TSTP Solution File: SWW963+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW963+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n017.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 0.59s 0.80s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SWW963+1 : TPTP v8.2.0. Released v7.4.0.
% 0.08/0.16 % Command : do_cvc5 %s %d
% 0.16/0.38 % Computer : n017.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun May 26 04:22:24 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.23/0.56 %----Proving TF0_NAR, FOF, or CNF
% 0.59/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.59/0.80 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.HMELlcD9Bh/cvc5---1.0.5_15468.smt2
% 0.59/0.80 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.HMELlcD9Bh/cvc5---1.0.5_15468.smt2
% 0.59/0.80 (assume a0 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_1)))
% 0.59/0.80 (assume a1 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_2)))
% 0.59/0.80 (assume a2 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_3)))
% 0.59/0.80 (assume a3 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_4)))
% 0.59/0.80 (assume a4 (not (= tptp.constr_CONST_0x30 tptp.name_A)))
% 0.59/0.80 (assume a5 (not (= tptp.constr_CONST_0x30 tptp.name_B)))
% 0.59/0.80 (assume a6 (not (= tptp.constr_CONST_0x30 tptp.name_I)))
% 0.59/0.80 (assume a7 (not (= tptp.constr_CONST_0x30 tptp.name_c)))
% 0.59/0.80 (assume a8 (not (= tptp.constr_CONST_0x30 tptp.name_objective)))
% 0.59/0.80 (assume a9 (not (= tptp.constr_CONST_0x30 tptp.name_skA)))
% 0.59/0.80 (assume a10 (not (= tptp.constr_CONST_0x30 tptp.name_skB)))
% 0.59/0.80 (assume a11 (not (= tptp.constr_CONST_0x30 tptp.name_skS)))
% 0.59/0.80 (assume a12 (not (= tptp.constr_CONST_1 tptp.constr_CONST_2)))
% 0.59/0.80 (assume a13 (not (= tptp.constr_CONST_1 tptp.constr_CONST_3)))
% 0.59/0.80 (assume a14 (not (= tptp.constr_CONST_1 tptp.constr_CONST_4)))
% 0.59/0.80 (assume a15 (not (= tptp.constr_CONST_1 tptp.name_A)))
% 0.59/0.80 (assume a16 (not (= tptp.constr_CONST_1 tptp.name_B)))
% 0.59/0.80 (assume a17 (not (= tptp.constr_CONST_1 tptp.name_I)))
% 0.59/0.80 (assume a18 (not (= tptp.constr_CONST_1 tptp.name_c)))
% 0.59/0.80 (assume a19 (not (= tptp.constr_CONST_1 tptp.name_objective)))
% 0.59/0.80 (assume a20 (not (= tptp.constr_CONST_1 tptp.name_skA)))
% 0.59/0.80 (assume a21 (not (= tptp.constr_CONST_1 tptp.name_skB)))
% 0.59/0.80 (assume a22 (not (= tptp.constr_CONST_1 tptp.name_skS)))
% 0.59/0.80 (assume a23 (not (= tptp.constr_CONST_2 tptp.constr_CONST_3)))
% 0.59/0.80 (assume a24 (not (= tptp.constr_CONST_2 tptp.constr_CONST_4)))
% 0.59/0.80 (assume a25 (not (= tptp.constr_CONST_2 tptp.name_A)))
% 0.59/0.80 (assume a26 (not (= tptp.constr_CONST_2 tptp.name_B)))
% 0.59/0.80 (assume a27 (not (= tptp.constr_CONST_2 tptp.name_I)))
% 0.59/0.80 (assume a28 (not (= tptp.constr_CONST_2 tptp.name_c)))
% 0.59/0.80 (assume a29 (not (= tptp.constr_CONST_2 tptp.name_objective)))
% 0.59/0.80 (assume a30 (not (= tptp.constr_CONST_2 tptp.name_skA)))
% 0.59/0.80 (assume a31 (not (= tptp.constr_CONST_2 tptp.name_skB)))
% 0.59/0.80 (assume a32 (not (= tptp.constr_CONST_2 tptp.name_skS)))
% 0.59/0.80 (assume a33 (not (= tptp.constr_CONST_3 tptp.constr_CONST_4)))
% 0.59/0.80 (assume a34 (not (= tptp.constr_CONST_3 tptp.name_A)))
% 0.59/0.80 (assume a35 (not (= tptp.constr_CONST_3 tptp.name_B)))
% 0.59/0.80 (assume a36 (not (= tptp.constr_CONST_3 tptp.name_I)))
% 0.59/0.80 (assume a37 (not (= tptp.constr_CONST_3 tptp.name_c)))
% 0.59/0.80 (assume a38 (not (= tptp.constr_CONST_3 tptp.name_objective)))
% 0.59/0.80 (assume a39 (not (= tptp.constr_CONST_3 tptp.name_skA)))
% 0.59/0.80 (assume a40 (not (= tptp.constr_CONST_3 tptp.name_skB)))
% 0.59/0.80 (assume a41 (not (= tptp.constr_CONST_3 tptp.name_skS)))
% 0.59/0.80 (assume a42 (not (= tptp.constr_CONST_4 tptp.name_A)))
% 0.59/0.80 (assume a43 (not (= tptp.constr_CONST_4 tptp.name_B)))
% 0.59/0.80 (assume a44 (not (= tptp.constr_CONST_4 tptp.name_I)))
% 0.59/0.80 (assume a45 (not (= tptp.constr_CONST_4 tptp.name_c)))
% 0.59/0.80 (assume a46 (not (= tptp.constr_CONST_4 tptp.name_objective)))
% 0.59/0.80 (assume a47 (not (= tptp.constr_CONST_4 tptp.name_skA)))
% 0.59/0.80 (assume a48 (not (= tptp.constr_CONST_4 tptp.name_skB)))
% 0.59/0.80 (assume a49 (not (= tptp.constr_CONST_4 tptp.name_skS)))
% 0.59/0.80 (assume a50 (not (= tptp.name_A tptp.name_B)))
% 0.59/0.80 (assume a51 (not (= tptp.name_A tptp.name_I)))
% 0.59/0.80 (assume a52 (not (= tptp.name_A tptp.name_c)))
% 0.59/0.80 (assume a53 (not (= tptp.name_A tptp.name_objective)))
% 0.59/0.80 (assume a54 (not (= tptp.name_A tptp.name_skA)))
% 0.59/0.80 (assume a55 (not (= tptp.name_A tptp.name_skB)))
% 0.59/0.80 (assume a56 (not (= tptp.name_A tptp.name_skS)))
% 0.59/0.80 (assume a57 (not (= tptp.name_B tptp.name_I)))
% 0.59/0.80 (assume a58 (not (= tptp.name_B tptp.name_c)))
% 0.59/0.80 (assume a59 (not (= tptp.name_B tptp.name_objective)))
% 0.59/0.80 (assume a60 (not (= tptp.name_B tptp.name_skA)))
% 0.59/0.80 (assume a61 (not (= tptp.name_B tptp.name_skB)))
% 0.59/0.80 (assume a62 (not (= tptp.name_B tptp.name_skS)))
% 0.59/0.80 (assume a63 (not (= tptp.name_I tptp.name_c)))
% 0.59/0.80 (assume a64 (not (= tptp.name_I tptp.name_objective)))
% 0.59/0.80 (assume a65 (not (= tptp.name_I tptp.name_skA)))
% 0.59/0.80 (assume a66 (not (= tptp.name_I tptp.name_skB)))
% 0.59/0.80 (assume a67 (not (= tptp.name_I tptp.name_skS)))
% 0.59/0.80 (assume a68 (not (= tptp.name_c tptp.name_objective)))
% 0.59/0.80 (assume a69 (not (= tptp.name_c tptp.name_skA)))
% 0.59/0.80 (assume a70 (not (= tptp.name_c tptp.name_skB)))
% 0.59/0.80 (assume a71 (not (= tptp.name_c tptp.name_skS)))
% 0.59/0.80 (assume a72 (not (= tptp.name_objective tptp.name_skA)))
% 0.59/0.80 (assume a73 (not (= tptp.name_objective tptp.name_skB)))
% 0.59/0.80 (assume a74 (not (= tptp.name_objective tptp.name_skS)))
% 0.59/0.80 (assume a75 (not (= tptp.name_skA tptp.name_skB)))
% 0.59/0.80 (assume a76 (not (= tptp.name_skA tptp.name_skS)))
% 0.59/0.80 (assume a77 (not (= tptp.name_skB tptp.name_skS)))
% 0.59/0.80 (assume a78 (forall ((VAR_K_48 $$unsorted) (VAR_M_47 $$unsorted)) (= (tptp.constr_dec (tptp.constr_enc VAR_M_47 VAR_K_48) VAR_K_48) VAR_M_47)))
% 0.59/0.80 (assume a79 (forall ((VAR_K_46 $$unsorted) (VAR_M_45 $$unsorted)) (= (tptp.constr_getmess (tptp.constr_sign VAR_M_45 VAR_K_46)) VAR_M_45)))
% 0.59/0.80 (assume a80 (forall ((VAR_K_44 $$unsorted) (VAR_M_0X30 $$unsorted)) (= (tptp.constr_checksign (tptp.constr_sign VAR_M_0X30 VAR_K_44) (tptp.constr_pkey VAR_K_44)) VAR_M_0X30)))
% 0.59/0.80 (assume a81 (forall ((VAR_K_43 $$unsorted) (VAR_X1_39 $$unsorted) (VAR_X2_40X30 $$unsorted) (VAR_X3_41 $$unsorted) (VAR_X4_42 $$unsorted)) (= (tptp.constr_ecb_dec_4 (tptp.constr_ecb_enc_4 VAR_X1_39 VAR_X2_40X30 VAR_X3_41 VAR_X4_42 (tptp.constr_pkey VAR_K_43)) VAR_K_43) (tptp.tuple_4 VAR_X1_39 VAR_X2_40X30 VAR_X3_41 VAR_X4_42))))
% 0.59/0.80 (assume a82 (forall ((VAR_K_38 $$unsorted) (VAR_X1_35 $$unsorted) (VAR_X2_36 $$unsorted) (VAR_X3_37 $$unsorted)) (= (tptp.constr_ecb_dec_3 (tptp.constr_ecb_enc_3 VAR_X1_35 VAR_X2_36 VAR_X3_37 (tptp.constr_pkey VAR_K_38)) VAR_K_38) (tptp.tuple_3 VAR_X1_35 VAR_X2_36 VAR_X3_37))))
% 0.59/0.80 (assume a83 (forall ((VAR_K_34 $$unsorted) (VAR_X1_32 $$unsorted) (VAR_X2_33 $$unsorted)) (= (tptp.constr_ecb_dec_2 (tptp.constr_ecb_enc_2 VAR_X1_32 VAR_X2_33 (tptp.constr_pkey VAR_K_34)) VAR_K_34) (tptp.tuple_2 VAR_X1_32 VAR_X2_33))))
% 0.59/0.80 (assume a84 (forall ((VAR_K_31 $$unsorted) (VAR_X1_30X30 $$unsorted)) (= (tptp.constr_ecb_dec_1 (tptp.constr_ecb_enc_1 VAR_X1_30X30 (tptp.constr_pkey VAR_K_31)) VAR_K_31) VAR_X1_30X30)))
% 0.59/0.80 (assume a85 (forall ((VAR_K_29 $$unsorted) (VAR_X1_26 $$unsorted) (VAR_X2_27 $$unsorted) (VAR_X3_28 $$unsorted) (VAR_X4_0X30 $$unsorted)) (= (tptp.constr_ecb_enc_4 VAR_X1_26 VAR_X2_27 VAR_X3_28 VAR_X4_0X30 VAR_K_29) (tptp.tuple_4 (tptp.constr_ecb_enc_1 VAR_X1_26 VAR_K_29) (tptp.constr_ecb_enc_1 VAR_X2_27 VAR_K_29) (tptp.constr_ecb_enc_1 VAR_X3_28 VAR_K_29) (tptp.constr_ecb_enc_1 VAR_X4_0X30 VAR_K_29)))))
% 0.59/0.80 (assume a86 (forall ((VAR_K_25 $$unsorted) (VAR_X1_23 $$unsorted) (VAR_X2_24 $$unsorted) (VAR_X3_0X30 $$unsorted)) (= (tptp.constr_ecb_enc_3 VAR_X1_23 VAR_X2_24 VAR_X3_0X30 VAR_K_25) (tptp.tuple_3 (tptp.constr_ecb_enc_1 VAR_X1_23 VAR_K_25) (tptp.constr_ecb_enc_1 VAR_X2_24 VAR_K_25) (tptp.constr_ecb_enc_1 VAR_X3_0X30 VAR_K_25)))))
% 0.59/0.80 (assume a87 (forall ((VAR_K_0X30 $$unsorted) (VAR_X1_21 $$unsorted) (VAR_X2_22 $$unsorted)) (= (tptp.constr_ecb_enc_2 VAR_X1_21 VAR_X2_22 VAR_K_0X30) (tptp.tuple_2 (tptp.constr_ecb_enc_1 VAR_X1_21 VAR_K_0X30) (tptp.constr_ecb_enc_1 VAR_X2_22 VAR_K_0X30)))))
% 0.59/0.80 (assume a88 (forall ((VAR_X0X30_18 $$unsorted) (VAR_X1_19 $$unsorted) (VAR_X2_20X30 $$unsorted)) (= (tptp.constr_tuple_3_get_1_bitstring (tptp.tuple_3 VAR_X0X30_18 VAR_X1_19 VAR_X2_20X30)) VAR_X1_19)))
% 0.59/0.80 (assume a89 (forall ((VAR_X0X30_16 $$unsorted) (VAR_X1_17 $$unsorted)) (= (tptp.constr_tuple_2_get_1_bitstring (tptp.tuple_2 VAR_X0X30_16 VAR_X1_17)) VAR_X1_17)))
% 0.59/0.80 (assume a90 (forall ((VAR_X0X30_14 $$unsorted) (VAR_X1_15 $$unsorted)) (= (tptp.constr_tuple_2_get_0x30_bitstring (tptp.tuple_2 VAR_X0X30_14 VAR_X1_15)) VAR_X0X30_14)))
% 0.59/0.80 (assume a91 (forall ((VAR_X0X30_11 $$unsorted) (VAR_X1_12 $$unsorted) (VAR_X2_13 $$unsorted)) (= (tptp.constr_tuple_3_get_2 (tptp.tuple_3 VAR_X0X30_11 VAR_X1_12 VAR_X2_13)) VAR_X2_13)))
% 0.59/0.80 (assume a92 (forall ((VAR_X0X30_9 $$unsorted) (VAR_X1_10X30 $$unsorted) (VAR_X2_0X30 $$unsorted)) (= (tptp.constr_tuple_3_get_0x30 (tptp.tuple_3 VAR_X0X30_9 VAR_X1_10X30 VAR_X2_0X30)) VAR_X0X30_9)))
% 0.59/0.80 (assume a93 (forall ((VAR_X0X30_7 $$unsorted) (VAR_X1_8 $$unsorted)) (= (tptp.constr_tuple_2_get_1 (tptp.tuple_2 VAR_X0X30_7 VAR_X1_8)) VAR_X1_8)))
% 0.59/0.80 (assume a94 (forall ((VAR_X0X30_0X30 $$unsorted) (VAR_X1_0X30 $$unsorted)) (= (tptp.constr_tuple_2_get_0x30 (tptp.tuple_2 VAR_X0X30_0X30 VAR_X1_0X30)) VAR_X0X30_0X30)))
% 0.59/0.80 (assume a95 (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)))
% 0.59/0.80 (assume a96 (forall ((VAR_V_72 $$unsorted)) (=> (tptp.pred_attacker VAR_V_72) (tptp.pred_attacker (tptp.constr_tuple_3_get_2 VAR_V_72)))))
% 0.59/0.80 (assume a97 (forall ((VAR_V_74 $$unsorted)) (=> (tptp.pred_attacker VAR_V_74) (tptp.pred_attacker (tptp.constr_tuple_3_get_1_bitstring VAR_V_74)))))
% 0.59/0.80 (assume a98 (forall ((VAR_V_76 $$unsorted)) (=> (tptp.pred_attacker VAR_V_76) (tptp.pred_attacker (tptp.constr_tuple_3_get_0x30 VAR_V_76)))))
% 0.59/0.80 (assume a99 (forall ((VAR_V_78 $$unsorted)) (=> (tptp.pred_attacker VAR_V_78) (tptp.pred_attacker (tptp.constr_tuple_2_get_1_bitstring VAR_V_78)))))
% 0.59/0.80 (assume a100 (forall ((VAR_V_80X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_80X30) (tptp.pred_attacker (tptp.constr_tuple_2_get_1 VAR_V_80X30)))))
% 0.59/0.80 (assume a101 (forall ((VAR_V_82 $$unsorted)) (=> (tptp.pred_attacker VAR_V_82) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30_bitstring VAR_V_82)))))
% 0.59/0.80 (assume a102 (forall ((VAR_V_84 $$unsorted)) (=> (tptp.pred_attacker VAR_V_84) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30 VAR_V_84)))))
% 0.59/0.80 (assume a103 (tptp.pred_attacker tptp.tuple_true))
% 0.59/0.80 (assume a104 (forall ((VAR_V_87 $$unsorted) (VAR_V_88 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_87) (tptp.pred_attacker VAR_V_88)) (tptp.pred_attacker (tptp.constr_sign VAR_V_87 VAR_V_88)))))
% 0.59/0.80 (assume a105 (forall ((VAR_V_90X30 $$unsorted)) (=> (tptp.pred_attacker VAR_V_90X30) (tptp.pred_attacker (tptp.constr_pkey VAR_V_90X30)))))
% 0.59/0.80 (assume a106 (forall ((VAR_V_92 $$unsorted)) (=> (tptp.pred_attacker VAR_V_92) (tptp.pred_attacker (tptp.tuple_out_3 VAR_V_92)))))
% 0.59/0.80 (assume a107 (forall ((VAR_V_95 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_3 VAR_V_95)) (tptp.pred_attacker VAR_V_95))))
% 0.59/0.80 (assume a108 (forall ((VAR_V_98 $$unsorted)) (=> (tptp.pred_attacker VAR_V_98) (tptp.pred_attacker (tptp.tuple_out_2 VAR_V_98)))))
% 0.59/0.80 (assume a109 (forall ((VAR_V_10X301 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_2 VAR_V_10X301)) (tptp.pred_attacker VAR_V_10X301))))
% 0.59/0.80 (assume a110 (forall ((VAR_V_10X304 $$unsorted)) (=> (tptp.pred_attacker VAR_V_10X304) (tptp.pred_attacker (tptp.tuple_out_1 VAR_V_10X304)))))
% 0.59/0.80 (assume a111 (forall ((VAR_V_10X307 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_out_1 VAR_V_10X307)) (tptp.pred_attacker VAR_V_10X307))))
% 0.59/0.80 (assume a112 (forall ((VAR_V_111 $$unsorted)) (=> (tptp.pred_attacker VAR_V_111) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 VAR_V_111)))))
% 0.59/0.80 (assume a113 (forall ((VAR_V_114 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 VAR_V_114)) (tptp.pred_attacker VAR_V_114))))
% 0.59/0.80 (assume a114 (forall ((VAR_V_118 $$unsorted) (VAR_V_119 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_118) (tptp.pred_attacker VAR_V_119)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_118 VAR_V_119)))))
% 0.59/0.80 (assume a115 (forall ((VAR_V_126 $$unsorted) (VAR_V_127 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_126 VAR_V_127)) (tptp.pred_attacker VAR_V_126))))
% 0.59/0.80 (assume a116 (forall ((VAR_V_129 $$unsorted) (VAR_V_130X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_V_129 VAR_V_130X30)) (tptp.pred_attacker VAR_V_130X30))))
% 0.59/0.80 (assume a117 (forall ((VAR_V_134 $$unsorted) (VAR_V_135 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_134) (tptp.pred_attacker VAR_V_135)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_134 VAR_V_135)))))
% 0.59/0.80 (assume a118 (forall ((VAR_V_142 $$unsorted) (VAR_V_143 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_142 VAR_V_143)) (tptp.pred_attacker VAR_V_142))))
% 0.59/0.80 (assume a119 (forall ((VAR_V_145 $$unsorted) (VAR_V_146 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_V_145 VAR_V_146)) (tptp.pred_attacker VAR_V_146))))
% 0.59/0.80 (assume a120 (forall ((VAR_V_149 $$unsorted)) (=> (tptp.pred_attacker VAR_V_149) (tptp.pred_attacker (tptp.constr_getmess VAR_V_149)))))
% 0.59/0.80 (assume a121 (tptp.pred_attacker tptp.tuple_false))
% 0.59/0.80 (assume a122 (forall ((VAR_V_152 $$unsorted) (VAR_V_153 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_152) (tptp.pred_attacker VAR_V_153)) (tptp.pred_attacker (tptp.constr_enc VAR_V_152 VAR_V_153)))))
% 0.59/0.80 (assume a123 (forall ((VAR_V_159 $$unsorted) (VAR_V_160X30 $$unsorted) (VAR_V_161 $$unsorted) (VAR_V_162 $$unsorted) (VAR_V_163 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_159) (tptp.pred_attacker VAR_V_160X30) (tptp.pred_attacker VAR_V_161) (tptp.pred_attacker VAR_V_162) (tptp.pred_attacker VAR_V_163)) (tptp.pred_attacker (tptp.constr_ecb_enc_4 VAR_V_159 VAR_V_160X30 VAR_V_161 VAR_V_162 VAR_V_163)))))
% 0.59/0.80 (assume a124 (forall ((VAR_V_168 $$unsorted) (VAR_V_169 $$unsorted) (VAR_V_170X30 $$unsorted) (VAR_V_171 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_168) (tptp.pred_attacker VAR_V_169) (tptp.pred_attacker VAR_V_170X30) (tptp.pred_attacker VAR_V_171)) (tptp.pred_attacker (tptp.constr_ecb_enc_3 VAR_V_168 VAR_V_169 VAR_V_170X30 VAR_V_171)))))
% 0.59/0.80 (assume a125 (forall ((VAR_V_175 $$unsorted) (VAR_V_176 $$unsorted) (VAR_V_177 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_175) (tptp.pred_attacker VAR_V_176) (tptp.pred_attacker VAR_V_177)) (tptp.pred_attacker (tptp.constr_ecb_enc_2 VAR_V_175 VAR_V_176 VAR_V_177)))))
% 0.59/0.80 (assume a126 (forall ((VAR_V_180X30 $$unsorted) (VAR_V_181 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_180X30) (tptp.pred_attacker VAR_V_181)) (tptp.pred_attacker (tptp.constr_ecb_enc_1 VAR_V_180X30 VAR_V_181)))))
% 0.59/0.80 (assume a127 (forall ((VAR_V_184 $$unsorted) (VAR_V_185 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_184) (tptp.pred_attacker VAR_V_185)) (tptp.pred_attacker (tptp.constr_ecb_dec_4 VAR_V_184 VAR_V_185)))))
% 0.59/0.80 (assume a128 (forall ((VAR_V_188 $$unsorted) (VAR_V_189 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_188) (tptp.pred_attacker VAR_V_189)) (tptp.pred_attacker (tptp.constr_ecb_dec_3 VAR_V_188 VAR_V_189)))))
% 0.59/0.80 (assume a129 (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.constr_ecb_dec_2 VAR_V_192 VAR_V_193)))))
% 0.59/0.80 (assume a130 (forall ((VAR_V_196 $$unsorted) (VAR_V_197 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_196) (tptp.pred_attacker VAR_V_197)) (tptp.pred_attacker (tptp.constr_ecb_dec_1 VAR_V_196 VAR_V_197)))))
% 0.59/0.80 (assume a131 (forall ((VAR_V_20X300X30 $$unsorted) (VAR_V_20X301 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_20X300X30) (tptp.pred_attacker VAR_V_20X301)) (tptp.pred_attacker (tptp.constr_dec VAR_V_20X300X30 VAR_V_20X301)))))
% 0.59/0.80 (assume a132 (forall ((VAR_V_20X303 $$unsorted)) (=> (tptp.pred_attacker VAR_V_20X303) (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X303)))))
% 0.59/0.80 (assume a133 (forall ((VAR_V_20X306 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306)) (tptp.pred_attacker VAR_V_20X306))))
% 0.59/0.80 (assume a134 (forall ((VAR_V_20X309 $$unsorted)) (=> (tptp.pred_attacker VAR_V_20X309) (tptp.pred_attacker (tptp.tuple_client_B_out_4 VAR_V_20X309)))))
% 0.59/0.80 (assume a135 (forall ((VAR_V_212 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_4 VAR_V_212)) (tptp.pred_attacker VAR_V_212))))
% 0.59/0.80 (assume a136 (forall ((VAR_V_216 $$unsorted) (VAR_V_217 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_216) (tptp.pred_attacker VAR_V_217)) (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_216 VAR_V_217)))))
% 0.59/0.80 (assume a137 (forall ((VAR_V_224 $$unsorted) (VAR_V_225 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_224 VAR_V_225)) (tptp.pred_attacker VAR_V_224))))
% 0.59/0.80 (assume a138 (forall ((VAR_V_227 $$unsorted) (VAR_V_228 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 VAR_V_227 VAR_V_228)) (tptp.pred_attacker VAR_V_228))))
% 0.59/0.80 (assume a139 (forall ((VAR_V_231 $$unsorted)) (=> (tptp.pred_attacker VAR_V_231) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))))
% 0.59/0.80 (assume a140 (forall ((VAR_V_234 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_234)) (tptp.pred_attacker VAR_V_234))))
% 0.59/0.80 (assume a141 (forall ((VAR_V_237 $$unsorted)) (=> (tptp.pred_attacker VAR_V_237) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))))
% 0.59/0.80 (assume a142 (forall ((VAR_V_240X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_240X30)) (tptp.pred_attacker VAR_V_240X30))))
% 0.59/0.80 (assume a143 (forall ((VAR_V_243 $$unsorted)) (=> (tptp.pred_attacker VAR_V_243) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))))
% 0.59/0.80 (assume a144 (forall ((VAR_V_246 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_246)) (tptp.pred_attacker VAR_V_246))))
% 0.59/0.80 (assume a145 (forall ((VAR_V_249 $$unsorted)) (=> (tptp.pred_attacker VAR_V_249) (tptp.pred_attacker (tptp.tuple_client_A_out_5 VAR_V_249)))))
% 0.59/0.80 (assume a146 (forall ((VAR_V_252 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_5 VAR_V_252)) (tptp.pred_attacker VAR_V_252))))
% 0.59/0.80 (assume a147 (forall ((VAR_V_255 $$unsorted)) (=> (tptp.pred_attacker VAR_V_255) (tptp.pred_attacker (tptp.tuple_client_A_out_3 VAR_V_255)))))
% 0.59/0.80 (assume a148 (forall ((VAR_V_258 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_3 VAR_V_258)) (tptp.pred_attacker VAR_V_258))))
% 0.59/0.80 (assume a149 (forall ((VAR_V_262 $$unsorted) (VAR_V_263 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_262) (tptp.pred_attacker VAR_V_263)) (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_262 VAR_V_263)))))
% 0.59/0.80 (assume a150 (forall ((VAR_V_270X30 $$unsorted) (VAR_V_271 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_270X30 VAR_V_271)) (tptp.pred_attacker VAR_V_270X30))))
% 0.59/0.80 (assume a151 (forall ((VAR_V_273 $$unsorted) (VAR_V_274 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 VAR_V_273 VAR_V_274)) (tptp.pred_attacker VAR_V_274))))
% 0.59/0.80 (assume a152 (forall ((VAR_V_277 $$unsorted)) (=> (tptp.pred_attacker VAR_V_277) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_277)))))
% 0.59/0.80 (assume a153 (forall ((VAR_V_280X30 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_V_280X30)) (tptp.pred_attacker VAR_V_280X30))))
% 0.59/0.80 (assume a154 (forall ((VAR_V_283 $$unsorted)) (=> (tptp.pred_attacker VAR_V_283) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_283)))))
% 0.59/0.80 (assume a155 (forall ((VAR_V_286 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_V_286)) (tptp.pred_attacker VAR_V_286))))
% 0.59/0.80 (assume a156 (forall ((VAR_V_290X30 $$unsorted) (VAR_V_291 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_290X30) (tptp.pred_attacker VAR_V_291)) (tptp.pred_attacker (tptp.constr_checksign VAR_V_290X30 VAR_V_291)))))
% 0.59/0.80 (assume a157 (tptp.pred_attacker tptp.constr_CONST_4))
% 0.59/0.80 (assume a158 (tptp.pred_attacker tptp.constr_CONST_3))
% 0.59/0.80 (assume a159 (tptp.pred_attacker tptp.constr_CONST_2))
% 0.59/0.80 (assume a160 (tptp.pred_attacker tptp.constr_CONST_1))
% 0.59/0.80 (assume a161 (tptp.pred_attacker tptp.constr_CONST_0x30))
% 0.59/0.80 (assume a162 (forall ((VAR_V_30X300X30 $$unsorted) (VAR_V_30X301 $$unsorted) (VAR_V_30X302 $$unsorted) (VAR_V_30X303 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_30X300X30) (tptp.pred_attacker VAR_V_30X301) (tptp.pred_attacker VAR_V_30X302) (tptp.pred_attacker VAR_V_30X303)) (tptp.pred_attacker (tptp.tuple_4 VAR_V_30X300X30 VAR_V_30X301 VAR_V_30X302 VAR_V_30X303)))))
% 0.59/0.80 (assume a163 (forall ((VAR_V_324 $$unsorted) (VAR_V_325 $$unsorted) (VAR_V_326 $$unsorted) (VAR_V_327 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_4 VAR_V_324 VAR_V_325 VAR_V_326 VAR_V_327)) (tptp.pred_attacker VAR_V_324))))
% 0.59/0.80 (assume a164 (forall ((VAR_V_329 $$unsorted) (VAR_V_330X30 $$unsorted) (VAR_V_331 $$unsorted) (VAR_V_332 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_4 VAR_V_329 VAR_V_330X30 VAR_V_331 VAR_V_332)) (tptp.pred_attacker VAR_V_330X30))))
% 0.59/0.80 (assume a165 (forall ((VAR_V_334 $$unsorted) (VAR_V_335 $$unsorted) (VAR_V_336 $$unsorted) (VAR_V_337 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_4 VAR_V_334 VAR_V_335 VAR_V_336 VAR_V_337)) (tptp.pred_attacker VAR_V_336))))
% 0.59/0.80 (assume a166 (forall ((VAR_V_339 $$unsorted) (VAR_V_340X30 $$unsorted) (VAR_V_341 $$unsorted) (VAR_V_342 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_4 VAR_V_339 VAR_V_340X30 VAR_V_341 VAR_V_342)) (tptp.pred_attacker VAR_V_342))))
% 0.59/0.80 (assume a167 (forall ((VAR_V_347 $$unsorted) (VAR_V_348 $$unsorted) (VAR_V_349 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_347) (tptp.pred_attacker VAR_V_348) (tptp.pred_attacker VAR_V_349)) (tptp.pred_attacker (tptp.tuple_3 VAR_V_347 VAR_V_348 VAR_V_349)))))
% 0.59/0.80 (assume a168 (forall ((VAR_V_362 $$unsorted) (VAR_V_363 $$unsorted) (VAR_V_364 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_3 VAR_V_362 VAR_V_363 VAR_V_364)) (tptp.pred_attacker VAR_V_362))))
% 0.59/0.80 (assume a169 (forall ((VAR_V_366 $$unsorted) (VAR_V_367 $$unsorted) (VAR_V_368 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_3 VAR_V_366 VAR_V_367 VAR_V_368)) (tptp.pred_attacker VAR_V_367))))
% 0.59/0.80 (assume a170 (forall ((VAR_V_370X30 $$unsorted) (VAR_V_371 $$unsorted) (VAR_V_372 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_3 VAR_V_370X30 VAR_V_371 VAR_V_372)) (tptp.pred_attacker VAR_V_372))))
% 0.59/0.80 (assume a171 (forall ((VAR_V_376 $$unsorted) (VAR_V_377 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_376) (tptp.pred_attacker VAR_V_377)) (tptp.pred_attacker (tptp.tuple_2 VAR_V_376 VAR_V_377)))))
% 0.59/0.80 (assume a172 (forall ((VAR_V_384 $$unsorted) (VAR_V_385 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_2 VAR_V_384 VAR_V_385)) (tptp.pred_attacker VAR_V_384))))
% 0.59/0.80 (assume a173 (forall ((VAR_V_387 $$unsorted) (VAR_V_388 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_2 VAR_V_387 VAR_V_388)) (tptp.pred_attacker VAR_V_388))))
% 0.59/0.80 (assume a174 (forall ((VAR_V_390X30 $$unsorted) (VAR_V_391 $$unsorted)) (=> (and (tptp.pred_mess VAR_V_391 VAR_V_390X30) (tptp.pred_attacker VAR_V_391)) (tptp.pred_attacker VAR_V_390X30))))
% 0.59/0.80 (assume a175 (forall ((VAR_V_392 $$unsorted) (VAR_V_393 $$unsorted)) (=> (and (tptp.pred_attacker VAR_V_393) (tptp.pred_attacker VAR_V_392)) (tptp.pred_mess VAR_V_393 VAR_V_392))))
% 0.59/0.80 (assume a176 (tptp.pred_attacker tptp.name_c))
% 0.59/0.80 (assume a177 (tptp.pred_attacker tptp.name_I))
% 0.59/0.80 (assume a178 (tptp.pred_attacker tptp.name_B))
% 0.59/0.80 (assume a179 (tptp.pred_attacker tptp.name_A))
% 0.59/0.80 (assume a180 (forall ((VAR_V_395 $$unsorted)) (tptp.pred_equal VAR_V_395 VAR_V_395)))
% 0.59/0.80 (assume a181 (forall ((VAR_V_396 $$unsorted)) (tptp.pred_attacker (tptp.name_new0x2Dname VAR_V_396))))
% 0.59/0.80 (assume a182 (tptp.pred_table (tptp.tuple_keys tptp.name_A (tptp.constr_pkey tptp.name_skA))))
% 0.59/0.80 (assume a183 (tptp.pred_table (tptp.tuple_keys tptp.name_B (tptp.constr_pkey tptp.name_skB))))
% 0.59/0.80 (assume a184 (tptp.pred_attacker (tptp.tuple_out_1 (tptp.constr_pkey tptp.name_skA))))
% 0.59/0.80 (assume a185 (tptp.pred_attacker (tptp.tuple_out_2 (tptp.constr_pkey tptp.name_skB))))
% 0.59/0.80 (assume a186 (tptp.pred_attacker (tptp.tuple_out_3 (tptp.constr_pkey tptp.name_skS))))
% 0.59/0.80 (assume a187 (tptp.pred_attacker (tptp.tuple_client_A_out_1 tptp.name_A tptp.name_I)))
% 0.59/0.80 (assume a188 (forall ((VAR_0X40SID_512 $$unsorted) (VAR_SIGN_I_PKI_511 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_I_PKI_511 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_SIGN_I_PKI_511))) (tptp.pred_attacker (tptp.tuple_client_A_out_3 (tptp.constr_ecb_enc_2 (tptp.name_Na VAR_0X40SID_512) tptp.name_A (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_I_PKI_511 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.59/0.80 (assume a189 (forall ((VAR_0X40SID_577 $$unsorted) (VAR_ECB_ENC_NA_NI_I_576 $$unsorted) (VAR_SIGN_I_PKI_578 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_3_get_2 (tptp.constr_ecb_dec_3 VAR_ECB_ENC_NA_NI_I_576 tptp.name_skA))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na VAR_0X40SID_577) (tptp.constr_tuple_3_get_0x30 (tptp.constr_ecb_dec_3 VAR_ECB_ENC_NA_NI_I_576 tptp.name_skA))) (tptp.pred_attacker (tptp.tuple_client_A_in_4 VAR_ECB_ENC_NA_NI_I_576)) (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_I_PKI_578 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_A_in_2 VAR_SIGN_I_PKI_578))) (tptp.pred_attacker (tptp.tuple_client_A_out_5 (tptp.constr_ecb_enc_1 (tptp.constr_tuple_3_get_1_bitstring (tptp.constr_ecb_dec_3 VAR_ECB_ENC_NA_NI_I_576 tptp.name_skA)) (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_I_PKI_578 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.59/0.80 (assume a190 (tptp.pred_attacker (tptp.tuple_client_B_out_1 tptp.name_B tptp.name_A)))
% 0.59/0.80 (assume a191 (forall ((VAR_0X40SID_687 $$unsorted) (VAR_ECB_ENC_NA_A_685 $$unsorted) (VAR_SIGN_A_PKA_686 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_685 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_685)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_686 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_686))) (tptp.pred_attacker (tptp.tuple_client_B_out_4 (tptp.constr_ecb_enc_3 (tptp.constr_tuple_2_get_0x30_bitstring (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_685 tptp.name_skB)) (tptp.name_Nb VAR_0X40SID_687) tptp.name_B (tptp.constr_tuple_2_get_1_bitstring (tptp.constr_checksign VAR_SIGN_A_PKA_686 (tptp.constr_pkey tptp.name_skS)))))))))
% 0.59/0.80 (assume a192 (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NA_A_719 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted) (VAR_SIGN_A_PKA_720X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))))
% 0.59/0.80 (assume a193 (forall ((VAR_DST_759 $$unsorted) (VAR_PKDST_760X30 $$unsorted) (VAR_SRC_761 $$unsorted)) (=> (and (tptp.pred_table (tptp.tuple_keys VAR_DST_759 VAR_PKDST_760X30)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 VAR_SRC_761 VAR_DST_759))) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 (tptp.constr_sign (tptp.tuple_2 VAR_DST_759 VAR_PKDST_760X30) tptp.name_skS))))))
% 0.59/0.80 (assume a194 (forall ((VAR_HOST_813 $$unsorted) (VAR_PK_814 $$unsorted)) (=> (and (not (= VAR_HOST_813 tptp.name_B)) (not (= VAR_HOST_813 tptp.name_A)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 VAR_HOST_813 VAR_PK_814))) (tptp.pred_table (tptp.tuple_keys VAR_HOST_813 VAR_PK_814)))))
% 0.59/0.80 (assume a195 (not (tptp.pred_attacker tptp.name_objective)))
% 0.59/0.80 (assume a196 true)
% 0.59/0.80 (step t1 (cl (=> (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306)))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t2)
% 0.59/0.80 (assume t2.a0 (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))))
% 0.59/0.80 (step t2.t1 (cl (or (not (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule forall_inst :args ((:= VAR_V_20X306 tptp.name_objective)))
% 0.59/0.80 (step t2.t2 (cl (not (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306)))) (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))
% 0.59/0.80 (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))
% 0.59/0.80 (step t2 (cl (not (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule subproof :discharge (t2.a0))
% 0.59/0.80 (step t3 (cl (=> (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))) (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))
% 0.59/0.80 (step t4 (cl (=> (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (not (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule implies_neg2)
% 0.59/0.80 (step t5 (cl (=> (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (=> (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule resolution :premises (t3 t4))
% 0.59/0.80 (step t6 (cl (=> (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule contraction :premises (t5))
% 0.59/0.80 (step t7 (cl (not (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306)))) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) :rule implies :premises (t6))
% 0.59/0.80 (step t8 (cl (not (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective))) (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)) :rule or_pos)
% 0.59/0.80 (step t9 (cl (tptp.pred_attacker tptp.name_objective) (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (not (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) (tptp.pred_attacker tptp.name_objective)))) :rule reordering :premises (t8))
% 0.59/0.80 (step t10 (cl (not (= (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NA_A_719 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted) (VAR_SIGN_A_PKA_720X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))))) (not (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NA_A_719 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted) (VAR_SIGN_A_PKA_720X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))))) (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))))) :rule equiv_pos2)
% 0.59/0.80 (step t11 (cl (= (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NA_A_719 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted) (VAR_SIGN_A_PKA_720X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NA_A_719 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted) (VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))))) :rule all_simplify)
% 0.59/0.80 (step t12 (cl (= (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NA_A_719 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted) (VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))))) :rule all_simplify)
% 0.59/0.80 (step t13 (cl (= (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NA_A_719 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted) (VAR_SIGN_A_PKA_720X30 $$unsorted)) (=> (and (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB))) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS)))) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))) (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)))) (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))))) :rule trans :premises (t11 t12))
% 0.59/0.80 (step t14 (cl (or (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))))) :rule resolution :premises (t10 t13 a192))
% 0.59/0.80 (step t15 (cl (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective)) (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))) :rule or :premises (t14))
% 0.59/0.80 (step t16 (cl (=> (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)))))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t17)
% 0.59/0.80 (assume t17.a0 (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))))
% 0.59/0.80 (step t17.t1 (cl (or (not (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule forall_inst :args ((:= VAR_0X40SID_717 tptp.constr_CONST_0x30) (:= VAR_ECB_ENC_NB_718 tptp.constr_CONST_1)))
% 0.59/0.80 (step t17.t2 (cl (not (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule or :premises (t17.t1))
% 0.59/0.80 (step t17.t3 (cl (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule resolution :premises (t17.t2 t17.a0))
% 0.59/0.80 (step t17 (cl (not (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule subproof :discharge (t17.a0))
% 0.59/0.80 (step t18 (cl (=> (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule resolution :premises (t16 t17))
% 0.59/0.80 (step t19 (cl (=> (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule implies_neg2)
% 0.59/0.80 (step t20 (cl (=> (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) (=> (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule resolution :premises (t18 t19))
% 0.59/0.80 (step t21 (cl (=> (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))))) :rule contraction :premises (t20))
% 0.59/0.80 (step t22 (cl (not (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718)))))) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 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))
% 0.59/0.80 (step t23 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 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_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule or_pos)
% 0.59/0.80 (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_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 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))
% 0.59/0.80 (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)
% 0.59/0.80 (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))
% 0.59/0.80 (step t27 (cl (=> (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))) (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_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231))))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t28)
% 0.59/0.80 (assume t28.a0 (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))))
% 0.59/0.80 (step t28.t1 (cl (or (not (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule forall_inst :args ((:= VAR_V_231 tptp.constr_CONST_1)))
% 0.59/0.80 (step t28.t2 (cl (not (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231))))) (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))
% 0.59/0.80 (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))
% 0.59/0.80 (step t28 (cl (not (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule subproof :discharge (t28.a0))
% 0.59/0.80 (step t29 (cl (=> (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))) (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))
% 0.59/0.80 (step t30 (cl (=> (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) (not (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule implies_neg2)
% 0.59/0.80 (step t31 (cl (=> (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))) (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_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))))) :rule resolution :premises (t29 t30))
% 0.59/0.80 (step t32 (cl (=> (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))) (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))
% 0.59/0.80 (step t33 (cl (not (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1)))) :rule implies :premises (t32))
% 0.59/0.80 (step t34 (cl (not (= (forall ((VAR_V_231 $$unsorted)) (=> (tptp.pred_attacker VAR_V_231) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))) (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))))) (not (forall ((VAR_V_231 $$unsorted)) (=> (tptp.pred_attacker VAR_V_231) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231))))) (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231))))) :rule equiv_pos2)
% 0.59/0.80 (step t35 (cl (= (forall ((VAR_V_231 $$unsorted)) (=> (tptp.pred_attacker VAR_V_231) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))) (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231)))))) :rule all_simplify)
% 0.59/0.80 (step t36 (cl (forall ((VAR_V_231 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_231)) (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_V_231))))) :rule resolution :premises (t34 t35 a139))
% 0.59/0.80 (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))
% 0.59/0.80 (step t38 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))) :rule resolution :premises (t26 a160 t37))
% 0.59/0.80 (step t39 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t40)
% 0.59/0.80 (assume t40.a0 (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)))
% 0.59/0.80 (step t40.t1 (cl (or (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB)))) :rule forall_inst :args ((:= VAR_X_65 (tptp.name_Nb tptp.constr_CONST_0x30)) (:= VAR_Y_66 (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))))
% 0.59/0.80 (step t40.t2 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) :rule or :premises (t40.t1))
% 0.59/0.80 (step t40.t3 (cl (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t40.t2 t40.a0))
% 0.59/0.80 (step t40 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) :rule subproof :discharge (t40.a0))
% 0.59/0.80 (step t41 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t39 t40))
% 0.59/0.80 (step t42 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB)))) :rule implies_neg2)
% 0.59/0.80 (step t43 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t41 t42))
% 0.59/0.80 (step t44 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB)))) :rule contraction :premises (t43))
% 0.59/0.80 (step t45 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) :rule implies :premises (t44))
% 0.59/0.80 (step t46 (cl (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 tptp.constr_CONST_1 tptp.name_skB))) :rule resolution :premises (t45 a95))
% 0.59/0.80 (step t47 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb tptp.constr_CONST_0x30) (tptp.constr_ecb_dec_1 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))
% 0.59/0.80 (step t48 (cl (not (forall ((VAR_0X40SID_717 $$unsorted) (VAR_ECB_ENC_NB_718 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb VAR_0X40SID_717) (tptp.constr_ecb_dec_1 VAR_ECB_ENC_NB_718 tptp.name_skB))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_5 VAR_ECB_ENC_NB_718))))))) :rule resolution :premises (t22 t47))
% 0.59/0.80 (step t49 (cl (=> (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)))))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t50)
% 0.59/0.80 (assume t50.a0 (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))))
% 0.59/0.80 (step t50.t1 (cl (or (not (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 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_ECB_ENC_NA_A_719 tptp.constr_CONST_1)))
% 0.59/0.80 (step t50.t2 (cl (not (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule or :premises (t50.t1))
% 0.59/0.80 (step t50.t3 (cl (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule resolution :premises (t50.t2 t50.a0))
% 0.59/0.80 (step t50 (cl (not (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 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))
% 0.59/0.80 (step t51 (cl (=> (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule resolution :premises (t49 t50))
% 0.59/0.80 (step t52 (cl (=> (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 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_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule implies_neg2)
% 0.59/0.80 (step t53 (cl (=> (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) (=> (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 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))
% 0.59/0.80 (step t54 (cl (=> (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule contraction :premises (t53))
% 0.59/0.80 (step t55 (cl (not (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 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))
% 0.59/0.80 (step t56 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 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_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule or_pos)
% 0.59/0.80 (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_ecb_dec_2 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_ecb_dec_2 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))
% 0.59/0.80 (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)
% 0.59/0.80 (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))
% 0.59/0.80 (step t60 (cl (=> (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237))))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t61)
% 0.59/0.80 (assume t61.a0 (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))))
% 0.59/0.80 (step t61.t1 (cl (or (not (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237))))) (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_237 tptp.constr_CONST_1)))
% 0.59/0.80 (step t61.t2 (cl (not (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule or :premises (t61.t1))
% 0.59/0.80 (step t61.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t61.t2 t61.a0))
% 0.59/0.80 (step t61 (cl (not (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237))))) (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))
% 0.59/0.80 (step t62 (cl (=> (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t60 t61))
% 0.59/0.80 (step t63 (cl (=> (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))) (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)
% 0.59/0.80 (step t64 (cl (=> (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))) (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))
% 0.59/0.80 (step t65 (cl (=> (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))))) :rule contraction :premises (t64))
% 0.59/0.80 (step t66 (cl (not (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237))))) (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))
% 0.59/0.80 (step t67 (cl (not (= (forall ((VAR_V_237 $$unsorted)) (=> (tptp.pred_attacker VAR_V_237) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))) (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))))) (not (forall ((VAR_V_237 $$unsorted)) (=> (tptp.pred_attacker VAR_V_237) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237))))) (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237))))) :rule equiv_pos2)
% 0.59/0.80 (step t68 (cl (= (forall ((VAR_V_237 $$unsorted)) (=> (tptp.pred_attacker VAR_V_237) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))) (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237)))))) :rule all_simplify)
% 0.59/0.80 (step t69 (cl (forall ((VAR_V_237 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_237)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_V_237))))) :rule resolution :premises (t67 t68 a141))
% 0.59/0.80 (step t70 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))) :rule resolution :premises (t66 t69))
% 0.59/0.80 (step t71 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))) :rule resolution :premises (t59 a160 t70))
% 0.59/0.80 (step t72 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t73)
% 0.59/0.80 (assume t73.a0 (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)))
% 0.59/0.80 (step t73.t1 (cl (or (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB))))) :rule forall_inst :args ((:= VAR_X_65 tptp.name_A) (:= VAR_Y_66 (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))))
% 0.59/0.80 (step t73.t2 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) :rule or :premises (t73.t1))
% 0.59/0.80 (step t73.t3 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t73.t2 t73.a0))
% 0.59/0.80 (step t73 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) :rule subproof :discharge (t73.a0))
% 0.59/0.80 (step t74 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t72 t73))
% 0.59/0.80 (step t75 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB))))) :rule implies_neg2)
% 0.59/0.80 (step t76 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB))))) :rule resolution :premises (t74 t75))
% 0.59/0.80 (step t77 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB))))) :rule contraction :premises (t76))
% 0.59/0.80 (step t78 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) :rule implies :premises (t77))
% 0.59/0.80 (step t79 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) :rule resolution :premises (t78 a95))
% 0.59/0.80 (step t80 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 tptp.constr_CONST_1 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1)))))) :rule resolution :premises (t57 t71 t79))
% 0.59/0.80 (step t81 (cl (not (forall ((VAR_ECB_ENC_NA_A_719 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_ecb_dec_2 VAR_ECB_ENC_NA_A_719 tptp.name_skB)))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_3 VAR_ECB_ENC_NA_A_719))))))) :rule resolution :premises (t55 t80))
% 0.59/0.80 (step t82 (cl (=> (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t83)
% 0.59/0.80 (assume t83.a0 (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))))
% 0.59/0.80 (step t83.t1 (cl (or (not (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))) (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_720X30 tptp.constr_CONST_1)))
% 0.59/0.80 (step t83.t2 (cl (not (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule or :premises (t83.t1))
% 0.59/0.80 (step t83.t3 (cl (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t83.t2 t83.a0))
% 0.59/0.80 (step t83 (cl (not (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))) (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))
% 0.59/0.80 (step t84 (cl (=> (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule resolution :premises (t82 t83))
% 0.59/0.80 (step t85 (cl (=> (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))) (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)
% 0.59/0.80 (step t86 (cl (=> (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) (=> (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))) (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))
% 0.59/0.80 (step t87 (cl (=> (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule contraction :premises (t86))
% 0.59/0.80 (step t88 (cl (not (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30)))))) (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))
% 0.59/0.80 (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)
% 0.59/0.80 (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))
% 0.59/0.80 (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)
% 0.59/0.80 (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))
% 0.59/0.80 (step t93 (cl (=> (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243))))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t94)
% 0.59/0.80 (assume t94.a0 (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))))
% 0.59/0.80 (step t94.t1 (cl (or (not (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243))))) (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_243 tptp.constr_CONST_1)))
% 0.59/0.80 (step t94.t2 (cl (not (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243))))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule or :premises (t94.t1))
% 0.59/0.80 (step t94.t3 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t94.t2 t94.a0))
% 0.59/0.80 (step t94 (cl (not (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243))))) (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))
% 0.59/0.80 (step t95 (cl (=> (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t93 t94))
% 0.59/0.80 (step t96 (cl (=> (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))) (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)
% 0.59/0.80 (step t97 (cl (=> (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) (=> (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))) (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))
% 0.59/0.80 (step t98 (cl (=> (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))) (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))))) :rule contraction :premises (t97))
% 0.59/0.80 (step t99 (cl (not (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243))))) (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))
% 0.59/0.80 (step t100 (cl (not (= (forall ((VAR_V_243 $$unsorted)) (=> (tptp.pred_attacker VAR_V_243) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))) (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))))) (not (forall ((VAR_V_243 $$unsorted)) (=> (tptp.pred_attacker VAR_V_243) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243))))) (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243))))) :rule equiv_pos2)
% 0.59/0.80 (step t101 (cl (= (forall ((VAR_V_243 $$unsorted)) (=> (tptp.pred_attacker VAR_V_243) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))) (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243)))))) :rule all_simplify)
% 0.59/0.80 (step t102 (cl (forall ((VAR_V_243 $$unsorted)) (or (not (tptp.pred_attacker VAR_V_243)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_V_243))))) :rule resolution :premises (t100 t101 a143))
% 0.59/0.80 (step t103 (cl (or (not (tptp.pred_attacker tptp.constr_CONST_1)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))) :rule resolution :premises (t99 t102))
% 0.59/0.80 (step t104 (cl (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))) :rule resolution :premises (t92 a160 t103))
% 0.59/0.80 (step t105 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) :rule implies_neg1)
% 0.59/0.80 (anchor :step t106)
% 0.59/0.80 (assume t106.a0 (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)))
% 0.59/0.80 (step t106.t1 (cl (or (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS)))))) :rule forall_inst :args ((:= VAR_X_65 tptp.name_A) (:= VAR_Y_66 (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))))
% 0.59/0.80 (step t106.t2 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule or :premises (t106.t1))
% 0.59/0.80 (step t106.t3 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule resolution :premises (t106.t2 t106.a0))
% 0.59/0.80 (step t106 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule subproof :discharge (t106.a0))
% 0.59/0.80 (step t107 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule resolution :premises (t105 t106))
% 0.59/0.80 (step t108 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS)))))) :rule implies_neg2)
% 0.59/0.80 (step t109 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS)))))) :rule resolution :premises (t107 t108))
% 0.59/0.80 (step t110 (cl (=> (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS)))))) :rule contraction :premises (t109))
% 0.59/0.80 (step t111 (cl (not (forall ((VAR_X_65 $$unsorted) (VAR_Y_66 $$unsorted)) (tptp.pred_eq_bitstring_bitstring VAR_X_65 VAR_Y_66))) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule implies :premises (t110))
% 0.59/0.80 (step t112 (cl (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) :rule resolution :premises (t111 a95))
% 0.59/0.80 (step t113 (cl (not (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1)))))) :rule resolution :premises (t90 t104 t112))
% 0.59/0.80 (step t114 (cl (not (forall ((VAR_SIGN_A_PKA_720X30 $$unsorted)) (or (not (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign VAR_SIGN_A_PKA_720X30 (tptp.constr_pkey tptp.name_skS))))) (not (tptp.pred_attacker (tptp.tuple_client_B_in_2 VAR_SIGN_A_PKA_720X30))))))) :rule resolution :premises (t88 t113))
% 0.59/0.80 (step t115 (cl (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) :rule resolution :premises (t15 t48 t81 t114))
% 0.59/0.80 (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 a195 t115))
% 0.59/0.80 (step t117 (cl (not (= (forall ((VAR_V_20X306 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306)) (tptp.pred_attacker VAR_V_20X306))) (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))))) (not (forall ((VAR_V_20X306 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306)) (tptp.pred_attacker VAR_V_20X306)))) (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306)))) :rule equiv_pos2)
% 0.59/0.80 (step t118 (cl (= (forall ((VAR_V_20X306 $$unsorted)) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306)) (tptp.pred_attacker VAR_V_20X306))) (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306))))) :rule all_simplify)
% 0.59/0.81 (step t119 (cl (forall ((VAR_V_20X306 $$unsorted)) (or (not (tptp.pred_attacker (tptp.tuple_client_B_out_6 VAR_V_20X306))) (tptp.pred_attacker VAR_V_20X306)))) :rule resolution :premises (t117 t118 a133))
% 0.59/0.81 (step t120 (cl) :rule resolution :premises (t7 t116 t119))
% 0.59/0.81
% 0.59/0.81 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.HMELlcD9Bh/cvc5---1.0.5_15468.smt2
% 0.59/0.81 % cvc5---1.0.5 exiting
% 0.59/0.81 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------