%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SWV329-2 : TPTP v5.0.0. Released v3.2.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art02.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 06:59:58 EST 2010 % Result : Unsatisfiable 0.49s % Output : Refutation 0.49s % 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/SystemOnTPTP20197/SWV/SWV329-2+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 = 11] [nf = 0] [nu = 2] [ut = 6] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 468] [nf = 0] [nu = 146] [ut = 117] % 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_B_0(),c_Event_Obad_0(),tc_Message_Oagent_0()) % B2: c_in_3(v_X_0(),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0()) % B4: ~c_in_3(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_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) % B5: ~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()) % B6: ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3) % B7: ~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()) % B8: ~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()) % B9: ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(x1)),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x0)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_Yahalom_Oyahalom_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_evsf_0(),c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0())) % U3: < d0 v0 dv0 f8 c8 t16 td4 b nc > c_in_3(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_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_evsf_0()),tc_Message_Omsg_0())),tc_Message_Omsg_0()) % U4: < d0 v0 dv0 f7 c6 t13 td4 b nc > ~c_in_3(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_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) % U51: < d2 v0 dv0 f4 c4 t8 td3 > ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_B_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) % U52: < d2 v0 dv0 f11 c9 t20 td5 > c_in_3(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_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_evsf_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()),tc_Message_Omsg_0()) % U53: < d2 v0 dv0 f8 c6 t14 td4 > c_in_3(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_OKey_1(v_K_0()))),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0()) % U586: < d3 v0 dv0 f4 c4 t8 td3 > c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_B_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % c_in_3(v_evsf_0(),c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1 % Derivation of unit clause U3: % c_in_3(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_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_evsf_0()),tc_Message_Omsg_0())),tc_Message_Omsg_0()) ....... U3 % Derivation of unit clause U4: % ~c_in_3(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_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... U4 % Derivation of unit clause U51: % ~c_in_3(v_B_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_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x0)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0())) | c_in_3(x1,c_Event_Obad_0(),tc_Message_Oagent_0()) ....... B9 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_B_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), x0)), tc_Message_Omsg_0()) | ~c_in_3(x0, c_Yahalom_Oyahalom_0(), tc_List_Olist_1(tc_Event_Oevent_0())) ....... R1 [B0:L0, B9:L2] % c_in_3(v_evsf_0(),c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_B_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R2 [R1:L1, U1:L0] % Derivation of unit clause U52: % c_in_3(v_X_0(),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0()) ....... B2 % ~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()) ....... B8 % ~c_in_3(x0, c_Message_Oparts_1(c_insert_3(v_X_0(), c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()), tc_Message_Omsg_0())), tc_Message_Omsg_0()) | c_in_3(x0, c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) ....... R1 [B2:L0, B8:L0] % c_in_3(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_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_evsf_0()),tc_Message_Omsg_0())),tc_Message_Omsg_0()) ....... U3 % c_in_3(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_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_evsf_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U53: % ~c_in_3(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_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... B4 % ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3) ....... B6 % ~c_in_3(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_OKey_1(v_K_0()))), c_union_3(x0, c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) | c_in_3(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_OKey_1(v_K_0()))), x0, tc_Message_Omsg_0()) ....... R1 [B4:L0, B6:L1] % c_in_3(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_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_evsf_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... U52 % c_in_3(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_OKey_1(v_K_0()))), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), tc_Message_Omsg_0()) ....... R2 [R1:L0, U52:L0] % Derivation of unit clause U586: % ~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()) ....... B5 % ~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()) ....... B7 % 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 [B5:L0, B7:L1] % ~c_in_3(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_OKey_1(v_K_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... U4 % ~c_in_3(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_OKey_1(v_K_0()))), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_B_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R2 [R1:L0, U4:L0] % c_in_3(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_OKey_1(v_K_0()))),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0()) ....... U53 % c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_B_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R3 [R2:L0, U53:L0] % Derivation of the empty clause: % c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_B_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... U586 % ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_B_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... U51 % [] ....... R1 [U586:L0, U51:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 2981 % resolvents: 2981 factors: 0 % Number of unit clauses generated: 1856 % % unit clauses generated to total clauses generated: 62.26 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 5 [1] = 1 [2] = 111 [3] = 470 % Total = 587 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 1856 [2] = 1075 [3] = 50 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)6 (-)581 % ------------------ % Total: (+)6 (-)581 % Total number of unit clauses retained: 587 % Number of clauses skipped because of their length: 3071 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 2990 % Number of unification failures: 2878 % Number of unit to unit unification failures: 2953 % N literal unification failure due to lookup root_id table: 367648 % N base clause resolution failure due to lookup table: 813 % N UC-BCL resolution dropped due to lookup table: 84 % Max entries in substitution set: 7 % N unit clauses dropped because they exceeded max values: 1043 % N unit clauses dropped because too much nesting: 561 % 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: 55 % Max term depth in a unit clause: 10 % Number of states in UCFA table: 10669 % Total number of terms of all unit clauses in table: 26240 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.02 % Ratio n states used/total unit clauses terms: 0.41 % Number of symbols (columns) in UCFA: 58 % Profile 2: Number of calls to: % ============================== % PTUnify() = 5868 % ConstructUnitClause() = 1625 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.02 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.48 secs % %------------------------------------------------------------------------------