%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SWV328-2 : TPTP v5.0.0. Released v3.2.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art11.cs.miami.edu % Model : i686 i686 % CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz % Memory : 2006MB % OS : Linux 2.6.31.5-127.fc12.i686.PAE % CPULimit : 300s % DateTime : Sun Nov 28 07:01:30 EST 2010 % Result : Unsatisfiable 0.40s % Output : Refutation 0.40s % 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/SystemOnTPTP19410/SWV/SWV328-2+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 = 10] [nf = 0] [nu = 2] [ut = 5] % 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(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()) % B1: ~c_in_3(c_Message_Omsg_OKey_1(v_K_0()),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) % B3: ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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_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(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(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(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()) % Unit Clauses: % -------------- % U2: < d0 v0 dv0 f5 c7 t12 td4 b nc > c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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: < d1 v0 dv0 f4 c5 t9 td3 > ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) % U5: < d2 v0 dv0 f8 c8 t16 td5 > c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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()) % U34: < d2 v0 dv0 f5 c5 t10 td4 > ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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()) % U35: < d2 v0 dv0 f5 c5 t10 td4 > c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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()) ....... U2 % Derivation of unit clause U4: % ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... B3 % ~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()) ....... B4 % ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R1 [B3:L0, B4:L1] % Derivation of unit clause U5: % 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()) ....... B0 % ~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()) ....... B7 % ~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 [B0:L0, B7:L0] % c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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()) ....... U2 % c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_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, U2:L0] % Derivation of unit clause U34: % ~c_in_3(c_Message_Omsg_OKey_1(v_K_0()),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... B1 % ~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()) ....... B6 % ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), x0), 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_OCrypt_2(v_K_0(), x0), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R1 [B1:L0, B6:L2] % ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oanalz_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(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_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:L1, U4:L0] % Derivation of unit clause U35: % ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... B3 % ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3) ....... B5 % ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_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(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_0())), x0, tc_Message_Omsg_0()) ....... R1 [B3:L0, B5:L1] % c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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()) ....... U5 % c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_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, U5:L0] % Derivation of the empty clause: % c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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()) ....... U35 % ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_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()) ....... U34 % [] ....... R1 [U35:L0, U34:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 62 % resolvents: 62 factors: 0 % Number of unit clauses generated: 44 % % unit clauses generated to total clauses generated: 70.97 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 4 [1] = 1 [2] = 31 % Total = 36 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 44 [2] = 18 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)4 (-)32 % ------------------ % Total: (+)4 (-)32 % Total number of unit clauses retained: 36 % Number of clauses skipped because of their length: 18 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 69 % Number of unification failures: 64 % Number of unit to unit unification failures: 127 % N literal unification failure due to lookup root_id table: 61 % N base clause resolution failure due to lookup table: 18 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 5 % N unit clauses dropped because they exceeded max values: 11 % N unit clauses dropped because too much nesting: 8 % 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: 49 % Max term depth in a unit clause: 10 % Number of states in UCFA table: 677 % Total number of terms of all unit clauses in table: 1116 % 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: 0.61 % Number of symbols (columns) in UCFA: 50 % Profile 2: Number of calls to: % ============================== % PTUnify() = 133 % ConstructUnitClause() = 43 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.38 secs % %------------------------------------------------------------------------------