%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW967+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 : Sat Jun 21 05:37:44 AM UTC 2025
% Result : Theorem 9.05s 9.23s
% Output : Proof 9.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW967+1 : TPTP v9.0.0. Released v7.4.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 12:17:35 EDT 2025
% 0.11/0.33 % CPUTime :
% 9.05/9.23 % SZS status Theorem
% 9.05/9.23 % SZS output start Proof
% 9.05/9.23 tff(pred_eq_bitstring_bitstring_type, type, (
% 9.05/9.23 pred_eq_bitstring_bitstring: ( $i * $i ) > $o)).
% 9.05/9.23 tff(constr_tuple_2_get_1_type, type, (
% 9.05/9.23 constr_tuple_2_get_1: $i > $i)).
% 9.05/9.23 tff(constr_cbc_dec_2_type, type, (
% 9.05/9.23 constr_cbc_dec_2: ( $i * $i ) > $i)).
% 9.05/9.23 tff(name_Kas_type, type, (
% 9.05/9.23 name_Kas: $i)).
% 9.05/9.23 tff(tuple_3_type, type, (
% 9.05/9.23 tuple_3: ( $i * $i * $i ) > $i)).
% 9.05/9.23 tff(constr_CONST_1_type, type, (
% 9.05/9.23 constr_CONST_1: $i)).
% 9.05/9.23 tff(name_B_type, type, (
% 9.05/9.23 name_B: $i)).
% 9.05/9.23 tff(name_A_type, type, (
% 9.05/9.23 name_A: $i)).
% 9.05/9.23 tff(constr_cbc_dec_1_type, type, (
% 9.05/9.23 constr_cbc_dec_1: ( $i * $i ) > $i)).
% 9.05/9.23 tff(constr_tuple_2_get_0x30_bitstring_type, type, (
% 9.05/9.23 constr_tuple_2_get_0x30_bitstring: $i > $i)).
% 9.05/9.23 tff(tuple_succ_type, type, (
% 9.05/9.23 tuple_succ: $i > $i)).
% 9.05/9.23 tff(name_Na0x27_type, type, (
% 9.05/9.23 name_Na0x27: ( $i * $i * $i ) > $i)).
% 9.05/9.23 tff(tuple_4_type, type, (
% 9.05/9.23 tuple_4: ( $i * $i * $i * $i ) > $i)).
% 9.05/9.23 tff(tuple_true_type, type, (
% 9.05/9.23 tuple_true: $i)).
% 9.05/9.23 tff(tuple_2_type, type, (
% 9.05/9.23 tuple_2: ( $i * $i ) > $i)).
% 9.05/9.23 tff(constr_tuple_4_get_1_type, type, (
% 9.05/9.23 constr_tuple_4_get_1: $i > $i)).
% 9.05/9.23 tff(constr_cbc_dec_4_type, type, (
% 9.05/9.23 constr_cbc_dec_4: ( $i * $i ) > $i)).
% 9.05/9.23 tff(constr_tuple_4_get_0x30_type, type, (
% 9.05/9.23 constr_tuple_4_get_0x30: $i > $i)).
% 9.05/9.23 tff(name_Na_type, type, (
% 9.05/9.23 name_Na: $i > $i)).
% 9.05/9.23 tff(pred_attacker_type, type, (
% 9.05/9.23 pred_attacker: $i > $o)).
% 9.05/9.23 tff(tuple_client_A_in_2_type, type, (
% 9.05/9.23 tuple_client_A_in_2: $i > $i)).
% 9.05/9.23 tff(tuple_client_A_in_4_type, type, (
% 9.05/9.23 tuple_client_A_in_4: $i > $i)).
% 9.05/9.23 tff(tuple_client_A_in_6_type, type, (
% 9.05/9.23 tuple_client_A_in_6: $i > $i)).
% 9.05/9.23 tff(tuple_client_A_in_8_type, type, (
% 9.05/9.23 tuple_client_A_in_8: $i > $i)).
% 9.05/9.23 tff(tuple_client_A_out_9_type, type, (
% 9.05/9.23 tuple_client_A_out_9: $i > $i)).
% 9.05/9.23 tff(name_objective_type, type, (
% 9.05/9.23 name_objective: $i)).
% 9.05/9.23 tff(1,assumption,(~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))), introduced(assumption)).
% 9.05/9.23 tff(2,plain,
% 9.05/9.23 (^[VAR_X_81: $i, VAR_Y_82: $i] : refl(pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82) <=> pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82))),
% 9.05/9.23 inference(bind,[status(th)],[])).
% 9.05/9.23 tff(3,plain,
% 9.05/9.23 (![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82) <=> ![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 9.05/9.23 inference(quant_intro,[status(thm)],[2])).
% 9.05/9.23 tff(4,plain,
% 9.05/9.23 (![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82) <=> ![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(5,axiom,(![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax83')).
% 9.05/9.23 tff(6,plain,
% 9.05/9.23 (![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[5, 4])).
% 9.05/9.23 tff(7,plain,(
% 9.05/9.23 ![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 9.05/9.23 inference(skolemize,[status(sab)],[6])).
% 9.05/9.23 tff(8,plain,
% 9.05/9.23 (![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[7, 3])).
% 9.05/9.23 tff(9,plain,
% 9.05/9.23 ((~![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)) | pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))),
% 9.05/9.23 inference(quant_inst,[status(thm)],[])).
% 9.05/9.23 tff(10,plain,
% 9.05/9.23 ($false),
% 9.05/9.23 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 9.05/9.23 tff(11,plain,(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))), inference(lemma,lemma(discharge,[]))).
% 9.05/9.23 tff(12,assumption,(~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))), introduced(assumption)).
% 9.05/9.23 tff(13,plain,
% 9.05/9.23 ((~![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)) | pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))),
% 9.05/9.23 inference(quant_inst,[status(thm)],[])).
% 9.05/9.23 tff(14,plain,
% 9.05/9.23 ($false),
% 9.05/9.23 inference(unit_resolution,[status(thm)],[13, 8, 12])).
% 9.05/9.23 tff(15,plain,(pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))), inference(lemma,lemma(discharge,[]))).
% 9.05/9.23 tff(16,assumption,(~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))), introduced(assumption)).
% 9.05/9.23 tff(17,plain,
% 9.05/9.23 ((~![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)) | pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))),
% 9.05/9.23 inference(quant_inst,[status(thm)],[])).
% 9.05/9.23 tff(18,plain,
% 9.05/9.23 ($false),
% 9.05/9.23 inference(unit_resolution,[status(thm)],[17, 8, 16])).
% 9.05/9.23 tff(19,plain,(pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))), inference(lemma,lemma(discharge,[]))).
% 9.05/9.23 tff(20,plain,
% 9.05/9.23 (^[VAR_V_241: $i] : refl(((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))))),
% 9.05/9.23 inference(bind,[status(th)],[])).
% 9.05/9.23 tff(21,plain,
% 9.05/9.23 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 9.05/9.23 inference(quant_intro,[status(thm)],[20])).
% 9.05/9.23 tff(22,plain,
% 9.05/9.23 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(23,plain,
% 9.05/9.23 (^[VAR_V_241: $i] : rewrite((pred_attacker(VAR_V_241) => pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))))),
% 9.05/9.23 inference(bind,[status(th)],[])).
% 9.05/9.23 tff(24,plain,
% 9.05/9.23 (![VAR_V_241: $i] : (pred_attacker(VAR_V_241) => pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 9.05/9.23 inference(quant_intro,[status(thm)],[23])).
% 9.05/9.23 tff(25,axiom,(![VAR_V_241: $i] : (pred_attacker(VAR_V_241) => pred_attacker(tuple_client_A_in_2(VAR_V_241)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax126')).
% 9.05/9.23 tff(26,plain,
% 9.05/9.23 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[25, 24])).
% 9.05/9.23 tff(27,plain,
% 9.05/9.23 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[26, 22])).
% 9.05/9.23 tff(28,plain,(
% 9.05/9.23 ![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 9.05/9.23 inference(skolemize,[status(sab)],[27])).
% 9.05/9.23 tff(29,plain,
% 9.05/9.23 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[28, 21])).
% 9.05/9.23 tff(30,plain,
% 9.05/9.23 (pred_attacker(tuple_true) <=> pred_attacker(tuple_true)),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(31,axiom,(pred_attacker(tuple_true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax90')).
% 9.05/9.23 tff(32,plain,
% 9.05/9.23 (pred_attacker(tuple_true)),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[31, 30])).
% 9.05/9.23 tff(33,plain,
% 9.05/9.23 (((~![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))) | ((~pred_attacker(tuple_true)) | pred_attacker(tuple_client_A_in_2(tuple_true)))) <=> ((~![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))) | (~pred_attacker(tuple_true)) | pred_attacker(tuple_client_A_in_2(tuple_true)))),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(34,plain,
% 9.05/9.23 ((~![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))) | ((~pred_attacker(tuple_true)) | pred_attacker(tuple_client_A_in_2(tuple_true)))),
% 9.05/9.23 inference(quant_inst,[status(thm)],[])).
% 9.05/9.23 tff(35,plain,
% 9.05/9.23 ((~![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))) | (~pred_attacker(tuple_true)) | pred_attacker(tuple_client_A_in_2(tuple_true))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[34, 33])).
% 9.05/9.23 tff(36,plain,
% 9.05/9.23 (pred_attacker(tuple_client_A_in_2(tuple_true))),
% 9.05/9.23 inference(unit_resolution,[status(thm)],[35, 32, 29])).
% 9.05/9.23 tff(37,plain,
% 9.05/9.23 (^[VAR_V_386: $i, VAR_V_387: $i] : refl((pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))),
% 9.05/9.23 inference(bind,[status(th)],[])).
% 9.05/9.23 tff(38,plain,
% 9.05/9.23 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))) <=> ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))),
% 9.05/9.23 inference(quant_intro,[status(thm)],[37])).
% 9.05/9.23 tff(39,plain,
% 9.05/9.23 (^[VAR_V_386: $i, VAR_V_387: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)) <=> (~((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))), ((~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))) <=> (~(~((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))))), rewrite((~(~((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))) <=> ((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))), ((~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))) <=> ((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))), ((pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | ((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))))), rewrite((pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | ((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))), ((pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))))),
% 9.05/9.23 inference(bind,[status(th)],[])).
% 9.05/9.23 tff(40,plain,
% 9.05/9.23 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))) <=> ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))),
% 9.05/9.23 inference(quant_intro,[status(thm)],[39])).
% 9.05/9.23 tff(41,plain,
% 9.05/9.23 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))) <=> ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(42,plain,
% 9.05/9.23 (^[VAR_V_386: $i, VAR_V_387: $i] : rewrite(((pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)) => pred_attacker(tuple_2(VAR_V_386, VAR_V_387))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))))),
% 9.05/9.23 inference(bind,[status(th)],[])).
% 9.05/9.23 tff(43,plain,
% 9.05/9.23 (![VAR_V_386: $i, VAR_V_387: $i] : ((pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)) => pred_attacker(tuple_2(VAR_V_386, VAR_V_387))) <=> ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 9.05/9.23 inference(quant_intro,[status(thm)],[42])).
% 9.05/9.23 tff(44,axiom,(![VAR_V_386: $i, VAR_V_387: $i] : ((pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)) => pred_attacker(tuple_2(VAR_V_386, VAR_V_387)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax156')).
% 9.05/9.23 tff(45,plain,
% 9.05/9.23 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[44, 43])).
% 9.05/9.23 tff(46,plain,
% 9.05/9.23 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[45, 41])).
% 9.05/9.23 tff(47,plain,(
% 9.05/9.23 ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 9.05/9.23 inference(skolemize,[status(sab)],[46])).
% 9.05/9.23 tff(48,plain,
% 9.05/9.23 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[47, 40])).
% 9.05/9.23 tff(49,plain,
% 9.05/9.23 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[48, 38])).
% 9.05/9.23 tff(50,plain,
% 9.05/9.23 (pred_attacker(constr_CONST_1) <=> pred_attacker(constr_CONST_1)),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(51,axiom,(pred_attacker(constr_CONST_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax145')).
% 9.05/9.23 tff(52,plain,
% 9.05/9.23 (pred_attacker(constr_CONST_1)),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[51, 50])).
% 9.05/9.23 tff(53,plain,
% 9.05/9.23 (((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1)))) <=> ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1)))),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(54,plain,
% 9.05/9.23 ((pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(constr_CONST_1))) <=> ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1)))),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(55,plain,
% 9.05/9.23 (((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(constr_CONST_1)))) <=> ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1))))),
% 9.05/9.23 inference(monotonicity,[status(thm)],[54])).
% 9.05/9.23 tff(56,plain,
% 9.05/9.23 (((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(constr_CONST_1)))) <=> ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1)))),
% 9.05/9.23 inference(transitivity,[status(thm)],[55, 53])).
% 9.05/9.23 tff(57,plain,
% 9.05/9.23 ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(constr_CONST_1)))),
% 9.05/9.23 inference(quant_inst,[status(thm)],[])).
% 9.05/9.23 tff(58,plain,
% 9.05/9.23 ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1))),
% 9.05/9.23 inference(modus_ponens,[status(thm)],[57, 56])).
% 9.05/9.23 tff(59,plain,
% 9.05/9.23 (pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1))),
% 9.05/9.23 inference(unit_resolution,[status(thm)],[58, 52, 49])).
% 9.05/9.23 tff(60,plain,
% 9.05/9.23 (^[VAR_V_235: $i] : refl(((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))))),
% 9.05/9.23 inference(bind,[status(th)],[])).
% 9.05/9.23 tff(61,plain,
% 9.05/9.23 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 9.05/9.23 inference(quant_intro,[status(thm)],[60])).
% 9.05/9.23 tff(62,plain,
% 9.05/9.23 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 9.05/9.23 inference(rewrite,[status(thm)],[])).
% 9.05/9.23 tff(63,plain,
% 9.05/9.23 (^[VAR_V_235: $i] : rewrite((pred_attacker(VAR_V_235) => pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))))),
% 9.05/9.23 inference(bind,[status(th)],[])).
% 9.05/9.23 tff(64,plain,
% 9.05/9.23 (![VAR_V_235: $i] : (pred_attacker(VAR_V_235) => pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 9.05/9.23 inference(quant_intro,[status(thm)],[63])).
% 9.05/9.23 tff(65,axiom,(![VAR_V_235: $i] : (pred_attacker(VAR_V_235) => pred_attacker(tuple_client_A_in_4(VAR_V_235)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax124')).
% 9.05/9.24 tff(66,plain,
% 9.05/9.24 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[65, 64])).
% 9.05/9.24 tff(67,plain,
% 9.05/9.24 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[66, 62])).
% 9.05/9.24 tff(68,plain,(
% 9.05/9.24 ![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 9.05/9.24 inference(skolemize,[status(sab)],[67])).
% 9.05/9.24 tff(69,plain,
% 9.05/9.24 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[68, 61])).
% 9.05/9.24 tff(70,plain,
% 9.05/9.24 (((~![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))) | ((~pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1))) | pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1))))) <=> ((~![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))) | (~pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1))) | pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1))))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(71,plain,
% 9.05/9.24 ((~![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))) | ((~pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1))) | pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1))))),
% 9.05/9.24 inference(quant_inst,[status(thm)],[])).
% 9.05/9.24 tff(72,plain,
% 9.05/9.24 ((~![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))) | (~pred_attacker(tuple_2(constr_CONST_1, constr_CONST_1))) | pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[71, 70])).
% 9.05/9.24 tff(73,plain,
% 9.05/9.24 (pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))),
% 9.05/9.24 inference(unit_resolution,[status(thm)],[72, 69, 59])).
% 9.05/9.24 tff(74,plain,
% 9.05/9.24 (pred_attacker(name_B) <=> pred_attacker(name_B)),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(75,axiom,(pred_attacker(name_B)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax163')).
% 9.05/9.24 tff(76,plain,
% 9.05/9.24 (pred_attacker(name_B)),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[75, 74])).
% 9.05/9.24 tff(77,plain,
% 9.05/9.24 (^[VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : refl((pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358))) <=> (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(78,plain,
% 9.05/9.24 (![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358))) <=> ![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[77])).
% 9.05/9.24 tff(79,plain,
% 9.05/9.24 (^[VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359)) <=> (~((~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358))))), ((~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))) <=> (~(~((~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358))))))), rewrite((~(~((~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358))))) <=> ((~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))), ((~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))) <=> ((~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358))))), ((pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359)))) <=> (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | ((~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))))), rewrite((pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | ((~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) <=> (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))), ((pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359)))) <=> (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(80,plain,
% 9.05/9.24 (![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359)))) <=> ![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[79])).
% 9.05/9.24 tff(81,plain,
% 9.05/9.24 (![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359)))) <=> ![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(82,plain,
% 9.05/9.24 (^[VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : trans(monotonicity(rewrite(((pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358)) & pred_attacker(VAR_V_359)) <=> (pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))), ((((pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358)) & pred_attacker(VAR_V_359)) => pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359))) <=> ((pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359)) => pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359))))), rewrite(((pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359)) => pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359))) <=> (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))))), ((((pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358)) & pred_attacker(VAR_V_359)) => pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359))) <=> (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(83,plain,
% 9.05/9.24 (![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (((pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358)) & pred_attacker(VAR_V_359)) => pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359))) <=> ![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[82])).
% 9.05/9.24 tff(84,axiom,(![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (((pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358)) & pred_attacker(VAR_V_359)) => pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax152')).
% 9.05/9.24 tff(85,plain,
% 9.05/9.24 (![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[84, 83])).
% 9.05/9.24 tff(86,plain,
% 9.05/9.24 (![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[85, 81])).
% 9.05/9.24 tff(87,plain,(
% 9.05/9.24 ![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~(pred_attacker(VAR_V_357) & pred_attacker(VAR_V_358) & pred_attacker(VAR_V_359))))),
% 9.05/9.24 inference(skolemize,[status(sab)],[86])).
% 9.05/9.24 tff(88,plain,
% 9.05/9.24 (![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[87, 80])).
% 9.05/9.24 tff(89,plain,
% 9.05/9.24 (![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[88, 78])).
% 9.05/9.24 tff(90,plain,
% 9.05/9.24 (((~![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(name_B)))) <=> ((~![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(name_B)))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(91,plain,
% 9.05/9.24 ((pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(name_B)) | (~pred_attacker(constr_CONST_1))) <=> ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(name_B)))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(92,plain,
% 9.05/9.24 (((~![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) | (pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(name_B)) | (~pred_attacker(constr_CONST_1)))) <=> ((~![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(name_B))))),
% 9.05/9.24 inference(monotonicity,[status(thm)],[91])).
% 9.05/9.24 tff(93,plain,
% 9.05/9.24 (((~![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) | (pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(name_B)) | (~pred_attacker(constr_CONST_1)))) <=> ((~![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(name_B)))),
% 9.05/9.24 inference(transitivity,[status(thm)],[92, 90])).
% 9.05/9.24 tff(94,plain,
% 9.05/9.24 ((~![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) | (pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(name_B)) | (~pred_attacker(constr_CONST_1)))),
% 9.05/9.24 inference(quant_inst,[status(thm)],[])).
% 9.05/9.24 tff(95,plain,
% 9.05/9.24 ((~![VAR_V_357: $i, VAR_V_358: $i, VAR_V_359: $i] : (pred_attacker(tuple_3(VAR_V_357, VAR_V_358, VAR_V_359)) | (~pred_attacker(VAR_V_359)) | (~pred_attacker(VAR_V_357)) | (~pred_attacker(VAR_V_358)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1)) | (~pred_attacker(name_B))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[94, 93])).
% 9.05/9.24 tff(96,plain,
% 9.05/9.24 (pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1))),
% 9.05/9.24 inference(unit_resolution,[status(thm)],[95, 52, 89, 76])).
% 9.05/9.24 tff(97,plain,
% 9.05/9.24 (^[VAR_V_229: $i] : refl(((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(98,plain,
% 9.05/9.24 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[97])).
% 9.05/9.24 tff(99,plain,
% 9.05/9.24 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(100,plain,
% 9.05/9.24 (^[VAR_V_229: $i] : rewrite((pred_attacker(VAR_V_229) => pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(101,plain,
% 9.05/9.24 (![VAR_V_229: $i] : (pred_attacker(VAR_V_229) => pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[100])).
% 9.05/9.24 tff(102,axiom,(![VAR_V_229: $i] : (pred_attacker(VAR_V_229) => pred_attacker(tuple_client_A_in_6(VAR_V_229)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax122')).
% 9.05/9.24 tff(103,plain,
% 9.05/9.24 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[102, 101])).
% 9.05/9.24 tff(104,plain,
% 9.05/9.24 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[103, 99])).
% 9.05/9.24 tff(105,plain,(
% 9.05/9.24 ![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 9.05/9.24 inference(skolemize,[status(sab)],[104])).
% 9.05/9.24 tff(106,plain,
% 9.05/9.24 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[105, 98])).
% 9.05/9.24 tff(107,plain,
% 9.05/9.24 (((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | ((~pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1))) | pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1))))) <=> ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | (~pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1))) | pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1))))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(108,plain,
% 9.05/9.24 ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | ((~pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1))) | pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1))))),
% 9.05/9.24 inference(quant_inst,[status(thm)],[])).
% 9.05/9.24 tff(109,plain,
% 9.05/9.24 ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | (~pred_attacker(tuple_3(name_B, constr_CONST_1, constr_CONST_1))) | pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[108, 107])).
% 9.05/9.24 tff(110,plain,
% 9.05/9.24 (pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))),
% 9.05/9.24 inference(unit_resolution,[status(thm)],[109, 106, 96])).
% 9.05/9.24 tff(111,plain,
% 9.05/9.24 (^[VAR_V_223: $i] : refl(((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(112,plain,
% 9.05/9.24 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[111])).
% 9.05/9.24 tff(113,plain,
% 9.05/9.24 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(114,plain,
% 9.05/9.24 (^[VAR_V_223: $i] : rewrite((pred_attacker(VAR_V_223) => pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(115,plain,
% 9.05/9.24 (![VAR_V_223: $i] : (pred_attacker(VAR_V_223) => pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[114])).
% 9.05/9.24 tff(116,axiom,(![VAR_V_223: $i] : (pred_attacker(VAR_V_223) => pred_attacker(tuple_client_A_in_8(VAR_V_223)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax120')).
% 9.05/9.24 tff(117,plain,
% 9.05/9.24 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[116, 115])).
% 9.05/9.24 tff(118,plain,
% 9.05/9.24 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[117, 113])).
% 9.05/9.24 tff(119,plain,(
% 9.05/9.24 ![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 9.05/9.24 inference(skolemize,[status(sab)],[118])).
% 9.05/9.24 tff(120,plain,
% 9.05/9.24 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[119, 112])).
% 9.05/9.24 tff(121,plain,
% 9.05/9.24 (((~![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))) | ((~pred_attacker(name_B)) | pred_attacker(tuple_client_A_in_8(name_B)))) <=> ((~![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))) | (~pred_attacker(name_B)) | pred_attacker(tuple_client_A_in_8(name_B)))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(122,plain,
% 9.05/9.24 ((~![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))) | ((~pred_attacker(name_B)) | pred_attacker(tuple_client_A_in_8(name_B)))),
% 9.05/9.24 inference(quant_inst,[status(thm)],[])).
% 9.05/9.24 tff(123,plain,
% 9.05/9.24 ((~![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))) | (~pred_attacker(name_B)) | pred_attacker(tuple_client_A_in_8(name_B))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[122, 121])).
% 9.05/9.24 tff(124,plain,
% 9.05/9.24 (pred_attacker(tuple_client_A_in_8(name_B))),
% 9.05/9.24 inference(unit_resolution,[status(thm)],[123, 120, 76])).
% 9.05/9.24 tff(125,plain,
% 9.05/9.24 ((~pred_attacker(name_objective)) <=> (~pred_attacker(name_objective))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(126,axiom,(~pred_attacker(name_objective)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co0')).
% 9.05/9.24 tff(127,plain,
% 9.05/9.24 (~pred_attacker(name_objective)),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[126, 125])).
% 9.05/9.24 tff(128,plain,
% 9.05/9.24 (^[VAR_V_172: $i] : refl((pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))) <=> (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(129,plain,
% 9.05/9.24 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))) <=> ![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[128])).
% 9.05/9.24 tff(130,plain,
% 9.05/9.24 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))) <=> ![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(131,plain,
% 9.05/9.24 (^[VAR_V_172: $i] : rewrite((pred_attacker(tuple_client_A_out_9(VAR_V_172)) => pred_attacker(VAR_V_172)) <=> (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(132,plain,
% 9.05/9.24 (![VAR_V_172: $i] : (pred_attacker(tuple_client_A_out_9(VAR_V_172)) => pred_attacker(VAR_V_172)) <=> ![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[131])).
% 9.05/9.24 tff(133,axiom,(![VAR_V_172: $i] : (pred_attacker(tuple_client_A_out_9(VAR_V_172)) => pred_attacker(VAR_V_172))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax109')).
% 9.05/9.24 tff(134,plain,
% 9.05/9.24 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[133, 132])).
% 9.05/9.24 tff(135,plain,
% 9.05/9.24 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[134, 130])).
% 9.05/9.24 tff(136,plain,(
% 9.05/9.24 ![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 9.05/9.24 inference(skolemize,[status(sab)],[135])).
% 9.05/9.24 tff(137,plain,
% 9.05/9.24 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[136, 129])).
% 9.05/9.24 tff(138,plain,
% 9.05/9.24 (((~![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_client_A_out_9(name_objective))))) <=> ((~![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_A_out_9(name_objective))))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(139,plain,
% 9.05/9.24 ((~![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_client_A_out_9(name_objective))))),
% 9.05/9.24 inference(quant_inst,[status(thm)],[])).
% 9.05/9.24 tff(140,plain,
% 9.05/9.24 ((~![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_A_out_9(name_objective)))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[139, 138])).
% 9.05/9.24 tff(141,plain,
% 9.05/9.24 (~pred_attacker(tuple_client_A_out_9(name_objective))),
% 9.05/9.24 inference(unit_resolution,[status(thm)],[140, 137, 127])).
% 9.05/9.24 tff(142,plain,
% 9.05/9.24 (^[VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : refl((pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(143,plain,
% 9.05/9.24 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))) <=> ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[142])).
% 9.05/9.24 tff(144,plain,
% 9.05/9.24 (^[VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) <=> (~((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))), ((~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))) <=> (~(~((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))))), rewrite((~(~((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))) <=> ((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))), ((~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))) <=> ((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))), ((pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | ((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))))), rewrite((pred_attacker(tuple_client_A_out_9(name_objective)) | ((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))), ((pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(145,plain,
% 9.05/9.24 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[144])).
% 9.05/9.24 tff(146,plain,
% 9.05/9.24 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 9.05/9.24 inference(rewrite,[status(thm)],[])).
% 9.05/9.24 tff(147,plain,
% 9.05/9.24 (^[VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))), ((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)))), ((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))))), (((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)))), (((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))))), ((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))))), ((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))))), (((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))))), (((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))))), ((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))), ((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))), (((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))), (((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))))),
% 9.05/9.24 inference(bind,[status(th)],[])).
% 9.05/9.24 tff(148,plain,
% 9.05/9.24 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : ((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))) <=> ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 9.05/9.24 inference(quant_intro,[status(thm)],[147])).
% 9.05/9.24 tff(149,axiom,(![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : ((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax171')).
% 9.05/9.24 tff(150,plain,
% 9.05/9.24 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[149, 148])).
% 9.05/9.24 tff(151,plain,
% 9.05/9.24 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 9.05/9.24 inference(modus_ponens,[status(thm)],[150, 146])).
% 9.05/9.24 tff(152,plain,(
% 9.05/9.24 ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 9.05/9.24 inference(skolemize,[status(sab)],[151])).
% 9.05/9.24 tff(153,plain,
% 9.05/9.24 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))),
% 9.05/9.25 inference(modus_ponens,[status(thm)],[152, 145])).
% 9.05/9.25 tff(154,plain,
% 9.05/9.25 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))),
% 9.05/9.25 inference(modus_ponens,[status(thm)],[153, 143])).
% 9.05/9.25 tff(155,plain,
% 9.05/9.25 (((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))))) <=> ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))))),
% 9.05/9.25 inference(rewrite,[status(thm)],[])).
% 9.05/9.25 tff(156,plain,
% 9.05/9.25 ((pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true)))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))))),
% 9.05/9.25 inference(rewrite,[status(thm)],[])).
% 9.05/9.25 tff(157,plain,
% 9.05/9.25 (((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))))) <=> ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))))),
% 9.05/9.25 inference(monotonicity,[status(thm)],[156])).
% 9.05/9.25 tff(158,plain,
% 9.05/9.25 (((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))))) <=> ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))))),
% 9.05/9.25 inference(transitivity,[status(thm)],[157, 155])).
% 9.05/9.25 tff(159,plain,
% 9.05/9.25 ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))))),
% 9.05/9.25 inference(quant_inst,[status(thm)],[])).
% 9.05/9.25 tff(160,plain,
% 9.05/9.25 ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_4(tuple_2(constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_3(name_B, constr_CONST_1, constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_true))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(name_B))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))),
% 9.05/9.26 inference(modus_ponens,[status(thm)],[159, 158])).
% 9.05/9.26 tff(161,plain,
% 9.05/9.26 ((~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A)), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))),
% 9.05/9.26 inference(unit_resolution,[status(thm)],[160, 154, 141, 124, 110, 73, 36])).
% 9.05/9.26 tff(162,plain,
% 9.05/9.26 ((~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_true, name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_2(constr_CONST_1, constr_CONST_1), tuple_true, tuple_4(constr_CONST_1, constr_CONST_1, constr_CONST_1, name_A))), constr_cbc_dec_1(name_B, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas))))),
% 9.05/9.26 inference(unit_resolution,[status(thm)],[161, 19])).
% 9.05/9.26 tff(163,plain,
% 9.05/9.26 (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))),
% 9.05/9.26 inference(unit_resolution,[status(thm)],[162, 15, 11])).
% 9.05/9.26 tff(164,plain,
% 9.05/9.26 ((~![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)) | pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_3(name_B, constr_CONST_1, constr_CONST_1), name_Kas)))),
% 9.05/9.26 inference(quant_inst,[status(thm)],[])).
% 9.05/9.26 tff(165,plain,
% 9.05/9.26 ($false),
% 9.05/9.26 inference(unit_resolution,[status(thm)],[164, 8, 163])).
% 9.05/9.26 % SZS output end Proof
% 9.05/9.26 % E exiting
%------------------------------------------------------------------------------