%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV364-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n020.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 20:43:36 EDT 2022 % Result : Unsatisfiable 1.11s 1.28s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV364-2 : TPTP v8.1.0. Released v3.2.0. % 0.11/0.13 % Command : moca.sh %s % 0.12/0.34 % Computer : n020.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 14 15:28:20 EDT 2022 % 0.12/0.34 % CPUTime : % 1.11/1.28 % SZS status Unsatisfiable % 1.11/1.28 % SZS output start Proof % 1.11/1.28 The input problem is unsatisfiable because % 1.11/1.28 % 1.11/1.28 [1] the following set of Horn clauses is unsatisfiable: % 1.11/1.28 % 1.11/1.28 c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent) % 1.11/1.28 c_in(v_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) % 1.11/1.28 c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) ==> \bottom % 1.11/1.28 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) % 1.11/1.28 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) % 1.11/1.28 % 1.11/1.28 This holds because % 1.11/1.28 % 1.11/1.28 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 1.11/1.28 % 1.11/1.28 E: % 1.11/1.28 c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent) = true__ % 1.11/1.28 c_in(v_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) = true__ % 1.11/1.28 f1(c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)) = true__ % 1.11/1.28 f1(true__) = false__ % 1.11/1.28 f2(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg), V_Y, V_H) = true__ % 1.11/1.28 f2(true__, V_Y, V_H) = c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) % 1.11/1.28 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) % 1.11/1.28 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__ % 1.11/1.28 f4(true__, V_evs, V_X) = f3(c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), V_X, V_evs) % 1.11/1.28 G: % 1.11/1.28 true__ = false__ % 1.11/1.28 % 1.11/1.28 This holds because % 1.11/1.28 % 1.11/1.28 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 1.11/1.28 % 1.11/1.28 f2(true__, Y1, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)) = f4(true__, v_evs, Y1) % 1.11/1.28 c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) -> f2(true__, V_Y, V_H) % 1.11/1.28 c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent) -> true__ % 1.11/1.28 c_in(v_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) -> true__ % 1.11/1.28 f1(c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)) -> true__ % 1.11/1.28 f1(f2(true__, v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))) -> true__ % 1.11/1.28 f1(f4(true__, v_evs, v_X)) -> true__ % 1.11/1.28 f1(true__) -> false__ % 1.11/1.28 f2(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg), V_Y, V_H) -> true__ % 1.11/1.28 f2(f2(true__, c_Message_Omsg_OMPair(Y0, Y1), Y2), Y1, Y2) -> true__ % 1.11/1.28 f2(f4(true__, v_evs, c_Message_Omsg_OMPair(Y0, Y1)), Y1, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)) -> true__ % 1.11/1.28 f3(c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), V_X, V_evs) -> f4(true__, V_evs, V_X) % 1.11/1.28 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) % 1.11/1.28 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__ % 1.11/1.28 f4(true__, v_evs, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)) -> true__ % 1.11/1.28 f4(true__, v_evs, v_X) -> true__ % 1.11/1.28 false__ -> true__ % 1.11/1.28 with the LPO induced by % 1.11/1.28 v_evs > f3 > c_Event_Oknows > f4 > tc_Event_Oevent > c_in > f2 > c_Message_Oanalz > c_Yahalom_Oyahalom > tc_Message_Omsg > c_Message_Oagent_OSpy > f1 > tc_List_Olist > c_List_Oset > v_X > v_Y > c_Public_OshrK > c_Message_Omsg_OCrypt > c_Message_Omsg_OMPair > v_A > c_Event_Oevent_OGets > false__ > true__ % 1.11/1.28 % 1.11/1.28 % SZS output end Proof % 1.11/1.28 %------------------------------------------------------------------------------