%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD010-3 : TPTP v5.0.0. Bugfixed v2.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art05.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 18:13:38 EST 2010 % Result : Unsatisfiable 0.15s % Output : Refutation 0.15s % 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/SystemOnTPTP22446/FLD/FLD010-3+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 = 86] [nf = 0] [nu = 50] [ut = 31] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~sum_3(additive_identity_0(),multiplicative_identity_0(),additive_identity_0()) % B1: ~product_3(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0()),multiplicative_identity_0()) % B5: ~product_3(x1,x0,x2) | product_3(x0,x1,x2) % B18: ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0()) % Unit Clauses: % -------------- % U3: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(multiplicative_identity_0()) % U6: < d1 v0 dv0 f1 c3 t4 td2 > ~product_3(multiplicative_inverse_1(multiplicative_identity_0()),multiplicative_identity_0(),multiplicative_identity_0()) % U32: < d2 v0 dv0 f1 c3 t4 td2 > product_3(multiplicative_inverse_1(multiplicative_identity_0()),multiplicative_identity_0(),multiplicative_identity_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U3: % defined_1(multiplicative_identity_0()) ....... U3 % Derivation of unit clause U6: % ~product_3(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0()),multiplicative_identity_0()) ....... B1 % ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B5 % ~product_3(multiplicative_inverse_1(multiplicative_identity_0()), multiplicative_identity_0(), multiplicative_identity_0()) ....... R1 [B1:L0, B5:L1] % Derivation of unit clause U32: % ~sum_3(additive_identity_0(),multiplicative_identity_0(),additive_identity_0()) ....... B0 % ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0()) ....... B18 % ~defined_1(multiplicative_identity_0()) | product_3(multiplicative_inverse_1(multiplicative_identity_0()), multiplicative_identity_0(), multiplicative_identity_0()) ....... R1 [B0:L0, B18:L2] % defined_1(multiplicative_identity_0()) ....... U3 % product_3(multiplicative_inverse_1(multiplicative_identity_0()), multiplicative_identity_0(), multiplicative_identity_0()) ....... R2 [R1:L0, U3:L0] % Derivation of the empty clause: % product_3(multiplicative_inverse_1(multiplicative_identity_0()),multiplicative_identity_0(),multiplicative_identity_0()) ....... U32 % ~product_3(multiplicative_inverse_1(multiplicative_identity_0()),multiplicative_identity_0(),multiplicative_identity_0()) ....... U6 % [] ....... R1 [U32:L0, U6:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 96 % resolvents: 96 factors: 0 % Number of unit clauses generated: 53 % % unit clauses generated to total clauses generated: 55.21 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 5 [1] = 26 [2] = 2 % Total = 33 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 53 [2] = 43 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] defined_1 (+)9 (-)0 % [1] less_or_equal_2 (+)0 (-)0 % [2] product_3 (+)6 (-)2 % [3] sum_3 (+)13 (-)3 % ------------------ % Total: (+)28 (-)5 % Total number of unit clauses retained: 33 % Number of clauses skipped because of their length: 99 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 99 % Number of unification failures: 15 % Number of unit to unit unification failures: 50 % N literal unification failure due to lookup root_id table: 90 % N base clause resolution failure due to lookup table: 71 % 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: 24 % N unit clauses dropped because too much nesting: 4 % 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: 4 % Number of states in UCFA table: 69 % Total number of terms of all unit clauses in table: 125 % 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: 0.55 % Number of symbols (columns) in UCFA: 44 % Profile 2: Number of calls to: % ============================== % PTUnify() = 114 % ConstructUnitClause() = 52 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.14 secs % %------------------------------------------------------------------------------