%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD010-1 : TPTP v5.0.0. Bugfixed v2.7.0. % 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 18:14:15 EST 2010 % Result : Unsatisfiable 121.02s % Output : Refutation 121.02s % 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/SystemOnTPTP15365/FLD/FLD010-1+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 = 116] [nf = 0] [nu = 74] [ut = 46] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 91167] [nf = 106] [nu = 51051] [ut = 5432] % Looking for a proof at depth = 3 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~equalish_2(multiplicative_inverse_1(multiplicative_identity_0()),multiplicative_identity_0()) % B2: defined_1(multiplicative_identity_0()) % B3: ~equalish_2(additive_identity_0(),multiplicative_identity_0()) % B4: ~equalish_2(x1,x0) | equalish_2(x0,x1) % B8: ~defined_1(x0) | equalish_2(multiply_2(multiplicative_identity_0(),x0),x0) % B11: ~equalish_2(x2,x1) | ~equalish_2(x0,x2) | equalish_2(x0,x1) % B22: ~defined_1(x0) | defined_1(multiplicative_inverse_1(x0)) | equalish_2(x0,additive_identity_0()) % B23: ~defined_1(x0) | equalish_2(multiply_2(x0,multiplicative_inverse_1(x0)),multiplicative_identity_0()) | equalish_2(x0,additive_identity_0()) % Unit Clauses: % -------------- % U15: < d1 v0 dv0 f0 c2 t2 td1 > ~equalish_2(multiplicative_identity_0(),additive_identity_0()) % U2847: < d2 v0 dv0 f1 c1 t2 td2 > defined_1(multiplicative_inverse_1(multiplicative_identity_0())) % U2848: < d2 v0 dv0 f2 c3 t5 td3 > equalish_2(multiply_2(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0())),multiplicative_identity_0()) % U4052: < d2 v0 dv0 f3 c3 t6 td3 > equalish_2(multiplicative_inverse_1(multiplicative_identity_0()),multiply_2(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0()))) % U5433: < d3 v0 dv0 f2 c3 t5 td3 > ~equalish_2(multiplicative_identity_0(),multiply_2(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0()))) % U10845: < d1 v0 dv0 f2 c3 t5 td3 > equalish_2(multiplicative_identity_0(),multiply_2(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0()))) % --------------- Start of Proof --------------- % Derivation of unit clause U15: % ~equalish_2(additive_identity_0(),multiplicative_identity_0()) ....... B3 % ~equalish_2(x1,x0) | equalish_2(x0,x1) ....... B4 % ~equalish_2(multiplicative_identity_0(), additive_identity_0()) ....... R1 [B3:L0, B4:L1] % Derivation of unit clause U2847: % defined_1(multiplicative_identity_0()) ....... B2 % ~defined_1(x0) | defined_1(multiplicative_inverse_1(x0)) | equalish_2(x0,additive_identity_0()) ....... B22 % defined_1(multiplicative_inverse_1(multiplicative_identity_0())) | equalish_2(multiplicative_identity_0(), additive_identity_0()) ....... R1 [B2:L0, B22:L0] % ~equalish_2(multiplicative_identity_0(),additive_identity_0()) ....... U15 % defined_1(multiplicative_inverse_1(multiplicative_identity_0())) ....... R2 [R1:L1, U15:L0] % Derivation of unit clause U2848: % defined_1(multiplicative_identity_0()) ....... B2 % ~defined_1(x0) | equalish_2(multiply_2(x0,multiplicative_inverse_1(x0)),multiplicative_identity_0()) | equalish_2(x0,additive_identity_0()) ....... B23 % equalish_2(multiply_2(multiplicative_identity_0(), multiplicative_inverse_1(multiplicative_identity_0())), multiplicative_identity_0()) | equalish_2(multiplicative_identity_0(), additive_identity_0()) ....... R1 [B2:L0, B23:L0] % ~equalish_2(multiplicative_identity_0(),additive_identity_0()) ....... U15 % equalish_2(multiply_2(multiplicative_identity_0(), multiplicative_inverse_1(multiplicative_identity_0())), multiplicative_identity_0()) ....... R2 [R1:L1, U15:L0] % Derivation of unit clause U4052: % ~equalish_2(x1,x0) | equalish_2(x0,x1) ....... B4 % ~defined_1(x0) | equalish_2(multiply_2(multiplicative_identity_0(),x0),x0) ....... B8 % equalish_2(x0, multiply_2(multiplicative_identity_0(), x0)) | ~defined_1(x0) ....... R1 [B4:L0, B8:L1] % defined_1(multiplicative_inverse_1(multiplicative_identity_0())) ....... U2847 % equalish_2(multiplicative_inverse_1(multiplicative_identity_0()), multiply_2(multiplicative_identity_0(), multiplicative_inverse_1(multiplicative_identity_0()))) ....... R2 [R1:L1, U2847:L0] % Derivation of unit clause U5433: % ~equalish_2(multiplicative_inverse_1(multiplicative_identity_0()),multiplicative_identity_0()) ....... B0 % ~equalish_2(x2,x1) | ~equalish_2(x0,x2) | equalish_2(x0,x1) ....... B11 % ~equalish_2(x0, multiplicative_identity_0()) | ~equalish_2(multiplicative_inverse_1(multiplicative_identity_0()), x0) ....... R1 [B0:L0, B11:L2] % ~equalish_2(x1,x0) | equalish_2(x0,x1) ....... B4 % ~equalish_2(multiplicative_inverse_1(multiplicative_identity_0()), x0) | ~equalish_2(multiplicative_identity_0(), x0) ....... R2 [R1:L0, B4:L1] % equalish_2(multiplicative_inverse_1(multiplicative_identity_0()),multiply_2(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0()))) ....... U4052 % ~equalish_2(multiplicative_identity_0(), multiply_2(multiplicative_identity_0(), multiplicative_inverse_1(multiplicative_identity_0()))) ....... R3 [R2:L0, U4052:L0] % Derivation of unit clause U10845: % ~equalish_2(x1,x0) | equalish_2(x0,x1) ....... B4 % equalish_2(multiply_2(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0())),multiplicative_identity_0()) ....... U2848 % equalish_2(multiplicative_identity_0(), multiply_2(multiplicative_identity_0(), multiplicative_inverse_1(multiplicative_identity_0()))) ....... R1 [B4:L0, U2848:L0] % Derivation of the empty clause: % equalish_2(multiplicative_identity_0(),multiply_2(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0()))) ....... U10845 % ~equalish_2(multiplicative_identity_0(),multiply_2(multiplicative_identity_0(),multiplicative_inverse_1(multiplicative_identity_0()))) ....... U5433 % [] ....... R1 [U10845:L0, U5433:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 48055652 % resolvents: 48055368 factors: 284 % Number of unit clauses generated: 47958077 % % unit clauses generated to total clauses generated: 99.80 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 4 [1] = 91 [2] = 5386 [3] = 5365 % Total = 10846 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 47958077 [2] = 97273 [3] = 302 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] defined_1 (+)2758 (-)0 % [1] equalish_2 (+)8070 (-)18 % [2] less_or_equal_2 (+)0 (-)0 % ------------------ % Total: (+)10828 (-)18 % Total number of unit clauses retained: 10846 % Number of clauses skipped because of their length: 244458 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 48055663 % Number of unification failures: 329302 % Number of unit to unit unification failures: 145256 % N literal unification failure due to lookup root_id table: 141320 % N base clause resolution failure due to lookup table: 70036 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 6 % N unit clauses dropped because they exceeded max values: 47911662 % N unit clauses dropped because too much nesting: 46382327 % 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: 16 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 60837 % Total number of terms of all unit clauses in table: 141792 % Max allowed number of states in UCFA: 144000 % Ratio n states used/total allowed states: 0.42 % Ratio n states used/total unit clauses terms: 0.43 % Number of symbols (columns) in UCFA: 43 % Profile 2: Number of calls to: % ============================== % PTUnify() = 48384965 % ConstructUnitClause() = 47922504 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 54.83 secs % -------------------------------------------------------- % | | % Inferences per sec: 397154 % | | % -------------------------------------------------------- % Elapsed time: 123 secs % CPU time: 121.01 secs % %------------------------------------------------------------------------------