%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV320-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n012.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 20:43:06 EDT 2022 % Result : Unsatisfiable 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV320-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : moca.sh %s % 0.12/0.33 % Computer : n012.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 : Wed Jun 15 23:47:09 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.40 % SZS status Unsatisfiable % 0.19/0.40 % SZS output start Proof % 0.19/0.40 The input problem is unsatisfiable because % 0.19/0.40 % 0.19/0.40 [1] the following set of Horn clauses is unsatisfiable: % 0.19/0.40 % 0.19/0.40 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) % 0.19/0.40 c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) % 0.19/0.40 c_in(v_A, c_Event_Obad, tc_Message_Oagent) ==> \bottom % 0.19/0.40 c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) & c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), 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) % 0.19/0.40 % 0.19/0.40 This holds because % 0.19/0.40 % 0.19/0.40 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.19/0.40 % 0.19/0.40 E: % 0.19/0.40 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) = true__ % 0.19/0.40 c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) = true__ % 0.19/0.40 f1(c_in(v_A, c_Event_Obad, tc_Message_Oagent)) = true__ % 0.19/0.40 f1(true__) = false__ % 0.19/0.40 f2(true__, V_A) = c_in(V_A, c_Event_Obad, tc_Message_Oagent) % 0.19/0.40 f3(c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_evs, V_A) = true__ % 0.19/0.40 f3(true__, V_evs, V_A) = f2(c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), V_A) % 0.19/0.40 G: % 0.19/0.40 true__ = false__ % 0.19/0.40 % 0.19/0.40 This holds because % 0.19/0.40 % 0.19/0.40 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.19/0.40 % 0.19/0.40 % 0.19/0.40 c_in(V_A, c_Event_Obad, tc_Message_Oagent) -> f2(true__, V_A) % 0.19/0.40 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) -> true__ % 0.19/0.40 c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) -> true__ % 0.19/0.40 f1(c_in(v_A, c_Event_Obad, tc_Message_Oagent)) -> true__ % 0.19/0.40 f1(f2(true__, v_A)) -> true__ % 0.19/0.40 f1(true__) -> false__ % 0.19/0.40 f2(c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), V_A) -> f3(true__, V_evs, V_A) % 0.19/0.40 f2(true__, Y1) -> f3(true__, v_evs, Y1) % 0.19/0.40 f3(c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_evs, V_A) -> true__ % 0.19/0.40 f3(true__, v_evs, v_A) -> true__ % 0.19/0.40 false__ -> true__ % 0.19/0.40 with the LPO induced by % 0.19/0.40 c_in > f2 > f3 > tc_Event_Oevent > c_OtwayRees_Ootway > tc_Message_Oagent > c_Event_Obad > tc_List_Olist > f1 > tc_Message_Omsg > v_evs > c_Message_Oagent_OSpy > c_Event_Oknows > c_Message_Oparts > v_A > c_Public_OshrK > c_Message_Omsg_OKey > false__ > true__ % 0.19/0.40 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 %------------------------------------------------------------------------------