%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : PUZ024-1 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art09.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 03:55:35 EST 2010 % Result : Unsatisfiable 31.00s % Output : Refutation 31.00s % 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/SystemOnTPTP23096/PUZ/PUZ024-1+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 = 24] [nf = 0] [nu = 3] [ut = 7] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 180] [nf = 6] [nu = 45] [ut = 21] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 915] [nf = 54] [nu = 272] [ut = 29] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 4580] [nf = 424] [nu = 1216] [ut = 29] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 21948] [nf = 2515] [nu = 4517] [ut = 29] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 99129] [nf = 11991] [nu = 16533] [ut = 29] % Looking for a proof at depth = 7 ... % t = 1 secs [nr = 415136] [nf = 54096] [nu = 59793] [ut = 29] % Looking for a proof at depth = 8 ... % t = 4 secs [nr = 1648870] [nf = 226108] [nu = 211576] [ut = 29] % Looking for a proof at depth = 9 ... % t = 17 secs [nr = 6336252] [nf = 913559] [nu = 722149] [ut = 29] % Looking for a proof at depth = 10 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 31 secs [nr = 11983705] [nf = 1727767] [nu = 1384024] [ut = 29] % Looking for a proof at depth = 2 ... % t = 31 secs [nr = 11983887] [nf = 1727773] [nu = 1384076] [ut = 29] % Looking for a proof at depth = 3 ... % t = 31 secs [nr = 11984682] [nf = 1727871] [nu = 1384303] [ut = 29] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~a_truth_1(truthteller_1(x0)) % B10: ~a_truth_1(says_2(x1,x0)) | ~a_truth_1(x0) | a_truth_1(truthteller_1(x1)) % B18: ~people_3(x0,x1,x2) | a_truth_1(all_are_liars_0()) | a_truth_1(truthteller_1(x0)) | a_truth_1(truthteller_1(x1)) | a_truth_1(truthteller_1(x2)) % Unit Clauses: % -------------- % U0: < d0 v1 dv1 f1 c0 t2 td2 b nc > ~a_truth_1(truthteller_1(x0)) % U2: < d0 v0 dv0 f1 c2 t3 td2 b > a_truth_1(says_2(a_0(),all_are_liars_0())) % U3: < d0 v0 dv0 f0 c3 t3 td1 b > people_3(b_0(),c_0(),a_0()) % U8: < d2 v0 dv0 f0 c1 t1 td1 > ~a_truth_1(all_are_liars_0()) % U34: < d4 v0 dv0 f1 c1 t2 td2 > a_truth_1(truthteller_1(a_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U0: % ~a_truth_1(truthteller_1(x0)) ....... U0 % Derivation of unit clause U2: % a_truth_1(says_2(a_0(),all_are_liars_0())) ....... U2 % Derivation of unit clause U3: % people_3(b_0(),c_0(),a_0()) ....... U3 % Derivation of unit clause U8: % ~a_truth_1(truthteller_1(x0)) ....... B0 % ~a_truth_1(says_2(x1,x0)) | ~a_truth_1(x0) | a_truth_1(truthteller_1(x1)) ....... B10 % ~a_truth_1(says_2(x0, x1)) | ~a_truth_1(x1) ....... R1 [B0:L0, B10:L2] % a_truth_1(says_2(a_0(),all_are_liars_0())) ....... U2 % ~a_truth_1(all_are_liars_0()) ....... R2 [R1:L0, U2:L0] % Derivation of unit clause U34: % ~a_truth_1(truthteller_1(x0)) ....... B0 % ~people_3(x0,x1,x2) | a_truth_1(all_are_liars_0()) | a_truth_1(truthteller_1(x0)) | a_truth_1(truthteller_1(x1)) | a_truth_1(truthteller_1(x2)) ....... B18 % ~people_3(x0, x1, x2) | a_truth_1(all_are_liars_0()) | a_truth_1(truthteller_1(x1)) | a_truth_1(truthteller_1(x2)) ....... R1 [B0:L0, B18:L2] % people_3(b_0(),c_0(),a_0()) ....... U3 % a_truth_1(all_are_liars_0()) | a_truth_1(truthteller_1(c_0())) | a_truth_1(truthteller_1(a_0())) ....... R2 [R1:L0, U3:L0] % ~a_truth_1(all_are_liars_0()) ....... U8 % a_truth_1(truthteller_1(c_0())) | a_truth_1(truthteller_1(a_0())) ....... R3 [R2:L0, U8:L0] % ~a_truth_1(truthteller_1(x0)) ....... U0 % a_truth_1(truthteller_1(a_0())) ....... R4 [R3:L0, U0:L0] % Derivation of the empty clause: % a_truth_1(truthteller_1(a_0())) ....... U34 % ~a_truth_1(truthteller_1(x0)) ....... U0 % [] ....... R1 [U34:L0, U0:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 13713344 % resolvents: 11985437 factors: 1727907 % Number of unit clauses generated: 1384524 % % unit clauses generated to total clauses generated: 10.10 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 6 [1] = 1 [2] = 14 [3] = 8 % [4] = 6 % Total = 35 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 1384524 [2] = 6100535 [3] = 6228155 [4] = 130 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] a_truth_1 (+)6 (-)22 % [1] people_3 (+)3 (-)4 % ------------------ % Total: (+)9 (-)26 % Total number of unit clauses retained: 35 % Number of clauses skipped because of their length: 17835184 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 13713350 % Number of unification failures: 26797111 % Number of unit to unit unification failures: 122 % N literal unification failure due to lookup root_id table: 113491460 % N base clause resolution failure due to lookup table: 7022794 % N UC-BCL resolution dropped due to lookup table: 1764233 % Max entries in substitution set: 14 % N unit clauses dropped because they exceeded max values: 978291 % 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: 5 % Max term depth in a unit clause: 3 % Number of states in UCFA table: 40 % Total number of terms of all unit clauses in table: 115 % 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: 0.35 % Number of symbols (columns) in UCFA: 44 % Profile 2: Number of calls to: % ============================== % PTUnify() = 40510461 % ConstructUnitClause() = 978320 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 1.10 secs % -------------------------------------------------------- % | | % Inferences per sec: 442366 % | | % -------------------------------------------------------- % Elapsed time: 31 secs % CPU time: 31.00 secs % %------------------------------------------------------------------------------