%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV299-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n027.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 : 600s % DateTime : Wed Jul 20 20:42:52 EDT 2022 % Result : Unsatisfiable 18.62s 18.61s % Output : Proof 18.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV299-2 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : moca.sh %s % 0.12/0.33 % Computer : n027.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 16 04:19:50 EDT 2022 % 0.12/0.34 % CPUTime : % 18.62/18.61 % SZS status Unsatisfiable % 18.62/18.61 % SZS output start Proof % 18.62/18.61 The input problem is unsatisfiable because % 18.62/18.61 % 18.62/18.61 [1] the following set of Horn clauses is unsatisfiable: % 18.62/18.61 % 18.62/18.61 c_in(v_A, c_Event_Obad, tc_Message_Oagent) ==> \bottom % 18.62/18.61 c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) % 18.62/18.61 c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) % 18.62/18.61 c_in(c_Event_Oevent_OSays(v_Aaa, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) % 18.62/18.61 c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) ==> c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) % 18.62/18.61 c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg) ==> c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg) % 18.62/18.61 c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg) ==> c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) % 18.62/18.61 c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) & c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) & c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) ==> c_in(V_A, c_Event_Obad, tc_Message_Oagent) % 18.62/18.61 % 18.62/18.61 This holds because % 18.62/18.61 % 18.62/18.61 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 18.62/18.61 % 18.62/18.61 E: % 18.62/18.61 c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) = true__ % 18.62/18.61 c_in(c_Event_Oevent_OSays(v_Aaa, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) = true__ % 18.62/18.61 c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) = true__ % 18.62/18.61 f1(c_in(v_A, c_Event_Obad, tc_Message_Oagent)) = true__ % 18.62/18.61 f1(true__) = false__ % 18.62/18.61 f2(c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent), V_X, V_evs) = true__ % 18.62/18.61 f2(true__, V_X, V_evs) = c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) % 18.62/18.61 f3(c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg), V_c, V_H) = true__ % 18.62/18.61 f3(true__, V_c, V_H) = c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg) % 18.62/18.61 f4(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg), V_Y, V_H) = true__ % 18.62/18.61 f4(true__, V_Y, V_H) = c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) % 18.62/18.61 f5(true__, V_A) = c_in(V_A, c_Event_Obad, tc_Message_Oagent) % 18.62/18.61 f6(true__, V_evs, V_A) = f5(c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), V_A) % 18.62/18.61 f7(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_A, V_NA_H, V_NA, V_A_H, V_evs) = true__ % 18.62/18.61 f7(true__, V_A, V_NA_H, V_NA, V_A_H, V_evs) = f6(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_evs, V_A) % 18.62/18.61 G: % 18.62/18.61 true__ = false__ % 18.62/18.61 % 18.62/18.61 This holds because % 18.62/18.61 % 18.62/18.61 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 18.62/18.61 % 18.62/18.61 % 18.62/18.61 c_in(V_A, c_Event_Obad, tc_Message_Oagent) -> f5(true__, V_A) % 18.62/18.61 c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) -> f4(true__, V_Y, V_H) % 18.62/18.61 c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg) -> f3(true__, V_c, V_H) % 18.62/18.61 c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) -> true__ % 18.62/18.61 c_in(c_Event_Oevent_OSays(v_Aaa, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) -> true__ % 18.62/18.61 c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) -> true__ % 18.62/18.61 f1(c_in(v_A, c_Event_Obad, tc_Message_Oagent)) -> true__ % 18.62/18.61 f1(f5(true__, v_A)) -> true__ % 18.62/18.61 f1(f6(true__, v_evs3, v_A)) -> true__ % 18.62/18.61 f1(true__) -> false__ % 18.62/18.61 f2(c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent), V_X, V_evs) -> true__ % 18.62/18.61 f2(true__, V_X, V_evs) -> c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) % 18.62/18.61 f3(c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg), V_c, V_H) -> true__ % 18.62/18.61 f3(f4(true__, Y0, Y1), Y0, Y1) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f3(true__, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg), V_Y, V_H) -> true__ % 18.62/18.61 f4(f4(true__, c_Message_Omsg_OMPair(Y0, Y1), Y2), Y1, Y2) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f4(true__, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 18.62/18.61 f5(c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), V_A) -> f6(true__, V_evs, V_A) % 18.62/18.61 f5(true__, Y1) -> f6(true__, v_evs3, Y1) % 18.62/18.61 f6(f3(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(Y4, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y5), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), v_evs3, v_A) -> true__ % 18.62/18.61 f6(true__, v_evs3, v_A) -> true__ % 18.62/18.61 f7(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_A, V_NA_H, V_NA, V_A_H, V_evs) -> true__ % 18.62/18.61 f7(f3(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(Y0), c_Message_Omsg_OMPair(Y1, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y0), c_Message_Omsg_OAgent(Y2)))), c_Event_Oknows(c_Message_Oagent_OSpy, Y3)), Y0, Y4, Y1, Y5, Y3) -> true__ % 18.62/18.61 f7(true__, V_A, V_NA_H, V_NA, V_A_H, V_evs) -> f6(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_evs, V_A) % 18.62/18.61 false__ -> true__ % 18.62/18.61 with the LPO induced by % 18.62/18.61 f7 > c_Message_Oparts > f2 > c_Message_Oagent_OSpy > tc_Message_Omsg > v_A > c_in > f5 > f3 > f4 > c_Event_Obad > f6 > tc_Event_Oevent > c_OtwayRees_Ootway > tc_Message_Oagent > c_Event_Oknows > c_Message_Oanalz > v_Aa > v_NA > c_Message_Oagent_OServer > v_Aaa > c_Public_OshrK > c_List_Oset > c_Message_Omsg_OCrypt > c_Message_Omsg_OAgent > v_NB > c_Message_Omsg_ONonce > c_Message_Omsg_OMPair > v_B > c_Event_Oevent_OSays > tc_List_Olist > v_evs3 > f1 > false__ > true__ % 18.62/18.61 % 18.62/18.61 % SZS output end Proof % 18.62/18.61 %------------------------------------------------------------------------------