%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : PUZ026-1 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art02.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 03:57:28 EST 2010 % Result : Unsatisfiable 0.55s % Output : Refutation 0.55s % 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/SystemOnTPTP26925/PUZ/PUZ026-1+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 = 1 secs [nr = 31] [nf = 0] [nu = 0] [ut = 6] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 154] [nf = 16] [nu = 0] [ut = 6] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 664] [nf = 65] [nu = 2] [ut = 7] % Looking for a proof at depth = 4 ... % t = 1 secs [nr = 2726] [nf = 241] [nu = 16] [ut = 8] % Looking for a proof at depth = 5 ... % t = 1 secs [nr = 10594] [nf = 984] [nu = 38] [ut = 8] % Looking for a proof at depth = 6 ... % t = 1 secs [nr = 45955] [nf = 4382] [nu = 190] [ut = 9] % Looking for a proof at depth = 7 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~a_truth_1(truthteller_1(x2)) | ~a_truth_1(normal_1(x1)) | ~a_truth_1(liar_1(x0)) % B1: people_3(a_0(),b_0(),c_0()) % B4: a_truth_1(says_2(a_0(),normal_1(a_0()))) % B5: a_truth_1(says_2(b_0(),normal_1(a_0()))) % B6: a_truth_1(says_2(c_0(),not_normal_1(c_0()))) % B7: ~a_truth_1(liar_1(x0)) | ~a_truth_1(truthteller_1(x0)) % B14: ~a_truth_1(liar_1(x1)) | ~a_truth_1(liar_1(x0)) | ~people_3(x0,x1,x2) % B18: ~a_truth_1(x1) | ~a_truth_1(says_2(x0,x1)) | ~a_truth_1(liar_1(x0)) % B19: ~a_truth_1(says_2(x0,x1)) | ~a_truth_1(truthteller_1(x0)) | a_truth_1(x1) % B20: a_truth_1(truthteller_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) % B21: ~a_truth_1(says_2(x1,x0)) | ~a_truth_1(x0) | a_truth_1(truthteller_1(x1)) | a_truth_1(normal_1(x1)) % B22: ~a_truth_1(says_2(x1,x0)) | a_truth_1(x0) | a_truth_1(liar_1(x1)) | a_truth_1(normal_1(x1)) % Unit Clauses: % -------------- % U0: < d0 v0 dv0 f0 c3 t3 td1 b > people_3(a_0(),b_0(),c_0()) % U1: < d0 v0 dv0 f0 c3 t3 td1 b > people_3(b_0(),c_0(),a_0()) % U2: < d0 v0 dv0 f0 c3 t3 td1 b > people_3(c_0(),b_0(),a_0()) % U4: < d0 v0 dv0 f2 c2 t4 td3 b > a_truth_1(says_2(b_0(),normal_1(a_0()))) % U6: < d3 v0 dv0 f1 c1 t2 td2 > ~a_truth_1(truthteller_1(a_0())) % U8: < d6 v0 dv0 f1 c1 t2 td2 > ~a_truth_1(liar_1(b_0())) % U9: < d7 v0 dv0 f1 c1 t2 td2 > ~a_truth_1(normal_1(c_0())) % U13: < d7 v0 dv0 f1 c1 t2 td2 > a_truth_1(not_normal_1(c_0())) % U15: < d7 v0 dv0 f1 c1 t2 td2 > ~a_truth_1(truthteller_1(b_0())) % U30: < d7 v1 dv1 f1 c0 t2 td2 > ~a_truth_1(liar_1(x0)) % U36: < d7 v0 dv0 f1 c1 t2 td2 > a_truth_1(normal_1(a_0())) % U73: < d7 v1 dv1 f0 c2 t3 td1 > ~people_3(a_0(),b_0(),x0) % --------------- Start of Proof --------------- % Derivation of unit clause U0: % people_3(a_0(),b_0(),c_0()) ....... U0 % Derivation of unit clause U1: % people_3(b_0(),c_0(),a_0()) ....... U1 % Derivation of unit clause U2: % people_3(c_0(),b_0(),a_0()) ....... U2 % Derivation of unit clause U4: % a_truth_1(says_2(b_0(),normal_1(a_0()))) ....... U4 % Derivation of unit clause U6: % a_truth_1(says_2(a_0(),normal_1(a_0()))) ....... B4 % ~a_truth_1(says_2(x0,x1)) | ~a_truth_1(truthteller_1(x0)) | a_truth_1(x1) ....... B19 % ~a_truth_1(truthteller_1(a_0())) | a_truth_1(normal_1(a_0())) ....... R1 [B4:L0, B19:L0] % ~a_truth_1(normal_1(x0)) | ~a_truth_1(truthteller_1(x0)) ....... B8 % ~a_truth_1(truthteller_1(a_0())) | ~a_truth_1(truthteller_1(a_0())) ....... R2 [R1:L1, B8:L0] % ~a_truth_1(truthteller_1(a_0())) ....... R3 [R2:L0, R2:L1] % Derivation of unit clause U8: % people_3(a_0(),b_0(),c_0()) ....... B1 % ~a_truth_1(liar_1(x1)) | ~a_truth_1(liar_1(x0)) | ~people_3(x0,x1,x2) ....... B14 % ~a_truth_1(liar_1(b_0())) | ~a_truth_1(liar_1(a_0())) ....... R1 [B1:L0, B14:L2] % a_truth_1(truthteller_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... B20 % ~a_truth_1(liar_1(b_0())) | a_truth_1(truthteller_1(a_0())) | a_truth_1(normal_1(a_0())) ....... R2 [R1:L1, B20:L1] % ~a_truth_1(truthteller_1(a_0())) ....... U6 % ~a_truth_1(liar_1(b_0())) | a_truth_1(normal_1(a_0())) ....... R3 [R2:L1, U6:L0] % ~a_truth_1(x1) | ~a_truth_1(says_2(x0,x1)) | ~a_truth_1(liar_1(x0)) ....... B18 % ~a_truth_1(liar_1(b_0())) | ~a_truth_1(says_2(x0, normal_1(a_0()))) | ~a_truth_1(liar_1(x0)) ....... R4 [R3:L1, B18:L0] % ~a_truth_1(says_2(b_0(), normal_1(a_0()))) | ~a_truth_1(liar_1(b_0())) ....... R5 [R4:L0, R4:L2] % a_truth_1(says_2(b_0(),normal_1(a_0()))) ....... U4 % ~a_truth_1(liar_1(b_0())) ....... R6 [R5:L0, U4:L0] % Derivation of unit clause U9: % a_truth_1(says_2(b_0(),normal_1(a_0()))) ....... B5 % ~a_truth_1(says_2(x1,x0)) | a_truth_1(x0) | a_truth_1(liar_1(x1)) | a_truth_1(normal_1(x1)) ....... B22 % a_truth_1(normal_1(a_0())) | a_truth_1(liar_1(b_0())) | a_truth_1(normal_1(b_0())) ....... R1 [B5:L0, B22:L0] % ~a_truth_1(liar_1(b_0())) ....... U8 % a_truth_1(normal_1(a_0())) | a_truth_1(normal_1(b_0())) ....... R2 [R1:L1, U8:L0] % ~a_truth_1(normal_1(x1)) | ~a_truth_1(normal_1(x0)) | ~people_3(x0,x1,x2) ....... B16 % a_truth_1(normal_1(a_0())) | ~a_truth_1(normal_1(x0)) | ~people_3(x0, b_0(), x1) ....... R3 [R2:L1, B16:L0] % people_3(c_0(),b_0(),a_0()) ....... U2 % a_truth_1(normal_1(a_0())) | ~a_truth_1(normal_1(c_0())) ....... R4 [R3:L2, U2:L0] % ~a_truth_1(normal_1(x2)) | ~a_truth_1(normal_1(x0)) | ~people_3(x0,x1,x2) ....... B17 % ~a_truth_1(normal_1(c_0())) | ~a_truth_1(normal_1(x0)) | ~people_3(x0, x1, a_0()) ....... R5 [R4:L0, B17:L0] % ~a_truth_1(normal_1(c_0())) | ~people_3(c_0(), x0, a_0()) ....... R6 [R5:L0, R5:L1] % people_3(c_0(),b_0(),a_0()) ....... U2 % ~a_truth_1(normal_1(c_0())) ....... R7 [R6:L1, U2:L0] % Derivation of unit clause U13: % a_truth_1(says_2(c_0(),not_normal_1(c_0()))) ....... B6 % ~a_truth_1(x1) | ~a_truth_1(says_2(x0,x1)) | ~a_truth_1(liar_1(x0)) ....... B18 % ~a_truth_1(not_normal_1(c_0())) | ~a_truth_1(liar_1(c_0())) ....... R1 [B6:L0, B18:L1] % a_truth_1(not_normal_1(x0)) | a_truth_1(normal_1(x0)) ....... B11 % ~a_truth_1(liar_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R2 [R1:L0, B11:L0] % a_truth_1(truthteller_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... B20 % a_truth_1(normal_1(c_0())) | a_truth_1(truthteller_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R3 [R2:L0, B20:L1] % a_truth_1(truthteller_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R4 [R3:L0, R3:L2] % ~a_truth_1(normal_1(x0)) | ~a_truth_1(truthteller_1(x0)) ....... B8 % a_truth_1(normal_1(c_0())) | ~a_truth_1(normal_1(c_0())) ....... R5 [R4:L0, B8:L1] % a_truth_1(not_normal_1(x0)) | a_truth_1(normal_1(x0)) ....... B11 % a_truth_1(normal_1(c_0())) | a_truth_1(not_normal_1(c_0())) ....... R6 [R5:L1, B11:L1] % ~a_truth_1(normal_1(c_0())) ....... U9 % a_truth_1(not_normal_1(c_0())) ....... R7 [R6:L0, U9:L0] % Derivation of unit clause U15: % a_truth_1(says_2(c_0(),not_normal_1(c_0()))) ....... B6 % ~a_truth_1(x1) | ~a_truth_1(says_2(x0,x1)) | ~a_truth_1(liar_1(x0)) ....... B18 % ~a_truth_1(not_normal_1(c_0())) | ~a_truth_1(liar_1(c_0())) ....... R1 [B6:L0, B18:L1] % a_truth_1(not_normal_1(x0)) | a_truth_1(normal_1(x0)) ....... B11 % ~a_truth_1(liar_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R2 [R1:L0, B11:L0] % a_truth_1(truthteller_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... B20 % a_truth_1(normal_1(c_0())) | a_truth_1(truthteller_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R3 [R2:L0, B20:L1] % a_truth_1(truthteller_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R4 [R3:L0, R3:L2] % ~a_truth_1(truthteller_1(x1)) | ~a_truth_1(truthteller_1(x0)) | ~people_3(x0,x1,x2) ....... B12 % a_truth_1(normal_1(c_0())) | ~a_truth_1(truthteller_1(x0)) | ~people_3(x0, c_0(), x1) ....... R5 [R4:L0, B12:L0] % ~a_truth_1(normal_1(c_0())) ....... U9 % ~a_truth_1(truthteller_1(x0)) | ~people_3(x0, c_0(), x1) ....... R6 [R5:L0, U9:L0] % people_3(b_0(),c_0(),a_0()) ....... U1 % ~a_truth_1(truthteller_1(b_0())) ....... R7 [R6:L1, U1:L0] % Derivation of unit clause U30: % a_truth_1(says_2(c_0(),not_normal_1(c_0()))) ....... B6 % ~a_truth_1(says_2(x1,x0)) | ~a_truth_1(x0) | a_truth_1(truthteller_1(x1)) | a_truth_1(normal_1(x1)) ....... B21 % ~a_truth_1(not_normal_1(c_0())) | a_truth_1(truthteller_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R1 [B6:L0, B21:L0] % a_truth_1(not_normal_1(c_0())) ....... U13 % a_truth_1(truthteller_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R2 [R1:L0, U13:L0] % ~a_truth_1(truthteller_1(x2)) | ~a_truth_1(normal_1(x1)) | ~a_truth_1(liar_1(x0)) ....... B0 % a_truth_1(normal_1(c_0())) | ~a_truth_1(normal_1(x0)) | ~a_truth_1(liar_1(x1)) ....... R3 [R2:L0, B0:L0] % ~a_truth_1(normal_1(c_0())) ....... U9 % ~a_truth_1(normal_1(x0)) | ~a_truth_1(liar_1(x1)) ....... R4 [R3:L0, U9:L0] % a_truth_1(truthteller_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... B20 % ~a_truth_1(liar_1(x0)) | a_truth_1(truthteller_1(x1)) | a_truth_1(liar_1(x1)) ....... R5 [R4:L0, B20:L2] % ~a_truth_1(truthteller_1(b_0())) ....... U15 % ~a_truth_1(liar_1(x0)) | a_truth_1(liar_1(b_0())) ....... R6 [R5:L1, U15:L0] % ~a_truth_1(liar_1(b_0())) ....... U8 % ~a_truth_1(liar_1(x0)) ....... R7 [R6:L1, U8:L0] % Derivation of unit clause U36: % a_truth_1(says_2(c_0(),not_normal_1(c_0()))) ....... B6 % ~a_truth_1(says_2(x1,x0)) | ~a_truth_1(x0) | a_truth_1(truthteller_1(x1)) | a_truth_1(normal_1(x1)) ....... B21 % ~a_truth_1(not_normal_1(c_0())) | a_truth_1(truthteller_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R1 [B6:L0, B21:L0] % a_truth_1(not_normal_1(c_0())) ....... U13 % a_truth_1(truthteller_1(c_0())) | a_truth_1(normal_1(c_0())) ....... R2 [R1:L0, U13:L0] % ~a_truth_1(truthteller_1(x2)) | ~a_truth_1(truthteller_1(x0)) | ~people_3(x0,x1,x2) ....... B13 % a_truth_1(normal_1(c_0())) | ~a_truth_1(truthteller_1(x0)) | ~people_3(x0, x1, c_0()) ....... R3 [R2:L0, B13:L0] % ~a_truth_1(normal_1(c_0())) ....... U9 % ~a_truth_1(truthteller_1(x0)) | ~people_3(x0, x1, c_0()) ....... R4 [R3:L0, U9:L0] % a_truth_1(truthteller_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... B20 % ~people_3(x0, x1, c_0()) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... R5 [R4:L0, B20:L0] % people_3(a_0(),b_0(),c_0()) ....... U0 % a_truth_1(liar_1(a_0())) | a_truth_1(normal_1(a_0())) ....... R6 [R5:L0, U0:L0] % ~a_truth_1(liar_1(x0)) ....... U30 % a_truth_1(normal_1(a_0())) ....... R7 [R6:L0, U30:L0] % Derivation of unit clause U73: % ~a_truth_1(liar_1(x0)) | ~a_truth_1(truthteller_1(x0)) ....... B7 % a_truth_1(truthteller_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... B20 % ~a_truth_1(liar_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... R1 [B7:L1, B20:L0] % ~a_truth_1(liar_1(b_0())) ....... U8 % ~a_truth_1(liar_1(b_0())) | a_truth_1(normal_1(b_0())) ....... R2 [R1:L1, U8:L0] % a_truth_1(truthteller_1(x0)) | a_truth_1(liar_1(x0)) | a_truth_1(normal_1(x0)) ....... B20 % a_truth_1(normal_1(b_0())) | a_truth_1(truthteller_1(b_0())) | a_truth_1(normal_1(b_0())) ....... R3 [R2:L0, B20:L1] % a_truth_1(truthteller_1(b_0())) | a_truth_1(normal_1(b_0())) ....... R4 [R3:L0, R3:L2] % ~a_truth_1(normal_1(x1)) | ~a_truth_1(normal_1(x0)) | ~people_3(x0,x1,x2) ....... B16 % a_truth_1(truthteller_1(b_0())) | ~a_truth_1(normal_1(x0)) | ~people_3(x0, b_0(), x1) ....... R5 [R4:L1, B16:L0] % ~a_truth_1(truthteller_1(b_0())) ....... U15 % ~a_truth_1(normal_1(x0)) | ~people_3(x0, b_0(), x1) ....... R6 [R5:L0, U15:L0] % a_truth_1(normal_1(a_0())) ....... U36 % ~people_3(a_0(), b_0(), x0) ....... R7 [R6:L0, U36:L0] % Derivation of the empty clause: % ~people_3(a_0(),b_0(),x0) ....... U73 % people_3(a_0(),b_0(),c_0()) ....... U0 % [] ....... R1 [U73:L0, U0:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 200751 % resolvents: 187308 factors: 13443 % Number of unit clauses generated: 19248 % % unit clauses generated to total clauses generated: 9.59 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 6 [3] = 1 % [4] = 1 [6] = 1 [7] = 65 % Total = 74 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 19248 [2] = 98038 [3] = 83465 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] a_truth_1 (+)7 (-)56 % [1] people_3 (+)3 (-)8 % ------------------ % Total: (+)10 (-)64 % Total number of unit clauses retained: 74 % Number of clauses skipped because of their length: 377144 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 36658 % Number of successful unifications: 200802 % Number of unification failures: 224105 % Number of unit to unit unification failures: 413 % N literal unification failure due to lookup root_id table: 1663341 % N base clause resolution failure due to lookup table: 451464 % 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: 15627 % 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: 8 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 78 % Total number of terms of all unit clauses in table: 365 % 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: 0.21 % Number of symbols (columns) in UCFA: 44 % Profile 2: Number of calls to: % ============================== % PTUnify() = 424907 % ConstructUnitClause() = 15695 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.02 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.55 secs % %------------------------------------------------------------------------------