%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : COL123-2 : TPTP v5.0.0. Released v3.2.0. % 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 : Sat Nov 27 18:03:55 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/SystemOnTPTP18915/COL/COL123-2+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 = 40] [nf = 0] [nu = 26] [ut = 20] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 377] [nf = 22] [nu = 185] [ut = 37] % 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_y_0(),v_z_0(),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % B1: c_in_3(c_Pair_4(v_x_0(),v_xb_0(),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % B2: ~c_in_3(c_Pair_4(v_xb_0(),x0,t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) | ~c_in_3(c_Pair_4(v_z_0(),x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % B3: ~c_in_3(c_Pair_4(v_x_0(),x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | c_in_3(c_Pair_4(v_y_0(),v_xaa_1(x0),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % B4: ~c_in_3(c_Pair_4(v_x_0(),x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | c_in_3(c_Pair_4(x0,v_xaa_1(x0),t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) % B5: ~c_in_3(c_Pair_4(x1,x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | ~c_in_3(c_Pair_4(x1,x2,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | c_in_3(c_Pair_4(x0,v_xa_3(x1,x0,x2),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % B6: ~c_in_3(c_Pair_4(x1,x2,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | ~c_in_3(c_Pair_4(x1,x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | c_in_3(c_Pair_4(x0,v_xa_3(x1,x2,x0),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % B8: ~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: % -------------- % U3: < d1 v0 dv0 f3 c7 t10 td3 > c_in_3(c_Pair_4(v_y_0(),v_xaa_1(v_xb_0()),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % U4: < d1 v0 dv0 f4 c8 t12 td3 > c_in_3(c_Pair_4(v_xb_0(),v_xaa_1(v_xb_0()),t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) % U21: < d2 v0 dv0 f4 c9 t13 td4 > c_in_3(c_Pair_4(v_z_0(),v_xa_3(v_y_0(),v_z_0(),v_xaa_1(v_xb_0())),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % U42: < d3 v0 dv0 f6 c10 t16 td4 > c_in_3(c_Pair_4(v_xaa_1(v_xb_0()),v_xa_3(v_y_0(),v_z_0(),v_xaa_1(v_xb_0())),t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) % U49: < d3 v0 dv0 f6 c10 t16 td4 > ~c_in_3(c_Pair_4(v_xaa_1(v_xb_0()),v_xa_3(v_y_0(),v_z_0(),v_xaa_1(v_xb_0())),t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U3: % c_in_3(c_Pair_4(v_x_0(),v_xb_0(),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B1 % ~c_in_3(c_Pair_4(v_x_0(),x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | c_in_3(c_Pair_4(v_y_0(),v_xaa_1(x0),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B3 % c_in_3(c_Pair_4(v_y_0(), v_xaa_1(v_xb_0()), t_a_0(), t_a_0()), v_r_0(), tc_prod_2(t_a_0(), t_a_0())) ....... R1 [B1:L0, B3:L0] % Derivation of unit clause U4: % c_in_3(c_Pair_4(v_x_0(),v_xb_0(),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B1 % ~c_in_3(c_Pair_4(v_x_0(),x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | c_in_3(c_Pair_4(x0,v_xaa_1(x0),t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) ....... B4 % c_in_3(c_Pair_4(v_xb_0(), v_xaa_1(v_xb_0()), t_a_0(), t_a_0()), c_Transitive__Closure_Ortrancl_2(v_r_0(), t_a_0()), tc_prod_2(t_a_0(), t_a_0())) ....... R1 [B1:L0, B4:L0] % Derivation of unit clause U21: % c_in_3(c_Pair_4(v_y_0(),v_z_0(),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B0 % ~c_in_3(c_Pair_4(x1,x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | ~c_in_3(c_Pair_4(x1,x2,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | c_in_3(c_Pair_4(x0,v_xa_3(x1,x0,x2),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B5 % ~c_in_3(c_Pair_4(v_y_0(), x0, t_a_0(), t_a_0()), v_r_0(), tc_prod_2(t_a_0(), t_a_0())) | c_in_3(c_Pair_4(v_z_0(), v_xa_3(v_y_0(), v_z_0(), x0), t_a_0(), t_a_0()), v_r_0(), tc_prod_2(t_a_0(), t_a_0())) ....... R1 [B0:L0, B5:L0] % c_in_3(c_Pair_4(v_y_0(),v_xaa_1(v_xb_0()),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... U3 % c_in_3(c_Pair_4(v_z_0(), v_xa_3(v_y_0(), v_z_0(), v_xaa_1(v_xb_0())), t_a_0(), t_a_0()), v_r_0(), tc_prod_2(t_a_0(), t_a_0())) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U42: % c_in_3(c_Pair_4(v_y_0(),v_z_0(),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B0 % ~c_in_3(c_Pair_4(x1,x2,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | ~c_in_3(c_Pair_4(x1,x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) | c_in_3(c_Pair_4(x0,v_xa_3(x1,x2,x0),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B6 % ~c_in_3(c_Pair_4(v_y_0(), x0, t_a_0(), t_a_0()), v_r_0(), tc_prod_2(t_a_0(), t_a_0())) | c_in_3(c_Pair_4(x0, v_xa_3(v_y_0(), v_z_0(), x0), t_a_0(), t_a_0()), v_r_0(), tc_prod_2(t_a_0(), t_a_0())) ....... R1 [B0:L0, B6:L0] % ~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)) ....... B7 % ~c_in_3(c_Pair_4(v_y_0(), x0, t_a_0(), t_a_0()), v_r_0(), tc_prod_2(t_a_0(), t_a_0())) | c_in_3(c_Pair_4(x0, v_xa_3(v_y_0(), v_z_0(), x0), t_a_0(), t_a_0()), c_Transitive__Closure_Ortrancl_2(v_r_0(), t_a_0()), tc_prod_2(t_a_0(), t_a_0())) ....... R2 [R1:L1, B7:L0] % c_in_3(c_Pair_4(v_y_0(),v_xaa_1(v_xb_0()),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... U3 % c_in_3(c_Pair_4(v_xaa_1(v_xb_0()), v_xa_3(v_y_0(), v_z_0(), v_xaa_1(v_xb_0())), t_a_0(), t_a_0()), c_Transitive__Closure_Ortrancl_2(v_r_0(), t_a_0()), tc_prod_2(t_a_0(), t_a_0())) ....... R3 [R2:L0, U3:L0] % Derivation of unit clause U49: % ~c_in_3(c_Pair_4(v_xb_0(),x0,t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) | ~c_in_3(c_Pair_4(v_z_0(),x0,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B2 % ~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)) ....... B8 % ~c_in_3(c_Pair_4(v_z_0(), x0, t_a_0(), t_a_0()), v_r_0(), tc_prod_2(t_a_0(), t_a_0())) | ~c_in_3(c_Pair_4(v_xb_0(), x1, t_a_0(), t_a_0()), c_Transitive__Closure_Ortrancl_2(v_r_0(), t_a_0()), tc_prod_2(t_a_0(), t_a_0())) | ~c_in_3(c_Pair_4(x1, x0, t_a_0(), t_a_0()), c_Transitive__Closure_Ortrancl_2(v_r_0(), t_a_0()), tc_prod_2(t_a_0(), t_a_0())) ....... R1 [B2:L0, B8:L2] % c_in_3(c_Pair_4(v_z_0(),v_xa_3(v_y_0(),v_z_0(),v_xaa_1(v_xb_0())),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... U21 % ~c_in_3(c_Pair_4(v_xb_0(), x0, t_a_0(), t_a_0()), c_Transitive__Closure_Ortrancl_2(v_r_0(), t_a_0()), tc_prod_2(t_a_0(), t_a_0())) | ~c_in_3(c_Pair_4(x0, v_xa_3(v_y_0(), v_z_0(), v_xaa_1(v_xb_0())), t_a_0(), t_a_0()), c_Transitive__Closure_Ortrancl_2(v_r_0(), t_a_0()), tc_prod_2(t_a_0(), t_a_0())) ....... R2 [R1:L0, U21:L0] % c_in_3(c_Pair_4(v_xb_0(),v_xaa_1(v_xb_0()),t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) ....... U4 % ~c_in_3(c_Pair_4(v_xaa_1(v_xb_0()), v_xa_3(v_y_0(), v_z_0(), v_xaa_1(v_xb_0())), t_a_0(), t_a_0()), c_Transitive__Closure_Ortrancl_2(v_r_0(), t_a_0()), tc_prod_2(t_a_0(), t_a_0())) ....... R3 [R2:L0, U4:L0] % Derivation of the empty clause: % ~c_in_3(c_Pair_4(v_xaa_1(v_xb_0()),v_xa_3(v_y_0(),v_z_0(),v_xaa_1(v_xb_0())),t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) ....... U49 % c_in_3(c_Pair_4(v_xaa_1(v_xb_0()),v_xa_3(v_y_0(),v_z_0(),v_xaa_1(v_xb_0())),t_a_0(),t_a_0()),c_Transitive__Closure_Ortrancl_2(v_r_0(),t_a_0()),tc_prod_2(t_a_0(),t_a_0())) ....... U42 % [] ....... R1 [U49:L0, U42:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 717 % resolvents: 633 factors: 84 % Number of unit clauses generated: 249 % % unit clauses generated to total clauses generated: 34.73 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [1] = 18 [2] = 17 [3] = 13 % Total = 50 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 249 [2] = 391 [3] = 77 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)38 (-)12 % ------------------ % Total: (+)38 (-)12 % Total number of unit clauses retained: 50 % Number of clauses skipped because of their length: 309 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 727 % Number of unification failures: 2207 % Number of unit to unit unification failures: 453 % N literal unification failure due to lookup root_id table: 3920 % N base clause resolution failure due to lookup table: 165 % N UC-BCL resolution dropped due to lookup table: 106 % Max entries in substitution set: 9 % N unit clauses dropped because they exceeded max values: 139 % N unit clauses dropped because too much nesting: 20 % 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: 18 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 366 % Total number of terms of all unit clauses in table: 708 % Max allowed number of states in UCFA: 160000 % 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: 46 % Profile 2: Number of calls to: % ============================== % PTUnify() = 2934 % ConstructUnitClause() = 187 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.18 secs % %------------------------------------------------------------------------------