%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : LCL445-2 : 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 : Sun Nov 28 01:36:58 EST 2010 % Result : Unsatisfiable 0.39s % Output : Refutation 0.39s % 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/SystemOnTPTP3682/LCL/LCL445-2+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 = 9] [nf = 0] [nu = 4] [ut = 6] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 54] [nf = 0] [nu = 17] [ut = 11] % 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_q_0(),c_PropLog_Othms_2(c_insert_3(v_p_0(),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) % B1: c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) % B2: ~c_in_3(v_q_0(),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) % B4: ~c_in_3(x0,c_PropLog_Othms_2(c_insert_3(x1,x2,tc_PropLog_Opl_1(x3)),x3),tc_PropLog_Opl_1(x3)) | c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x1,x0,x3),c_PropLog_Othms_2(x2,x3),tc_PropLog_Opl_1(x3)) % B5: ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x3,x2),c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | ~c_in_3(x0,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | c_in_3(x3,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) % Unit Clauses: % -------------- % U0: < d0 v0 dv0 f4 c6 t10 td4 b nc > c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(v_p_0(),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) % U3: < d0 v13 dv4 f7 c1 t21 td5 b > c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x1,x2),c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,c_PropLog_Opl_Ofalse_0(),x2),x1,x2),x1,x2),x2),c_PropLog_Othms_2(x3,x2),tc_PropLog_Opl_1(x2)) % U5: < d1 v0 dv0 f4 c8 t12 td3 > c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) % U10: < d2 v0 dv0 f5 c10 t15 td4 > ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) % U84: < d3 v0 dv0 f5 c10 t15 td4 > c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U0: % c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(v_p_0(),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U0 % Derivation of unit clause U3: % c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x1,x2),c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,c_PropLog_Opl_Ofalse_0(),x2),x1,x2),x1,x2),x2),c_PropLog_Othms_2(x3,x2),tc_PropLog_Opl_1(x2)) ....... U3 % Derivation of unit clause U5: % c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... B1 % ~c_in_3(x0,c_PropLog_Othms_2(c_insert_3(x1,x2,tc_PropLog_Opl_1(x3)),x3),tc_PropLog_Opl_1(x3)) | c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x1,x0,x3),c_PropLog_Othms_2(x2,x3),tc_PropLog_Opl_1(x3)) ....... B4 % c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(), c_PropLog_Opl_Ofalse_0(), t_a_0()), v_q_0(), t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R1 [B1:L0, B4:L0] % Derivation of unit clause U10: % ~c_in_3(v_q_0(),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... B2 % ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x3,x2),c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | ~c_in_3(x0,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | c_in_3(x3,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) ....... B5 % ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x0, v_q_0(), t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) | ~c_in_3(x0, c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R1 [B2:L0, B5:L2] % c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U5 % ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(), c_PropLog_Opl_Ofalse_0(), t_a_0()), v_q_0(), t_a_0()), v_q_0(), t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R2 [R1:L1, U5:L0] % Derivation of unit clause U84: % ~c_in_3(x0,c_PropLog_Othms_2(c_insert_3(x1,x2,tc_PropLog_Opl_1(x3)),x3),tc_PropLog_Opl_1(x3)) | c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x1,x0,x3),c_PropLog_Othms_2(x2,x3),tc_PropLog_Opl_1(x3)) ....... B4 % ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x3,x2),c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | ~c_in_3(x0,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | c_in_3(x3,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) ....... B5 % ~c_in_3(x0, c_PropLog_Othms_2(c_insert_3(x1, x2, tc_PropLog_Opl_1(x3)), x3), tc_PropLog_Opl_1(x3)) | ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x1, x0, x3), x4, x3), c_PropLog_Othms_2(x2, x3), tc_PropLog_Opl_1(x3)) | c_in_3(x4, c_PropLog_Othms_2(x2, x3), tc_PropLog_Opl_1(x3)) ....... R1 [B4:L1, B5:L1] % c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(v_p_0(),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U0 % ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(), v_q_0(), t_a_0()), x0, t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) | c_in_3(x0, c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R2 [R1:L0, U0:L0] % c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x1,x2),c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,c_PropLog_Opl_Ofalse_0(),x2),x1,x2),x1,x2),x2),c_PropLog_Othms_2(x3,x2),tc_PropLog_Opl_1(x2)) ....... U3 % c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(), c_PropLog_Opl_Ofalse_0(), t_a_0()), v_q_0(), t_a_0()), v_q_0(), t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R3 [R2:L0, U3:L0] % Derivation of the empty clause: % c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U84 % ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U10 % [] ....... R1 [U84:L0, U10:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 512 % resolvents: 507 factors: 5 % Number of unit clauses generated: 195 % % unit clauses generated to total clauses generated: 38.09 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 4 [1] = 2 [2] = 5 [3] = 74 % Total = 85 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 195 [2] = 295 [3] = 22 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] c_in_3 (+)9 (-)76 % ------------------ % Total: (+)9 (-)76 % Total number of unit clauses retained: 85 % Number of clauses skipped because of their length: 121 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 518 % Number of unification failures: 1879 % Number of unit to unit unification failures: 613 % N literal unification failure due to lookup root_id table: 299 % N base clause resolution failure due to lookup table: 3 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 12 % N unit clauses dropped because they exceeded max values: 86 % 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: 63 % Max term depth in a unit clause: 9 % Number of states in UCFA table: 1218 % Total number of terms of all unit clauses in table: 2830 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.43 % Number of symbols (columns) in UCFA: 44 % Profile 2: Number of calls to: % ============================== % PTUnify() = 2397 % ConstructUnitClause() = 167 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.38 secs % %------------------------------------------------------------------------------