%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD031-5 : TPTP v5.0.0. Bugfixed v2.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art07.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 18:31:05 EST 2010 % Result : Unsatisfiable 0.27s % Output : Refutation 0.27s % 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/SystemOnTPTP20837/FLD/FLD031-5+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 = 120] [nf = 0] [nu = 74] [ut = 46] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 57848] [nf = 76] [nu = 43189] [ut = 1624] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: product_3(multiplicative_identity_0(),a_0(),multiplicative_identity_0()) % B1: ~sum_3(additive_identity_0(),a_0(),additive_identity_0()) % B2: ~product_3(multiplicative_identity_0(),multiplicative_identity_0(),multiplicative_inverse_1(a_0())) % B7: ~product_3(x1,x0,x2) | product_3(x0,x1,x2) % B9: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) % B19: ~defined_1(x0) | defined_1(multiplicative_inverse_1(x0)) | sum_3(additive_identity_0(),x0,additive_identity_0()) % B20: ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0()) % B21: ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) % Unit Clauses: % -------------- % U5: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(a_0()) % U7: < d1 v0 dv0 f0 c3 t3 td1 > product_3(a_0(),multiplicative_identity_0(),multiplicative_identity_0()) % U46: < d2 v0 dv0 f1 c1 t2 td2 > defined_1(multiplicative_inverse_1(a_0())) % U47: < d2 v0 dv0 f1 c3 t4 td2 > product_3(multiplicative_inverse_1(a_0()),a_0(),multiplicative_identity_0()) % U1477: < d2 v0 dv0 f2 c3 t5 td2 > product_3(multiplicative_inverse_1(a_0()),multiplicative_identity_0(),multiplicative_inverse_1(a_0())) % U1844: < d3 v0 dv0 f1 c3 t4 td2 > ~product_3(multiplicative_inverse_1(a_0()),a_0(),multiplicative_identity_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U5: % defined_1(a_0()) ....... U5 % Derivation of unit clause U7: % product_3(multiplicative_identity_0(),a_0(),multiplicative_identity_0()) ....... B0 % ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B7 % product_3(a_0(), multiplicative_identity_0(), multiplicative_identity_0()) ....... R1 [B0:L0, B7:L0] % Derivation of unit clause U46: % ~sum_3(additive_identity_0(),a_0(),additive_identity_0()) ....... B1 % ~defined_1(x0) | defined_1(multiplicative_inverse_1(x0)) | sum_3(additive_identity_0(),x0,additive_identity_0()) ....... B19 % ~defined_1(a_0()) | defined_1(multiplicative_inverse_1(a_0())) ....... R1 [B1:L0, B19:L2] % defined_1(a_0()) ....... U5 % defined_1(multiplicative_inverse_1(a_0())) ....... R2 [R1:L0, U5:L0] % Derivation of unit clause U47: % ~sum_3(additive_identity_0(),a_0(),additive_identity_0()) ....... B1 % ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0()) ....... B20 % ~defined_1(a_0()) | product_3(multiplicative_inverse_1(a_0()), a_0(), multiplicative_identity_0()) ....... R1 [B1:L0, B20:L2] % defined_1(a_0()) ....... U5 % product_3(multiplicative_inverse_1(a_0()), a_0(), multiplicative_identity_0()) ....... R2 [R1:L0, U5:L0] % Derivation of unit clause U1477: % ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B7 % ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B9 % product_3(x0, multiplicative_identity_0(), x0) | ~defined_1(x0) ....... R1 [B7:L0, B9:L1] % defined_1(multiplicative_inverse_1(a_0())) ....... U46 % product_3(multiplicative_inverse_1(a_0()), multiplicative_identity_0(), multiplicative_inverse_1(a_0())) ....... R2 [R1:L1, U46:L0] % Derivation of unit clause U1844: % ~product_3(multiplicative_identity_0(),multiplicative_identity_0(),multiplicative_inverse_1(a_0())) ....... B2 % ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B21 % ~product_3(x0, x1, multiplicative_inverse_1(a_0())) | ~product_3(x2, multiplicative_identity_0(), x1) | ~product_3(x0, x2, multiplicative_identity_0()) ....... R1 [B2:L0, B21:L3] % product_3(multiplicative_inverse_1(a_0()),multiplicative_identity_0(),multiplicative_inverse_1(a_0())) ....... U1477 % ~product_3(x0, multiplicative_identity_0(), multiplicative_identity_0()) | ~product_3(multiplicative_inverse_1(a_0()), x0, multiplicative_identity_0()) ....... R2 [R1:L0, U1477:L0] % product_3(a_0(),multiplicative_identity_0(),multiplicative_identity_0()) ....... U7 % ~product_3(multiplicative_inverse_1(a_0()), a_0(), multiplicative_identity_0()) ....... R3 [R2:L0, U7:L0] % Derivation of the empty clause: % ~product_3(multiplicative_inverse_1(a_0()),a_0(),multiplicative_identity_0()) ....... U1844 % product_3(multiplicative_inverse_1(a_0()),a_0(),multiplicative_identity_0()) ....... U47 % [] ....... R1 [U1844:L0, U47:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 61314 % resolvents: 61194 factors: 120 % Number of unit clauses generated: 44447 % % unit clauses generated to total clauses generated: 72.49 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 7 [1] = 39 [2] = 1578 [3] = 221 % Total = 1845 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 44447 [2] = 16754 [3] = 113 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] defined_1 (+)1440 (-)0 % [1] less_or_equal_2 (+)0 (-)0 % [2] product_3 (+)205 (-)23 % [3] sum_3 (+)110 (-)67 % ------------------ % Total: (+)1755 (-)90 % Total number of unit clauses retained: 1845 % Number of clauses skipped because of their length: 5528 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 61324 % Number of unification failures: 120510 % Number of unit to unit unification failures: 11890 % N literal unification failure due to lookup root_id table: 4195 % N base clause resolution failure due to lookup table: 2809 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 9 % N unit clauses dropped because they exceeded max values: 36988 % N unit clauses dropped because too much nesting: 15922 % 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: 2247 % Total number of terms of all unit clauses in table: 11544 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.03 % Ratio n states used/total unit clauses terms: 0.19 % Number of symbols (columns) in UCFA: 45 % Profile 2: Number of calls to: % ============================== % PTUnify() = 181834 % ConstructUnitClause() = 38826 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.04 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.27 secs % %------------------------------------------------------------------------------