%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SWV300-2 : TPTP v5.0.0. Released v3.2.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art05.cs.miami.edu % Model : i686 i686 % CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz % Memory : 2018MB % OS : Linux 2.6.26.8-57.fc8 % CPULimit : 300s % DateTime : Sun Nov 28 06:52:09 EST 2010 % Result : Unsatisfiable 5.96s % Output : Refutation 5.96s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----ERROR: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % Command entered: % /home/graph/tptp/Systems/CARINE---0.734/carine /tmp/SystemOnTPTP15110/SWV/SWV300-2+noeq.car t=300 xo=off uct=32000 % CARINE version 0.734 (Dec 2003) % Initializing tables ... done. % Parsing .............. done. % Calculating time slices ... done. % Building Lookup Tables ... done. % Looking for a proof at depth = 1 ... % t = 0 secs [nr = 86] [nf = 0] [nu = 64] [ut = 61] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 1164] [nf = 0] [nu = 556] [ut = 269] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~c_in_3(v_A_0(),c_Event_Obad_0(),tc_Message_Oagent_0()) % B2: ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) % B3: c_in_3(c_Event_Oevent_OSays_3(v_Aaa_0(),v_Ba_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NAa_0()),c_Message_Omsg_OMPair_2(v_X_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Omsg_OKey_1(v_Ka_0())))))),c_List_Oset_2(v_evs4_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) % B4: c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Oparts_1(c_insert_3(v_X_0(),c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()),tc_Message_Omsg_0())),tc_Message_Omsg_0()) % B5: ~c_in_3(c_Event_Oevent_OSays_3(x0,x1,x2),c_List_Oset_2(x3,tc_Event_Oevent_0()),tc_Event_Oevent_0()) | c_in_3(x2,c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x3)),tc_Message_Omsg_0()) % B6: ~c_in_3(c_Message_Omsg_OMPair_2(x0,x1),c_Message_Oanalz_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oanalz_1(x2),tc_Message_Omsg_0()) % B8: ~c_in_3(x0,x1,tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Osynth_1(x1),tc_Message_Omsg_0()) % B9: ~c_in_3(x0,c_Message_Oanalz_1(x1),tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0()) % B10: ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3) % B11: ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OKey_1(x0),x2,tc_Message_Omsg_0()) % B12: ~c_in_3(x1,c_Message_Osynth_1(c_Message_Oanalz_1(x2)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_Message_Oparts_1(c_insert_3(x1,x2,tc_Message_Omsg_0())),tc_Message_Omsg_0()) | c_in_3(x0,c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(x2)),c_Message_Oparts_1(x2),tc_Message_Omsg_0()),tc_Message_Omsg_0()) % B13: ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(x1)),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x0)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) | c_in_3(x1,c_Event_Obad_0(),tc_Message_Oagent_0()) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f1 c3 t4 td2 b nc > c_in_3(v_evs4_0(),c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) % U2: < d0 v0 dv0 f6 c6 t12 td4 b nc > ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) % U6: < d1 v0 dv0 f10 c8 t18 td6 > c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NAa_0()),c_Message_Omsg_OMPair_2(v_X_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Omsg_OKey_1(v_Ka_0()))))),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) % U9: < d1 v0 dv0 f8 c7 t15 td5 > c_in_3(c_Message_Omsg_OMPair_2(v_X_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Omsg_OKey_1(v_Ka_0())))),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) % U22: < d1 v0 dv0 f9 c7 t16 td5 > c_in_3(c_Message_Omsg_OMPair_2(v_X_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Omsg_OKey_1(v_Ka_0())))),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()))),tc_Message_Omsg_0()) % U139: < d2 v0 dv0 f4 c4 t8 td3 > ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) % U220: < d2 v0 dv0 f7 c6 t13 td4 > ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Osynth_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()))),tc_Message_Omsg_0()) % U269: < d3 v0 dv0 f4 c4 t8 td3 > ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) % U270: < d3 v0 dv0 f10 c9 t19 td5 > c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()),tc_Message_Omsg_0()) % U1223: < d3 v0 dv0 f7 c6 t13 td4 > c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()))),tc_Message_Omsg_0()) % U4938: < d3 v0 dv0 f4 c4 t8 td3 > c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % c_in_3(v_evs4_0(),c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1 % Derivation of unit clause U2: % ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) ....... U2 % Derivation of unit clause U6: % c_in_3(c_Event_Oevent_OSays_3(v_Aaa_0(),v_Ba_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NAa_0()),c_Message_Omsg_OMPair_2(v_X_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Omsg_OKey_1(v_Ka_0())))))),c_List_Oset_2(v_evs4_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... B3 % ~c_in_3(c_Event_Oevent_OSays_3(x0,x1,x2),c_List_Oset_2(x3,tc_Event_Oevent_0()),tc_Event_Oevent_0()) | c_in_3(x2,c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x3)),tc_Message_Omsg_0()) ....... B5 % c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NAa_0()), c_Message_Omsg_OMPair_2(v_X_0(), c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()), c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()), c_Message_Omsg_OKey_1(v_Ka_0()))))), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()) ....... R1 [B3:L0, B5:L0] % Derivation of unit clause U9: % ~c_in_3(c_Message_Omsg_OMPair_2(x0,x1),c_Message_Oanalz_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oanalz_1(x2),tc_Message_Omsg_0()) ....... B6 % c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NAa_0()),c_Message_Omsg_OMPair_2(v_X_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Omsg_OKey_1(v_Ka_0()))))),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) ....... U6 % c_in_3(c_Message_Omsg_OMPair_2(v_X_0(), c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()), c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()), c_Message_Omsg_OKey_1(v_Ka_0())))), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()) ....... R1 [B6:L0, U6:L0] % Derivation of unit clause U22: % ~c_in_3(x0,x1,tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Osynth_1(x1),tc_Message_Omsg_0()) ....... B8 % c_in_3(c_Message_Omsg_OMPair_2(v_X_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Omsg_OKey_1(v_Ka_0())))),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) ....... U9 % c_in_3(c_Message_Omsg_OMPair_2(v_X_0(), c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()), c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()), c_Message_Omsg_OKey_1(v_Ka_0())))), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), tc_Message_Omsg_0()) ....... R1 [B8:L0, U9:L0] % Derivation of unit clause U139: % ~c_in_3(v_A_0(),c_Event_Obad_0(),tc_Message_Oagent_0()) ....... B0 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(x1)),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x0)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) | c_in_3(x1,c_Event_Obad_0(),tc_Message_Oagent_0()) ....... B13 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), x0)), tc_Message_Omsg_0()) | ~c_in_3(x0, c_OtwayRees_Ootway_0(), tc_List_Olist_1(tc_Event_Oevent_0())) ....... R1 [B0:L0, B13:L2] % c_in_3(v_evs4_0(),c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()) ....... R2 [R1:L1, U1:L0] % Derivation of unit clause U220: % ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) ....... B2 % ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OKey_1(x0),x2,tc_Message_Omsg_0()) ....... B11 % ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_Message_Osynth_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()) ....... R1 [B2:L0, B11:L1] % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) ....... U139 % ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_Message_Osynth_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), tc_Message_Omsg_0()) ....... R2 [R1:L1, U139:L0] % Derivation of unit clause U269: % ~c_in_3(v_A_0(),c_Event_Obad_0(),tc_Message_Oagent_0()) ....... B0 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(x1)),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x0)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) | c_in_3(x1,c_Event_Obad_0(),tc_Message_Oagent_0()) ....... B13 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), x0)), tc_Message_Omsg_0()) | ~c_in_3(x0, c_OtwayRees_Ootway_0(), tc_List_Olist_1(tc_Event_Oevent_0())) ....... R1 [B0:L0, B13:L2] % ~c_in_3(x0,c_Message_Oanalz_1(x1),tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0()) ....... B9 % ~c_in_3(x0, c_OtwayRees_Ootway_0(), tc_List_Olist_1(tc_Event_Oevent_0())) | ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), x0)), tc_Message_Omsg_0()) ....... R2 [R1:L0, B9:L1] % c_in_3(v_evs4_0(),c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()) ....... R3 [R2:L0, U1:L0] % Derivation of unit clause U270: % c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Oparts_1(c_insert_3(v_X_0(),c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()),tc_Message_Omsg_0())),tc_Message_Omsg_0()) ....... B4 % ~c_in_3(x1,c_Message_Osynth_1(c_Message_Oanalz_1(x2)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_Message_Oparts_1(c_insert_3(x1,x2,tc_Message_Omsg_0())),tc_Message_Omsg_0()) | c_in_3(x0,c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(x2)),c_Message_Oparts_1(x2),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... B12 % ~c_in_3(v_X_0(), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) ....... R1 [B4:L0, B12:L1] % ~c_in_3(c_Message_Omsg_OMPair_2(x0,x1),c_Message_Osynth_1(c_Message_Oanalz_1(x2)),tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Osynth_1(c_Message_Oanalz_1(x2)),tc_Message_Omsg_0()) ....... B7 % c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) | ~c_in_3(c_Message_Omsg_OMPair_2(v_X_0(), x0), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), tc_Message_Omsg_0()) ....... R2 [R1:L0, B7:L1] % c_in_3(c_Message_Omsg_OMPair_2(v_X_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_Ba_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Omsg_OKey_1(v_Ka_0())))),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()))),tc_Message_Omsg_0()) ....... U22 % c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) ....... R3 [R2:L1, U22:L0] % Derivation of unit clause U1223: % ~c_in_3(x0,x1,tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Osynth_1(x1),tc_Message_Omsg_0()) ....... B8 % ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3) ....... B10 % c_in_3(x0, c_Message_Osynth_1(x1), tc_Message_Omsg_0()) | ~c_in_3(x0, c_union_3(x2, x1, tc_Message_Omsg_0()), tc_Message_Omsg_0()) | c_in_3(x0, x2, tc_Message_Omsg_0()) ....... R1 [B8:L0, B10:L1] % ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Osynth_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()))),tc_Message_Omsg_0()) ....... U220 % ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_union_3(x0, c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), x0, tc_Message_Omsg_0()) ....... R2 [R1:L0, U220:L0] % c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... U270 % c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), tc_Message_Omsg_0()) ....... R3 [R2:L0, U270:L0] % Derivation of unit clause U4938: % ~c_in_3(x0,c_Message_Oanalz_1(x1),tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0()) ....... B9 % ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OKey_1(x0),x2,tc_Message_Omsg_0()) ....... B11 % c_in_3(c_Message_Omsg_OCrypt_2(x0, x1), c_Message_Oparts_1(x2), tc_Message_Omsg_0()) | ~c_in_3(c_Message_Omsg_OCrypt_2(x0, x1), c_Message_Osynth_1(c_Message_Oanalz_1(x2)), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OKey_1(x0), c_Message_Oanalz_1(x2), tc_Message_Omsg_0()) ....... R1 [B9:L0, B11:L1] % ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) ....... U2 % ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0()))), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()) ....... R2 [R1:L0, U2:L0] % c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0()))),tc_Message_Omsg_0()) ....... U1223 % c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs4_0())), tc_Message_Omsg_0()) ....... R3 [R2:L0, U1223:L0] % Derivation of the empty clause: % c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) ....... U4938 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs4_0())),tc_Message_Omsg_0()) ....... U269 % [] ....... R1 [U4938:L0, U269:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 53949 % resolvents: 53949 factors: 0 % Number of unit clauses generated: 18735 % % unit clauses generated to total clauses generated: 34.73 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 5 [1] = 56 [2] = 208 [3] = 4670 % Total = 4939 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 18735 [2] = 34993 [3] = 221 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)108 (-)4831 % ------------------ % Total: (+)108 (-)4831 % Total number of unit clauses retained: 4939 % Number of clauses skipped because of their length: 55635 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 53968 % Number of unification failures: 1737065 % Number of unit to unit unification failures: 517100 % N literal unification failure due to lookup root_id table: 42104286 % N base clause resolution failure due to lookup table: 21779 % N UC-BCL resolution dropped due to lookup table: 16360 % Max entries in substitution set: 16 % N unit clauses dropped because they exceeded max values: 13012 % N unit clauses dropped because too much nesting: 203 % N unit clauses not constrcuted because table was full: 0 % N unit clauses dropped because UCFA table was full: 0 % Max number of terms in a unit clause: 64 % Max term depth in a unit clause: 13 % Number of states in UCFA table: 98390 % Total number of terms of all unit clauses in table: 251222 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.19 % Ratio n states used/total unit clauses terms: 0.39 % Number of symbols (columns) in UCFA: 65 % Profile 2: Number of calls to: % ============================== % PTUnify() = 1791033 % ConstructUnitClause() = 17946 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.08 secs % -------------------------------------------------------- % | | % Inferences per sec: 10790 % | | % -------------------------------------------------------- % Elapsed time: 6 secs % CPU time: 5.95 secs % %------------------------------------------------------------------------------