%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD070-4 : TPTP v5.0.0. Bugfixed v2.1.0. % 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 19:25:30 EST 2010 % Result : Unsatisfiable 0.80s % Output : Refutation 0.80s % 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/SystemOnTPTP26041/FLD/FLD070-4+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 = 185] [nf = 0] [nu = 113] [ut = 74] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 349444] [nf = 72] [nu = 270655] [ut = 8241] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: sum_3(a_0(),b_0(),c_0()) % B1: less_or_equal_2(additive_identity_0(),b_0()) % B7: defined_1(b_0()) % B13: ~defined_1(x0) | sum_3(additive_identity_0(),x0,x0) % B16: ~less_or_equal_2(x2,x1) | ~less_or_equal_2(x0,x2) | less_or_equal_2(x0,x1) % B28: ~less_or_equal_2(x2,x3) | ~sum_3(x3,x4,x1) | ~sum_3(x2,x4,x0) | less_or_equal_2(x0,x1) % Unit Clauses: % -------------- % U2: < d0 v0 dv0 f0 c2 t2 td1 b nc > less_or_equal_2(additive_identity_0(),a_0()) % U3: < d0 v0 dv0 f0 c2 t2 td1 b nc > ~less_or_equal_2(additive_identity_0(),c_0()) % U24: < d1 v0 dv0 f0 c3 t3 td1 > sum_3(additive_identity_0(),b_0(),b_0()) % U74: < d2 v0 dv0 f0 c2 t2 td1 > ~less_or_equal_2(b_0(),c_0()) % U8284: < d3 v0 dv0 f0 c2 t2 td1 > less_or_equal_2(b_0(),c_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % less_or_equal_2(additive_identity_0(),a_0()) ....... U2 % Derivation of unit clause U3: % ~less_or_equal_2(additive_identity_0(),c_0()) ....... U3 % Derivation of unit clause U24: % defined_1(b_0()) ....... B7 % ~defined_1(x0) | sum_3(additive_identity_0(),x0,x0) ....... B13 % sum_3(additive_identity_0(), b_0(), b_0()) ....... R1 [B7:L0, B13:L0] % Derivation of unit clause U74: % less_or_equal_2(additive_identity_0(),b_0()) ....... B1 % ~less_or_equal_2(x2,x1) | ~less_or_equal_2(x0,x2) | less_or_equal_2(x0,x1) ....... B16 % ~less_or_equal_2(b_0(), x0) | less_or_equal_2(additive_identity_0(), x0) ....... R1 [B1:L0, B16:L1] % ~less_or_equal_2(additive_identity_0(),c_0()) ....... U3 % ~less_or_equal_2(b_0(), c_0()) ....... R2 [R1:L1, U3:L0] % Derivation of unit clause U8284: % sum_3(a_0(),b_0(),c_0()) ....... B0 % ~less_or_equal_2(x2,x3) | ~sum_3(x3,x4,x1) | ~sum_3(x2,x4,x0) | less_or_equal_2(x0,x1) ....... B28 % ~less_or_equal_2(x0, a_0()) | ~sum_3(x0, b_0(), x1) | less_or_equal_2(x1, c_0()) ....... R1 [B0:L0, B28:L1] % less_or_equal_2(additive_identity_0(),a_0()) ....... U2 % ~sum_3(additive_identity_0(), b_0(), x0) | less_or_equal_2(x0, c_0()) ....... R2 [R1:L0, U2:L0] % sum_3(additive_identity_0(),b_0(),b_0()) ....... U24 % less_or_equal_2(b_0(), c_0()) ....... R3 [R2:L0, U24:L0] % Derivation of the empty clause: % less_or_equal_2(b_0(),c_0()) ....... U8284 % ~less_or_equal_2(b_0(),c_0()) ....... U74 % [] ....... R1 [U8284:L0, U74:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 350245 % resolvents: 350161 factors: 84 % Number of unit clauses generated: 270811 % % unit clauses generated to total clauses generated: 77.32 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 10 [1] = 64 [2] = 8167 [3] = 44 % Total = 8285 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 270811 [2] = 79339 [3] = 95 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] defined_1 (+)7845 (-)0 % [1] less_or_equal_2 (+)3 (-)3 % [2] product_3 (+)154 (-)0 % [3] sum_3 (+)279 (-)1 % ------------------ % Total: (+)8281 (-)4 % Total number of unit clauses retained: 8285 % Number of clauses skipped because of their length: 2230 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 350251 % Number of unification failures: 46800 % Number of unit to unit unification failures: 286 % N literal unification failure due to lookup root_id table: 2433 % N base clause resolution failure due to lookup table: 1125 % 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: 231562 % N unit clauses dropped because too much nesting: 107664 % 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: 5437 % Total number of terms of all unit clauses in table: 54375 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.07 % Ratio n states used/total unit clauses terms: 0.10 % Number of symbols (columns) in UCFA: 47 % Profile 2: Number of calls to: % ============================== % PTUnify() = 397051 % ConstructUnitClause() = 239837 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.26 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.80 secs % %------------------------------------------------------------------------------