%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SWV335-2 : TPTP v5.0.0. Released v3.2.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art04.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 07:02:26 EST 2010 % Result : Unsatisfiable 0.48s % Output : Refutation 0.48s % 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/SystemOnTPTP20354/SWV/SWV335-2+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 = 21] [nf = 0] [nu = 11] [ut = 12] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 1354] [nf = 0] [nu = 700] [ut = 240] % 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_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_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()) % 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(c_Message_Omsg_ONonce_1(x0),c_Message_Osynth_1(x1),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_ONonce_1(x0),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(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()) % 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()) % 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()) % U3: < d0 v0 dv0 f4 c5 t9 td3 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_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) % U4: < d1 v0 dv0 f4 c4 t8 td4 > ~c_in_3(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()) % U12: < 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()) % U118: < 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()) % U1142: < d3 v0 dv0 f4 c4 t8 td4 > c_in_3(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 U3: % ~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()) ....... U3 % Derivation of unit clause U4: % ~c_in_3(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()) ....... B1 % ~c_in_3(c_Message_Omsg_ONonce_1(x0),c_Message_Osynth_1(x1),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_ONonce_1(x0),x1,tc_Message_Omsg_0()) ....... B5 % ~c_in_3(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()) ....... R1 [B1:L0, B5:L1] % Derivation of unit clause U12: % 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()) ....... 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 [B0:L0, B8: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 U118: % ~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) ....... B6 % ~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, B6: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()) ....... U12 % 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, U12:L0] % Derivation of unit clause U1142: % ~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(x0,x1),c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(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()) ....... 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(x1, c_Message_Osynth_1(c_Message_Oanalz_1(x2)), tc_Message_Omsg_0()) ....... R1 [B4:L0, B7:L2] % ~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()) ....... U3 % ~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()) | c_in_3(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, U3:L0] % 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()) ....... U118 % c_in_3(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()) ....... R3 [R2:L0, U118:L0] % Derivation of the empty clause: % c_in_3(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()) ....... U1142 % ~c_in_3(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()) ....... U4 % [] ....... R1 [U1142:L0, U4:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 8387 % resolvents: 8387 factors: 0 % Number of unit clauses generated: 4486 % % unit clauses generated to total clauses generated: 53.49 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 4 [1] = 8 [2] = 228 [3] = 903 % Total = 1143 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 4486 [2] = 3841 [3] = 60 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)5 (-)1138 % ------------------ % Total: (+)5 (-)1138 % Total number of unit clauses retained: 1143 % Number of clauses skipped because of their length: 5976 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 8395 % Number of unification failures: 11222 % Number of unit to unit unification failures: 4554 % N literal unification failure due to lookup root_id table: 1969332 % N base clause resolution failure due to lookup table: 2001 % N UC-BCL resolution dropped due to lookup table: 165 % Max entries in substitution set: 7 % N unit clauses dropped because they exceeded max values: 2578 % N unit clauses dropped because too much nesting: 2013 % 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: 51 % Max term depth in a unit clause: 10 % Number of states in UCFA table: 19780 % Total number of terms of all unit clauses in table: 41305 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.04 % Ratio n states used/total unit clauses terms: 0.48 % Number of symbols (columns) in UCFA: 49 % Profile 2: Number of calls to: % ============================== % PTUnify() = 19617 % ConstructUnitClause() = 3717 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.46 secs % %------------------------------------------------------------------------------