TSTP Solution File: SWW967+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW967+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n012.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 : Wed May 29 18:20:51 EDT 2024
% Result : Theorem 0.47s 0.63s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW967+1 : TPTP v8.2.0. Released v7.4.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 26 05:19:09 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.47/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.47/0.63 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.Iu7rL3BWst/cvc5---1.0.5_25845.smt2
% 0.47/0.63 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.Iu7rL3BWst/cvc5---1.0.5_25845.smt2
% 0.47/0.63 (assume a0 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_1)))
% 0.47/0.63 (assume a1 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_2)))
% 0.47/0.63 (assume a2 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_3)))
% 0.47/0.63 (assume a3 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_4)))
% 0.47/0.63 (assume a4 (not (= tptp.constr_CONST_0x30 tptp.name_A)))
% 0.47/0.63 (assume a5 (not (= tptp.constr_CONST_0x30 tptp.name_B)))
% 0.47/0.63 (assume a6 (not (= tptp.constr_CONST_0x30 tptp.name_I)))
% 0.47/0.63 (assume a7 (not (= tptp.constr_CONST_0x30 tptp.name_Kas)))
% 0.47/0.63 (assume a8 (not (= tptp.constr_CONST_0x30 tptp.name_Kbs)))
% 0.47/0.63 (assume a9 (not (= tptp.constr_CONST_0x30 tptp.name_c)))
% 0.47/0.63 (assume a10 (not (= tptp.constr_CONST_0x30 tptp.name_objective)))
% 0.47/0.63 (assume a11 (not (= tptp.constr_CONST_1 tptp.constr_CONST_2)))
% 0.47/0.63 (assume a12 (not (= tptp.constr_CONST_1 tptp.constr_CONST_3)))
% 0.47/0.63 (assume a13 (not (= tptp.constr_CONST_1 tptp.constr_CONST_4)))
% 0.47/0.63 (assume a14 (not (= tptp.constr_CONST_1 tptp.name_A)))
% 0.47/0.63 (assume a15 (not (= tptp.constr_CONST_1 tptp.name_B)))
% 0.47/0.63 (assume a16 (not (= tptp.constr_CONST_1 tptp.name_I)))
% 0.47/0.63 (assume a17 (not (= tptp.constr_CONST_1 tptp.name_Kas)))
% 0.47/0.63 (assume a18 (not (= tptp.constr_CONST_1 tptp.name_Kbs)))
% 0.47/0.63 (assume a19 (not (= tptp.constr_CONST_1 tptp.name_c)))
% 0.47/0.63 (assume a20 (not (= tptp.constr_CONST_1 tptp.name_objective)))
% 0.47/0.63 (assume a21 (not (= tptp.constr_CONST_2 tptp.constr_CONST_3)))
% 0.47/0.63 (assume a22 (not (= tptp.constr_CONST_2 tptp.constr_CONST_4)))
% 0.47/0.63 (assume a23 (not (= tptp.constr_CONST_2 tptp.name_A)))
% 0.47/0.63 (assume a24 (not (= tptp.constr_CONST_2 tptp.name_B)))
% 0.47/0.63 (assume a25 (not (= tptp.constr_CONST_2 tptp.name_I)))
% 0.47/0.63 (assume a26 (not (= tptp.constr_CONST_2 tptp.name_Kas)))
% 0.47/0.63 (assume a27 (not (= tptp.constr_CONST_2 tptp.name_Kbs)))
% 0.47/0.63 (assume a28 (not (= tptp.constr_CONST_2 tptp.name_c)))
% 0.47/0.63 (assume a29 (not (= tptp.constr_CONST_2 tptp.name_objective)))
% 0.47/0.63 (assume a30 (not (= tptp.constr_CONST_3 tptp.constr_CONST_4)))
% 0.47/0.63 (assume a31 (not (= tptp.constr_CONST_3 tptp.name_A)))
% 0.47/0.63 (assume a32 (not (= tptp.constr_CONST_3 tptp.name_B)))
% 0.47/0.63 (assume a33 (not (= tptp.constr_CONST_3 tptp.name_I)))
% 0.47/0.63 (assume a34 (not (= tptp.constr_CONST_3 tptp.name_Kas)))
% 0.47/0.63 (assume a35 (not (= tptp.constr_CONST_3 tptp.name_Kbs)))
% 0.47/0.63 (assume a36 (not (= tptp.constr_CONST_3 tptp.name_c)))
% 0.47/0.63 (assume a37 (not (= tptp.constr_CONST_3 tptp.name_objective)))
% 0.47/0.63 (assume a38 (not (= tptp.constr_CONST_4 tptp.name_A)))
% 0.47/0.63 (assume a39 (not (= tptp.constr_CONST_4 tptp.name_B)))
% 0.47/0.63 (assume a40 (not (= tptp.constr_CONST_4 tptp.name_I)))
% 0.47/0.63 (assume a41 (not (= tptp.constr_CONST_4 tptp.name_Kas)))
% 0.47/0.63 (assume a42 (not (= tptp.constr_CONST_4 tptp.name_Kbs)))
% 0.47/0.63 (assume a43 (not (= tptp.constr_CONST_4 tptp.name_c)))
% 0.47/0.63 (assume a44 (not (= tptp.constr_CONST_4 tptp.name_objective)))
% 0.47/0.63 (assume a45 (not (= tptp.name_A tptp.name_B)))
% 0.47/0.63 (assume a46 (not (= tptp.name_A tptp.name_I)))
% 0.47/0.63 (assume a47 (not (= tptp.name_A tptp.name_Kas)))
% 0.47/0.64 (assume a48 (not (= tptp.name_A tptp.name_Kbs)))
% 0.47/0.64 (assume a49 (not (= tptp.name_A tptp.name_c)))
% 0.47/0.64 (assume a50 (not (= tptp.name_A tptp.name_objective)))
% 0.47/0.64 (assume a51 (not (= tptp.name_B tptp.name_I)))
% 0.47/0.64 (assume a52 (not (= tptp.name_B tptp.name_Kas)))
% 0.47/0.64 (assume a53 (not (= tptp.name_B tptp.name_Kbs)))
% 0.47/0.64 (assume a54 (not (= tptp.name_B tptp.name_c)))
% 0.47/0.64 (assume a55 (not (= tptp.name_B tptp.name_objective)))
% 0.47/0.64 (assume a56 (not (= tptp.name_I tptp.name_Kas)))
% 0.47/0.64 (assume a57 (not (= tptp.name_I tptp.name_Kbs)))
% 0.47/0.64 (assume a58 (not (= tptp.name_I tptp.name_c)))
% 0.47/0.64 (assume a59 (not (= tptp.name_I tptp.name_objective)))
% 0.47/0.64 (assume a60 (not (= tptp.name_Kas tptp.name_Kbs)))
% 0.47/0.64 (assume a61 (not (= tptp.name_Kas tptp.name_c)))
% 0.47/0.64 (assume a62 (not (= tptp.name_Kas tptp.name_objective)))
% 0.47/0.64 (assume a63 (not (= tptp.name_Kbs tptp.name_c)))
% 0.47/0.64 (assume a64 (not (= tptp.name_Kbs tptp.name_objective)))
% 0.47/0.64 (assume a65 (not (= tptp.name_c tptp.name_objective)))
% 0.47/0.64 (assume a66 (forall ((VAR_K_62 $$unsorted) (VAR_X0X30_58 $$unsorted) (VAR_X1_59 $$unsorted) (VAR_X2_60X30 $$unsorted) (VAR_X3_61 $$unsorted)) (= (tptp.constr_cbc_dec_4 (tptp.constr_cbc_enc_4 VAR_X0X30_58 VAR_X1_59 VAR_X2_60X30 VAR_X3_61 VAR_K_62) VAR_K_62) (tptp.tuple_4 VAR_X0X30_58 VAR_X1_59 VAR_X2_60X30 VAR_X3_61))))
% 0.47/0.64 (assume a67 (forall ((VAR_K_57 $$unsorted) (VAR_X0X30_54 $$unsorted) (VAR_X1_55 $$unsorted) (VAR_X2_56 $$unsorted)) (= (tptp.constr_cbc_dec_3 (tptp.constr_cbc_enc_3 VAR_X0X30_54 VAR_X1_55 VAR_X2_56 VAR_K_57) VAR_K_57) (tptp.tuple_3 VAR_X0X30_54 VAR_X1_55 VAR_X2_56))))
% 0.47/0.64 (assume a68 (forall ((VAR_K_53 $$unsorted) (VAR_X0X30_51 $$unsorted) (VAR_X1_52 $$unsorted)) (= (tptp.constr_cbc_dec_2 (tptp.constr_cbc_enc_2 VAR_X0X30_51 VAR_X1_52 VAR_K_53) VAR_K_53) (tptp.tuple_2 VAR_X0X30_51 VAR_X1_52))))
% 0.47/0.64 (assume a69 (forall ((VAR_K_50X30 $$unsorted) (VAR_X0X30_49 $$unsorted)) (= (tptp.constr_cbc_dec_1 (tptp.constr_cbc_enc_1 VAR_X0X30_49 VAR_K_50X30) VAR_K_50X30) VAR_X0X30_49)))
% 0.47/0.64 (assume a70 (forall ((VAR_K_48 $$unsorted) (VAR_X0X30_44 $$unsorted) (VAR_X1_45 $$unsorted) (VAR_X2_46 $$unsorted) (VAR_X3_47 $$unsorted)) (= (tptp.constr_cbc_4_get_3_prefixes (tptp.constr_cbc_enc_4 VAR_X0X30_44 VAR_X1_45 VAR_X2_46 VAR_X3_47 VAR_K_48)) (tptp.constr_cbc_enc_3 VAR_X0X30_44 VAR_X1_45 VAR_X2_46 VAR_K_48))))
% 0.47/0.64 (assume a71 (forall ((VAR_K_43 $$unsorted) (VAR_X0X30_39 $$unsorted) (VAR_X1_40X30 $$unsorted) (VAR_X2_41 $$unsorted) (VAR_X3_42 $$unsorted)) (= (tptp.constr_cbc_4_get_2_prefixes (tptp.constr_cbc_enc_4 VAR_X0X30_39 VAR_X1_40X30 VAR_X2_41 VAR_X3_42 VAR_K_43)) (tptp.constr_cbc_enc_2 VAR_X0X30_39 VAR_X1_40X30 VAR_K_43))))
% 0.47/0.64 (assume a72 (forall ((VAR_K_38 $$unsorted) (VAR_X0X30_34 $$unsorted) (VAR_X1_35 $$unsorted) (VAR_X2_36 $$unsorted) (VAR_X3_37 $$unsorted)) (= (tptp.constr_cbc_4_get_1_prefixes (tptp.constr_cbc_enc_4 VAR_X0X30_34 VAR_X1_35 VAR_X2_36 VAR_X3_37 VAR_K_38)) (tptp.constr_cbc_enc_1 VAR_X0X30_34 VAR_K_38))))
% 0.47/0.64 (assume a73 (forall ((VAR_K_33 $$unsorted) (VAR_X0X30_30X30 $$unsorted) (VAR_X1_31 $$unsorted) (VAR_X2_32 $$unsorted)) (= (tptp.constr_cbc_3_get_2_prefixes (tptp.constr_cbc_enc_3 VAR_X0X30_30X30 VAR_X1_31 VAR_X2_32 VAR_K_33)) (tptp.constr_cbc_enc_2 VAR_X0X30_30X30 VAR_X1_31 VAR_K_33))))
% 0.47/0.64 (assume a74 (forall ((VAR_K_29 $$unsorted) (VAR_X0X30_26 $$unsorted) (VAR_X1_27 $$unsorted) (VAR_X2_28 $$unsorted)) (= (tptp.constr_cbc_3_get_1_prefixes (tptp.constr_cbc_enc_3 VAR_X0X30_26 VAR_X1_27 VAR_X2_28 VAR_K_29)) (tptp.constr_cbc_enc_1 VAR_X0X30_26 VAR_K_29))))
% 0.47/0.64 (assume a75 (forall ((VAR_K_25 $$unsorted) (VAR_X0X30_23 $$unsorted) (VAR_X1_24 $$unsorted)) (= (tptp.constr_cbc_2_get_1_prefixes (tptp.constr_cbc_enc_2 VAR_X0X30_23 VAR_X1_24 VAR_K_25)) (tptp.constr_cbc_enc_1 VAR_X0X30_23 VAR_K_25))))
% 0.47/0.64 (assume a76 (forall ((VAR_K_0X30 $$unsorted) (VAR_M_0X30 $$unsorted)) (= (tptp.constr_dec (tptp.constr_enc VAR_M_0X30 VAR_K_0X30) VAR_K_0X30) VAR_M_0X30)))
% 0.47/0.64 (assume a77 (forall ((VAR_X0X30_19 $$unsorted) (VAR_X1_20X30 $$unsorted) (VAR_X2_21 $$unsorted) (VAR_X3_22 $$unsorted)) (= (tptp.constr_tuple_4_get_3_bitstring (tptp.tuple_4 VAR_X0X30_19 VAR_X1_20X30 VAR_X2_21 VAR_X3_22)) VAR_X3_22)))
% 0.47/0.64 (assume a78 (forall ((VAR_X0X30_15 $$unsorted) (VAR_X1_16 $$unsorted) (VAR_X2_17 $$unsorted) (VAR_X3_18 $$unsorted)) (= (tptp.constr_tuple_4_get_2_bitstring (tptp.tuple_4 VAR_X0X30_15 VAR_X1_16 VAR_X2_17 VAR_X3_18)) VAR_X2_17)))
% 0.47/0.64 (assume a79 (forall ((VAR_X0X30_13 $$unsorted) (VAR_X1_14 $$unsorted)) (= (tptp.constr_tuple_2_get_0x30_bitstring (tptp.tuple_2 VAR_X0X30_13 VAR_X1_14)) VAR_X0X30_13)))
% 0.47/0.64 (assume a80 (forall ((VAR_X0X30_9 $$unsorted) (VAR_X1_10X30 $$unsorted) (VAR_X2_11 $$unsorted) (VAR_X3_12 $$unsorted)) (= (tptp.constr_tuple_4_get_1 (tptp.tuple_4 VAR_X0X30_9 VAR_X1_10X30 VAR_X2_11 VAR_X3_12)) VAR_X1_10X30)))
% 0.47/0.64 (assume a81 (forall ((VAR_X0X30_7 $$unsorted) (VAR_X1_8 $$unsorted) (VAR_X2_0X30 $$unsorted) (VAR_X3_0X30 $$unsorted)) (= (tptp.constr_tuple_4_get_0x30 (tptp.tuple_4 VAR_X0X30_7 VAR_X1_8 VAR_X2_0X30 VAR_X3_0X30)) VAR_X0X30_7)))
% 0.47/0.64 (assume a82 (forall ((VAR_X0X30_0X30 $$unsorted) (VAR_X1_0X30 $$unsorted)) (= (tptp.constr_tuple_2_get_1 (tptp.tuple_2 VAR_X0X30_0X30 VAR_X1_0X30)) VAR_X1_0X30)))
% 0.47/0.64 (assume a83 (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)))
% 0.47/0.64 (assume a84 (forall ((VAR_V_88 $$unsorted)) (=> (tptp.pred_attacker VAR_V_88) (tptp.pred_attacker (tptp.constr_tuple_4_get_3_bitstring VAR_V_88)))))
% 0.47/0.64 (assume a85 (forall ((VAR_V_90X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_90X30) (tptp.pred_attacker (tptp.constr_tuple_4_get_2_bitstring VAR_V_90X30)))))
% 0.47/0.64 (assume a86 (forall ((VAR_V_92 $$unsorted)) (=> (tptp.pred_attacker VAR_V_92) (tptp.pred_attacker (tptp.constr_tuple_4_get_1 VAR_V_92)))))
% 0.47/0.64 (assume a87 (forall ((VAR_V_94 $$unsorted)) (=> (tptp.pred_attacker VAR_V_94) (tptp.pred_attacker (tptp.constr_tuple_4_get_0x30 VAR_V_94)))))
% 0.47/0.64 (assume a88 (forall ((VAR_V_96 $$unsorted)) (=> (tptp.pred_attacker VAR_V_96) (tptp.pred_attacker (tptp.constr_tuple_2_get_1 VAR_V_96)))))
% 0.47/0.64 (assume a89 (forall ((VAR_V_98 $$unsorted)) (=> (tptp.pred_attacker VAR_V_98) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30_bitstring VAR_V_98)))))
% 0.47/0.64 (assume a90 (tptp.pred_attacker tptp.tuple_true))
% 0.47/0.64 (assume a91 (forall ((VAR_V_10X300X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_10X300X30) (tptp.pred_attacker (tptp.tuple_succ VAR_V_10X300X30)))))
% 0.47/0.64 (assume a92 (forall ((VAR_V_10X303 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_succ VAR_V_10X303)) (tptp.pred_attacker VAR_V_10X303))))
% 0.47/0.64 (assume a93 (forall ((VAR_V_10X306 $$unsorted)) (=> (tptp.pred_attacker VAR_V_10X306) (tptp.pred_attacker (tptp.tuple_server_S_out_2 VAR_V_10X306)))))
% 0.47/0.64 (assume a94 (forall ((VAR_V_10X309 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_server_S_out_2 VAR_V_10X309)) (tptp.pred_attacker VAR_V_10X309))))
% 0.47/0.64 (assume a95 (forall ((VAR_V_114 $$unsorted) (VAR_V_115 $$unsorted) (VAR_V_116 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_114) (tptp.pred_attacker VAR_V_115) (tptp.pred_attacker VAR_V_116)) (tptp.pred_attacker (tptp.tuple_server_S_in_1 VAR_V_114 VAR_V_115 VAR_V_116)))))
% 0.47/0.64 (assume a96 (forall ((VAR_V_129 $$unsorted) (VAR_V_130X30 $$unsorted) (VAR_V_131 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_server_S_in_1 VAR_V_129 VAR_V_130X30 VAR_V_131)) (tptp.pred_attacker VAR_V_129))))
% 0.47/0.64 (assume a97 (forall ((VAR_V_133 $$unsorted) (VAR_V_134 $$unsorted) (VAR_V_135 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_server_S_in_1 VAR_V_133 VAR_V_134 VAR_V_135)) (tptp.pred_attacker VAR_V_134))))
% 0.47/0.64 (assume a98 (forall ((VAR_V_137 $$unsorted) (VAR_V_138 $$unsorted) (VAR_V_139 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_server_S_in_1 VAR_V_137 VAR_V_138 VAR_V_139)) (tptp.pred_attacker VAR_V_139))))
% 0.47/0.64 (assume a99 (tptp.pred_attacker tptp.tuple_false))
% 0.47/0.64 (assume a100 (forall ((VAR_V_144 $$unsorted) (VAR_V_145 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_144) (tptp.pred_attacker VAR_V_145)) (tptp.pred_attacker (tptp.constr_enc VAR_V_144 VAR_V_145)))))
% 0.47/0.64 (assume a101 (forall ((VAR_V_148 $$unsorted) (VAR_V_149 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_148) (tptp.pred_attacker VAR_V_149)) (tptp.pred_attacker (tptp.constr_dec VAR_V_148 VAR_V_149)))))
% 0.47/0.64 (assume a102 (forall ((VAR_V_151 $$unsorted)) (=> (tptp.pred_attacker VAR_V_151) (tptp.pred_attacker (tptp.tuple_client_B_out_2 VAR_V_151)))))
% 0.47/0.64 (assume a103 (forall ((VAR_V_154 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_2 VAR_V_154)) (tptp.pred_attacker VAR_V_154))))
% 0.47/0.64 (assume a104 (forall ((VAR_V_157 $$unsorted)) (=> (tptp.pred_attacker VAR_V_157) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))))
% 0.47/0.64 (assume a105 (forall ((VAR_V_160X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_160X30)) (tptp.pred_attacker VAR_V_160X30))))
% 0.47/0.64 (assume a106 (forall ((VAR_V_163 $$unsorted)) (=> (tptp.pred_attacker VAR_V_163) (tptp.pred_attacker (tptp.tuple_client_B_in_1 VAR_V_163)))))
% 0.47/0.64 (assume a107 (forall ((VAR_V_166 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_1 VAR_V_166)) (tptp.pred_attacker VAR_V_166))))
% 0.47/0.64 (assume a108 (forall ((VAR_V_169 $$unsorted)) (=> (tptp.pred_attacker VAR_V_169) (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_169)))))
% 0.47/0.64 (assume a109 (forall ((VAR_V_172 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172)) (tptp.pred_attacker VAR_V_172))))
% 0.47/0.64 (assume a110 (forall ((VAR_V_175 $$unsorted)) (=> (tptp.pred_attacker VAR_V_175) (tptp.pred_attacker (tptp.tuple_client_A_out_7 VAR_V_175)))))
% 0.47/0.64 (assume a111 (forall ((VAR_V_178 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_7 VAR_V_178)) (tptp.pred_attacker VAR_V_178))))
% 0.47/0.64 (assume a112 (forall ((VAR_V_181 $$unsorted)) (=> (tptp.pred_attacker VAR_V_181) (tptp.pred_attacker (tptp.tuple_client_A_out_5 VAR_V_181)))))
% 0.47/0.64 (assume a113 (forall ((VAR_V_184 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_5 VAR_V_184)) (tptp.pred_attacker VAR_V_184))))
% 0.47/0.64 (assume a114 (forall ((VAR_V_187 $$unsorted)) (=> (tptp.pred_attacker VAR_V_187) (tptp.pred_attacker (tptp.tuple_client_A_out_3 VAR_V_187)))))
% 0.47/0.64 (assume a115 (forall ((VAR_V_190X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_3 VAR_V_190X30)) (tptp.pred_attacker VAR_V_190X30))))
% 0.47/0.64 (assume a116 (forall ((VAR_V_195 $$unsorted) (VAR_V_196 $$unsorted) (VAR_V_197 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_195) (tptp.pred_attacker VAR_V_196) (tptp.pred_attacker VAR_V_197)) (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_195 VAR_V_196 VAR_V_197)))))
% 0.47/0.64 (assume a117 (forall ((VAR_V_210X30 $$unsorted) (VAR_V_211 $$unsorted) (VAR_V_212 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_210X30 VAR_V_211 VAR_V_212)) (tptp.pred_attacker VAR_V_210X30))))
% 0.47/0.64 (assume a118 (forall ((VAR_V_214 $$unsorted) (VAR_V_215 $$unsorted) (VAR_V_216 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_214 VAR_V_215 VAR_V_216)) (tptp.pred_attacker VAR_V_215))))
% 0.47/0.64 (assume a119 (forall ((VAR_V_218 $$unsorted) (VAR_V_219 $$unsorted) (VAR_V_220X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_218 VAR_V_219 VAR_V_220X30)) (tptp.pred_attacker VAR_V_220X30))))
% 0.47/0.64 (assume a120 (forall ((VAR_V_223 $$unsorted)) (=> (tptp.pred_attacker VAR_V_223) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))))
% 0.47/0.64 (assume a121 (forall ((VAR_V_226 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_226)) (tptp.pred_attacker VAR_V_226))))
% 0.47/0.64 (assume a122 (forall ((VAR_V_229 $$unsorted)) (=> (tptp.pred_attacker VAR_V_229) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))))
% 0.47/0.64 (assume a123 (forall ((VAR_V_232 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_232)) (tptp.pred_attacker VAR_V_232))))
% 0.47/0.64 (assume a124 (forall ((VAR_V_235 $$unsorted)) (=> (tptp.pred_attacker VAR_V_235) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))))
% 0.47/0.64 (assume a125 (forall ((VAR_V_238 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_238)) (tptp.pred_attacker VAR_V_238))))
% 0.47/0.64 (assume a126 (forall ((VAR_V_241 $$unsorted)) (=> (tptp.pred_attacker VAR_V_241) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))))
% 0.47/0.64 (assume a127 (forall ((VAR_V_244 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_244)) (tptp.pred_attacker VAR_V_244))))
% 0.47/0.64 (assume a128 (forall ((VAR_V_251 $$unsorted) (VAR_V_252 $$unsorted) (VAR_V_253 $$unsorted) (VAR_V_254 $$unsorted) (VAR_V_255 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_251) (tptp.pred_attacker VAR_V_252) (tptp.pred_attacker VAR_V_253) (tptp.pred_attacker VAR_V_254) (tptp.pred_attacker VAR_V_255)) (tptp.pred_attacker (tptp.constr_cbc_enc_4 VAR_V_251 VAR_V_252 VAR_V_253 VAR_V_254 VAR_V_255)))))
% 0.47/0.64 (assume a129 (forall ((VAR_V_260X30 $$unsorted) (VAR_V_261 $$unsorted) (VAR_V_262 $$unsorted) (VAR_V_263 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_260X30) (tptp.pred_attacker VAR_V_261) (tptp.pred_attacker VAR_V_262) (tptp.pred_attacker VAR_V_263)) (tptp.pred_attacker (tptp.constr_cbc_enc_3 VAR_V_260X30 VAR_V_261 VAR_V_262 VAR_V_263)))))
% 0.47/0.64 (assume a130 (forall ((VAR_V_267 $$unsorted) (VAR_V_268 $$unsorted) (VAR_V_269 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_267) (tptp.pred_attacker VAR_V_268) (tptp.pred_attacker VAR_V_269)) (tptp.pred_attacker (tptp.constr_cbc_enc_2 VAR_V_267 VAR_V_268 VAR_V_269)))))
% 0.47/0.64 (assume a131 (forall ((VAR_V_272 $$unsorted) (VAR_V_273 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_272) (tptp.pred_attacker VAR_V_273)) (tptp.pred_attacker (tptp.constr_cbc_enc_1 VAR_V_272 VAR_V_273)))))
% 0.47/0.64 (assume a132 (forall ((VAR_V_276 $$unsorted) (VAR_V_277 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_276) (tptp.pred_attacker VAR_V_277)) (tptp.pred_attacker (tptp.constr_cbc_dec_4 VAR_V_276 VAR_V_277)))))
% 0.47/0.64 (assume a133 (forall ((VAR_V_280X30 $$unsorted) (VAR_V_281 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_280X30) (tptp.pred_attacker VAR_V_281)) (tptp.pred_attacker (tptp.constr_cbc_dec_3 VAR_V_280X30 VAR_V_281)))))
% 0.47/0.64 (assume a134 (forall ((VAR_V_284 $$unsorted) (VAR_V_285 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_284) (tptp.pred_attacker VAR_V_285)) (tptp.pred_attacker (tptp.constr_cbc_dec_2 VAR_V_284 VAR_V_285)))))
% 0.47/0.64 (assume a135 (forall ((VAR_V_288 $$unsorted) (VAR_V_289 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_288) (tptp.pred_attacker VAR_V_289)) (tptp.pred_attacker (tptp.constr_cbc_dec_1 VAR_V_288 VAR_V_289)))))
% 0.47/0.64 (assume a136 (forall ((VAR_V_291 $$unsorted)) (=> (tptp.pred_attacker VAR_V_291) (tptp.pred_attacker (tptp.constr_cbc_4_get_3_prefixes VAR_V_291)))))
% 0.47/0.64 (assume a137 (forall ((VAR_V_293 $$unsorted)) (=> (tptp.pred_attacker VAR_V_293) (tptp.pred_attacker (tptp.constr_cbc_4_get_2_prefixes VAR_V_293)))))
% 0.47/0.64 (assume a138 (forall ((VAR_V_295 $$unsorted)) (=> (tptp.pred_attacker VAR_V_295) (tptp.pred_attacker (tptp.constr_cbc_4_get_1_prefixes VAR_V_295)))))
% 0.47/0.64 (assume a139 (forall ((VAR_V_297 $$unsorted)) (=> (tptp.pred_attacker VAR_V_297) (tptp.pred_attacker (tptp.constr_cbc_3_get_2_prefixes VAR_V_297)))))
% 0.47/0.64 (assume a140 (forall ((VAR_V_299 $$unsorted)) (=> (tptp.pred_attacker VAR_V_299) (tptp.pred_attacker (tptp.constr_cbc_3_get_1_prefixes VAR_V_299)))))
% 0.47/0.64 (assume a141 (forall ((VAR_V_30X301 $$unsorted)) (=> (tptp.pred_attacker VAR_V_30X301) (tptp.pred_attacker (tptp.constr_cbc_2_get_1_prefixes VAR_V_30X301)))))
% 0.47/0.64 (assume a142 (tptp.pred_attacker tptp.constr_CONST_4))
% 0.47/0.64 (assume a143 (tptp.pred_attacker tptp.constr_CONST_3))
% 0.47/0.64 (assume a144 (tptp.pred_attacker tptp.constr_CONST_2))
% 0.47/0.64 (assume a145 (tptp.pred_attacker tptp.constr_CONST_1))
% 0.47/0.64 (assume a146 (tptp.pred_attacker tptp.constr_CONST_0x30))
% 0.47/0.64 (assume a147 (forall ((VAR_V_310X30 $$unsorted) (VAR_V_311 $$unsorted) (VAR_V_312 $$unsorted) (VAR_V_313 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_310X30) (tptp.pred_attacker VAR_V_311) (tptp.pred_attacker VAR_V_312) (tptp.pred_attacker VAR_V_313)) (tptp.pred_attacker (tptp.tuple_4 VAR_V_310X30 VAR_V_311 VAR_V_312 VAR_V_313)))))
% 0.47/0.64 (assume a148 (forall ((VAR_V_334 $$unsorted) (VAR_V_335 $$unsorted) (VAR_V_336 $$unsorted) (VAR_V_337 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_4 VAR_V_334 VAR_V_335 VAR_V_336 VAR_V_337)) (tptp.pred_attacker VAR_V_334))))
% 0.47/0.64 (assume a149 (forall ((VAR_V_339 $$unsorted) (VAR_V_340X30 $$unsorted) (VAR_V_341 $$unsorted) (VAR_V_342 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_4 VAR_V_339 VAR_V_340X30 VAR_V_341 VAR_V_342)) (tptp.pred_attacker VAR_V_340X30))))
% 0.47/0.64 (assume a150 (forall ((VAR_V_344 $$unsorted) (VAR_V_345 $$unsorted) (VAR_V_346 $$unsorted) (VAR_V_347 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_4 VAR_V_344 VAR_V_345 VAR_V_346 VAR_V_347)) (tptp.pred_attacker VAR_V_346))))
% 0.47/0.64 (assume a151 (forall ((VAR_V_349 $$unsorted) (VAR_V_350X30 $$unsorted) (VAR_V_351 $$unsorted) (VAR_V_352 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_4 VAR_V_349 VAR_V_350X30 VAR_V_351 VAR_V_352)) (tptp.pred_attacker VAR_V_352))))
% 0.47/0.64 (assume a152 (forall ((VAR_V_357 $$unsorted) (VAR_V_358 $$unsorted) (VAR_V_359 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_357) (tptp.pred_attacker VAR_V_358) (tptp.pred_attacker VAR_V_359)) (tptp.pred_attacker (tptp.tuple_3 VAR_V_357 VAR_V_358 VAR_V_359)))))
% 0.47/0.64 (assume a153 (forall ((VAR_V_372 $$unsorted) (VAR_V_373 $$unsorted) (VAR_V_374 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_3 VAR_V_372 VAR_V_373 VAR_V_374)) (tptp.pred_attacker VAR_V_372))))
% 0.47/0.64 (assume a154 (forall ((VAR_V_376 $$unsorted) (VAR_V_377 $$unsorted) (VAR_V_378 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_3 VAR_V_376 VAR_V_377 VAR_V_378)) (tptp.pred_attacker VAR_V_377))))
% 0.47/0.64 (assume a155 (forall ((VAR_V_380X30 $$unsorted) (VAR_V_381 $$unsorted) (VAR_V_382 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_3 VAR_V_380X30 VAR_V_381 VAR_V_382)) (tptp.pred_attacker VAR_V_382))))
% 0.47/0.64 (assume a156 (forall ((VAR_V_386 $$unsorted) (VAR_V_387 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_386) (tptp.pred_attacker VAR_V_387)) (tptp.pred_attacker (tptp.tuple_2 VAR_V_386 VAR_V_387)))))
% 0.47/0.64 (assume a157 (forall ((VAR_V_394 $$unsorted) (VAR_V_395 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_2 VAR_V_394 VAR_V_395)) (tptp.pred_attacker VAR_V_394))))
% 0.47/0.64 (assume a158 (forall ((VAR_V_397 $$unsorted) (VAR_V_398 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_2 VAR_V_397 VAR_V_398)) (tptp.pred_attacker VAR_V_398))))
% 0.47/0.64 (assume a159 (forall ((VAR_V_40X300X30 $$unsorted) (VAR_V_40X301 $$unsorted)) (=> (and (tptp.pred_mess VAR_V_40X301 VAR_V_40X300X30) (tptp.pred_attacker VAR_V_40X301)) (tptp.pred_attacker VAR_V_40X300X30))))
% 0.47/0.64 (assume a160 (forall ((VAR_V_40X302 $$unsorted) (VAR_V_40X303 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_40X303) (tptp.pred_attacker VAR_V_40X302)) (tptp.pred_mess VAR_V_40X303 VAR_V_40X302))))
% 0.47/0.64 (assume a161 (tptp.pred_attacker tptp.name_c))
% 0.47/0.64 (assume a162 (tptp.pred_attacker tptp.name_I))
% 0.47/0.64 (assume a163 (tptp.pred_attacker tptp.name_B))
% 0.47/0.64 (assume a164 (tptp.pred_attacker tptp.name_A))
% 0.47/0.64 (assume a165 (forall ((VAR_V_40X305 $$unsorted)) (tptp.pred_equal VAR_V_40X305 VAR_V_40X305)))
% 0.47/0.64 (assume a166 (forall ((VAR_V_40X306 $$unsorted)) (tptp.pred_attacker (tptp.name_new0x2Dname VAR_V_40X306))))
% 0.47/0.64 (assume a167 (forall ((VAR_0X40SID_420X30 $$unsorted)) (tptp.pred_attacker (tptp.tuple_client_A_out_1 tptp.name_A tptp.name_B (tptp.name_Na VAR_0X40SID_420X30)))))
% 0.47/0.64 (assume a168 (forall ((VAR_0X40SID_491 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_490X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_490X30 tptp.name_Kas))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_491) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_490X30 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_490X30))) (tptp.pred_attacker (tptp.tuple_client_A_out_3 (tptp.constr_tuple_4_get_3_bitstring (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_490X30 tptp.name_Kas)))))))
% 0.47/0.64 (assume a169 (forall ((VAR_0X40SID_523 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_522 $$unsorted) (VAR_ENC_NB_521 $$unsorted)) (=> (and (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_521)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_522 tptp.name_Kas))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_523) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_522 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_522))) (tptp.pred_attacker (tptp.tuple_client_A_out_5 (tptp.constr_cbc_enc_1 (tptp.tuple_succ (tptp.constr_cbc_dec_1 VAR_ENC_NB_521 (tptp.constr_tuple_4_get_2_bitstring (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_522 tptp.name_Kas)))) (tptp.constr_tuple_4_get_2_bitstring (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_522 tptp.name_Kas))))))))
% 0.47/0.64 (assume a170 (forall ((VAR_0X40SID_572 $$unsorted) (VAR_ENC_KAB_A0X27_569 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_571 $$unsorted) (VAR_ENC_NB_570X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_569 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_569)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_570X30)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_571 tptp.name_Kas))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_572) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_571 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_571))) (tptp.pred_attacker (tptp.tuple_client_A_out_7 (tptp.constr_cbc_enc_1 (tptp.name_Na0x27 VAR_ENC_NB_570X30 VAR_ENC_NA_B_ENC_KAB_A_571 VAR_0X40SID_572) (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_569 tptp.name_Kas))))))))
% 0.47/0.64 (assume a171 (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))) (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)))))
% 0.47/0.64 (assume a172 (forall ((VAR_0X40SID_662 $$unsorted) (VAR_ENC_KAB_A_661 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A_661 tptp.name_Kbs))) (tptp.pred_attacker (tptp.tuple_client_B_in_1 VAR_ENC_KAB_A_661))) (tptp.pred_attacker (tptp.tuple_client_B_out_2 (tptp.constr_cbc_enc_1 (tptp.name_Nb_63 VAR_0X40SID_662) (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A_661 tptp.name_Kbs))))))))
% 0.47/0.64 (assume a173 (forall ((VAR_0X40SID_732 $$unsorted) (VAR_A_729 $$unsorted) (VAR_B_730X30 $$unsorted) (VAR_NA_731 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_server_S_in_1 VAR_A_729 VAR_B_730X30 VAR_NA_731)) (tptp.pred_attacker (tptp.tuple_server_S_out_2 (tptp.constr_cbc_enc_4 VAR_NA_731 VAR_B_730X30 (tptp.name_Kab_66 VAR_0X40SID_732) (tptp.constr_cbc_enc_2 (tptp.name_Kab_66 VAR_0X40SID_732) VAR_A_729 tptp.name_Kbs) tptp.name_Kas))))))
% 0.47/0.64 (assume a174 (not (tptp.pred_attacker tptp.name_objective)))
% 0.47/0.64 (assume a175 true)
% 0.47/0.64 (step t1 (cl (=> (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172)))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t2)
% 0.47/0.64 (assume t2.a0 (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))))
% 0.47/0.64 (step t2.t1 (cl (or (not (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172)))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule forall_inst :args ((:= VAR_V_172 tptp.name_objective)))
% 0.47/0.64 (step t2.t2 (cl (not (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172)))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule or :premises (t2.t1))
% 0.47/0.64 (step t2.t3 (cl (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule resolution :premises (t2.t2 t2.a0))
% 0.47/0.64 (step t2 (cl (not (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172)))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule subproof :discharge (t2.a0))
% 0.47/0.64 (step t3 (cl (=> (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule resolution :premises (t1 t2))
% 0.47/0.64 (step t4 (cl (=> (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (not (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule implies_neg2)
% 0.47/0.64 (step t5 (cl (=> (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (=> (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule resolution :premises (t3 t4))
% 0.47/0.64 (step t6 (cl (=> (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule contraction :premises (t5))
% 0.47/0.64 (step t7 (cl (not (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172)))) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule implies :premises (t6))
% 0.47/0.64 (step t8 (cl (not (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)) :rule or_pos)
% 0.47/0.64 (step t9 (cl (tptp.pred_attacker tptp.name_objective) (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (not (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule reordering :premises (t8))
% 0.47/0.64 (step t10 (cl (not (= (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))) (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)) (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))))) (not (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))) (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))))) (or (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)) (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))))) :rule equiv_pos2)
% 0.47/0.64 (step t11 (cl (= (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))) (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)))) (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))) (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)))))) :rule all_simplify)
% 0.47/0.64 (step t12 (cl (= (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))) (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)) (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))))) :rule all_simplify)
% 0.47/0.64 (step t13 (cl (= (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))) (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)) (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))))) :rule trans :premises (t11 t12))
% 0.47/0.64 (step t14 (cl (or (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)) (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))))) :rule resolution :premises (t10 t13 a171))
% 0.47/0.64 (step t15 (cl (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective)) (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))) :rule or :premises (t14))
% 0.47/0.64 (step t16 (cl (=> (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t17)
% 0.47/0.64 (assume t17.a0 (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))))
% 0.47/0.64 (step t17.t1 (cl (or (not (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))))) :rule forall_inst :args ((:= VAR_0X40SID_598 tptp.constr_CONST_0x30) (:= VAR_ENC_KAB_A0X27_60X300X30 tptp.constr_CONST_1) (:= VAR_ENC_NA_B_ENC_KAB_A_597 tptp.constr_CONST_1) (:= VAR_ENC_NB_596 tptp.constr_CONST_1) (:= VAR_ENC_SUCC_NA0X27_599 tptp.constr_CONST_1)))
% 0.47/0.64 (step t17.t2 (cl (not (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule or :premises (t17.t1))
% 0.47/0.64 (step t17.t3 (cl (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t17.t2 t17.a0))
% 0.47/0.64 (step t17 (cl (not (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule subproof :discharge (t17.a0))
% 0.47/0.64 (step t18 (cl (=> (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t16 t17))
% 0.47/0.64 (step t19 (cl (=> (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))))) :rule implies_neg2)
% 0.47/0.64 (step t20 (cl (=> (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) (=> (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))))) :rule resolution :premises (t18 t19))
% 0.47/0.64 (step t21 (cl (=> (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))))) :rule contraction :premises (t20))
% 0.47/0.64 (step t22 (cl (not (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule implies :premises (t21))
% 0.47/0.64 (step t23 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) :rule or_pos)
% 0.47/0.64 (step t24 (cl (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))))) :rule reordering :premises (t23))
% 0.47/0.64 (step t25 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) :rule or_pos)
% 0.47/0.64 (step t26 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))))) :rule reordering :premises (t25))
% 0.47/0.64 (step t27 (cl (=> (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223))))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t28)
% 0.47/0.64 (assume t28.a0 (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))))
% 0.47/0.64 (step t28.t1 (cl (or (not (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_223 tptp.constr_CONST_1)))
% 0.47/0.64 (step t28.t2 (cl (not (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) :rule or :premises (t28.t1))
% 0.47/0.64 (step t28.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) :rule resolution :premises (t28.t2 t28.a0))
% 0.47/0.64 (step t28 (cl (not (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) :rule subproof :discharge (t28.a0))
% 0.47/0.64 (step t29 (cl (=> (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) :rule resolution :premises (t27 t28))
% 0.47/0.64 (step t30 (cl (=> (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.47/0.64 (step t31 (cl (=> (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))))) :rule resolution :premises (t29 t30))
% 0.47/0.64 (step t32 (cl (=> (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))))) :rule contraction :premises (t31))
% 0.47/0.64 (step t33 (cl (not (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) :rule implies :premises (t32))
% 0.47/0.64 (step t34 (cl (not (= (forall ((VAR_V_223 $$unsorted)) (=> (tptp.pred_attacker VAR_V_223) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))) (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))))) (not (forall ((VAR_V_223 $$unsorted)) (=> (tptp.pred_attacker VAR_V_223) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223))))) (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223))))) :rule equiv_pos2)
% 0.47/0.64 (step t35 (cl (= (forall ((VAR_V_223 $$unsorted)) (=> (tptp.pred_attacker VAR_V_223) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))) (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223)))))) :rule all_simplify)
% 0.47/0.64 (step t36 (cl (forall ((VAR_V_223 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_223)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_V_223))))) :rule resolution :premises (t34 t35 a120))
% 0.47/0.64 (step t37 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1)))) :rule resolution :premises (t33 t36))
% 0.47/0.64 (step t38 (cl (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) :rule resolution :premises (t26 a145 t37))
% 0.47/0.64 (step t39 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) :rule or_pos)
% 0.47/0.64 (step t40 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))))) :rule reordering :premises (t39))
% 0.47/0.64 (step t41 (cl (=> (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229))))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t42)
% 0.47/0.64 (assume t42.a0 (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))))
% 0.47/0.64 (step t42.t1 (cl (or (not (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_229 tptp.constr_CONST_1)))
% 0.47/0.64 (step t42.t2 (cl (not (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) :rule or :premises (t42.t1))
% 0.47/0.64 (step t42.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) :rule resolution :premises (t42.t2 t42.a0))
% 0.47/0.64 (step t42 (cl (not (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) :rule subproof :discharge (t42.a0))
% 0.47/0.64 (step t43 (cl (=> (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) :rule resolution :premises (t41 t42))
% 0.47/0.64 (step t44 (cl (=> (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.47/0.64 (step t45 (cl (=> (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))))) :rule resolution :premises (t43 t44))
% 0.47/0.64 (step t46 (cl (=> (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))))) :rule contraction :premises (t45))
% 0.47/0.64 (step t47 (cl (not (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) :rule implies :premises (t46))
% 0.47/0.64 (step t48 (cl (not (= (forall ((VAR_V_229 $$unsorted)) (=> (tptp.pred_attacker VAR_V_229) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))) (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))))) (not (forall ((VAR_V_229 $$unsorted)) (=> (tptp.pred_attacker VAR_V_229) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229))))) (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229))))) :rule equiv_pos2)
% 0.47/0.64 (step t49 (cl (= (forall ((VAR_V_229 $$unsorted)) (=> (tptp.pred_attacker VAR_V_229) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))) (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229)))))) :rule all_simplify)
% 0.47/0.64 (step t50 (cl (forall ((VAR_V_229 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_V_229))))) :rule resolution :premises (t48 t49 a122))
% 0.47/0.64 (step t51 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1)))) :rule resolution :premises (t47 t50))
% 0.47/0.64 (step t52 (cl (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) :rule resolution :premises (t40 a145 t51))
% 0.47/0.64 (step t53 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) :rule or_pos)
% 0.47/0.64 (step t54 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))))) :rule reordering :premises (t53))
% 0.47/0.64 (step t55 (cl (=> (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235))))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t56)
% 0.47/0.64 (assume t56.a0 (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))))
% 0.47/0.64 (step t56.t1 (cl (or (not (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_235 tptp.constr_CONST_1)))
% 0.47/0.64 (step t56.t2 (cl (not (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) :rule or :premises (t56.t1))
% 0.47/0.64 (step t56.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) :rule resolution :premises (t56.t2 t56.a0))
% 0.47/0.64 (step t56 (cl (not (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) :rule subproof :discharge (t56.a0))
% 0.47/0.64 (step t57 (cl (=> (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) :rule resolution :premises (t55 t56))
% 0.47/0.64 (step t58 (cl (=> (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.47/0.64 (step t59 (cl (=> (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))))) :rule resolution :premises (t57 t58))
% 0.47/0.64 (step t60 (cl (=> (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))))) :rule contraction :premises (t59))
% 0.47/0.64 (step t61 (cl (not (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) :rule implies :premises (t60))
% 0.47/0.64 (step t62 (cl (not (= (forall ((VAR_V_235 $$unsorted)) (=> (tptp.pred_attacker VAR_V_235) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))) (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))))) (not (forall ((VAR_V_235 $$unsorted)) (=> (tptp.pred_attacker VAR_V_235) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235))))) (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235))))) :rule equiv_pos2)
% 0.47/0.64 (step t63 (cl (= (forall ((VAR_V_235 $$unsorted)) (=> (tptp.pred_attacker VAR_V_235) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))) (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235)))))) :rule all_simplify)
% 0.47/0.64 (step t64 (cl (forall ((VAR_V_235 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_235)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_235))))) :rule resolution :premises (t62 t63 a124))
% 0.47/0.64 (step t65 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1)))) :rule resolution :premises (t61 t64))
% 0.47/0.64 (step t66 (cl (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) :rule resolution :premises (t54 a145 t65))
% 0.47/0.64 (step t67 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))) :rule or_pos)
% 0.47/0.64 (step t68 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule reordering :premises (t67))
% 0.47/0.64 (step t69 (cl (=> (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241))))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t70)
% 0.47/0.64 (assume t70.a0 (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))))
% 0.47/0.64 (step t70.t1 (cl (or (not (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_241 tptp.constr_CONST_1)))
% 0.47/0.64 (step t70.t2 (cl (not (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) :rule or :premises (t70.t1))
% 0.47/0.64 (step t70.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t70.t2 t70.a0))
% 0.47/0.64 (step t70 (cl (not (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) :rule subproof :discharge (t70.a0))
% 0.47/0.64 (step t71 (cl (=> (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t69 t70))
% 0.47/0.64 (step t72 (cl (=> (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.47/0.64 (step t73 (cl (=> (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t71 t72))
% 0.47/0.64 (step t74 (cl (=> (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))))) :rule contraction :premises (t73))
% 0.47/0.64 (step t75 (cl (not (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) :rule implies :premises (t74))
% 0.47/0.64 (step t76 (cl (not (= (forall ((VAR_V_241 $$unsorted)) (=> (tptp.pred_attacker VAR_V_241) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))) (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))))) (not (forall ((VAR_V_241 $$unsorted)) (=> (tptp.pred_attacker VAR_V_241) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241))))) (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241))))) :rule equiv_pos2)
% 0.47/0.64 (step t77 (cl (= (forall ((VAR_V_241 $$unsorted)) (=> (tptp.pred_attacker VAR_V_241) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))) (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241)))))) :rule all_simplify)
% 0.47/0.64 (step t78 (cl (forall ((VAR_V_241 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_241))))) :rule resolution :premises (t76 t77 a126))
% 0.47/0.64 (step t79 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t75 t78))
% 0.47/0.64 (step t80 (cl (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1))) :rule resolution :premises (t68 a145 t79))
% 0.47/0.64 (step t81 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t82)
% 0.47/0.64 (assume t82.a0 (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)))
% 0.47/0.64 (step t82.t1 (cl (or (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas))))) :rule forall_inst :args ((:= VAR_X_81 tptp.name_B) (:= VAR_Y_82 (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))))
% 0.47/0.64 (step t82.t2 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule or :premises (t82.t1))
% 0.47/0.64 (step t82.t3 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t82.t2 t82.a0))
% 0.47/0.64 (step t82 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule subproof :discharge (t82.a0))
% 0.47/0.64 (step t83 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t81 t82))
% 0.47/0.64 (step t84 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas))))) :rule implies_neg2)
% 0.47/0.64 (step t85 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas))))) :rule resolution :premises (t83 t84))
% 0.47/0.64 (step t86 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas))))) :rule contraction :premises (t85))
% 0.47/0.64 (step t87 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule implies :premises (t86))
% 0.47/0.64 (step t88 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t87 a83))
% 0.47/0.64 (step t89 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t90)
% 0.47/0.64 (assume t90.a0 (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)))
% 0.47/0.64 (step t90.t1 (cl (or (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas))))) :rule forall_inst :args ((:= VAR_X_81 (tptp.name_Na tptp.constr_CONST_0x30)) (:= VAR_Y_82 (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))))
% 0.47/0.64 (step t90.t2 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule or :premises (t90.t1))
% 0.47/0.64 (step t90.t3 (cl (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t90.t2 t90.a0))
% 0.47/0.64 (step t90 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule subproof :discharge (t90.a0))
% 0.47/0.64 (step t91 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t89 t90))
% 0.47/0.64 (step t92 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas))))) :rule implies_neg2)
% 0.47/0.64 (step t93 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas))))) :rule resolution :premises (t91 t92))
% 0.47/0.64 (step t94 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas))))) :rule contraction :premises (t93))
% 0.47/0.64 (step t95 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule implies :premises (t94))
% 0.47/0.64 (step t96 (cl (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t95 a83))
% 0.47/0.64 (step t97 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t98)
% 0.47/0.64 (assume t98.a0 (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)))
% 0.47/0.64 (step t98.t1 (cl (or (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule forall_inst :args ((:= VAR_X_81 tptp.name_A) (:= VAR_Y_82 (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))))
% 0.47/0.64 (step t98.t2 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) :rule or :premises (t98.t1))
% 0.47/0.64 (step t98.t3 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t98.t2 t98.a0))
% 0.47/0.64 (step t98 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) :rule subproof :discharge (t98.a0))
% 0.47/0.64 (step t99 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t97 t98))
% 0.47/0.64 (step t100 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule implies_neg2)
% 0.47/0.64 (step t101 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule resolution :premises (t99 t100))
% 0.47/0.64 (step t102 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule contraction :premises (t101))
% 0.47/0.64 (step t103 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) :rule implies :premises (t102))
% 0.47/0.64 (step t104 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) :rule resolution :premises (t103 a83))
% 0.47/0.64 (step t105 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) :rule implies_neg1)
% 0.47/0.64 (anchor :step t106)
% 0.47/0.64 (assume t106.a0 (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)))
% 0.47/0.64 (step t106.t1 (cl (or (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))))) :rule forall_inst :args ((:= VAR_X_81 (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30))) (:= VAR_Y_82 (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))))
% 0.47/0.64 (step t106.t2 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule or :premises (t106.t1))
% 0.47/0.64 (step t106.t3 (cl (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule resolution :premises (t106.t2 t106.a0))
% 0.47/0.64 (step t106 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule subproof :discharge (t106.a0))
% 0.47/0.64 (step t107 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule resolution :premises (t105 t106))
% 0.47/0.64 (step t108 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))))) :rule implies_neg2)
% 0.47/0.64 (step t109 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))))) :rule resolution :premises (t107 t108))
% 0.47/0.64 (step t110 (cl (=> (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82)) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))))) :rule contraction :premises (t109))
% 0.47/0.64 (step t111 (cl (not (forall ((VAR_X_81 $$unsorted) (VAR_Y_82 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_81 VAR_Y_82))) (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule implies :premises (t110))
% 0.47/0.64 (step t112 (cl (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) :rule resolution :premises (t111 a83))
% 0.47/0.64 (step t113 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 tptp.constr_CONST_1 tptp.constr_CONST_1 tptp.constr_CONST_0x30)) (tptp.constr_cbc_dec_1 tptp.constr_CONST_1 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 tptp.constr_CONST_1))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na tptp.constr_CONST_0x30) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 tptp.constr_CONST_1 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 tptp.constr_CONST_1)))))) :rule resolution :premises (t24 t38 t52 t66 t80 t88 t96 t104 t112))
% 0.47/0.64 (step t114 (cl (not (forall ((VAR_0X40SID_598 $$unsorted) (VAR_ENC_KAB_A0X27_60X300X30 $$unsorted) (VAR_ENC_NA_B_ENC_KAB_A_597 $$unsorted) (VAR_ENC_NB_596 $$unsorted) (VAR_ENC_SUCC_NA0X27_599 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.tuple_succ (tptp.name_Na0x27 VAR_ENC_NB_596 VAR_ENC_NA_B_ENC_KAB_A_597 VAR_0X40SID_598)) (tptp.constr_cbc_dec_1 VAR_ENC_SUCC_NA0X27_599 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas))))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_8 VAR_ENC_SUCC_NA0X27_599))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_cbc_dec_2 VAR_ENC_KAB_A0X27_60X300X30 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_6 VAR_ENC_KAB_A0X27_60X300X30))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ENC_NB_596))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_B (tptp.constr_tuple_4_get_1 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_598) (tptp.constr_tuple_4_get_0x30 (tptp.constr_cbc_dec_4 VAR_ENC_NA_B_ENC_KAB_A_597 tptp.name_Kas)))) (not (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_ENC_NA_B_ENC_KAB_A_597))))))) :rule resolution :premises (t22 t113))
% 0.47/0.64 (step t115 (cl (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) :rule resolution :premises (t15 t114))
% 0.47/0.64 (step t116 (cl (not (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule resolution :premises (t9 a174 t115))
% 0.47/0.64 (step t117 (cl (not (= (forall ((VAR_V_172 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172)) (tptp.pred_attacker VAR_V_172))) (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))))) (not (forall ((VAR_V_172 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172)) (tptp.pred_attacker VAR_V_172)))) (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172)))) :rule equiv_pos2)
% 0.47/0.64 (step t118 (cl (= (forall ((VAR_V_172 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172)) (tptp.pred_attacker VAR_V_172))) (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172))))) :rule all_simplify)
% 0.47/0.64 (step t119 (cl (forall ((VAR_V_172 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_A_out_9 VAR_V_172))) (tptp.pred_attacker VAR_V_172)))) :rule resolution :premises (t117 t118 a109))
% 0.47/0.64 (step t120 (cl) :rule resolution :premises (t7 t116 t119))
% 0.47/0.64
% 0.47/0.64 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.Iu7rL3BWst/cvc5---1.0.5_25845.smt2
% 0.47/0.64 % cvc5---1.0.5 exiting
% 0.47/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------