%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD025-4 : TPTP v5.0.0. Bugfixed v2.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art03.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 18:26:41 EST 2010 % Result : Unsatisfiable 2.61s % Output : Refutation 2.61s % 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/SystemOnTPTP21276/FLD/FLD025-4+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 = 0 secs [nr = 249] [nf = 0] [nu = 166] [ut = 105] % Looking for a proof at depth = 2 ... % t = 3 secs [nr = 1300609] [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: product_3(multiplicative_identity_0(),a_0(),b_0()) % B1: product_3(multiplicative_identity_0(),c_0(),d_0()) % B3: ~product_3(d_0(),b_0(),u_0()) % B6: defined_1(a_0()) % B10: defined_1(u_0()) % B12: ~product_3(x1,x0,x2) | product_3(x0,x1,x2) % B14: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) % B22: ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) % B26: ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) % B27: ~product_3(x4,x5,x2) | ~product_3(x3,x5,x1) | ~product_3(x0,x3,x4) | product_3(x0,x1,x2) % Unit Clauses: % -------------- % U2: < d0 v0 dv0 f0 c3 t3 td1 b nc > product_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 > ~product_3(b_0(),d_0(),u_0()) % U24: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),a_0(),a_0()) % U40: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),u_0(),u_0()) % U45: < d1 v0 dv0 f0 c3 t3 td1 > product_3(a_0(),multiplicative_identity_0(),a_0()) % U3714: < d2 v0 dv0 f1 c4 t5 td2 > product_3(a_0(),d_0(),multiply_2(a_0(),d_0())) % U27340: < d3 v0 dv0 f0 c3 t3 td1 > product_3(b_0(),c_0(),u_0()) % U27345: < d3 v0 dv0 f1 c4 t5 td2 > ~product_3(multiplicative_identity_0(),multiply_2(a_0(),d_0()),u_0()) % U27404: < d3 v0 dv0 f1 c4 t5 td2 > ~product_3(a_0(),c_0(),multiply_2(a_0(),d_0())) % U27423: < d3 v0 dv0 f1 c4 t5 td2 > product_3(a_0(),c_0(),multiply_2(a_0(),d_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % product_3(a_0(),c_0(),u_0()) ....... U2 % Derivation of unit clause U9: % defined_1(d_0()) ....... U9 % Derivation of unit clause U15: % ~product_3(d_0(),b_0(),u_0()) ....... B3 % ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B12 % ~product_3(b_0(), d_0(), u_0()) ....... R1 [B3:L0, B12:L1] % Derivation of unit clause U24: % defined_1(a_0()) ....... B6 % ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B14 % product_3(multiplicative_identity_0(), a_0(), a_0()) ....... R1 [B6:L0, B14:L0] % Derivation of unit clause U40: % defined_1(u_0()) ....... B10 % ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B14 % product_3(multiplicative_identity_0(), u_0(), u_0()) ....... R1 [B10:L0, B14:L0] % Derivation of unit clause U45: % ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B12 % product_3(multiplicative_identity_0(),a_0(),a_0()) ....... U24 % product_3(a_0(), multiplicative_identity_0(), a_0()) ....... R1 [B12:L0, U24:L0] % Derivation of unit clause U3714: % defined_1(a_0()) ....... B6 % ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) ....... B22 % ~defined_1(x0) | product_3(a_0(), x0, multiply_2(a_0(), x0)) ....... R1 [B6:L0, B22:L1] % defined_1(d_0()) ....... U9 % product_3(a_0(), d_0(), multiply_2(a_0(), d_0())) ....... R2 [R1:L0, U9:L0] % Derivation of unit clause U27340: % product_3(multiplicative_identity_0(),a_0(),b_0()) ....... B0 % ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B26 % ~product_3(multiplicative_identity_0(), x0, x1) | ~product_3(a_0(), x2, x0) | product_3(b_0(), x2, x1) ....... R1 [B0:L0, B26:L2] % product_3(multiplicative_identity_0(),u_0(),u_0()) ....... U40 % ~product_3(a_0(), x0, u_0()) | product_3(b_0(), x0, u_0()) ....... R2 [R1:L0, U40:L0] % product_3(a_0(),c_0(),u_0()) ....... U2 % product_3(b_0(), c_0(), u_0()) ....... R3 [R2:L0, U2:L0] % Derivation of unit clause U27345: % product_3(multiplicative_identity_0(),a_0(),b_0()) ....... B0 % ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B26 % ~product_3(multiplicative_identity_0(), x0, x1) | ~product_3(a_0(), x2, x0) | product_3(b_0(), x2, x1) ....... R1 [B0:L0, B26:L2] % product_3(a_0(),d_0(),multiply_2(a_0(),d_0())) ....... U3714 % ~product_3(multiplicative_identity_0(), multiply_2(a_0(), d_0()), x0) | product_3(b_0(), d_0(), x0) ....... R2 [R1:L1, U3714:L0] % ~product_3(b_0(),d_0(),u_0()) ....... U15 % ~product_3(multiplicative_identity_0(), multiply_2(a_0(), d_0()), u_0()) ....... R3 [R2:L1, U15:L0] % Derivation of unit clause U27404: % product_3(multiplicative_identity_0(),a_0(),b_0()) ....... B0 % ~product_3(x4,x5,x2) | ~product_3(x3,x5,x1) | ~product_3(x0,x3,x4) | product_3(x0,x1,x2) ....... B27 % ~product_3(b_0(), x0, x1) | ~product_3(a_0(), x0, x2) | product_3(multiplicative_identity_0(), x2, x1) ....... R1 [B0:L0, B27:L2] % product_3(b_0(),c_0(),u_0()) ....... U27340 % ~product_3(a_0(), c_0(), x0) | product_3(multiplicative_identity_0(), x0, u_0()) ....... R2 [R1:L0, U27340:L0] % ~product_3(multiplicative_identity_0(),multiply_2(a_0(),d_0()),u_0()) ....... U27345 % ~product_3(a_0(), c_0(), multiply_2(a_0(), d_0())) ....... R3 [R2:L1, U27345:L0] % Derivation of unit clause U27423: % product_3(multiplicative_identity_0(),c_0(),d_0()) ....... B1 % ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B26 % ~product_3(x0, d_0(), x1) | ~product_3(x0, multiplicative_identity_0(), x2) | product_3(x2, c_0(), x1) ....... R1 [B1:L0, B26:L1] % product_3(a_0(),d_0(),multiply_2(a_0(),d_0())) ....... U3714 % ~product_3(a_0(), multiplicative_identity_0(), x0) | product_3(x0, c_0(), multiply_2(a_0(), d_0())) ....... R2 [R1:L0, U3714:L0] % product_3(a_0(),multiplicative_identity_0(),a_0()) ....... U45 % product_3(a_0(), c_0(), multiply_2(a_0(), d_0())) ....... R3 [R2:L0, U45:L0] % Derivation of the empty clause: % product_3(a_0(),c_0(),multiply_2(a_0(),d_0())) ....... U27423 % ~product_3(a_0(),c_0(),multiply_2(a_0(),d_0())) ....... U27404 % [] ....... R1 [U27423:L0, U27404:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 1302952 % resolvents: 1302846 factors: 106 % Number of unit clauses generated: 1034716 % % unit clauses generated to total clauses generated: 79.41 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 12 [1] = 93 [2] = 27209 [3] = 110 % Total = 27424 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 1034716 [2] = 268128 [3] = 108 % 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 (+)396 (-)8 % [3] sum_3 (+)426 (-)1 % ------------------ % Total: (+)27415 (-)9 % Total number of unit clauses retained: 27424 % Number of clauses skipped because of their length: 5791 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 1302970 % Number of unification failures: 213836 % Number of unit to unit unification failures: 3593 % N literal unification failure due to lookup root_id table: 4331 % N base clause resolution failure due to lookup table: 3084 % 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: 901716 % 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: 12308 % Total number of terms of all unit clauses in table: 183196 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.15 % Ratio n states used/total unit clauses terms: 0.07 % Number of symbols (columns) in UCFA: 49 % Profile 2: Number of calls to: % ============================== % PTUnify() = 1516806 % ConstructUnitClause() = 929128 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 1.05 secs % -------------------------------------------------------- % | | % Inferences per sec: 651476 % | | % -------------------------------------------------------- % Elapsed time: 3 secs % CPU time: 2.61 secs % %------------------------------------------------------------------------------