%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : LAT270-2 : 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 23:11:12 EST 2010 % Result : Unsatisfiable 0.14s % Output : Refutation 0.14s % 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/SystemOnTPTP24355/LAT/LAT270-2+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 = 0] [nf = 0] [nu = 0] [ut = 4] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 6] [nf = 2] [nu = 0] [ut = 4] % 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(v_a_0(),v_A_0(),t_a_0()) % B4: ~c_in_3(x1,v_A_0(),t_a_0()) | ~c_in_3(x0,v_A_0(),t_a_0()) | ~c_lessequals_3(x2,c_Tarski_Ointerval_4(v_r_0(),x1,x0,t_a_0()),tc_set_1(t_a_0())) | c_lessequals_3(x2,v_A_0(),tc_set_1(t_a_0())) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c3 t3 td1 b nc > c_in_3(v_b_0(),v_A_0(),t_a_0()) % U2: < d0 v0 dv0 f2 c6 t8 td2 b nc > c_lessequals_3(v_S_0(),c_Tarski_Ointerval_4(v_r_0(),v_a_0(),v_b_0(),t_a_0()),tc_set_1(t_a_0())) % U3: < d0 v0 dv0 f1 c3 t4 td2 b nc > ~c_lessequals_3(v_S_0(),v_A_0(),tc_set_1(t_a_0())) % U5: < d3 v0 dv0 f1 c3 t4 td2 > c_lessequals_3(v_S_0(),v_A_0(),tc_set_1(t_a_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % c_in_3(v_b_0(),v_A_0(),t_a_0()) ....... U1 % Derivation of unit clause U2: % c_lessequals_3(v_S_0(),c_Tarski_Ointerval_4(v_r_0(),v_a_0(),v_b_0(),t_a_0()),tc_set_1(t_a_0())) ....... U2 % Derivation of unit clause U3: % ~c_lessequals_3(v_S_0(),v_A_0(),tc_set_1(t_a_0())) ....... U3 % Derivation of unit clause U5: % c_in_3(v_a_0(),v_A_0(),t_a_0()) ....... B0 % ~c_in_3(x1,v_A_0(),t_a_0()) | ~c_in_3(x0,v_A_0(),t_a_0()) | ~c_lessequals_3(x2,c_Tarski_Ointerval_4(v_r_0(),x1,x0,t_a_0()),tc_set_1(t_a_0())) | c_lessequals_3(x2,v_A_0(),tc_set_1(t_a_0())) ....... B4 % ~c_in_3(x0, v_A_0(), t_a_0()) | ~c_lessequals_3(x1, c_Tarski_Ointerval_4(v_r_0(), v_a_0(), x0, t_a_0()), tc_set_1(t_a_0())) | c_lessequals_3(x1, v_A_0(), tc_set_1(t_a_0())) ....... R1 [B0:L0, B4:L0] % c_in_3(v_b_0(),v_A_0(),t_a_0()) ....... U1 % ~c_lessequals_3(x0, c_Tarski_Ointerval_4(v_r_0(), v_a_0(), v_b_0(), t_a_0()), tc_set_1(t_a_0())) | c_lessequals_3(x0, v_A_0(), tc_set_1(t_a_0())) ....... R2 [R1:L0, U1:L0] % c_lessequals_3(v_S_0(),c_Tarski_Ointerval_4(v_r_0(),v_a_0(),v_b_0(),t_a_0()),tc_set_1(t_a_0())) ....... U2 % c_lessequals_3(v_S_0(), v_A_0(), tc_set_1(t_a_0())) ....... R3 [R2:L0, U2:L0] % Derivation of the empty clause: % c_lessequals_3(v_S_0(),v_A_0(),tc_set_1(t_a_0())) ....... U5 % ~c_lessequals_3(v_S_0(),v_A_0(),tc_set_1(t_a_0())) ....... U3 % [] ....... R1 [U5:L0, U3:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 13 % resolvents: 11 factors: 2 % Number of unit clauses generated: 2 % % unit clauses generated to total clauses generated: 15.38 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 4 [3] = 2 % Total = 6 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 2 [2] = 4 [3] = 7 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)2 (-)0 % [1] c_lessequals_3 (+)2 (-)2 % ------------------ % Total: (+)4 (-)2 % Total number of unit clauses retained: 6 % Number of clauses skipped because of their length: 10 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 16 % Number of unification failures: 3 % Number of unit to unit unification failures: 2 % N literal unification failure due to lookup root_id table: 11 % N base clause resolution failure due to lookup table: 0 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 3 % N unit clauses dropped because they exceeded max values: 0 % 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: 8 % Max term depth in a unit clause: 2 % Number of states in UCFA table: 28 % Total number of terms of all unit clauses in table: 30 % 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: 0.93 % Number of symbols (columns) in UCFA: 44 % Profile 2: Number of calls to: % ============================== % PTUnify() = 19 % ConstructUnitClause() = 2 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.15 secs % %------------------------------------------------------------------------------