TSTP Solution File: SWW965+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW965+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 18:20:51 EDT 2024
% Result : Theorem 0.47s 0.65s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW965+1 : TPTP v8.2.0. Released v7.4.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 26 07:01:24 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.47/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.47/0.65 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.FCaYNT1S9v/cvc5---1.0.5_7998.smt2
% 0.47/0.65 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.FCaYNT1S9v/cvc5---1.0.5_7998.smt2
% 0.47/0.65 (assume a0 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_1)))
% 0.47/0.65 (assume a1 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_2)))
% 0.47/0.65 (assume a2 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_3)))
% 0.47/0.65 (assume a3 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_4)))
% 0.47/0.65 (assume a4 (not (= tptp.constr_CONST_0x30 tptp.constr_ZERO)))
% 0.47/0.65 (assume a5 (not (= tptp.constr_CONST_0x30 tptp.name_A)))
% 0.47/0.65 (assume a6 (not (= tptp.constr_CONST_0x30 tptp.name_B)))
% 0.47/0.65 (assume a7 (not (= tptp.constr_CONST_0x30 tptp.name_I)))
% 0.47/0.65 (assume a8 (not (= tptp.constr_CONST_0x30 tptp.name_c)))
% 0.47/0.65 (assume a9 (not (= tptp.constr_CONST_0x30 tptp.name_objective)))
% 0.47/0.65 (assume a10 (not (= tptp.constr_CONST_0x30 tptp.name_skA)))
% 0.47/0.65 (assume a11 (not (= tptp.constr_CONST_0x30 tptp.name_skB)))
% 0.47/0.65 (assume a12 (not (= tptp.constr_CONST_0x30 tptp.name_skS)))
% 0.47/0.65 (assume a13 (not (= tptp.constr_CONST_1 tptp.constr_CONST_2)))
% 0.47/0.65 (assume a14 (not (= tptp.constr_CONST_1 tptp.constr_CONST_3)))
% 0.47/0.65 (assume a15 (not (= tptp.constr_CONST_1 tptp.constr_CONST_4)))
% 0.47/0.65 (assume a16 (not (= tptp.constr_CONST_1 tptp.constr_ZERO)))
% 0.47/0.65 (assume a17 (not (= tptp.constr_CONST_1 tptp.name_A)))
% 0.47/0.65 (assume a18 (not (= tptp.constr_CONST_1 tptp.name_B)))
% 0.47/0.65 (assume a19 (not (= tptp.constr_CONST_1 tptp.name_I)))
% 0.47/0.65 (assume a20 (not (= tptp.constr_CONST_1 tptp.name_c)))
% 0.47/0.65 (assume a21 (not (= tptp.constr_CONST_1 tptp.name_objective)))
% 0.47/0.65 (assume a22 (not (= tptp.constr_CONST_1 tptp.name_skA)))
% 0.47/0.65 (assume a23 (not (= tptp.constr_CONST_1 tptp.name_skB)))
% 0.47/0.65 (assume a24 (not (= tptp.constr_CONST_1 tptp.name_skS)))
% 0.47/0.65 (assume a25 (not (= tptp.constr_CONST_2 tptp.constr_CONST_3)))
% 0.47/0.65 (assume a26 (not (= tptp.constr_CONST_2 tptp.constr_CONST_4)))
% 0.47/0.65 (assume a27 (not (= tptp.constr_CONST_2 tptp.constr_ZERO)))
% 0.47/0.65 (assume a28 (not (= tptp.constr_CONST_2 tptp.name_A)))
% 0.47/0.65 (assume a29 (not (= tptp.constr_CONST_2 tptp.name_B)))
% 0.47/0.65 (assume a30 (not (= tptp.constr_CONST_2 tptp.name_I)))
% 0.47/0.65 (assume a31 (not (= tptp.constr_CONST_2 tptp.name_c)))
% 0.47/0.65 (assume a32 (not (= tptp.constr_CONST_2 tptp.name_objective)))
% 0.47/0.65 (assume a33 (not (= tptp.constr_CONST_2 tptp.name_skA)))
% 0.47/0.65 (assume a34 (not (= tptp.constr_CONST_2 tptp.name_skB)))
% 0.47/0.65 (assume a35 (not (= tptp.constr_CONST_2 tptp.name_skS)))
% 0.47/0.65 (assume a36 (not (= tptp.constr_CONST_3 tptp.constr_CONST_4)))
% 0.47/0.65 (assume a37 (not (= tptp.constr_CONST_3 tptp.constr_ZERO)))
% 0.47/0.65 (assume a38 (not (= tptp.constr_CONST_3 tptp.name_A)))
% 0.47/0.65 (assume a39 (not (= tptp.constr_CONST_3 tptp.name_B)))
% 0.47/0.65 (assume a40 (not (= tptp.constr_CONST_3 tptp.name_I)))
% 0.47/0.65 (assume a41 (not (= tptp.constr_CONST_3 tptp.name_c)))
% 0.47/0.65 (assume a42 (not (= tptp.constr_CONST_3 tptp.name_objective)))
% 0.47/0.65 (assume a43 (not (= tptp.constr_CONST_3 tptp.name_skA)))
% 0.47/0.65 (assume a44 (not (= tptp.constr_CONST_3 tptp.name_skB)))
% 0.47/0.65 (assume a45 (not (= tptp.constr_CONST_3 tptp.name_skS)))
% 0.47/0.65 (assume a46 (not (= tptp.constr_CONST_4 tptp.constr_ZERO)))
% 0.47/0.65 (assume a47 (not (= tptp.constr_CONST_4 tptp.name_A)))
% 0.47/0.65 (assume a48 (not (= tptp.constr_CONST_4 tptp.name_B)))
% 0.47/0.65 (assume a49 (not (= tptp.constr_CONST_4 tptp.name_I)))
% 0.47/0.65 (assume a50 (not (= tptp.constr_CONST_4 tptp.name_c)))
% 0.47/0.65 (assume a51 (not (= tptp.constr_CONST_4 tptp.name_objective)))
% 0.47/0.65 (assume a52 (not (= tptp.constr_CONST_4 tptp.name_skA)))
% 0.47/0.65 (assume a53 (not (= tptp.constr_CONST_4 tptp.name_skB)))
% 0.47/0.65 (assume a54 (not (= tptp.constr_CONST_4 tptp.name_skS)))
% 0.47/0.65 (assume a55 (not (= tptp.constr_ZERO tptp.name_A)))
% 0.47/0.65 (assume a56 (not (= tptp.constr_ZERO tptp.name_B)))
% 0.47/0.65 (assume a57 (not (= tptp.constr_ZERO tptp.name_I)))
% 0.47/0.65 (assume a58 (not (= tptp.constr_ZERO tptp.name_c)))
% 0.47/0.65 (assume a59 (not (= tptp.constr_ZERO tptp.name_objective)))
% 0.47/0.65 (assume a60 (not (= tptp.constr_ZERO tptp.name_skA)))
% 0.47/0.65 (assume a61 (not (= tptp.constr_ZERO tptp.name_skB)))
% 0.47/0.65 (assume a62 (not (= tptp.constr_ZERO tptp.name_skS)))
% 0.47/0.65 (assume a63 (not (= tptp.name_A tptp.name_B)))
% 0.47/0.65 (assume a64 (not (= tptp.name_A tptp.name_I)))
% 0.47/0.65 (assume a65 (not (= tptp.name_A tptp.name_c)))
% 0.47/0.65 (assume a66 (not (= tptp.name_A tptp.name_objective)))
% 0.47/0.65 (assume a67 (not (= tptp.name_A tptp.name_skA)))
% 0.47/0.65 (assume a68 (not (= tptp.name_A tptp.name_skB)))
% 0.47/0.65 (assume a69 (not (= tptp.name_A tptp.name_skS)))
% 0.47/0.65 (assume a70 (not (= tptp.name_B tptp.name_I)))
% 0.47/0.65 (assume a71 (not (= tptp.name_B tptp.name_c)))
% 0.47/0.65 (assume a72 (not (= tptp.name_B tptp.name_objective)))
% 0.47/0.65 (assume a73 (not (= tptp.name_B tptp.name_skA)))
% 0.47/0.65 (assume a74 (not (= tptp.name_B tptp.name_skB)))
% 0.47/0.65 (assume a75 (not (= tptp.name_B tptp.name_skS)))
% 0.47/0.65 (assume a76 (not (= tptp.name_I tptp.name_c)))
% 0.47/0.65 (assume a77 (not (= tptp.name_I tptp.name_objective)))
% 0.47/0.65 (assume a78 (not (= tptp.name_I tptp.name_skA)))
% 0.47/0.65 (assume a79 (not (= tptp.name_I tptp.name_skB)))
% 0.47/0.65 (assume a80 (not (= tptp.name_I tptp.name_skS)))
% 0.47/0.65 (assume a81 (not (= tptp.name_c tptp.name_objective)))
% 0.47/0.65 (assume a82 (not (= tptp.name_c tptp.name_skA)))
% 0.47/0.65 (assume a83 (not (= tptp.name_c tptp.name_skB)))
% 0.47/0.65 (assume a84 (not (= tptp.name_c tptp.name_skS)))
% 0.47/0.65 (assume a85 (not (= tptp.name_objective tptp.name_skA)))
% 0.47/0.65 (assume a86 (not (= tptp.name_objective tptp.name_skB)))
% 0.47/0.65 (assume a87 (not (= tptp.name_objective tptp.name_skS)))
% 0.47/0.65 (assume a88 (not (= tptp.name_skA tptp.name_skB)))
% 0.47/0.65 (assume a89 (not (= tptp.name_skA tptp.name_skS)))
% 0.47/0.65 (assume a90 (not (= tptp.name_skB tptp.name_skS)))
% 0.47/0.65 (assume a91 (forall ((VAR_K_24 $$unsorted) (VAR_M_23 $$unsorted)) (= (tptp.constr_adec (tptp.constr_aenc VAR_M_23 (tptp.constr_pkey VAR_K_24)) VAR_K_24) VAR_M_23)))
% 0.47/0.65 (assume a92 (forall ((VAR_K_22 $$unsorted) (VAR_M_21 $$unsorted)) (= (tptp.constr_dec (tptp.constr_enc VAR_M_21 VAR_K_22) VAR_K_22) VAR_M_21)))
% 0.47/0.65 (assume a93 (forall ((VAR_K_20X30 $$unsorted) (VAR_M_19 $$unsorted)) (= (tptp.constr_getmess (tptp.constr_sign VAR_M_19 VAR_K_20X30)) VAR_M_19)))
% 0.47/0.65 (assume a94 (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)))
% 0.47/0.65 (assume a95 (forall ((VAR_X_18 $$unsorted)) (= (tptp.constr_xor VAR_X_18 VAR_X_18) tptp.constr_ZERO)))
% 0.47/0.65 (assume a96 (forall ((VAR_X_17 $$unsorted)) (= (tptp.constr_xor VAR_X_17 tptp.constr_ZERO) VAR_X_17)))
% 0.47/0.65 (assume a97 (forall ((VAR_X_15 $$unsorted) (VAR_Y_16 $$unsorted)) (= (tptp.constr_xor VAR_X_15 VAR_Y_16) (tptp.constr_xor VAR_Y_16 VAR_X_15))))
% 0.47/0.65 (assume a98 (forall ((VAR_X_13 $$unsorted) (VAR_Y_14 $$unsorted) (VAR_Z_0X30 $$unsorted)) (= (tptp.constr_xor VAR_X_13 (tptp.constr_xor VAR_Y_14 VAR_Z_0X30)) (tptp.constr_xor (tptp.constr_xor VAR_X_13 VAR_Y_14) VAR_Z_0X30))))
% 0.47/0.65 (assume a99 (forall ((VAR_X0X30_11 $$unsorted) (VAR_X1_12 $$unsorted)) (= (tptp.constr_tuple_2_get_1_bitstring (tptp.tuple_2 VAR_X0X30_11 VAR_X1_12)) VAR_X1_12)))
% 0.47/0.65 (assume a100 (forall ((VAR_X0X30_9 $$unsorted) (VAR_X1_10X30 $$unsorted)) (= (tptp.constr_tuple_2_get_0x30_bitstring (tptp.tuple_2 VAR_X0X30_9 VAR_X1_10X30)) VAR_X0X30_9)))
% 0.47/0.65 (assume a101 (forall ((VAR_X0X30_7 $$unsorted) (VAR_X1_8 $$unsorted)) (= (tptp.constr_tuple_2_get_1 (tptp.tuple_2 VAR_X0X30_7 VAR_X1_8)) VAR_X1_8)))
% 0.47/0.65 (assume a102 (forall ((VAR_X0X30_0X30 $$unsorted) (VAR_X1_0X30 $$unsorted)) (= (tptp.constr_tuple_2_get_0x30 (tptp.tuple_2 VAR_X0X30_0X30 VAR_X1_0X30)) VAR_X0X30_0X30)))
% 0.47/0.65 (assume a103 (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)))
% 0.47/0.65 (assume a104 (forall ((VAR_V_49 $$unsorted) (VAR_V_50X30 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_49) (tptp.pred_attacker VAR_V_50X30)) (tptp.pred_attacker (tptp.constr_xor VAR_V_49 VAR_V_50X30)))))
% 0.47/0.65 (assume a105 (forall ((VAR_V_52 $$unsorted)) (=> (tptp.pred_attacker VAR_V_52) (tptp.pred_attacker (tptp.constr_tuple_2_get_1_bitstring VAR_V_52)))))
% 0.47/0.65 (assume a106 (forall ((VAR_V_54 $$unsorted)) (=> (tptp.pred_attacker VAR_V_54) (tptp.pred_attacker (tptp.constr_tuple_2_get_1 VAR_V_54)))))
% 0.47/0.65 (assume a107 (forall ((VAR_V_56 $$unsorted)) (=> (tptp.pred_attacker VAR_V_56) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30_bitstring VAR_V_56)))))
% 0.47/0.65 (assume a108 (forall ((VAR_V_58 $$unsorted)) (=> (tptp.pred_attacker VAR_V_58) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30 VAR_V_58)))))
% 0.47/0.65 (assume a109 (tptp.pred_attacker tptp.tuple_true))
% 0.47/0.65 (assume a110 (forall ((VAR_V_61 $$unsorted) (VAR_V_62 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_61) (tptp.pred_attacker VAR_V_62)) (tptp.pred_attacker (tptp.constr_sign VAR_V_61 VAR_V_62)))))
% 0.47/0.65 (assume a111 (forall ((VAR_V_64 $$unsorted)) (=> (tptp.pred_attacker VAR_V_64) (tptp.pred_attacker (tptp.constr_pkey VAR_V_64)))))
% 0.47/0.65 (assume a112 (forall ((VAR_V_66 $$unsorted)) (=> (tptp.pred_attacker VAR_V_66) (tptp.pred_attacker (tptp.tuple_out_3 VAR_V_66)))))
% 0.47/0.65 (assume a113 (forall ((VAR_V_69 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_3 VAR_V_69)) (tptp.pred_attacker VAR_V_69))))
% 0.47/0.65 (assume a114 (forall ((VAR_V_72 $$unsorted)) (=> (tptp.pred_attacker VAR_V_72) (tptp.pred_attacker (tptp.tuple_out_2 VAR_V_72)))))
% 0.47/0.65 (assume a115 (forall ((VAR_V_75 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_2 VAR_V_75)) (tptp.pred_attacker VAR_V_75))))
% 0.47/0.65 (assume a116 (forall ((VAR_V_78 $$unsorted)) (=> (tptp.pred_attacker VAR_V_78) (tptp.pred_attacker (tptp.tuple_out_1 VAR_V_78)))))
% 0.47/0.65 (assume a117 (forall ((VAR_V_81 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_1 VAR_V_81)) (tptp.pred_attacker VAR_V_81))))
% 0.47/0.65 (assume a118 (forall ((VAR_V_85 $$unsorted)) (=> (tptp.pred_attacker VAR_V_85) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 VAR_V_85)))))
% 0.47/0.65 (assume a119 (forall ((VAR_V_88 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 VAR_V_88)) (tptp.pred_attacker VAR_V_88))))
% 0.47/0.65 (assume a120 (forall ((VAR_V_92 $$unsorted) (VAR_V_93 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_92) (tptp.pred_attacker VAR_V_93)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_92 VAR_V_93)))))
% 0.47/0.65 (assume a121 (forall ((VAR_V_10X300X30 $$unsorted) (VAR_V_10X301 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_10X300X30 VAR_V_10X301)) (tptp.pred_attacker VAR_V_10X300X30))))
% 0.47/0.65 (assume a122 (forall ((VAR_V_10X303 $$unsorted) (VAR_V_10X304 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_10X303 VAR_V_10X304)) (tptp.pred_attacker VAR_V_10X304))))
% 0.47/0.65 (assume a123 (forall ((VAR_V_10X308 $$unsorted) (VAR_V_10X309 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_10X308) (tptp.pred_attacker VAR_V_10X309)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_10X308 VAR_V_10X309)))))
% 0.47/0.65 (assume a124 (forall ((VAR_V_116 $$unsorted) (VAR_V_117 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_116 VAR_V_117)) (tptp.pred_attacker VAR_V_116))))
% 0.47/0.65 (assume a125 (forall ((VAR_V_119 $$unsorted) (VAR_V_120X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_119 VAR_V_120X30)) (tptp.pred_attacker VAR_V_120X30))))
% 0.47/0.65 (assume a126 (forall ((VAR_V_123 $$unsorted)) (=> (tptp.pred_attacker VAR_V_123) (tptp.pred_attacker (tptp.constr_getmess VAR_V_123)))))
% 0.47/0.65 (assume a127 (tptp.pred_attacker tptp.tuple_false))
% 0.47/0.65 (assume a128 (forall ((VAR_V_126 $$unsorted) (VAR_V_127 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_126) (tptp.pred_attacker VAR_V_127)) (tptp.pred_attacker (tptp.constr_enc VAR_V_126 VAR_V_127)))))
% 0.47/0.65 (assume a129 (forall ((VAR_V_130X30 $$unsorted) (VAR_V_131 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_130X30) (tptp.pred_attacker VAR_V_131)) (tptp.pred_attacker (tptp.constr_dec VAR_V_130X30 VAR_V_131)))))
% 0.47/0.65 (assume a130 (forall ((VAR_V_133 $$unsorted)) (=> (tptp.pred_attacker VAR_V_133) (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_133)))))
% 0.47/0.65 (assume a131 (forall ((VAR_V_136 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136)) (tptp.pred_attacker VAR_V_136))))
% 0.47/0.65 (assume a132 (forall ((VAR_V_139 $$unsorted)) (=> (tptp.pred_attacker VAR_V_139) (tptp.pred_attacker (tptp.tuple_client_B_out_4 VAR_V_139)))))
% 0.47/0.65 (assume a133 (forall ((VAR_V_142 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_4 VAR_V_142)) (tptp.pred_attacker VAR_V_142))))
% 0.47/0.65 (assume a134 (forall ((VAR_V_146 $$unsorted) (VAR_V_147 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_146) (tptp.pred_attacker VAR_V_147)) (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_146 VAR_V_147)))))
% 0.47/0.65 (assume a135 (forall ((VAR_V_154 $$unsorted) (VAR_V_155 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_154 VAR_V_155)) (tptp.pred_attacker VAR_V_154))))
% 0.47/0.65 (assume a136 (forall ((VAR_V_157 $$unsorted) (VAR_V_158 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_157 VAR_V_158)) (tptp.pred_attacker VAR_V_158))))
% 0.47/0.65 (assume a137 (forall ((VAR_V_161 $$unsorted)) (=> (tptp.pred_attacker VAR_V_161) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))))
% 0.47/0.65 (assume a138 (forall ((VAR_V_164 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_164)) (tptp.pred_attacker VAR_V_164))))
% 0.47/0.65 (assume a139 (forall ((VAR_V_167 $$unsorted)) (=> (tptp.pred_attacker VAR_V_167) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))))
% 0.47/0.65 (assume a140 (forall ((VAR_V_170X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_170X30)) (tptp.pred_attacker VAR_V_170X30))))
% 0.47/0.65 (assume a141 (forall ((VAR_V_173 $$unsorted)) (=> (tptp.pred_attacker VAR_V_173) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))))
% 0.47/0.65 (assume a142 (forall ((VAR_V_176 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_176)) (tptp.pred_attacker VAR_V_176))))
% 0.47/0.65 (assume a143 (forall ((VAR_V_179 $$unsorted)) (=> (tptp.pred_attacker VAR_V_179) (tptp.pred_attacker (tptp.tuple_client_A_out_5 VAR_V_179)))))
% 0.47/0.65 (assume a144 (forall ((VAR_V_182 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_5 VAR_V_182)) (tptp.pred_attacker VAR_V_182))))
% 0.47/0.65 (assume a145 (forall ((VAR_V_185 $$unsorted)) (=> (tptp.pred_attacker VAR_V_185) (tptp.pred_attacker (tptp.tuple_client_A_out_3 VAR_V_185)))))
% 0.47/0.65 (assume a146 (forall ((VAR_V_188 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_3 VAR_V_188)) (tptp.pred_attacker VAR_V_188))))
% 0.47/0.65 (assume a147 (forall ((VAR_V_192 $$unsorted) (VAR_V_193 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_192) (tptp.pred_attacker VAR_V_193)) (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_192 VAR_V_193)))))
% 0.47/0.65 (assume a148 (forall ((VAR_V_20X300X30 $$unsorted) (VAR_V_20X301 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_20X300X30 VAR_V_20X301)) (tptp.pred_attacker VAR_V_20X300X30))))
% 0.47/0.65 (assume a149 (forall ((VAR_V_20X303 $$unsorted) (VAR_V_20X304 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_20X303 VAR_V_20X304)) (tptp.pred_attacker VAR_V_20X304))))
% 0.47/0.65 (assume a150 (forall ((VAR_V_20X307 $$unsorted)) (=> (tptp.pred_attacker VAR_V_20X307) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_20X307)))))
% 0.47/0.65 (assume a151 (forall ((VAR_V_210X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_210X30)) (tptp.pred_attacker VAR_V_210X30))))
% 0.47/0.65 (assume a152 (forall ((VAR_V_213 $$unsorted)) (=> (tptp.pred_attacker VAR_V_213) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_213)))))
% 0.47/0.65 (assume a153 (forall ((VAR_V_216 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_216)) (tptp.pred_attacker VAR_V_216))))
% 0.47/0.65 (assume a154 (forall ((VAR_V_220X30 $$unsorted) (VAR_V_221 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_220X30) (tptp.pred_attacker VAR_V_221)) (tptp.pred_attacker (tptp.constr_checksign VAR_V_220X30 VAR_V_221)))))
% 0.47/0.65 (assume a155 (forall ((VAR_V_224 $$unsorted) (VAR_V_225 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_224) (tptp.pred_attacker VAR_V_225)) (tptp.pred_attacker (tptp.constr_aenc VAR_V_224 VAR_V_225)))))
% 0.47/0.65 (assume a156 (forall ((VAR_V_228 $$unsorted) (VAR_V_229 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_228) (tptp.pred_attacker VAR_V_229)) (tptp.pred_attacker (tptp.constr_adec VAR_V_228 VAR_V_229)))))
% 0.47/0.65 (assume a157 (tptp.pred_attacker tptp.constr_ZERO))
% 0.47/0.65 (assume a158 (tptp.pred_attacker tptp.constr_CONST_4))
% 0.47/0.65 (assume a159 (tptp.pred_attacker tptp.constr_CONST_3))
% 0.47/0.65 (assume a160 (tptp.pred_attacker tptp.constr_CONST_2))
% 0.47/0.65 (assume a161 (tptp.pred_attacker tptp.constr_CONST_1))
% 0.47/0.65 (assume a162 (tptp.pred_attacker tptp.constr_CONST_0x30))
% 0.47/0.65 (assume a163 (forall ((VAR_V_236 $$unsorted) (VAR_V_237 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_236) (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_2 VAR_V_236 VAR_V_237)))))
% 0.47/0.65 (assume a164 (forall ((VAR_V_244 $$unsorted) (VAR_V_245 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_2 VAR_V_244 VAR_V_245)) (tptp.pred_attacker VAR_V_244))))
% 0.47/0.65 (assume a165 (forall ((VAR_V_247 $$unsorted) (VAR_V_248 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_2 VAR_V_247 VAR_V_248)) (tptp.pred_attacker VAR_V_248))))
% 0.47/0.65 (assume a166 (forall ((VAR_V_250X30 $$unsorted) (VAR_V_251 $$unsorted)) (=> (and (tptp.pred_mess VAR_V_251 VAR_V_250X30) (tptp.pred_attacker VAR_V_251)) (tptp.pred_attacker VAR_V_250X30))))
% 0.47/0.65 (assume a167 (forall ((VAR_V_252 $$unsorted) (VAR_V_253 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_253) (tptp.pred_attacker VAR_V_252)) (tptp.pred_mess VAR_V_253 VAR_V_252))))
% 0.47/0.65 (assume a168 (tptp.pred_attacker tptp.name_c))
% 0.47/0.65 (assume a169 (tptp.pred_attacker tptp.name_I))
% 0.47/0.65 (assume a170 (tptp.pred_attacker tptp.name_B))
% 0.47/0.65 (assume a171 (tptp.pred_attacker tptp.name_A))
% 0.47/0.65 (assume a172 (forall ((VAR_V_255 $$unsorted)) (tptp.pred_equal VAR_V_255 VAR_V_255)))
% 0.47/0.65 (assume a173 (forall ((VAR_V_256 $$unsorted)) (tptp.pred_attacker (tptp.name_new0x2Dname VAR_V_256))))
% 0.47/0.65 (assume a174 (tptp.pred_table (tptp.tuple_keys tptp.name_A (tptp.constr_pkey tptp.name_skA))))
% 0.47/0.65 (assume a175 (tptp.pred_table (tptp.tuple_keys tptp.name_B (tptp.constr_pkey tptp.name_skB))))
% 0.47/0.65 (assume a176 (tptp.pred_attacker (tptp.tuple_out_1 (tptp.constr_pkey tptp.name_skA))))
% 0.47/0.65 (assume a177 (tptp.pred_attacker (tptp.tuple_out_2 (tptp.constr_pkey tptp.name_skB))))
% 0.47/0.65 (assume a178 (tptp.pred_attacker (tptp.tuple_out_3 (tptp.constr_pkey tptp.name_skS))))
% 0.47/0.65 (assume a179 (tptp.pred_attacker (tptp.tuple_client_A_out_1 tptp.name_A tptp.name_I)))
% 0.47/0.65 (assume a180 (forall ((VAR_0X40SID_376 $$unsorted) (VAR_SIGN_I_PKI_375 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_I_PKI_375 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_SIGN_I_PKI_375))) (tptp.pred_attacker (tptp.tuple_client_A_out_3 (tptp.constr_aenc (tptp.tuple_2 (tptp.name_Na VAR_0X40SID_376) tptp.name_A) (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_I_PKI_375 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.47/0.65 (assume a181 (forall ((VAR_0X40SID_435 $$unsorted) (VAR_AENC_NA_XOR_I_NI_434 $$unsorted) (VAR_SIGN_I_PKI_436 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_xor (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_adec VAR_AENC_NA_XOR_I_NI_434 tptp.name_skA)) (tptp.name_Na VAR_0X40SID_435))) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_AENC_NA_XOR_I_NI_434)) (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_I_PKI_436 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_SIGN_I_PKI_436))) (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_XOR_I_NI_434 tptp.name_skA)) (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_I_PKI_436 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.47/0.65 (assume a182 (tptp.pred_attacker (tptp.tuple_client_B_out_1 tptp.name_B tptp.name_A)))
% 0.47/0.65 (assume a183 (forall ((VAR_0X40SID_553 $$unsorted) (VAR_AENC_NA_A_551 $$unsorted) (VAR_SIGN_A_PKA_552 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_551 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_551)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_552 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_552))) (tptp.pred_attacker (tptp.tuple_client_B_out_4 (tptp.constr_aenc (tptp.tuple_2 (tptp.constr_xor (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_adec VAR_AENC_NA_A_551 tptp.name_skB)) tptp.name_B) (tptp.name_Nb VAR_0X40SID_553)) (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_A_PKA_552 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.47/0.65 (assume a184 (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NA_A_579 $$unsorted) (VAR_AENC_NB_578 $$unsorted) (VAR_SIGN_A_PKA_580X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))))
% 0.47/0.65 (assume a185 (forall ((VAR_DST_619 $$unsorted) (VAR_PKDST_620X30 $$unsorted) (VAR_SRC_621 $$unsorted)) (=> (and (tptp.pred_table (tptp.tuple_keys VAR_DST_619 VAR_PKDST_620X30)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_SRC_621 VAR_DST_619))) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 (tptp.constr_sign (tptp.tuple_2 VAR_DST_619 VAR_PKDST_620X30) tptp.name_skS))))))
% 0.47/0.65 (assume a186 (forall ((VAR_HOST_673 $$unsorted) (VAR_PK_674 $$unsorted)) (=> (and (not (= VAR_HOST_673 tptp.name_B)) (not (= VAR_HOST_673 tptp.name_A)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_HOST_673 VAR_PK_674))) (tptp.pred_table (tptp.tuple_keys VAR_HOST_673 VAR_PK_674)))))
% 0.47/0.65 (assume a187 (not (tptp.pred_attacker tptp.name_objective)))
% 0.47/0.65 (assume a188 true)
% 0.47/0.65 (step t1 (cl (=> (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136)))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t2)
% 0.47/0.65 (assume t2.a0 (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))))
% 0.47/0.65 (step t2.t1 (cl (or (not (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136)))) (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_136 tptp.name_objective)))
% 0.47/0.65 (step t2.t2 (cl (not (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule or :premises (t2.t1))
% 0.47/0.65 (step t2.t3 (cl (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule resolution :premises (t2.t2 t2.a0))
% 0.47/0.65 (step t2 (cl (not (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136)))) (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))
% 0.47/0.65 (step t3 (cl (=> (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule resolution :premises (t1 t2))
% 0.47/0.65 (step t4 (cl (=> (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))) (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)
% 0.47/0.65 (step t5 (cl (=> (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (=> (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))) (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))
% 0.47/0.65 (step t6 (cl (=> (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule contraction :premises (t5))
% 0.47/0.65 (step t7 (cl (not (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule implies :premises (t6))
% 0.47/0.65 (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)
% 0.47/0.65 (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))
% 0.47/0.65 (step t10 (cl (not (= (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NA_A_579 $$unsorted) (VAR_AENC_NB_578 $$unsorted) (VAR_SIGN_A_PKA_580X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))) (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_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))))) (not (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NA_A_579 $$unsorted) (VAR_AENC_NB_578 $$unsorted) (VAR_SIGN_A_PKA_580X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))) (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_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))))) :rule equiv_pos2)
% 0.47/0.65 (step t11 (cl (= (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NA_A_579 $$unsorted) (VAR_AENC_NB_578 $$unsorted) (VAR_SIGN_A_PKA_580X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NA_A_579 $$unsorted) (VAR_AENC_NB_578 $$unsorted) (VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))))) :rule all_simplify)
% 0.47/0.65 (step t12 (cl (= (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NA_A_579 $$unsorted) (VAR_AENC_NB_578 $$unsorted) (VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))) (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_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))))) :rule all_simplify)
% 0.47/0.65 (step t13 (cl (= (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NA_A_579 $$unsorted) (VAR_AENC_NB_578 $$unsorted) (VAR_SIGN_A_PKA_580X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))) (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_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))))) :rule trans :premises (t11 t12))
% 0.47/0.65 (step t14 (cl (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))))) :rule resolution :premises (t10 t13 a184))
% 0.47/0.65 (step t15 (cl (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))) :rule or :premises (t14))
% 0.47/0.65 (step t16 (cl (=> (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (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_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)))))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t17)
% 0.47/0.65 (assume t17.a0 (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))))
% 0.47/0.65 (step t17.t1 (cl (or (not (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)))))) (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_577 tptp.constr_CONST_0x30) (:= VAR_AENC_NB_578 tptp.constr_CONST_1)))
% 0.47/0.65 (step t17.t2 (cl (not (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)))))) (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))
% 0.47/0.65 (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))
% 0.47/0.65 (step t17 (cl (not (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)))))) (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))
% 0.47/0.65 (step t18 (cl (=> (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (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))
% 0.47/0.65 (step t19 (cl (=> (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (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)
% 0.47/0.65 (step t20 (cl (=> (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (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_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (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))
% 0.47/0.65 (step t21 (cl (=> (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))) (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))
% 0.47/0.65 (step t22 (cl (not (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578)))))) (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))
% 0.47/0.65 (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)
% 0.47/0.65 (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))
% 0.47/0.65 (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)
% 0.47/0.65 (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))
% 0.47/0.65 (step t27 (cl (=> (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161))))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t28)
% 0.47/0.65 (assume t28.a0 (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))))
% 0.47/0.65 (step t28.t1 (cl (or (not (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161))))) (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_161 tptp.constr_CONST_1)))
% 0.47/0.65 (step t28.t2 (cl (not (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule or :premises (t28.t1))
% 0.47/0.65 (step t28.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule resolution :premises (t28.t2 t28.a0))
% 0.47/0.65 (step t28 (cl (not (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161))))) (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))
% 0.47/0.65 (step t29 (cl (=> (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule resolution :premises (t27 t28))
% 0.47/0.65 (step t30 (cl (=> (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))) (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)
% 0.47/0.65 (step t31 (cl (=> (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))) (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))
% 0.47/0.65 (step t32 (cl (=> (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule contraction :premises (t31))
% 0.47/0.65 (step t33 (cl (not (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161))))) (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))
% 0.47/0.65 (step t34 (cl (not (= (forall ((VAR_V_161 $$unsorted)) (=> (tptp.pred_attacker VAR_V_161) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))) (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))))) (not (forall ((VAR_V_161 $$unsorted)) (=> (tptp.pred_attacker VAR_V_161) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161))))) (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161))))) :rule equiv_pos2)
% 0.47/0.65 (step t35 (cl (= (forall ((VAR_V_161 $$unsorted)) (=> (tptp.pred_attacker VAR_V_161) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))) (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161)))))) :rule all_simplify)
% 0.47/0.65 (step t36 (cl (forall ((VAR_V_161 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_161)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_161))))) :rule resolution :premises (t34 t35 a137))
% 0.47/0.65 (step t37 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule resolution :premises (t33 t36))
% 0.47/0.65 (step t38 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))) :rule resolution :premises (t26 a161 t37))
% 0.47/0.65 (step t39 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t40)
% 0.47/0.65 (assume t40.a0 (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)))
% 0.47/0.65 (step t40.t1 (cl (or (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule forall_inst :args ((:= VAR_X_41 (tptp.name_Nb tptp.constr_CONST_0x30)) (:= VAR_Y_42 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))))
% 0.47/0.65 (step t40.t2 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule or :premises (t40.t1))
% 0.47/0.65 (step t40.t3 (cl (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t40.t2 t40.a0))
% 0.47/0.65 (step t40 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule subproof :discharge (t40.a0))
% 0.47/0.65 (step t41 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t39 t40))
% 0.47/0.65 (step t42 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule implies_neg2)
% 0.47/0.65 (step t43 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t41 t42))
% 0.47/0.65 (step t44 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) :rule contraction :premises (t43))
% 0.47/0.65 (step t45 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule implies :premises (t44))
% 0.47/0.65 (step t46 (cl (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t45 a103))
% 0.47/0.65 (step t47 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule resolution :premises (t24 t38 t46))
% 0.47/0.65 (step t48 (cl (not (forall ((VAR_0X40SID_577 $$unsorted) (VAR_AENC_NB_578 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_577) (tptp.constr_adec VAR_AENC_NB_578 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_AENC_NB_578))))))) :rule resolution :premises (t22 t47))
% 0.47/0.65 (step t49 (cl (=> (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (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_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)))))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t50)
% 0.47/0.65 (assume t50.a0 (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))))
% 0.47/0.65 (step t50.t1 (cl (or (not (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule forall_inst :args ((:= VAR_AENC_NA_A_579 tptp.constr_CONST_1)))
% 0.47/0.65 (step t50.t2 (cl (not (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)))))) (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))
% 0.47/0.65 (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))
% 0.47/0.65 (step t50 (cl (not (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule subproof :discharge (t50.a0))
% 0.47/0.65 (step t51 (cl (=> (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (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))
% 0.47/0.65 (step t52 (cl (=> (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule implies_neg2)
% 0.47/0.65 (step t53 (cl (=> (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (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_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule resolution :premises (t51 t52))
% 0.47/0.65 (step t54 (cl (=> (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))) (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))
% 0.47/0.65 (step t55 (cl (not (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579)))))) (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))
% 0.47/0.65 (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)
% 0.47/0.65 (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))
% 0.47/0.65 (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)
% 0.47/0.65 (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))
% 0.47/0.65 (step t60 (cl (=> (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))) (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_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167))))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t61)
% 0.47/0.65 (assume t61.a0 (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))))
% 0.47/0.65 (step t61.t1 (cl (or (not (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_167 tptp.constr_CONST_1)))
% 0.47/0.65 (step t61.t2 (cl (not (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167))))) (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))
% 0.47/0.65 (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))
% 0.47/0.65 (step t61 (cl (not (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule subproof :discharge (t61.a0))
% 0.47/0.65 (step t62 (cl (=> (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))) (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))
% 0.47/0.65 (step t63 (cl (=> (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.47/0.65 (step t64 (cl (=> (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))) (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_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule resolution :premises (t62 t63))
% 0.47/0.65 (step t65 (cl (=> (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))) (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))
% 0.47/0.65 (step t66 (cl (not (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule implies :premises (t65))
% 0.47/0.65 (step t67 (cl (not (= (forall ((VAR_V_167 $$unsorted)) (=> (tptp.pred_attacker VAR_V_167) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))) (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))))) (not (forall ((VAR_V_167 $$unsorted)) (=> (tptp.pred_attacker VAR_V_167) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167))))) (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167))))) :rule equiv_pos2)
% 0.47/0.65 (step t68 (cl (= (forall ((VAR_V_167 $$unsorted)) (=> (tptp.pred_attacker VAR_V_167) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))) (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167)))))) :rule all_simplify)
% 0.47/0.65 (step t69 (cl (forall ((VAR_V_167 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_167)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_167))))) :rule resolution :premises (t67 t68 a139))
% 0.47/0.65 (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))
% 0.47/0.65 (step t71 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))) :rule resolution :premises (t59 a161 t70))
% 0.47/0.65 (step t72 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t73)
% 0.47/0.65 (assume t73.a0 (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)))
% 0.47/0.65 (step t73.t1 (cl (or (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (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_41 tptp.name_A) (:= VAR_Y_42 (tptp.constr_tuple_2_get_1 (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)))))
% 0.47/0.65 (step t73.t2 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (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))
% 0.47/0.65 (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))
% 0.47/0.65 (step t73 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (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))
% 0.47/0.65 (step t74 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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))
% 0.47/0.65 (step t75 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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)
% 0.47/0.65 (step t76 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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))
% 0.47/0.65 (step t77 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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))
% 0.47/0.65 (step t78 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (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))
% 0.47/0.65 (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 a103))
% 0.47/0.65 (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))
% 0.47/0.65 (step t81 (cl (not (forall ((VAR_AENC_NA_A_579 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec VAR_AENC_NA_A_579 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_AENC_NA_A_579))))))) :rule resolution :premises (t55 t80))
% 0.47/0.65 (step t82 (cl (=> (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))) (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_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t83)
% 0.47/0.65 (assume t83.a0 (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))))
% 0.47/0.65 (step t83.t1 (cl (or (not (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule forall_inst :args ((:= VAR_SIGN_A_PKA_580X30 tptp.constr_CONST_1)))
% 0.47/0.65 (step t83.t2 (cl (not (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))) (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))
% 0.47/0.65 (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))
% 0.47/0.65 (step t83 (cl (not (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule subproof :discharge (t83.a0))
% 0.47/0.65 (step t84 (cl (=> (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))) (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))
% 0.47/0.65 (step t85 (cl (=> (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule implies_neg2)
% 0.47/0.65 (step t86 (cl (=> (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))) (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_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule resolution :premises (t84 t85))
% 0.47/0.65 (step t87 (cl (=> (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))) (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))
% 0.47/0.65 (step t88 (cl (not (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30)))))) (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))
% 0.47/0.65 (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)
% 0.47/0.65 (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))
% 0.47/0.65 (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)
% 0.47/0.65 (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))
% 0.47/0.65 (step t93 (cl (=> (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))) (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_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173))))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t94)
% 0.47/0.65 (assume t94.a0 (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))))
% 0.47/0.65 (step t94.t1 (cl (or (not (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_173 tptp.constr_CONST_1)))
% 0.47/0.65 (step t94.t2 (cl (not (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173))))) (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))
% 0.47/0.65 (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))
% 0.47/0.65 (step t94 (cl (not (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule subproof :discharge (t94.a0))
% 0.47/0.65 (step t95 (cl (=> (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))) (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))
% 0.47/0.65 (step t96 (cl (=> (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.47/0.65 (step t97 (cl (=> (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))) (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_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t95 t96))
% 0.47/0.65 (step t98 (cl (=> (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))) (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))
% 0.47/0.65 (step t99 (cl (not (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule implies :premises (t98))
% 0.47/0.65 (step t100 (cl (not (= (forall ((VAR_V_173 $$unsorted)) (=> (tptp.pred_attacker VAR_V_173) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))) (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))))) (not (forall ((VAR_V_173 $$unsorted)) (=> (tptp.pred_attacker VAR_V_173) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173))))) (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173))))) :rule equiv_pos2)
% 0.47/0.65 (step t101 (cl (= (forall ((VAR_V_173 $$unsorted)) (=> (tptp.pred_attacker VAR_V_173) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))) (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173)))))) :rule all_simplify)
% 0.47/0.65 (step t102 (cl (forall ((VAR_V_173 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_173)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_173))))) :rule resolution :premises (t100 t101 a141))
% 0.47/0.65 (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))
% 0.47/0.65 (step t104 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))) :rule resolution :premises (t92 a161 t103))
% 0.47/0.65 (step t105 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) :rule implies_neg1)
% 0.47/0.65 (anchor :step t106)
% 0.47/0.65 (assume t106.a0 (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)))
% 0.47/0.65 (step t106.t1 (cl (or (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (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_41 tptp.name_A) (:= VAR_Y_42 (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))))
% 0.47/0.65 (step t106.t2 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (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))
% 0.47/0.65 (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))
% 0.47/0.65 (step t106 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (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))
% 0.47/0.65 (step t107 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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))
% 0.47/0.65 (step t108 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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)
% 0.47/0.65 (step t109 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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))
% 0.47/0.65 (step t110 (cl (=> (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42)) (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))
% 0.47/0.65 (step t111 (cl (not (forall ((VAR_X_41 $$unsorted) (VAR_Y_42 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_41 VAR_Y_42))) (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))
% 0.47/0.65 (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 a103))
% 0.47/0.66 (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))
% 0.47/0.66 (step t114 (cl (not (forall ((VAR_SIGN_A_PKA_580X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_580X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_580X30))))))) :rule resolution :premises (t88 t113))
% 0.47/0.66 (step t115 (cl (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) :rule resolution :premises (t15 t48 t81 t114))
% 0.47/0.66 (step t116 (cl (not (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule resolution :premises (t9 a187 t115))
% 0.47/0.66 (step t117 (cl (not (= (forall ((VAR_V_136 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136)) (tptp.pred_attacker VAR_V_136))) (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))))) (not (forall ((VAR_V_136 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136)) (tptp.pred_attacker VAR_V_136)))) (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136)))) :rule equiv_pos2)
% 0.47/0.66 (step t118 (cl (= (forall ((VAR_V_136 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136)) (tptp.pred_attacker VAR_V_136))) (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136))))) :rule all_simplify)
% 0.47/0.66 (step t119 (cl (forall ((VAR_V_136 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_136))) (tptp.pred_attacker VAR_V_136)))) :rule resolution :premises (t117 t118 a131))
% 0.47/0.66 (step t120 (cl) :rule resolution :premises (t7 t116 t119))
% 0.47/0.66
% 0.47/0.66 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.FCaYNT1S9v/cvc5---1.0.5_7998.smt2
% 0.47/0.66 % cvc5---1.0.5 exiting
% 0.47/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------