor @ A @ A )
= constr_ZERO ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(136,axiom,
! [A: $i,B: $i] :
( ( constr_tuple_2_get_1 @ ( tuple_2 @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
thf(543,plain,
! [A: $i,B: $i] :
( ( constr_tuple_2_get_1 @ ( tuple_2 @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(144,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax124) ).
thf(560,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_key_register_server_in_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(14,axiom,
constr_CONST_4 != name_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(222,plain,
constr_CONST_4 != name_B,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(160,axiom,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).
thf(592,plain,
! [A: $i,B: $i] :
( ( pred_attacker @ ( tuple_client_A_out_1 @ A @ B ) )
=> ( pred_attacker @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(9197,plain,
$false,
inference(e,[status(thm)],[645,479,234,628,249,481,352,408,276,511,597,523,582,384,533,340,538,417,288,565,651,372,619,357,460,189,325,228,261,216,492,623,574,634,453,396,411,243,507,206,527,312,546,381,366,534,270,529,334,349,598,297,630,429,467,252,197,435,551,456,285,566,484,583,522,420,499,488,225,476,637,590,328,471,393,515,654,503,605,360,541,558,586,343,237,618,513,264,279,444,375,601,423,191,402,579,291,611,498,219,318,509,599,616,303,477,387,494,213,520,240,626,399,608,306,563,267,505,438,473,490,426,531,548,255,553,458,194,648,209,525,557,580,640,282,414,331,441,585,502,463,576,643,613,571,595,497,450,203,465,231,363,556,588,517,319,258,390,632,568,378,246,346,536,300,620,447,315,432,405,273,603,210,294,624,200,369,322,486,337,469,354,309,543,560,222,592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWW966+1 : TPTP v8.2.0. Released v7.4.0.
% 0.05/0.10 % Command : run_Leo-III %s %d THM
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Jun 19 06:47:40 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.90/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.03 % [INFO] Parsing done (161ms).
% 1.30/1.04 % [INFO] Running in sequential loop mode.
% 1.92/1.28 % [INFO] eprover registered as external prover.
% 1.92/1.28 % [INFO] Scanning for conjecture ...
% 2.12/1.36 % [INFO] Found a conjecture (or negated_conjecture) and 187 axioms. Running axiom selection ...
% 2.39/1.47 % [INFO] Axiom selection finished. Selected 186 axioms (removed 1 axioms).
% 2.85/1.59 % [INFO] Problem is first-order (TPTP FOF).
% 2.85/1.61 % [INFO] Type checking passed.
% 2.85/1.61 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 36.39/7.83 % External prover 'e' found a proof!
% 36.39/7.83 % [INFO] Killing All external provers ...
% 36.39/7.84 % Time passed: 7342ms (effective reasoning time: 6796ms)
% 36.39/7.84 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 36.39/7.84 % Axioms used in derivation (186): ax113, ax20, ax52, ax67, ax120, ax110, ax74, ax143, ax148, ax24, ax63, ax109, ax166, ax132, ax56, ax103, ax4, ax47, ax137, ax114, ax177, ax41, ax159, ax96, ax126, ax154, ax31, ax90, ax184, ax28, ax9, ax153, ax147, ax17, ax158, ax0, ax6, ax133, ax40, ax121, ax131, ax35, ax58, ax69, ax180, ax45, ax122, ax85, ax13, ax174, ax155, ax142, ax78, ax125, ax39, ax89, ax176, ax185, ax124, ax27, ax66, ax178, ax8, ax91, ax183, ax73, ax51, ax48, ax21, ax136, ax160, ax167, ax88, ax150, ax157, ax117, ax62, ax10, ax146, ax106, ax55, ax32, ax95, ax16, ax80, ax59, ax99, ax102, ax173, ax1, ax7, ax77, ax38, ax164, ax44, ax84, ax175, ax139, ax92, ax94, ax186, ax33, ax26, ax61, ax168, ax11, ax50, ax118, ax87, ax162, ax72, ax128, ax65, ax22, ax179, ax105, ax15, ax145, ax81, ax76, ax43, ax83, ax151, ax19, ax2, ax101, ax70, ax140, ax98, ax129, ax171, ax135, ax37, ax161, ax182, ax54, ax49, ax112, ax127, ax104, ax165, ax138, ax14, ax144, ax163, ax115, ax149, ax108, ax12, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax97, ax57, ax68, ax30, ax170, ax42, ax82, ax18, ax156, ax3, ax141, ax5, ax130, ax36, ax64, ax29, ax116, ax107, ax181, ax75, ax100, ax134, ax93, ax169, ax152, ax53, ax119, ax111, ax79, ax123
% 36.39/7.84 % No. of inferences in proof: 376
% 36.39/7.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 7342 ms resp. 6796 ms w/o parsing
% 36.39/7.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 36.39/7.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------