%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : PUZ008-2 : TPTP v5.0.0. Released v1.0.0. % 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 03:51:52 EST 2010 % Result : Unsatisfiable 0.20s % Output : Refutation 0.20s % 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/SystemOnTPTP21673/PUZ/PUZ008-2+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 = 77] [nf = 0] [nu = 17] [ut = 9] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~banks_3(west_2(m_1(n0_0()),c_1(n0_0())),east_2(m_1(n3_0()),c_1(n3_0())),boatoneast_0()) % B1: banks_3(west_2(m_1(n3_0()),c_1(n3_0())),east_2(m_1(n0_0()),c_1(n0_0())),boatonwest_0()) % B3: ~banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n1_0())),east_2(m_1(n3_0()),c_1(n2_0())),boatoneast_0()) % B4: ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n0_0())),east_2(m_1(n3_0()),c_1(n3_0())),boatoneast_0()) % B6: ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatoneast_0()) | banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) % B10: ~banks_3(west_2(m_1(n0_0()),c_1(n1_0())),east_2(m_1(n3_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) % B13: ~banks_3(west_2(m_1(n3_0()),c_1(n0_0())),east_2(m_1(n0_0()),c_1(n3_0())),boatoneast_0()) | banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) % B14: ~banks_3(west_2(m_1(n3_0()),c_1(n3_0())),east_2(m_1(n0_0()),c_1(n0_0())),boatonwest_0()) | banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) % B16: ~banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n3_0()),c_1(n0_0())),east_2(m_1(n0_0()),c_1(n3_0())),boatoneast_0()) % B21: ~banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) | banks_3(west_2(m_1(n1_0()),c_1(n1_0())),east_2(m_1(n2_0()),c_1(n2_0())),boatoneast_0()) % B23: ~banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) % B24: ~banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatoneast_0()) % B31: ~banks_3(west_2(m_1(n1_0()),c_1(n1_0())),east_2(m_1(n2_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) % Unit Clauses: % -------------- % U2: < d1 v0 dv0 f6 c5 t11 td3 > ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) % U5: < d1 v0 dv0 f6 c5 t11 td3 > banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) % U8: < d1 v0 dv0 f6 c5 t11 td3 > banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) % U10: < d2 v0 dv0 f6 c5 t11 td3 > ~banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) % U11: < d2 v0 dv0 f6 c5 t11 td3 > ~banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) % U12: < d2 v0 dv0 f6 c5 t11 td3 > banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) % U14: < d2 v0 dv0 f6 c5 t11 td3 > banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % ~banks_3(west_2(m_1(n0_0()),c_1(n0_0())),east_2(m_1(n3_0()),c_1(n3_0())),boatoneast_0()) ....... B0 % ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n0_0())),east_2(m_1(n3_0()),c_1(n3_0())),boatoneast_0()) ....... B4 % ~banks_3(west_2(m_1(n0_0()), c_1(n2_0())), east_2(m_1(n3_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B0:L0, B4:L1] % Derivation of unit clause U5: % banks_3(west_2(m_1(n3_0()),c_1(n3_0())),east_2(m_1(n0_0()),c_1(n0_0())),boatonwest_0()) ....... B1 % ~banks_3(west_2(m_1(n3_0()),c_1(n3_0())),east_2(m_1(n0_0()),c_1(n0_0())),boatonwest_0()) | banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) ....... B14 % banks_3(west_2(m_1(n3_0()), c_1(n1_0())), east_2(m_1(n0_0()), c_1(n2_0())), boatoneast_0()) ....... R1 [B1:L0, B14:L0] % Derivation of unit clause U8: % ~banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) ....... B23 % banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) ....... U5 % banks_3(west_2(m_1(n3_0()), c_1(n2_0())), east_2(m_1(n0_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B23:L0, U5:L0] % Derivation of unit clause U10: % ~banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n1_0())),east_2(m_1(n3_0()),c_1(n2_0())),boatoneast_0()) ....... B3 % ~banks_3(west_2(m_1(n0_0()),c_1(n1_0())),east_2(m_1(n3_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) ....... B10 % ~banks_3(west_2(m_1(n0_0()), c_1(n3_0())), east_2(m_1(n3_0()), c_1(n0_0())), boatonwest_0()) | banks_3(west_2(m_1(n0_0()), c_1(n2_0())), east_2(m_1(n3_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B3:L1, B10:L0] % ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) ....... U2 % ~banks_3(west_2(m_1(n0_0()), c_1(n3_0())), east_2(m_1(n3_0()), c_1(n0_0())), boatonwest_0()) ....... R2 [R1:L1, U2:L0] % Derivation of unit clause U11: % ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatoneast_0()) | banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) ....... B6 % ~banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatoneast_0()) ....... B24 % banks_3(west_2(m_1(n0_0()), c_1(n3_0())), east_2(m_1(n3_0()), c_1(n0_0())), boatonwest_0()) | ~banks_3(west_2(m_1(n2_0()), c_1(n2_0())), east_2(m_1(n1_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B6:L0, B24:L1] % ~banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) ....... U10 % ~banks_3(west_2(m_1(n2_0()), c_1(n2_0())), east_2(m_1(n1_0()), c_1(n1_0())), boatonwest_0()) ....... R2 [R1:L0, U10:L0] % Derivation of unit clause U12: % ~banks_3(west_2(m_1(n3_0()),c_1(n0_0())),east_2(m_1(n0_0()),c_1(n3_0())),boatoneast_0()) | banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) ....... B13 % ~banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n3_0()),c_1(n0_0())),east_2(m_1(n0_0()),c_1(n3_0())),boatoneast_0()) ....... B16 % banks_3(west_2(m_1(n3_0()), c_1(n1_0())), east_2(m_1(n0_0()), c_1(n2_0())), boatonwest_0()) | ~banks_3(west_2(m_1(n3_0()), c_1(n2_0())), east_2(m_1(n0_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B13:L0, B16:L1] % banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) ....... U8 % banks_3(west_2(m_1(n3_0()), c_1(n1_0())), east_2(m_1(n0_0()), c_1(n2_0())), boatonwest_0()) ....... R2 [R1:L1, U8:L0] % Derivation of unit clause U14: % ~banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) | banks_3(west_2(m_1(n1_0()),c_1(n1_0())),east_2(m_1(n2_0()),c_1(n2_0())),boatoneast_0()) ....... B21 % ~banks_3(west_2(m_1(n1_0()),c_1(n1_0())),east_2(m_1(n2_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) ....... B31 % ~banks_3(west_2(m_1(n3_0()), c_1(n1_0())), east_2(m_1(n0_0()), c_1(n2_0())), boatonwest_0()) | banks_3(west_2(m_1(n2_0()), c_1(n2_0())), east_2(m_1(n1_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B21:L1, B31:L0] % banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) ....... U12 % banks_3(west_2(m_1(n2_0()), c_1(n2_0())), east_2(m_1(n1_0()), c_1(n1_0())), boatonwest_0()) ....... R2 [R1:L0, U12:L0] % Derivation of the empty clause: % banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) ....... U14 % ~banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) ....... U11 % [] ....... R1 [U14:L0, U11:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 426 % resolvents: 426 factors: 0 % Number of unit clauses generated: 78 % % unit clauses generated to total clauses generated: 18.31 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [1] = 7 [2] = 6 % Total = 15 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 78 [2] = 348 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] banks_3 (+)7 (-)8 % ------------------ % Total: (+)7 (-)8 % Total number of unit clauses retained: 15 % 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: 437 % Number of unification failures: 0 % Number of unit to unit unification failures: 55 % N literal unification failure due to lookup root_id table: 1889 % N base clause resolution failure due to lookup table: 3810 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 0 % N unit clauses dropped because they exceeded max values: 44 % N unit clauses dropped because too much nesting: 0 % 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: 11 % Max term depth in a unit clause: 3 % Number of states in UCFA table: 85 % Total number of terms of all unit clauses in table: 165 % Max allowed number of states in UCFA: 176000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.52 % Number of symbols (columns) in UCFA: 45 % Profile 2: Number of calls to: % ============================== % PTUnify() = 437 % ConstructUnitClause() = 57 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.19 secs % %------------------------------------------------------------------------------