%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV357-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n023.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 20:43:31 EDT 2022 % Result : Unsatisfiable 1.13s 1.24s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SWV357-2 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.14 % Command : moca.sh %s % 0.14/0.36 % Computer : n023.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Thu Jun 16 00:30:35 EDT 2022 % 0.14/0.36 % CPUTime : % 1.13/1.24 % SZS status Unsatisfiable % 1.13/1.24 % SZS output start Proof % 1.13/1.24 The input problem is unsatisfiable because % 1.13/1.24 % 1.13/1.24 [1] the following set of Horn clauses is unsatisfiable: % 1.13/1.24 % 1.13/1.24 c_in(v_evs2, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) % 1.13/1.24 c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_ONonce(v_NB))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) % 1.13/1.24 c_in(c_Message_Omsg_ONonce(v_NB), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) ==> \bottom % 1.13/1.24 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) % 1.13/1.24 c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) & c_in(c_Event_Oevent_OGets(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) % 1.13/1.24 % 1.13/1.24 This holds because % 1.13/1.24 % 1.13/1.24 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 1.13/1.24 % 1.13/1.24 E: % 1.13/1.24 c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_ONonce(v_NB))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) = true__ % 1.13/1.24 c_in(v_evs2, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) = true__ % 1.13/1.24 f1(c_in(c_Message_Omsg_ONonce(v_NB), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) = true__ % 1.13/1.24 f1(true__) = false__ % 1.13/1.24 f2(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg), V_Y, V_H) = true__ % 1.13/1.24 f2(true__, V_Y, V_H) = c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) % 1.13/1.24 f3(true__, V_X, V_evs) = c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) % 1.13/1.24 f4(c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent), V_evs, V_X) = true__ % 1.13/1.24 f4(true__, V_evs, V_X) = f3(c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), V_X, V_evs) % 1.13/1.24 G: % 1.13/1.24 true__ = false__ % 1.13/1.24 % 1.13/1.24 This holds because % 1.13/1.24 % 1.13/1.24 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 1.13/1.24 % 1.13/1.24 f2(true__, Y1, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)) = f4(true__, v_evs2, Y1) % 1.13/1.24 c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) -> f2(true__, V_Y, V_H) % 1.13/1.24 c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_ONonce(v_NB))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) -> true__ % 1.13/1.24 c_in(v_evs2, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) -> true__ % 1.13/1.24 f1(c_in(c_Message_Omsg_ONonce(v_NB), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) -> true__ % 1.13/1.24 f1(f2(true__, c_Message_Omsg_ONonce(v_NB), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2))) -> true__ % 1.13/1.24 f1(f4(true__, v_evs2, c_Message_Omsg_ONonce(v_NB))) -> true__ % 1.13/1.24 f1(true__) -> false__ % 1.13/1.24 f2(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg), V_Y, V_H) -> true__ % 1.13/1.24 f2(f2(true__, c_Message_Omsg_OMPair(Y0, Y1), Y2), Y1, Y2) -> true__ % 1.13/1.24 f2(f4(true__, v_evs2, c_Message_Omsg_OMPair(Y0, Y1)), Y1, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)) -> true__ % 1.13/1.24 f2(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_ONonce(v_NB)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)) -> true__ % 1.13/1.24 f3(c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), V_X, V_evs) -> f4(true__, V_evs, V_X) % 1.13/1.24 f3(true__, V_X, V_evs) -> c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) % 1.13/1.24 f4(c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent), V_evs, V_X) -> true__ % 1.13/1.24 f4(true__, v_evs2, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_ONonce(v_NB))) -> true__ % 1.13/1.24 f4(true__, v_evs2, c_Message_Omsg_ONonce(v_NB)) -> true__ % 1.13/1.24 false__ -> true__ % 1.13/1.24 with the LPO induced by % 1.13/1.24 c_Message_Omsg_OAgent > f3 > c_Event_Oknows > f4 > c_in > f2 > c_Message_Oanalz > tc_Event_Oevent > c_Yahalom_Oyahalom > tc_Message_Omsg > c_Message_Oagent_OSpy > f1 > c_List_Oset > v_NB > c_Message_Omsg_ONonce > v_Aa > c_Message_Omsg_OMPair > v_Ba > c_Event_Oevent_OGets > tc_List_Olist > v_evs2 > false__ > true__ % 1.13/1.24 % 1.13/1.24 % SZS output end Proof % 1.13/1.24 %------------------------------------------------------------------------------