%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : PUZ029-1 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art06.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 03:59:17 EST 2010 % Result : Unsatisfiable 31.01s % Output : Refutation 31.01s % 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/SystemOnTPTP19889/PUZ/PUZ029-1+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 = 12] [nf = 0] [nu = 3] [ut = 5] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 55] [nf = 0] [nu = 15] [ut = 10] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 142] [nf = 0] [nu = 36] [ut = 11] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 360] [nf = 0] [nu = 102] [ut = 13] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 834] [nf = 0] [nu = 240] [ut = 13] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 1985] [nf = 10] [nu = 596] [ut = 13] % Looking for a proof at depth = 7 ... % t = 0 secs [nr = 4644] [nf = 20] [nu = 1420] [ut = 13] % Looking for a proof at depth = 8 ... % t = 1 secs [nr = 10816] [nf = 128] [nu = 3351] [ut = 13] % Looking for a proof at depth = 9 ... % t = 1 secs [nr = 25108] [nf = 236] [nu = 7881] [ut = 13] % Looking for a proof at depth = 10 ... % t = 1 secs [nr = 57445] [nf = 986] [nu = 18143] [ut = 13] % Looking for a proof at depth = 11 ... % t = 1 secs [nr = 131260] [nf = 1736] [nu = 41863] [ut = 13] % Looking for a proof at depth = 12 ... % t = 1 secs [nr = 295226] [nf = 6072] [nu = 94436] [ut = 13] % Looking for a proof at depth = 13 ... % t = 2 secs [nr = 664354] [nf = 10408] [nu = 214245] [ut = 13] % Looking for a proof at depth = 14 ... % t = 3 secs [nr = 1471476] [nf = 33178] [nu = 475269] [ut = 13] % Looking for a proof at depth = 15 ... % t = 6 secs [nr = 3264181] [nf = 55948] [nu = 1061900] [ut = 13] % Looking for a proof at depth = 16 ... % t = 13 secs [nr = 7129943] [nf = 168832] [nu = 2321049] [ut = 13] % Looking for a proof at depth = 17 ... % t = 29 secs [nr = 15614011] [nf = 281716] [nu = 5115607] [ut = 13] % Looking for a proof at depth = 18 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 32 secs [nr = 17363835] [nf = 341745] [nu = 5705224] [ut = 13] % Looking for a proof at depth = 2 ... % t = 32 secs [nr = 17363879] [nf = 341745] [nu = 5705236] [ut = 13] % Looking for a proof at depth = 3 ... % t = 32 secs [nr = 17363976] [nf = 341745] [nu = 5705257] [ut = 13] % Looking for a proof at depth = 4 ... % t = 32 secs [nr = 17364350] [nf = 341747] [nu = 5705371] [ut = 13] % Looking for a proof at depth = 5 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: balloonist_1(piggy_0()) % B1: pig_1(piggy_0()) % B2: wise_1(piggy_0()) % B5: ~old_1(x0) | ~young_1(x0) % B6: ~balloonist_1(x0) | ~wise_1(x0) | has_umbrella_1(x0) % B7: ~balloonist_1(x0) | ~young_1(x0) | liable_to_giddiness_1(x0) % B8: dances_on_tightropes_1(x0) | eats_pennybuns_1(x0) | old_1(x0) % B9: ~dances_on_tightropes_1(x0) | ~liable_to_giddiness_1(x0) | ~wise_1(x0) % B11: ~has_umbrella_1(x0) | ~pig_1(x0) | looks_ridiculous_1(x0) % B12: ~liable_to_giddiness_1(x0) | ~pig_1(x0) | treated_with_respect_1(x0) % B14: ~fat_1(x0) | ~looks_ridiculous_1(x0) | dances_on_tightropes_1(x0) | eats_lunch_in_public_1(x0) % Unit Clauses: % -------------- % U2: < d0 v0 dv0 f0 c1 t1 td1 b > wise_1(piggy_0()) % U3: < d0 v0 dv0 f0 c1 t1 td1 b > young_1(piggy_0()) % U5: < d2 v0 dv0 f0 c1 t1 td1 > has_umbrella_1(piggy_0()) % U6: < d2 v0 dv0 f0 c1 t1 td1 > liable_to_giddiness_1(piggy_0()) % U7: < d2 v0 dv0 f0 c1 t1 td1 > looks_ridiculous_1(piggy_0()) % U9: < d2 v0 dv0 f0 c1 t1 td1 > ~dances_on_tightropes_1(piggy_0()) % U10: < d3 v0 dv0 f0 c1 t1 td1 > eats_pennybuns_1(piggy_0()) % U11: < d4 v0 dv0 f0 c1 t1 td1 > ~eats_lunch_in_public_1(piggy_0()) % U12: < d4 v0 dv0 f0 c1 t1 td1 > fat_1(piggy_0()) % U13: < d5 v0 dv0 f0 c1 t1 td1 > eats_lunch_in_public_1(piggy_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % wise_1(piggy_0()) ....... U2 % Derivation of unit clause U3: % young_1(piggy_0()) ....... U3 % Derivation of unit clause U5: % balloonist_1(piggy_0()) ....... B0 % ~balloonist_1(x0) | ~wise_1(x0) | has_umbrella_1(x0) ....... B6 % ~wise_1(piggy_0()) | has_umbrella_1(piggy_0()) ....... R1 [B0:L0, B6:L0] % wise_1(piggy_0()) ....... U2 % has_umbrella_1(piggy_0()) ....... R2 [R1:L0, U2:L0] % Derivation of unit clause U6: % balloonist_1(piggy_0()) ....... B0 % ~balloonist_1(x0) | ~young_1(x0) | liable_to_giddiness_1(x0) ....... B7 % ~young_1(piggy_0()) | liable_to_giddiness_1(piggy_0()) ....... R1 [B0:L0, B7:L0] % young_1(piggy_0()) ....... U3 % liable_to_giddiness_1(piggy_0()) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U7: % pig_1(piggy_0()) ....... B1 % ~has_umbrella_1(x0) | ~pig_1(x0) | looks_ridiculous_1(x0) ....... B11 % ~has_umbrella_1(piggy_0()) | looks_ridiculous_1(piggy_0()) ....... R1 [B1:L0, B11:L1] % has_umbrella_1(piggy_0()) ....... U5 % looks_ridiculous_1(piggy_0()) ....... R2 [R1:L0, U5:L0] % Derivation of unit clause U9: % wise_1(piggy_0()) ....... B2 % ~dances_on_tightropes_1(x0) | ~liable_to_giddiness_1(x0) | ~wise_1(x0) ....... B9 % ~dances_on_tightropes_1(piggy_0()) | ~liable_to_giddiness_1(piggy_0()) ....... R1 [B2:L0, B9:L2] % liable_to_giddiness_1(piggy_0()) ....... U6 % ~dances_on_tightropes_1(piggy_0()) ....... R2 [R1:L1, U6:L0] % Derivation of unit clause U10: % ~old_1(x0) | ~young_1(x0) ....... B5 % dances_on_tightropes_1(x0) | eats_pennybuns_1(x0) | old_1(x0) ....... B8 % ~young_1(x0) | dances_on_tightropes_1(x0) | eats_pennybuns_1(x0) ....... R1 [B5:L0, B8:L2] % young_1(piggy_0()) ....... U3 % dances_on_tightropes_1(piggy_0()) | eats_pennybuns_1(piggy_0()) ....... R2 [R1:L0, U3:L0] % ~dances_on_tightropes_1(piggy_0()) ....... U9 % eats_pennybuns_1(piggy_0()) ....... R3 [R2:L0, U9:L0] % Derivation of unit clause U11: % pig_1(piggy_0()) ....... B1 % ~has_umbrella_1(x0) | ~pig_1(x0) | looks_ridiculous_1(x0) ....... B11 % ~has_umbrella_1(piggy_0()) | looks_ridiculous_1(piggy_0()) ....... R1 [B1:L0, B11:L1] % ~eats_lunch_in_public_1(x0) | ~eats_pennybuns_1(x0) | ~looks_ridiculous_1(x0) ....... B10 % ~has_umbrella_1(piggy_0()) | ~eats_lunch_in_public_1(piggy_0()) | ~eats_pennybuns_1(piggy_0()) ....... R2 [R1:L1, B10:L2] % has_umbrella_1(piggy_0()) ....... U5 % ~eats_lunch_in_public_1(piggy_0()) | ~eats_pennybuns_1(piggy_0()) ....... R3 [R2:L0, U5:L0] % eats_pennybuns_1(piggy_0()) ....... U10 % ~eats_lunch_in_public_1(piggy_0()) ....... R4 [R3:L1, U10:L0] % Derivation of unit clause U12: % pig_1(piggy_0()) ....... B1 % ~liable_to_giddiness_1(x0) | ~pig_1(x0) | treated_with_respect_1(x0) ....... B12 % ~liable_to_giddiness_1(piggy_0()) | treated_with_respect_1(piggy_0()) ....... R1 [B1:L0, B12:L1] % ~treated_with_respect_1(x0) | dances_on_tightropes_1(x0) | fat_1(x0) ....... B13 % ~liable_to_giddiness_1(piggy_0()) | dances_on_tightropes_1(piggy_0()) | fat_1(piggy_0()) ....... R2 [R1:L1, B13:L0] % liable_to_giddiness_1(piggy_0()) ....... U6 % dances_on_tightropes_1(piggy_0()) | fat_1(piggy_0()) ....... R3 [R2:L0, U6:L0] % ~dances_on_tightropes_1(piggy_0()) ....... U9 % fat_1(piggy_0()) ....... R4 [R3:L0, U9:L0] % Derivation of unit clause U13: % ~dances_on_tightropes_1(x0) | ~liable_to_giddiness_1(x0) | ~wise_1(x0) ....... B9 % ~fat_1(x0) | ~looks_ridiculous_1(x0) | dances_on_tightropes_1(x0) | eats_lunch_in_public_1(x0) ....... B14 % ~liable_to_giddiness_1(x0) | ~wise_1(x0) | ~fat_1(x0) | ~looks_ridiculous_1(x0) | eats_lunch_in_public_1(x0) ....... R1 [B9:L0, B14:L2] % liable_to_giddiness_1(piggy_0()) ....... U6 % ~wise_1(piggy_0()) | ~fat_1(piggy_0()) | ~looks_ridiculous_1(piggy_0()) | eats_lunch_in_public_1(piggy_0()) ....... R2 [R1:L0, U6:L0] % wise_1(piggy_0()) ....... U2 % ~fat_1(piggy_0()) | ~looks_ridiculous_1(piggy_0()) | eats_lunch_in_public_1(piggy_0()) ....... R3 [R2:L0, U2:L0] % fat_1(piggy_0()) ....... U12 % ~looks_ridiculous_1(piggy_0()) | eats_lunch_in_public_1(piggy_0()) ....... R4 [R3:L0, U12:L0] % looks_ridiculous_1(piggy_0()) ....... U7 % eats_lunch_in_public_1(piggy_0()) ....... R5 [R4:L0, U7:L0] % Derivation of the empty clause: % eats_lunch_in_public_1(piggy_0()) ....... U13 % ~eats_lunch_in_public_1(piggy_0()) ....... U11 % [] ....... R1 [U13:L0, U11:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 17707003 % resolvents: 17365252 factors: 341751 % Number of unit clauses generated: 5705618 % % unit clauses generated to total clauses generated: 32.22 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 4 [1] = 1 [2] = 5 [3] = 1 % [4] = 2 [5] = 1 % Total = 14 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 5705618 [2] = 8115293 [3] = 3885971 [4] = 105 [5] = 16 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] balloonist_1 (+)1 (-)0 % [1] dances_on_tightropes_1 (+)0 (-)1 % [2] eats_lunch_in_public_1 (+)1 (-)1 % [3] eats_pennybuns_1 (+)1 (-)0 % [4] fat_1 (+)1 (-)0 % [5] has_umbrella_1 (+)1 (-)0 % [6] liable_to_giddiness_1 (+)1 (-)0 % [7] looks_ridiculous_1 (+)1 (-)0 % [8] old_1 (+)0 (-)1 % [9] pig_1 (+)1 (-)0 % [10] treated_with_respect_1 (+)1 (-)0 % [11] wise_1 (+)1 (-)0 % [12] young_1 (+)1 (-)0 % ------------------ % Total: (+)11 (-)3 % Total number of unit clauses retained: 14 % Number of clauses skipped because of their length: 26807294 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 35 % Number of successful unifications: 17707027 % Number of unification failures: 0 % Number of unit to unit unification failures: 0 % N literal unification failure due to lookup root_id table: 36752420 % N base clause resolution failure due to lookup table: 48969531 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 18 % N unit clauses dropped because they exceeded max values: 3090944 % 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: 1 % Max term depth in a unit clause: 1 % Number of states in UCFA table: 17 % Total number of terms of all unit clauses in table: 14 % 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: 1.21 % Number of symbols (columns) in UCFA: 48 % Profile 2: Number of calls to: % ============================== % PTUnify() = 17707027 % ConstructUnitClause() = 3090954 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 2.86 secs % -------------------------------------------------------- % | | % Inferences per sec: 571194 % | | % -------------------------------------------------------- % Elapsed time: 32 secs % CPU time: 31.01 secs % %------------------------------------------------------------------------------