%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : LAT272-2 : 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 23:11:50 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/SystemOnTPTP24611/LAT/LAT272-2+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 = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 4 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 5 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 6 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 7 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 8 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 9 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 10 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 11 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 12 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 13 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 14 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 15 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 16 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 17 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 18 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 19 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 20 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 21 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 22 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 23 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 24 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 25 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 26 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 27 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 28 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 29 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 30 ... % t = 1 secs [nr = 0] [nf = 0] [nu = 0] [ut = 2] % Restarting search with different parameters. % Looking for a proof at depth = 1 ... % t = 1 secs [nr = 3] [nf = 0] [nu = 0] [ut = 2] % 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(v_x_0(),v_S_0(),t_a_0()) % B2: ~c_in_3(c_Pair_4(v_x_0(),v_L_0(),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % B3: ~c_in_3(x2,x0,t_a_0()) | ~c_Tarski_OisLub_4(x0,v_cl_0(),x1,t_a_0()) | c_in_3(c_Pair_4(x2,x1,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) % Unit Clauses: % -------------- % U0: < d0 v0 dv0 f0 c3 t3 td1 b nc > c_in_3(v_x_0(),v_S_0(),t_a_0()) % U1: < d0 v0 dv0 f0 c4 t4 td1 b nc > c_Tarski_OisLub_4(v_S_0(),v_cl_0(),v_L_0(),t_a_0()) % U3: < d2 v0 dv0 f0 c4 t4 td1 > ~c_Tarski_OisLub_4(v_S_0(),v_cl_0(),v_L_0(),t_a_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U0: % c_in_3(v_x_0(),v_S_0(),t_a_0()) ....... U0 % Derivation of unit clause U1: % c_Tarski_OisLub_4(v_S_0(),v_cl_0(),v_L_0(),t_a_0()) ....... U1 % Derivation of unit clause U3: % ~c_in_3(c_Pair_4(v_x_0(),v_L_0(),t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B2 % ~c_in_3(x2,x0,t_a_0()) | ~c_Tarski_OisLub_4(x0,v_cl_0(),x1,t_a_0()) | c_in_3(c_Pair_4(x2,x1,t_a_0(),t_a_0()),v_r_0(),tc_prod_2(t_a_0(),t_a_0())) ....... B3 % ~c_in_3(v_x_0(), x0, t_a_0()) | ~c_Tarski_OisLub_4(x0, v_cl_0(), v_L_0(), t_a_0()) ....... R1 [B2:L0, B3:L2] % c_in_3(v_x_0(),v_S_0(),t_a_0()) ....... U0 % ~c_Tarski_OisLub_4(v_S_0(), v_cl_0(), v_L_0(), t_a_0()) ....... R2 [R1:L0, U0:L0] % Derivation of the empty clause: % ~c_Tarski_OisLub_4(v_S_0(),v_cl_0(),v_L_0(),t_a_0()) ....... U3 % c_Tarski_OisLub_4(v_S_0(),v_cl_0(),v_L_0(),t_a_0()) ....... U1 % [] ....... R1 [U3:L0, U1:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 9 % resolvents: 9 factors: 0 % Number of unit clauses generated: 3 % % unit clauses generated to total clauses generated: 33.33 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [2] = 2 % Total = 4 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 3 [2] = 6 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)2 (-)0 % [1] c_Tarski_OisLub_4 (+)1 (-)1 % ------------------ % Total: (+)3 (-)1 % Total number of unit clauses retained: 4 % 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: 11 % Number of unification failures: 0 % Number of unit to unit unification failures: 0 % N literal unification failure due to lookup root_id table: 13 % 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: 1 % 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: 9 % Max term depth in a unit clause: 2 % Number of states in UCFA table: 22 % Total number of terms of all unit clauses in table: 20 % 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: 1.10 % Number of symbols (columns) in UCFA: 44 % Profile 2: Number of calls to: % ============================== % PTUnify() = 11 % ConstructUnitClause() = 3 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.14 secs % %------------------------------------------------------------------------------