%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN084-2 : TPTP v5.0.0. Released v1.2.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art03.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 08:30:06 EST 2010 % Result : Unsatisfiable 121.02s % Output : Refutation 121.02s % 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/SystemOnTPTP27643/SYN/SYN084-2+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 = 2] [nf = 0] [nu = 0] [ut = 1] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 18] [nf = 0] [nu = 0] [ut = 1] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 58] [nf = 0] [nu = 0] [ut = 1] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 164] [nf = 8] [nu = 0] [ut = 1] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 376] [nf = 20] [nu = 0] [ut = 1] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 860] [nf = 32] [nu = 0] [ut = 1] % Looking for a proof at depth = 7 ... % t = 0 secs [nr = 1672] [nf = 44] [nu = 0] [ut = 1] % Looking for a proof at depth = 8 ... % t = 0 secs [nr = 7706] [nf = 352] [nu = 1309] [ut = 11] % Looking for a proof at depth = 9 ... % t = 0 secs [nr = 22020] [nf = 1548] [nu = 3569] [ut = 11] % Looking for a proof at depth = 10 ... % t = 0 secs [nr = 55676] [nf = 3176] [nu = 10773] [ut = 11] % Looking for a proof at depth = 11 ... % t = 0 secs [nr = 120322] [nf = 8448] [nu = 20921] [ut = 11] % Looking for a proof at depth = 12 ... % t = 1 secs [nr = 266090] [nf = 17944] [nu = 51041] [ut = 11] % Looking for a proof at depth = 13 ... % t = 2 secs [nr = 547112] [nf = 43876] [nu = 97593] [ut = 11] % Looking for a proof at depth = 14 ... % t = 3 secs [nr = 1171144] [nf = 82672] [nu = 226445] [ut = 11] % Looking for a proof at depth = 15 ... % t = 7 secs [nr = 2388914] [nf = 190616] [nu = 434353] [ut = 11] % Looking for a proof at depth = 16 ... % t = 15 secs [nr = 5041146] [nf = 378384] [nu = 980713] [ut = 11] % Looking for a proof at depth = 17 ... % t = 31 secs [nr = 10276804] [nf = 846940] [nu = 1905105] [ut = 11] % Looking for a proof at depth = 18 ... % t = 66 secs [nr = 21589836] [nf = 1635640] [nu = 4231093] [ut = 11] % Looking for a proof at depth = 19 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 122 secs [nr = 39901816] [nf = 3335378] [nu = 7419700] [ut = 11] % Looking for a proof at depth = 2 ... % t = 122 secs [nr = 39901860] [nf = 3335378] [nu = 7419712] [ut = 11] % Looking for a proof at depth = 3 ... % t = 122 secs [nr = 39901949] [nf = 3335382] [nu = 7419724] [ut = 11] % Looking for a proof at depth = 4 ... % t = 122 secs [nr = 39902717] [nf = 3335424] [nu = 7419968] [ut = 11] % Looking for a proof at depth = 5 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: big_p_1(a_0()) % B2: ~big_p_1(a_0()) | big_p_1(f_1(f_1(x0))) | big_p_1(x0) % B5: ~big_p_1(sk2_0()) | ~big_p_1(sk1_0()) | big_p_1(f_1(sk1_0())) | big_p_1(f_1(sk2_0())) % Unit Clauses: % -------------- % U0: < d0 v0 dv0 f0 c1 t1 td1 b nc > big_p_1(a_0()) % U1: < d8 v0 dv0 f2 c1 t3 td3 > ~big_p_1(f_1(f_1(sk1_0()))) % U2: < d8 v0 dv0 f2 c1 t3 td3 > ~big_p_1(f_1(f_1(sk2_0()))) % U5: < d8 v0 dv0 f1 c1 t2 td2 > ~big_p_1(f_1(sk2_0())) % U6: < d8 v0 dv0 f0 c1 t1 td1 > big_p_1(sk1_0()) % U8: < d8 v0 dv0 f1 c1 t2 td2 > ~big_p_1(f_1(sk1_0())) % U11: < d5 v0 dv0 f1 c1 t2 td2 > big_p_1(f_1(sk2_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U0: % big_p_1(a_0()) ....... U0 % Derivation of unit clause U1: % big_p_1(a_0()) ....... B0 % ~big_p_1(a_0()) | big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... B2 % big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... R1 [B0:L0, B2:L0] % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(f_1(f_1(sk1_0()))) ....... B1 % big_p_1(sk2_0()) | ~big_p_1(f_1(f_1(sk1_0()))) ....... R2 [R1:L0, B1:L0] % ~big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(sk2_0()) | big_p_1(f_1(sk2_0())) ....... B6 % ~big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(f_1(f_1(sk1_0()))) | big_p_1(f_1(sk2_0())) ....... R3 [R2:L0, B6:L1] % ~big_p_1(f_1(f_1(sk1_0()))) | big_p_1(f_1(sk2_0())) ....... R4 [R3:L0, R3:L1] % ~big_p_1(a_0()) | ~big_p_1(f_1(x0)) | big_p_1(f_1(f_1(x0))) ....... B3 % ~big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(a_0()) | big_p_1(f_1(f_1(sk2_0()))) ....... R5 [R4:L1, B3:L1] % big_p_1(a_0()) ....... U0 % ~big_p_1(f_1(f_1(sk1_0()))) | big_p_1(f_1(f_1(sk2_0()))) ....... R6 [R5:L1, U0:L0] % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(f_1(f_1(sk1_0()))) ....... B1 % ~big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(f_1(f_1(sk1_0()))) ....... R7 [R6:L1, B1:L0] % ~big_p_1(f_1(f_1(sk1_0()))) ....... R8 [R7:L0, R7:L1] % Derivation of unit clause U2: % big_p_1(a_0()) ....... B0 % ~big_p_1(a_0()) | big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... B2 % big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... R1 [B0:L0, B2:L0] % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(f_1(f_1(sk1_0()))) ....... B1 % big_p_1(sk1_0()) | ~big_p_1(f_1(f_1(sk2_0()))) ....... R2 [R1:L0, B1:L1] % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(sk1_0()) | big_p_1(f_1(sk1_0())) ....... B4 % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(f_1(f_1(sk2_0()))) | big_p_1(f_1(sk1_0())) ....... R3 [R2:L0, B4:L1] % ~big_p_1(f_1(f_1(sk2_0()))) | big_p_1(f_1(sk1_0())) ....... R4 [R3:L0, R3:L1] % ~big_p_1(a_0()) | ~big_p_1(f_1(x0)) | big_p_1(f_1(f_1(x0))) ....... B3 % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(a_0()) | big_p_1(f_1(f_1(sk1_0()))) ....... R5 [R4:L1, B3:L1] % big_p_1(a_0()) ....... U0 % ~big_p_1(f_1(f_1(sk2_0()))) | big_p_1(f_1(f_1(sk1_0()))) ....... R6 [R5:L1, U0:L0] % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(f_1(f_1(sk1_0()))) ....... B1 % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(f_1(f_1(sk2_0()))) ....... R7 [R6:L1, B1:L1] % ~big_p_1(f_1(f_1(sk2_0()))) ....... R8 [R7:L0, R7:L1] % Derivation of unit clause U5: % big_p_1(a_0()) ....... B0 % ~big_p_1(a_0()) | big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... B2 % big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... R1 [B0:L0, B2:L0] % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(sk1_0()) | big_p_1(f_1(sk1_0())) ....... B4 % big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(f_1(f_1(sk2_0()))) | big_p_1(f_1(sk1_0())) ....... R2 [R1:L1, B4:L1] % ~big_p_1(f_1(f_1(sk1_0()))) ....... U1 % ~big_p_1(f_1(f_1(sk2_0()))) | big_p_1(f_1(sk1_0())) ....... R3 [R2:L0, U1:L0] % ~big_p_1(a_0()) | ~big_p_1(f_1(x0)) | big_p_1(f_1(f_1(x0))) ....... B3 % ~big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(a_0()) | big_p_1(f_1(f_1(sk1_0()))) ....... R4 [R3:L1, B3:L1] % big_p_1(a_0()) ....... U0 % ~big_p_1(f_1(f_1(sk2_0()))) | big_p_1(f_1(f_1(sk1_0()))) ....... R5 [R4:L1, U0:L0] % ~big_p_1(a_0()) | ~big_p_1(f_1(x0)) | big_p_1(f_1(f_1(x0))) ....... B3 % big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(a_0()) | ~big_p_1(f_1(sk2_0())) ....... R6 [R5:L0, B3:L2] % ~big_p_1(f_1(f_1(sk1_0()))) ....... U1 % ~big_p_1(a_0()) | ~big_p_1(f_1(sk2_0())) ....... R7 [R6:L0, U1:L0] % big_p_1(a_0()) ....... U0 % ~big_p_1(f_1(sk2_0())) ....... R8 [R7:L0, U0:L0] % Derivation of unit clause U6: % big_p_1(a_0()) ....... B0 % ~big_p_1(a_0()) | big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... B2 % big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... R1 [B0:L0, B2:L0] % ~big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(sk2_0()) | big_p_1(f_1(sk2_0())) ....... B6 % big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(f_1(f_1(sk1_0()))) | big_p_1(f_1(sk2_0())) ....... R2 [R1:L1, B6:L1] % ~big_p_1(f_1(f_1(sk2_0()))) ....... U2 % ~big_p_1(f_1(f_1(sk1_0()))) | big_p_1(f_1(sk2_0())) ....... R3 [R2:L0, U2:L0] % ~big_p_1(a_0()) | big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... B2 % big_p_1(f_1(sk2_0())) | ~big_p_1(a_0()) | big_p_1(sk1_0()) ....... R4 [R3:L0, B2:L1] % big_p_1(a_0()) ....... U0 % big_p_1(f_1(sk2_0())) | big_p_1(sk1_0()) ....... R5 [R4:L1, U0:L0] % ~big_p_1(a_0()) | ~big_p_1(f_1(x0)) | big_p_1(f_1(f_1(x0))) ....... B3 % big_p_1(sk1_0()) | ~big_p_1(a_0()) | big_p_1(f_1(f_1(sk2_0()))) ....... R6 [R5:L0, B3:L1] % big_p_1(a_0()) ....... U0 % big_p_1(sk1_0()) | big_p_1(f_1(f_1(sk2_0()))) ....... R7 [R6:L1, U0:L0] % ~big_p_1(f_1(f_1(sk2_0()))) ....... U2 % big_p_1(sk1_0()) ....... R8 [R7:L1, U2:L0] % Derivation of unit clause U8: % big_p_1(a_0()) ....... B0 % ~big_p_1(a_0()) | big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... B2 % big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... R1 [B0:L0, B2:L0] % ~big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(sk2_0()) | big_p_1(f_1(sk2_0())) ....... B6 % big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(f_1(f_1(sk1_0()))) | big_p_1(f_1(sk2_0())) ....... R2 [R1:L1, B6:L1] % ~big_p_1(f_1(f_1(sk2_0()))) ....... U2 % ~big_p_1(f_1(f_1(sk1_0()))) | big_p_1(f_1(sk2_0())) ....... R3 [R2:L0, U2:L0] % ~big_p_1(a_0()) | ~big_p_1(f_1(x0)) | big_p_1(f_1(f_1(x0))) ....... B3 % ~big_p_1(f_1(f_1(sk1_0()))) | ~big_p_1(a_0()) | big_p_1(f_1(f_1(sk2_0()))) ....... R4 [R3:L1, B3:L1] % big_p_1(a_0()) ....... U0 % ~big_p_1(f_1(f_1(sk1_0()))) | big_p_1(f_1(f_1(sk2_0()))) ....... R5 [R4:L1, U0:L0] % ~big_p_1(a_0()) | ~big_p_1(f_1(x0)) | big_p_1(f_1(f_1(x0))) ....... B3 % big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(a_0()) | ~big_p_1(f_1(sk1_0())) ....... R6 [R5:L0, B3:L2] % ~big_p_1(f_1(f_1(sk2_0()))) ....... U2 % ~big_p_1(a_0()) | ~big_p_1(f_1(sk1_0())) ....... R7 [R6:L0, U2:L0] % big_p_1(a_0()) ....... U0 % ~big_p_1(f_1(sk1_0())) ....... R8 [R7:L0, U0:L0] % Derivation of unit clause U11: % ~big_p_1(a_0()) | big_p_1(f_1(f_1(x0))) | big_p_1(x0) ....... B2 % ~big_p_1(sk2_0()) | ~big_p_1(sk1_0()) | big_p_1(f_1(sk1_0())) | big_p_1(f_1(sk2_0())) ....... B5 % ~big_p_1(a_0()) | big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(sk1_0()) | big_p_1(f_1(sk1_0())) | big_p_1(f_1(sk2_0())) ....... R1 [B2:L2, B5:L0] % big_p_1(a_0()) ....... U0 % big_p_1(f_1(f_1(sk2_0()))) | ~big_p_1(sk1_0()) | big_p_1(f_1(sk1_0())) | big_p_1(f_1(sk2_0())) ....... R2 [R1:L0, U0:L0] % ~big_p_1(f_1(f_1(sk2_0()))) ....... U2 % ~big_p_1(sk1_0()) | big_p_1(f_1(sk1_0())) | big_p_1(f_1(sk2_0())) ....... R3 [R2:L0, U2:L0] % big_p_1(sk1_0()) ....... U6 % big_p_1(f_1(sk1_0())) | big_p_1(f_1(sk2_0())) ....... R4 [R3:L0, U6:L0] % ~big_p_1(f_1(sk1_0())) ....... U8 % big_p_1(f_1(sk2_0())) ....... R5 [R4:L0, U8:L0] % Derivation of the empty clause: % big_p_1(f_1(sk2_0())) ....... U11 % ~big_p_1(f_1(sk2_0())) ....... U5 % [] ....... R1 [U11:L0, U5:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 43239949 % resolvents: 39904287 factors: 3335662 % Number of unit clauses generated: 7420137 % % unit clauses generated to total clauses generated: 17.16 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 1 [5] = 1 [8] = 10 % Total = 12 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 7420137 [2] = 16201684 [3] = 19617559 [4] = 493 [5] = 76 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] big_p_1 (+)8 (-)4 % ------------------ % Total: (+)8 (-)4 % Total number of unit clauses retained: 12 % Number of clauses skipped because of their length: 38203291 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 4738915 % Number of successful unifications: 43239994 % Number of unification failures: 271314050 % Number of unit to unit unification failures: 30 % N literal unification failure due to lookup root_id table: 235895362 % N base clause resolution failure due to lookup table: 11111470 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 10 % N unit clauses dropped because they exceeded max values: 3520129 % N unit clauses dropped because too much nesting: 1225134 % 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: 5 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 11 % Total number of terms of all unit clauses in table: 33 % Max allowed number of states in UCFA: 56000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.33 % Number of symbols (columns) in UCFA: 39 % Profile 2: Number of calls to: % ============================== % PTUnify() = 314554044 % ConstructUnitClause() = 3520140 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 3.71 secs % -------------------------------------------------------- % | | % Inferences per sec: 357355 % | | % -------------------------------------------------------- % Elapsed time: 122 secs % CPU time: 121.00 secs % %------------------------------------------------------------------------------