%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : GRP006-1 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art04.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 20:39:40 EST 2010 % Result : Unsatisfiable 0.71s % Output : Refutation 0.71s % 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/SystemOnTPTP32657/GRP/GRP006-1+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 = 6] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 30] [nf = 42] [nu = 0] [ut = 6] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~an_element_1(inverse_1(the_element_0())) % B3: product_3(x0,inverse_1(x0),identity_0()) % B8: ~an_element_1(x1) | ~an_element_1(x0) | ~product_3(x0,inverse_1(x1),x2) | an_element_1(x2) % Unit Clauses: % -------------- % U2: < d0 v2 dv1 f0 c1 t3 td1 b > product_3(identity_0(),x0,x0) % U5: < d0 v0 dv0 f0 c1 t1 td1 b > an_element_1(the_element_0()) % U7: < d3 v0 dv0 f0 c1 t1 td1 > ~an_element_1(identity_0()) % U341: < d3 v0 dv0 f0 c1 t1 td1 > an_element_1(identity_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % product_3(identity_0(),x0,x0) ....... U2 % Derivation of unit clause U5: % an_element_1(the_element_0()) ....... U5 % Derivation of unit clause U7: % ~an_element_1(inverse_1(the_element_0())) ....... B0 % ~an_element_1(x1) | ~an_element_1(x0) | ~product_3(x0,inverse_1(x1),x2) | an_element_1(x2) ....... B8 % ~an_element_1(x0) | ~an_element_1(x1) | ~product_3(x1, inverse_1(x0), inverse_1(the_element_0())) ....... R1 [B0:L0, B8:L3] % an_element_1(the_element_0()) ....... U5 % ~an_element_1(x0) | ~product_3(x0, inverse_1(the_element_0()), inverse_1(the_element_0())) ....... R2 [R1:L0, U5:L0] % product_3(identity_0(),x0,x0) ....... U2 % ~an_element_1(identity_0()) ....... R3 [R2:L1, U2:L0] % Derivation of unit clause U341: % product_3(x0,inverse_1(x0),identity_0()) ....... B3 % ~an_element_1(x1) | ~an_element_1(x0) | ~product_3(x0,inverse_1(x1),x2) | an_element_1(x2) ....... B8 % ~an_element_1(x0) | ~an_element_1(x0) | an_element_1(identity_0()) ....... R1 [B3:L0, B8:L2] % ~an_element_1(x0) | an_element_1(identity_0()) ....... R2 [R1:L1, R1:L0] % an_element_1(the_element_0()) ....... U5 % an_element_1(identity_0()) ....... R3 [R2:L0, U5:L0] % Derivation of the empty clause: % an_element_1(identity_0()) ....... U341 % ~an_element_1(identity_0()) ....... U7 % [] ....... R1 [U341:L0, U7:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 139149 % resolvents: 139072 factors: 77 % Number of unit clauses generated: 135040 % % unit clauses generated to total clauses generated: 97.05 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 6 [3] = 336 % Total = 342 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 135040 [2] = 4058 [3] = 51 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] an_element_1 (+)2 (-)2 % [1] product_3 (+)110 (-)228 % ------------------ % Total: (+)112 (-)230 % Total number of unit clauses retained: 342 % Number of clauses skipped because of their length: 48 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 139155 % Number of unification failures: 787133 % Number of unit to unit unification failures: 25083 % N literal unification failure due to lookup root_id table: 41 % N base clause resolution failure due to lookup table: 8 % 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: 134704 % N unit clauses dropped because too much nesting: 24566 % 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: 492 % Total number of terms of all unit clauses in table: 2190 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.01 % Ratio n states used/total unit clauses terms: 0.22 % Number of symbols (columns) in UCFA: 39 % Profile 2: Number of calls to: % ============================== % PTUnify() = 926288 % ConstructUnitClause() = 135040 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.21 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.71 secs % %------------------------------------------------------------------------------