%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD009-3 : TPTP v5.0.0. Bugfixed v2.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art11.cs.miami.edu % Model : i686 i686 % CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz % Memory : 2006MB % OS : Linux 2.6.31.5-127.fc12.i686.PAE % CPULimit : 300s % DateTime : Sat Nov 27 18:14:03 EST 2010 % Result : Unsatisfiable 0.47s % Output : Refutation 0.47s % 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/SystemOnTPTP15161/FLD/FLD009-3+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 = 150] [nf = 0] [nu = 94] [ut = 59] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 158256] [nf = 78] [nu = 120649] [ut = 4022] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~sum_3(additive_identity_0(),a_0(),additive_identity_0()) % B1: ~product_3(a_0(),x0,b_0()) % B5: defined_1(b_0()) % B9: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) % B17: ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) % 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()) % B22: ~product_3(x4,x5,x2) | ~product_3(x3,x5,x1) | ~product_3(x0,x3,x4) | product_3(x0,x1,x2) % Unit Clauses: % -------------- % U4: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(a_0()) % U21: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),b_0(),b_0()) % U59: < d2 v0 dv0 f1 c1 t2 td2 > defined_1(multiplicative_inverse_1(a_0())) % U3756: < d2 v0 dv0 f3 c4 t7 td3 > product_3(multiplicative_inverse_1(a_0()),b_0(),multiply_2(multiplicative_inverse_1(a_0()),b_0())) % U4026: < d3 v0 dv0 f1 c3 t4 td2 > product_3(a_0(),multiplicative_inverse_1(a_0()),multiplicative_identity_0()) % U4155: < d3 v0 dv0 f1 c3 t4 td2 > ~product_3(a_0(),multiplicative_inverse_1(a_0()),multiplicative_identity_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U4: % defined_1(a_0()) ....... U4 % Derivation of unit clause U21: % defined_1(b_0()) ....... B5 % ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B9 % product_3(multiplicative_identity_0(), b_0(), b_0()) ....... R1 [B5:L0, B9:L0] % Derivation of unit clause U59: % ~sum_3(additive_identity_0(),a_0(),additive_identity_0()) ....... B0 % ~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 [B0:L0, B19:L2] % defined_1(a_0()) ....... U4 % defined_1(multiplicative_inverse_1(a_0())) ....... R2 [R1:L0, U4:L0] % Derivation of unit clause U3756: % defined_1(b_0()) ....... B5 % ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) ....... B17 % ~defined_1(x0) | product_3(x0, b_0(), multiply_2(x0, b_0())) ....... R1 [B5:L0, B17:L0] % defined_1(multiplicative_inverse_1(a_0())) ....... U59 % product_3(multiplicative_inverse_1(a_0()), b_0(), multiply_2(multiplicative_inverse_1(a_0()), b_0())) ....... R2 [R1:L0, U59:L0] % Derivation of unit clause U4026: % ~sum_3(additive_identity_0(),a_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()) ....... B20 % ~defined_1(a_0()) | product_3(multiplicative_inverse_1(a_0()), a_0(), multiplicative_identity_0()) ....... R1 [B0:L0, B20:L2] % ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B7 % ~defined_1(a_0()) | product_3(a_0(), multiplicative_inverse_1(a_0()), multiplicative_identity_0()) ....... R2 [R1:L1, B7:L0] % defined_1(a_0()) ....... U4 % product_3(a_0(), multiplicative_inverse_1(a_0()), multiplicative_identity_0()) ....... R3 [R2:L0, U4:L0] % Derivation of unit clause U4155: % ~product_3(a_0(),x0,b_0()) ....... B1 % ~product_3(x4,x5,x2) | ~product_3(x3,x5,x1) | ~product_3(x0,x3,x4) | product_3(x0,x1,x2) ....... B22 % ~product_3(x0, x1, b_0()) | ~product_3(x2, x1, x3) | ~product_3(a_0(), x2, x0) ....... R1 [B1:L0, B22:L3] % product_3(multiplicative_identity_0(),b_0(),b_0()) ....... U21 % ~product_3(x0, b_0(), x1) | ~product_3(a_0(), x0, multiplicative_identity_0()) ....... R2 [R1:L0, U21:L0] % product_3(multiplicative_inverse_1(a_0()),b_0(),multiply_2(multiplicative_inverse_1(a_0()),b_0())) ....... U3756 % ~product_3(a_0(), multiplicative_inverse_1(a_0()), multiplicative_identity_0()) ....... R3 [R2:L0, U3756:L0] % Derivation of the empty clause: % ~product_3(a_0(),multiplicative_inverse_1(a_0()),multiplicative_identity_0()) ....... U4155 % product_3(a_0(),multiplicative_inverse_1(a_0()),multiplicative_identity_0()) ....... U4026 % [] ....... R1 [U4155:L0, U4026:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 160158 % resolvents: 160042 factors: 116 % Number of unit clauses generated: 121150 % % unit clauses generated to total clauses generated: 75.64 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 7 [1] = 52 [2] = 3963 [3] = 134 % Total = 4156 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 121150 [2] = 38928 [3] = 80 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] defined_1 (+)3733 (-)0 % [1] less_or_equal_2 (+)0 (-)0 % [2] product_3 (+)116 (-)51 % [3] sum_3 (+)173 (-)83 % ------------------ % Total: (+)4022 (-)134 % Total number of unit clauses retained: 4156 % Number of clauses skipped because of their length: 3581 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 160169 % Number of unification failures: 135425 % Number of unit to unit unification failures: 20274 % N literal unification failure due to lookup root_id table: 2974 % N base clause resolution failure due to lookup table: 1713 % 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: 102321 % N unit clauses dropped because too much nesting: 46557 % 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: 3674 % Total number of terms of all unit clauses in table: 26624 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.05 % Ratio n states used/total unit clauses terms: 0.14 % Number of symbols (columns) in UCFA: 46 % Profile 2: Number of calls to: % ============================== % PTUnify() = 295594 % ConstructUnitClause() = 106470 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.08 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.46 secs % %------------------------------------------------------------------------------