%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : FLD020-3 : TPTP v5.0.0. Bugfixed v2.1.0. % 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 18:22:54 EST 2010 % Result : Unsatisfiable 0.43s % Output : Refutation 0.43s % 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/SystemOnTPTP18182/FLD/FLD020-3+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 = 1 secs [nr = 150] [nf = 0] [nu = 94] [ut = 59] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 158262] [nf = 76] [nu = 120649] [ut = 4022] % 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(m_0(),a_0(),a_0()) % B1: ~sum_3(additive_identity_0(),m_0(),additive_identity_0()) % B4: defined_1(a_0()) % B8: ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2) % B12: ~defined_1(x0) | sum_3(additive_inverse_1(x0),x0,additive_identity_0()) % B24: ~sum_3(x4,x5,x2) | ~sum_3(x3,x5,x1) | ~sum_3(x0,x3,x4) | sum_3(x0,x1,x2) % Unit Clauses: % -------------- % U8: < d1 v0 dv0 f0 c3 t3 td1 > ~sum_3(m_0(),additive_identity_0(),additive_identity_0()) % U20: < d1 v0 dv0 f1 c3 t4 td2 > sum_3(additive_inverse_1(a_0()),a_0(),additive_identity_0()) % U32: < d1 v0 dv0 f1 c3 t4 td2 > sum_3(a_0(),additive_inverse_1(a_0()),additive_identity_0()) % U4058: < d3 v0 dv0 f0 c3 t3 td1 > sum_3(m_0(),additive_identity_0(),additive_identity_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U8: % ~sum_3(additive_identity_0(),m_0(),additive_identity_0()) ....... B1 % ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2) ....... B8 % ~sum_3(m_0(), additive_identity_0(), additive_identity_0()) ....... R1 [B1:L0, B8:L1] % Derivation of unit clause U20: % defined_1(a_0()) ....... B4 % ~defined_1(x0) | sum_3(additive_inverse_1(x0),x0,additive_identity_0()) ....... B12 % sum_3(additive_inverse_1(a_0()), a_0(), additive_identity_0()) ....... R1 [B4:L0, B12:L0] % Derivation of unit clause U32: % ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2) ....... B8 % sum_3(additive_inverse_1(a_0()),a_0(),additive_identity_0()) ....... U20 % sum_3(a_0(), additive_inverse_1(a_0()), additive_identity_0()) ....... R1 [B8:L0, U20:L0] % Derivation of unit clause U4058: % sum_3(m_0(),a_0(),a_0()) ....... B0 % ~sum_3(x4,x5,x2) | ~sum_3(x3,x5,x1) | ~sum_3(x0,x3,x4) | sum_3(x0,x1,x2) ....... B24 % ~sum_3(a_0(), x0, x1) | ~sum_3(a_0(), x0, x2) | sum_3(m_0(), x2, x1) ....... R1 [B0:L0, B24:L2] % ~sum_3(a_0(), x0, x1) | sum_3(m_0(), x1, x1) ....... R2 [R1:L1, R1:L0] % sum_3(a_0(),additive_inverse_1(a_0()),additive_identity_0()) ....... U32 % sum_3(m_0(), additive_identity_0(), additive_identity_0()) ....... R3 [R2:L0, U32:L0] % Derivation of the empty clause: % sum_3(m_0(),additive_identity_0(),additive_identity_0()) ....... U4058 % ~sum_3(m_0(),additive_identity_0(),additive_identity_0()) ....... U8 % [] ....... R1 [U4058:L0, U8:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 159066 % resolvents: 158977 factors: 89 % Number of unit clauses generated: 120789 % % unit clauses generated to total clauses generated: 75.94 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 7 [1] = 52 [2] = 3963 [3] = 37 % Total = 4059 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 120789 [2] = 38196 [3] = 81 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] defined_1 (+)3732 (-)0 % [1] less_or_equal_2 (+)0 (-)0 % [2] product_3 (+)114 (-)0 % [3] sum_3 (+)210 (-)3 % ------------------ % Total: (+)4056 (-)3 % Total number of unit clauses retained: 4059 % Number of clauses skipped because of their length: 2108 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 159072 % Number of unification failures: 36649 % Number of unit to unit unification failures: 629 % N literal unification failure due to lookup root_id table: 2361 % N base clause resolution failure due to lookup table: 991 % 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: 102060 % N unit clauses dropped because too much nesting: 46557 % 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: 3471 % Total number of terms of all unit clauses in table: 26142 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.04 % Ratio n states used/total unit clauses terms: 0.13 % Number of symbols (columns) in UCFA: 46 % Profile 2: Number of calls to: % ============================== % PTUnify() = 195721 % ConstructUnitClause() = 106112 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.09 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.44 secs % %------------------------------------------------------------------------------