TSTP Solution File: SWW967+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW967+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 21:00:25 EDT 2022
% Result : Theorem 105.31s 66.66s
% Output : Proof 105.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW967+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Sep 5 00:38:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 105.31/66.66 % SZS status Theorem
% 105.31/66.66 % SZS output start Proof
% 105.31/66.66 tff(pred_eq_bitstring_bitstring_type, type, (
% 105.31/66.66 pred_eq_bitstring_bitstring: ( $i * $i ) > $o)).
% 105.31/66.66 tff(constr_tuple_4_get_0x30_type, type, (
% 105.31/66.66 constr_tuple_4_get_0x30: $i > $i)).
% 105.31/66.66 tff(constr_cbc_dec_4_type, type, (
% 105.31/66.66 constr_cbc_dec_4: ( $i * $i ) > $i)).
% 105.31/66.66 tff(name_Kas_type, type, (
% 105.31/66.66 name_Kas: $i)).
% 105.31/66.66 tff(tuple_server_S_out_2_type, type, (
% 105.31/66.66 tuple_server_S_out_2: $i > $i)).
% 105.31/66.66 tff(constr_CONST_1_type, type, (
% 105.31/66.66 constr_CONST_1: $i)).
% 105.31/66.66 tff(name_Na_type, type, (
% 105.31/66.66 name_Na: $i > $i)).
% 105.31/66.66 tff(name_I_type, type, (
% 105.31/66.66 name_I: $i)).
% 105.31/66.66 tff(constr_cbc_dec_1_type, type, (
% 105.31/66.66 constr_cbc_dec_1: ( $i * $i ) > $i)).
% 105.31/66.66 tff(constr_tuple_2_get_0x30_bitstring_type, type, (
% 105.31/66.66 constr_tuple_2_get_0x30_bitstring: $i > $i)).
% 105.31/66.66 tff(constr_cbc_dec_2_type, type, (
% 105.31/66.66 constr_cbc_dec_2: ( $i * $i ) > $i)).
% 105.31/66.66 tff(tuple_client_A_in_6_type, type, (
% 105.31/66.66 tuple_client_A_in_6: $i > $i)).
% 105.31/66.66 tff(constr_CONST_4_type, type, (
% 105.31/66.66 constr_CONST_4: $i)).
% 105.31/66.66 tff(tuple_client_A_out_5_type, type, (
% 105.31/66.66 tuple_client_A_out_5: $i > $i)).
% 105.31/66.66 tff(tuple_succ_type, type, (
% 105.31/66.66 tuple_succ: $i > $i)).
% 105.31/66.66 tff(name_Na0x27_type, type, (
% 105.31/66.66 name_Na0x27: ( $i * $i * $i ) > $i)).
% 105.31/66.66 tff(tuple_client_B_out_2_type, type, (
% 105.31/66.66 tuple_client_B_out_2: $i > $i)).
% 105.31/66.66 tff(tuple_2_type, type, (
% 105.31/66.66 tuple_2: ( $i * $i ) > $i)).
% 105.31/66.66 tff(constr_CONST_2_type, type, (
% 105.31/66.66 constr_CONST_2: $i)).
% 105.31/66.66 tff(constr_CONST_3_type, type, (
% 105.31/66.66 constr_CONST_3: $i)).
% 105.31/66.66 tff(pred_attacker_type, type, (
% 105.31/66.66 pred_attacker: $i > $o)).
% 105.31/66.66 tff(tuple_client_A_in_8_type, type, (
% 105.31/66.66 tuple_client_A_in_8: $i > $i)).
% 105.31/66.66 tff(constr_tuple_4_get_1_type, type, (
% 105.31/66.66 constr_tuple_4_get_1: $i > $i)).
% 105.31/66.66 tff(name_B_type, type, (
% 105.31/66.66 name_B: $i)).
% 105.31/66.66 tff(tuple_client_A_in_2_type, type, (
% 105.31/66.66 tuple_client_A_in_2: $i > $i)).
% 105.31/66.66 tff(tuple_client_A_in_4_type, type, (
% 105.31/66.66 tuple_client_A_in_4: $i > $i)).
% 105.31/66.66 tff(constr_tuple_2_get_1_type, type, (
% 105.31/66.66 constr_tuple_2_get_1: $i > $i)).
% 105.31/66.66 tff(name_A_type, type, (
% 105.31/66.66 name_A: $i)).
% 105.31/66.66 tff(tuple_client_A_out_9_type, type, (
% 105.31/66.66 tuple_client_A_out_9: $i > $i)).
% 105.31/66.66 tff(name_objective_type, type, (
% 105.31/66.66 name_objective: $i)).
% 105.31/66.66 tff(1,assumption,(~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))), introduced(assumption)).
% 105.31/66.66 tff(2,plain,
% 105.31/66.66 (^[VAR_X_81: $i, VAR_Y_82: $i] : refl(pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82) <=> pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82))),
% 105.31/66.66 inference(bind,[status(th)],[])).
% 105.31/66.66 tff(3,plain,
% 105.31/66.66 (![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82) <=> ![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 105.31/66.66 inference(quant_intro,[status(thm)],[2])).
% 105.31/66.66 tff(4,plain,
% 105.31/66.66 (![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82) <=> ![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 105.31/66.66 inference(rewrite,[status(thm)],[])).
% 105.31/66.66 tff(5,axiom,(![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax83')).
% 105.31/66.66 tff(6,plain,
% 105.31/66.66 (![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[5, 4])).
% 105.31/66.66 tff(7,plain,(
% 105.31/66.66 ![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 105.31/66.66 inference(skolemize,[status(sab)],[6])).
% 105.31/66.66 tff(8,plain,
% 105.31/66.66 (![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[7, 3])).
% 105.31/66.66 tff(9,plain,
% 105.31/66.66 ((~![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)) | pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))),
% 105.31/66.66 inference(quant_inst,[status(thm)],[])).
% 105.31/66.66 tff(10,plain,
% 105.31/66.66 ($false),
% 105.31/66.66 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 105.31/66.66 tff(11,plain,(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))), inference(lemma,lemma(discharge,[]))).
% 105.31/66.66 tff(12,assumption,(~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))), introduced(assumption)).
% 105.31/66.66 tff(13,plain,
% 105.31/66.66 (pred_attacker(constr_CONST_1) <=> pred_attacker(constr_CONST_1)),
% 105.31/66.66 inference(rewrite,[status(thm)],[])).
% 105.31/66.66 tff(14,axiom,(pred_attacker(constr_CONST_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax145')).
% 105.31/66.66 tff(15,plain,
% 105.31/66.66 (pred_attacker(constr_CONST_1)),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[14, 13])).
% 105.31/66.66 tff(16,plain,
% 105.31/66.66 (^[VAR_V_181: $i] : refl(((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181))) <=> ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181))))),
% 105.31/66.66 inference(bind,[status(th)],[])).
% 105.31/66.66 tff(17,plain,
% 105.31/66.66 (![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181))) <=> ![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))),
% 105.31/66.66 inference(quant_intro,[status(thm)],[16])).
% 105.31/66.66 tff(18,plain,
% 105.31/66.66 (![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181))) <=> ![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))),
% 105.31/66.66 inference(rewrite,[status(thm)],[])).
% 105.31/66.66 tff(19,plain,
% 105.31/66.66 (^[VAR_V_181: $i] : rewrite((pred_attacker(VAR_V_181) => pred_attacker(tuple_client_A_out_5(VAR_V_181))) <=> ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181))))),
% 105.31/66.66 inference(bind,[status(th)],[])).
% 105.31/66.66 tff(20,plain,
% 105.31/66.66 (![VAR_V_181: $i] : (pred_attacker(VAR_V_181) => pred_attacker(tuple_client_A_out_5(VAR_V_181))) <=> ![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))),
% 105.31/66.66 inference(quant_intro,[status(thm)],[19])).
% 105.31/66.66 tff(21,axiom,(![VAR_V_181: $i] : (pred_attacker(VAR_V_181) => pred_attacker(tuple_client_A_out_5(VAR_V_181)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax112')).
% 105.31/66.66 tff(22,plain,
% 105.31/66.66 (![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[21, 20])).
% 105.31/66.66 tff(23,plain,
% 105.31/66.66 (![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[22, 18])).
% 105.31/66.66 tff(24,plain,(
% 105.31/66.66 ![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))),
% 105.31/66.66 inference(skolemize,[status(sab)],[23])).
% 105.31/66.66 tff(25,plain,
% 105.31/66.66 (![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[24, 17])).
% 105.31/66.66 tff(26,plain,
% 105.31/66.66 (((~![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_client_A_out_5(constr_CONST_1)))) <=> ((~![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_client_A_out_5(constr_CONST_1)))),
% 105.31/66.66 inference(rewrite,[status(thm)],[])).
% 105.31/66.66 tff(27,plain,
% 105.31/66.66 ((~![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_client_A_out_5(constr_CONST_1)))),
% 105.31/66.66 inference(quant_inst,[status(thm)],[])).
% 105.31/66.66 tff(28,plain,
% 105.31/66.66 ((~![VAR_V_181: $i] : ((~pred_attacker(VAR_V_181)) | pred_attacker(tuple_client_A_out_5(VAR_V_181)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_client_A_out_5(constr_CONST_1))),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[27, 26])).
% 105.31/66.66 tff(29,plain,
% 105.31/66.66 (pred_attacker(tuple_client_A_out_5(constr_CONST_1))),
% 105.31/66.66 inference(unit_resolution,[status(thm)],[28, 25, 15])).
% 105.31/66.66 tff(30,plain,
% 105.31/66.66 (^[VAR_V_223: $i] : refl(((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))))),
% 105.31/66.66 inference(bind,[status(th)],[])).
% 105.31/66.66 tff(31,plain,
% 105.31/66.66 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 105.31/66.66 inference(quant_intro,[status(thm)],[30])).
% 105.31/66.66 tff(32,plain,
% 105.31/66.66 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 105.31/66.66 inference(rewrite,[status(thm)],[])).
% 105.31/66.66 tff(33,plain,
% 105.31/66.66 (^[VAR_V_223: $i] : rewrite((pred_attacker(VAR_V_223) => pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223))))),
% 105.31/66.66 inference(bind,[status(th)],[])).
% 105.31/66.66 tff(34,plain,
% 105.31/66.66 (![VAR_V_223: $i] : (pred_attacker(VAR_V_223) => pred_attacker(tuple_client_A_in_8(VAR_V_223))) <=> ![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 105.31/66.66 inference(quant_intro,[status(thm)],[33])).
% 105.31/66.66 tff(35,axiom,(![VAR_V_223: $i] : (pred_attacker(VAR_V_223) => pred_attacker(tuple_client_A_in_8(VAR_V_223)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax120')).
% 105.31/66.66 tff(36,plain,
% 105.31/66.66 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[35, 34])).
% 105.31/66.66 tff(37,plain,
% 105.31/66.66 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[36, 32])).
% 105.31/66.66 tff(38,plain,(
% 105.31/66.66 ![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 105.31/66.66 inference(skolemize,[status(sab)],[37])).
% 105.31/66.66 tff(39,plain,
% 105.31/66.66 (![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[38, 31])).
% 105.31/66.66 tff(40,plain,
% 105.31/66.66 (((~![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))) | ((~pred_attacker(tuple_client_A_out_5(constr_CONST_1))) | pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1))))) <=> ((~![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))) | (~pred_attacker(tuple_client_A_out_5(constr_CONST_1))) | pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1))))),
% 105.31/66.66 inference(rewrite,[status(thm)],[])).
% 105.31/66.66 tff(41,plain,
% 105.31/66.66 ((~![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))) | ((~pred_attacker(tuple_client_A_out_5(constr_CONST_1))) | pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1))))),
% 105.31/66.66 inference(quant_inst,[status(thm)],[])).
% 105.31/66.66 tff(42,plain,
% 105.31/66.66 ((~![VAR_V_223: $i] : ((~pred_attacker(VAR_V_223)) | pred_attacker(tuple_client_A_in_8(VAR_V_223)))) | (~pred_attacker(tuple_client_A_out_5(constr_CONST_1))) | pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))),
% 105.31/66.66 inference(modus_ponens,[status(thm)],[41, 40])).
% 105.31/66.66 tff(43,plain,
% 105.31/66.66 ($false),
% 105.31/66.66 inference(unit_resolution,[status(thm)],[42, 39, 29, 12])).
% 105.31/66.66 tff(44,plain,(pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))), inference(lemma,lemma(discharge,[]))).
% 105.31/66.66 tff(45,assumption,(~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))), introduced(assumption)).
% 105.31/66.66 tff(46,plain,
% 105.31/66.66 ((~![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)) | pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))),
% 105.31/66.66 inference(quant_inst,[status(thm)],[])).
% 105.31/66.66 tff(47,plain,
% 105.31/66.66 ($false),
% 105.31/66.66 inference(unit_resolution,[status(thm)],[46, 8, 45])).
% 105.31/66.66 tff(48,plain,(pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))), inference(lemma,lemma(discharge,[]))).
% 105.31/66.66 tff(49,assumption,(~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))), introduced(assumption)).
% 105.31/66.66 tff(50,plain,
% 105.31/66.66 (^[VAR_V_10X306: $i] : refl(((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306))) <=> ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306))))),
% 105.31/66.66 inference(bind,[status(th)],[])).
% 105.31/66.66 tff(51,plain,
% 105.31/66.66 (![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306))) <=> ![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))),
% 105.31/66.66 inference(quant_intro,[status(thm)],[50])).
% 105.31/66.66 tff(52,plain,
% 105.31/66.66 (![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306))) <=> ![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(53,plain,
% 105.31/66.67 (^[VAR_V_10X306: $i] : rewrite((pred_attacker(VAR_V_10X306) => pred_attacker(tuple_server_S_out_2(VAR_V_10X306))) <=> ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(54,plain,
% 105.31/66.67 (![VAR_V_10X306: $i] : (pred_attacker(VAR_V_10X306) => pred_attacker(tuple_server_S_out_2(VAR_V_10X306))) <=> ![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[53])).
% 105.31/66.67 tff(55,axiom,(![VAR_V_10X306: $i] : (pred_attacker(VAR_V_10X306) => pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax93')).
% 105.31/66.67 tff(56,plain,
% 105.31/66.67 (![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[55, 54])).
% 105.31/66.67 tff(57,plain,
% 105.31/66.67 (![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[56, 52])).
% 105.31/66.67 tff(58,plain,(
% 105.31/66.67 ![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))),
% 105.31/66.67 inference(skolemize,[status(sab)],[57])).
% 105.31/66.67 tff(59,plain,
% 105.31/66.67 (![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[58, 51])).
% 105.31/66.67 tff(60,plain,
% 105.31/66.67 (((~![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_server_S_out_2(constr_CONST_1)))) <=> ((~![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_server_S_out_2(constr_CONST_1)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(61,plain,
% 105.31/66.67 ((~![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))) | ((~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_server_S_out_2(constr_CONST_1)))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(62,plain,
% 105.31/66.67 ((~![VAR_V_10X306: $i] : ((~pred_attacker(VAR_V_10X306)) | pred_attacker(tuple_server_S_out_2(VAR_V_10X306)))) | (~pred_attacker(constr_CONST_1)) | pred_attacker(tuple_server_S_out_2(constr_CONST_1))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[61, 60])).
% 105.31/66.67 tff(63,plain,
% 105.31/66.67 (pred_attacker(tuple_server_S_out_2(constr_CONST_1))),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[62, 59, 15])).
% 105.31/66.67 tff(64,plain,
% 105.31/66.67 (^[VAR_V_241: $i] : refl(((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(65,plain,
% 105.31/66.67 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[64])).
% 105.31/66.67 tff(66,plain,
% 105.31/66.67 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(67,plain,
% 105.31/66.67 (^[VAR_V_241: $i] : rewrite((pred_attacker(VAR_V_241) => pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(68,plain,
% 105.31/66.67 (![VAR_V_241: $i] : (pred_attacker(VAR_V_241) => pred_attacker(tuple_client_A_in_2(VAR_V_241))) <=> ![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[67])).
% 105.31/66.67 tff(69,axiom,(![VAR_V_241: $i] : (pred_attacker(VAR_V_241) => pred_attacker(tuple_client_A_in_2(VAR_V_241)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax126')).
% 105.31/66.67 tff(70,plain,
% 105.31/66.67 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[69, 68])).
% 105.31/66.67 tff(71,plain,
% 105.31/66.67 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[70, 66])).
% 105.31/66.67 tff(72,plain,(
% 105.31/66.67 ![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 105.31/66.67 inference(skolemize,[status(sab)],[71])).
% 105.31/66.67 tff(73,plain,
% 105.31/66.67 (![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[72, 65])).
% 105.31/66.67 tff(74,plain,
% 105.31/66.67 (((~![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))) | ((~pred_attacker(tuple_server_S_out_2(constr_CONST_1))) | pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1))))) <=> ((~![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))) | (~pred_attacker(tuple_server_S_out_2(constr_CONST_1))) | pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1))))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(75,plain,
% 105.31/66.67 ((~![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))) | ((~pred_attacker(tuple_server_S_out_2(constr_CONST_1))) | pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1))))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(76,plain,
% 105.31/66.67 ((~![VAR_V_241: $i] : ((~pred_attacker(VAR_V_241)) | pred_attacker(tuple_client_A_in_2(VAR_V_241)))) | (~pred_attacker(tuple_server_S_out_2(constr_CONST_1))) | pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[75, 74])).
% 105.31/66.67 tff(77,plain,
% 105.31/66.67 ($false),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[76, 73, 63, 49])).
% 105.31/66.67 tff(78,plain,(pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))), inference(lemma,lemma(discharge,[]))).
% 105.31/66.67 tff(79,assumption,(~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))), introduced(assumption)).
% 105.31/66.67 tff(80,plain,
% 105.31/66.67 (pred_attacker(constr_CONST_4) <=> pred_attacker(constr_CONST_4)),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(81,axiom,(pred_attacker(constr_CONST_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax142')).
% 105.31/66.67 tff(82,plain,
% 105.31/66.67 (pred_attacker(constr_CONST_4)),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[81, 80])).
% 105.31/66.67 tff(83,plain,
% 105.31/66.67 (^[VAR_V_229: $i] : refl(((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(84,plain,
% 105.31/66.67 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[83])).
% 105.31/66.67 tff(85,plain,
% 105.31/66.67 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(86,plain,
% 105.31/66.67 (^[VAR_V_229: $i] : rewrite((pred_attacker(VAR_V_229) => pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(87,plain,
% 105.31/66.67 (![VAR_V_229: $i] : (pred_attacker(VAR_V_229) => pred_attacker(tuple_client_A_in_6(VAR_V_229))) <=> ![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[86])).
% 105.31/66.67 tff(88,axiom,(![VAR_V_229: $i] : (pred_attacker(VAR_V_229) => pred_attacker(tuple_client_A_in_6(VAR_V_229)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax122')).
% 105.31/66.67 tff(89,plain,
% 105.31/66.67 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[88, 87])).
% 105.31/66.67 tff(90,plain,
% 105.31/66.67 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[89, 85])).
% 105.31/66.67 tff(91,plain,(
% 105.31/66.67 ![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 105.31/66.67 inference(skolemize,[status(sab)],[90])).
% 105.31/66.67 tff(92,plain,
% 105.31/66.67 (![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[91, 84])).
% 105.31/66.67 tff(93,plain,
% 105.31/66.67 (((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | ((~pred_attacker(constr_CONST_4)) | pred_attacker(tuple_client_A_in_6(constr_CONST_4)))) <=> ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | (~pred_attacker(constr_CONST_4)) | pred_attacker(tuple_client_A_in_6(constr_CONST_4)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(94,plain,
% 105.31/66.67 ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | ((~pred_attacker(constr_CONST_4)) | pred_attacker(tuple_client_A_in_6(constr_CONST_4)))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(95,plain,
% 105.31/66.67 ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | (~pred_attacker(constr_CONST_4)) | pred_attacker(tuple_client_A_in_6(constr_CONST_4))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[94, 93])).
% 105.31/66.67 tff(96,plain,
% 105.31/66.67 (pred_attacker(tuple_client_A_in_6(constr_CONST_4))),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[95, 92, 82])).
% 105.31/66.67 tff(97,plain,
% 105.31/66.67 (((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | ((~pred_attacker(tuple_client_A_in_6(constr_CONST_4))) | pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4))))) <=> ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | (~pred_attacker(tuple_client_A_in_6(constr_CONST_4))) | pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4))))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(98,plain,
% 105.31/66.67 ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | ((~pred_attacker(tuple_client_A_in_6(constr_CONST_4))) | pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4))))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(99,plain,
% 105.31/66.67 ((~![VAR_V_229: $i] : ((~pred_attacker(VAR_V_229)) | pred_attacker(tuple_client_A_in_6(VAR_V_229)))) | (~pred_attacker(tuple_client_A_in_6(constr_CONST_4))) | pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[98, 97])).
% 105.31/66.67 tff(100,plain,
% 105.31/66.67 ($false),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[99, 92, 96, 79])).
% 105.31/66.67 tff(101,plain,(pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))), inference(lemma,lemma(discharge,[]))).
% 105.31/66.67 tff(102,assumption,(~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))), introduced(assumption)).
% 105.31/66.67 tff(103,plain,
% 105.31/66.67 (^[VAR_V_386: $i, VAR_V_387: $i] : refl((pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(104,plain,
% 105.31/66.67 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))) <=> ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[103])).
% 105.31/66.67 tff(105,plain,
% 105.31/66.67 (^[VAR_V_386: $i, VAR_V_387: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)) <=> (~((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))), ((~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))) <=> (~(~((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))))), rewrite((~(~((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))) <=> ((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))), ((~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))) <=> ((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386))))), ((pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | ((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))))), rewrite((pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | ((~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))), ((pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(106,plain,
% 105.31/66.67 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))) <=> ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[105])).
% 105.31/66.67 tff(107,plain,
% 105.31/66.67 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))) <=> ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(108,plain,
% 105.31/66.67 (^[VAR_V_386: $i, VAR_V_387: $i] : rewrite(((pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)) => pred_attacker(tuple_2(VAR_V_386, VAR_V_387))) <=> (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(109,plain,
% 105.31/66.67 (![VAR_V_386: $i, VAR_V_387: $i] : ((pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)) => pred_attacker(tuple_2(VAR_V_386, VAR_V_387))) <=> ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[108])).
% 105.31/66.67 tff(110,axiom,(![VAR_V_386: $i, VAR_V_387: $i] : ((pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387)) => pred_attacker(tuple_2(VAR_V_386, VAR_V_387)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax156')).
% 105.31/66.67 tff(111,plain,
% 105.31/66.67 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[110, 109])).
% 105.31/66.67 tff(112,plain,
% 105.31/66.67 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[111, 107])).
% 105.31/66.67 tff(113,plain,(
% 105.31/66.67 ![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~(pred_attacker(VAR_V_386) & pred_attacker(VAR_V_387))))),
% 105.31/66.67 inference(skolemize,[status(sab)],[112])).
% 105.31/66.67 tff(114,plain,
% 105.31/66.67 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[113, 106])).
% 105.31/66.67 tff(115,plain,
% 105.31/66.67 (![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[114, 104])).
% 105.31/66.67 tff(116,plain,
% 105.31/66.67 (pred_attacker(constr_CONST_2) <=> pred_attacker(constr_CONST_2)),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(117,axiom,(pred_attacker(constr_CONST_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax144')).
% 105.31/66.67 tff(118,plain,
% 105.31/66.67 (pred_attacker(constr_CONST_2)),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[117, 116])).
% 105.31/66.67 tff(119,plain,
% 105.31/66.67 (pred_attacker(constr_CONST_3) <=> pred_attacker(constr_CONST_3)),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(120,axiom,(pred_attacker(constr_CONST_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax143')).
% 105.31/66.67 tff(121,plain,
% 105.31/66.67 (pred_attacker(constr_CONST_3)),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[120, 119])).
% 105.31/66.67 tff(122,plain,
% 105.31/66.67 (((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | ((~pred_attacker(constr_CONST_3)) | pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2)))) <=> ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (~pred_attacker(constr_CONST_3)) | pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(123,plain,
% 105.31/66.67 ((pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2)) | (~pred_attacker(constr_CONST_3))) <=> ((~pred_attacker(constr_CONST_3)) | pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(124,plain,
% 105.31/66.67 (((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2)) | (~pred_attacker(constr_CONST_3)))) <=> ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | ((~pred_attacker(constr_CONST_3)) | pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2))))),
% 105.31/66.67 inference(monotonicity,[status(thm)],[123])).
% 105.31/66.67 tff(125,plain,
% 105.31/66.67 (((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2)) | (~pred_attacker(constr_CONST_3)))) <=> ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (~pred_attacker(constr_CONST_3)) | pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2)))),
% 105.31/66.67 inference(transitivity,[status(thm)],[124, 122])).
% 105.31/66.67 tff(126,plain,
% 105.31/66.67 ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2)) | (~pred_attacker(constr_CONST_3)))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(127,plain,
% 105.31/66.67 ((~![VAR_V_386: $i, VAR_V_387: $i] : (pred_attacker(tuple_2(VAR_V_386, VAR_V_387)) | (~pred_attacker(VAR_V_387)) | (~pred_attacker(VAR_V_386)))) | (~pred_attacker(constr_CONST_3)) | pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2)) | (~pred_attacker(constr_CONST_2))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[126, 125])).
% 105.31/66.67 tff(128,plain,
% 105.31/66.67 (pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2))),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[127, 121, 118, 115])).
% 105.31/66.67 tff(129,plain,
% 105.31/66.67 (^[VAR_V_151: $i] : refl(((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151))) <=> ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(130,plain,
% 105.31/66.67 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151))) <=> ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[129])).
% 105.31/66.67 tff(131,plain,
% 105.31/66.67 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151))) <=> ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(132,plain,
% 105.31/66.67 (^[VAR_V_151: $i] : rewrite((pred_attacker(VAR_V_151) => pred_attacker(tuple_client_B_out_2(VAR_V_151))) <=> ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(133,plain,
% 105.31/66.67 (![VAR_V_151: $i] : (pred_attacker(VAR_V_151) => pred_attacker(tuple_client_B_out_2(VAR_V_151))) <=> ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[132])).
% 105.31/66.67 tff(134,axiom,(![VAR_V_151: $i] : (pred_attacker(VAR_V_151) => pred_attacker(tuple_client_B_out_2(VAR_V_151)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax102')).
% 105.31/66.67 tff(135,plain,
% 105.31/66.67 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[134, 133])).
% 105.31/66.67 tff(136,plain,
% 105.31/66.67 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[135, 131])).
% 105.31/66.67 tff(137,plain,(
% 105.31/66.67 ![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))),
% 105.31/66.67 inference(skolemize,[status(sab)],[136])).
% 105.31/66.67 tff(138,plain,
% 105.31/66.67 (![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[137, 130])).
% 105.31/66.67 tff(139,plain,
% 105.31/66.67 (((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))) | ((~pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2))) | pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) <=> ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))) | (~pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2))) | pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(140,plain,
% 105.31/66.67 ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))) | ((~pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2))) | pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(141,plain,
% 105.31/66.67 ((~![VAR_V_151: $i] : ((~pred_attacker(VAR_V_151)) | pred_attacker(tuple_client_B_out_2(VAR_V_151)))) | (~pred_attacker(tuple_2(constr_CONST_3, constr_CONST_2))) | pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[140, 139])).
% 105.31/66.67 tff(142,plain,
% 105.31/66.67 (pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[141, 138, 128])).
% 105.31/66.67 tff(143,plain,
% 105.31/66.67 (^[VAR_V_235: $i] : refl(((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(144,plain,
% 105.31/66.67 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[143])).
% 105.31/66.67 tff(145,plain,
% 105.31/66.67 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(146,plain,
% 105.31/66.67 (^[VAR_V_235: $i] : rewrite((pred_attacker(VAR_V_235) => pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(147,plain,
% 105.31/66.67 (![VAR_V_235: $i] : (pred_attacker(VAR_V_235) => pred_attacker(tuple_client_A_in_4(VAR_V_235))) <=> ![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[146])).
% 105.31/66.67 tff(148,axiom,(![VAR_V_235: $i] : (pred_attacker(VAR_V_235) => pred_attacker(tuple_client_A_in_4(VAR_V_235)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax124')).
% 105.31/66.67 tff(149,plain,
% 105.31/66.67 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[148, 147])).
% 105.31/66.67 tff(150,plain,
% 105.31/66.67 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[149, 145])).
% 105.31/66.67 tff(151,plain,(
% 105.31/66.67 ![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 105.31/66.67 inference(skolemize,[status(sab)],[150])).
% 105.31/66.67 tff(152,plain,
% 105.31/66.67 (![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[151, 144])).
% 105.31/66.67 tff(153,plain,
% 105.31/66.67 (((~![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))) | ((~pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))) | pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))))) <=> ((~![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))) | (~pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))) | pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(154,plain,
% 105.31/66.67 ((~![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))) | ((~pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))) | pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(155,plain,
% 105.31/66.67 ((~![VAR_V_235: $i] : ((~pred_attacker(VAR_V_235)) | pred_attacker(tuple_client_A_in_4(VAR_V_235)))) | (~pred_attacker(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)))) | pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[154, 153])).
% 105.31/66.67 tff(156,plain,
% 105.31/66.67 ($false),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[155, 152, 142, 102])).
% 105.31/66.67 tff(157,plain,(pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))), inference(lemma,lemma(discharge,[]))).
% 105.31/66.67 tff(158,assumption,(~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))), introduced(assumption)).
% 105.31/66.67 tff(159,plain,
% 105.31/66.67 ((~![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)) | pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(160,plain,
% 105.31/66.67 ($false),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[159, 8, 158])).
% 105.31/66.67 tff(161,plain,(pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))), inference(lemma,lemma(discharge,[]))).
% 105.31/66.67 tff(162,plain,
% 105.31/66.67 ((~pred_attacker(name_objective)) <=> (~pred_attacker(name_objective))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(163,axiom,(~pred_attacker(name_objective)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co0')).
% 105.31/66.67 tff(164,plain,
% 105.31/66.67 (~pred_attacker(name_objective)),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[163, 162])).
% 105.31/66.67 tff(165,plain,
% 105.31/66.67 (^[VAR_V_172: $i] : refl((pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))) <=> (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(166,plain,
% 105.31/66.67 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))) <=> ![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[165])).
% 105.31/66.67 tff(167,plain,
% 105.31/66.67 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))) <=> ![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(168,plain,
% 105.31/66.67 (^[VAR_V_172: $i] : rewrite((pred_attacker(tuple_client_A_out_9(VAR_V_172)) => pred_attacker(VAR_V_172)) <=> (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172)))))),
% 105.31/66.67 inference(bind,[status(th)],[])).
% 105.31/66.67 tff(169,plain,
% 105.31/66.67 (![VAR_V_172: $i] : (pred_attacker(tuple_client_A_out_9(VAR_V_172)) => pred_attacker(VAR_V_172)) <=> ![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 105.31/66.67 inference(quant_intro,[status(thm)],[168])).
% 105.31/66.67 tff(170,axiom,(![VAR_V_172: $i] : (pred_attacker(tuple_client_A_out_9(VAR_V_172)) => pred_attacker(VAR_V_172))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax109')).
% 105.31/66.67 tff(171,plain,
% 105.31/66.67 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[170, 169])).
% 105.31/66.67 tff(172,plain,
% 105.31/66.67 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[171, 167])).
% 105.31/66.67 tff(173,plain,(
% 105.31/66.67 ![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 105.31/66.67 inference(skolemize,[status(sab)],[172])).
% 105.31/66.67 tff(174,plain,
% 105.31/66.67 (![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[173, 166])).
% 105.31/66.67 tff(175,plain,
% 105.31/66.67 (((~![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_client_A_out_9(name_objective))))) <=> ((~![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_A_out_9(name_objective))))),
% 105.31/66.67 inference(rewrite,[status(thm)],[])).
% 105.31/66.67 tff(176,plain,
% 105.31/66.67 ((~![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_client_A_out_9(name_objective))))),
% 105.31/66.67 inference(quant_inst,[status(thm)],[])).
% 105.31/66.67 tff(177,plain,
% 105.31/66.67 ((~![VAR_V_172: $i] : (pred_attacker(VAR_V_172) | (~pred_attacker(tuple_client_A_out_9(VAR_V_172))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_client_A_out_9(name_objective)))),
% 105.31/66.67 inference(modus_ponens,[status(thm)],[176, 175])).
% 105.31/66.67 tff(178,plain,
% 105.31/66.67 (~pred_attacker(tuple_client_A_out_9(name_objective))),
% 105.31/66.67 inference(unit_resolution,[status(thm)],[177, 174, 164])).
% 105.31/66.67 tff(179,plain,
% 105.31/66.67 (^[VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : refl((pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 105.31/66.68 inference(bind,[status(th)],[])).
% 105.31/66.68 tff(180,plain,
% 105.31/66.68 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))) <=> ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))),
% 105.31/66.68 inference(quant_intro,[status(thm)],[179])).
% 105.31/66.68 tff(181,plain,
% 105.31/66.68 (^[VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) <=> (~((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))), ((~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))) <=> (~(~((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))))), rewrite((~(~((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))) <=> ((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))), ((~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))) <=> ((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))), ((pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | ((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))))), rewrite((pred_attacker(tuple_client_A_out_9(name_objective)) | ((~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))), ((pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))))),
% 105.31/66.68 inference(bind,[status(th)],[])).
% 105.31/66.68 tff(182,plain,
% 105.31/66.68 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))),
% 105.31/66.68 inference(quant_intro,[status(thm)],[181])).
% 105.31/66.68 tff(183,plain,
% 105.31/66.68 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) <=> ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 105.31/66.68 inference(rewrite,[status(thm)],[])).
% 105.31/66.68 tff(184,plain,
% 105.31/66.68 (^[VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))), ((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)))), ((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))))), (((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)))), (((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))))), ((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))))), ((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))))), (((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))))), (((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))))), ((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))), ((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) <=> (pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))), (((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))) <=> ((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))))), rewrite(((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))), (((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))))),
% 105.31/66.68 inference(bind,[status(th)],[])).
% 105.31/66.68 tff(185,plain,
% 105.31/66.68 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : ((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective))) <=> ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 105.31/66.69 inference(quant_intro,[status(thm)],[184])).
% 105.31/66.69 tff(186,axiom,(![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : ((((((((pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))) => pred_attacker(tuple_client_A_out_9(name_objective)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax171')).
% 105.31/66.69 tff(187,plain,
% 105.31/66.69 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 105.31/66.69 inference(modus_ponens,[status(thm)],[186, 185])).
% 105.31/66.69 tff(188,plain,
% 105.31/66.69 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 105.31/66.69 inference(modus_ponens,[status(thm)],[187, 183])).
% 105.31/66.69 tff(189,plain,(
% 105.31/66.69 ![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~(pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) & pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599)) & pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))) & pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30)) & pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596)) & pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas))) & pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597)))))),
% 105.31/66.69 inference(skolemize,[status(sab)],[188])).
% 105.31/66.69 tff(190,plain,
% 105.31/66.69 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))),
% 105.31/66.69 inference(modus_ponens,[status(thm)],[189, 182])).
% 105.31/66.69 tff(191,plain,
% 105.31/66.69 (![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))),
% 105.31/66.69 inference(modus_ponens,[status(thm)],[190, 180])).
% 105.31/66.69 tff(192,plain,
% 105.31/66.69 (((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))))) <=> ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))))),
% 105.31/66.69 inference(rewrite,[status(thm)],[])).
% 105.31/66.69 tff(193,plain,
% 105.31/66.69 ((pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1))))) <=> (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))))),
% 105.31/66.69 inference(rewrite,[status(thm)],[])).
% 105.31/66.69 tff(194,plain,
% 105.31/66.69 (((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))))) <=> ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4))))))),
% 105.31/66.69 inference(monotonicity,[status(thm)],[193])).
% 105.31/66.69 tff(195,plain,
% 105.31/66.69 (((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))))) <=> ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))))),
% 105.31/66.69 inference(transitivity,[status(thm)],[194, 192])).
% 105.31/66.69 tff(196,plain,
% 105.31/66.69 ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))))),
% 105.31/66.69 inference(quant_inst,[status(thm)],[])).
% 105.31/66.69 tff(197,plain,
% 105.31/66.69 ((~![VAR_0X40SID_598: $i, VAR_ENC_KAB_A0X27_60X300X30: $i, VAR_ENC_NA_B_ENC_KAB_A_597: $i, VAR_ENC_NB_596: $i, VAR_ENC_SUCC_NA0X27_599: $i] : (pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_attacker(tuple_client_A_in_8(VAR_ENC_SUCC_NA0X27_599))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(VAR_ENC_NB_596, VAR_ENC_NA_B_ENC_KAB_A_597, VAR_0X40SID_598)), constr_cbc_dec_1(VAR_ENC_SUCC_NA0X27_599, constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas))))) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(VAR_ENC_KAB_A0X27_60X300X30, name_Kas)))) | (~pred_attacker(tuple_client_A_in_6(VAR_ENC_KAB_A0X27_60X300X30))) | (~pred_attacker(tuple_client_A_in_4(VAR_ENC_NB_596))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_eq_bitstring_bitstring(name_Na(VAR_0X40SID_598), constr_tuple_4_get_0x30(constr_cbc_dec_4(VAR_ENC_NA_B_ENC_KAB_A_597, name_Kas)))) | (~pred_attacker(tuple_client_A_in_2(VAR_ENC_NA_B_ENC_KAB_A_597))))) | pred_attacker(tuple_client_A_out_9(name_objective)) | (~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4))))),
% 105.31/66.70 inference(modus_ponens,[status(thm)],[196, 195])).
% 105.31/66.70 tff(198,plain,
% 105.31/66.70 ((~pred_eq_bitstring_bitstring(name_A, constr_tuple_2_get_1(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas)))) | (~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4))))),
% 105.31/66.70 inference(unit_resolution,[status(thm)],[197, 191, 178])).
% 105.31/66.70 tff(199,plain,
% 105.31/66.70 ((~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_4(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2))))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_6(tuple_client_A_in_6(constr_CONST_4))))),
% 105.31/66.70 inference(unit_resolution,[status(thm)],[198, 161])).
% 105.31/66.70 tff(200,plain,
% 105.31/66.70 ((~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1)))) | (~pred_attacker(tuple_client_A_in_2(tuple_server_S_out_2(constr_CONST_1))))),
% 105.31/66.70 inference(unit_resolution,[status(thm)],[199, 157, 101])).
% 105.31/66.70 tff(201,plain,
% 105.31/66.70 ((~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_eq_bitstring_bitstring(name_B, constr_tuple_4_get_1(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))) | (~pred_attacker(tuple_client_A_in_8(tuple_client_A_out_5(constr_CONST_1))))),
% 105.31/66.71 inference(unit_resolution,[status(thm)],[200, 78])).
% 105.31/66.71 tff(202,plain,
% 105.31/66.71 ((~pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(tuple_client_B_out_2(tuple_2(constr_CONST_3, constr_CONST_2)), tuple_server_S_out_2(constr_CONST_1), name_I)), constr_cbc_dec_1(tuple_client_A_out_5(constr_CONST_1), constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(tuple_client_A_in_6(constr_CONST_4), name_Kas))))) | (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas))))),
% 105.31/66.71 inference(unit_resolution,[status(thm)],[201, 48, 44])).
% 105.31/66.71 tff(203,plain,
% 105.31/66.71 (~pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))),
% 105.31/66.71 inference(unit_resolution,[status(thm)],[202, 11])).
% 105.31/66.71 tff(204,plain,
% 105.31/66.71 ((~![VAR_X_81: $i, VAR_Y_82: $i] : pred_eq_bitstring_bitstring(VAR_X_81, VAR_Y_82)) | pred_eq_bitstring_bitstring(name_Na(name_I), constr_tuple_4_get_0x30(constr_cbc_dec_4(tuple_server_S_out_2(constr_CONST_1), name_Kas)))),
% 105.31/66.71 inference(quant_inst,[status(thm)],[])).
% 105.31/66.71 tff(205,plain,
% 105.31/66.71 ($false),
% 105.31/66.71 inference(unit_resolution,[status(thm)],[204, 8, 203])).
% 105.31/66.71 % SZS output end Proof
%------------------------------------------------------------------------------