%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD030-3 : 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 18:30:38 EST 2010 % Result : Unsatisfiable 0.79s % Output : Refutation 0.79s % 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/SystemOnTPTP20453/FLD/FLD030-3+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 = 179] [nf = 0] [nu = 116] [ut = 73] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 349408] [nf = 74] [nu = 270661] [ut = 8238] % 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(),d_0()) % B1: ~product_3(d_0(),b_0(),multiply_2(a_0(),b_0())) % B4: defined_1(a_0()) % B5: defined_1(b_0()) % B8: ~product_3(x1,x0,x2) | product_3(x0,x1,x2) % B10: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) % B18: ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) % B22: ~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(b_0()) % U8: < d1 v0 dv0 f0 c3 t3 td1 > product_3(a_0(),multiplicative_identity_0(),d_0()) % U22: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),b_0(),b_0()) % U2532: < d2 v0 dv0 f1 c4 t5 td2 > product_3(a_0(),b_0(),multiply_2(a_0(),b_0())) % U8313: < d3 v0 dv0 f0 c3 t3 td1 > ~product_3(a_0(),multiplicative_identity_0(),d_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U5: % defined_1(b_0()) ....... U5 % Derivation of unit clause U8: % product_3(multiplicative_identity_0(),a_0(),d_0()) ....... B0 % ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B8 % product_3(a_0(), multiplicative_identity_0(), d_0()) ....... R1 [B0:L0, B8:L0] % Derivation of unit clause U22: % defined_1(b_0()) ....... B5 % ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B10 % product_3(multiplicative_identity_0(), b_0(), b_0()) ....... R1 [B5:L0, B10:L0] % Derivation of unit clause U2532: % defined_1(a_0()) ....... B4 % ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) ....... B18 % ~defined_1(x0) | product_3(a_0(), x0, multiply_2(a_0(), x0)) ....... R1 [B4:L0, B18:L1] % defined_1(b_0()) ....... U5 % product_3(a_0(), b_0(), multiply_2(a_0(), b_0())) ....... R2 [R1:L0, U5:L0] % Derivation of unit clause U8313: % ~product_3(d_0(),b_0(),multiply_2(a_0(),b_0())) ....... B1 % ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B22 % ~product_3(x0, x1, multiply_2(a_0(), b_0())) | ~product_3(x2, b_0(), x1) | ~product_3(x0, x2, d_0()) ....... R1 [B1:L0, B22:L3] % product_3(a_0(),b_0(),multiply_2(a_0(),b_0())) ....... U2532 % ~product_3(x0, b_0(), b_0()) | ~product_3(a_0(), x0, d_0()) ....... R2 [R1:L0, U2532:L0] % product_3(multiplicative_identity_0(),b_0(),b_0()) ....... U22 % ~product_3(a_0(), multiplicative_identity_0(), d_0()) ....... R3 [R2:L0, U22:L0] % Derivation of the empty clause: % ~product_3(a_0(),multiplicative_identity_0(),d_0()) ....... U8313 % product_3(a_0(),multiplicative_identity_0(),d_0()) ....... U8 % [] ....... R1 [U8313:L0, U8:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 350836 % resolvents: 350748 factors: 88 % Number of unit clauses generated: 270922 % % unit clauses generated to total clauses generated: 77.22 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 8 [1] = 65 [2] = 8165 [3] = 76 % Total = 8314 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 270922 [2] = 79830 [3] = 84 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] defined_1 (+)7845 (-)0 % [1] less_or_equal_2 (+)0 (-)0 % [2] product_3 (+)228 (-)6 % [3] sum_3 (+)234 (-)1 % ------------------ % Total: (+)8307 (-)7 % Total number of unit clauses retained: 8314 % Number of clauses skipped because of their length: 3492 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 350843 % Number of unification failures: 67655 % Number of unit to unit unification failures: 1375 % N literal unification failure due to lookup root_id table: 2754 % N base clause resolution failure due to lookup table: 1892 % 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: 231638 % N unit clauses dropped because too much nesting: 107664 % 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: 5449 % Total number of terms of all unit clauses in table: 54584 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.07 % Ratio n states used/total unit clauses terms: 0.10 % Number of symbols (columns) in UCFA: 47 % Profile 2: Number of calls to: % ============================== % PTUnify() = 418498 % ConstructUnitClause() = 239944 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.24 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.78 secs % %------------------------------------------------------------------------------