%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW965+1 : TPTP v9.2.1. Released v7.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:53 AM UTC 2026 % Result : Theorem 0.35s 0.68s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW965+1 : TPTP v9.2.1. Released v7.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:51:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.68 % SZS status Theorem % 0.35/0.68 % SZS output start Proof % 0.35/0.68 ( % 0.35/0.68 (declare-sort $$unsorted 0) % 0.35/0.68 (declare-const tptp.name_Nb (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.pred_table (-> $$unsorted Bool)) % 0.35/0.68 (declare-const tptp.pred_equal (-> $$unsorted $$unsorted Bool)) % 0.35/0.68 (declare-const tptp.tuple_client_A_in_2 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_client_A_in_4 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_client_A_out_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_client_B_in_3 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_client_B_out_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_client_B_out_6 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_key_retrieval_server_out_2 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.pred_mess (-> $$unsorted $$unsorted Bool)) % 0.35/0.68 (declare-const tptp.tuple_client_B_out_4 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_true $$unsorted) % 0.35/0.68 (declare-const tptp.tuple_key_retrieval_server_in_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.pred_attacker (-> $$unsorted Bool)) % 0.35/0.68 (declare-const tptp.constr_xor (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_tuple_2_get_1_bitstring (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.name_skA $$unsorted) % 0.35/0.68 (declare-const tptp.name_objective $$unsorted) % 0.35/0.68 (declare-const tptp.tuple_keys (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_out_2 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.name_c $$unsorted) % 0.35/0.68 (declare-const tptp.constr_checksign (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_aenc (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.name_I $$unsorted) % 0.35/0.68 (declare-const tptp.name_A $$unsorted) % 0.35/0.68 (declare-const tptp.name_Na (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_sign (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_false $$unsorted) % 0.35/0.68 (declare-const tptp.constr_ZERO $$unsorted) % 0.35/0.68 (declare-const tptp.tuple_key_register_server_in_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_tuple_2_get_0x30_bitstring (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_out_3 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_CONST_4 $$unsorted) % 0.35/0.68 (declare-const tptp.tuple_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_CONST_3 $$unsorted) % 0.35/0.68 (declare-const tptp.tuple_out_1 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_CONST_1 $$unsorted) % 0.35/0.68 (declare-const tptp.tuple_client_B_in_5 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_enc (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_CONST_0x30 $$unsorted) % 0.35/0.68 (declare-const tptp.name_skS $$unsorted) % 0.35/0.68 (declare-const tptp.tuple_client_A_out_3 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.name_skB $$unsorted) % 0.35/0.68 (declare-const tptp.constr_dec (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.name_new0x2Dname (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_client_A_out_5 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.name_B $$unsorted) % 0.35/0.68 (declare-const tptp.constr_pkey (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_adec (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_getmess (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_tuple_2_get_1 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_tuple_2_get_0x30 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.tuple_client_B_in_2 (-> $$unsorted $$unsorted)) % 0.35/0.68 (declare-const tptp.constr_CONST_2 $$unsorted) % 0.35/0.68 (declare-const tptp.pred_eq_bitstring_bitstring (-> $$unsorted $$unsorted Bool)) % 0.35/0.68 (define @t1 () (@var "VAR_M_23" $$unsorted)) % 0.35/0.68 (define @t2 () (@var "VAR_K_24" $$unsorted)) % 0.35/0.68 (define @t3 () (@var "VAR_M_21" $$unsorted)) % 0.35/0.68 (define @t4 () (@var "VAR_K_22" $$unsorted)) % 0.35/0.68 (define @t5 () (@var "VAR_M_19" $$unsorted)) % 0.35/0.68 (define @t6 () (@var "VAR_K_20X30" $$unsorted)) % 0.35/0.68 (define @t7 () (@var "VAR_M_0X30" $$unsorted)) % 0.35/0.68 (define @t8 () (@var "VAR_K_0X30" $$unsorted)) % 0.35/0.68 (define @t9 () (@var "VAR_X_18" $$unsorted)) % 0.35/0.68 (define @t10 () (@var "VAR_X_17" $$unsorted)) % 0.35/0.68 (define @t11 () (@var "VAR_X_15" $$unsorted)) % 0.35/0.68 (define @t12 () (@var "VAR_Y_16" $$unsorted)) % 0.35/0.68 (define @t13 () (@var "VAR_Z_0X30" $$unsorted)) % 0.35/0.68 (define @t14 () (@var "VAR_Y_14" $$unsorted)) % 0.35/0.68 (define @t15 () (@var "VAR_X_13" $$unsorted)) % 0.35/0.68 (define @t16 () (@var "VAR_X1_12" $$unsorted)) % 0.35/0.68 (define @t17 () (@var "VAR_X0X30_11" $$unsorted)) % 0.35/0.68 (define @t18 () (@var "VAR_X0X30_9" $$unsorted)) % 0.35/0.68 (define @t19 () (@var "VAR_X1_10X30" $$unsorted)) % 0.35/0.68 (define @t20 () (@var "VAR_X1_8" $$unsorted)) % 0.35/0.68 (define @t21 () (@var "VAR_X0X30_7" $$unsorted)) % 0.35/0.68 (define @t22 () (@var "VAR_X0X30_0X30" $$unsorted)) % 0.35/0.68 (define @t23 () (@var "VAR_X1_0X30" $$unsorted)) % 0.35/0.68 (define @t24 () (@var "VAR_Y_42" $$unsorted)) % 0.35/0.68 (define @t25 () (@var "VAR_X_41" $$unsorted)) % 0.35/0.68 (define @t26 () (@var "VAR_V_50X30" $$unsorted)) % 0.35/0.68 (define @t27 () (@var "VAR_V_49" $$unsorted)) % 0.35/0.68 (define @t28 () (@var "VAR_V_52" $$unsorted)) % 0.35/0.68 (define @t29 () (@var "VAR_V_54" $$unsorted)) % 0.35/0.68 (define @t30 () (@var "VAR_V_56" $$unsorted)) % 0.35/0.68 (define @t31 () (@var "VAR_V_58" $$unsorted)) % 0.35/0.68 (define @t32 () (@var "VAR_V_62" $$unsorted)) % 0.35/0.68 (define @t33 () (@var "VAR_V_61" $$unsorted)) % 0.35/0.68 (define @t34 () (@var "VAR_V_64" $$unsorted)) % 0.35/0.68 (define @t35 () (@var "VAR_V_66" $$unsorted)) % 0.35/0.68 (define @t36 () (@var "VAR_V_69" $$unsorted)) % 0.35/0.68 (define @t37 () (@var "VAR_V_72" $$unsorted)) % 0.35/0.68 (define @t38 () (@var "VAR_V_75" $$unsorted)) % 0.35/0.68 (define @t39 () (@var "VAR_V_78" $$unsorted)) % 0.35/0.68 (define @t40 () (@var "VAR_V_81" $$unsorted)) % 0.35/0.68 (define @t41 () (@var "VAR_V_85" $$unsorted)) % 0.35/0.68 (define @t42 () (@var "VAR_V_88" $$unsorted)) % 0.35/0.68 (define @t43 () (@var "VAR_V_93" $$unsorted)) % 0.35/0.68 (define @t44 () (@var "VAR_V_92" $$unsorted)) % 0.35/0.68 (define @t45 () (@var "VAR_V_10X300X30" $$unsorted)) % 0.35/0.68 (define @t46 () (@var "VAR_V_10X301" $$unsorted)) % 0.35/0.68 (define @t47 () (@var "VAR_V_10X304" $$unsorted)) % 0.35/0.68 (define @t48 () (@var "VAR_V_10X303" $$unsorted)) % 0.35/0.68 (define @t49 () (@var "VAR_V_10X309" $$unsorted)) % 0.35/0.68 (define @t50 () (@var "VAR_V_10X308" $$unsorted)) % 0.35/0.68 (define @t51 () (@var "VAR_V_116" $$unsorted)) % 0.35/0.68 (define @t52 () (@var "VAR_V_117" $$unsorted)) % 0.35/0.68 (define @t53 () (@var "VAR_V_120X30" $$unsorted)) % 0.35/0.68 (define @t54 () (@var "VAR_V_119" $$unsorted)) % 0.35/0.68 (define @t55 () (@var "VAR_V_123" $$unsorted)) % 0.35/0.68 (define @t56 () (@var "VAR_V_127" $$unsorted)) % 0.35/0.68 (define @t57 () (@var "VAR_V_126" $$unsorted)) % 0.35/0.68 (define @t58 () (@var "VAR_V_131" $$unsorted)) % 0.35/0.68 (define @t59 () (@var "VAR_V_130X30" $$unsorted)) % 0.35/0.68 (define @t60 () (@var "VAR_V_133" $$unsorted)) % 0.35/0.68 (define @t61 () (@var "VAR_V_136" $$unsorted)) % 0.35/0.68 (define @t62 () (tptp.pred_attacker @t61)) % 0.35/0.68 (define @t63 () (tptp.pred_attacker (tptp.tuple_client_B_out_6 @t61))) % 0.35/0.68 (define @t64 () (@list @t61)) % 0.35/0.68 (define @t65 () (forall @t64 (=> @t63 @t62))) % 0.35/0.68 (define @t66 () (@var "VAR_V_139" $$unsorted)) % 0.35/0.68 (define @t67 () (@var "VAR_V_142" $$unsorted)) % 0.35/0.68 (define @t68 () (@var "VAR_V_147" $$unsorted)) % 0.35/0.68 (define @t69 () (@var "VAR_V_146" $$unsorted)) % 0.35/0.68 (define @t70 () (@var "VAR_V_154" $$unsorted)) % 0.35/0.68 (define @t71 () (@var "VAR_V_155" $$unsorted)) % 0.35/0.68 (define @t72 () (@var "VAR_V_158" $$unsorted)) % 0.35/0.68 (define @t73 () (@var "VAR_V_157" $$unsorted)) % 0.35/0.68 (define @t74 () (@var "VAR_V_161" $$unsorted)) % 0.35/0.68 (define @t75 () (tptp.pred_attacker (tptp.tuple_client_B_in_5 @t74))) % 0.35/0.68 (define @t76 () (tptp.pred_attacker @t74)) % 0.35/0.68 (define @t77 () (forall (@list @t74) (=> @t76 @t75))) % 0.35/0.68 (define @t78 () (@var "VAR_V_164" $$unsorted)) % 0.35/0.68 (define @t79 () (@var "VAR_V_167" $$unsorted)) % 0.35/0.68 (define @t80 () (tptp.pred_attacker (tptp.tuple_client_B_in_3 @t79))) % 0.35/0.68 (define @t81 () (tptp.pred_attacker @t79)) % 0.35/0.68 (define @t82 () (forall (@list @t79) (=> @t81 @t80))) % 0.35/0.68 (define @t83 () (@var "VAR_V_170X30" $$unsorted)) % 0.35/0.68 (define @t84 () (@var "VAR_V_173" $$unsorted)) % 0.35/0.68 (define @t85 () (tptp.pred_attacker (tptp.tuple_client_B_in_2 @t84))) % 0.35/0.68 (define @t86 () (tptp.pred_attacker @t84)) % 0.35/0.68 (define @t87 () (forall (@list @t84) (=> @t86 @t85))) % 0.35/0.68 (define @t88 () (@var "VAR_V_176" $$unsorted)) % 0.35/0.68 (define @t89 () (@var "VAR_V_179" $$unsorted)) % 0.35/0.68 (define @t90 () (@var "VAR_V_182" $$unsorted)) % 0.35/0.68 (define @t91 () (@var "VAR_V_185" $$unsorted)) % 0.35/0.68 (define @t92 () (@var "VAR_V_188" $$unsorted)) % 0.35/0.68 (define @t93 () (@var "VAR_V_193" $$unsorted)) % 0.35/0.68 (define @t94 () (@var "VAR_V_192" $$unsorted)) % 0.35/0.68 (define @t95 () (@var "VAR_V_20X300X30" $$unsorted)) % 0.35/0.68 (define @t96 () (@var "VAR_V_20X301" $$unsorted)) % 0.35/0.68 (define @t97 () (@var "VAR_V_20X304" $$unsorted)) % 0.35/0.68 (define @t98 () (@var "VAR_V_20X303" $$unsorted)) % 0.35/0.68 (define @t99 () (@var "VAR_V_20X307" $$unsorted)) % 0.35/0.68 (define @t100 () (@var "VAR_V_210X30" $$unsorted)) % 0.35/0.68 (define @t101 () (@var "VAR_V_213" $$unsorted)) % 0.35/0.68 (define @t102 () (@var "VAR_V_216" $$unsorted)) % 0.35/0.68 (define @t103 () (@var "VAR_V_221" $$unsorted)) % 0.35/0.68 (define @t104 () (@var "VAR_V_220X30" $$unsorted)) % 0.35/0.68 (define @t105 () (@var "VAR_V_225" $$unsorted)) % 0.35/0.68 (define @t106 () (@var "VAR_V_224" $$unsorted)) % 0.35/0.68 (define @t107 () (@var "VAR_V_229" $$unsorted)) % 0.35/0.68 (define @t108 () (@var "VAR_V_228" $$unsorted)) % 0.35/0.68 (define @t109 () (tptp.pred_attacker tptp.constr_CONST_1)) % 0.35/0.68 (define @t110 () (@var "VAR_V_237" $$unsorted)) % 0.35/0.68 (define @t111 () (@var "VAR_V_236" $$unsorted)) % 0.35/0.68 (define @t112 () (@var "VAR_V_244" $$unsorted)) % 0.35/0.68 (define @t113 () (@var "VAR_V_245" $$unsorted)) % 0.35/0.68 (define @t114 () (@var "VAR_V_248" $$unsorted)) % 0.35/0.68 (define @t115 () (@var "VAR_V_247" $$unsorted)) % 0.35/0.68 (define @t116 () (@var "VAR_V_250X30" $$unsorted)) % 0.35/0.68 (define @t117 () (@var "VAR_V_251" $$unsorted)) % 0.35/0.68 (define @t118 () (@var "VAR_V_252" $$unsorted)) % 0.35/0.68 (define @t119 () (@var "VAR_V_253" $$unsorted)) % 0.35/0.68 (define @t120 () (@var "VAR_V_255" $$unsorted)) % 0.35/0.68 (define @t121 () (@var "VAR_V_256" $$unsorted)) % 0.35/0.68 (define @t122 () (tptp.constr_pkey tptp.name_skA)) % 0.35/0.68 (define @t123 () (tptp.constr_pkey tptp.name_skB)) % 0.35/0.68 (define @t124 () (tptp.constr_pkey tptp.name_skS)) % 0.35/0.68 (define @t125 () (@var "VAR_SIGN_I_PKI_375" $$unsorted)) % 0.35/0.68 (define @t126 () (tptp.constr_checksign @t125 @t124)) % 0.35/0.68 (define @t127 () (@var "VAR_0X40SID_376" $$unsorted)) % 0.35/0.68 (define @t128 () (@var "VAR_SIGN_I_PKI_436" $$unsorted)) % 0.35/0.68 (define @t129 () (tptp.constr_checksign @t128 @t124)) % 0.35/0.68 (define @t130 () (@var "VAR_AENC_NA_XOR_I_NI_434" $$unsorted)) % 0.35/0.68 (define @t131 () (tptp.constr_adec @t130 tptp.name_skA)) % 0.35/0.68 (define @t132 () (@var "VAR_0X40SID_435" $$unsorted)) % 0.35/0.68 (define @t133 () (@var "VAR_SIGN_A_PKA_552" $$unsorted)) % 0.35/0.68 (define @t134 () (tptp.constr_checksign @t133 @t124)) % 0.35/0.68 (define @t135 () (@var "VAR_0X40SID_553" $$unsorted)) % 0.35/0.68 (define @t136 () (@var "VAR_AENC_NA_A_551" $$unsorted)) % 0.35/0.68 (define @t137 () (tptp.constr_adec @t136 tptp.name_skB)) % 0.35/0.68 (define @t138 () (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) % 0.35/0.68 (define @t139 () (@var "VAR_SIGN_A_PKA_580X30" $$unsorted)) % 0.35/0.68 (define @t140 () (tptp.pred_attacker (tptp.tuple_client_B_in_2 @t139))) % 0.35/0.68 (define @t141 () (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign @t139 @t124)))) % 0.35/0.68 (define @t142 () (@var "VAR_AENC_NA_A_579" $$unsorted)) % 0.35/0.68 (define @t143 () (tptp.pred_attacker (tptp.tuple_client_B_in_3 @t142))) % 0.35/0.68 (define @t144 () (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 (tptp.constr_adec @t142 tptp.name_skB)))) % 0.35/0.68 (define @t145 () (@var "VAR_AENC_NB_578" $$unsorted)) % 0.35/0.68 (define @t146 () (tptp.pred_attacker (tptp.tuple_client_B_in_5 @t145))) % 0.35/0.68 (define @t147 () (@var "VAR_0X40SID_577" $$unsorted)) % 0.35/0.68 (define @t148 () (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb @t147) (tptp.constr_adec @t145 tptp.name_skB))) % 0.35/0.68 (define @t149 () (and @t148 @t146 @t144 @t143 @t141 @t140)) % 0.35/0.68 (define @t150 () (@list @t147 @t142 @t145 @t139)) % 0.35/0.68 (define @t151 () (forall @t150 (=> @t149 @t138))) % 0.35/0.68 (define @t152 () (@var "VAR_PKDST_620X30" $$unsorted)) % 0.35/0.68 (define @t153 () (@var "VAR_DST_619" $$unsorted)) % 0.35/0.68 (define @t154 () (@var "VAR_SRC_621" $$unsorted)) % 0.35/0.68 (define @t155 () (@var "VAR_PK_674" $$unsorted)) % 0.35/0.68 (define @t156 () (@var "VAR_HOST_673" $$unsorted)) % 0.35/0.68 (define @t157 () (tptp.pred_attacker tptp.name_objective)) % 0.35/0.68 (define @t158 () (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 @t124))) % 0.35/0.68 (define @t159 () (@list tptp.constr_CONST_1)) % 0.35/0.68 (define @t160 () (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))) % 0.35/0.68 (define @t161 () (not @t109)) % 0.35/0.68 (define @t162 () (or @t161 @t160)) % 0.35/0.68 (define @t163 () (@list false false)) % 0.35/0.68 (define @t164 () (not @t160)) % 0.35/0.68 (define @t165 () (tptp.pred_eq_bitstring_bitstring tptp.name_A @t158)) % 0.35/0.68 (define @t166 () (not @t165)) % 0.35/0.68 (define @t167 () (or @t166 @t164)) % 0.35/0.68 (define @t168 () (not @t167)) % 0.35/0.68 (define @t169 () (not @t140)) % 0.35/0.68 (define @t170 () (not @t141)) % 0.35/0.68 (define @t171 () (or @t170 @t169)) % 0.35/0.68 (define @t172 () (forall (@list @t139) @t171)) % 0.35/0.68 (define @t173 () (@list true)) % 0.35/0.68 (define @t174 () (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)) % 0.35/0.68 (define @t175 () (tptp.constr_tuple_2_get_1 @t174)) % 0.35/0.68 (define @t176 () (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))) % 0.35/0.68 (define @t177 () (or @t161 @t176)) % 0.35/0.68 (define @t178 () (not @t176)) % 0.35/0.68 (define @t179 () (tptp.pred_eq_bitstring_bitstring tptp.name_A @t175)) % 0.35/0.68 (define @t180 () (not @t179)) % 0.35/0.68 (define @t181 () (or @t180 @t178)) % 0.35/0.68 (define @t182 () (not @t181)) % 0.35/0.68 (define @t183 () (not @t143)) % 0.35/0.68 (define @t184 () (not @t144)) % 0.35/0.68 (define @t185 () (or @t184 @t183)) % 0.35/0.68 (define @t186 () (forall (@list @t142) @t185)) % 0.35/0.68 (define @t187 () (tptp.name_Nb tptp.constr_CONST_0x30)) % 0.35/0.68 (define @t188 () (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))) % 0.35/0.68 (define @t189 () (or @t161 @t188)) % 0.35/0.68 (define @t190 () (not @t188)) % 0.35/0.68 (define @t191 () (tptp.pred_eq_bitstring_bitstring @t187 @t174)) % 0.35/0.68 (define @t192 () (not @t191)) % 0.35/0.68 (define @t193 () (or @t192 @t190)) % 0.35/0.68 (define @t194 () (not @t193)) % 0.35/0.68 (define @t195 () (not @t146)) % 0.35/0.68 (define @t196 () (not @t148)) % 0.35/0.68 (define @t197 () (or @t196 @t195)) % 0.35/0.68 (define @t198 () (forall (@list @t147 @t145) @t197)) % 0.35/0.68 (define @t199 () (or @t138 @t197 @t185 @t171)) % 0.35/0.68 (define @t200 () (@list @t147 @t145 @t142 @t139)) % 0.35/0.68 (define @t201 () (or @t196 @t195 @t184 @t183 @t170 @t169 @t138)) % 0.35/0.68 (define @t202 () (forall @t200 @t201)) % 0.35/0.68 (define @t203 () (or @t196 @t195 @t184 @t183 @t170 @t169)) % 0.35/0.68 (define @t204 () (not @t138)) % 0.35/0.68 (define @t205 () (or @t204 @t157)) % 0.35/0.68 (define @t206 () (not @t205)) % 0.35/0.68 (define @t207 () (@list true false)) % 0.35/0.68 (define @t208 () (forall @t64 (or (not @t63) @t62))) % 0.35/0.68 (assume @p1 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_1))) % 0.35/0.68 (assume @p2 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_2))) % 0.35/0.68 (assume @p3 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_3))) % 0.35/0.68 (assume @p4 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_4))) % 0.35/0.68 (assume @p5 (not (= tptp.constr_CONST_0x30 tptp.constr_ZERO))) % 0.35/0.68 (assume @p6 (not (= tptp.constr_CONST_0x30 tptp.name_A))) % 0.35/0.68 (assume @p7 (not (= tptp.constr_CONST_0x30 tptp.name_B))) % 0.35/0.68 (assume @p8 (not (= tptp.constr_CONST_0x30 tptp.name_I))) % 0.35/0.68 (assume @p9 (not (= tptp.constr_CONST_0x30 tptp.name_c))) % 0.35/0.68 (assume @p10 (not (= tptp.constr_CONST_0x30 tptp.name_objective))) % 0.35/0.68 (assume @p11 (not (= tptp.constr_CONST_0x30 tptp.name_skA))) % 0.35/0.68 (assume @p12 (not (= tptp.constr_CONST_0x30 tptp.name_skB))) % 0.35/0.68 (assume @p13 (not (= tptp.constr_CONST_0x30 tptp.name_skS))) % 0.35/0.68 (assume @p14 (not (= tptp.constr_CONST_1 tptp.constr_CONST_2))) % 0.35/0.68 (assume @p15 (not (= tptp.constr_CONST_1 tptp.constr_CONST_3))) % 0.35/0.68 (assume @p16 (not (= tptp.constr_CONST_1 tptp.constr_CONST_4))) % 0.35/0.68 (assume @p17 (not (= tptp.constr_CONST_1 tptp.constr_ZERO))) % 0.35/0.68 (assume @p18 (not (= tptp.constr_CONST_1 tptp.name_A))) % 0.35/0.68 (assume @p19 (not (= tptp.constr_CONST_1 tptp.name_B))) % 0.35/0.68 (assume @p20 (not (= tptp.constr_CONST_1 tptp.name_I))) % 0.35/0.68 (assume @p21 (not (= tptp.constr_CONST_1 tptp.name_c))) % 0.35/0.68 (assume @p22 (not (= tptp.constr_CONST_1 tptp.name_objective))) % 0.35/0.68 (assume @p23 (not (= tptp.constr_CONST_1 tptp.name_skA))) % 0.35/0.68 (assume @p24 (not (= tptp.constr_CONST_1 tptp.name_skB))) % 0.35/0.68 (assume @p25 (not (= tptp.constr_CONST_1 tptp.name_skS))) % 0.35/0.68 (assume @p26 (not (= tptp.constr_CONST_2 tptp.constr_CONST_3))) % 0.35/0.68 (assume @p27 (not (= tptp.constr_CONST_2 tptp.constr_CONST_4))) % 0.35/0.68 (assume @p28 (not (= tptp.constr_CONST_2 tptp.constr_ZERO))) % 0.35/0.68 (assume @p29 (not (= tptp.constr_CONST_2 tptp.name_A))) % 0.35/0.68 (assume @p30 (not (= tptp.constr_CONST_2 tptp.name_B))) % 0.35/0.68 (assume @p31 (not (= tptp.constr_CONST_2 tptp.name_I))) % 0.35/0.68 (assume @p32 (not (= tptp.constr_CONST_2 tptp.name_c))) % 0.35/0.68 (assume @p33 (not (= tptp.constr_CONST_2 tptp.name_objective))) % 0.35/0.68 (assume @p34 (not (= tptp.constr_CONST_2 tptp.name_skA))) % 0.35/0.68 (assume @p35 (not (= tptp.constr_CONST_2 tptp.name_skB))) % 0.35/0.68 (assume @p36 (not (= tptp.constr_CONST_2 tptp.name_skS))) % 0.35/0.68 (assume @p37 (not (= tptp.constr_CONST_3 tptp.constr_CONST_4))) % 0.35/0.68 (assume @p38 (not (= tptp.constr_CONST_3 tptp.constr_ZERO))) % 0.35/0.68 (assume @p39 (not (= tptp.constr_CONST_3 tptp.name_A))) % 0.35/0.68 (assume @p40 (not (= tptp.constr_CONST_3 tptp.name_B))) % 0.35/0.68 (assume @p41 (not (= tptp.constr_CONST_3 tptp.name_I))) % 0.35/0.68 (assume @p42 (not (= tptp.constr_CONST_3 tptp.name_c))) % 0.35/0.68 (assume @p43 (not (= tptp.constr_CONST_3 tptp.name_objective))) % 0.35/0.68 (assume @p44 (not (= tptp.constr_CONST_3 tptp.name_skA))) % 0.35/0.68 (assume @p45 (not (= tptp.constr_CONST_3 tptp.name_skB))) % 0.35/0.68 (assume @p46 (not (= tptp.constr_CONST_3 tptp.name_skS))) % 0.35/0.68 (assume @p47 (not (= tptp.constr_CONST_4 tptp.constr_ZERO))) % 0.35/0.68 (assume @p48 (not (= tptp.constr_CONST_4 tptp.name_A))) % 0.35/0.68 (assume @p49 (not (= tptp.constr_CONST_4 tptp.name_B))) % 0.35/0.68 (assume @p50 (not (= tptp.constr_CONST_4 tptp.name_I))) % 0.35/0.68 (assume @p51 (not (= tptp.constr_CONST_4 tptp.name_c))) % 0.35/0.68 (assume @p52 (not (= tptp.constr_CONST_4 tptp.name_objective))) % 0.35/0.68 (assume @p53 (not (= tptp.constr_CONST_4 tptp.name_skA))) % 0.35/0.68 (assume @p54 (not (= tptp.constr_CONST_4 tptp.name_skB))) % 0.35/0.68 (assume @p55 (not (= tptp.constr_CONST_4 tptp.name_skS))) % 0.35/0.68 (assume @p56 (not (= tptp.constr_ZERO tptp.name_A))) % 0.35/0.68 (assume @p57 (not (= tptp.constr_ZERO tptp.name_B))) % 0.35/0.68 (assume @p58 (not (= tptp.constr_ZERO tptp.name_I))) % 0.35/0.68 (assume @p59 (not (= tptp.constr_ZERO tptp.name_c))) % 0.35/0.68 (assume @p60 (not (= tptp.constr_ZERO tptp.name_objective))) % 0.35/0.68 (assume @p61 (not (= tptp.constr_ZERO tptp.name_skA))) % 0.35/0.68 (assume @p62 (not (= tptp.constr_ZERO tptp.name_skB))) % 0.35/0.68 (assume @p63 (not (= tptp.constr_ZERO tptp.name_skS))) % 0.35/0.68 (assume @p64 (not (= tptp.name_A tptp.name_B))) % 0.35/0.68 (assume @p65 (not (= tptp.name_A tptp.name_I))) % 0.35/0.68 (assume @p66 (not (= tptp.name_A tptp.name_c))) % 0.35/0.68 (assume @p67 (not (= tptp.name_A tptp.name_objective))) % 0.35/0.68 (assume @p68 (not (= tptp.name_A tptp.name_skA))) % 0.35/0.68 (assume @p69 (not (= tptp.name_A tptp.name_skB))) % 0.35/0.68 (assume @p70 (not (= tptp.name_A tptp.name_skS))) % 0.35/0.68 (assume @p71 (not (= tptp.name_B tptp.name_I))) % 0.35/0.68 (assume @p72 (not (= tptp.name_B tptp.name_c))) % 0.35/0.68 (assume @p73 (not (= tptp.name_B tptp.name_objective))) % 0.35/0.68 (assume @p74 (not (= tptp.name_B tptp.name_skA))) % 0.35/0.68 (assume @p75 (not (= tptp.name_B tptp.name_skB))) % 0.35/0.68 (assume @p76 (not (= tptp.name_B tptp.name_skS))) % 0.35/0.68 (assume @p77 (not (= tptp.name_I tptp.name_c))) % 0.35/0.68 (assume @p78 (not (= tptp.name_I tptp.name_objective))) % 0.35/0.68 (assume @p79 (not (= tptp.name_I tptp.name_skA))) % 0.35/0.68 (assume @p80 (not (= tptp.name_I tptp.name_skB))) % 0.35/0.68 (assume @p81 (not (= tptp.name_I tptp.name_skS))) % 0.35/0.68 (assume @p82 (not (= tptp.name_c tptp.name_objective))) % 0.35/0.68 (assume @p83 (not (= tptp.name_c tptp.name_skA))) % 0.35/0.68 (assume @p84 (not (= tptp.name_c tptp.name_skB))) % 0.35/0.68 (assume @p85 (not (= tptp.name_c tptp.name_skS))) % 0.35/0.68 (assume @p86 (not (= tptp.name_objective tptp.name_skA))) % 0.35/0.68 (assume @p87 (not (= tptp.name_objective tptp.name_skB))) % 0.35/0.68 (assume @p88 (not (= tptp.name_objective tptp.name_skS))) % 0.35/0.68 (assume @p89 (not (= tptp.name_skA tptp.name_skB))) % 0.35/0.68 (assume @p90 (not (= tptp.name_skA tptp.name_skS))) % 0.35/0.68 (assume @p91 (not (= tptp.name_skB tptp.name_skS))) % 0.35/0.68 (assume @p92 (forall (@list @t2 @t1) (= (tptp.constr_adec (tptp.constr_aenc @t1 (tptp.constr_pkey @t2)) @t2) @t1))) % 0.35/0.68 (assume @p93 (forall (@list @t4 @t3) (= (tptp.constr_dec (tptp.constr_enc @t3 @t4) @t4) @t3))) % 0.35/0.68 (assume @p94 (forall (@list @t6 @t5) (= (tptp.constr_getmess (tptp.constr_sign @t5 @t6)) @t5))) % 0.35/0.68 (assume @p95 (forall (@list @t8 @t7) (= (tptp.constr_checksign (tptp.constr_sign @t7 @t8) (tptp.constr_pkey @t8)) @t7))) % 0.35/0.68 (assume @p96 (forall (@list @t9) (= (tptp.constr_xor @t9 @t9) tptp.constr_ZERO))) % 0.35/0.68 (assume @p97 (forall (@list @t10) (= (tptp.constr_xor @t10 tptp.constr_ZERO) @t10))) % 0.35/0.68 (assume @p98 (forall (@list @t11 @t12) (= (tptp.constr_xor @t11 @t12) (tptp.constr_xor @t12 @t11)))) % 0.35/0.68 (assume @p99 (forall (@list @t15 @t14 @t13) (= (tptp.constr_xor @t15 (tptp.constr_xor @t14 @t13)) (tptp.constr_xor (tptp.constr_xor @t15 @t14) @t13)))) % 0.35/0.68 (assume @p100 (forall (@list @t17 @t16) (= (tptp.constr_tuple_2_get_1_bitstring (tptp.tuple_2 @t17 @t16)) @t16))) % 0.35/0.68 (assume @p101 (forall (@list @t18 @t19) (= (tptp.constr_tuple_2_get_0x30_bitstring (tptp.tuple_2 @t18 @t19)) @t18))) % 0.35/0.68 (assume @p102 (forall (@list @t21 @t20) (= (tptp.constr_tuple_2_get_1 (tptp.tuple_2 @t21 @t20)) @t20))) % 0.35/0.68 (assume @p103 (forall (@list @t22 @t23) (= (tptp.constr_tuple_2_get_0x30 (tptp.tuple_2 @t22 @t23)) @t22))) % 0.35/0.68 (assume @p104 (forall (@list @t25 @t24) (tptp.pred_eq_bitstring_bitstring @t25 @t24))) % 0.35/0.68 (assume @p105 (forall (@list @t27 @t26) (=> (and (tptp.pred_attacker @t27) (tptp.pred_attacker @t26)) (tptp.pred_attacker (tptp.constr_xor @t27 @t26))))) % 0.35/0.68 (assume @p106 (forall (@list @t28) (=> (tptp.pred_attacker @t28) (tptp.pred_attacker (tptp.constr_tuple_2_get_1_bitstring @t28))))) % 0.35/0.68 (assume @p107 (forall (@list @t29) (=> (tptp.pred_attacker @t29) (tptp.pred_attacker (tptp.constr_tuple_2_get_1 @t29))))) % 0.35/0.68 (assume @p108 (forall (@list @t30) (=> (tptp.pred_attacker @t30) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30_bitstring @t30))))) % 0.35/0.68 (assume @p109 (forall (@list @t31) (=> (tptp.pred_attacker @t31) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30 @t31))))) % 0.35/0.68 (assume @p110 (tptp.pred_attacker tptp.tuple_true)) % 0.35/0.68 (assume @p111 (forall (@list @t33 @t32) (=> (and (tptp.pred_attacker @t33) (tptp.pred_attacker @t32)) (tptp.pred_attacker (tptp.constr_sign @t33 @t32))))) % 0.35/0.68 (assume @p112 (forall (@list @t34) (=> (tptp.pred_attacker @t34) (tptp.pred_attacker (tptp.constr_pkey @t34))))) % 0.35/0.68 (assume @p113 (forall (@list @t35) (=> (tptp.pred_attacker @t35) (tptp.pred_attacker (tptp.tuple_out_3 @t35))))) % 0.35/0.68 (assume @p114 (forall (@list @t36) (=> (tptp.pred_attacker (tptp.tuple_out_3 @t36)) (tptp.pred_attacker @t36)))) % 0.35/0.68 (assume @p115 (forall (@list @t37) (=> (tptp.pred_attacker @t37) (tptp.pred_attacker (tptp.tuple_out_2 @t37))))) % 0.35/0.68 (assume @p116 (forall (@list @t38) (=> (tptp.pred_attacker (tptp.tuple_out_2 @t38)) (tptp.pred_attacker @t38)))) % 0.35/0.68 (assume @p117 (forall (@list @t39) (=> (tptp.pred_attacker @t39) (tptp.pred_attacker (tptp.tuple_out_1 @t39))))) % 0.35/0.68 (assume @p118 (forall (@list @t40) (=> (tptp.pred_attacker (tptp.tuple_out_1 @t40)) (tptp.pred_attacker @t40)))) % 0.35/0.68 (assume @p119 (forall (@list @t41) (=> (tptp.pred_attacker @t41) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 @t41))))) % 0.35/0.68 (assume @p120 (forall (@list @t42) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 @t42)) (tptp.pred_attacker @t42)))) % 0.35/0.68 (assume @p121 (forall (@list @t44 @t43) (=> (and (tptp.pred_attacker @t44) (tptp.pred_attacker @t43)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 @t44 @t43))))) % 0.35/0.68 (assume @p122 (forall (@list @t45 @t46) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 @t45 @t46)) (tptp.pred_attacker @t45)))) % 0.35/0.68 (assume @p123 (forall (@list @t48 @t47) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 @t48 @t47)) (tptp.pred_attacker @t47)))) % 0.35/0.68 (assume @p124 (forall (@list @t50 @t49) (=> (and (tptp.pred_attacker @t50) (tptp.pred_attacker @t49)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 @t50 @t49))))) % 0.35/0.68 (assume @p125 (forall (@list @t51 @t52) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 @t51 @t52)) (tptp.pred_attacker @t51)))) % 0.35/0.68 (assume @p126 (forall (@list @t54 @t53) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 @t54 @t53)) (tptp.pred_attacker @t53)))) % 0.35/0.68 (assume @p127 (forall (@list @t55) (=> (tptp.pred_attacker @t55) (tptp.pred_attacker (tptp.constr_getmess @t55))))) % 0.35/0.68 (assume @p128 (tptp.pred_attacker tptp.tuple_false)) % 0.35/0.68 (assume @p129 (forall (@list @t57 @t56) (=> (and (tptp.pred_attacker @t57) (tptp.pred_attacker @t56)) (tptp.pred_attacker (tptp.constr_enc @t57 @t56))))) % 0.35/0.68 (assume @p130 (forall (@list @t59 @t58) (=> (and (tptp.pred_attacker @t59) (tptp.pred_attacker @t58)) (tptp.pred_attacker (tptp.constr_dec @t59 @t58))))) % 0.35/0.68 (assume @p131 (forall (@list @t60) (=> (tptp.pred_attacker @t60) (tptp.pred_attacker (tptp.tuple_client_B_out_6 @t60))))) % 0.35/0.68 (assume @p132 @t65) % 0.35/0.68 (assume @p133 (forall (@list @t66) (=> (tptp.pred_attacker @t66) (tptp.pred_attacker (tptp.tuple_client_B_out_4 @t66))))) % 0.35/0.68 (assume @p134 (forall (@list @t67) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_4 @t67)) (tptp.pred_attacker @t67)))) % 0.35/0.68 (assume @p135 (forall (@list @t69 @t68) (=> (and (tptp.pred_attacker @t69) (tptp.pred_attacker @t68)) (tptp.pred_attacker (tptp.tuple_client_B_out_1 @t69 @t68))))) % 0.35/0.68 (assume @p136 (forall (@list @t70 @t71) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 @t70 @t71)) (tptp.pred_attacker @t70)))) % 0.35/0.68 (assume @p137 (forall (@list @t73 @t72) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 @t73 @t72)) (tptp.pred_attacker @t72)))) % 0.35/0.68 (assume @p138 @t77) % 0.35/0.68 (assume @p139 (forall (@list @t78) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_5 @t78)) (tptp.pred_attacker @t78)))) % 0.35/0.68 (assume @p140 @t82) % 0.35/0.68 (assume @p141 (forall (@list @t83) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_3 @t83)) (tptp.pred_attacker @t83)))) % 0.35/0.68 (assume @p142 @t87) % 0.35/0.68 (assume @p143 (forall (@list @t88) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_2 @t88)) (tptp.pred_attacker @t88)))) % 0.35/0.68 (assume @p144 (forall (@list @t89) (=> (tptp.pred_attacker @t89) (tptp.pred_attacker (tptp.tuple_client_A_out_5 @t89))))) % 0.35/0.68 (assume @p145 (forall (@list @t90) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_5 @t90)) (tptp.pred_attacker @t90)))) % 0.35/0.68 (assume @p146 (forall (@list @t91) (=> (tptp.pred_attacker @t91) (tptp.pred_attacker (tptp.tuple_client_A_out_3 @t91))))) % 0.35/0.68 (assume @p147 (forall (@list @t92) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_3 @t92)) (tptp.pred_attacker @t92)))) % 0.35/0.68 (assume @p148 (forall (@list @t94 @t93) (=> (and (tptp.pred_attacker @t94) (tptp.pred_attacker @t93)) (tptp.pred_attacker (tptp.tuple_client_A_out_1 @t94 @t93))))) % 0.35/0.68 (assume @p149 (forall (@list @t95 @t96) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 @t95 @t96)) (tptp.pred_attacker @t95)))) % 0.35/0.68 (assume @p150 (forall (@list @t98 @t97) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 @t98 @t97)) (tptp.pred_attacker @t97)))) % 0.35/0.68 (assume @p151 (forall (@list @t99) (=> (tptp.pred_attacker @t99) (tptp.pred_attacker (tptp.tuple_client_A_in_4 @t99))))) % 0.35/0.68 (assume @p152 (forall (@list @t100) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_4 @t100)) (tptp.pred_attacker @t100)))) % 0.35/0.68 (assume @p153 (forall (@list @t101) (=> (tptp.pred_attacker @t101) (tptp.pred_attacker (tptp.tuple_client_A_in_2 @t101))))) % 0.35/0.68 (assume @p154 (forall (@list @t102) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_2 @t102)) (tptp.pred_attacker @t102)))) % 0.35/0.68 (assume @p155 (forall (@list @t104 @t103) (=> (and (tptp.pred_attacker @t104) (tptp.pred_attacker @t103)) (tptp.pred_attacker (tptp.constr_checksign @t104 @t103))))) % 0.35/0.68 (assume @p156 (forall (@list @t106 @t105) (=> (and (tptp.pred_attacker @t106) (tptp.pred_attacker @t105)) (tptp.pred_attacker (tptp.constr_aenc @t106 @t105))))) % 0.35/0.68 (assume @p157 (forall (@list @t108 @t107) (=> (and (tptp.pred_attacker @t108) (tptp.pred_attacker @t107)) (tptp.pred_attacker (tptp.constr_adec @t108 @t107))))) % 0.35/0.68 (assume @p158 (tptp.pred_attacker tptp.constr_ZERO)) % 0.35/0.68 (assume @p159 (tptp.pred_attacker tptp.constr_CONST_4)) % 0.35/0.68 (assume @p160 (tptp.pred_attacker tptp.constr_CONST_3)) % 0.35/0.68 (assume @p161 (tptp.pred_attacker tptp.constr_CONST_2)) % 0.35/0.68 (assume @p162 @t109) % 0.35/0.68 (assume @p163 (tptp.pred_attacker tptp.constr_CONST_0x30)) % 0.35/0.68 (assume @p164 (forall (@list @t111 @t110) (=> (and (tptp.pred_attacker @t111) (tptp.pred_attacker @t110)) (tptp.pred_attacker (tptp.tuple_2 @t111 @t110))))) % 0.35/0.68 (assume @p165 (forall (@list @t112 @t113) (=> (tptp.pred_attacker (tptp.tuple_2 @t112 @t113)) (tptp.pred_attacker @t112)))) % 0.35/0.68 (assume @p166 (forall (@list @t115 @t114) (=> (tptp.pred_attacker (tptp.tuple_2 @t115 @t114)) (tptp.pred_attacker @t114)))) % 0.35/0.68 (assume @p167 (forall (@list @t116 @t117) (=> (and (tptp.pred_mess @t117 @t116) (tptp.pred_attacker @t117)) (tptp.pred_attacker @t116)))) % 0.35/0.68 (assume @p168 (forall (@list @t118 @t119) (=> (and (tptp.pred_attacker @t119) (tptp.pred_attacker @t118)) (tptp.pred_mess @t119 @t118)))) % 0.35/0.68 (assume @p169 (tptp.pred_attacker tptp.name_c)) % 0.35/0.68 (assume @p170 (tptp.pred_attacker tptp.name_I)) % 0.35/0.68 (assume @p171 (tptp.pred_attacker tptp.name_B)) % 0.35/0.68 (assume @p172 (tptp.pred_attacker tptp.name_A)) % 0.35/0.68 (assume @p173 (forall (@list @t120) (tptp.pred_equal @t120 @t120))) % 0.35/0.68 (assume @p174 (forall (@list @t121) (tptp.pred_attacker (tptp.name_new0x2Dname @t121)))) % 0.35/0.68 (assume @p175 (tptp.pred_table (tptp.tuple_keys tptp.name_A @t122))) % 0.35/0.68 (assume @p176 (tptp.pred_table (tptp.tuple_keys tptp.name_B @t123))) % 0.35/0.68 (assume @p177 (tptp.pred_attacker (tptp.tuple_out_1 @t122))) % 0.35/0.68 (assume @p178 (tptp.pred_attacker (tptp.tuple_out_2 @t123))) % 0.35/0.68 (assume @p179 (tptp.pred_attacker (tptp.tuple_out_3 @t124))) % 0.35/0.68 (assume @p180 (tptp.pred_attacker (tptp.tuple_client_A_out_1 tptp.name_A tptp.name_I))) % 0.35/0.68 (assume @p181 (forall (@list @t127 @t125) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 @t126)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 @t125))) (tptp.pred_attacker (tptp.tuple_client_A_out_3 (tptp.constr_aenc (tptp.tuple_2 (tptp.name_Na @t127) tptp.name_A) (tptp.constr_tuple_2_get_1_bitstring @t126))))))) % 0.35/0.68 (assume @p182 (forall (@list @t132 @t130 @t128) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_xor (tptp.constr_tuple_2_get_0x30_bitstring @t131) (tptp.name_Na @t132))) (tptp.pred_attacker (tptp.tuple_client_A_in_4 @t130)) (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 @t129)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 @t128))) (tptp.pred_attacker (tptp.tuple_client_A_out_5 (tptp.constr_aenc (tptp.constr_tuple_2_get_1_bitstring @t131) (tptp.constr_tuple_2_get_1_bitstring @t129))))))) % 0.35/0.68 (assume @p183 (tptp.pred_attacker (tptp.tuple_client_B_out_1 tptp.name_B tptp.name_A))) % 0.35/0.68 (assume @p184 (forall (@list @t135 @t136 @t133) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_1 @t137)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 @t136)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 @t134)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 @t133))) (tptp.pred_attacker (tptp.tuple_client_B_out_4 (tptp.constr_aenc (tptp.tuple_2 (tptp.constr_xor (tptp.constr_tuple_2_get_0x30_bitstring @t137) tptp.name_B) (tptp.name_Nb @t135)) (tptp.constr_tuple_2_get_1_bitstring @t134))))))) % 0.35/0.68 (assume @p185 @t151) % 0.35/0.68 (assume @p186 (forall (@list @t153 @t152 @t154) (=> (and (tptp.pred_table (tptp.tuple_keys @t153 @t152)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 @t154 @t153))) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 (tptp.constr_sign (tptp.tuple_2 @t153 @t152) tptp.name_skS)))))) % 0.35/0.68 (assume @p187 (forall (@list @t156 @t155) (=> (and (not (= @t156 tptp.name_B)) (not (= @t156 tptp.name_A)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 @t156 @t155))) (tptp.pred_table (tptp.tuple_keys @t156 @t155))))) % 0.35/0.68 (assume @p188 (not @t157)) % 0.35/0.68 (assume @p189 true) % 0.35/0.68 (step @p190 :rule bool-impl-elim :args (@t63 @t62)) % 0.35/0.68 (step @p191 :rule cong :premises (@p190) :args (@t65)) % 0.35/0.68 (step @p192 :rule eq_resolve :premises (@p132 @p191)) % 0.35/0.68 (step @p193 :rule instantiate :premises (@p104) :args ((@list tptp.name_A @t158))) % 0.35/0.68 (step @p194 :rule bool-impl-elim :args (@t86 @t85)) % 0.35/0.68 (step @p195 :rule cong :premises (@p194) :args (@t87)) % 0.35/0.68 (step @p196 :rule eq_resolve :premises (@p142 @p195)) % 0.35/0.68 (step @p197 :rule instantiate :premises (@p196) :args (@t159)) % 0.35/0.68 (step @p198 :rule cnf_or_pos :args (@t162)) % 0.35/0.68 (step @p199 :rule reordering :premises (@p198) :args ((or @t161 @t160 (not @t162)))) % 0.35/0.68 (step @p200 :rule chain_m_resolution :premises (@p199 @p162 @p197) :args (@t160 @t163 (@list @t109 @t162))) % 0.35/0.68 (step @p201 :rule cnf_or_pos :args (@t167)) % 0.35/0.68 (step @p202 :rule reordering :premises (@p201) :args ((or @t164 @t166 @t168))) % 0.35/0.68 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p193) :args (@t168 @t163 (@list @t160 @t165))) % 0.35/0.68 (assume-push @p287 @t172) % 0.35/0.68 (step @p205 :rule instantiate :premises (@p287) :args (@t159)) % 0.35/0.68 (step-pop @p288 :rule scope :premises (@p205)) % 0.35/0.68 (step @p206 :rule process_scope :premises (@p288) :args (@t167)) % 0.35/0.68 (step @p208 :rule implies_elim :premises (@p206)) % 0.35/0.68 (step @p209 :rule chain_m_resolution :premises (@p208 @p203) :args ((not @t172) @t173 (@list @t167))) % 0.35/0.68 (step @p210 :rule instantiate :premises (@p104) :args ((@list tptp.name_A @t175))) % 0.35/0.68 (step @p211 :rule bool-impl-elim :args (@t81 @t80)) % 0.35/0.68 (step @p212 :rule cong :premises (@p211) :args (@t82)) % 0.35/0.68 (step @p213 :rule eq_resolve :premises (@p140 @p212)) % 0.35/0.68 (step @p214 :rule instantiate :premises (@p213) :args (@t159)) % 0.35/0.68 (step @p215 :rule cnf_or_pos :args (@t177)) % 0.35/0.68 (step @p216 :rule reordering :premises (@p215) :args ((or @t161 @t176 (not @t177)))) % 0.35/0.68 (step @p217 :rule chain_m_resolution :premises (@p216 @p162 @p214) :args (@t176 @t163 (@list @t109 @t177))) % 0.35/0.68 (step @p218 :rule cnf_or_pos :args (@t181)) % 0.35/0.68 (step @p219 :rule reordering :premises (@p218) :args ((or @t178 @t180 @t182))) % 0.35/0.68 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p210) :args (@t182 @t163 (@list @t176 @t179))) % 0.35/0.68 (assume-push @p289 @t186) % 0.35/0.68 (step @p222 :rule instantiate :premises (@p289) :args (@t159)) % 0.35/0.68 (step-pop @p290 :rule scope :premises (@p222)) % 0.35/0.68 (step @p223 :rule process_scope :premises (@p290) :args (@t181)) % 0.35/0.68 (step @p225 :rule implies_elim :premises (@p223)) % 0.35/0.68 (step @p226 :rule chain_m_resolution :premises (@p225 @p220) :args ((not @t186) @t173 (@list @t181))) % 0.35/0.68 (step @p227 :rule instantiate :premises (@p104) :args ((@list @t187 @t174))) % 0.35/0.68 (step @p228 :rule bool-impl-elim :args (@t76 @t75)) % 0.35/0.68 (step @p229 :rule cong :premises (@p228) :args (@t77)) % 0.35/0.68 (step @p230 :rule eq_resolve :premises (@p138 @p229)) % 0.35/0.68 (step @p231 :rule instantiate :premises (@p230) :args (@t159)) % 0.35/0.68 (step @p232 :rule cnf_or_pos :args (@t189)) % 0.35/0.68 (step @p233 :rule reordering :premises (@p232) :args ((or @t161 @t188 (not @t189)))) % 0.35/0.68 (step @p234 :rule chain_m_resolution :premises (@p233 @p162 @p231) :args (@t188 @t163 (@list @t109 @t189))) % 0.35/0.68 (step @p235 :rule cnf_or_pos :args (@t193)) % 0.35/0.68 (step @p236 :rule reordering :premises (@p235) :args ((or @t190 @t192 @t194))) % 0.35/0.68 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p227) :args (@t194 @t163 (@list @t188 @t191))) % 0.35/0.68 (assume-push @p291 @t198) % 0.35/0.68 (step @p239 :rule instantiate :premises (@p291) :args ((@list tptp.constr_CONST_0x30 tptp.constr_CONST_1))) % 0.35/0.68 (step-pop @p292 :rule scope :premises (@p239)) % 0.35/0.68 (step @p240 :rule process_scope :premises (@p292) :args (@t193)) % 0.35/0.68 (step @p242 :rule implies_elim :premises (@p240)) % 0.35/0.68 (step @p243 :rule chain_m_resolution :premises (@p242 @p237) :args ((not @t198) @t173 (@list @t193))) % 0.35/0.68 (step @p244 :rule quant-miniscope-or :args ((= (forall @t200 @t199) (or @t138 @t198 @t186 @t172)))) % 0.35/0.68 (step @p245 :rule aci_norm :args ((= @t201 @t199))) % 0.35/0.68 (step @p246 :rule cong :premises (@p245) :args (@t202)) % 0.35/0.68 (step @p247 :rule quant_var_reordering :args ((= (forall @t150 @t201) @t202))) % 0.35/0.68 (step @p248 :rule trans :premises (@p247 @p246 @p244)) % 0.35/0.68 (step @p249 :rule aci_norm :args ((= (or @t203 @t138) @t201))) % 0.35/0.68 (step @p250 :rule refl :args (@t138)) % 0.35/0.68 (step @p251 :rule aci_norm :args ((= (or @t196 (or @t195 (or @t184 (or @t183 @t171)))) @t203))) % 0.35/0.68 (step @p252 :rule bool-and-de-morgan :args (@t141 @t140 true)) % 0.35/0.68 (step @p253 :rule refl :args (@t183)) % 0.35/0.68 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t183 (not (and @t141 @t140))))) % 0.35/0.68 (step @p255 :rule bool-and-de-morgan :args (@t143 @t141 (and @t140))) % 0.35/0.68 (step @p256 :rule trans :premises (@p255 @p254)) % 0.35/0.68 (step @p257 :rule refl :args (@t184)) % 0.35/0.68 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t184 (not (and @t143 @t141 @t140))))) % 0.35/0.68 (step @p259 :rule bool-and-de-morgan :args (@t144 @t143 (and @t141 @t140))) % 0.35/0.68 (step @p260 :rule trans :premises (@p259 @p258)) % 0.35/0.68 (step @p261 :rule refl :args (@t195)) % 0.35/0.68 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or @t195 (not (and @t144 @t143 @t141 @t140))))) % 0.35/0.68 (step @p263 :rule bool-and-de-morgan :args (@t146 @t144 (and @t143 @t141 @t140))) % 0.35/0.68 (step @p264 :rule trans :premises (@p263 @p262)) % 0.35/0.68 (step @p265 :rule refl :args (@t196)) % 0.35/0.68 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or @t196 (not (and @t146 @t144 @t143 @t141 @t140))))) % 0.35/0.68 (step @p267 :rule bool-and-de-morgan :args (@t148 @t146 (and @t144 @t143 @t141 @t140))) % 0.35/0.68 (step @p268 :rule trans :premises (@p267 @p266)) % 0.35/0.68 (step @p269 :rule trans :premises (@p268 @p251)) % 0.35/0.68 (step @p270 :rule nary_cong :premises (@p269 @p250) :args ((or (not @t149) @t138))) % 0.35/0.68 (step @p271 :rule trans :premises (@p270 @p249)) % 0.35/0.68 (step @p272 :rule bool-impl-elim :args (@t149 @t138)) % 0.35/0.68 (step @p273 :rule trans :premises (@p272 @p271)) % 0.35/0.68 (step @p274 :rule cong :premises (@p273) :args (@t151)) % 0.35/0.68 (step @p275 :rule trans :premises (@p274 @p248)) % 0.35/0.68 (step @p276 :rule eq_resolve :premises (@p185 @p275)) % 0.35/0.68 (step @p277 :rule chain_m_resolution :premises (@p276 @p243 @p226 @p209) :args (@t138 (@list true true true) (@list @t198 @t186 @t172))) % 0.35/0.68 (step @p278 :rule cnf_or_pos :args (@t205)) % 0.35/0.68 (step @p279 :rule reordering :premises (@p278) :args ((or @t157 @t204 @t206))) % 0.35/0.68 (step @p280 :rule chain_m_resolution :premises (@p279 @p188 @p277) :args (@t206 @t207 (@list @t157 @t138))) % 0.35/0.68 (assume-push @p293 @t208) % 0.35/0.68 (step @p282 :rule instantiate :premises (@p192) :args ((@list tptp.name_objective))) % 0.35/0.68 (step-pop @p294 :rule scope :premises (@p282)) % 0.35/0.68 (step @p283 :rule process_scope :premises (@p294) :args (@t205)) % 0.35/0.68 (step @p285 :rule implies_elim :premises (@p283)) % 0.35/0.68 (step @p286 false :rule chain_m_resolution :premises (@p285 @p280 @p192) :args (false @t207 (@list @t205 @t208))) % 0.35/0.68 ) % 0.35/0.68 % SZS output end Proof % 0.35/0.68 % cvc5 exiting %------------------------------------------------------------------------------