%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : COL102-2 : 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 18:00:17 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/SystemOnTPTP15492/COL/COL102-2+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 = 32] [nf = 0] [nu = 24] [ut = 19] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: c_in_3(c_Pair_4(v_y_0(),v_za_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B1: c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B3: ~c_in_3(x0,x1,tc_prod_2(x2,x2)) | c_in_3(x0,c_Transitive__Closure_Ortrancl_2(x1,x2),tc_prod_2(x2,x2)) % B4: ~c_in_3(c_Pair_4(x0,x1,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_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,x2),c_Comb_Ocomb_Oop_A_D_D_2(x1,x2),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % B5: ~c_in_3(c_Pair_4(x4,x0,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) | ~c_in_3(c_Pair_4(x0,x1,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) | c_in_3(c_Pair_4(x4,x1,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) % Unit Clauses: % -------------- % U2: < d0 v0 dv0 f5 c10 t15 td3 b nc > ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % U4: < d1 v2 dv1 f4 c7 t13 td3 > c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),x0),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % U8: < d1 v2 dv1 f5 c8 t15 td3 > c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),x0),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % U19: < d2 v0 dv0 f5 c10 t15 td3 > c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U2 % Derivation of unit clause U4: % c_in_3(c_Pair_4(v_y_0(),v_za_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B0 % ~c_in_3(c_Pair_4(x0,x1,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_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,x2),c_Comb_Ocomb_Oop_A_D_D_2(x1,x2),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B4 % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(), x0), c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(), x0), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Ocontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B0:L0, B4:L0] % Derivation of unit clause U8: % ~c_in_3(x0,x1,tc_prod_2(x2,x2)) | c_in_3(x0,c_Transitive__Closure_Ortrancl_2(x1,x2),tc_prod_2(x2,x2)) ....... B3 % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),x0),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U4 % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(), x0), c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(), x0), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(), tc_Comb_Ocomb_0()), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B3:L0, U4:L0] % Derivation of unit clause U19: % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B1 % ~c_in_3(c_Pair_4(x4,x0,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) | ~c_in_3(c_Pair_4(x0,x1,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) | c_in_3(c_Pair_4(x4,x1,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) ....... B5 % ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(), v_z_0()), x0, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(), tc_Comb_Ocomb_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_x_0(), v_z_0()), x0, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(), tc_Comb_Ocomb_0()), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B1:L0, B5:L0] % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),x0),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U8 % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(), v_z_0()), c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(), v_z_0()), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(), tc_Comb_Ocomb_0()), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R2 [R1:L0, U8:L0] % Derivation of the empty clause: % c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U19 % ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U2 % [] ....... R1 [U19:L0, U2:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 37 % resolvents: 37 factors: 0 % Number of unit clauses generated: 28 % % unit clauses generated to total clauses generated: 75.68 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 3 [1] = 16 [2] = 1 % Total = 20 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 28 [2] = 9 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)17 (-)3 % ------------------ % Total: (+)17 (-)3 % Total number of unit clauses retained: 20 % Number of clauses skipped because of their length: 2 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 41 % Number of unification failures: 6 % Number of unit to unit unification failures: 48 % N literal unification failure due to lookup root_id table: 32 % N base clause resolution failure due to lookup table: 5 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 4 % N unit clauses dropped because they exceeded max values: 8 % N unit clauses dropped because too much nesting: 4 % 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: 21 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 173 % Total number of terms of all unit clauses in table: 312 % Max allowed number of states in UCFA: 184000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.55 % Number of symbols (columns) in UCFA: 45 % Profile 2: Number of calls to: % ============================== % PTUnify() = 47 % ConstructUnitClause() = 25 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.20 secs % %------------------------------------------------------------------------------