TSTP Solution File: SWW959+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW959+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 21:00:23 EDT 2022
% Result : Theorem 12.61s 8.45s
% Output : Proof 12.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW959+1 : TPTP v8.1.0. Released v7.4.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Sep 5 00:42:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34 Usage: tptp [options] [-file:]file
% 0.14/0.34 -h, -? prints this message.
% 0.14/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.34 -m, -model generate model.
% 0.14/0.34 -p, -proof generate proof.
% 0.14/0.34 -c, -core generate unsat core of named formulas.
% 0.14/0.34 -st, -statistics display statistics.
% 0.14/0.34 -t:timeout set timeout (in second).
% 0.14/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34 -<param>:<value> configuration parameter and value.
% 0.14/0.34 -o:<output-file> file to place output in.
% 12.61/8.45 % SZS status Theorem
% 12.61/8.45 % SZS output start Proof
% 12.61/8.45 tff(pred_eq_bitstring_bitstring_type, type, (
% 12.61/8.45 pred_eq_bitstring_bitstring: ( $i * $i ) > $o)).
% 12.61/8.45 tff(constr_tuple_2_get_0x30_type, type, (
% 12.61/8.45 constr_tuple_2_get_0x30: $i > $i)).
% 12.61/8.45 tff(constr_checksign_type, type, (
% 12.61/8.45 constr_checksign: ( $i * $i ) > $i)).
% 12.61/8.45 tff(constr_pkey_type, type, (
% 12.61/8.45 constr_pkey: $i > $i)).
% 12.61/8.45 tff(name_skS_type, type, (
% 12.61/8.45 name_skS: $i)).
% 12.61/8.45 tff(name_A_type, type, (
% 12.61/8.45 name_A: $i)).
% 12.61/8.45 tff(constr_adec_type, type, (
% 12.61/8.45 constr_adec: ( $i * $i ) > $i)).
% 12.61/8.45 tff(name_skB_type, type, (
% 12.61/8.45 name_skB: $i)).
% 12.61/8.45 tff(name_Nb_type, type, (
% 12.61/8.45 name_Nb: $i > $i)).
% 12.61/8.45 tff(tuple_keys_type, type, (
% 12.61/8.45 tuple_keys: ( $i * $i ) > $i)).
% 12.61/8.45 tff(name_B_type, type, (
% 12.61/8.45 name_B: $i)).
% 12.61/8.45 tff(constr_tuple_2_get_1_type, type, (
% 12.61/8.45 constr_tuple_2_get_1: $i > $i)).
% 12.61/8.45 tff(pred_attacker_type, type, (
% 12.61/8.45 pred_attacker: $i > $o)).
% 12.61/8.45 tff(tuple_client_B_out_6_type, type, (
% 12.61/8.45 tuple_client_B_out_6: $i > $i)).
% 12.61/8.45 tff(name_objective_type, type, (
% 12.61/8.45 name_objective: $i)).
% 12.61/8.45 tff(tuple_client_B_in_2_type, type, (
% 12.61/8.45 tuple_client_B_in_2: $i > $i)).
% 12.61/8.45 tff(tuple_out_3_type, type, (
% 12.61/8.45 tuple_out_3: $i > $i)).
% 12.61/8.45 tff(tuple_client_B_in_3_type, type, (
% 12.61/8.45 tuple_client_B_in_3: $i > $i)).
% 12.61/8.45 tff(tuple_client_B_in_5_type, type, (
% 12.61/8.45 tuple_client_B_in_5: $i > $i)).
% 12.61/8.45 tff(1,assumption,(~pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))), introduced(assumption)).
% 12.61/8.45 tff(2,plain,
% 12.61/8.45 (^[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))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(3,plain,
% 12.61/8.45 (![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)),
% 12.61/8.45 inference(quant_intro,[status(thm)],[2])).
% 12.61/8.45 tff(4,plain,
% 12.61/8.45 (![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)),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 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')).
% 12.61/8.45 tff(6,plain,
% 12.61/8.45 (![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[5, 4])).
% 12.61/8.45 tff(7,plain,(
% 12.61/8.45 ![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)),
% 12.61/8.45 inference(skolemize,[status(sab)],[6])).
% 12.61/8.45 tff(8,plain,
% 12.61/8.45 (![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[7, 3])).
% 12.61/8.45 tff(9,plain,
% 12.61/8.45 ((~![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)) | pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))),
% 12.61/8.45 inference(quant_inst,[status(thm)],[])).
% 12.61/8.45 tff(10,plain,
% 12.61/8.45 ($false),
% 12.61/8.45 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 12.61/8.45 tff(11,plain,(pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))), inference(lemma,lemma(discharge,[]))).
% 12.61/8.45 tff(12,assumption,(~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))), introduced(assumption)).
% 12.61/8.45 tff(13,plain,
% 12.61/8.45 ((~![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)) | pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))),
% 12.61/8.45 inference(quant_inst,[status(thm)],[])).
% 12.61/8.45 tff(14,plain,
% 12.61/8.45 ($false),
% 12.61/8.45 inference(unit_resolution,[status(thm)],[13, 8, 12])).
% 12.61/8.45 tff(15,plain,(pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))), inference(lemma,lemma(discharge,[]))).
% 12.61/8.45 tff(16,assumption,(pred_attacker(tuple_client_B_out_6(name_objective))), introduced(assumption)).
% 12.61/8.45 tff(17,plain,
% 12.61/8.45 ((~pred_attacker(name_objective)) <=> (~pred_attacker(name_objective))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(18,axiom,(~pred_attacker(name_objective)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co0')).
% 12.61/8.45 tff(19,plain,
% 12.61/8.45 (~pred_attacker(name_objective)),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[18, 17])).
% 12.61/8.45 tff(20,plain,
% 12.61/8.45 (^[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)))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(21,plain,
% 12.61/8.45 (![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))))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[20])).
% 12.61/8.45 tff(22,plain,
% 12.61/8.45 (![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))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(23,plain,
% 12.61/8.45 (^[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)))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(24,plain,
% 12.61/8.45 (![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))))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[23])).
% 12.61/8.45 tff(25,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')).
% 12.61/8.45 tff(26,plain,
% 12.61/8.45 (![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[25, 24])).
% 12.61/8.45 tff(27,plain,
% 12.61/8.45 (![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[26, 22])).
% 12.61/8.45 tff(28,plain,(
% 12.61/8.45 ![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 12.61/8.45 inference(skolemize,[status(sab)],[27])).
% 12.61/8.45 tff(29,plain,
% 12.61/8.45 (![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[28, 21])).
% 12.61/8.45 tff(30,plain,
% 12.61/8.45 (((~![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))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(31,plain,
% 12.61/8.45 ((~![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))))),
% 12.61/8.45 inference(quant_inst,[status(thm)],[])).
% 12.61/8.45 tff(32,plain,
% 12.61/8.45 ((~![VAR_V_126: $i] : (pred_attacker(VAR_V_126) | (~pred_attacker(tuple_client_B_out_6(VAR_V_126))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_B_out_6(name_objective)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[31, 30])).
% 12.61/8.45 tff(33,plain,
% 12.61/8.45 ($false),
% 12.61/8.45 inference(unit_resolution,[status(thm)],[32, 29, 19, 16])).
% 12.61/8.45 tff(34,plain,(~pred_attacker(tuple_client_B_out_6(name_objective))), inference(lemma,lemma(discharge,[]))).
% 12.61/8.45 tff(35,plain,
% 12.61/8.45 (pred_attacker(tuple_out_3(constr_pkey(name_skS))) <=> pred_attacker(tuple_out_3(constr_pkey(name_skS)))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(36,axiom,(pred_attacker(tuple_out_3(constr_pkey(name_skS)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax159')).
% 12.61/8.45 tff(37,plain,
% 12.61/8.45 (pred_attacker(tuple_out_3(constr_pkey(name_skS)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[36, 35])).
% 12.61/8.45 tff(38,plain,
% 12.61/8.45 (^[VAR_V_59: $i] : refl((pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59)))) <=> (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59)))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(39,plain,
% 12.61/8.45 (![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59)))) <=> ![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[38])).
% 12.61/8.45 tff(40,plain,
% 12.61/8.45 (![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59)))) <=> ![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(41,plain,
% 12.61/8.45 (^[VAR_V_59: $i] : rewrite((pred_attacker(tuple_out_3(VAR_V_59)) => pred_attacker(VAR_V_59)) <=> (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59)))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(42,plain,
% 12.61/8.45 (![VAR_V_59: $i] : (pred_attacker(tuple_out_3(VAR_V_59)) => pred_attacker(VAR_V_59)) <=> ![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[41])).
% 12.61/8.45 tff(43,axiom,(![VAR_V_59: $i] : (pred_attacker(tuple_out_3(VAR_V_59)) => pred_attacker(VAR_V_59))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax95')).
% 12.61/8.45 tff(44,plain,
% 12.61/8.45 (![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[43, 42])).
% 12.61/8.45 tff(45,plain,
% 12.61/8.45 (![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[44, 40])).
% 12.61/8.45 tff(46,plain,(
% 12.61/8.45 ![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))),
% 12.61/8.45 inference(skolemize,[status(sab)],[45])).
% 12.61/8.45 tff(47,plain,
% 12.61/8.45 (![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[46, 39])).
% 12.61/8.45 tff(48,plain,
% 12.61/8.45 (((~![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))) | (pred_attacker(constr_pkey(name_skS)) | (~pred_attacker(tuple_out_3(constr_pkey(name_skS)))))) <=> ((~![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))) | pred_attacker(constr_pkey(name_skS)) | (~pred_attacker(tuple_out_3(constr_pkey(name_skS)))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(49,plain,
% 12.61/8.45 ((~![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))) | (pred_attacker(constr_pkey(name_skS)) | (~pred_attacker(tuple_out_3(constr_pkey(name_skS)))))),
% 12.61/8.45 inference(quant_inst,[status(thm)],[])).
% 12.61/8.45 tff(50,plain,
% 12.61/8.45 ((~![VAR_V_59: $i] : (pred_attacker(VAR_V_59) | (~pred_attacker(tuple_out_3(VAR_V_59))))) | pred_attacker(constr_pkey(name_skS)) | (~pred_attacker(tuple_out_3(constr_pkey(name_skS))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[49, 48])).
% 12.61/8.45 tff(51,plain,
% 12.61/8.45 (pred_attacker(constr_pkey(name_skS))),
% 12.61/8.45 inference(unit_resolution,[status(thm)],[50, 47, 37])).
% 12.61/8.45 tff(52,plain,
% 12.61/8.45 (^[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))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(53,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[52])).
% 12.61/8.45 tff(54,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(55,plain,
% 12.61/8.45 (^[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))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(56,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[55])).
% 12.61/8.45 tff(57,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')).
% 12.61/8.45 tff(58,plain,
% 12.61/8.45 (![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[57, 56])).
% 12.61/8.45 tff(59,plain,
% 12.61/8.45 (![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[58, 54])).
% 12.61/8.45 tff(60,plain,(
% 12.61/8.45 ![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 12.61/8.45 inference(skolemize,[status(sab)],[59])).
% 12.61/8.45 tff(61,plain,
% 12.61/8.45 (![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[60, 53])).
% 12.61/8.45 tff(62,plain,
% 12.61/8.45 (((~![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))) | ((~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS))))) <=> ((~![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))) | (~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(63,plain,
% 12.61/8.45 ((~![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))) | ((~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS))))),
% 12.61/8.45 inference(quant_inst,[status(thm)],[])).
% 12.61/8.45 tff(64,plain,
% 12.61/8.45 ((~![VAR_V_163: $i] : ((~pred_attacker(VAR_V_163)) | pred_attacker(tuple_client_B_in_2(VAR_V_163)))) | (~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[63, 62])).
% 12.61/8.45 tff(65,plain,
% 12.61/8.45 (pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))),
% 12.61/8.45 inference(unit_resolution,[status(thm)],[64, 61, 51])).
% 12.61/8.45 tff(66,plain,
% 12.61/8.45 (^[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))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(67,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[66])).
% 12.61/8.45 tff(68,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(69,plain,
% 12.61/8.45 (^[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))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(70,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[69])).
% 12.61/8.45 tff(71,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')).
% 12.61/8.45 tff(72,plain,
% 12.61/8.45 (![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[71, 70])).
% 12.61/8.45 tff(73,plain,
% 12.61/8.45 (![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[72, 68])).
% 12.61/8.45 tff(74,plain,(
% 12.61/8.45 ![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 12.61/8.45 inference(skolemize,[status(sab)],[73])).
% 12.61/8.45 tff(75,plain,
% 12.61/8.45 (![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[74, 67])).
% 12.61/8.45 tff(76,plain,
% 12.61/8.45 (((~![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))) | ((~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS))))) <=> ((~![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))) | (~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(77,plain,
% 12.61/8.45 ((~![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))) | ((~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS))))),
% 12.61/8.45 inference(quant_inst,[status(thm)],[])).
% 12.61/8.45 tff(78,plain,
% 12.61/8.45 ((~![VAR_V_157: $i] : ((~pred_attacker(VAR_V_157)) | pred_attacker(tuple_client_B_in_3(VAR_V_157)))) | (~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[77, 76])).
% 12.61/8.45 tff(79,plain,
% 12.61/8.45 (pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))),
% 12.61/8.45 inference(unit_resolution,[status(thm)],[78, 75, 51])).
% 12.61/8.45 tff(80,plain,
% 12.61/8.45 (^[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))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(81,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[80])).
% 12.61/8.45 tff(82,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(83,plain,
% 12.61/8.45 (^[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))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(84,plain,
% 12.61/8.45 (![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)))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[83])).
% 12.61/8.45 tff(85,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')).
% 12.61/8.45 tff(86,plain,
% 12.61/8.45 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[85, 84])).
% 12.61/8.45 tff(87,plain,
% 12.61/8.45 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[86, 82])).
% 12.61/8.45 tff(88,plain,(
% 12.61/8.45 ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 12.61/8.45 inference(skolemize,[status(sab)],[87])).
% 12.61/8.45 tff(89,plain,
% 12.61/8.45 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[88, 81])).
% 12.61/8.45 tff(90,plain,
% 12.61/8.45 (((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))) | ((~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS))))) <=> ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))) | (~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(91,plain,
% 12.61/8.45 ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))) | ((~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS))))),
% 12.61/8.45 inference(quant_inst,[status(thm)],[])).
% 12.61/8.45 tff(92,plain,
% 12.61/8.45 ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_in_5(VAR_V_151)))) | (~pred_attacker(constr_pkey(name_skS))) | pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[91, 90])).
% 12.61/8.45 tff(93,plain,
% 12.61/8.45 (pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))),
% 12.61/8.45 inference(unit_resolution,[status(thm)],[92, 89, 51])).
% 12.61/8.45 tff(94,plain,
% 12.61/8.45 (^[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)))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(95,plain,
% 12.61/8.45 (![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))))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[94])).
% 12.61/8.45 tff(96,plain,
% 12.61/8.45 (^[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))))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(97,plain,
% 12.61/8.45 (![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))))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[96])).
% 12.61/8.45 tff(98,plain,
% 12.61/8.45 (![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)))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(99,plain,
% 12.61/8.45 (^[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)))))))),
% 12.61/8.45 inference(bind,[status(th)],[])).
% 12.61/8.45 tff(100,plain,
% 12.61/8.45 (![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)))))),
% 12.61/8.45 inference(quant_intro,[status(thm)],[99])).
% 12.61/8.45 tff(101,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')).
% 12.61/8.45 tff(102,plain,
% 12.61/8.45 (![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)))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[101, 100])).
% 12.61/8.45 tff(103,plain,
% 12.61/8.45 (![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)))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[102, 98])).
% 12.61/8.45 tff(104,plain,(
% 12.61/8.45 ![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)))))),
% 12.61/8.45 inference(skolemize,[status(sab)],[103])).
% 12.61/8.45 tff(105,plain,
% 12.61/8.45 (![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))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[104, 97])).
% 12.61/8.45 tff(106,plain,
% 12.61/8.45 (![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))))),
% 12.61/8.45 inference(modus_ponens,[status(thm)],[105, 95])).
% 12.61/8.45 tff(107,plain,
% 12.61/8.45 (((~![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_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))))) <=> ((~![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_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(108,plain,
% 12.61/8.45 ((pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS))))) <=> (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))))),
% 12.61/8.45 inference(rewrite,[status(thm)],[])).
% 12.61/8.45 tff(109,plain,
% 12.61/8.45 (((~![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(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))))) <=> ((~![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_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS))))))),
% 12.61/8.46 inference(monotonicity,[status(thm)],[108])).
% 12.61/8.46 tff(110,plain,
% 12.61/8.46 (((~![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(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))))) <=> ((~![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_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))))),
% 12.61/8.46 inference(transitivity,[status(thm)],[109, 107])).
% 12.61/8.46 tff(111,plain,
% 12.61/8.46 ((~![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(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))))),
% 12.61/8.46 inference(quant_inst,[status(thm)],[])).
% 12.61/8.46 tff(112,plain,
% 12.61/8.46 ((~![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_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_attacker(tuple_client_B_in_2(constr_pkey(name_skS)))) | (~pred_attacker(tuple_client_B_in_3(constr_pkey(name_skS)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))) | (~pred_attacker(tuple_client_B_in_5(constr_pkey(name_skS))))),
% 12.61/8.46 inference(modus_ponens,[status(thm)],[111, 110])).
% 12.61/8.46 tff(113,plain,
% 12.61/8.46 (pred_attacker(tuple_client_B_out_6(name_objective)) | (~pred_eq_bitstring_bitstring(name_Nb(tuple_keys(name_B, constr_pkey(name_skB))), constr_adec(constr_pkey(name_skS), name_skB))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_adec(constr_pkey(name_skS), name_skB)))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS)))))),
% 12.61/8.46 inference(unit_resolution,[status(thm)],[112, 106, 93, 79, 65])).
% 12.61/8.46 tff(114,plain,
% 12.61/8.46 (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))),
% 12.61/8.46 inference(unit_resolution,[status(thm)],[113, 34, 15, 11])).
% 12.61/8.46 tff(115,plain,
% 12.61/8.46 ((~![VAR_X_35: $i, VAR_Y_36: $i] : pred_eq_bitstring_bitstring(VAR_X_35, VAR_Y_36)) | pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_0x30(constr_checksign(constr_pkey(name_skS), constr_pkey(name_skS))))),
% 12.61/8.46 inference(quant_inst,[status(thm)],[])).
% 12.61/8.46 tff(116,plain,
% 12.61/8.46 ($false),
% 12.61/8.46 inference(unit_resolution,[status(thm)],[115, 8, 114])).
% 12.61/8.46 % SZS output end Proof
%------------------------------------------------------------------------------