%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : COL110-2 : 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 : Sat Nov 27 18:01:39 EST 2010 % Result : Unsatisfiable 0.21s % Output : Refutation 0.21s % 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/SystemOnTPTP15864/COL/COL110-2+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 = 26] [nf = 0] [nu = 8] [ut = 6] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 604] [nf = 10] [nu = 368] [ut = 83] % 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(c_Pair_4(v_x_0(),v_yb_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B1: c_in_3(c_Pair_4(v_z_0(),v_wa_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B2: ~c_in_3(c_Pair_4(v_x_0(),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(x0,v_xb_1(x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B3: ~c_in_3(c_Pair_4(v_x_0(),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(v_ya_0(),v_xb_1(x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B4: ~c_in_3(c_Pair_4(v_z_0(),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(v_w_0(),v_xaa_1(x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B5: ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_ya_0(),v_w_0()),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_yb_0(),v_wa_0()),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B6: ~c_in_3(c_Pair_4(v_z_0(),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(x0,v_xaa_1(x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B7: ~c_in_3(c_Pair_4(x2,x3,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(x0,x1,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(x2,x0),c_Comb_Ocomb_Oop_A_D_D_2(x3,x1),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % Unit Clauses: % -------------- % U0: < d0 v0 dv0 f2 c7 t9 td2 b nc > c_in_3(c_Pair_4(v_x_0(),v_yb_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % U3: < d1 v0 dv0 f3 c7 t10 td3 > c_in_3(c_Pair_4(v_ya_0(),v_xb_1(v_yb_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % U4: < d1 v0 dv0 f3 c7 t10 td3 > c_in_3(c_Pair_4(v_w_0(),v_xaa_1(v_wa_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % U5: < d1 v0 dv0 f3 c7 t10 td3 > c_in_3(c_Pair_4(v_wa_0(),v_xaa_1(v_wa_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % U85: < d3 v0 dv0 f6 c9 t15 td4 > c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_yb_0(),v_wa_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_xb_1(v_yb_0()),v_xaa_1(v_wa_0())),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % U215: < d3 v0 dv0 f3 c7 t10 td3 > ~c_in_3(c_Pair_4(v_w_0(),v_xaa_1(v_wa_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U0: % c_in_3(c_Pair_4(v_x_0(),v_yb_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U0 % Derivation of unit clause U3: % c_in_3(c_Pair_4(v_x_0(),v_yb_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B0 % ~c_in_3(c_Pair_4(v_x_0(),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(v_ya_0(),v_xb_1(x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B3 % c_in_3(c_Pair_4(v_ya_0(), v_xb_1(v_yb_0()), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B0:L0, B3:L0] % Derivation of unit clause U4: % c_in_3(c_Pair_4(v_z_0(),v_wa_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B1 % ~c_in_3(c_Pair_4(v_z_0(),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(v_w_0(),v_xaa_1(x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B4 % c_in_3(c_Pair_4(v_w_0(), v_xaa_1(v_wa_0()), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B1:L0, B4:L0] % Derivation of unit clause U5: % c_in_3(c_Pair_4(v_z_0(),v_wa_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B1 % ~c_in_3(c_Pair_4(v_z_0(),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(x0,v_xaa_1(x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B6 % c_in_3(c_Pair_4(v_wa_0(), v_xaa_1(v_wa_0()), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B1:L0, B6:L0] % Derivation of unit clause U85: % ~c_in_3(c_Pair_4(v_x_0(),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(x0,v_xb_1(x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B2 % ~c_in_3(c_Pair_4(x2,x3,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(x0,x1,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(x2,x0),c_Comb_Ocomb_Oop_A_D_D_2(x3,x1),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B7 % ~c_in_3(c_Pair_4(v_x_0(), x0, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(x1, x2, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(x0, x1), c_Comb_Ocomb_Oop_A_D_D_2(v_xb_1(x0), x2), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B2:L1, B7:L0] % c_in_3(c_Pair_4(v_x_0(),v_yb_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U0 % ~c_in_3(c_Pair_4(x0, x1, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_yb_0(), x0), c_Comb_Ocomb_Oop_A_D_D_2(v_xb_1(v_yb_0()), x1), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R2 [R1:L0, U0:L0] % c_in_3(c_Pair_4(v_wa_0(),v_xaa_1(v_wa_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U5 % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_yb_0(), v_wa_0()), c_Comb_Ocomb_Oop_A_D_D_2(v_xb_1(v_yb_0()), v_xaa_1(v_wa_0())), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R3 [R2:L0, U5:L0] % Derivation of unit clause U215: % ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_ya_0(),v_w_0()),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_yb_0(),v_wa_0()),x0,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B5 % ~c_in_3(c_Pair_4(x2,x3,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(x0,x1,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(x2,x0),c_Comb_Ocomb_Oop_A_D_D_2(x3,x1),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B7 % ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_yb_0(), v_wa_0()), c_Comb_Ocomb_Oop_A_D_D_2(x0, x1), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(v_ya_0(), x0, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(v_w_0(), x1, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B5:L0, B7:L2] % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_yb_0(),v_wa_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_xb_1(v_yb_0()),v_xaa_1(v_wa_0())),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U85 % ~c_in_3(c_Pair_4(v_ya_0(), v_xb_1(v_yb_0()), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) | ~c_in_3(c_Pair_4(v_w_0(), v_xaa_1(v_wa_0()), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R2 [R1:L0, U85:L0] % c_in_3(c_Pair_4(v_ya_0(),v_xb_1(v_yb_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U3 % ~c_in_3(c_Pair_4(v_w_0(), v_xaa_1(v_wa_0()), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Oparcontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R3 [R2:L0, U3:L0] % Derivation of the empty clause: % ~c_in_3(c_Pair_4(v_w_0(),v_xaa_1(v_wa_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U215 % c_in_3(c_Pair_4(v_w_0(),v_xaa_1(v_wa_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Oparcontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U4 % [] ....... R1 [U215:L0, U4:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 6073 % resolvents: 6001 factors: 72 % Number of unit clauses generated: 2668 % % unit clauses generated to total clauses generated: 43.93 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [1] = 4 [2] = 77 [3] = 133 % Total = 216 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 2668 [2] = 3318 [3] = 87 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)215 (-)1 % ------------------ % Total: (+)215 (-)1 % Total number of unit clauses retained: 216 % Number of clauses skipped because of their length: 1101 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 6082 % Number of unification failures: 6460 % Number of unit to unit unification failures: 4 % N literal unification failure due to lookup root_id table: 179168 % N base clause resolution failure due to lookup table: 2319 % N UC-BCL resolution dropped due to lookup table: 159 % Max entries in substitution set: 6 % N unit clauses dropped because they exceeded max values: 2105 % N unit clauses dropped because too much nesting: 1312 % 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: 19 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 2656 % Total number of terms of all unit clauses in table: 3781 % Max allowed number of states in UCFA: 168000 % Ratio n states used/total allowed states: 0.02 % Ratio n states used/total unit clauses terms: 0.70 % Number of symbols (columns) in UCFA: 48 % Profile 2: Number of calls to: % ============================== % PTUnify() = 12542 % ConstructUnitClause() = 2319 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.20 secs % %------------------------------------------------------------------------------