%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV356-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n022.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 20:43:30 EDT 2022 % Result : Unsatisfiable 0.79s 0.95s % Output : Proof 0.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWV356-2 : TPTP v8.1.0. Released v3.2.0. % 0.10/0.13 % Command : moca.sh %s % 0.13/0.33 % Computer : n022.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jun 15 03:51:18 EDT 2022 % 0.13/0.34 % CPUTime : % 0.79/0.95 % SZS status Unsatisfiable % 0.79/0.95 % SZS output start Proof % 0.79/0.95 The input problem is unsatisfiable because % 0.79/0.95 % 0.79/0.95 [1] the following set of Horn clauses is unsatisfiable: % 0.79/0.95 % 0.79/0.95 c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg) ==> \bottom % 0.79/0.95 c_in(c_Message_Omsg_ONonce(v_NB), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) % 0.79/0.95 c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) ==> c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg) % 0.79/0.95 c_in(V_X, c_Message_Oanalz(V_H), tc_Message_Omsg) ==> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 0.79/0.95 % 0.79/0.95 This holds because % 0.79/0.95 % 0.79/0.95 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.79/0.95 % 0.79/0.95 E: % 0.79/0.95 c_in(c_Message_Omsg_ONonce(v_NB), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) = true__ % 0.79/0.95 f1(c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg)) = true__ % 0.79/0.95 f1(true__) = false__ % 0.79/0.95 f2(c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_c, V_evs) = true__ % 0.79/0.95 f2(true__, V_c, V_evs) = c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg) % 0.79/0.95 f3(c_in(V_X, c_Message_Oanalz(V_H), tc_Message_Omsg), V_X, V_H) = true__ % 0.79/0.95 f3(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 0.79/0.95 G: % 0.79/0.95 true__ = false__ % 0.79/0.95 % 0.79/0.95 This holds because % 0.79/0.95 % 0.79/0.95 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.79/0.95 % 0.79/0.95 % 0.79/0.95 c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) -> f3(true__, V_X, V_H) % 0.79/0.95 c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg) -> f2(true__, V_c, V_evs) % 0.79/0.95 c_in(c_Message_Omsg_ONonce(v_NB), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) -> true__ % 0.79/0.95 f1(c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg)) -> true__ % 0.79/0.95 f1(f2(true__, c_Message_Omsg_ONonce(v_NB), v_evs2)) -> true__ % 0.79/0.95 f1(true__) -> false__ % 0.79/0.95 f2(c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_c, V_evs) -> true__ % 0.79/0.95 f2(f3(true__, Y0, c_Event_Oknows(c_Message_Oagent_OSpy, Y1)), Y0, Y1) -> true__ % 0.79/0.95 f2(true__, c_Message_Omsg_ONonce(v_NB), v_evs2) -> true__ % 0.79/0.95 f3(c_in(V_X, c_Message_Oanalz(V_H), tc_Message_Omsg), V_X, V_H) -> true__ % 0.79/0.95 f3(true__, c_Message_Omsg_ONonce(v_NB), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)) -> true__ % 0.79/0.95 false__ -> true__ % 0.79/0.95 with the LPO induced by % 0.79/0.95 c_in > f3 > c_Message_Oparts > f2 > tc_Message_Omsg > c_Message_Oagent_OSpy > c_Event_Oknows > c_Message_Oanalz > v_evs2 > c_Event_Oused > v_NB > c_Message_Omsg_ONonce > f1 > false__ > true__ % 0.79/0.95 % 0.79/0.95 % SZS output end Proof % 0.79/0.95 %------------------------------------------------------------------------------