%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW965+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 16.73s 16.89s
% Output : Proof 16.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW965+1 : TPTP v9.0.0. Released v7.4.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 12:13:54 EDT 2025
% 0.12/0.33 % CPUTime :
% 16.73/16.89 % SZS status Theorem
% 16.73/16.89 % SZS output start Proof
% 16.73/16.89 tff(pred_eq_bitstring_bitstring_type, type, (
% 16.73/16.89 pred_eq_bitstring_bitstring: ( $i * $i ) > $o)).
% 16.73/16.89 tff(constr_adec_type, type, (
% 16.73/16.89 constr_adec: ( $i * $i ) > $i)).
% 16.73/16.89 tff(name_skB_type, type, (
% 16.73/16.89 name_skB: $i)).
% 16.73/16.89 tff(tuple_client_A_out_1_type, type, (
% 16.73/16.89 tuple_client_A_out_1: ( $i * $i ) > $i)).
% 16.73/16.89 tff(name_I_type, type, (
% 16.73/16.89 name_I: $i)).
% 16.73/16.89 tff(name_A_type, type, (
% 16.73/16.89 name_A: $i)).
% 16.73/16.89 tff(name_Nb_type, type, (
% 16.73/16.89 name_Nb: $i > $i)).
% 16.73/16.89 tff(constr_CONST_1_type, type, (
% 16.73/16.89 constr_CONST_1: $i)).
% 16.73/16.89 tff(constr_tuple_2_get_1_type, type, (
% 16.73/16.89 constr_tuple_2_get_1: $i > $i)).
% 16.73/16.89 tff(constr_enc_type, type, (
% 16.73/16.89 constr_enc: ( $i * $i ) > $i)).
% 16.73/16.89 tff(tuple_false_type, type, (
% 16.73/16.89 tuple_false: $i)).
% 16.73/16.89 tff(constr_tuple_2_get_0x30_type, type, (
% 16.73/16.89 constr_tuple_2_get_0x30: $i > $i)).
% 16.73/16.89 tff(constr_checksign_type, type, (
% 16.73/16.89 constr_checksign: ( $i * $i ) > $i)).
% 16.73/16.89 tff(constr_pkey_type, type, (
% 16.73/16.89 constr_pkey: $i > $i)).
% 16.73/16.89 tff(name_skS_type, type, (
% 16.73/16.89 name_skS: $i)).
% 16.73/16.89 tff(pred_attacker_type, type, (
% 16.73/16.89 pred_attacker: $i > $o)).
% 16.73/16.89 tff(tuple_client_B_in_2_type, type, (
% 16.73/16.89 tuple_client_B_in_2: $i > $i)).
% 16.73/16.89 tff(tuple_out_2_type, type, (
% 16.73/16.89 tuple_out_2: $i > $i)).
% 16.73/16.89 tff(tuple_client_B_in_3_type, type, (
% 16.73/16.89 tuple_client_B_in_3: $i > $i)).
% 16.73/16.89 tff(tuple_client_B_in_5_type, type, (
% 16.73/16.89 tuple_client_B_in_5: $i > $i)).
% 16.73/16.89 tff(tuple_client_B_out_6_type, type, (
% 16.73/16.89 tuple_client_B_out_6: $i > $i)).
% 16.73/16.89 tff(name_objective_type, type, (
% 16.73/16.89 name_objective: $i)).
% 16.73/16.89 tff(1,assumption,(~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))), introduced(assumption)).
% 16.73/16.89 tff(2,plain,
% 16.73/16.89 (^[VAR_X_41: $i, VAR_Y_42: $i] : refl(pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42) <=> pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(3,plain,
% 16.73/16.89 (![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42) <=> ![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)),
% 16.73/16.89 inference(quant_intro,[status(thm)],[2])).
% 16.73/16.89 tff(4,plain,
% 16.73/16.89 (![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42) <=> ![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(5,axiom,(![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax103')).
% 16.73/16.89 tff(6,plain,
% 16.73/16.89 (![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[5, 4])).
% 16.73/16.89 tff(7,plain,(
% 16.73/16.89 ![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)),
% 16.73/16.89 inference(skolemize,[status(sab)],[6])).
% 16.73/16.89 tff(8,plain,
% 16.73/16.89 (![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[7, 3])).
% 16.73/16.89 tff(9,plain,
% 16.73/16.89 ((~![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)) | pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))),
% 16.73/16.89 inference(quant_inst,[status(thm)],[])).
% 16.73/16.89 tff(10,plain,
% 16.73/16.89 ($false),
% 16.73/16.89 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 16.73/16.89 tff(11,plain,(pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))), inference(lemma,lemma(discharge,[]))).
% 16.73/16.89 tff(12,assumption,(~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))), introduced(assumption)).
% 16.73/16.89 tff(13,plain,
% 16.73/16.89 ((~![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)) | pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))),
% 16.73/16.89 inference(quant_inst,[status(thm)],[])).
% 16.73/16.89 tff(14,plain,
% 16.73/16.89 ($false),
% 16.73/16.89 inference(unit_resolution,[status(thm)],[13, 8, 12])).
% 16.73/16.89 tff(15,plain,(pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))), inference(lemma,lemma(discharge,[]))).
% 16.73/16.89 tff(16,assumption,(~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))), introduced(assumption)).
% 16.73/16.89 tff(17,plain,
% 16.73/16.89 ((~![VAR_X_41: $i, VAR_Y_42: $i] : pred_eq_bitstring_bitstring(VAR_X_41, VAR_Y_42)) | pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))),
% 16.73/16.89 inference(quant_inst,[status(thm)],[])).
% 16.73/16.89 tff(18,plain,
% 16.73/16.89 ($false),
% 16.73/16.89 inference(unit_resolution,[status(thm)],[17, 8, 16])).
% 16.73/16.89 tff(19,plain,(pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))), inference(lemma,lemma(discharge,[]))).
% 16.73/16.89 tff(20,assumption,(~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))), introduced(assumption)).
% 16.73/16.89 tff(21,plain,
% 16.73/16.89 (pred_attacker(tuple_out_2(constr_pkey(name_skB))) <=> pred_attacker(tuple_out_2(constr_pkey(name_skB)))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(22,axiom,(pred_attacker(tuple_out_2(constr_pkey(name_skB)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax177')).
% 16.73/16.89 tff(23,plain,
% 16.73/16.89 (pred_attacker(tuple_out_2(constr_pkey(name_skB)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[22, 21])).
% 16.73/16.89 tff(24,plain,
% 16.73/16.89 (^[VAR_V_75: $i] : refl((pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75)))) <=> (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75)))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(25,plain,
% 16.73/16.89 (![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75)))) <=> ![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[24])).
% 16.73/16.89 tff(26,plain,
% 16.73/16.89 (![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75)))) <=> ![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(27,plain,
% 16.73/16.89 (^[VAR_V_75: $i] : rewrite((pred_attacker(tuple_out_2(VAR_V_75)) => pred_attacker(VAR_V_75)) <=> (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75)))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(28,plain,
% 16.73/16.89 (![VAR_V_75: $i] : (pred_attacker(tuple_out_2(VAR_V_75)) => pred_attacker(VAR_V_75)) <=> ![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[27])).
% 16.73/16.89 tff(29,axiom,(![VAR_V_75: $i] : (pred_attacker(tuple_out_2(VAR_V_75)) => pred_attacker(VAR_V_75))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax115')).
% 16.73/16.89 tff(30,plain,
% 16.73/16.89 (![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[29, 28])).
% 16.73/16.89 tff(31,plain,
% 16.73/16.89 (![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[30, 26])).
% 16.73/16.89 tff(32,plain,(
% 16.73/16.89 ![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))),
% 16.73/16.89 inference(skolemize,[status(sab)],[31])).
% 16.73/16.89 tff(33,plain,
% 16.73/16.89 (![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[32, 25])).
% 16.73/16.89 tff(34,plain,
% 16.73/16.89 (((~![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))) | (pred_attacker(constr_pkey(name_skB)) | (~pred_attacker(tuple_out_2(constr_pkey(name_skB)))))) <=> ((~![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))) | pred_attacker(constr_pkey(name_skB)) | (~pred_attacker(tuple_out_2(constr_pkey(name_skB)))))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(35,plain,
% 16.73/16.89 ((~![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))) | (pred_attacker(constr_pkey(name_skB)) | (~pred_attacker(tuple_out_2(constr_pkey(name_skB)))))),
% 16.73/16.89 inference(quant_inst,[status(thm)],[])).
% 16.73/16.89 tff(36,plain,
% 16.73/16.89 ((~![VAR_V_75: $i] : (pred_attacker(VAR_V_75) | (~pred_attacker(tuple_out_2(VAR_V_75))))) | pred_attacker(constr_pkey(name_skB)) | (~pred_attacker(tuple_out_2(constr_pkey(name_skB))))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[35, 34])).
% 16.73/16.89 tff(37,plain,
% 16.73/16.89 (pred_attacker(constr_pkey(name_skB))),
% 16.73/16.89 inference(unit_resolution,[status(thm)],[36, 33, 23])).
% 16.73/16.89 tff(38,plain,
% 16.73/16.89 (^[VAR_V_173: $i] : refl(((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173))) <=> ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(39,plain,
% 16.73/16.89 (![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173))) <=> ![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[38])).
% 16.73/16.89 tff(40,plain,
% 16.73/16.89 (![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173))) <=> ![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(41,plain,
% 16.73/16.89 (^[VAR_V_173: $i] : rewrite((pred_attacker(VAR_V_173) => pred_attacker(tuple_client_B_in_2(VAR_V_173))) <=> ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(42,plain,
% 16.73/16.89 (![VAR_V_173: $i] : (pred_attacker(VAR_V_173) => pred_attacker(tuple_client_B_in_2(VAR_V_173))) <=> ![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[41])).
% 16.73/16.89 tff(43,axiom,(![VAR_V_173: $i] : (pred_attacker(VAR_V_173) => pred_attacker(tuple_client_B_in_2(VAR_V_173)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax141')).
% 16.73/16.89 tff(44,plain,
% 16.73/16.89 (![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[43, 42])).
% 16.73/16.89 tff(45,plain,
% 16.73/16.89 (![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[44, 40])).
% 16.73/16.89 tff(46,plain,(
% 16.73/16.89 ![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))),
% 16.73/16.89 inference(skolemize,[status(sab)],[45])).
% 16.73/16.89 tff(47,plain,
% 16.73/16.89 (![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[46, 39])).
% 16.73/16.89 tff(48,plain,
% 16.73/16.89 (((~![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))) | ((~pred_attacker(constr_pkey(name_skB))) | pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB))))) <=> ((~![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))) | (~pred_attacker(constr_pkey(name_skB))) | pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB))))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(49,plain,
% 16.73/16.89 ((~![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))) | ((~pred_attacker(constr_pkey(name_skB))) | pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB))))),
% 16.73/16.89 inference(quant_inst,[status(thm)],[])).
% 16.73/16.89 tff(50,plain,
% 16.73/16.89 ((~![VAR_V_173: $i] : ((~pred_attacker(VAR_V_173)) | pred_attacker(tuple_client_B_in_2(VAR_V_173)))) | (~pred_attacker(constr_pkey(name_skB))) | pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[49, 48])).
% 16.73/16.89 tff(51,plain,
% 16.73/16.89 ($false),
% 16.73/16.89 inference(unit_resolution,[status(thm)],[50, 47, 37, 20])).
% 16.73/16.89 tff(52,plain,(pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))), inference(lemma,lemma(discharge,[]))).
% 16.73/16.89 tff(53,plain,
% 16.73/16.89 (pred_attacker(constr_CONST_1) <=> pred_attacker(constr_CONST_1)),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(54,axiom,(pred_attacker(constr_CONST_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax161')).
% 16.73/16.89 tff(55,plain,
% 16.73/16.89 (pred_attacker(constr_CONST_1)),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[54, 53])).
% 16.73/16.89 tff(56,plain,
% 16.73/16.89 (^[VAR_V_126: $i, VAR_V_127: $i] : refl((pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126))) <=> (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(57,plain,
% 16.73/16.89 (![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126))) <=> ![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[56])).
% 16.73/16.89 tff(58,plain,
% 16.73/16.89 (^[VAR_V_126: $i, VAR_V_127: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)) <=> (~((~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126))))), ((~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127))) <=> (~(~((~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126))))))), rewrite((~(~((~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126))))) <=> ((~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))), ((~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127))) <=> ((~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126))))), ((pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)))) <=> (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | ((~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))))), rewrite((pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | ((~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) <=> (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))), ((pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)))) <=> (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(59,plain,
% 16.73/16.89 (![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)))) <=> ![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[58])).
% 16.73/16.89 tff(60,plain,
% 16.73/16.89 (![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)))) <=> ![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127))))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(61,plain,
% 16.73/16.89 (^[VAR_V_126: $i, VAR_V_127: $i] : rewrite(((pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)) => pred_attacker(constr_enc(VAR_V_126, VAR_V_127))) <=> (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(62,plain,
% 16.73/16.89 (![VAR_V_126: $i, VAR_V_127: $i] : ((pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)) => pred_attacker(constr_enc(VAR_V_126, VAR_V_127))) <=> ![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127))))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[61])).
% 16.73/16.89 tff(63,axiom,(![VAR_V_126: $i, VAR_V_127: $i] : ((pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127)) => pred_attacker(constr_enc(VAR_V_126, VAR_V_127)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax128')).
% 16.73/16.89 tff(64,plain,
% 16.73/16.89 (![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127))))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[63, 62])).
% 16.73/16.89 tff(65,plain,
% 16.73/16.89 (![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127))))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[64, 60])).
% 16.73/16.89 tff(66,plain,(
% 16.73/16.89 ![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~(pred_attacker(VAR_V_126) & pred_attacker(VAR_V_127))))),
% 16.73/16.89 inference(skolemize,[status(sab)],[65])).
% 16.73/16.89 tff(67,plain,
% 16.73/16.89 (![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[66, 59])).
% 16.73/16.89 tff(68,plain,
% 16.73/16.89 (![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[67, 57])).
% 16.73/16.89 tff(69,plain,
% 16.73/16.89 (pred_attacker(tuple_false) <=> pred_attacker(tuple_false)),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(70,axiom,(pred_attacker(tuple_false)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax127')).
% 16.73/16.89 tff(71,plain,
% 16.73/16.89 (pred_attacker(tuple_false)),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[70, 69])).
% 16.73/16.89 tff(72,plain,
% 16.73/16.89 (((~![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) | ((~pred_attacker(tuple_false)) | pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)))) <=> ((~![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) | (~pred_attacker(tuple_false)) | pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(73,plain,
% 16.73/16.89 ((pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(tuple_false))) <=> ((~pred_attacker(tuple_false)) | pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(74,plain,
% 16.73/16.89 (((~![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) | (pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(tuple_false)))) <=> ((~![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) | ((~pred_attacker(tuple_false)) | pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1))))),
% 16.73/16.89 inference(monotonicity,[status(thm)],[73])).
% 16.73/16.89 tff(75,plain,
% 16.73/16.89 (((~![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) | (pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(tuple_false)))) <=> ((~![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) | (~pred_attacker(tuple_false)) | pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)))),
% 16.73/16.89 inference(transitivity,[status(thm)],[74, 72])).
% 16.73/16.89 tff(76,plain,
% 16.73/16.89 ((~![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) | (pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1)) | (~pred_attacker(tuple_false)))),
% 16.73/16.89 inference(quant_inst,[status(thm)],[])).
% 16.73/16.89 tff(77,plain,
% 16.73/16.89 ((~![VAR_V_126: $i, VAR_V_127: $i] : (pred_attacker(constr_enc(VAR_V_126, VAR_V_127)) | (~pred_attacker(VAR_V_127)) | (~pred_attacker(VAR_V_126)))) | (~pred_attacker(tuple_false)) | pred_attacker(constr_enc(tuple_false, constr_CONST_1)) | (~pred_attacker(constr_CONST_1))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[76, 75])).
% 16.73/16.89 tff(78,plain,
% 16.73/16.89 (pred_attacker(constr_enc(tuple_false, constr_CONST_1))),
% 16.73/16.89 inference(unit_resolution,[status(thm)],[77, 71, 68, 55])).
% 16.73/16.89 tff(79,plain,
% 16.73/16.89 (^[VAR_V_167: $i] : refl(((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167))) <=> ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(80,plain,
% 16.73/16.89 (![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167))) <=> ![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[79])).
% 16.73/16.89 tff(81,plain,
% 16.73/16.89 (![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167))) <=> ![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(82,plain,
% 16.73/16.89 (^[VAR_V_167: $i] : rewrite((pred_attacker(VAR_V_167) => pred_attacker(tuple_client_B_in_3(VAR_V_167))) <=> ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(83,plain,
% 16.73/16.89 (![VAR_V_167: $i] : (pred_attacker(VAR_V_167) => pred_attacker(tuple_client_B_in_3(VAR_V_167))) <=> ![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[82])).
% 16.73/16.89 tff(84,axiom,(![VAR_V_167: $i] : (pred_attacker(VAR_V_167) => pred_attacker(tuple_client_B_in_3(VAR_V_167)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax139')).
% 16.73/16.89 tff(85,plain,
% 16.73/16.89 (![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[84, 83])).
% 16.73/16.89 tff(86,plain,
% 16.73/16.89 (![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[85, 81])).
% 16.73/16.89 tff(87,plain,(
% 16.73/16.89 ![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))),
% 16.73/16.89 inference(skolemize,[status(sab)],[86])).
% 16.73/16.89 tff(88,plain,
% 16.73/16.89 (![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[87, 80])).
% 16.73/16.89 tff(89,plain,
% 16.73/16.89 (((~![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))) | ((~pred_attacker(constr_enc(tuple_false, constr_CONST_1))) | pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1))))) <=> ((~![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))) | (~pred_attacker(constr_enc(tuple_false, constr_CONST_1))) | pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1))))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(90,plain,
% 16.73/16.89 ((~![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))) | ((~pred_attacker(constr_enc(tuple_false, constr_CONST_1))) | pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1))))),
% 16.73/16.89 inference(quant_inst,[status(thm)],[])).
% 16.73/16.89 tff(91,plain,
% 16.73/16.89 ((~![VAR_V_167: $i] : ((~pred_attacker(VAR_V_167)) | pred_attacker(tuple_client_B_in_3(VAR_V_167)))) | (~pred_attacker(constr_enc(tuple_false, constr_CONST_1))) | pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[90, 89])).
% 16.73/16.89 tff(92,plain,
% 16.73/16.89 (pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))),
% 16.73/16.89 inference(unit_resolution,[status(thm)],[91, 88, 78])).
% 16.73/16.89 tff(93,plain,
% 16.73/16.89 (pred_attacker(tuple_client_A_out_1(name_A, name_I)) <=> pred_attacker(tuple_client_A_out_1(name_A, name_I))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(94,axiom,(pred_attacker(tuple_client_A_out_1(name_A, name_I))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax179')).
% 16.73/16.89 tff(95,plain,
% 16.73/16.89 (pred_attacker(tuple_client_A_out_1(name_A, name_I))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[94, 93])).
% 16.73/16.89 tff(96,plain,
% 16.73/16.89 (^[VAR_V_161: $i] : refl(((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161))) <=> ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(97,plain,
% 16.73/16.89 (![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161))) <=> ![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[96])).
% 16.73/16.89 tff(98,plain,
% 16.73/16.89 (![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161))) <=> ![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(99,plain,
% 16.73/16.89 (^[VAR_V_161: $i] : rewrite((pred_attacker(VAR_V_161) => pred_attacker(tuple_client_B_in_5(VAR_V_161))) <=> ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(100,plain,
% 16.73/16.89 (![VAR_V_161: $i] : (pred_attacker(VAR_V_161) => pred_attacker(tuple_client_B_in_5(VAR_V_161))) <=> ![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[99])).
% 16.73/16.89 tff(101,axiom,(![VAR_V_161: $i] : (pred_attacker(VAR_V_161) => pred_attacker(tuple_client_B_in_5(VAR_V_161)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax137')).
% 16.73/16.89 tff(102,plain,
% 16.73/16.89 (![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[101, 100])).
% 16.73/16.89 tff(103,plain,
% 16.73/16.89 (![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[102, 98])).
% 16.73/16.89 tff(104,plain,(
% 16.73/16.89 ![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))),
% 16.73/16.89 inference(skolemize,[status(sab)],[103])).
% 16.73/16.89 tff(105,plain,
% 16.73/16.89 (![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[104, 97])).
% 16.73/16.89 tff(106,plain,
% 16.73/16.89 (((~![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))) | ((~pred_attacker(tuple_client_A_out_1(name_A, name_I))) | pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I))))) <=> ((~![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))) | (~pred_attacker(tuple_client_A_out_1(name_A, name_I))) | pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I))))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(107,plain,
% 16.73/16.89 ((~![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))) | ((~pred_attacker(tuple_client_A_out_1(name_A, name_I))) | pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I))))),
% 16.73/16.89 inference(quant_inst,[status(thm)],[])).
% 16.73/16.89 tff(108,plain,
% 16.73/16.89 ((~![VAR_V_161: $i] : ((~pred_attacker(VAR_V_161)) | pred_attacker(tuple_client_B_in_5(VAR_V_161)))) | (~pred_attacker(tuple_client_A_out_1(name_A, name_I))) | pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[107, 106])).
% 16.73/16.89 tff(109,plain,
% 16.73/16.89 (pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))),
% 16.73/16.89 inference(unit_resolution,[status(thm)],[108, 105, 95])).
% 16.73/16.89 tff(110,plain,
% 16.73/16.89 ((~pred_attacker(name_objective)) <=> (~pred_attacker(name_objective))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(111,axiom,(~pred_attacker(name_objective)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co0')).
% 16.73/16.89 tff(112,plain,
% 16.73/16.89 (~pred_attacker(name_objective)),
% 16.73/16.89 inference(modus_ponens,[status(thm)],[111, 110])).
% 16.73/16.89 tff(113,plain,
% 16.73/16.89 (^[VAR_V_136: $i] : refl((pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136)))) <=> (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136)))))),
% 16.73/16.89 inference(bind,[status(th)],[])).
% 16.73/16.89 tff(114,plain,
% 16.73/16.89 (![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136)))) <=> ![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))),
% 16.73/16.89 inference(quant_intro,[status(thm)],[113])).
% 16.73/16.89 tff(115,plain,
% 16.73/16.89 (![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136)))) <=> ![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))),
% 16.73/16.89 inference(rewrite,[status(thm)],[])).
% 16.73/16.89 tff(116,plain,
% 16.73/16.90 (^[VAR_V_136: $i] : rewrite((pred_attacker(tuple_client_B_out_6(VAR_V_136)) => pred_attacker(VAR_V_136)) <=> (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136)))))),
% 16.73/16.90 inference(bind,[status(th)],[])).
% 16.73/16.90 tff(117,plain,
% 16.73/16.90 (![VAR_V_136: $i] : (pred_attacker(tuple_client_B_out_6(VAR_V_136)) => pred_attacker(VAR_V_136)) <=> ![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))),
% 16.73/16.90 inference(quant_intro,[status(thm)],[116])).
% 16.73/16.90 tff(118,axiom,(![VAR_V_136: $i] : (pred_attacker(tuple_client_B_out_6(VAR_V_136)) => pred_attacker(VAR_V_136))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax131')).
% 16.73/16.90 tff(119,plain,
% 16.73/16.90 (![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))),
% 16.73/16.90 inference(modus_ponens,[status(thm)],[118, 117])).
% 16.73/16.90 tff(120,plain,
% 16.73/16.90 (![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))),
% 16.73/16.90 inference(modus_ponens,[status(thm)],[119, 115])).
% 16.73/16.90 tff(121,plain,(
% 16.73/16.90 ![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))),
% 16.73/16.90 inference(skolemize,[status(sab)],[120])).
% 16.73/16.90 tff(122,plain,
% 16.73/16.90 (![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))),
% 16.73/16.90 inference(modus_ponens,[status(thm)],[121, 114])).
% 16.73/16.90 tff(123,plain,
% 16.73/16.90 (((~![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective))))) <=> ((~![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective))))),
% 16.73/16.90 inference(rewrite,[status(thm)],[])).
% 16.73/16.90 tff(124,plain,
% 16.73/16.90 ((~![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective))))),
% 16.73/16.90 inference(quant_inst,[status(thm)],[])).
% 16.73/16.90 tff(125,plain,
% 16.73/16.90 ((~![VAR_V_136: $i] : (pred_attacker(VAR_V_136) | (~pred_attacker(tuple_client_B_out_6(VAR_V_136))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective)))),
% 16.73/16.90 inference(modus_ponens,[status(thm)],[124, 123])).
% 16.73/16.90 tff(126,plain,
% 16.73/16.90 (~pred_attacker(tuple_client_B_out_6(name_objective))),
% 16.73/16.90 inference(unit_resolution,[status(thm)],[125, 122, 112])).
% 16.73/16.90 tff(127,plain,
% 16.73/16.90 (^[VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : refl((pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)))))),
% 16.73/16.90 inference(bind,[status(th)],[])).
% 16.73/16.90 tff(128,plain,
% 16.73/16.90 (![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)))) <=> ![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))),
% 16.73/16.90 inference(quant_intro,[status(thm)],[127])).
% 16.73/16.90 tff(129,plain,
% 16.73/16.90 (^[VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) <=> (~((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)))))), ((~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))) <=> (~(~((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)))))))), rewrite((~(~((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)))))) <=> ((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))), ((~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))) <=> ((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)))))), ((pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | ((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))))), rewrite((pred_attacker(tuple_client_B_out_6(name_objective)) | ((~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))), ((pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))))),
% 16.73/16.90 inference(bind,[status(th)],[])).
% 16.73/16.90 tff(130,plain,
% 16.73/16.90 (![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))))) <=> ![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))),
% 16.73/16.90 inference(quant_intro,[status(thm)],[129])).
% 16.73/16.90 tff(131,plain,
% 16.73/16.90 (![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))))) <=> ![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))))),
% 16.73/16.90 inference(rewrite,[status(thm)],[])).
% 16.73/16.90 tff(132,plain,
% 16.73/16.90 (^[VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))))), ((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) <=> ((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))), rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)))), ((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))), (((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) <=> ((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))))), rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))))), (((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))))), ((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) <=> ((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))))), rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))), ((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) <=> (pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))))), (((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) => pred_attacker(tuple_client_B_out_6(name_objective))) <=> ((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) => pred_attacker(tuple_client_B_out_6(name_objective))))), rewrite(((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) => 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_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))))), (((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) => 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_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))))))),
% 16.73/16.90 inference(bind,[status(th)],[])).
% 16.73/16.90 tff(133,plain,
% 16.73/16.90 (![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : ((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) => pred_attacker(tuple_client_B_out_6(name_objective))) <=> ![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))))),
% 16.73/16.90 inference(quant_intro,[status(thm)],[132])).
% 16.73/16.90 tff(134,axiom,(![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : ((((((pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) => pred_attacker(tuple_client_B_out_6(name_objective)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax184')).
% 16.73/16.90 tff(135,plain,
% 16.73/16.90 (![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))))),
% 16.73/16.90 inference(modus_ponens,[status(thm)],[134, 133])).
% 16.73/16.90 tff(136,plain,
% 16.73/16.90 (![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))))),
% 16.73/16.90 inference(modus_ponens,[status(thm)],[135, 131])).
% 16.73/16.90 tff(137,plain,(
% 16.73/16.90 ![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~(pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB)) & pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB))) & pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS)))) & pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30)))))),
% 16.73/16.90 inference(skolemize,[status(sab)],[136])).
% 16.73/16.90 tff(138,plain,
% 16.73/16.90 (![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))),
% 16.73/16.90 inference(modus_ponens,[status(thm)],[137, 130])).
% 16.73/16.90 tff(139,plain,
% 16.73/16.90 (![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))),
% 16.73/16.90 inference(modus_ponens,[status(thm)],[138, 128])).
% 16.73/16.90 tff(140,plain,
% 16.73/16.90 (((~![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))))) <=> ((~![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) | pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))))),
% 16.73/16.90 inference(rewrite,[status(thm)],[])).
% 16.73/16.90 tff(141,plain,
% 16.73/16.90 ((pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1))))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))))),
% 16.73/16.90 inference(rewrite,[status(thm)],[])).
% 16.73/16.90 tff(142,plain,
% 16.73/16.90 (((~![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))))) <=> ((~![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB))))))),
% 16.73/16.90 inference(monotonicity,[status(thm)],[141])).
% 16.73/16.90 tff(143,plain,
% 16.73/16.90 (((~![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))))) <=> ((~![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) | pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))))),
% 16.73/16.90 inference(transitivity,[status(thm)],[142, 140])).
% 16.73/16.90 tff(144,plain,
% 16.73/16.90 ((~![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) | (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))))),
% 16.73/16.90 inference(quant_inst,[status(thm)],[])).
% 16.73/16.90 tff(145,plain,
% 16.73/16.90 ((~![VAR_0X40SID_577: $i, VAR_AENC_NA_A_579: $i, VAR_AENC_NB_578: $i, VAR_SIGN_A_PKA_580X30: $i] : (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(VAR_SIGN_A_PKA_580X30))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(VAR_SIGN_A_PKA_580X30, constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(VAR_0X40SID_577), constr_adec(VAR_AENC_NB_578, name_skB))) | (~pred_attacker(tuple_client_B_in_5(VAR_AENC_NB_578))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(VAR_AENC_NA_A_579, name_skB)))) | (~pred_attacker(tuple_client_B_in_3(VAR_AENC_NA_A_579))))) | pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skB)))) | (~pred_attacker(tuple_client_B_in_5(tuple_client_A_out_1(name_A, name_I)))) | (~pred_attacker(tuple_client_B_in_3(constr_enc(tuple_false, constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(name_Nb(constr_CONST_1), constr_adec(tuple_client_A_out_1(name_A, name_I), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skB), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_enc(tuple_false, constr_CONST_1), name_skB))))),
% 16.73/16.91 inference(modus_ponens,[status(thm)],[144, 143])).
% 16.73/16.91 tff(146,plain,
% 16.73/16.91 ($false),
% 16.73/16.91 inference(unit_resolution,[status(thm)],[145, 139, 126, 109, 92, 52, 19, 15, 11])).
% 16.73/16.91 % SZS output end Proof
% 16.73/16.92 % E exiting
%------------------------------------------------------------------------------