%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN032-1 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art07.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 : Sun Nov 28 08:23:25 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/SystemOnTPTP21902/SYN/SYN032-1+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 = 2] [nf = 0] [nu = 0] [ut = 0] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 16] [nf = 2] [nu = 2] [ut = 2] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 54] [nf = 4] [nu = 4] [ut = 2] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 132] [nf = 6] [nu = 6] [ut = 2] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 318] [nf = 22] [nu = 8] [ut = 2] % Looking for a proof at depth = 6 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~a | ~b % B1: ~a | b % B2: ~c | ~h % B3: ~h | c % Unit Clauses: % -------------- % U1: < d2 v0 dv0 f0 c0 t0 td0 > ~h % U2: < d6 v0 dv0 f0 c0 t0 td0 > ~j % U3: < d6 v0 dv0 f0 c0 t0 td0 > k % U4: < d6 v0 dv0 f0 c0 t0 td0 > j % --------------- Start of Proof --------------- % Derivation of unit clause U1: % ~c | ~h ....... B2 % ~h | c ....... B3 % ~h | ~h ....... R1 [B2:L0, B3:L1] % ~h ....... R2 [R1:L0, R1:L1] % Derivation of unit clause U2: % ~a | ~b ....... B0 % ~a | b ....... B1 % ~a | ~a ....... R1 [B0:L1, B1:L1] % ~j | a | h ....... B5 % ~a | ~j | h ....... R2 [R1:L0, B5:L1] % ~h ....... U1 % ~a | ~j ....... R3 [R2:L2, U1:L0] % ~j | a | h ....... B5 % ~j | ~j | h ....... R4 [R3:L0, B5:L1] % ~j | h ....... R5 [R4:L0, R4:L1] % ~h ....... U1 % ~j ....... R6 [R5:L1, U1:L0] % Derivation of unit clause U3: % ~c | ~h ....... B2 % ~h | c ....... B3 % ~h | ~h ....... R1 [B2:L0, B3:L1] % h | j | k ....... B4 % ~h | j | k ....... R2 [R1:L0, B4:L0] % ~j ....... U2 % ~h | k ....... R3 [R2:L1, U2:L0] % h | j | k ....... B4 % k | j | k ....... R4 [R3:L0, B4:L0] % j | k ....... R5 [R4:L0, R4:L2] % ~j ....... U2 % k ....... R6 [R5:L0, U2:L0] % Derivation of unit clause U4: % ~c | ~h ....... B2 % ~h | c ....... B3 % ~h | ~h ....... R1 [B2:L0, B3:L1] % ~k | h | j ....... B6 % ~h | ~k | j ....... R2 [R1:L0, B6:L1] % k ....... U3 % ~h | j ....... R3 [R2:L1, U3:L0] % ~k | h | j ....... B6 % j | ~k | j ....... R4 [R3:L0, B6:L1] % ~k | j ....... R5 [R4:L0, R4:L2] % k ....... U3 % j ....... R6 [R5:L0, U3:L0] % Derivation of the empty clause: % j ....... U4 % ~j ....... U2 % [] ....... R1 [U4:L0, U2:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 654 % resolvents: 618 factors: 36 % Number of unit clauses generated: 45 % % unit clauses generated to total clauses generated: 6.88 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [2] = 2 [6] = 3 % Total = 5 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 45 [2] = 215 [3] = 394 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] a (+)0 (-)1 % [1] b (+)0 (-)0 % [2] c (+)0 (-)0 % [3] h (+)0 (-)1 % [4] j (+)1 (-)1 % [5] k (+)1 (-)0 % ------------------ % Total: (+)2 (-)3 % Total number of unit clauses retained: 5 % Number of clauses skipped because of their length: 468 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 286 % Number of successful unifications: 674 % Number of unification failures: 0 % Number of unit to unit unification failures: 0 % N literal unification failure due to lookup root_id table: 3505 % N base clause resolution failure due to lookup table: 1373 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 0 % N unit clauses dropped because they exceeded max values: 31 % 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: 0 % Max term depth in a unit clause: 0 % Number of states in UCFA table: 3 % Total number of terms of all unit clauses in table: 0 % 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: inf % Number of symbols (columns) in UCFA: 40 % Profile 2: Number of calls to: % ============================== % PTUnify() = 674 % ConstructUnitClause() = 36 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.14 secs % %------------------------------------------------------------------------------