%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SWV355-2 : TPTP v5.0.0. Released v3.2.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art09.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 07:08:42 EST 2010 % Result : Unsatisfiable 0.44s % Output : Refutation 0.44s % 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/SystemOnTPTP18513/SWV/SWV355-2+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 = 1 secs [nr = 202] [nf = 0] [nu = 185] [ut = 171] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Event_Oused_1(v_evs1_0()),tc_Message_Omsg_0()) % B1: c_in_3(c_Event_Oevent_OSays_3(v_B_0(),c_Message_Oagent_OServer_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()),c_Message_Omsg_ONonce_1(v_NB_0())))))),c_List_Oset_2(v_evs1_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) % B2: ~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_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x3),tc_Message_Omsg_0()) % B3: ~c_in_3(c_Message_Omsg_OMPair_2(x0,x1),c_Message_Oparts_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oparts_1(x2),tc_Message_Omsg_0()) % B4: ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Oparts_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oparts_1(x2),tc_Message_Omsg_0()) % B5: ~c_in_3(x0,x1,tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0()) % B6: ~c_in_3(x0,c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x1)),tc_Message_Omsg_0()) | c_in_3(x0,c_Event_Oused_1(x1),tc_Message_Omsg_0()) % Unit Clauses: % -------------- % U2: < d1 v0 dv0 f3 c4 t7 td3 > ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) % U3: < d1 v0 dv0 f10 c8 t18 td6 > c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()),c_Message_Omsg_ONonce_1(v_NB_0()))))),c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0()),tc_Message_Omsg_0()) % U4: < d1 v1 dv1 f4 c4 t9 td3 > ~c_in_3(c_Message_Omsg_OMPair_2(x0,c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) % U5: < d1 v2 dv2 f5 c4 t11 td4 > ~c_in_3(c_Message_Omsg_OMPair_2(x0,c_Message_Omsg_OMPair_2(x1,c_Message_Omsg_ONonce_1(v_NB_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) % U81: < d1 v0 dv0 f11 c8 t19 td6 > c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()),c_Message_Omsg_ONonce_1(v_NB_0()))))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) % U332: < d2 v0 dv0 f7 c6 t13 td4 > c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()),c_Message_Omsg_ONonce_1(v_NB_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Event_Oused_1(v_evs1_0()),tc_Message_Omsg_0()) ....... B0 % ~c_in_3(x0,c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x1)),tc_Message_Omsg_0()) | c_in_3(x0,c_Event_Oused_1(x1),tc_Message_Omsg_0()) ....... B6 % ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs1_0())), tc_Message_Omsg_0()) ....... R1 [B0:L0, B6:L1] % Derivation of unit clause U3: % c_in_3(c_Event_Oevent_OSays_3(v_B_0(),c_Message_Oagent_OServer_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()),c_Message_Omsg_ONonce_1(v_NB_0())))))),c_List_Oset_2(v_evs1_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... B1 % ~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_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x3),tc_Message_Omsg_0()) ....... B2 % c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()), c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()), c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()), c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()), c_Message_Omsg_ONonce_1(v_NB_0()))))), c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs1_0()), tc_Message_Omsg_0()) ....... R1 [B1:L0, B2:L0] % Derivation of unit clause U4: % ~c_in_3(c_Message_Omsg_OMPair_2(x0,x1),c_Message_Oparts_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oparts_1(x2),tc_Message_Omsg_0()) ....... B3 % ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) ....... U2 % ~c_in_3(c_Message_Omsg_OMPair_2(x0, c_Message_Omsg_ONonce_1(v_NB_0())), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs1_0())), tc_Message_Omsg_0()) ....... R1 [B3:L1, U2:L0] % Derivation of unit clause U5: % ~c_in_3(c_Message_Omsg_OMPair_2(x0,x1),c_Message_Oparts_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oparts_1(x2),tc_Message_Omsg_0()) ....... B3 % ~c_in_3(c_Message_Omsg_OMPair_2(x0,c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) ....... U4 % ~c_in_3(c_Message_Omsg_OMPair_2(x0, c_Message_Omsg_OMPair_2(x1, c_Message_Omsg_ONonce_1(v_NB_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs1_0())), tc_Message_Omsg_0()) ....... R1 [B3:L1, U4:L0] % Derivation of unit clause U81: % ~c_in_3(x0,x1,tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0()) ....... B5 % c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()),c_Message_Omsg_ONonce_1(v_NB_0()))))),c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0()),tc_Message_Omsg_0()) ....... U3 % c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()), c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()), c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()), c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()), c_Message_Omsg_ONonce_1(v_NB_0()))))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs1_0())), tc_Message_Omsg_0()) ....... R1 [B5:L0, U3:L0] % Derivation of unit clause U332: % ~c_in_3(c_Message_Omsg_OMPair_2(x0,x1),c_Message_Oparts_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oparts_1(x2),tc_Message_Omsg_0()) ....... B3 % ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Oparts_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oparts_1(x2),tc_Message_Omsg_0()) ....... B4 % ~c_in_3(c_Message_Omsg_OMPair_2(x0, c_Message_Omsg_OCrypt_2(x1, x2)), c_Message_Oparts_1(x3), tc_Message_Omsg_0()) | c_in_3(x2, c_Message_Oparts_1(x3), tc_Message_Omsg_0()) ....... R1 [B3:L1, B4:L0] % c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()),c_Message_Omsg_ONonce_1(v_NB_0()))))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) ....... U81 % c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()), c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()), c_Message_Omsg_ONonce_1(v_NB_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs1_0())), tc_Message_Omsg_0()) ....... R2 [R1:L0, U81:L0] % Derivation of the empty clause: % c_in_3(c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_ONonce_1(v_NA_0()),c_Message_Omsg_ONonce_1(v_NB_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) ....... U332 % ~c_in_3(c_Message_Omsg_OMPair_2(x0,c_Message_Omsg_OMPair_2(x1,c_Message_Omsg_ONonce_1(v_NB_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs1_0())),tc_Message_Omsg_0()) ....... U5 % [] ....... R1 [U332:L0, U5:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 820 % resolvents: 820 factors: 0 % Number of unit clauses generated: 781 % % unit clauses generated to total clauses generated: 95.24 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [1] = 169 [2] = 162 % Total = 333 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 781 [2] = 39 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)15 (-)318 % ------------------ % Total: (+)15 (-)318 % Total number of unit clauses retained: 333 % Number of clauses skipped because of their length: 0 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 827 % Number of unification failures: 446 % Number of unit to unit unification failures: 4455 % N literal unification failure due to lookup root_id table: 531 % N base clause resolution failure due to lookup table: 33 % N UC-BCL resolution dropped due to lookup table: 58 % Max entries in substitution set: 6 % N unit clauses dropped because they exceeded max values: 280 % N unit clauses dropped because too much nesting: 162 % 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: 29 % Max term depth in a unit clause: 13 % Number of states in UCFA table: 2179 % Total number of terms of all unit clauses in table: 7469 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.29 % Number of symbols (columns) in UCFA: 54 % Profile 2: Number of calls to: % ============================== % PTUnify() = 1273 % ConstructUnitClause() = 611 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.01 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.43 secs % %------------------------------------------------------------------------------