%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : GRP044-2 : TPTP v5.0.0. Released v1.0.0. % 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 20:46:48 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/SystemOnTPTP9892/GRP/GRP044-2+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 = 14] [nf = 0] [nu = 0] [ut = 6] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 226] [nf = 36] [nu = 100] [ut = 44] % 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(b_0(),c_0(),result_0()) % B2: product_3(identity_0(),x0,x0) % B6: ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) % B8: ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) % Unit Clauses: % -------------- % U2: < d0 v2 dv1 f0 c1 t3 td1 b > product_3(identity_0(),x0,x0) % U4: < d0 v0 dv0 f0 c3 t3 td1 b > product_3(a_0(),c_0(),result_0()) % U5: < d0 v0 dv0 f0 c2 t2 td1 b > equalish_2(a_0(),b_0()) % U14: < d2 v0 dv0 f0 c3 t3 td1 > product_3(identity_0(),a_0(),b_0()) % U44: < d3 v0 dv0 f0 c3 t3 td1 > ~product_3(identity_0(),a_0(),b_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % product_3(identity_0(),x0,x0) ....... U2 % Derivation of unit clause U4: % product_3(a_0(),c_0(),result_0()) ....... U4 % Derivation of unit clause U5: % equalish_2(a_0(),b_0()) ....... U5 % Derivation of unit clause U14: % product_3(identity_0(),x0,x0) ....... B2 % ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) ....... B6 % ~equalish_2(x0, x1) | product_3(identity_0(), x0, x1) ....... R1 [B2:L0, B6:L1] % equalish_2(a_0(),b_0()) ....... U5 % product_3(identity_0(), a_0(), b_0()) ....... R2 [R1:L0, U5:L0] % Derivation of unit clause U44: % ~product_3(b_0(),c_0(),result_0()) ....... B0 % ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B8 % ~product_3(x0, x1, result_0()) | ~product_3(x2, c_0(), x1) | ~product_3(x0, x2, b_0()) ....... R1 [B0:L0, B8:L3] % product_3(identity_0(),x0,x0) ....... U2 % ~product_3(x0, c_0(), result_0()) | ~product_3(identity_0(), x0, b_0()) ....... R2 [R1:L0, U2:L0] % product_3(a_0(),c_0(),result_0()) ....... U4 % ~product_3(identity_0(), a_0(), b_0()) ....... R3 [R2:L0, U4:L0] % Derivation of the empty clause: % ~product_3(identity_0(),a_0(),b_0()) ....... U44 % product_3(identity_0(),a_0(),b_0()) ....... U14 % [] ....... R1 [U44:L0, U14:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 281 % resolvents: 238 factors: 43 % Number of unit clauses generated: 107 % % unit clauses generated to total clauses generated: 38.08 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 6 [2] = 38 [3] = 1 % Total = 45 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 107 [2] = 145 [3] = 29 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] equalish_2 (+)22 (-)1 % [1] product_3 (+)17 (-)5 % ------------------ % Total: (+)39 (-)6 % Total number of unit clauses retained: 45 % Number of clauses skipped because of their length: 76 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 286 % Number of unification failures: 237 % Number of unit to unit unification failures: 94 % N literal unification failure due to lookup root_id table: 61 % N base clause resolution failure due to lookup table: 7 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 8 % N unit clauses dropped because they exceeded max values: 62 % 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: 8 % Max term depth in a unit clause: 3 % Number of states in UCFA table: 104 % Total number of terms of all unit clauses in table: 202 % 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: 0.51 % Number of symbols (columns) in UCFA: 43 % Profile 2: Number of calls to: % ============================== % PTUnify() = 523 % ConstructUnitClause() = 101 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.13 secs % %------------------------------------------------------------------------------