%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW959+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n011.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 18:20:50 EDT 2024

% Result   : Theorem 0.36s 0.62s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWW959+1 : TPTP v8.2.0. Released v7.4.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 26 06:01:39 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.62  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.36/0.62  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.Qcc18xjfHH/cvc5---1.0.5_21217.smt2
% 0.36/0.62  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.Qcc18xjfHH/cvc5---1.0.5_21217.smt2
% 0.36/0.62  (assume a0 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_1)))
% 0.36/0.62  (assume a1 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_2)))
% 0.36/0.62  (assume a2 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_3)))
% 0.36/0.62  (assume a3 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_4)))
% 0.36/0.62  (assume a4 (not (= tptp.constr_CONST_0x30 tptp.name_A)))
% 0.36/0.62  (assume a5 (not (= tptp.constr_CONST_0x30 tptp.name_B)))
% 0.36/0.62  (assume a6 (not (= tptp.constr_CONST_0x30 tptp.name_I)))
% 0.36/0.62  (assume a7 (not (= tptp.constr_CONST_0x30 tptp.name_c)))
% 0.36/0.62  (assume a8 (not (= tptp.constr_CONST_0x30 tptp.name_objective)))
% 0.36/0.62  (assume a9 (not (= tptp.constr_CONST_0x30 tptp.name_skA)))
% 0.36/0.62  (assume a10 (not (= tptp.constr_CONST_0x30 tptp.name_skB)))
% 0.36/0.62  (assume a11 (not (= tptp.constr_CONST_0x30 tptp.name_skS)))
% 0.36/0.62  (assume a12 (not (= tptp.constr_CONST_1 tptp.constr_CONST_2)))
% 0.36/0.62  (assume a13 (not (= tptp.constr_CONST_1 tptp.constr_CONST_3)))
% 0.36/0.62  (assume a14 (not (= tptp.constr_CONST_1 tptp.constr_CONST_4)))
% 0.36/0.62  (assume a15 (not (= tptp.constr_CONST_1 tptp.name_A)))
% 0.36/0.62  (assume a16 (not (= tptp.constr_CONST_1 tptp.name_B)))
% 0.36/0.62  (assume a17 (not (= tptp.constr_CONST_1 tptp.name_I)))
% 0.36/0.62  (assume a18 (not (= tptp.constr_CONST_1 tptp.name_c)))
% 0.36/0.62  (assume a19 (not (= tptp.constr_CONST_1 tptp.name_objective)))
% 0.36/0.62  (assume a20 (not (= tptp.constr_CONST_1 tptp.name_skA)))
% 0.36/0.62  (assume a21 (not (= tptp.constr_CONST_1 tptp.name_skB)))
% 0.36/0.62  (assume a22 (not (= tptp.constr_CONST_1 tptp.name_skS)))
% 0.36/0.62  (assume a23 (not (= tptp.constr_CONST_2 tptp.constr_CONST_3)))
% 0.36/0.62  (assume a24 (not (= tptp.constr_CONST_2 tptp.constr_CONST_4)))
% 0.36/0.62  (assume a25 (not (= tptp.constr_CONST_2 tptp.name_A)))
% 0.36/0.62  (assume a26 (not (= tptp.constr_CONST_2 tptp.name_B)))
% 0.36/0.62  (assume a27 (not (= tptp.constr_CONST_2 tptp.name_I)))
% 0.36/0.62  (assume a28 (not (= tptp.constr_CONST_2 tptp.name_c)))
% 0.36/0.62  (assume a29 (not (= tptp.constr_CONST_2 tptp.name_objective)))
% 0.36/0.62  (assume a30 (not (= tptp.constr_CONST_2 tptp.name_skA)))
% 0.36/0.62  (assume a31 (not (= tptp.constr_CONST_2 tptp.name_skB)))
% 0.36/0.62  (assume a32 (not (= tptp.constr_CONST_2 tptp.name_skS)))
% 0.36/0.62  (assume a33 (not (= tptp.constr_CONST_3 tptp.constr_CONST_4)))
% 0.36/0.62  (assume a34 (not (= tptp.constr_CONST_3 tptp.name_A)))
% 0.36/0.62  (assume a35 (not (= tptp.constr_CONST_3 tptp.name_B)))
% 0.36/0.62  (assume a36 (not (= tptp.constr_CONST_3 tptp.name_I)))
% 0.36/0.62  (assume a37 (not (= tptp.constr_CONST_3 tptp.name_c)))
% 0.36/0.62  (assume a38 (not (= tptp.constr_CONST_3 tptp.name_objective)))
% 0.36/0.62  (assume a39 (not (= tptp.constr_CONST_3 tptp.name_skA)))
% 0.36/0.62  (assume a40 (not (= tptp.constr_CONST_3 tptp.name_skB)))
% 0.36/0.62  (assume a41 (not (= tptp.constr_CONST_3 tptp.name_skS)))
% 0.36/0.62  (assume a42 (not (= tptp.constr_CONST_4 tptp.name_A)))
% 0.36/0.62  (assume a43 (not (= tptp.constr_CONST_4 tptp.name_B)))
% 0.36/0.62  (assume a44 (not (= tptp.constr_CONST_4 tptp.name_I)))
% 0.36/0.62  (assume a45 (not (= tptp.constr_CONST_4 tptp.name_c)))
% 0.36/0.62  (assume a46 (not (= tptp.constr_CONST_4 tptp.name_objective)))
% 0.36/0.62  (assume a47 (not (= tptp.constr_CONST_4 tptp.name_skA)))
% 0.36/0.62  (assume a48 (not (= tptp.constr_CONST_4 tptp.name_skB)))
% 0.36/0.62  (assume a49 (not (= tptp.constr_CONST_4 tptp.name_skS)))
% 0.36/0.62  (assume a50 (not (= tptp.name_A tptp.name_B)))
% 0.36/0.62  (assume a51 (not (= tptp.name_A tptp.name_I)))
% 0.36/0.62  (assume a52 (not (= tptp.name_A tptp.name_c)))
% 0.36/0.62  (assume a53 (not (= tptp.name_A tptp.name_objective)))
% 0.36/0.62  (assume a54 (not (= tptp.name_A tptp.name_skA)))
% 0.36/0.62  (assume a55 (not (= tptp.name_A tptp.name_skB)))
% 0.36/0.62  (assume a56 (not (= tptp.name_A tptp.name_skS)))
% 0.36/0.62  (assume a57 (not (= tptp.name_B tptp.name_I)))
% 0.36/0.62  (assume a58 (not (= tptp.name_B tptp.name_c)))
% 0.36/0.62  (assume a59 (not (= tptp.name_B tptp.name_objective)))
% 0.36/0.62  (assume a60 (not (= tptp.name_B tptp.name_skA)))
% 0.36/0.62  (assume a61 (not (= tptp.name_B tptp.name_skB)))
% 0.36/0.62  (assume a62 (not (= tptp.name_B tptp.name_skS)))
% 0.36/0.62  (assume a63 (not (= tptp.name_I tptp.name_c)))
% 0.36/0.62  (assume a64 (not (= tptp.name_I tptp.name_objective)))
% 0.36/0.62  (assume a65 (not (= tptp.name_I tptp.name_skA)))
% 0.36/0.62  (assume a66 (not (= tptp.name_I tptp.name_skB)))
% 0.36/0.62  (assume a67 (not (= tptp.name_I tptp.name_skS)))
% 0.36/0.62  (assume a68 (not (= tptp.name_c tptp.name_objective)))
% 0.36/0.62  (assume a69 (not (= tptp.name_c tptp.name_skA)))
% 0.36/0.62  (assume a70 (not (= tptp.name_c tptp.name_skB)))
% 0.36/0.62  (assume a71 (not (= tptp.name_c tptp.name_skS)))
% 0.36/0.62  (assume a72 (not (= tptp.name_objective tptp.name_skA)))
% 0.36/0.62  (assume a73 (not (= tptp.name_objective tptp.name_skB)))
% 0.36/0.62  (assume a74 (not (= tptp.name_objective tptp.name_skS)))
% 0.36/0.62  (assume a75 (not (= tptp.name_skA tptp.name_skB)))
% 0.36/0.62  (assume a76 (not (= tptp.name_skA tptp.name_skS)))
% 0.36/0.62  (assume a77 (not (= tptp.name_skB tptp.name_skS)))
% 0.36/0.62  (assume a78 (forall ((VAR_K_18 $$unsorted) (VAR_M_17 $$unsorted)) (= (tptp.constr_adec (tptp.constr_aenc VAR_M_17 (tptp.constr_pkey VAR_K_18)) VAR_K_18) VAR_M_17)))
% 0.36/0.62  (assume a79 (forall ((VAR_K_16 $$unsorted) (VAR_M_15 $$unsorted)) (= (tptp.constr_dec (tptp.constr_enc VAR_M_15 VAR_K_16) VAR_K_16) VAR_M_15)))
% 0.36/0.62  (assume a80 (forall ((VAR_K_14 $$unsorted) (VAR_M_13 $$unsorted)) (= (tptp.constr_getmess (tptp.constr_sign VAR_M_13 VAR_K_14)) VAR_M_13)))
% 0.36/0.62  (assume a81 (forall ((VAR_K_0X30 $$unsorted) (VAR_M_0X30 $$unsorted)) (= (tptp.constr_checksign (tptp.constr_sign VAR_M_0X30 VAR_K_0X30) (tptp.constr_pkey VAR_K_0X30)) VAR_M_0X30)))
% 0.36/0.62  (assume a82 (forall ((VAR_X0X30_11 $$unsorted) (VAR_X1_12 $$unsorted)) (= (tptp.constr_tuple_2_get_1_bitstring (tptp.tuple_2 VAR_X0X30_11 VAR_X1_12)) VAR_X1_12)))
% 0.36/0.62  (assume a83 (forall ((VAR_X0X30_9 $$unsorted) (VAR_X1_10X30 $$unsorted)) (= (tptp.constr_tuple_2_get_0x30_bitstring (tptp.tuple_2 VAR_X0X30_9 VAR_X1_10X30)) VAR_X0X30_9)))
% 0.36/0.62  (assume a84 (forall ((VAR_X0X30_7 $$unsorted) (VAR_X1_8 $$unsorted)) (= (tptp.constr_tuple_2_get_1 (tptp.tuple_2 VAR_X0X30_7 VAR_X1_8)) VAR_X1_8)))
% 0.36/0.62  (assume a85 (forall ((VAR_X0X30_0X30 $$unsorted) (VAR_X1_0X30 $$unsorted)) (= (tptp.constr_tuple_2_get_0x30 (tptp.tuple_2 VAR_X0X30_0X30 VAR_X1_0X30)) VAR_X0X30_0X30)))
% 0.36/0.62  (assume a86 (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)))
% 0.36/0.62  (assume a87 (forall ((VAR_V_42 $$unsorted)) (=> (tptp.pred_attacker VAR_V_42) (tptp.pred_attacker (tptp.constr_tuple_2_get_1_bitstring VAR_V_42)))))
% 0.36/0.62  (assume a88 (forall ((VAR_V_44 $$unsorted)) (=> (tptp.pred_attacker VAR_V_44) (tptp.pred_attacker (tptp.constr_tuple_2_get_1 VAR_V_44)))))
% 0.36/0.62  (assume a89 (forall ((VAR_V_46 $$unsorted)) (=> (tptp.pred_attacker VAR_V_46) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30_bitstring VAR_V_46)))))
% 0.36/0.62  (assume a90 (forall ((VAR_V_48 $$unsorted)) (=> (tptp.pred_attacker VAR_V_48) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30 VAR_V_48)))))
% 0.36/0.62  (assume a91 (tptp.pred_attacker tptp.tuple_true))
% 0.36/0.62  (assume a92 (forall ((VAR_V_51 $$unsorted) (VAR_V_52 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_51) (tptp.pred_attacker VAR_V_52)) (tptp.pred_attacker (tptp.constr_sign VAR_V_51 VAR_V_52)))))
% 0.36/0.62  (assume a93 (forall ((VAR_V_54 $$unsorted)) (=> (tptp.pred_attacker VAR_V_54) (tptp.pred_attacker (tptp.constr_pkey VAR_V_54)))))
% 0.36/0.62  (assume a94 (forall ((VAR_V_56 $$unsorted)) (=> (tptp.pred_attacker VAR_V_56) (tptp.pred_attacker (tptp.tuple_out_3 VAR_V_56)))))
% 0.36/0.62  (assume a95 (forall ((VAR_V_59 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_3 VAR_V_59)) (tptp.pred_attacker VAR_V_59))))
% 0.36/0.62  (assume a96 (forall ((VAR_V_62 $$unsorted)) (=> (tptp.pred_attacker VAR_V_62) (tptp.pred_attacker (tptp.tuple_out_2 VAR_V_62)))))
% 0.36/0.62  (assume a97 (forall ((VAR_V_65 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_2 VAR_V_65)) (tptp.pred_attacker VAR_V_65))))
% 0.36/0.62  (assume a98 (forall ((VAR_V_68 $$unsorted)) (=> (tptp.pred_attacker VAR_V_68) (tptp.pred_attacker (tptp.tuple_out_1 VAR_V_68)))))
% 0.36/0.62  (assume a99 (forall ((VAR_V_71 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_1 VAR_V_71)) (tptp.pred_attacker VAR_V_71))))
% 0.36/0.62  (assume a100 (forall ((VAR_V_75 $$unsorted)) (=> (tptp.pred_attacker VAR_V_75) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 VAR_V_75)))))
% 0.36/0.62  (assume a101 (forall ((VAR_V_78 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 VAR_V_78)) (tptp.pred_attacker VAR_V_78))))
% 0.36/0.62  (assume a102 (forall ((VAR_V_82 $$unsorted) (VAR_V_83 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_82) (tptp.pred_attacker VAR_V_83)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_82 VAR_V_83)))))
% 0.36/0.62  (assume a103 (forall ((VAR_V_90X30 $$unsorted) (VAR_V_91 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_90X30 VAR_V_91)) (tptp.pred_attacker VAR_V_90X30))))
% 0.36/0.62  (assume a104 (forall ((VAR_V_93 $$unsorted) (VAR_V_94 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_93 VAR_V_94)) (tptp.pred_attacker VAR_V_94))))
% 0.36/0.62  (assume a105 (forall ((VAR_V_98 $$unsorted) (VAR_V_99 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_98) (tptp.pred_attacker VAR_V_99)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_98 VAR_V_99)))))
% 0.36/0.62  (assume a106 (forall ((VAR_V_10X306 $$unsorted) (VAR_V_10X307 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_10X306 VAR_V_10X307)) (tptp.pred_attacker VAR_V_10X306))))
% 0.36/0.62  (assume a107 (forall ((VAR_V_10X309 $$unsorted) (VAR_V_110X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_10X309 VAR_V_110X30)) (tptp.pred_attacker VAR_V_110X30))))
% 0.36/0.62  (assume a108 (forall ((VAR_V_113 $$unsorted)) (=> (tptp.pred_attacker VAR_V_113) (tptp.pred_attacker (tptp.constr_getmess VAR_V_113)))))
% 0.36/0.62  (assume a109 (tptp.pred_attacker tptp.tuple_false))
% 0.36/0.62  (assume a110 (forall ((VAR_V_116 $$unsorted) (VAR_V_117 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_116) (tptp.pred_attacker VAR_V_117)) (tptp.pred_attacker (tptp.constr_enc VAR_V_116 VAR_V_117)))))
% 0.36/0.62  (assume a111 (forall ((VAR_V_120X30 $$unsorted) (VAR_V_121 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_120X30) (tptp.pred_attacker VAR_V_121)) (tptp.pred_attacker (tptp.constr_dec VAR_V_120X30 VAR_V_121)))))
% 0.36/0.62  (assume a112 (forall ((VAR_V_123 $$unsorted)) (=> (tptp.pred_attacker VAR_V_123) (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_123)))))
% 0.36/0.62  (assume a113 (forall ((VAR_V_126 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126)) (tptp.pred_attacker VAR_V_126))))
% 0.36/0.62  (assume a114 (forall ((VAR_V_129 $$unsorted)) (=> (tptp.pred_attacker VAR_V_129) (tptp.pred_attacker (tptp.tuple_client_B_out_4 VAR_V_129)))))
% 0.36/0.62  (assume a115 (forall ((VAR_V_132 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_4 VAR_V_132)) (tptp.pred_attacker VAR_V_132))))
% 0.36/0.62  (assume a116 (forall ((VAR_V_136 $$unsorted) (VAR_V_137 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_136) (tptp.pred_attacker VAR_V_137)) (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_136 VAR_V_137)))))
% 0.36/0.62  (assume a117 (forall ((VAR_V_144 $$unsorted) (VAR_V_145 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_144 VAR_V_145)) (tptp.pred_attacker VAR_V_144))))
% 0.36/0.62  (assume a118 (forall ((VAR_V_147 $$unsorted) (VAR_V_148 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_147 VAR_V_148)) (tptp.pred_attacker VAR_V_148))))
% 0.36/0.62  (assume a119 (forall ((VAR_V_151 $$unsorted)) (=> (tptp.pred_attacker VAR_V_151) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))))
% 0.36/0.62  (assume a120 (forall ((VAR_V_154 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_154)) (tptp.pred_attacker VAR_V_154))))
% 0.36/0.62  (assume a121 (forall ((VAR_V_157 $$unsorted)) (=> (tptp.pred_attacker VAR_V_157) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))))
% 0.36/0.62  (assume a122 (forall ((VAR_V_160X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_160X30)) (tptp.pred_attacker VAR_V_160X30))))
% 0.36/0.62  (assume a123 (forall ((VAR_V_163 $$unsorted)) (=> (tptp.pred_attacker VAR_V_163) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))))
% 0.36/0.62  (assume a124 (forall ((VAR_V_166 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_166)) (tptp.pred_attacker VAR_V_166))))
% 0.36/0.62  (assume a125 (forall ((VAR_V_169 $$unsorted)) (=> (tptp.pred_attacker VAR_V_169) (tptp.pred_attacker (tptp.tuple_client_A_out_5 VAR_V_169)))))
% 0.36/0.62  (assume a126 (forall ((VAR_V_172 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_5 VAR_V_172)) (tptp.pred_attacker VAR_V_172))))
% 0.36/0.62  (assume a127 (forall ((VAR_V_175 $$unsorted)) (=> (tptp.pred_attacker VAR_V_175) (tptp.pred_attacker (tptp.tuple_client_A_out_3 VAR_V_175)))))
% 0.36/0.62  (assume a128 (forall ((VAR_V_178 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_3 VAR_V_178)) (tptp.pred_attacker VAR_V_178))))
% 0.36/0.62  (assume a129 (forall ((VAR_V_182 $$unsorted) (VAR_V_183 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_182) (tptp.pred_attacker VAR_V_183)) (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_182 VAR_V_183)))))
% 0.36/0.62  (assume a130 (forall ((VAR_V_190X30 $$unsorted) (VAR_V_191 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_190X30 VAR_V_191)) (tptp.pred_attacker VAR_V_190X30))))
% 0.36/0.62  (assume a131 (forall ((VAR_V_193 $$unsorted) (VAR_V_194 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_193 VAR_V_194)) (tptp.pred_attacker VAR_V_194))))
% 0.36/0.62  (assume a132 (forall ((VAR_V_197 $$unsorted)) (=> (tptp.pred_attacker VAR_V_197) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_197)))))
% 0.36/0.62  (assume a133 (forall ((VAR_V_20X300X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_20X300X30)) (tptp.pred_attacker VAR_V_20X300X30))))
% 0.36/0.62  (assume a134 (forall ((VAR_V_20X303 $$unsorted)) (=> (tptp.pred_attacker VAR_V_20X303) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_20X303)))))
% 0.36/0.62  (assume a135 (forall ((VAR_V_20X306 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_20X306)) (tptp.pred_attacker VAR_V_20X306))))
% 0.36/0.62  (assume a136 (forall ((VAR_V_210X30 $$unsorted) (VAR_V_211 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_210X30) (tptp.pred_attacker VAR_V_211)) (tptp.pred_attacker (tptp.constr_checksign VAR_V_210X30 VAR_V_211)))))
% 0.36/0.62  (assume a137 (forall ((VAR_V_214 $$unsorted) (VAR_V_215 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_214) (tptp.pred_attacker VAR_V_215)) (tptp.pred_attacker (tptp.constr_aenc VAR_V_214 VAR_V_215)))))
% 0.36/0.62  (assume a138 (forall ((VAR_V_218 $$unsorted) (VAR_V_219 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_218) (tptp.pred_attacker VAR_V_219)) (tptp.pred_attacker (tptp.constr_adec VAR_V_218 VAR_V_219)))))
% 0.36/0.62  (assume a139 (tptp.pred_attacker tptp.constr_CONST_4))
% 0.36/0.62  (assume a140 (tptp.pred_attacker tptp.constr_CONST_3))
% 0.36/0.62  (assume a141 (tptp.pred_attacker tptp.constr_CONST_2))
% 0.36/0.62  (assume a142 (tptp.pred_attacker tptp.constr_CONST_1))
% 0.36/0.62  (assume a143 (tptp.pred_attacker tptp.constr_CONST_0x30))
% 0.36/0.62  (assume a144 (forall ((VAR_V_226 $$unsorted) (VAR_V_227 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_226) (tptp.pred_attacker VAR_V_227)) (tptp.pred_attacker (tptp.tuple_2 VAR_V_226 VAR_V_227)))))
% 0.36/0.62  (assume a145 (forall ((VAR_V_234 $$unsorted) (VAR_V_235 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_2 VAR_V_234 VAR_V_235)) (tptp.pred_attacker VAR_V_234))))
% 0.36/0.62  (assume a146 (forall ((VAR_V_237 $$unsorted) (VAR_V_238 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_2 VAR_V_237 VAR_V_238)) (tptp.pred_attacker VAR_V_238))))
% 0.36/0.62  (assume a147 (forall ((VAR_V_240X30 $$unsorted) (VAR_V_241 $$unsorted)) (=> (and (tptp.pred_mess VAR_V_241 VAR_V_240X30) (tptp.pred_attacker VAR_V_241)) (tptp.pred_attacker VAR_V_240X30))))
% 0.36/0.62  (assume a148 (forall ((VAR_V_242 $$unsorted) (VAR_V_243 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_243) (tptp.pred_attacker VAR_V_242)) (tptp.pred_mess VAR_V_243 VAR_V_242))))
% 0.36/0.62  (assume a149 (tptp.pred_attacker tptp.name_c))
% 0.36/0.62  (assume a150 (tptp.pred_attacker tptp.name_I))
% 0.36/0.62  (assume a151 (tptp.pred_attacker tptp.name_B))
% 0.36/0.62  (assume a152 (tptp.pred_attacker tptp.name_A))
% 0.36/0.62  (assume a153 (forall ((VAR_V_245 $$unsorted)) (tptp.pred_equal VAR_V_245 VAR_V_245)))
% 0.36/0.62  (assume a154 (forall ((VAR_V_246 $$unsorted)) (tptp.pred_attacker (tptp.name_new0x2Dname VAR_V_246))))
% 0.36/0.62  (assume a155 (tptp.pred_table (tptp.tuple_keys tptp.name_A (tptp.constr_pkey tptp.name_skA))))
% 0.36/0.62  (assume a156 (tptp.pred_table (tptp.tuple_keys tptp.name_B (tptp.constr_pkey tptp.name_skB))))
% 0.36/0.62  (assume a157 (tptp.pred_attacker (tptp.tuple_out_1 (tptp.constr_pkey tptp.name_skA))))
% 0.36/0.62  (assume a158 (tptp.pred_attacker (tptp.tuple_out_2 (tptp.constr_pkey tptp.name_skB))))
% 0.36/0.62  (assume a159 (tptp.pred_attacker (tptp.tuple_out_3 (tptp.constr_pkey tptp.name_skS))))
% 0.36/0.62  (assume a160 (tptp.pred_attacker (tptp.tuple_client_A_out_1 tptp.name_A tptp.name_I)))
% 0.36/0.62  (assume a161 (forall ((VAR_0X40SID_366 $$unsorted) (VAR_SIGN_I_PKI_365 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_I_PKI_365 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_SIGN_I_PKI_365))) (tptp.pred_attacker (tptp.tuple_client_A_out_3 (tptp.constr_aenc (tptp.tuple_2 (tptp.name_Na VAR_0X40SID_366) tptp.name_A) (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_I_PKI_365 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.36/0.62  (assume a162 (forall ((VAR_0X40SID_414 $$unsorted) (VAR_AENC_NA_NI_415 $$unsorted) (VAR_SIGN_I_PKI_416 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_414) (tptp.constr_tuple_2_get_0x30 (tptp.constr_adec VAR_AENC_NA_NI_415 tptp.name_skA))) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_AENC_NA_NI_415)) (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_I_PKI_416 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_SIGN_I_PKI_416))) (tptp.pred_attacker (tptp.tuple_client_A_out_5 (tptp.constr_aenc (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_adec VAR_AENC_NA_NI_415 tptp.name_skA)) (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_I_PKI_416 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.36/0.62  (assume a163 (tptp.pred_attacker (tptp.tuple_client_B_out_1 tptp.name_B tptp.name_A)))
% 0.36/0.62  (assume a164 (forall ((VAR_0X40SID_523 $$unsorted) (VAR_AENC_NA_A_521 $$unsorted) (VAR_SIGN_A_PKA_522 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_521 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_521)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_522 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_522))) (tptp.pred_attacker (tptp.tuple_client_B_out_4 (tptp.constr_aenc (tptp.tuple_2 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_adec VAR_AENC_NA_A_521 tptp.name_skB)) (tptp.name_Nb VAR_0X40SID_523)) (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_A_PKA_522 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.36/0.62  (assume a165 (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NA_A_547 $$unsorted) (VAR_AENC_NB_546 $$unsorted) (VAR_SIGN_A_PKA_548 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))))
% 0.36/0.62  (assume a166 (forall ((VAR_DST_587 $$unsorted) (VAR_PKDST_588 $$unsorted) (VAR_SRC_589 $$unsorted)) (=> (and (tptp.pred_table (tptp.tuple_keys VAR_DST_587 VAR_PKDST_588)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_SRC_589 VAR_DST_587))) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 (tptp.constr_sign (tptp.tuple_2 VAR_DST_587 VAR_PKDST_588) tptp.name_skS))))))
% 0.36/0.62  (assume a167 (forall ((VAR_HOST_641 $$unsorted) (VAR_PK_642 $$unsorted)) (=> (and (not (= VAR_HOST_641 tptp.name_B)) (not (= VAR_HOST_641 tptp.name_A)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_HOST_641 VAR_PK_642))) (tptp.pred_table (tptp.tuple_keys VAR_HOST_641 VAR_PK_642)))))
% 0.36/0.62  (assume a168 (not (tptp.pred_attacker tptp.name_objective)))
% 0.36/0.62  (assume a169 true)
% 0.36/0.62  (step t1 (cl (=> (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126)))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t2)
% 0.36/0.62  (assume t2.a0 (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))))
% 0.36/0.62  (step t2.t1 (cl (or (not (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule forall_inst :args ((:= VAR_V_126 tptp.name_objective)))
% 0.36/0.62  (step t2.t2 (cl (not (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule or :premises (t2.t1))
% 0.36/0.62  (step t2.t3 (cl (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule resolution :premises (t2.t2 t2.a0))
% 0.36/0.62  (step t2 (cl (not (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule subproof :discharge (t2.a0))
% 0.36/0.62  (step t3 (cl (=> (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule resolution :premises (t1 t2))
% 0.36/0.62  (step t4 (cl (=> (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (not (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule implies_neg2)
% 0.36/0.62  (step t5 (cl (=> (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (=> (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule resolution :premises (t3 t4))
% 0.36/0.62  (step t6 (cl (=> (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule contraction :premises (t5))
% 0.36/0.62  (step t7 (cl (not (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule implies :premises (t6))
% 0.36/0.62  (step t8 (cl (not (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)) :rule or_pos)
% 0.36/0.62  (step t9 (cl (tptp.pred_attacker tptp.name_objective) (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (not (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule reordering :premises (t8))
% 0.36/0.62  (step t10 (cl (not (= (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NA_A_547 $$unsorted) (VAR_AENC_NB_546 $$unsorted) (VAR_SIGN_A_PKA_548 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))))) (not (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NA_A_547 $$unsorted) (VAR_AENC_NB_546 $$unsorted) (VAR_SIGN_A_PKA_548 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))))) (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))))) :rule equiv_pos2)
% 0.36/0.62  (step t11 (cl (= (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NA_A_547 $$unsorted) (VAR_AENC_NB_546 $$unsorted) (VAR_SIGN_A_PKA_548 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NA_A_547 $$unsorted) (VAR_AENC_NB_546 $$unsorted) (VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))))) :rule all_simplify)
% 0.36/0.62  (step t12 (cl (= (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NA_A_547 $$unsorted) (VAR_AENC_NB_546 $$unsorted) (VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))))) :rule all_simplify)
% 0.36/0.62  (step t13 (cl (= (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NA_A_547 $$unsorted) (VAR_AENC_NB_546 $$unsorted) (VAR_SIGN_A_PKA_548 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))))) :rule trans :premises (t11 t12))
% 0.36/0.62  (step t14 (cl (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))))) :rule resolution :premises (t10 t13 a165))
% 0.36/0.62  (step t15 (cl (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))) :rule or :premises (t14))
% 0.36/0.62  (step t16 (cl (=> (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)))))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t17)
% 0.36/0.62  (assume t17.a0 (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))))
% 0.36/0.62  (step t17.t1 (cl (or (not (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule forall_inst :args ((:= VAR_0X40SID_545 tptp.constr_CONST_0x30) (:= VAR_AENC_NB_546 tptp.constr_CONST_1)))
% 0.36/0.62  (step t17.t2 (cl (not (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule or :premises (t17.t1))
% 0.36/0.62  (step t17.t3 (cl (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule resolution :premises (t17.t2 t17.a0))
% 0.36/0.62  (step t17 (cl (not (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule subproof :discharge (t17.a0))
% 0.36/0.62  (step t18 (cl (=> (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule resolution :premises (t16 t17))
% 0.36/0.62  (step t19 (cl (=> (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule implies_neg2)
% 0.36/0.62  (step t20 (cl (=> (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (=> (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule resolution :premises (t18 t19))
% 0.36/0.62  (step t21 (cl (=> (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule contraction :premises (t20))
% 0.36/0.62  (step t22 (cl (not (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule implies :premises (t21))
% 0.36/0.62  (step t23 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule or_pos)
% 0.36/0.62  (step t24 (cl (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule reordering :premises (t23))
% 0.36/0.62  (step t25 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))) :rule or_pos)
% 0.36/0.62  (step t26 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule reordering :premises (t25))
% 0.36/0.62  (step t27 (cl (=> (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151))))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t28)
% 0.36/0.62  (assume t28.a0 (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))))
% 0.36/0.62  (step t28.t1 (cl (or (not (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_151 tptp.constr_CONST_1)))
% 0.36/0.62  (step t28.t2 (cl (not (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule or :premises (t28.t1))
% 0.36/0.62  (step t28.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule resolution :premises (t28.t2 t28.a0))
% 0.36/0.62  (step t28 (cl (not (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule subproof :discharge (t28.a0))
% 0.36/0.62  (step t29 (cl (=> (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule resolution :premises (t27 t28))
% 0.36/0.62  (step t30 (cl (=> (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.36/0.62  (step t31 (cl (=> (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule resolution :premises (t29 t30))
% 0.36/0.62  (step t32 (cl (=> (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule contraction :premises (t31))
% 0.36/0.62  (step t33 (cl (not (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule implies :premises (t32))
% 0.36/0.62  (step t34 (cl (not (= (forall ((VAR_V_151 $$unsorted)) (=> (tptp.pred_attacker VAR_V_151) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))) (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))))) (not (forall ((VAR_V_151 $$unsorted)) (=> (tptp.pred_attacker VAR_V_151) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151))))) (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151))))) :rule equiv_pos2)
% 0.36/0.62  (step t35 (cl (= (forall ((VAR_V_151 $$unsorted)) (=> (tptp.pred_attacker VAR_V_151) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))) (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151)))))) :rule all_simplify)
% 0.36/0.62  (step t36 (cl (forall ((VAR_V_151 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_151)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_151))))) :rule resolution :premises (t34 t35 a119))
% 0.36/0.62  (step t37 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule resolution :premises (t33 t36))
% 0.36/0.62  (step t38 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))) :rule resolution :premises (t26 a142 t37))
% 0.36/0.62  (step t39 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t40)
% 0.36/0.62  (assume t40.a0 (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)))
% 0.36/0.62  (step t40.t1 (cl (or (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule forall_inst :args ((:= VAR_X_35 (tptp.name_Nb tptp.constr_CONST_0x30)) (:= VAR_Y_36 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))))
% 0.36/0.62  (step t40.t2 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule or :premises (t40.t1))
% 0.36/0.62  (step t40.t3 (cl (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t40.t2 t40.a0))
% 0.36/0.62  (step t40 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule subproof :discharge (t40.a0))
% 0.36/0.62  (step t41 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t39 t40))
% 0.36/0.62  (step t42 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule implies_neg2)
% 0.36/0.62  (step t43 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t41 t42))
% 0.36/0.62  (step t44 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule contraction :premises (t43))
% 0.36/0.62  (step t45 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule implies :premises (t44))
% 0.36/0.62  (step t46 (cl (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t45 a86))
% 0.36/0.62  (step t47 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule resolution :premises (t24 t38 t46))
% 0.36/0.62  (step t48 (cl (not (forall ((VAR_0X40SID_545 $$unsorted) (VAR_AENC_NB_546 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_545) (tptp.constr_adec VAR_AENC_NB_546 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_546))))))) :rule resolution :premises (t22 t47))
% 0.36/0.62  (step t49 (cl (=> (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)))))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t50)
% 0.36/0.62  (assume t50.a0 (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))))
% 0.36/0.62  (step t50.t1 (cl (or (not (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule forall_inst :args ((:= VAR_AENC_NA_A_547 tptp.constr_CONST_1)))
% 0.36/0.62  (step t50.t2 (cl (not (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule or :premises (t50.t1))
% 0.36/0.62  (step t50.t3 (cl (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule resolution :premises (t50.t2 t50.a0))
% 0.36/0.62  (step t50 (cl (not (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule subproof :discharge (t50.a0))
% 0.36/0.62  (step t51 (cl (=> (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule resolution :premises (t49 t50))
% 0.36/0.62  (step t52 (cl (=> (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule implies_neg2)
% 0.36/0.62  (step t53 (cl (=> (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (=> (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule resolution :premises (t51 t52))
% 0.36/0.62  (step t54 (cl (=> (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule contraction :premises (t53))
% 0.36/0.62  (step t55 (cl (not (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule implies :premises (t54))
% 0.36/0.62  (step t56 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule or_pos)
% 0.36/0.62  (step t57 (cl (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule reordering :premises (t56))
% 0.36/0.62  (step t58 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))) :rule or_pos)
% 0.36/0.62  (step t59 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule reordering :premises (t58))
% 0.36/0.62  (step t60 (cl (=> (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157))))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t61)
% 0.36/0.62  (assume t61.a0 (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))))
% 0.36/0.62  (step t61.t1 (cl (or (not (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_157 tptp.constr_CONST_1)))
% 0.36/0.62  (step t61.t2 (cl (not (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule or :premises (t61.t1))
% 0.36/0.62  (step t61.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t61.t2 t61.a0))
% 0.36/0.62  (step t61 (cl (not (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule subproof :discharge (t61.a0))
% 0.36/0.62  (step t62 (cl (=> (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t60 t61))
% 0.36/0.62  (step t63 (cl (=> (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.36/0.62  (step t64 (cl (=> (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule resolution :premises (t62 t63))
% 0.36/0.62  (step t65 (cl (=> (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule contraction :premises (t64))
% 0.36/0.62  (step t66 (cl (not (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule implies :premises (t65))
% 0.36/0.62  (step t67 (cl (not (= (forall ((VAR_V_157 $$unsorted)) (=> (tptp.pred_attacker VAR_V_157) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))) (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))))) (not (forall ((VAR_V_157 $$unsorted)) (=> (tptp.pred_attacker VAR_V_157) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157))))) (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157))))) :rule equiv_pos2)
% 0.36/0.62  (step t68 (cl (= (forall ((VAR_V_157 $$unsorted)) (=> (tptp.pred_attacker VAR_V_157) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))) (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157)))))) :rule all_simplify)
% 0.36/0.62  (step t69 (cl (forall ((VAR_V_157 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_157)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_157))))) :rule resolution :premises (t67 t68 a121))
% 0.36/0.62  (step t70 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t66 t69))
% 0.36/0.62  (step t71 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))) :rule resolution :premises (t59 a142 t70))
% 0.36/0.62  (step t72 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t73)
% 0.36/0.62  (assume t73.a0 (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)))
% 0.36/0.62  (step t73.t1 (cl (or (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))))) :rule forall_inst :args ((:= VAR_X_35 tptp.name_A) (:= VAR_Y_36 (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))))
% 0.36/0.62  (step t73.t2 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule or :premises (t73.t1))
% 0.36/0.62  (step t73.t3 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t73.t2 t73.a0))
% 0.36/0.62  (step t73 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule subproof :discharge (t73.a0))
% 0.36/0.62  (step t74 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t72 t73))
% 0.36/0.62  (step t75 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))))) :rule implies_neg2)
% 0.36/0.62  (step t76 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))))) :rule resolution :premises (t74 t75))
% 0.36/0.62  (step t77 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))))) :rule contraction :premises (t76))
% 0.36/0.62  (step t78 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule implies :premises (t77))
% 0.36/0.62  (step t79 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t78 a86))
% 0.36/0.62  (step t80 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule resolution :premises (t57 t71 t79))
% 0.36/0.62  (step t81 (cl (not (forall ((VAR_AENC_NA_A_547 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_547 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_547))))))) :rule resolution :premises (t55 t80))
% 0.36/0.62  (step t82 (cl (=> (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t83)
% 0.36/0.62  (assume t83.a0 (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))))
% 0.36/0.62  (step t83.t1 (cl (or (not (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule forall_inst :args ((:= VAR_SIGN_A_PKA_548 tptp.constr_CONST_1)))
% 0.36/0.62  (step t83.t2 (cl (not (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule or :premises (t83.t1))
% 0.36/0.62  (step t83.t3 (cl (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t83.t2 t83.a0))
% 0.36/0.62  (step t83 (cl (not (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule subproof :discharge (t83.a0))
% 0.36/0.62  (step t84 (cl (=> (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t82 t83))
% 0.36/0.62  (step t85 (cl (=> (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule implies_neg2)
% 0.36/0.62  (step t86 (cl (=> (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (=> (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule resolution :premises (t84 t85))
% 0.36/0.62  (step t87 (cl (=> (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule contraction :premises (t86))
% 0.36/0.62  (step t88 (cl (not (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule implies :premises (t87))
% 0.36/0.62  (step t89 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule or_pos)
% 0.36/0.62  (step t90 (cl (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule reordering :premises (t89))
% 0.36/0.62  (step t91 (cl (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))) :rule or_pos)
% 0.36/0.62  (step t92 (cl (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule reordering :premises (t91))
% 0.36/0.62  (step t93 (cl (=> (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163))))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t94)
% 0.36/0.62  (assume t94.a0 (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))))
% 0.36/0.62  (step t94.t1 (cl (or (not (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_163 tptp.constr_CONST_1)))
% 0.36/0.62  (step t94.t2 (cl (not (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule or :premises (t94.t1))
% 0.36/0.62  (step t94.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t94.t2 t94.a0))
% 0.36/0.62  (step t94 (cl (not (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule subproof :discharge (t94.a0))
% 0.36/0.62  (step t95 (cl (=> (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t93 t94))
% 0.36/0.62  (step t96 (cl (=> (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.36/0.62  (step t97 (cl (=> (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t95 t96))
% 0.36/0.62  (step t98 (cl (=> (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule contraction :premises (t97))
% 0.36/0.62  (step t99 (cl (not (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule implies :premises (t98))
% 0.36/0.62  (step t100 (cl (not (= (forall ((VAR_V_163 $$unsorted)) (=> (tptp.pred_attacker VAR_V_163) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))) (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))))) (not (forall ((VAR_V_163 $$unsorted)) (=> (tptp.pred_attacker VAR_V_163) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163))))) (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163))))) :rule equiv_pos2)
% 0.36/0.62  (step t101 (cl (= (forall ((VAR_V_163 $$unsorted)) (=> (tptp.pred_attacker VAR_V_163) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))) (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163)))))) :rule all_simplify)
% 0.36/0.62  (step t102 (cl (forall ((VAR_V_163 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_163))))) :rule resolution :premises (t100 t101 a123))
% 0.36/0.62  (step t103 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t99 t102))
% 0.36/0.62  (step t104 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))) :rule resolution :premises (t92 a142 t103))
% 0.36/0.62  (step t105 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) :rule implies_neg1)
% 0.36/0.62  (anchor :step t106)
% 0.36/0.62  (assume t106.a0 (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)))
% 0.36/0.62  (step t106.t1 (cl (or (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS)))))) :rule forall_inst :args ((:= VAR_X_35 tptp.name_A) (:= VAR_Y_36 (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))))
% 0.36/0.62  (step t106.t2 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule or :premises (t106.t1))
% 0.36/0.62  (step t106.t3 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule resolution :premises (t106.t2 t106.a0))
% 0.36/0.62  (step t106 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule subproof :discharge (t106.a0))
% 0.36/0.62  (step t107 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule resolution :premises (t105 t106))
% 0.36/0.62  (step t108 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS)))))) :rule implies_neg2)
% 0.36/0.62  (step t109 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS)))))) :rule resolution :premises (t107 t108))
% 0.36/0.62  (step t110 (cl (=> (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS)))))) :rule contraction :premises (t109))
% 0.36/0.62  (step t111 (cl (not (forall ((VAR_X_35 $$unsorted) (VAR_Y_36 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_35 VAR_Y_36))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule implies :premises (t110))
% 0.36/0.62  (step t112 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule resolution :premises (t111 a86))
% 0.36/0.62  (step t113 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule resolution :premises (t90 t104 t112))
% 0.36/0.62  (step t114 (cl (not (forall ((VAR_SIGN_A_PKA_548 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_548 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_548))))))) :rule resolution :premises (t88 t113))
% 0.36/0.62  (step t115 (cl (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) :rule resolution :premises (t15 t48 t81 t114))
% 0.36/0.62  (step t116 (cl (not (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule resolution :premises (t9 a168 t115))
% 0.36/0.62  (step t117 (cl (not (= (forall ((VAR_V_126 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126)) (tptp.pred_attacker VAR_V_126))) (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))))) (not (forall ((VAR_V_126 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126)) (tptp.pred_attacker VAR_V_126)))) (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126)))) :rule equiv_pos2)
% 0.36/0.62  (step t118 (cl (= (forall ((VAR_V_126 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126)) (tptp.pred_attacker VAR_V_126))) (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126))))) :rule all_simplify)
% 0.36/0.62  (step t119 (cl (forall ((VAR_V_126 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_126))) (tptp.pred_attacker VAR_V_126)))) :rule resolution :premises (t117 t118 a113))
% 0.36/0.63  (step t120 (cl) :rule resolution :premises (t7 t116 t119))
% 0.36/0.63  
% 0.36/0.63  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.Qcc18xjfHH/cvc5---1.0.5_21217.smt2
% 0.36/0.63  % cvc5---1.0.5 exiting
% 0.36/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------