%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN100-1.005 : TPTP v5.0.0. Bugfixed v1.2.1. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art02.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 08:32:18 EST 2010 % Result : Unsatisfiable 0.23s % Output : Refutation 0.23s % 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/SystemOnTPTP32403/SYN/SYN100-1.005+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 = 24] [nf = 0] [nu = 0] [ut = 8] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 156] [nf = 0] [nu = 20] [ut = 16] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 420] [nf = 16] [nu = 44] [ut = 16] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 1494] [nf = 40] [nu = 342] [ut = 24] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 4930] [nf = 112] [nu = 1250] [ut = 24] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 18370] [nf = 440] [nu = 4554] [ut = 32] % Looking for a proof at depth = 7 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~p_0_1(x0) | ~q_0_1(x0) % B1: p_8_1(a_0()) % B18: ~p_1_1(x0) | ~p_2_1(x0) | p_0_1(x0) % B35: ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) % B38: ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0) % B40: ~p_8_1(x0) | ~q_9_1(x0) | q_7_1(x0) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c1 t1 td1 b > p_9_1(a_0()) % U3: < d0 v0 dv0 f0 c1 t1 td1 b > q_9_1(a_0()) % U8: < d2 v0 dv0 f0 c1 t1 td1 > p_7_1(a_0()) % U9: < d2 v0 dv0 f0 c1 t1 td1 > q_7_1(a_0()) % U16: < d4 v0 dv0 f0 c1 t1 td1 > p_5_1(a_0()) % U17: < d4 v0 dv0 f0 c1 t1 td1 > q_5_1(a_0()) % U24: < d6 v0 dv0 f0 c1 t1 td1 > p_3_1(a_0()) % U25: < d6 v0 dv0 f0 c1 t1 td1 > q_3_1(a_0()) % U26: < d6 v0 dv0 f0 c1 t1 td1 > p_2_1(a_0()) % U27: < d6 v0 dv0 f0 c1 t1 td1 > q_2_1(a_0()) % U32: < d7 v0 dv0 f0 c1 t1 td1 > ~p_3_1(a_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % p_9_1(a_0()) ....... U1 % Derivation of unit clause U3: % q_9_1(a_0()) ....... U3 % Derivation of unit clause U8: % p_8_1(a_0()) ....... B1 % ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0) ....... B38 % ~p_9_1(a_0()) | p_7_1(a_0()) ....... R1 [B1:L0, B38:L0] % p_9_1(a_0()) ....... U1 % p_7_1(a_0()) ....... R2 [R1:L0, U1:L0] % Derivation of unit clause U9: % p_8_1(a_0()) ....... B1 % ~p_8_1(x0) | ~q_9_1(x0) | q_7_1(x0) ....... B40 % ~q_9_1(a_0()) | q_7_1(a_0()) ....... R1 [B1:L0, B40:L0] % q_9_1(a_0()) ....... U3 % q_7_1(a_0()) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U16: % p_8_1(a_0()) ....... B1 % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1] % ~p_6_1(x0) | ~p_7_1(x0) | p_5_1(x0) ....... B32 % ~p_7_1(a_0()) | ~p_7_1(a_0()) | p_5_1(a_0()) ....... R2 [R1:L1, B32:L0] % ~p_7_1(a_0()) | p_5_1(a_0()) ....... R3 [R2:L0, R2:L1] % p_7_1(a_0()) ....... U8 % p_5_1(a_0()) ....... R4 [R3:L0, U8:L0] % Derivation of unit clause U17: % p_8_1(a_0()) ....... B1 % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1] % ~p_6_1(x0) | ~q_7_1(x0) | q_5_1(x0) ....... B34 % ~p_7_1(a_0()) | ~q_7_1(a_0()) | q_5_1(a_0()) ....... R2 [R1:L1, B34:L0] % p_7_1(a_0()) ....... U8 % ~q_7_1(a_0()) | q_5_1(a_0()) ....... R3 [R2:L0, U8:L0] % q_7_1(a_0()) ....... U9 % q_5_1(a_0()) ....... R4 [R3:L0, U9:L0] % Derivation of unit clause U24: % p_8_1(a_0()) ....... B1 % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1] % ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B29 % ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R2 [R1:L1, B29:L1] % p_7_1(a_0()) ....... U8 % ~p_5_1(a_0()) | p_4_1(a_0()) ....... R3 [R2:L0, U8:L0] % ~p_4_1(x0) | ~p_5_1(x0) | p_3_1(x0) ....... B26 % ~p_5_1(a_0()) | ~p_5_1(a_0()) | p_3_1(a_0()) ....... R4 [R3:L1, B26:L0] % ~p_5_1(a_0()) | p_3_1(a_0()) ....... R5 [R4:L0, R4:L1] % p_5_1(a_0()) ....... U16 % p_3_1(a_0()) ....... R6 [R5:L0, U16:L0] % Derivation of unit clause U25: % p_8_1(a_0()) ....... B1 % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1] % ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B29 % ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R2 [R1:L1, B29:L1] % p_7_1(a_0()) ....... U8 % ~p_5_1(a_0()) | p_4_1(a_0()) ....... R3 [R2:L0, U8:L0] % ~p_4_1(x0) | ~q_5_1(x0) | q_3_1(x0) ....... B28 % ~p_5_1(a_0()) | ~q_5_1(a_0()) | q_3_1(a_0()) ....... R4 [R3:L1, B28:L0] % p_5_1(a_0()) ....... U16 % ~q_5_1(a_0()) | q_3_1(a_0()) ....... R5 [R4:L0, U16:L0] % q_5_1(a_0()) ....... U17 % q_3_1(a_0()) ....... R6 [R5:L0, U17:L0] % Derivation of unit clause U26: % p_8_1(a_0()) ....... B1 % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1] % ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B29 % ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R2 [R1:L1, B29:L1] % p_5_1(a_0()) ....... U16 % ~p_7_1(a_0()) | p_4_1(a_0()) ....... R3 [R2:L1, U16:L0] % ~p_3_1(x0) | ~p_4_1(x0) | p_2_1(x0) ....... B23 % ~p_7_1(a_0()) | ~p_3_1(a_0()) | p_2_1(a_0()) ....... R4 [R3:L1, B23:L1] % p_7_1(a_0()) ....... U8 % ~p_3_1(a_0()) | p_2_1(a_0()) ....... R5 [R4:L0, U8:L0] % p_3_1(a_0()) ....... U24 % p_2_1(a_0()) ....... R6 [R5:L0, U24:L0] % Derivation of unit clause U27: % p_8_1(a_0()) ....... B1 % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1] % ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B29 % ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R2 [R1:L1, B29:L1] % p_5_1(a_0()) ....... U16 % ~p_7_1(a_0()) | p_4_1(a_0()) ....... R3 [R2:L1, U16:L0] % ~p_4_1(x0) | ~q_3_1(x0) | q_2_1(x0) ....... B27 % ~p_7_1(a_0()) | ~q_3_1(a_0()) | q_2_1(a_0()) ....... R4 [R3:L1, B27:L0] % p_7_1(a_0()) ....... U8 % ~q_3_1(a_0()) | q_2_1(a_0()) ....... R5 [R4:L0, U8:L0] % q_3_1(a_0()) ....... U25 % q_2_1(a_0()) ....... R6 [R5:L0, U25:L0] % Derivation of unit clause U32: % ~p_0_1(x0) | ~q_0_1(x0) ....... B0 % ~p_1_1(x0) | ~p_2_1(x0) | p_0_1(x0) ....... B18 % ~q_0_1(x0) | ~p_1_1(x0) | ~p_2_1(x0) ....... R1 [B0:L0, B18:L2] % p_2_1(a_0()) ....... U26 % ~q_0_1(a_0()) | ~p_1_1(a_0()) ....... R2 [R1:L2, U26:L0] % ~p_1_1(x0) | ~q_2_1(x0) | q_0_1(x0) ....... B19 % ~p_1_1(a_0()) | ~p_1_1(a_0()) | ~q_2_1(a_0()) ....... R3 [R2:L0, B19:L2] % ~p_1_1(a_0()) | ~q_2_1(a_0()) ....... R4 [R3:L0, R3:L1] % ~p_2_1(x0) | ~p_3_1(x0) | p_1_1(x0) ....... B20 % ~q_2_1(a_0()) | ~p_2_1(a_0()) | ~p_3_1(a_0()) ....... R5 [R4:L0, B20:L2] % q_2_1(a_0()) ....... U27 % ~p_2_1(a_0()) | ~p_3_1(a_0()) ....... R6 [R5:L0, U27:L0] % p_2_1(a_0()) ....... U26 % ~p_3_1(a_0()) ....... R7 [R6:L0, U26:L0] % Derivation of the empty clause: % ~p_3_1(a_0()) ....... U32 % p_3_1(a_0()) ....... U24 % [] ....... R1 [U32:L0, U24:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 18818 % resolvents: 18377 factors: 441 % Number of unit clauses generated: 4556 % % unit clauses generated to total clauses generated: 24.21 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 8 [2] = 8 [4] = 8 [6] = 8 [7] = 1 % Total = 33 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 4556 [2] = 6731 [3] = 7531 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] p_0_1 (+)0 (-)0 % [1] p_10_1 (+)0 (-)0 % [2] p_1_1 (+)0 (-)0 % [3] p_2_1 (+)1 (-)0 % [4] p_3_1 (+)1 (-)1 % [5] p_4_1 (+)1 (-)0 % [6] p_5_1 (+)1 (-)0 % [7] p_6_1 (+)1 (-)0 % [8] p_7_1 (+)1 (-)0 % [9] p_8_1 (+)1 (-)0 % [10] p_9_1 (+)1 (-)0 % [11] q_0_1 (+)0 (-)0 % [12] q_10_1 (+)0 (-)0 % [13] q_1_1 (+)0 (-)0 % [14] q_2_1 (+)1 (-)0 % [15] q_3_1 (+)1 (-)0 % [16] q_4_1 (+)1 (-)0 % [17] q_5_1 (+)1 (-)0 % [18] q_6_1 (+)1 (-)0 % [19] q_7_1 (+)1 (-)0 % [20] q_8_1 (+)1 (-)0 % [21] q_9_1 (+)1 (-)0 % [22] sym_p_0_1 (+)0 (-)0 % [23] sym_p_10_1 (+)0 (-)0 % [24] sym_p_1_1 (+)0 (-)0 % [25] sym_p_2_1 (+)0 (-)1 % [26] sym_p_3_1 (+)0 (-)1 % [27] sym_p_4_1 (+)0 (-)1 % [28] sym_p_5_1 (+)0 (-)1 % [29] sym_p_6_1 (+)0 (-)1 % [30] sym_p_7_1 (+)0 (-)1 % [31] sym_p_8_1 (+)0 (-)1 % [32] sym_p_9_1 (+)0 (-)1 % [33] sym_q_0_1 (+)0 (-)0 % [34] sym_q_10_1 (+)0 (-)0 % [35] sym_q_1_1 (+)0 (-)0 % [36] sym_q_2_1 (+)0 (-)1 % [37] sym_q_3_1 (+)0 (-)1 % [38] sym_q_4_1 (+)0 (-)1 % [39] sym_q_5_1 (+)0 (-)1 % [40] sym_q_6_1 (+)0 (-)1 % [41] sym_q_7_1 (+)0 (-)1 % [42] sym_q_8_1 (+)0 (-)1 % [43] sym_q_9_1 (+)0 (-)1 % ------------------ % Total: (+)16 (-)17 % Total number of unit clauses retained: 33 % Number of clauses skipped because of their length: 214680 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 3664 % Number of successful unifications: 18861 % Number of unification failures: 0 % Number of unit to unit unification failures: 0 % N literal unification failure due to lookup root_id table: 50527 % N base clause resolution failure due to lookup table: 187919 % 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: 3204 % 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: 1 % Max term depth in a unit clause: 1 % Number of states in UCFA table: 36 % Total number of terms of all unit clauses in table: 33 % 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: 1.09 % Number of symbols (columns) in UCFA: 79 % Profile 2: Number of calls to: % ============================== % PTUnify() = 18861 % ConstructUnitClause() = 3229 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.01 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.23 secs % %------------------------------------------------------------------------------