%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : GRP003-1 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art09.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 20:39:19 EST 2010 % Result : Unsatisfiable 0.14s % Output : Refutation 0.14s % 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/SystemOnTPTP4248/GRP/GRP003-1+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 = 0] [nf = 0] [nu = 0] [ut = 3] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 14] [nf = 26] [nu = 0] [ut = 3] % 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(a_0(),identity_0(),a_0()) % B1: product_3(identity_0(),x0,x0) % B3: ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) % B4: ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) % Unit Clauses: % -------------- % U1: < d0 v2 dv1 f0 c1 t3 td1 b > product_3(identity_0(),x0,x0) % U2: < d0 v2 dv1 f1 c1 t4 td2 b > product_3(inverse_1(x0),x0,identity_0()) % U3: < d3 v1 dv1 f0 c2 t3 td1 > ~product_3(x0,identity_0(),a_0()) % U16: < d3 v2 dv1 f2 c1 t5 td3 > product_3(inverse_1(inverse_1(x0)),identity_0(),x0) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % product_3(identity_0(),x0,x0) ....... U1 % Derivation of unit clause U2: % product_3(inverse_1(x0),x0,identity_0()) ....... U2 % Derivation of unit clause U3: % ~product_3(a_0(),identity_0(),a_0()) ....... B0 % ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B3 % ~product_3(x0, x1, a_0()) | ~product_3(x2, identity_0(), x1) | ~product_3(x0, x2, a_0()) ....... R1 [B0:L0, B3:L3] % ~product_3(x0, x1, a_0()) | ~product_3(x1, identity_0(), x1) ....... R2 [R1:L2, R1:L0] % product_3(identity_0(),x0,x0) ....... U1 % ~product_3(x0, identity_0(), a_0()) ....... R3 [R2:L1, U1:L0] % Derivation of unit clause U16: % product_3(identity_0(),x0,x0) ....... B1 % ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) ....... B4 % ~product_3(x0, x1, x2) | ~product_3(x3, x0, identity_0()) | product_3(x3, x2, x1) ....... R1 [B1:L0, B4:L0] % product_3(inverse_1(x0),x0,identity_0()) ....... U2 % ~product_3(x0, inverse_1(x1), identity_0()) | product_3(x0, identity_0(), x1) ....... R2 [R1:L0, U2:L0] % product_3(inverse_1(x0),x0,identity_0()) ....... U2 % product_3(inverse_1(inverse_1(x0)), identity_0(), x0) ....... R3 [R2:L0, U2:L0] % Derivation of the empty clause: % product_3(inverse_1(inverse_1(x0)),identity_0(),x0) ....... U16 % ~product_3(x0,identity_0(),a_0()) ....... U3 % [] ....... R1 [U16:L0, U3:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 297 % resolvents: 255 factors: 42 % Number of unit clauses generated: 179 % % unit clauses generated to total clauses generated: 60.27 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 3 [3] = 14 % Total = 17 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 179 [2] = 98 [3] = 20 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] product_3 (+)5 (-)12 % ------------------ % Total: (+)5 (-)12 % Total number of unit clauses retained: 17 % Number of clauses skipped because of their length: 20 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 303 % Number of unification failures: 401 % Number of unit to unit unification failures: 49 % N literal unification failure due to lookup root_id table: 17 % N base clause resolution failure due to lookup table: 0 % 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: 165 % N unit clauses dropped because too much nesting: 0 % 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: 6 % Max term depth in a unit clause: 3 % Number of states in UCFA table: 41 % Total number of terms of all unit clauses in table: 68 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.60 % Number of symbols (columns) in UCFA: 38 % Profile 2: Number of calls to: % ============================== % PTUnify() = 704 % ConstructUnitClause() = 179 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.13 secs % %------------------------------------------------------------------------------