%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN004-1.007 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art09.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 08:21:46 EST 2010 % Result : Unsatisfiable 0.19s % Output : Refutation 0.19s % 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/SystemOnTPTP30436/SYN/SYN004-1.007+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 = 4] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 22] [nf = 0] [nu = 4] [ut = 4] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 48] [nf = 0] [nu = 8] [ut = 4] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 110] [nf = 0] [nu = 28] [ut = 6] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 212] [nf = 0] [nu = 48] [ut = 6] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 478] [nf = 0] [nu = 148] [ut = 8] % Looking for a proof at depth = 7 ... % t = 0 secs [nr = 952] [nf = 0] [nu = 248] [ut = 8] % Looking for a proof at depth = 8 ... % t = 0 secs [nr = 2262] [nf = 0] [nu = 764] [ut = 10] % Looking for a proof at depth = 9 ... % t = 0 secs [nr = 4724] [nf = 0] [nu = 1280] [ut = 10] % Looking for a proof at depth = 10 ... % t = 0 secs [nr = 16874] [nf = 244] [nu = 6128] [ut = 12] % Looking for a proof at depth = 11 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p_1 % B2: ~p_1 | ~q_1 | p_2 % B3: ~p_1 | ~q_1 | q_2 % B12: ~p_6 | ~q_6 | p_7 % B14: ~p_7 | ~q_7 % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c0 t0 td0 b nc > q_1 % U3: < d2 v0 dv0 f0 c0 t0 td0 > q_2 % U4: < d4 v0 dv0 f0 c0 t0 td0 > p_3 % U5: < d4 v0 dv0 f0 c0 t0 td0 > q_3 % U6: < d6 v0 dv0 f0 c0 t0 td0 > p_4 % U7: < d6 v0 dv0 f0 c0 t0 td0 > q_4 % U8: < d8 v0 dv0 f0 c0 t0 td0 > p_5 % U9: < d8 v0 dv0 f0 c0 t0 td0 > q_5 % U10: < d10 v0 dv0 f0 c0 t0 td0 > p_6 % U11: < d10 v0 dv0 f0 c0 t0 td0 > q_6 % U13: < d11 v0 dv0 f0 c0 t0 td0 > ~q_6 % --------------- Start of Proof --------------- % Derivation of unit clause U1: % q_1 ....... U1 % Derivation of unit clause U3: % p_1 ....... B0 % ~p_1 | ~q_1 | q_2 ....... B3 % ~q_1 | q_2 ....... R1 [B0:L0, B3:L0] % q_1 ....... U1 % q_2 ....... R2 [R1:L0, U1:L0] % Derivation of unit clause U4: % p_1 ....... B0 % ~p_1 | ~q_1 | p_2 ....... B2 % ~q_1 | p_2 ....... R1 [B0:L0, B2:L0] % ~p_2 | ~q_2 | p_3 ....... B4 % ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0] % q_1 ....... U1 % ~q_2 | p_3 ....... R3 [R2:L0, U1:L0] % q_2 ....... U3 % p_3 ....... R4 [R3:L0, U3:L0] % Derivation of unit clause U5: % p_1 ....... B0 % ~p_1 | ~q_1 | p_2 ....... B2 % ~q_1 | p_2 ....... R1 [B0:L0, B2:L0] % ~p_2 | ~q_2 | q_3 ....... B5 % ~q_1 | ~q_2 | q_3 ....... R2 [R1:L1, B5:L0] % q_1 ....... U1 % ~q_2 | q_3 ....... R3 [R2:L0, U1:L0] % q_2 ....... U3 % q_3 ....... R4 [R3:L0, U3:L0] % Derivation of unit clause U6: % p_1 ....... B0 % ~p_1 | ~q_1 | p_2 ....... B2 % ~q_1 | p_2 ....... R1 [B0:L0, B2:L0] % ~p_2 | ~q_2 | p_3 ....... B4 % ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0] % q_1 ....... U1 % ~q_2 | p_3 ....... R3 [R2:L0, U1:L0] % ~p_3 | ~q_3 | p_4 ....... B6 % ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0] % q_2 ....... U3 % ~q_3 | p_4 ....... R5 [R4:L0, U3:L0] % q_3 ....... U5 % p_4 ....... R6 [R5:L0, U5:L0] % Derivation of unit clause U7: % p_1 ....... B0 % ~p_1 | ~q_1 | p_2 ....... B2 % ~q_1 | p_2 ....... R1 [B0:L0, B2:L0] % ~p_2 | ~q_2 | p_3 ....... B4 % ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0] % q_1 ....... U1 % ~q_2 | p_3 ....... R3 [R2:L0, U1:L0] % ~p_3 | ~q_3 | q_4 ....... B7 % ~q_2 | ~q_3 | q_4 ....... R4 [R3:L1, B7:L0] % q_2 ....... U3 % ~q_3 | q_4 ....... R5 [R4:L0, U3:L0] % q_3 ....... U5 % q_4 ....... R6 [R5:L0, U5:L0] % Derivation of unit clause U8: % p_1 ....... B0 % ~p_1 | ~q_1 | p_2 ....... B2 % ~q_1 | p_2 ....... R1 [B0:L0, B2:L0] % ~p_2 | ~q_2 | p_3 ....... B4 % ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0] % q_1 ....... U1 % ~q_2 | p_3 ....... R3 [R2:L0, U1:L0] % ~p_3 | ~q_3 | p_4 ....... B6 % ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0] % q_2 ....... U3 % ~q_3 | p_4 ....... R5 [R4:L0, U3:L0] % ~p_4 | ~q_4 | p_5 ....... B8 % ~q_3 | ~q_4 | p_5 ....... R6 [R5:L1, B8:L0] % q_3 ....... U5 % ~q_4 | p_5 ....... R7 [R6:L0, U5:L0] % q_4 ....... U7 % p_5 ....... R8 [R7:L0, U7:L0] % Derivation of unit clause U9: % p_1 ....... B0 % ~p_1 | ~q_1 | p_2 ....... B2 % ~q_1 | p_2 ....... R1 [B0:L0, B2:L0] % ~p_2 | ~q_2 | p_3 ....... B4 % ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0] % q_1 ....... U1 % ~q_2 | p_3 ....... R3 [R2:L0, U1:L0] % ~p_3 | ~q_3 | p_4 ....... B6 % ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0] % q_2 ....... U3 % ~q_3 | p_4 ....... R5 [R4:L0, U3:L0] % ~p_4 | ~q_4 | q_5 ....... B9 % ~q_3 | ~q_4 | q_5 ....... R6 [R5:L1, B9:L0] % q_3 ....... U5 % ~q_4 | q_5 ....... R7 [R6:L0, U5:L0] % q_4 ....... U7 % q_5 ....... R8 [R7:L0, U7:L0] % Derivation of unit clause U10: % p_1 ....... B0 % ~p_1 | ~q_1 | p_2 ....... B2 % ~q_1 | p_2 ....... R1 [B0:L0, B2:L0] % ~p_2 | ~q_2 | p_3 ....... B4 % ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0] % q_1 ....... U1 % ~q_2 | p_3 ....... R3 [R2:L0, U1:L0] % ~p_3 | ~q_3 | p_4 ....... B6 % ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0] % q_2 ....... U3 % ~q_3 | p_4 ....... R5 [R4:L0, U3:L0] % ~p_4 | ~q_4 | p_5 ....... B8 % ~q_3 | ~q_4 | p_5 ....... R6 [R5:L1, B8:L0] % q_3 ....... U5 % ~q_4 | p_5 ....... R7 [R6:L0, U5:L0] % ~p_5 | ~q_5 | p_6 ....... B10 % ~q_4 | ~q_5 | p_6 ....... R8 [R7:L1, B10:L0] % q_4 ....... U7 % ~q_5 | p_6 ....... R9 [R8:L0, U7:L0] % q_5 ....... U9 % p_6 ....... R10 [R9:L0, U9:L0] % Derivation of unit clause U11: % p_1 ....... B0 % ~p_1 | ~q_1 | p_2 ....... B2 % ~q_1 | p_2 ....... R1 [B0:L0, B2:L0] % ~p_2 | ~q_2 | p_3 ....... B4 % ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0] % q_1 ....... U1 % ~q_2 | p_3 ....... R3 [R2:L0, U1:L0] % ~p_3 | ~q_3 | p_4 ....... B6 % ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0] % q_2 ....... U3 % ~q_3 | p_4 ....... R5 [R4:L0, U3:L0] % ~p_4 | ~q_4 | p_5 ....... B8 % ~q_3 | ~q_4 | p_5 ....... R6 [R5:L1, B8:L0] % q_3 ....... U5 % ~q_4 | p_5 ....... R7 [R6:L0, U5:L0] % ~p_5 | ~q_5 | q_6 ....... B11 % ~q_4 | ~q_5 | q_6 ....... R8 [R7:L1, B11:L0] % q_4 ....... U7 % ~q_5 | q_6 ....... R9 [R8:L0, U7:L0] % q_5 ....... U9 % q_6 ....... R10 [R9:L0, U9:L0] % Derivation of unit clause U13: % ~p_6 | ~q_6 | p_7 ....... B12 % ~p_7 | ~q_7 ....... B14 % ~p_6 | ~q_6 | ~q_7 ....... R1 [B12:L2, B14:L0] % p_6 ....... U10 % ~q_6 | ~q_7 ....... R2 [R1:L0, U10:L0] % ~p_5 | ~q_5 | q_6 ....... B11 % ~q_7 | ~p_5 | ~q_5 ....... R3 [R2:L0, B11:L2] % p_5 ....... U8 % ~q_7 | ~q_5 ....... R4 [R3:L1, U8:L0] % ~p_4 | ~q_4 | q_5 ....... B9 % ~q_7 | ~p_4 | ~q_4 ....... R5 [R4:L1, B9:L2] % p_4 ....... U6 % ~q_7 | ~q_4 ....... R6 [R5:L1, U6:L0] % ~p_3 | ~q_3 | q_4 ....... B7 % ~q_7 | ~p_3 | ~q_3 ....... R7 [R6:L1, B7:L2] % p_3 ....... U4 % ~q_7 | ~q_3 ....... R8 [R7:L1, U4:L0] % ~p_6 | ~q_6 | q_7 ....... B13 % ~q_3 | ~p_6 | ~q_6 ....... R9 [R8:L0, B13:L2] % q_3 ....... U5 % ~p_6 | ~q_6 ....... R10 [R9:L0, U5:L0] % p_6 ....... U10 % ~q_6 ....... R11 [R10:L0, U10:L0] % Derivation of the empty clause: % ~q_6 ....... U13 % q_6 ....... U11 % [] ....... R1 [U13:L0, U11:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 30736 % resolvents: 30492 factors: 244 % Number of unit clauses generated: 8955 % % unit clauses generated to total clauses generated: 29.14 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [2] = 2 [4] = 2 [6] = 2 [8] = 2 [10] = 2 [11] = 2 % Total = 14 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 8955 [2] = 8293 [3] = 13488 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] p_1 (+)1 (-)0 % [1] p_2 (+)1 (-)0 % [2] p_3 (+)1 (-)0 % [3] p_4 (+)1 (-)0 % [4] p_5 (+)1 (-)0 % [5] p_6 (+)1 (-)0 % [6] p_7 (+)0 (-)0 % [7] q_1 (+)1 (-)0 % [8] q_2 (+)1 (-)0 % [9] q_3 (+)1 (-)0 % [10] q_4 (+)1 (-)0 % [11] q_5 (+)1 (-)0 % [12] q_6 (+)1 (-)1 % [13] q_7 (+)0 (-)1 % ------------------ % Total: (+)12 (-)2 % Total number of unit clauses retained: 14 % Number of clauses skipped because of their length: 43562 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 30805 % Number of unification failures: 0 % Number of unit to unit unification failures: 0 % N literal unification failure due to lookup root_id table: 102971 % N base clause resolution failure due to lookup table: 89796 % 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: 2811 % 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: 0 % Max term depth in a unit clause: 0 % Number of states in UCFA table: 3 % Total number of terms of all unit clauses in table: 0 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: inf % Number of symbols (columns) in UCFA: 48 % Profile 2: Number of calls to: % ============================== % PTUnify() = 30805 % ConstructUnitClause() = 2823 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.19 secs % %------------------------------------------------------------------------------