%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW959+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:37:43 AM UTC 2025
% Result : Theorem 2.54s 2.71s
% Output : Proof 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW959+1 : TPTP v9.0.0. Released v7.4.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 20 12:15:46 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.54/2.71 % SZS status Theorem
% 2.54/2.71 % SZS output start Proof
% 2.54/2.71 tff(pred_eq_bitstring_bitstring_type, type, (
% 2.54/2.71 pred_eq_bitstring_bitstring: ( $i * $i ) > $o)).
% 2.54/2.71 tff(constr_tuple_2_get_1_type, type, (
% 2.54/2.71 constr_tuple_2_get_1: $i > $i)).
% 2.54/2.71 tff(constr_adec_type, type, (
% 2.54/2.71 constr_adec: ( $i * $i ) > $i)).
% 2.54/2.71 tff(name_skB_type, type, (
% 2.54/2.71 name_skB: $i)).
% 2.54/2.71 tff(name_c_type, type, (
% 2.54/2.71 name_c: $i)).
% 2.54/2.71 tff(name_A_type, type, (
% 2.54/2.71 name_A: $i)).
% 2.54/2.71 tff(constr_tuple_2_get_0x30_type, type, (
% 2.54/2.71 constr_tuple_2_get_0x30: $i > $i)).
% 2.54/2.71 tff(constr_checksign_type, type, (
% 2.54/2.71 constr_checksign: ( $i * $i ) > $i)).
% 2.54/2.71 tff(constr_pkey_type, type, (
% 2.54/2.71 constr_pkey: $i > $i)).
% 2.54/2.71 tff(name_skS_type, type, (
% 2.54/2.71 name_skS: $i)).
% 2.54/2.71 tff(tuple_out_2_type, type, (
% 2.54/2.71 tuple_out_2: $i > $i)).
% 2.54/2.71 tff(constr_CONST_1_type, type, (
% 2.54/2.71 constr_CONST_1: $i)).
% 2.54/2.71 tff(name_Nb_type, type, (
% 2.54/2.71 name_Nb: $i > $i)).
% 2.54/2.71 tff(tuple_true_type, type, (
% 2.54/2.71 tuple_true: $i)).
% 2.54/2.71 tff(pred_attacker_type, type, (
% 2.54/2.71 pred_attacker: $i > $o)).
% 2.54/2.71 tff(tuple_client_B_in_2_type, type, (
% 2.54/2.71 tuple_client_B_in_2: $i > $i)).
% 2.54/2.71 tff(tuple_client_B_in_3_type, type, (
% 2.54/2.71 tuple_client_B_in_3: $i > $i)).
% 2.54/2.71 tff(tuple_client_B_in_5_type, type, (
% 2.54/2.71 tuple_client_B_in_5: $i > $i)).
% 2.54/2.71 tff(tuple_client_B_out_6_type, type, (
% 2.54/2.71 tuple_client_B_out_6: $i > $i)).
% 2.54/2.71 tff(name_objective_type, type, (
% 2.54/2.71 name_objective: $i)).
% 2.54/2.71 tff(1,assumption,(~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))), introduced(assumption)).
% 2.54/2.71 tff(2,plain,
% 2.54/2.71 (^[VAR_X_35: $i, VAR_Y_36: $i] : refl(pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36) <=> pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(3,plain,
% 2.54/2.71 (![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36) <=> ![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)),
% 2.54/2.71 inference(quant_intro,[status(thm)],[2])).
% 2.54/2.71 tff(4,plain,
% 2.54/2.71 (![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36) <=> ![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(5,axiom,(![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax86')).
% 2.54/2.71 tff(6,plain,
% 2.54/2.71 (![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[5, 4])).
% 2.54/2.71 tff(7,plain,(
% 2.54/2.71 ![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)),
% 2.54/2.71 inference(skolemize,[status(sab)],[6])).
% 2.54/2.71 tff(8,plain,
% 2.54/2.71 (![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[7, 3])).
% 2.54/2.71 tff(9,plain,
% 2.54/2.71 ((~![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)) | pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(10,plain,
% 2.54/2.71 ($false),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 2.54/2.71 tff(11,plain,(pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.71 tff(12,assumption,(~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))), introduced(assumption)).
% 2.54/2.71 tff(13,plain,
% 2.54/2.71 ((~![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)) | pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(14,plain,
% 2.54/2.71 ($false),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[13, 8, 12])).
% 2.54/2.71 tff(15,plain,(pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))), inference(lemma,lemma(discharge,[]))).
% 2.54/2.71 tff(16,plain,
% 2.54/2.71 (pred_attacker(tuple_out_2(constr_pkey(name_skB))) <=> pred_attacker(tuple_out_2(constr_pkey(name_skB)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(17,axiom,(pred_attacker(tuple_out_2(constr_pkey(name_skB)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax158')).
% 2.54/2.71 tff(18,plain,
% 2.54/2.71 (pred_attacker(tuple_out_2(constr_pkey(name_skB)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[17, 16])).
% 2.54/2.71 tff(19,plain,
% 2.54/2.71 (^[VAR_V_163: $i] : refl(((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163))) <=> ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(20,plain,
% 2.54/2.71 (![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163))) <=> ![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[19])).
% 2.54/2.71 tff(21,plain,
% 2.54/2.71 (![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163))) <=> ![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(22,plain,
% 2.54/2.71 (^[VAR_V_163: $i] : rewrite((pred_attacker(VAR_V_163) => pred_attacker(tuple_client_B_in_2(VAR_V_163))) <=> ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(23,plain,
% 2.54/2.71 (![VAR_V_163: $i] : (pred_attacker(VAR_V_163) => pred_attacker(tuple_client_B_in_2(VAR_V_163))) <=> ![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[22])).
% 2.54/2.71 tff(24,axiom,(![VAR_V_163: $i] : (pred_attacker(VAR_V_163) => pred_attacker(tuple_client_B_in_2(VAR_V_163)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax123')).
% 2.54/2.71 tff(25,plain,
% 2.54/2.71 (![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[24, 23])).
% 2.54/2.71 tff(26,plain,
% 2.54/2.71 (![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[25, 21])).
% 2.54/2.71 tff(27,plain,(
% 2.54/2.71 ![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 2.54/2.71 inference(skolemize,[status(sab)],[26])).
% 2.54/2.71 tff(28,plain,
% 2.54/2.71 (![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[27, 20])).
% 2.54/2.71 tff(29,plain,
% 2.54/2.71 (((~![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))) | ((~pred_attacker(tuple_out_2(constr_pkey(name_skB)))) | pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB)))))) <=> ((~![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))) | (~pred_attacker(tuple_out_2(constr_pkey(name_skB)))) | pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB)))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(30,plain,
% 2.54/2.71 ((~![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))) | ((~pred_attacker(tuple_out_2(constr_pkey(name_skB)))) | pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB)))))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(31,plain,
% 2.54/2.71 ((~![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))) | (~pred_attacker(tuple_out_2(constr_pkey(name_skB)))) | pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[30, 29])).
% 2.54/2.71 tff(32,plain,
% 2.54/2.71 (pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[31, 28, 18])).
% 2.54/2.71 tff(33,plain,
% 2.54/2.71 (pred_attacker(name_c) <=> pred_attacker(name_c)),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(34,axiom,(pred_attacker(name_c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax149')).
% 2.54/2.71 tff(35,plain,
% 2.54/2.71 (pred_attacker(name_c)),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[34, 33])).
% 2.54/2.71 tff(36,plain,
% 2.54/2.71 (^[VAR_V_157: $i] : refl(((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157))) <=> ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(37,plain,
% 2.54/2.71 (![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157))) <=> ![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[36])).
% 2.54/2.71 tff(38,plain,
% 2.54/2.71 (![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157))) <=> ![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(39,plain,
% 2.54/2.71 (^[VAR_V_157: $i] : rewrite((pred_attacker(VAR_V_157) => pred_attacker(tuple_client_B_in_3(VAR_V_157))) <=> ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(40,plain,
% 2.54/2.71 (![VAR_V_157: $i] : (pred_attacker(VAR_V_157) => pred_attacker(tuple_client_B_in_3(VAR_V_157))) <=> ![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[39])).
% 2.54/2.71 tff(41,axiom,(![VAR_V_157: $i] : (pred_attacker(VAR_V_157) => pred_attacker(tuple_client_B_in_3(VAR_V_157)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax121')).
% 2.54/2.71 tff(42,plain,
% 2.54/2.71 (![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[41, 40])).
% 2.54/2.71 tff(43,plain,
% 2.54/2.71 (![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[42, 38])).
% 2.54/2.71 tff(44,plain,(
% 2.54/2.71 ![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 2.54/2.71 inference(skolemize,[status(sab)],[43])).
% 2.54/2.71 tff(45,plain,
% 2.54/2.71 (![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[44, 37])).
% 2.54/2.71 tff(46,plain,
% 2.54/2.71 (((~![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))) | ((~pred_attacker(name_c)) | pred_attacker(tuple_client_B_in_3(name_c)))) <=> ((~![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))) | (~pred_attacker(name_c)) | pred_attacker(tuple_client_B_in_3(name_c)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(47,plain,
% 2.54/2.71 ((~![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))) | ((~pred_attacker(name_c)) | pred_attacker(tuple_client_B_in_3(name_c)))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(48,plain,
% 2.54/2.71 ((~![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))) | (~pred_attacker(name_c)) | pred_attacker(tuple_client_B_in_3(name_c))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[47, 46])).
% 2.54/2.71 tff(49,plain,
% 2.54/2.71 (pred_attacker(tuple_client_B_in_3(name_c))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[48, 45, 35])).
% 2.54/2.71 tff(50,plain,
% 2.54/2.71 (pred_attacker(constr_CONST_1) <=> pred_attacker(constr_CONST_1)),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(51,axiom,(pred_attacker(constr_CONST_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax142')).
% 2.54/2.71 tff(52,plain,
% 2.54/2.71 (pred_attacker(constr_CONST_1)),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[51, 50])).
% 2.54/2.71 tff(53,plain,
% 2.54/2.71 (^[VAR_V_54: $i] : refl(((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54))) <=> ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(54,plain,
% 2.54/2.71 (![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54))) <=> ![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[53])).
% 2.54/2.71 tff(55,plain,
% 2.54/2.71 (![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54))) <=> ![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(56,plain,
% 2.54/2.71 (^[VAR_V_54: $i] : rewrite((pred_attacker(VAR_V_54) => pred_attacker(constr_pkey(VAR_V_54))) <=> ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(57,plain,
% 2.54/2.71 (![VAR_V_54: $i] : (pred_attacker(VAR_V_54) => pred_attacker(constr_pkey(VAR_V_54))) <=> ![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[56])).
% 2.54/2.71 tff(58,axiom,(![VAR_V_54: $i] : (pred_attacker(VAR_V_54) => pred_attacker(constr_pkey(VAR_V_54)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax93')).
% 2.54/2.71 tff(59,plain,
% 2.54/2.71 (![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[58, 57])).
% 2.54/2.71 tff(60,plain,
% 2.54/2.71 (![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[59, 55])).
% 2.54/2.71 tff(61,plain,(
% 2.54/2.71 ![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))),
% 2.54/2.71 inference(skolemize,[status(sab)],[60])).
% 2.54/2.71 tff(62,plain,
% 2.54/2.71 (![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[61, 54])).
% 2.54/2.71 tff(63,plain,
% 2.54/2.71 (((~![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(constr_pkey(constr_CONST_1)))) <=> ((~![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(constr_pkey(constr_CONST_1)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(64,plain,
% 2.54/2.71 ((~![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(constr_pkey(constr_CONST_1)))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(65,plain,
% 2.54/2.71 ((~![VAR_V_54: $i] : ((~pred_attacker(VAR_V_54)) | pred_attacker(constr_pkey(VAR_V_54)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(constr_pkey(constr_CONST_1))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[64, 63])).
% 2.54/2.71 tff(66,plain,
% 2.54/2.71 (pred_attacker(constr_pkey(constr_CONST_1))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[65, 62, 52])).
% 2.54/2.71 tff(67,plain,
% 2.54/2.71 (^[VAR_V_151: $i] : refl(((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151))) <=> ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(68,plain,
% 2.54/2.71 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151))) <=> ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[67])).
% 2.54/2.71 tff(69,plain,
% 2.54/2.71 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151))) <=> ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(70,plain,
% 2.54/2.71 (^[VAR_V_151: $i] : rewrite((pred_attacker(VAR_V_151) => pred_attacker(tuple_client_B_in_5(VAR_V_151))) <=> ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(71,plain,
% 2.54/2.71 (![VAR_V_151: $i] : (pred_attacker(VAR_V_151) => pred_attacker(tuple_client_B_in_5(VAR_V_151))) <=> ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[70])).
% 2.54/2.71 tff(72,axiom,(![VAR_V_151: $i] : (pred_attacker(VAR_V_151) => pred_attacker(tuple_client_B_in_5(VAR_V_151)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax119')).
% 2.54/2.71 tff(73,plain,
% 2.54/2.71 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[72, 71])).
% 2.54/2.71 tff(74,plain,
% 2.54/2.71 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[73, 69])).
% 2.54/2.71 tff(75,plain,(
% 2.54/2.71 ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 2.54/2.71 inference(skolemize,[status(sab)],[74])).
% 2.54/2.71 tff(76,plain,
% 2.54/2.71 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[75, 68])).
% 2.54/2.71 tff(77,plain,
% 2.54/2.71 (((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))) | ((~pred_attacker(constr_pkey(constr_CONST_1))) | pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1))))) <=> ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))) | (~pred_attacker(constr_pkey(constr_CONST_1))) | pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(78,plain,
% 2.54/2.71 ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))) | ((~pred_attacker(constr_pkey(constr_CONST_1))) | pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1))))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(79,plain,
% 2.54/2.71 ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))) | (~pred_attacker(constr_pkey(constr_CONST_1))) | pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[78, 77])).
% 2.54/2.71 tff(80,plain,
% 2.54/2.71 (pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[79, 76, 66])).
% 2.54/2.71 tff(81,plain,
% 2.54/2.71 ((~pred_attacker(name_objective)) <=> (~pred_attacker(name_objective))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(82,axiom,(~pred_attacker(name_objective)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co0')).
% 2.54/2.71 tff(83,plain,
% 2.54/2.71 (~pred_attacker(name_objective)),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[82, 81])).
% 2.54/2.71 tff(84,plain,
% 2.54/2.71 (^[VAR_V_126: $i] : refl((pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126)))) <=> (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126)))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(85,plain,
% 2.54/2.71 (![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126)))) <=> ![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[84])).
% 2.54/2.71 tff(86,plain,
% 2.54/2.71 (![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126)))) <=> ![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(87,plain,
% 2.54/2.71 (^[VAR_V_126: $i] : rewrite((pred_attacker(tuple_client_B_out_6(VAR_V_126)) => pred_attacker(VAR_V_126)) <=> (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126)))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(88,plain,
% 2.54/2.71 (![VAR_V_126: $i] : (pred_attacker(tuple_client_B_out_6(VAR_V_126)) => pred_attacker(VAR_V_126)) <=> ![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[87])).
% 2.54/2.71 tff(89,axiom,(![VAR_V_126: $i] : (pred_attacker(tuple_client_B_out_6(VAR_V_126)) => pred_attacker(VAR_V_126))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax113')).
% 2.54/2.71 tff(90,plain,
% 2.54/2.71 (![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[89, 88])).
% 2.54/2.71 tff(91,plain,
% 2.54/2.71 (![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[90, 86])).
% 2.54/2.71 tff(92,plain,(
% 2.54/2.71 ![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 2.54/2.71 inference(skolemize,[status(sab)],[91])).
% 2.54/2.71 tff(93,plain,
% 2.54/2.71 (![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[92, 85])).
% 2.54/2.71 tff(94,plain,
% 2.54/2.71 (((~![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective))))) <=> ((~![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(95,plain,
% 2.54/2.71 ((~![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective))))),
% 2.54/2.71 inference(quant_inst,[status(thm)],[])).
% 2.54/2.71 tff(96,plain,
% 2.54/2.71 ((~![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective)))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[95, 94])).
% 2.54/2.71 tff(97,plain,
% 2.54/2.71 (~pred_attacker(tuple_client_B_out_6(name_objective))),
% 2.54/2.71 inference(unit_resolution,[status(thm)],[96, 93, 83])).
% 2.54/2.71 tff(98,plain,
% 2.54/2.71 (^[VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : refl((pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(99,plain,
% 2.54/2.71 (![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)))) <=> ![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[98])).
% 2.54/2.71 tff(100,plain,
% 2.54/2.71 (^[VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) <=> (~((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)))))), ((~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))) <=> (~(~((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)))))))), rewrite((~(~((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)))))) <=> ((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))), ((~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))) <=> ((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)))))), ((pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | ((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))))), rewrite((pred_attacker(tuple_client_B_out_6(name_objective)) | ((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))), ((pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(101,plain,
% 2.54/2.71 (![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))))) <=> ![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[100])).
% 2.54/2.71 tff(102,plain,
% 2.54/2.71 (![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))))) <=> ![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(103,plain,
% 2.54/2.71 (^[VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))))), ((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) <=> ((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))), rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)))), ((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))), (((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) <=> ((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))))), rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))))), (((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))))), ((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) <=> ((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))))), rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))), ((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))))), (((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) => pred_attacker(tuple_client_B_out_6(name_objective))) <=> ((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) => pred_attacker(tuple_client_B_out_6(name_objective))))), rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) => pred_attacker(tuple_client_B_out_6(name_objective))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))))), (((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) => pred_attacker(tuple_client_B_out_6(name_objective))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))))))),
% 2.54/2.71 inference(bind,[status(th)],[])).
% 2.54/2.71 tff(104,plain,
% 2.54/2.71 (![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : ((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) => pred_attacker(tuple_client_B_out_6(name_objective))) <=> ![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))))),
% 2.54/2.71 inference(quant_intro,[status(thm)],[103])).
% 2.54/2.71 tff(105,axiom,(![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : ((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) => pred_attacker(tuple_client_B_out_6(name_objective)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax165')).
% 2.54/2.71 tff(106,plain,
% 2.54/2.71 (![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[105, 104])).
% 2.54/2.71 tff(107,plain,
% 2.54/2.71 (![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[106, 102])).
% 2.54/2.71 tff(108,plain,(
% 2.54/2.71 ![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548)))))),
% 2.54/2.71 inference(skolemize,[status(sab)],[107])).
% 2.54/2.71 tff(109,plain,
% 2.54/2.71 (![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[108, 101])).
% 2.54/2.71 tff(110,plain,
% 2.54/2.71 (![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))),
% 2.54/2.71 inference(modus_ponens,[status(thm)],[109, 99])).
% 2.54/2.71 tff(111,plain,
% 2.54/2.71 (((~![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_3(name_c))))) <=> ((~![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) | pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_3(name_c))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(112,plain,
% 2.54/2.71 ((pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(name_c)))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_3(name_c))))),
% 2.54/2.71 inference(rewrite,[status(thm)],[])).
% 2.54/2.71 tff(113,plain,
% 2.54/2.71 (((~![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(name_c))))) <=> ((~![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_3(name_c)))))),
% 2.54/2.71 inference(monotonicity,[status(thm)],[112])).
% 2.54/2.71 tff(114,plain,
% 2.54/2.71 (((~![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(name_c))))) <=> ((~![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) | pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_3(name_c))))),
% 2.54/2.71 inference(transitivity,[status(thm)],[113, 111])).
% 2.54/2.71 tff(115,plain,
% 2.54/2.71 ((~![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(name_c))))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(116,plain,
% 2.54/2.72 ((~![VAR_0X40SID_545: $i, VAR_AENC_NA_A_547: $i, VAR_AENC_NB_546: $i, VAR_SIGN_A_PKA_548: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_548))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_548, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_545), constr_adec(VAR_AENC_NB_546, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_546))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_547, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_547))))) | pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))) | (~pred_attacker(tuple_client_B_in_2(tuple_out_2(constr_pkey(name_skB))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_true), constr_adec(constr_pkey(constr_CONST_1), name_skB))) | (~pred_attacker(tuple_client_B_in_3(name_c)))),
% 2.54/2.72 inference(modus_ponens,[status(thm)],[115, 114])).
% 2.54/2.72 tff(117,plain,
% 2.54/2.72 ((~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(tuple_out_2(constr_pkey(name_skB)), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB))))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[116, 110, 97, 80, 49, 32, 15])).
% 2.54/2.72 tff(118,plain,
% 2.54/2.72 (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[117, 11])).
% 2.54/2.72 tff(119,plain,
% 2.54/2.72 ((~![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)) | pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(name_c, name_skB)))),
% 2.54/2.72 inference(quant_inst,[status(thm)],[])).
% 2.54/2.72 tff(120,plain,
% 2.54/2.72 ($false),
% 2.54/2.72 inference(unit_resolution,[status(thm)],[119, 8, 118])).
% 2.54/2.72 % SZS output end Proof
% 2.54/2.72 % E exiting
%------------------------------------------------------------------------------