%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW961+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 : n015.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 09:05:52 AM UTC 2026 % Result : Theorem 0.36s 0.67s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW961+1 : TPTP v9.2.1. Released v7.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:51:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.67 % SZS status Theorem % 0.36/0.67 % SZS output start Proof % 0.36/0.67 ( % 0.36/0.67 (declare-sort $$unsorted 0) % 0.36/0.67 (declare-const tptp.name_Nb (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.name_Na (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.pred_table (-> $$unsorted Bool)) % 0.36/0.67 (declare-const tptp.pred_mess (-> $$unsorted $$unsorted Bool)) % 0.36/0.67 (declare-const tptp.tuple_client_A_in_2 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_client_A_out_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_client_B_in_2 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.name_new0x2Dname (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_false $$unsorted) % 0.36/0.67 (declare-const tptp.tuple_key_register_server_in_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_key_retrieval_server_out_2 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_out_1 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_out_2 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_client_B_out_4 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_true $$unsorted) % 0.36/0.67 (declare-const tptp.tuple_client_B_out_6 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.pred_attacker (-> $$unsorted Bool)) % 0.36/0.67 (declare-const tptp.pred_eq_bitstring_bitstring (-> $$unsorted $$unsorted Bool)) % 0.36/0.67 (declare-const tptp.name_skS $$unsorted) % 0.36/0.67 (declare-const tptp.constr_assoc_pair_2_get_1 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.name_skB $$unsorted) % 0.36/0.67 (declare-const tptp.name_skA $$unsorted) % 0.36/0.67 (declare-const tptp.tuple_client_B_in_3 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_adec (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.name_objective $$unsorted) % 0.36/0.67 (declare-const tptp.name_c $$unsorted) % 0.36/0.67 (declare-const tptp.tuple_key_retrieval_server_in_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_tuple_2_get_1_bitstring (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_client_B_out_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.name_A $$unsorted) % 0.36/0.67 (declare-const tptp.constr_assoc_pair_2_get_0x30 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_CONST_4 $$unsorted) % 0.36/0.67 (declare-const tptp.constr_CONST_2 $$unsorted) % 0.36/0.67 (declare-const tptp.constr_dec (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_CONST_3 $$unsorted) % 0.36/0.67 (declare-const tptp.tuple_client_B_in_5 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_CONST_1 $$unsorted) % 0.36/0.67 (declare-const tptp.tuple_assoc_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_client_A_out_3 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_CONST_0x30 $$unsorted) % 0.36/0.67 (declare-const tptp.name_I $$unsorted) % 0.36/0.67 (declare-const tptp.name_B $$unsorted) % 0.36/0.67 (declare-const tptp.constr_getmess (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_aenc (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_client_A_in_4 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_checksign (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_enc (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.pred_equal (-> $$unsorted $$unsorted Bool)) % 0.36/0.67 (declare-const tptp.constr_sign (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_assoc_pair_2_get_1_bitstring (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_pkey (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_assoc_pair_2_get_0x30_bitstring (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_out_3 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_keys (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.tuple_client_A_out_5 (-> $$unsorted $$unsorted)) % 0.36/0.67 (declare-const tptp.constr_tuple_2_get_0x30 (-> $$unsorted $$unsorted)) % 0.36/0.67 (define @t1 () (@var "VAR_M_23" $$unsorted)) % 0.36/0.67 (define @t2 () (@var "VAR_K_24" $$unsorted)) % 0.36/0.67 (define @t3 () (@var "VAR_M_21" $$unsorted)) % 0.36/0.67 (define @t4 () (@var "VAR_K_22" $$unsorted)) % 0.36/0.67 (define @t5 () (@var "VAR_M_19" $$unsorted)) % 0.36/0.67 (define @t6 () (@var "VAR_K_20X30" $$unsorted)) % 0.36/0.67 (define @t7 () (@var "VAR_M_0X30" $$unsorted)) % 0.36/0.67 (define @t8 () (@var "VAR_K_0X30" $$unsorted)) % 0.36/0.67 (define @t9 () (@var "VAR_Z_0X30" $$unsorted)) % 0.36/0.67 (define @t10 () (@var "VAR_Y_18" $$unsorted)) % 0.36/0.67 (define @t11 () (@var "VAR_X_17" $$unsorted)) % 0.36/0.67 (define @t12 () (@var "VAR_X1_16" $$unsorted)) % 0.36/0.67 (define @t13 () (@var "VAR_X0X30_15" $$unsorted)) % 0.36/0.67 (define @t14 () (@var "VAR_X0X30_13" $$unsorted)) % 0.36/0.67 (define @t15 () (@var "VAR_X1_14" $$unsorted)) % 0.36/0.67 (define @t16 () (@var "VAR_X1_12" $$unsorted)) % 0.36/0.67 (define @t17 () (@var "VAR_X0X30_11" $$unsorted)) % 0.36/0.67 (define @t18 () (@var "VAR_X0X30_9" $$unsorted)) % 0.36/0.67 (define @t19 () (@var "VAR_X1_10X30" $$unsorted)) % 0.36/0.67 (define @t20 () (@var "VAR_X1_8" $$unsorted)) % 0.36/0.67 (define @t21 () (@var "VAR_X0X30_7" $$unsorted)) % 0.36/0.67 (define @t22 () (@var "VAR_X0X30_0X30" $$unsorted)) % 0.36/0.67 (define @t23 () (@var "VAR_X1_0X30" $$unsorted)) % 0.36/0.67 (define @t24 () (@var "VAR_Y_42" $$unsorted)) % 0.36/0.67 (define @t25 () (@var "VAR_X_41" $$unsorted)) % 0.36/0.67 (define @t26 () (@var "VAR_V_48" $$unsorted)) % 0.36/0.67 (define @t27 () (@var "VAR_V_50X30" $$unsorted)) % 0.36/0.67 (define @t28 () (@var "VAR_V_54" $$unsorted)) % 0.36/0.67 (define @t29 () (@var "VAR_V_53" $$unsorted)) % 0.36/0.67 (define @t30 () (@var "VAR_V_56" $$unsorted)) % 0.36/0.67 (define @t31 () (@var "VAR_V_58" $$unsorted)) % 0.36/0.67 (define @t32 () (@var "VAR_V_61" $$unsorted)) % 0.36/0.67 (define @t33 () (@var "VAR_V_64" $$unsorted)) % 0.36/0.67 (define @t34 () (@var "VAR_V_67" $$unsorted)) % 0.36/0.67 (define @t35 () (@var "VAR_V_70X30" $$unsorted)) % 0.36/0.67 (define @t36 () (@var "VAR_V_73" $$unsorted)) % 0.36/0.67 (define @t37 () (@var "VAR_V_77" $$unsorted)) % 0.36/0.67 (define @t38 () (@var "VAR_V_80X30" $$unsorted)) % 0.36/0.67 (define @t39 () (@var "VAR_V_85" $$unsorted)) % 0.36/0.67 (define @t40 () (@var "VAR_V_84" $$unsorted)) % 0.36/0.67 (define @t41 () (@var "VAR_V_92" $$unsorted)) % 0.36/0.67 (define @t42 () (@var "VAR_V_93" $$unsorted)) % 0.36/0.67 (define @t43 () (@var "VAR_V_96" $$unsorted)) % 0.36/0.67 (define @t44 () (@var "VAR_V_95" $$unsorted)) % 0.36/0.67 (define @t45 () (@var "VAR_V_10X301" $$unsorted)) % 0.36/0.67 (define @t46 () (@var "VAR_V_10X300X30" $$unsorted)) % 0.36/0.67 (define @t47 () (@var "VAR_V_10X308" $$unsorted)) % 0.36/0.67 (define @t48 () (@var "VAR_V_10X309" $$unsorted)) % 0.36/0.67 (define @t49 () (@var "VAR_V_112" $$unsorted)) % 0.36/0.67 (define @t50 () (@var "VAR_V_111" $$unsorted)) % 0.36/0.67 (define @t51 () (@var "VAR_V_115" $$unsorted)) % 0.36/0.67 (define @t52 () (@var "VAR_V_119" $$unsorted)) % 0.36/0.67 (define @t53 () (@var "VAR_V_118" $$unsorted)) % 0.36/0.67 (define @t54 () (@var "VAR_V_123" $$unsorted)) % 0.36/0.67 (define @t55 () (@var "VAR_V_122" $$unsorted)) % 0.36/0.67 (define @t56 () (@var "VAR_V_125" $$unsorted)) % 0.36/0.67 (define @t57 () (@var "VAR_V_128" $$unsorted)) % 0.36/0.67 (define @t58 () (tptp.pred_attacker @t57)) % 0.36/0.67 (define @t59 () (tptp.pred_attacker (tptp.tuple_client_B_out_6 @t57))) % 0.36/0.67 (define @t60 () (@list @t57)) % 0.36/0.67 (define @t61 () (forall @t60 (=> @t59 @t58))) % 0.36/0.67 (define @t62 () (@var "VAR_V_131" $$unsorted)) % 0.36/0.67 (define @t63 () (@var "VAR_V_134" $$unsorted)) % 0.36/0.67 (define @t64 () (@var "VAR_V_139" $$unsorted)) % 0.36/0.67 (define @t65 () (@var "VAR_V_138" $$unsorted)) % 0.36/0.67 (define @t66 () (@var "VAR_V_146" $$unsorted)) % 0.36/0.67 (define @t67 () (@var "VAR_V_147" $$unsorted)) % 0.36/0.67 (define @t68 () (@var "VAR_V_150X30" $$unsorted)) % 0.36/0.67 (define @t69 () (@var "VAR_V_149" $$unsorted)) % 0.36/0.67 (define @t70 () (@var "VAR_V_153" $$unsorted)) % 0.36/0.67 (define @t71 () (tptp.pred_attacker (tptp.tuple_client_B_in_5 @t70))) % 0.36/0.67 (define @t72 () (tptp.pred_attacker @t70)) % 0.36/0.67 (define @t73 () (forall (@list @t70) (=> @t72 @t71))) % 0.36/0.67 (define @t74 () (@var "VAR_V_156" $$unsorted)) % 0.36/0.67 (define @t75 () (@var "VAR_V_159" $$unsorted)) % 0.36/0.67 (define @t76 () (tptp.pred_attacker (tptp.tuple_client_B_in_3 @t75))) % 0.36/0.67 (define @t77 () (tptp.pred_attacker @t75)) % 0.36/0.67 (define @t78 () (forall (@list @t75) (=> @t77 @t76))) % 0.36/0.67 (define @t79 () (@var "VAR_V_162" $$unsorted)) % 0.36/0.67 (define @t80 () (@var "VAR_V_165" $$unsorted)) % 0.36/0.67 (define @t81 () (tptp.pred_attacker (tptp.tuple_client_B_in_2 @t80))) % 0.36/0.67 (define @t82 () (tptp.pred_attacker @t80)) % 0.36/0.67 (define @t83 () (forall (@list @t80) (=> @t82 @t81))) % 0.36/0.67 (define @t84 () (@var "VAR_V_168" $$unsorted)) % 0.36/0.67 (define @t85 () (@var "VAR_V_171" $$unsorted)) % 0.36/0.67 (define @t86 () (@var "VAR_V_174" $$unsorted)) % 0.36/0.67 (define @t87 () (@var "VAR_V_177" $$unsorted)) % 0.36/0.67 (define @t88 () (@var "VAR_V_180X30" $$unsorted)) % 0.36/0.67 (define @t89 () (@var "VAR_V_185" $$unsorted)) % 0.36/0.67 (define @t90 () (@var "VAR_V_184" $$unsorted)) % 0.36/0.67 (define @t91 () (@var "VAR_V_192" $$unsorted)) % 0.36/0.67 (define @t92 () (@var "VAR_V_193" $$unsorted)) % 0.36/0.67 (define @t93 () (@var "VAR_V_196" $$unsorted)) % 0.36/0.67 (define @t94 () (@var "VAR_V_195" $$unsorted)) % 0.36/0.67 (define @t95 () (@var "VAR_V_199" $$unsorted)) % 0.36/0.67 (define @t96 () (@var "VAR_V_20X302" $$unsorted)) % 0.36/0.67 (define @t97 () (@var "VAR_V_20X305" $$unsorted)) % 0.36/0.67 (define @t98 () (@var "VAR_V_20X308" $$unsorted)) % 0.36/0.67 (define @t99 () (@var "VAR_V_213" $$unsorted)) % 0.36/0.67 (define @t100 () (@var "VAR_V_212" $$unsorted)) % 0.36/0.67 (define @t101 () (@var "VAR_V_215" $$unsorted)) % 0.36/0.67 (define @t102 () (@var "VAR_V_217" $$unsorted)) % 0.36/0.67 (define @t103 () (@var "VAR_V_219" $$unsorted)) % 0.36/0.67 (define @t104 () (@var "VAR_V_221" $$unsorted)) % 0.36/0.67 (define @t105 () (@var "VAR_V_225" $$unsorted)) % 0.36/0.67 (define @t106 () (@var "VAR_V_224" $$unsorted)) % 0.36/0.67 (define @t107 () (@var "VAR_V_232" $$unsorted)) % 0.36/0.67 (define @t108 () (@var "VAR_V_233" $$unsorted)) % 0.36/0.67 (define @t109 () (@var "VAR_V_236" $$unsorted)) % 0.36/0.67 (define @t110 () (@var "VAR_V_235" $$unsorted)) % 0.36/0.67 (define @t111 () (@var "VAR_V_241" $$unsorted)) % 0.36/0.67 (define @t112 () (@var "VAR_V_240X30" $$unsorted)) % 0.36/0.67 (define @t113 () (@var "VAR_V_245" $$unsorted)) % 0.36/0.67 (define @t114 () (@var "VAR_V_244" $$unsorted)) % 0.36/0.67 (define @t115 () (tptp.pred_attacker tptp.constr_CONST_1)) % 0.36/0.67 (define @t116 () (@var "VAR_V_253" $$unsorted)) % 0.36/0.67 (define @t117 () (@var "VAR_V_252" $$unsorted)) % 0.36/0.67 (define @t118 () (@var "VAR_V_260X30" $$unsorted)) % 0.36/0.67 (define @t119 () (@var "VAR_V_261" $$unsorted)) % 0.36/0.67 (define @t120 () (@var "VAR_V_264" $$unsorted)) % 0.36/0.67 (define @t121 () (@var "VAR_V_263" $$unsorted)) % 0.36/0.67 (define @t122 () (@var "VAR_V_266" $$unsorted)) % 0.36/0.67 (define @t123 () (@var "VAR_V_267" $$unsorted)) % 0.36/0.67 (define @t124 () (@var "VAR_V_268" $$unsorted)) % 0.36/0.67 (define @t125 () (@var "VAR_V_269" $$unsorted)) % 0.36/0.67 (define @t126 () (@var "VAR_V_271" $$unsorted)) % 0.36/0.67 (define @t127 () (@var "VAR_V_272" $$unsorted)) % 0.36/0.67 (define @t128 () (tptp.constr_pkey tptp.name_skA)) % 0.36/0.67 (define @t129 () (tptp.constr_pkey tptp.name_skB)) % 0.36/0.67 (define @t130 () (tptp.constr_pkey tptp.name_skS)) % 0.36/0.67 (define @t131 () (@var "VAR_SIGN_I_PKI_391" $$unsorted)) % 0.36/0.67 (define @t132 () (tptp.constr_checksign @t131 @t130)) % 0.36/0.67 (define @t133 () (@var "VAR_0X40SID_392" $$unsorted)) % 0.36/0.67 (define @t134 () (@var "VAR_SIGN_I_PKI_464" $$unsorted)) % 0.36/0.67 (define @t135 () (tptp.constr_checksign @t134 @t130)) % 0.36/0.67 (define @t136 () (@var "VAR_AENC_NA_NI_I_462" $$unsorted)) % 0.36/0.67 (define @t137 () (tptp.constr_adec @t136 tptp.name_skA)) % 0.36/0.67 (define @t138 () (tptp.constr_assoc_pair_2_get_1_bitstring @t137)) % 0.36/0.67 (define @t139 () (@var "VAR_0X40SID_463" $$unsorted)) % 0.36/0.67 (define @t140 () (@var "VAR_SIGN_A_PKA_580X30" $$unsorted)) % 0.36/0.67 (define @t141 () (tptp.constr_checksign @t140 @t130)) % 0.36/0.67 (define @t142 () (@var "VAR_0X40SID_581" $$unsorted)) % 0.36/0.67 (define @t143 () (@var "VAR_AENC_NA_A_579" $$unsorted)) % 0.36/0.67 (define @t144 () (tptp.constr_adec @t143 tptp.name_skB)) % 0.36/0.67 (define @t145 () (tptp.pred_attacker (tptp.tuple_client_B_out_6 tptp.name_objective))) % 0.36/0.67 (define @t146 () (@var "VAR_SIGN_A_PKA_60X308" $$unsorted)) % 0.36/0.67 (define @t147 () (tptp.pred_attacker (tptp.tuple_client_B_in_2 @t146))) % 0.36/0.67 (define @t148 () (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign @t146 @t130)))) % 0.36/0.67 (define @t149 () (@var "VAR_AENC_NA_A_60X307" $$unsorted)) % 0.36/0.67 (define @t150 () (tptp.pred_attacker (tptp.tuple_client_B_in_3 @t149))) % 0.36/0.67 (define @t151 () (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_assoc_pair_2_get_1 (tptp.constr_adec @t149 tptp.name_skB)))) % 0.36/0.67 (define @t152 () (@var "VAR_AENC_NB_60X306" $$unsorted)) % 0.36/0.67 (define @t153 () (tptp.pred_attacker (tptp.tuple_client_B_in_5 @t152))) % 0.36/0.67 (define @t154 () (@var "VAR_0X40SID_60X305" $$unsorted)) % 0.36/0.67 (define @t155 () (tptp.pred_eq_bitstring_bitstring (tptp.name_Nb @t154) (tptp.constr_adec @t152 tptp.name_skB))) % 0.36/0.67 (define @t156 () (and @t155 @t153 @t151 @t150 @t148 @t147)) % 0.36/0.67 (define @t157 () (@list @t154 @t149 @t152 @t146)) % 0.36/0.67 (define @t158 () (forall @t157 (=> @t156 @t145))) % 0.36/0.67 (define @t159 () (@var "VAR_PKDST_648" $$unsorted)) % 0.36/0.67 (define @t160 () (@var "VAR_DST_647" $$unsorted)) % 0.36/0.67 (define @t161 () (@var "VAR_SRC_649" $$unsorted)) % 0.36/0.67 (define @t162 () (@var "VAR_PK_70X302" $$unsorted)) % 0.36/0.67 (define @t163 () (@var "VAR_HOST_70X301" $$unsorted)) % 0.36/0.67 (define @t164 () (tptp.pred_attacker tptp.name_objective)) % 0.36/0.67 (define @t165 () (tptp.constr_tuple_2_get_0x30 (tptp.constr_checksign tptp.constr_CONST_1 @t130))) % 0.36/0.67 (define @t166 () (@list tptp.constr_CONST_1)) % 0.36/0.67 (define @t167 () (tptp.pred_attacker (tptp.tuple_client_B_in_2 tptp.constr_CONST_1))) % 0.36/0.67 (define @t168 () (not @t115)) % 0.36/0.67 (define @t169 () (or @t168 @t167)) % 0.36/0.67 (define @t170 () (@list false false)) % 0.36/0.67 (define @t171 () (not @t167)) % 0.36/0.67 (define @t172 () (tptp.pred_eq_bitstring_bitstring tptp.name_A @t165)) % 0.36/0.67 (define @t173 () (not @t172)) % 0.36/0.67 (define @t174 () (or @t173 @t171)) % 0.36/0.67 (define @t175 () (not @t174)) % 0.36/0.67 (define @t176 () (not @t147)) % 0.36/0.67 (define @t177 () (not @t148)) % 0.36/0.67 (define @t178 () (or @t177 @t176)) % 0.36/0.67 (define @t179 () (forall (@list @t146) @t178)) % 0.36/0.67 (define @t180 () (@list true)) % 0.36/0.67 (define @t181 () (tptp.constr_adec tptp.constr_CONST_1 tptp.name_skB)) % 0.36/0.67 (define @t182 () (tptp.constr_assoc_pair_2_get_1 @t181)) % 0.36/0.67 (define @t183 () (tptp.pred_attacker (tptp.tuple_client_B_in_3 tptp.constr_CONST_1))) % 0.36/0.67 (define @t184 () (or @t168 @t183)) % 0.36/0.67 (define @t185 () (not @t183)) % 0.36/0.67 (define @t186 () (tptp.pred_eq_bitstring_bitstring tptp.name_A @t182)) % 0.36/0.67 (define @t187 () (not @t186)) % 0.36/0.67 (define @t188 () (or @t187 @t185)) % 0.36/0.67 (define @t189 () (not @t188)) % 0.36/0.67 (define @t190 () (not @t150)) % 0.36/0.67 (define @t191 () (not @t151)) % 0.36/0.67 (define @t192 () (or @t191 @t190)) % 0.36/0.67 (define @t193 () (forall (@list @t149) @t192)) % 0.36/0.67 (define @t194 () (tptp.name_Nb tptp.constr_CONST_0x30)) % 0.36/0.67 (define @t195 () (tptp.pred_attacker (tptp.tuple_client_B_in_5 tptp.constr_CONST_1))) % 0.36/0.67 (define @t196 () (or @t168 @t195)) % 0.36/0.67 (define @t197 () (not @t195)) % 0.36/0.67 (define @t198 () (tptp.pred_eq_bitstring_bitstring @t194 @t181)) % 0.36/0.67 (define @t199 () (not @t198)) % 0.36/0.67 (define @t200 () (or @t199 @t197)) % 0.36/0.67 (define @t201 () (not @t200)) % 0.36/0.67 (define @t202 () (not @t153)) % 0.36/0.67 (define @t203 () (not @t155)) % 0.36/0.67 (define @t204 () (or @t203 @t202)) % 0.36/0.67 (define @t205 () (forall (@list @t154 @t152) @t204)) % 0.36/0.67 (define @t206 () (or @t145 @t204 @t192 @t178)) % 0.36/0.67 (define @t207 () (@list @t154 @t152 @t149 @t146)) % 0.36/0.67 (define @t208 () (or @t203 @t202 @t191 @t190 @t177 @t176 @t145)) % 0.36/0.67 (define @t209 () (forall @t207 @t208)) % 0.36/0.67 (define @t210 () (or @t203 @t202 @t191 @t190 @t177 @t176)) % 0.36/0.67 (define @t211 () (not @t145)) % 0.36/0.67 (define @t212 () (or @t211 @t164)) % 0.36/0.67 (define @t213 () (not @t212)) % 0.36/0.67 (define @t214 () (@list true false)) % 0.36/0.67 (define @t215 () (forall @t60 (or (not @t59) @t58))) % 0.36/0.67 (assume @p1 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_1))) % 0.36/0.67 (assume @p2 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_2))) % 0.36/0.67 (assume @p3 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_3))) % 0.36/0.67 (assume @p4 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_4))) % 0.36/0.67 (assume @p5 (not (= tptp.constr_CONST_0x30 tptp.name_A))) % 0.36/0.67 (assume @p6 (not (= tptp.constr_CONST_0x30 tptp.name_B))) % 0.36/0.67 (assume @p7 (not (= tptp.constr_CONST_0x30 tptp.name_I))) % 0.36/0.67 (assume @p8 (not (= tptp.constr_CONST_0x30 tptp.name_c))) % 0.36/0.67 (assume @p9 (not (= tptp.constr_CONST_0x30 tptp.name_objective))) % 0.36/0.67 (assume @p10 (not (= tptp.constr_CONST_0x30 tptp.name_skA))) % 0.36/0.67 (assume @p11 (not (= tptp.constr_CONST_0x30 tptp.name_skB))) % 0.36/0.67 (assume @p12 (not (= tptp.constr_CONST_0x30 tptp.name_skS))) % 0.36/0.67 (assume @p13 (not (= tptp.constr_CONST_1 tptp.constr_CONST_2))) % 0.36/0.67 (assume @p14 (not (= tptp.constr_CONST_1 tptp.constr_CONST_3))) % 0.36/0.67 (assume @p15 (not (= tptp.constr_CONST_1 tptp.constr_CONST_4))) % 0.36/0.67 (assume @p16 (not (= tptp.constr_CONST_1 tptp.name_A))) % 0.36/0.67 (assume @p17 (not (= tptp.constr_CONST_1 tptp.name_B))) % 0.36/0.67 (assume @p18 (not (= tptp.constr_CONST_1 tptp.name_I))) % 0.36/0.67 (assume @p19 (not (= tptp.constr_CONST_1 tptp.name_c))) % 0.36/0.67 (assume @p20 (not (= tptp.constr_CONST_1 tptp.name_objective))) % 0.36/0.67 (assume @p21 (not (= tptp.constr_CONST_1 tptp.name_skA))) % 0.36/0.67 (assume @p22 (not (= tptp.constr_CONST_1 tptp.name_skB))) % 0.36/0.67 (assume @p23 (not (= tptp.constr_CONST_1 tptp.name_skS))) % 0.36/0.67 (assume @p24 (not (= tptp.constr_CONST_2 tptp.constr_CONST_3))) % 0.36/0.67 (assume @p25 (not (= tptp.constr_CONST_2 tptp.constr_CONST_4))) % 0.36/0.67 (assume @p26 (not (= tptp.constr_CONST_2 tptp.name_A))) % 0.36/0.67 (assume @p27 (not (= tptp.constr_CONST_2 tptp.name_B))) % 0.36/0.67 (assume @p28 (not (= tptp.constr_CONST_2 tptp.name_I))) % 0.36/0.67 (assume @p29 (not (= tptp.constr_CONST_2 tptp.name_c))) % 0.36/0.67 (assume @p30 (not (= tptp.constr_CONST_2 tptp.name_objective))) % 0.36/0.67 (assume @p31 (not (= tptp.constr_CONST_2 tptp.name_skA))) % 0.36/0.67 (assume @p32 (not (= tptp.constr_CONST_2 tptp.name_skB))) % 0.36/0.67 (assume @p33 (not (= tptp.constr_CONST_2 tptp.name_skS))) % 0.36/0.67 (assume @p34 (not (= tptp.constr_CONST_3 tptp.constr_CONST_4))) % 0.36/0.67 (assume @p35 (not (= tptp.constr_CONST_3 tptp.name_A))) % 0.36/0.67 (assume @p36 (not (= tptp.constr_CONST_3 tptp.name_B))) % 0.36/0.67 (assume @p37 (not (= tptp.constr_CONST_3 tptp.name_I))) % 0.36/0.67 (assume @p38 (not (= tptp.constr_CONST_3 tptp.name_c))) % 0.36/0.67 (assume @p39 (not (= tptp.constr_CONST_3 tptp.name_objective))) % 0.36/0.67 (assume @p40 (not (= tptp.constr_CONST_3 tptp.name_skA))) % 0.36/0.67 (assume @p41 (not (= tptp.constr_CONST_3 tptp.name_skB))) % 0.36/0.67 (assume @p42 (not (= tptp.constr_CONST_3 tptp.name_skS))) % 0.36/0.67 (assume @p43 (not (= tptp.constr_CONST_4 tptp.name_A))) % 0.36/0.67 (assume @p44 (not (= tptp.constr_CONST_4 tptp.name_B))) % 0.36/0.67 (assume @p45 (not (= tptp.constr_CONST_4 tptp.name_I))) % 0.36/0.67 (assume @p46 (not (= tptp.constr_CONST_4 tptp.name_c))) % 0.36/0.67 (assume @p47 (not (= tptp.constr_CONST_4 tptp.name_objective))) % 0.36/0.67 (assume @p48 (not (= tptp.constr_CONST_4 tptp.name_skA))) % 0.36/0.67 (assume @p49 (not (= tptp.constr_CONST_4 tptp.name_skB))) % 0.36/0.67 (assume @p50 (not (= tptp.constr_CONST_4 tptp.name_skS))) % 0.36/0.67 (assume @p51 (not (= tptp.name_A tptp.name_B))) % 0.36/0.67 (assume @p52 (not (= tptp.name_A tptp.name_I))) % 0.36/0.67 (assume @p53 (not (= tptp.name_A tptp.name_c))) % 0.36/0.67 (assume @p54 (not (= tptp.name_A tptp.name_objective))) % 0.36/0.67 (assume @p55 (not (= tptp.name_A tptp.name_skA))) % 0.36/0.67 (assume @p56 (not (= tptp.name_A tptp.name_skB))) % 0.36/0.67 (assume @p57 (not (= tptp.name_A tptp.name_skS))) % 0.36/0.67 (assume @p58 (not (= tptp.name_B tptp.name_I))) % 0.36/0.67 (assume @p59 (not (= tptp.name_B tptp.name_c))) % 0.36/0.67 (assume @p60 (not (= tptp.name_B tptp.name_objective))) % 0.36/0.67 (assume @p61 (not (= tptp.name_B tptp.name_skA))) % 0.36/0.67 (assume @p62 (not (= tptp.name_B tptp.name_skB))) % 0.36/0.67 (assume @p63 (not (= tptp.name_B tptp.name_skS))) % 0.36/0.67 (assume @p64 (not (= tptp.name_I tptp.name_c))) % 0.36/0.67 (assume @p65 (not (= tptp.name_I tptp.name_objective))) % 0.36/0.67 (assume @p66 (not (= tptp.name_I tptp.name_skA))) % 0.36/0.67 (assume @p67 (not (= tptp.name_I tptp.name_skB))) % 0.36/0.67 (assume @p68 (not (= tptp.name_I tptp.name_skS))) % 0.36/0.67 (assume @p69 (not (= tptp.name_c tptp.name_objective))) % 0.36/0.67 (assume @p70 (not (= tptp.name_c tptp.name_skA))) % 0.36/0.67 (assume @p71 (not (= tptp.name_c tptp.name_skB))) % 0.36/0.67 (assume @p72 (not (= tptp.name_c tptp.name_skS))) % 0.36/0.67 (assume @p73 (not (= tptp.name_objective tptp.name_skA))) % 0.36/0.67 (assume @p74 (not (= tptp.name_objective tptp.name_skB))) % 0.36/0.67 (assume @p75 (not (= tptp.name_objective tptp.name_skS))) % 0.36/0.67 (assume @p76 (not (= tptp.name_skA tptp.name_skB))) % 0.36/0.67 (assume @p77 (not (= tptp.name_skA tptp.name_skS))) % 0.36/0.67 (assume @p78 (not (= tptp.name_skB tptp.name_skS))) % 0.36/0.67 (assume @p79 (forall (@list @t2 @t1) (= (tptp.constr_adec (tptp.constr_aenc @t1 (tptp.constr_pkey @t2)) @t2) @t1))) % 0.36/0.67 (assume @p80 (forall (@list @t4 @t3) (= (tptp.constr_dec (tptp.constr_enc @t3 @t4) @t4) @t3))) % 0.36/0.67 (assume @p81 (forall (@list @t6 @t5) (= (tptp.constr_getmess (tptp.constr_sign @t5 @t6)) @t5))) % 0.36/0.67 (assume @p82 (forall (@list @t8 @t7) (= (tptp.constr_checksign (tptp.constr_sign @t7 @t8) (tptp.constr_pkey @t8)) @t7))) % 0.36/0.67 (assume @p83 (forall (@list @t11 @t10 @t9) (= (tptp.tuple_assoc_pair @t11 (tptp.tuple_assoc_pair @t10 @t9)) (tptp.tuple_assoc_pair (tptp.tuple_assoc_pair @t11 @t10) @t9)))) % 0.36/0.67 (assume @p84 (forall (@list @t13 @t12) (= (tptp.constr_assoc_pair_2_get_1_bitstring (tptp.tuple_assoc_pair @t13 @t12)) @t12))) % 0.36/0.67 (assume @p85 (forall (@list @t14 @t15) (= (tptp.constr_assoc_pair_2_get_0x30_bitstring (tptp.tuple_assoc_pair @t14 @t15)) @t14))) % 0.36/0.67 (assume @p86 (forall (@list @t17 @t16) (= (tptp.constr_assoc_pair_2_get_1 (tptp.tuple_assoc_pair @t17 @t16)) @t16))) % 0.36/0.67 (assume @p87 (forall (@list @t18 @t19) (= (tptp.constr_assoc_pair_2_get_0x30 (tptp.tuple_assoc_pair @t18 @t19)) @t18))) % 0.36/0.67 (assume @p88 (forall (@list @t21 @t20) (= (tptp.constr_tuple_2_get_1_bitstring (tptp.tuple_2 @t21 @t20)) @t20))) % 0.36/0.67 (assume @p89 (forall (@list @t22 @t23) (= (tptp.constr_tuple_2_get_0x30 (tptp.tuple_2 @t22 @t23)) @t22))) % 0.36/0.67 (assume @p90 (forall (@list @t25 @t24) (tptp.pred_eq_bitstring_bitstring @t25 @t24))) % 0.36/0.67 (assume @p91 (forall (@list @t26) (=> (tptp.pred_attacker @t26) (tptp.pred_attacker (tptp.constr_tuple_2_get_1_bitstring @t26))))) % 0.36/0.67 (assume @p92 (forall (@list @t27) (=> (tptp.pred_attacker @t27) (tptp.pred_attacker (tptp.constr_tuple_2_get_0x30 @t27))))) % 0.36/0.67 (assume @p93 (tptp.pred_attacker tptp.tuple_true)) % 0.36/0.67 (assume @p94 (forall (@list @t29 @t28) (=> (and (tptp.pred_attacker @t29) (tptp.pred_attacker @t28)) (tptp.pred_attacker (tptp.constr_sign @t29 @t28))))) % 0.36/0.67 (assume @p95 (forall (@list @t30) (=> (tptp.pred_attacker @t30) (tptp.pred_attacker (tptp.constr_pkey @t30))))) % 0.36/0.67 (assume @p96 (forall (@list @t31) (=> (tptp.pred_attacker @t31) (tptp.pred_attacker (tptp.tuple_out_3 @t31))))) % 0.36/0.67 (assume @p97 (forall (@list @t32) (=> (tptp.pred_attacker (tptp.tuple_out_3 @t32)) (tptp.pred_attacker @t32)))) % 0.36/0.67 (assume @p98 (forall (@list @t33) (=> (tptp.pred_attacker @t33) (tptp.pred_attacker (tptp.tuple_out_2 @t33))))) % 0.36/0.67 (assume @p99 (forall (@list @t34) (=> (tptp.pred_attacker (tptp.tuple_out_2 @t34)) (tptp.pred_attacker @t34)))) % 0.36/0.67 (assume @p100 (forall (@list @t35) (=> (tptp.pred_attacker @t35) (tptp.pred_attacker (tptp.tuple_out_1 @t35))))) % 0.36/0.67 (assume @p101 (forall (@list @t36) (=> (tptp.pred_attacker (tptp.tuple_out_1 @t36)) (tptp.pred_attacker @t36)))) % 0.36/0.67 (assume @p102 (forall (@list @t37) (=> (tptp.pred_attacker @t37) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 @t37))))) % 0.36/0.67 (assume @p103 (forall (@list @t38) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 @t38)) (tptp.pred_attacker @t38)))) % 0.36/0.67 (assume @p104 (forall (@list @t40 @t39) (=> (and (tptp.pred_attacker @t40) (tptp.pred_attacker @t39)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 @t40 @t39))))) % 0.36/0.67 (assume @p105 (forall (@list @t41 @t42) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 @t41 @t42)) (tptp.pred_attacker @t41)))) % 0.36/0.67 (assume @p106 (forall (@list @t44 @t43) (=> (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 @t44 @t43)) (tptp.pred_attacker @t43)))) % 0.36/0.67 (assume @p107 (forall (@list @t46 @t45) (=> (and (tptp.pred_attacker @t46) (tptp.pred_attacker @t45)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 @t46 @t45))))) % 0.36/0.67 (assume @p108 (forall (@list @t47 @t48) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 @t47 @t48)) (tptp.pred_attacker @t47)))) % 0.36/0.67 (assume @p109 (forall (@list @t50 @t49) (=> (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 @t50 @t49)) (tptp.pred_attacker @t49)))) % 0.36/0.67 (assume @p110 (forall (@list @t51) (=> (tptp.pred_attacker @t51) (tptp.pred_attacker (tptp.constr_getmess @t51))))) % 0.36/0.67 (assume @p111 (tptp.pred_attacker tptp.tuple_false)) % 0.36/0.67 (assume @p112 (forall (@list @t53 @t52) (=> (and (tptp.pred_attacker @t53) (tptp.pred_attacker @t52)) (tptp.pred_attacker (tptp.constr_enc @t53 @t52))))) % 0.36/0.67 (assume @p113 (forall (@list @t55 @t54) (=> (and (tptp.pred_attacker @t55) (tptp.pred_attacker @t54)) (tptp.pred_attacker (tptp.constr_dec @t55 @t54))))) % 0.36/0.67 (assume @p114 (forall (@list @t56) (=> (tptp.pred_attacker @t56) (tptp.pred_attacker (tptp.tuple_client_B_out_6 @t56))))) % 0.36/0.67 (assume @p115 @t61) % 0.36/0.67 (assume @p116 (forall (@list @t62) (=> (tptp.pred_attacker @t62) (tptp.pred_attacker (tptp.tuple_client_B_out_4 @t62))))) % 0.36/0.67 (assume @p117 (forall (@list @t63) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_4 @t63)) (tptp.pred_attacker @t63)))) % 0.36/0.67 (assume @p118 (forall (@list @t65 @t64) (=> (and (tptp.pred_attacker @t65) (tptp.pred_attacker @t64)) (tptp.pred_attacker (tptp.tuple_client_B_out_1 @t65 @t64))))) % 0.36/0.67 (assume @p119 (forall (@list @t66 @t67) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 @t66 @t67)) (tptp.pred_attacker @t66)))) % 0.36/0.67 (assume @p120 (forall (@list @t69 @t68) (=> (tptp.pred_attacker (tptp.tuple_client_B_out_1 @t69 @t68)) (tptp.pred_attacker @t68)))) % 0.36/0.67 (assume @p121 @t73) % 0.36/0.67 (assume @p122 (forall (@list @t74) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_5 @t74)) (tptp.pred_attacker @t74)))) % 0.36/0.67 (assume @p123 @t78) % 0.36/0.67 (assume @p124 (forall (@list @t79) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_3 @t79)) (tptp.pred_attacker @t79)))) % 0.36/0.67 (assume @p125 @t83) % 0.36/0.67 (assume @p126 (forall (@list @t84) (=> (tptp.pred_attacker (tptp.tuple_client_B_in_2 @t84)) (tptp.pred_attacker @t84)))) % 0.36/0.67 (assume @p127 (forall (@list @t85) (=> (tptp.pred_attacker @t85) (tptp.pred_attacker (tptp.tuple_client_A_out_5 @t85))))) % 0.36/0.67 (assume @p128 (forall (@list @t86) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_5 @t86)) (tptp.pred_attacker @t86)))) % 0.36/0.67 (assume @p129 (forall (@list @t87) (=> (tptp.pred_attacker @t87) (tptp.pred_attacker (tptp.tuple_client_A_out_3 @t87))))) % 0.36/0.67 (assume @p130 (forall (@list @t88) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_3 @t88)) (tptp.pred_attacker @t88)))) % 0.36/0.67 (assume @p131 (forall (@list @t90 @t89) (=> (and (tptp.pred_attacker @t90) (tptp.pred_attacker @t89)) (tptp.pred_attacker (tptp.tuple_client_A_out_1 @t90 @t89))))) % 0.36/0.67 (assume @p132 (forall (@list @t91 @t92) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 @t91 @t92)) (tptp.pred_attacker @t91)))) % 0.36/0.67 (assume @p133 (forall (@list @t94 @t93) (=> (tptp.pred_attacker (tptp.tuple_client_A_out_1 @t94 @t93)) (tptp.pred_attacker @t93)))) % 0.36/0.67 (assume @p134 (forall (@list @t95) (=> (tptp.pred_attacker @t95) (tptp.pred_attacker (tptp.tuple_client_A_in_4 @t95))))) % 0.36/0.67 (assume @p135 (forall (@list @t96) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_4 @t96)) (tptp.pred_attacker @t96)))) % 0.36/0.67 (assume @p136 (forall (@list @t97) (=> (tptp.pred_attacker @t97) (tptp.pred_attacker (tptp.tuple_client_A_in_2 @t97))))) % 0.36/0.67 (assume @p137 (forall (@list @t98) (=> (tptp.pred_attacker (tptp.tuple_client_A_in_2 @t98)) (tptp.pred_attacker @t98)))) % 0.36/0.67 (assume @p138 (forall (@list @t100 @t99) (=> (and (tptp.pred_attacker @t100) (tptp.pred_attacker @t99)) (tptp.pred_attacker (tptp.constr_checksign @t100 @t99))))) % 0.36/0.67 (assume @p139 (forall (@list @t101) (=> (tptp.pred_attacker @t101) (tptp.pred_attacker (tptp.constr_assoc_pair_2_get_1_bitstring @t101))))) % 0.36/0.67 (assume @p140 (forall (@list @t102) (=> (tptp.pred_attacker @t102) (tptp.pred_attacker (tptp.constr_assoc_pair_2_get_1 @t102))))) % 0.36/0.67 (assume @p141 (forall (@list @t103) (=> (tptp.pred_attacker @t103) (tptp.pred_attacker (tptp.constr_assoc_pair_2_get_0x30_bitstring @t103))))) % 0.36/0.67 (assume @p142 (forall (@list @t104) (=> (tptp.pred_attacker @t104) (tptp.pred_attacker (tptp.constr_assoc_pair_2_get_0x30 @t104))))) % 0.36/0.67 (assume @p143 (forall (@list @t106 @t105) (=> (and (tptp.pred_attacker @t106) (tptp.pred_attacker @t105)) (tptp.pred_attacker (tptp.tuple_assoc_pair @t106 @t105))))) % 0.36/0.67 (assume @p144 (forall (@list @t107 @t108) (=> (tptp.pred_attacker (tptp.tuple_assoc_pair @t107 @t108)) (tptp.pred_attacker @t107)))) % 0.36/0.67 (assume @p145 (forall (@list @t110 @t109) (=> (tptp.pred_attacker (tptp.tuple_assoc_pair @t110 @t109)) (tptp.pred_attacker @t109)))) % 0.36/0.67 (assume @p146 (forall (@list @t112 @t111) (=> (and (tptp.pred_attacker @t112) (tptp.pred_attacker @t111)) (tptp.pred_attacker (tptp.constr_aenc @t112 @t111))))) % 0.36/0.67 (assume @p147 (forall (@list @t114 @t113) (=> (and (tptp.pred_attacker @t114) (tptp.pred_attacker @t113)) (tptp.pred_attacker (tptp.constr_adec @t114 @t113))))) % 0.36/0.67 (assume @p148 (tptp.pred_attacker tptp.constr_CONST_4)) % 0.36/0.67 (assume @p149 (tptp.pred_attacker tptp.constr_CONST_3)) % 0.36/0.67 (assume @p150 (tptp.pred_attacker tptp.constr_CONST_2)) % 0.36/0.67 (assume @p151 @t115) % 0.36/0.67 (assume @p152 (tptp.pred_attacker tptp.constr_CONST_0x30)) % 0.36/0.67 (assume @p153 (forall (@list @t117 @t116) (=> (and (tptp.pred_attacker @t117) (tptp.pred_attacker @t116)) (tptp.pred_attacker (tptp.tuple_2 @t117 @t116))))) % 0.36/0.67 (assume @p154 (forall (@list @t118 @t119) (=> (tptp.pred_attacker (tptp.tuple_2 @t118 @t119)) (tptp.pred_attacker @t118)))) % 0.36/0.67 (assume @p155 (forall (@list @t121 @t120) (=> (tptp.pred_attacker (tptp.tuple_2 @t121 @t120)) (tptp.pred_attacker @t120)))) % 0.36/0.67 (assume @p156 (forall (@list @t122 @t123) (=> (and (tptp.pred_mess @t123 @t122) (tptp.pred_attacker @t123)) (tptp.pred_attacker @t122)))) % 0.36/0.67 (assume @p157 (forall (@list @t124 @t125) (=> (and (tptp.pred_attacker @t125) (tptp.pred_attacker @t124)) (tptp.pred_mess @t125 @t124)))) % 0.36/0.67 (assume @p158 (tptp.pred_attacker tptp.name_c)) % 0.36/0.67 (assume @p159 (tptp.pred_attacker tptp.name_I)) % 0.36/0.67 (assume @p160 (tptp.pred_attacker tptp.name_B)) % 0.36/0.67 (assume @p161 (tptp.pred_attacker tptp.name_A)) % 0.36/0.67 (assume @p162 (forall (@list @t126) (tptp.pred_equal @t126 @t126))) % 0.36/0.67 (assume @p163 (forall (@list @t127) (tptp.pred_attacker (tptp.name_new0x2Dname @t127)))) % 0.36/0.67 (assume @p164 (tptp.pred_table (tptp.tuple_keys tptp.name_A @t128))) % 0.36/0.67 (assume @p165 (tptp.pred_table (tptp.tuple_keys tptp.name_B @t129))) % 0.36/0.67 (assume @p166 (tptp.pred_attacker (tptp.tuple_out_1 @t128))) % 0.36/0.67 (assume @p167 (tptp.pred_attacker (tptp.tuple_out_2 @t129))) % 0.36/0.67 (assume @p168 (tptp.pred_attacker (tptp.tuple_out_3 @t130))) % 0.36/0.67 (assume @p169 (tptp.pred_attacker (tptp.tuple_client_A_out_1 tptp.name_A tptp.name_I))) % 0.36/0.67 (assume @p170 (forall (@list @t133 @t131) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 @t132)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 @t131))) (tptp.pred_attacker (tptp.tuple_client_A_out_3 (tptp.constr_aenc (tptp.tuple_assoc_pair (tptp.name_Na @t133) tptp.name_A) (tptp.constr_tuple_2_get_1_bitstring @t132))))))) % 0.36/0.67 (assume @p171 (forall (@list @t139 @t136 @t134) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_assoc_pair_2_get_1 @t138)) (tptp.pred_eq_bitstring_bitstring (tptp.name_Na @t139) (tptp.constr_assoc_pair_2_get_0x30 @t137)) (tptp.pred_attacker (tptp.tuple_client_A_in_4 @t136)) (tptp.pred_eq_bitstring_bitstring tptp.name_I (tptp.constr_tuple_2_get_0x30 @t135)) (tptp.pred_attacker (tptp.tuple_client_A_in_2 @t134))) (tptp.pred_attacker (tptp.tuple_client_A_out_5 (tptp.constr_aenc (tptp.constr_assoc_pair_2_get_0x30_bitstring @t138) (tptp.constr_tuple_2_get_1_bitstring @t135))))))) % 0.36/0.67 (assume @p172 (tptp.pred_attacker (tptp.tuple_client_B_out_1 tptp.name_B tptp.name_A))) % 0.36/0.67 (assume @p173 (forall (@list @t142 @t143 @t140) (=> (and (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_assoc_pair_2_get_1 @t144)) (tptp.pred_attacker (tptp.tuple_client_B_in_3 @t143)) (tptp.pred_eq_bitstring_bitstring tptp.name_A (tptp.constr_tuple_2_get_0x30 @t141)) (tptp.pred_attacker (tptp.tuple_client_B_in_2 @t140))) (tptp.pred_attacker (tptp.tuple_client_B_out_4 (tptp.constr_aenc (tptp.tuple_assoc_pair (tptp.constr_assoc_pair_2_get_0x30_bitstring @t144) (tptp.tuple_assoc_pair (tptp.name_Nb @t142) tptp.name_B)) (tptp.constr_tuple_2_get_1_bitstring @t141))))))) % 0.36/0.67 (assume @p174 @t158) % 0.36/0.67 (assume @p175 (forall (@list @t160 @t159 @t161) (=> (and (tptp.pred_table (tptp.tuple_keys @t160 @t159)) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_in_1 @t161 @t160))) (tptp.pred_attacker (tptp.tuple_key_retrieval_server_out_2 (tptp.constr_sign (tptp.tuple_2 @t160 @t159) tptp.name_skS)))))) % 0.36/0.67 (assume @p176 (forall (@list @t163 @t162) (=> (and (not (= @t163 tptp.name_B)) (not (= @t163 tptp.name_A)) (tptp.pred_attacker (tptp.tuple_key_register_server_in_1 @t163 @t162))) (tptp.pred_table (tptp.tuple_keys @t163 @t162))))) % 0.36/0.67 (assume @p177 (not @t164)) % 0.36/0.67 (assume @p178 true) % 0.36/0.67 (step @p179 :rule bool-impl-elim :args (@t59 @t58)) % 0.36/0.67 (step @p180 :rule cong :premises (@p179) :args (@t61)) % 0.36/0.67 (step @p181 :rule eq_resolve :premises (@p115 @p180)) % 0.36/0.67 (step @p182 :rule instantiate :premises (@p90) :args ((@list tptp.name_A @t165))) % 0.36/0.67 (step @p183 :rule bool-impl-elim :args (@t82 @t81)) % 0.36/0.67 (step @p184 :rule cong :premises (@p183) :args (@t83)) % 0.36/0.67 (step @p185 :rule eq_resolve :premises (@p125 @p184)) % 0.36/0.67 (step @p186 :rule instantiate :premises (@p185) :args (@t166)) % 0.36/0.67 (step @p187 :rule cnf_or_pos :args (@t169)) % 0.36/0.67 (step @p188 :rule reordering :premises (@p187) :args ((or @t168 @t167 (not @t169)))) % 0.36/0.67 (step @p189 :rule chain_m_resolution :premises (@p188 @p151 @p186) :args (@t167 @t170 (@list @t115 @t169))) % 0.36/0.67 (step @p190 :rule cnf_or_pos :args (@t174)) % 0.36/0.67 (step @p191 :rule reordering :premises (@p190) :args ((or @t171 @t173 @t175))) % 0.36/0.67 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p182) :args (@t175 @t170 (@list @t167 @t172))) % 0.36/0.67 (assume-push @p276 @t179) % 0.36/0.67 (step @p194 :rule instantiate :premises (@p276) :args (@t166)) % 0.36/0.67 (step-pop @p277 :rule scope :premises (@p194)) % 0.36/0.67 (step @p195 :rule process_scope :premises (@p277) :args (@t174)) % 0.36/0.67 (step @p197 :rule implies_elim :premises (@p195)) % 0.36/0.67 (step @p198 :rule chain_m_resolution :premises (@p197 @p192) :args ((not @t179) @t180 (@list @t174))) % 0.36/0.67 (step @p199 :rule instantiate :premises (@p90) :args ((@list tptp.name_A @t182))) % 0.36/0.67 (step @p200 :rule bool-impl-elim :args (@t77 @t76)) % 0.36/0.67 (step @p201 :rule cong :premises (@p200) :args (@t78)) % 0.36/0.67 (step @p202 :rule eq_resolve :premises (@p123 @p201)) % 0.36/0.67 (step @p203 :rule instantiate :premises (@p202) :args (@t166)) % 0.36/0.67 (step @p204 :rule cnf_or_pos :args (@t184)) % 0.36/0.67 (step @p205 :rule reordering :premises (@p204) :args ((or @t168 @t183 (not @t184)))) % 0.36/0.67 (step @p206 :rule chain_m_resolution :premises (@p205 @p151 @p203) :args (@t183 @t170 (@list @t115 @t184))) % 0.36/0.67 (step @p207 :rule cnf_or_pos :args (@t188)) % 0.36/0.67 (step @p208 :rule reordering :premises (@p207) :args ((or @t185 @t187 @t189))) % 0.36/0.67 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p199) :args (@t189 @t170 (@list @t183 @t186))) % 0.36/0.67 (assume-push @p278 @t193) % 0.36/0.67 (step @p211 :rule instantiate :premises (@p278) :args (@t166)) % 0.36/0.67 (step-pop @p279 :rule scope :premises (@p211)) % 0.36/0.67 (step @p212 :rule process_scope :premises (@p279) :args (@t188)) % 0.36/0.67 (step @p214 :rule implies_elim :premises (@p212)) % 0.36/0.67 (step @p215 :rule chain_m_resolution :premises (@p214 @p209) :args ((not @t193) @t180 (@list @t188))) % 0.36/0.67 (step @p216 :rule instantiate :premises (@p90) :args ((@list @t194 @t181))) % 0.36/0.67 (step @p217 :rule bool-impl-elim :args (@t72 @t71)) % 0.36/0.67 (step @p218 :rule cong :premises (@p217) :args (@t73)) % 0.36/0.67 (step @p219 :rule eq_resolve :premises (@p121 @p218)) % 0.36/0.67 (step @p220 :rule instantiate :premises (@p219) :args (@t166)) % 0.36/0.67 (step @p221 :rule cnf_or_pos :args (@t196)) % 0.36/0.67 (step @p222 :rule reordering :premises (@p221) :args ((or @t168 @t195 (not @t196)))) % 0.36/0.67 (step @p223 :rule chain_m_resolution :premises (@p222 @p151 @p220) :args (@t195 @t170 (@list @t115 @t196))) % 0.36/0.67 (step @p224 :rule cnf_or_pos :args (@t200)) % 0.36/0.67 (step @p225 :rule reordering :premises (@p224) :args ((or @t197 @t199 @t201))) % 0.36/0.67 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p216) :args (@t201 @t170 (@list @t195 @t198))) % 0.36/0.67 (assume-push @p280 @t205) % 0.36/0.67 (step @p228 :rule instantiate :premises (@p280) :args ((@list tptp.constr_CONST_0x30 tptp.constr_CONST_1))) % 0.36/0.67 (step-pop @p281 :rule scope :premises (@p228)) % 0.36/0.67 (step @p229 :rule process_scope :premises (@p281) :args (@t200)) % 0.36/0.67 (step @p231 :rule implies_elim :premises (@p229)) % 0.36/0.67 (step @p232 :rule chain_m_resolution :premises (@p231 @p226) :args ((not @t205) @t180 (@list @t200))) % 0.36/0.67 (step @p233 :rule quant-miniscope-or :args ((= (forall @t207 @t206) (or @t145 @t205 @t193 @t179)))) % 0.36/0.67 (step @p234 :rule aci_norm :args ((= @t208 @t206))) % 0.36/0.67 (step @p235 :rule cong :premises (@p234) :args (@t209)) % 0.36/0.67 (step @p236 :rule quant_var_reordering :args ((= (forall @t157 @t208) @t209))) % 0.36/0.67 (step @p237 :rule trans :premises (@p236 @p235 @p233)) % 0.36/0.67 (step @p238 :rule aci_norm :args ((= (or @t210 @t145) @t208))) % 0.36/0.67 (step @p239 :rule refl :args (@t145)) % 0.36/0.67 (step @p240 :rule aci_norm :args ((= (or @t203 (or @t202 (or @t191 (or @t190 @t178)))) @t210))) % 0.36/0.67 (step @p241 :rule bool-and-de-morgan :args (@t148 @t147 true)) % 0.36/0.67 (step @p242 :rule refl :args (@t190)) % 0.36/0.67 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t190 (not (and @t148 @t147))))) % 0.36/0.67 (step @p244 :rule bool-and-de-morgan :args (@t150 @t148 (and @t147))) % 0.36/0.67 (step @p245 :rule trans :premises (@p244 @p243)) % 0.36/0.67 (step @p246 :rule refl :args (@t191)) % 0.36/0.67 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or @t191 (not (and @t150 @t148 @t147))))) % 0.36/0.67 (step @p248 :rule bool-and-de-morgan :args (@t151 @t150 (and @t148 @t147))) % 0.36/0.67 (step @p249 :rule trans :premises (@p248 @p247)) % 0.36/0.67 (step @p250 :rule refl :args (@t202)) % 0.36/0.67 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or @t202 (not (and @t151 @t150 @t148 @t147))))) % 0.36/0.67 (step @p252 :rule bool-and-de-morgan :args (@t153 @t151 (and @t150 @t148 @t147))) % 0.36/0.67 (step @p253 :rule trans :premises (@p252 @p251)) % 0.36/0.67 (step @p254 :rule refl :args (@t203)) % 0.36/0.67 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or @t203 (not (and @t153 @t151 @t150 @t148 @t147))))) % 0.36/0.67 (step @p256 :rule bool-and-de-morgan :args (@t155 @t153 (and @t151 @t150 @t148 @t147))) % 0.36/0.67 (step @p257 :rule trans :premises (@p256 @p255)) % 0.36/0.67 (step @p258 :rule trans :premises (@p257 @p240)) % 0.36/0.67 (step @p259 :rule nary_cong :premises (@p258 @p239) :args ((or (not @t156) @t145))) % 0.36/0.67 (step @p260 :rule trans :premises (@p259 @p238)) % 0.36/0.67 (step @p261 :rule bool-impl-elim :args (@t156 @t145)) % 0.36/0.67 (step @p262 :rule trans :premises (@p261 @p260)) % 0.36/0.67 (step @p263 :rule cong :premises (@p262) :args (@t158)) % 0.36/0.67 (step @p264 :rule trans :premises (@p263 @p237)) % 0.36/0.67 (step @p265 :rule eq_resolve :premises (@p174 @p264)) % 0.36/0.67 (step @p266 :rule chain_m_resolution :premises (@p265 @p232 @p215 @p198) :args (@t145 (@list true true true) (@list @t205 @t193 @t179))) % 0.36/0.67 (step @p267 :rule cnf_or_pos :args (@t212)) % 0.36/0.67 (step @p268 :rule reordering :premises (@p267) :args ((or @t164 @t211 @t213))) % 0.36/0.67 (step @p269 :rule chain_m_resolution :premises (@p268 @p177 @p266) :args (@t213 @t214 (@list @t164 @t145))) % 0.36/0.67 (assume-push @p282 @t215) % 0.36/0.67 (step @p271 :rule instantiate :premises (@p181) :args ((@list tptp.name_objective))) % 0.36/0.67 (step-pop @p283 :rule scope :premises (@p271)) % 0.36/0.67 (step @p272 :rule process_scope :premises (@p283) :args (@t212)) % 0.36/0.67 (step @p274 :rule implies_elim :premises (@p272)) % 0.36/0.67 (step @p275 false :rule chain_m_resolution :premises (@p274 @p269 @p181) :args (false @t214 (@list @t212 @t215))) % 0.36/0.67 ) % 0.36/0.67 % SZS output end Proof % 0.36/0.67 % cvc5 exiting %------------------------------------------------------------------------------