%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD013-4 : 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 18:19:35 EST 2010 % Result : Unsatisfiable 2.64s % Output : Refutation 2.64s % 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/SystemOnTPTP23048/FLD/FLD013-4+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 = 249] [nf = 0] [nu = 166] [ut = 105] % Looking for a proof at depth = 2 ... % t = 3 secs [nr = 1300612] [nf = 90] [nu = 1034358] [ut = 27314] % 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(),b_0()) % B1: sum_3(additive_identity_0(),c_0(),d_0()) % B3: ~sum_3(d_0(),b_0(),u_0()) % B6: defined_1(a_0()) % B10: defined_1(u_0()) % B13: ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2) % B15: ~defined_1(x0) | sum_3(additive_identity_0(),x0,x0) % B23: ~defined_1(x1) | ~defined_1(x0) | sum_3(x0,x1,add_2(x0,x1)) % B28: ~sum_3(x3,x5,x2) | ~sum_3(x4,x1,x5) | ~sum_3(x3,x4,x0) | sum_3(x0,x1,x2) % B29: ~sum_3(x4,x5,x2) | ~sum_3(x3,x5,x1) | ~sum_3(x0,x3,x4) | sum_3(x0,x1,x2) % Unit Clauses: % -------------- % U2: < d0 v0 dv0 f0 c3 t3 td1 b nc > sum_3(a_0(),c_0(),u_0()) % U9: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(d_0()) % U15: < d1 v0 dv0 f0 c3 t3 td1 > ~sum_3(b_0(),d_0(),u_0()) % U25: < d1 v0 dv0 f0 c3 t3 td1 > sum_3(additive_identity_0(),a_0(),a_0()) % U41: < d1 v0 dv0 f0 c3 t3 td1 > sum_3(additive_identity_0(),u_0(),u_0()) % U53: < d1 v0 dv0 f0 c3 t3 td1 > sum_3(a_0(),additive_identity_0(),a_0()) % U3737: < d2 v0 dv0 f1 c4 t5 td2 > sum_3(a_0(),d_0(),add_2(a_0(),d_0())) % U27344: < d3 v0 dv0 f0 c3 t3 td1 > sum_3(b_0(),c_0(),u_0()) % U27351: < d3 v0 dv0 f1 c4 t5 td2 > ~sum_3(additive_identity_0(),add_2(a_0(),d_0()),u_0()) % U27480: < d3 v0 dv0 f1 c4 t5 td2 > ~sum_3(a_0(),c_0(),add_2(a_0(),d_0())) % U27506: < d3 v0 dv0 f1 c4 t5 td2 > sum_3(a_0(),c_0(),add_2(a_0(),d_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % sum_3(a_0(),c_0(),u_0()) ....... U2 % Derivation of unit clause U9: % defined_1(d_0()) ....... U9 % Derivation of unit clause U15: % ~sum_3(d_0(),b_0(),u_0()) ....... B3 % ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2) ....... B13 % ~sum_3(b_0(), d_0(), u_0()) ....... R1 [B3:L0, B13:L1] % Derivation of unit clause U25: % defined_1(a_0()) ....... B6 % ~defined_1(x0) | sum_3(additive_identity_0(),x0,x0) ....... B15 % sum_3(additive_identity_0(), a_0(), a_0()) ....... R1 [B6:L0, B15:L0] % Derivation of unit clause U41: % defined_1(u_0()) ....... B10 % ~defined_1(x0) | sum_3(additive_identity_0(),x0,x0) ....... B15 % sum_3(additive_identity_0(), u_0(), u_0()) ....... R1 [B10:L0, B15:L0] % Derivation of unit clause U53: % ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2) ....... B13 % sum_3(additive_identity_0(),a_0(),a_0()) ....... U25 % sum_3(a_0(), additive_identity_0(), a_0()) ....... R1 [B13:L0, U25:L0] % Derivation of unit clause U3737: % defined_1(a_0()) ....... B6 % ~defined_1(x1) | ~defined_1(x0) | sum_3(x0,x1,add_2(x0,x1)) ....... B23 % ~defined_1(x0) | sum_3(a_0(), x0, add_2(a_0(), x0)) ....... R1 [B6:L0, B23:L1] % defined_1(d_0()) ....... U9 % sum_3(a_0(), d_0(), add_2(a_0(), d_0())) ....... R2 [R1:L0, U9:L0] % Derivation of unit clause U27344: % sum_3(additive_identity_0(),a_0(),b_0()) ....... B0 % ~sum_3(x3,x5,x2) | ~sum_3(x4,x1,x5) | ~sum_3(x3,x4,x0) | sum_3(x0,x1,x2) ....... B28 % ~sum_3(additive_identity_0(), x0, x1) | ~sum_3(a_0(), x2, x0) | sum_3(b_0(), x2, x1) ....... R1 [B0:L0, B28:L2] % sum_3(additive_identity_0(),u_0(),u_0()) ....... U41 % ~sum_3(a_0(), x0, u_0()) | sum_3(b_0(), x0, u_0()) ....... R2 [R1:L0, U41:L0] % sum_3(a_0(),c_0(),u_0()) ....... U2 % sum_3(b_0(), c_0(), u_0()) ....... R3 [R2:L0, U2:L0] % Derivation of unit clause U27351: % sum_3(additive_identity_0(),a_0(),b_0()) ....... B0 % ~sum_3(x3,x5,x2) | ~sum_3(x4,x1,x5) | ~sum_3(x3,x4,x0) | sum_3(x0,x1,x2) ....... B28 % ~sum_3(additive_identity_0(), x0, x1) | ~sum_3(a_0(), x2, x0) | sum_3(b_0(), x2, x1) ....... R1 [B0:L0, B28:L2] % sum_3(a_0(),d_0(),add_2(a_0(),d_0())) ....... U3737 % ~sum_3(additive_identity_0(), add_2(a_0(), d_0()), x0) | sum_3(b_0(), d_0(), x0) ....... R2 [R1:L1, U3737:L0] % ~sum_3(b_0(),d_0(),u_0()) ....... U15 % ~sum_3(additive_identity_0(), add_2(a_0(), d_0()), u_0()) ....... R3 [R2:L1, U15:L0] % Derivation of unit clause U27480: % sum_3(additive_identity_0(),a_0(),b_0()) ....... B0 % ~sum_3(x4,x5,x2) | ~sum_3(x3,x5,x1) | ~sum_3(x0,x3,x4) | sum_3(x0,x1,x2) ....... B29 % ~sum_3(b_0(), x0, x1) | ~sum_3(a_0(), x0, x2) | sum_3(additive_identity_0(), x2, x1) ....... R1 [B0:L0, B29:L2] % sum_3(b_0(),c_0(),u_0()) ....... U27344 % ~sum_3(a_0(), c_0(), x0) | sum_3(additive_identity_0(), x0, u_0()) ....... R2 [R1:L0, U27344:L0] % ~sum_3(additive_identity_0(),add_2(a_0(),d_0()),u_0()) ....... U27351 % ~sum_3(a_0(), c_0(), add_2(a_0(), d_0())) ....... R3 [R2:L1, U27351:L0] % Derivation of unit clause U27506: % sum_3(additive_identity_0(),c_0(),d_0()) ....... B1 % ~sum_3(x3,x5,x2) | ~sum_3(x4,x1,x5) | ~sum_3(x3,x4,x0) | sum_3(x0,x1,x2) ....... B28 % ~sum_3(x0, d_0(), x1) | ~sum_3(x0, additive_identity_0(), x2) | sum_3(x2, c_0(), x1) ....... R1 [B1:L0, B28:L1] % sum_3(a_0(),d_0(),add_2(a_0(),d_0())) ....... U3737 % ~sum_3(a_0(), additive_identity_0(), x0) | sum_3(x0, c_0(), add_2(a_0(), d_0())) ....... R2 [R1:L0, U3737:L0] % sum_3(a_0(),additive_identity_0(),a_0()) ....... U53 % sum_3(a_0(), c_0(), add_2(a_0(), d_0())) ....... R3 [R2:L0, U53:L0] % Derivation of the empty clause: % sum_3(a_0(),c_0(),add_2(a_0(),d_0())) ....... U27506 % ~sum_3(a_0(),c_0(),add_2(a_0(),d_0())) ....... U27480 % [] ....... R1 [U27506:L0, U27480:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 1303882 % resolvents: 1303776 factors: 106 % Number of unit clauses generated: 1034914 % % unit clauses generated to total clauses generated: 79.37 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 12 [1] = 93 [2] = 27209 [3] = 193 % Total = 27507 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 1034914 [2] = 268844 [3] = 124 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] defined_1 (+)26593 (-)0 % [1] less_or_equal_2 (+)0 (-)0 % [2] product_3 (+)286 (-)0 % [3] sum_3 (+)618 (-)10 % ------------------ % Total: (+)27497 (-)10 % Total number of unit clauses retained: 27507 % Number of clauses skipped because of their length: 8046 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 1303900 % Number of unification failures: 429491 % Number of unit to unit unification failures: 6178 % N literal unification failure due to lookup root_id table: 8798 % N base clause resolution failure due to lookup table: 3321 % 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: 901831 % N unit clauses dropped because too much nesting: 428743 % 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: 12458 % Total number of terms of all unit clauses in table: 183718 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.16 % Ratio n states used/total unit clauses terms: 0.07 % Number of symbols (columns) in UCFA: 49 % Profile 2: Number of calls to: % ============================== % PTUnify() = 1733391 % ConstructUnitClause() = 929326 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 1.02 secs % -------------------------------------------------------- % | | % Inferences per sec: 651941 % | | % -------------------------------------------------------- % Elapsed time: 3 secs % CPU time: 2.64 secs % %------------------------------------------------------------------------------