%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN088-1.010 : TPTP v5.0.0. Released v1.0.0. % 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 : Sun Nov 28 08:30:48 EST 2010 % Result : Unsatisfiable 0.16s % Output : Refutation 0.16s % 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/SystemOnTPTP1641/SYN/SYN088-1.010+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 = 21] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21] % Looking for a proof at depth = 7 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21] % Looking for a proof at depth = 8 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21] % Looking for a proof at depth = 9 ... % t = 0 secs [nr = 21] [nf = 0] [nu = 0] [ut = 21] % Looking for a proof at depth = 10 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~p_10(a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0()) % B21: ~q_10_1(x9) | ~q_1_1(x0) | ~q_2_1(x1) | ~q_3_1(x2) | ~q_4_1(x3) | ~q_5_1(x4) | ~q_6_1(x5) | ~q_7_1(x6) | ~q_8_1(x7) | ~q_9_1(x8) | p_10(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c1 t1 td1 b > q_10_1(a_0()) % U3: < d0 v0 dv0 f0 c1 t1 td1 b > q_1_1(a_0()) % U5: < d0 v0 dv0 f0 c1 t1 td1 b > q_2_1(a_0()) % U7: < d0 v0 dv0 f0 c1 t1 td1 b > q_3_1(a_0()) % U9: < d0 v0 dv0 f0 c1 t1 td1 b > q_4_1(a_0()) % U11: < d0 v0 dv0 f0 c1 t1 td1 b > q_5_1(a_0()) % U13: < d0 v0 dv0 f0 c1 t1 td1 b > q_6_1(a_0()) % U15: < d0 v0 dv0 f0 c1 t1 td1 b > q_7_1(a_0()) % U17: < d0 v0 dv0 f0 c1 t1 td1 b > q_8_1(a_0()) % U19: < d0 v0 dv0 f0 c1 t1 td1 b > q_9_1(a_0()) % U21: < d10 v0 dv0 f0 c1 t1 td1 > ~q_9_1(a_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % q_10_1(a_0()) ....... U1 % Derivation of unit clause U3: % q_1_1(a_0()) ....... U3 % Derivation of unit clause U5: % q_2_1(a_0()) ....... U5 % Derivation of unit clause U7: % q_3_1(a_0()) ....... U7 % Derivation of unit clause U9: % q_4_1(a_0()) ....... U9 % Derivation of unit clause U11: % q_5_1(a_0()) ....... U11 % Derivation of unit clause U13: % q_6_1(a_0()) ....... U13 % Derivation of unit clause U15: % q_7_1(a_0()) ....... U15 % Derivation of unit clause U17: % q_8_1(a_0()) ....... U17 % Derivation of unit clause U19: % q_9_1(a_0()) ....... U19 % Derivation of unit clause U21: % ~p_10(a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0()) ....... B0 % ~q_10_1(x9) | ~q_1_1(x0) | ~q_2_1(x1) | ~q_3_1(x2) | ~q_4_1(x3) | ~q_5_1(x4) | ~q_6_1(x5) | ~q_7_1(x6) | ~q_8_1(x7) | ~q_9_1(x8) | p_10(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9) ....... B21 % ~q_10_1(a_0()) | ~q_1_1(a_0()) | ~q_2_1(a_0()) | ~q_3_1(a_0()) | ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R1 [B0:L0, B21:L10] % q_10_1(a_0()) ....... U1 % ~q_1_1(a_0()) | ~q_2_1(a_0()) | ~q_3_1(a_0()) | ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R2 [R1:L0, U1:L0] % q_1_1(a_0()) ....... U3 % ~q_2_1(a_0()) | ~q_3_1(a_0()) | ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R3 [R2:L0, U3:L0] % q_2_1(a_0()) ....... U5 % ~q_3_1(a_0()) | ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R4 [R3:L0, U5:L0] % q_3_1(a_0()) ....... U7 % ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R5 [R4:L0, U7:L0] % q_4_1(a_0()) ....... U9 % ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R6 [R5:L0, U9:L0] % q_5_1(a_0()) ....... U11 % ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R7 [R6:L0, U11:L0] % q_6_1(a_0()) ....... U13 % ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R8 [R7:L0, U13:L0] % q_7_1(a_0()) ....... U15 % ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R9 [R8:L0, U15:L0] % q_8_1(a_0()) ....... U17 % ~q_9_1(a_0()) ....... R10 [R9:L0, U17:L0] % Derivation of the empty clause: % ~q_9_1(a_0()) ....... U21 % q_9_1(a_0()) ....... U19 % [] ....... R1 [U21:L0, U19:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 31 % resolvents: 31 factors: 0 % Number of unit clauses generated: 1 % % unit clauses generated to total clauses generated: 3.23 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 21 [10] = 1 % Total = 22 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 1 [2] = 1 [3] = 1 [4] = 1 [5] = 1 [6] = 1 % [7] = 1 [8] = 1 [9] = 1 [10] = 22 % Average size of a generated clause: 9.0 % Number of unit clauses per predicate list: % ========================================== % [0] q_10_1 (+)2 (-)0 % [1] q_1_1 (+)2 (-)0 % [2] q_2_1 (+)2 (-)0 % [3] q_3_1 (+)2 (-)0 % [4] q_4_1 (+)2 (-)0 % [5] q_5_1 (+)2 (-)0 % [6] q_6_1 (+)2 (-)0 % [7] q_7_1 (+)2 (-)0 % [8] q_8_1 (+)2 (-)0 % [9] q_9_1 (+)2 (-)1 % [10] p_10 (+)0 (-)1 % ------------------ % Total: (+)20 (-)2 % Total number of unit clauses retained: 22 % Number of clauses skipped because of their length: 189 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 41 % Number of unification failures: 0 % Number of unit to unit unification failures: 0 % N literal unification failure due to lookup root_id table: 220 % 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: 10 % 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: 10 % Max term depth in a unit clause: 1 % Number of states in UCFA table: 24 % Total number of terms of all unit clauses in table: 31 % Max allowed number of states in UCFA: 112000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.77 % Number of symbols (columns) in UCFA: 47 % Profile 2: Number of calls to: % ============================== % PTUnify() = 41 % ConstructUnitClause() = 1 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.16 secs % %------------------------------------------------------------------------------