%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV336-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n014.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 20:43:17 EDT 2022 % Result : Unsatisfiable 0.20s 0.40s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV336-2 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.13 % Command : moca.sh %s % 0.13/0.34 % Computer : n014.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 15 02:36:21 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.40 % SZS status Unsatisfiable % 0.20/0.40 % SZS output start Proof % 0.20/0.40 The input problem is unsatisfiable because % 0.20/0.40 % 0.20/0.40 [1] the following set of Horn clauses is unsatisfiable: % 0.20/0.40 % 0.20/0.40 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_Aa, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NB))))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) % 0.20/0.40 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, V_U, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_U), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_V), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_W), c_Message_Omsg_ONonce(v_NB))))), c_Message_Omsg_OCrypt(c_Public_OshrK(V_V), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) ==> \bottom % 0.20/0.40 % 0.20/0.40 This holds because % 0.20/0.40 % 0.20/0.40 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.20/0.40 % 0.20/0.40 E: % 0.20/0.40 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_Aa, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NB))))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) = true__ % 0.20/0.40 f1(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, V_U, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_U), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_V), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_W), c_Message_Omsg_ONonce(v_NB))))), c_Message_Omsg_OCrypt(c_Public_OshrK(V_V), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) = true__ % 0.20/0.40 f1(true__) = false__ % 0.20/0.40 G: % 0.20/0.40 true__ = false__ % 0.20/0.40 % 0.20/0.40 This holds because % 0.20/0.40 % 0.20/0.40 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.20/0.40 % 0.20/0.40 % 0.20/0.40 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_Aa, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NB))))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) -> true__ % 0.20/0.40 f1(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, V_U, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_U), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_V), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_W), c_Message_Omsg_ONonce(v_NB))))), c_Message_Omsg_OCrypt(c_Public_OshrK(V_V), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) -> true__ % 0.20/0.40 f1(true__) -> false__ % 0.20/0.40 false__ -> true__ % 0.20/0.40 with the LPO induced by % 0.20/0.40 f1 > tc_Event_Oevent > v_evs3 > c_List_Oset > v_NB > v_NAa > c_Message_Omsg_ONonce > v_K > c_Message_Omsg_OKey > v_Ba > c_Message_Omsg_OAgent > c_Public_OshrK > c_Message_Omsg_OCrypt > c_Message_Omsg_OMPair > v_Aa > c_Message_Oagent_OServer > c_Event_Oevent_OSays > c_in > false__ > true__ % 0.20/0.40 % 0.20/0.40 % SZS output end Proof % 0.20/0.40 %------------------------------------------------------------------------------