%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : LCL202-1 : TPTP v5.0.0. Released v1.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art03.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 00:22:05 EST 2010 % Result : Unsatisfiable 0.70s % Output : Refutation 0.70s % 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/SystemOnTPTP27645/LCL/LCL202-1+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 = 18] [nf = 0] [nu = 10] [ut = 12] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 3799] [nf = 1] [nu = 2132] [ut = 1347] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 12778] [nf = 4] [nu = 9265] [ut = 1893] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~theorem_1(or_2(not_1(not_1(or_2(p_0(),q_0()))),or_2(p_0(),not_1(q_0())))) % B3: axiom_1(or_2(not_1(x0),or_2(x1,x0))) % B4: axiom_1(or_2(not_1(or_2(x0,x1)),or_2(x1,x0))) % B5: axiom_1(or_2(not_1(or_2(x0,x0)),x0)) % B6: ~axiom_1(x0) | theorem_1(x0) % B7: ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) % B8: ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) % Unit Clauses: % -------------- % U1: < d0 v6 dv3 f6 c0 t12 td5 b > axiom_1(or_2(not_1(or_2(x0,or_2(x1,x2))),or_2(x1,or_2(x0,x2)))) % U3: < d0 v3 dv2 f3 c0 t6 td3 b > axiom_1(or_2(not_1(x0),or_2(x1,x0))) % U9: < d1 v3 dv1 f3 c0 t6 td4 > theorem_1(or_2(not_1(or_2(x0,x0)),x0)) % U16: < d2 v0 dv0 f6 c4 t10 td6 > ~theorem_1(or_2(p_0(),or_2(not_1(not_1(or_2(p_0(),q_0()))),not_1(q_0())))) % U27: < d2 v2 dv1 f2 c0 t4 td3 > theorem_1(or_2(not_1(x0),x0)) % U192: < d2 v0 dv0 f5 c3 t8 td5 > ~theorem_1(or_2(not_1(not_1(or_2(p_0(),q_0()))),not_1(q_0()))) % U355: < d2 v2 dv1 f2 c0 t4 td3 > theorem_1(or_2(x0,not_1(x0))) % U662: < d2 v0 dv0 f5 c3 t8 td5 > ~theorem_1(or_2(not_1(q_0()),not_1(not_1(or_2(p_0(),q_0()))))) % U975: < d2 v3 dv1 f5 c0 t8 td4 > theorem_1(or_2(not_1(or_2(x0,x0)),not_1(not_1(x0)))) % U1197: < d2 v5 dv1 f7 c0 t12 td5 > theorem_1(or_2(not_1(or_2(or_2(x0,x0),or_2(x0,x0))),not_1(not_1(x0)))) % U9577: < d4 v6 dv2 f8 c0 t14 td6 > theorem_1(or_2(not_1(or_2(x0,or_2(or_2(x0,x1),x1))),not_1(not_1(or_2(x0,x1))))) % U10553: < d4 v3 dv2 f5 c0 t8 td5 > theorem_1(or_2(not_1(x0),not_1(not_1(or_2(x1,x0))))) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % axiom_1(or_2(not_1(or_2(x0,or_2(x1,x2))),or_2(x1,or_2(x0,x2)))) ....... U1 % Derivation of unit clause U3: % axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... U3 % Derivation of unit clause U9: % axiom_1(or_2(not_1(or_2(x0,x0)),x0)) ....... B5 % ~axiom_1(x0) | theorem_1(x0) ....... B6 % theorem_1(or_2(not_1(or_2(x0, x0)), x0)) ....... R1 [B5:L0, B6:L0] % Derivation of unit clause U16: % ~theorem_1(or_2(not_1(not_1(or_2(p_0(),q_0()))),or_2(p_0(),not_1(q_0())))) ....... B0 % ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) ....... B8 % ~axiom_1(or_2(not_1(x0), or_2(not_1(not_1(or_2(p_0(), q_0()))), or_2(p_0(), not_1(q_0()))))) | ~theorem_1(x0) ....... R1 [B0:L0, B8:L2] % axiom_1(or_2(not_1(or_2(x0,or_2(x1,x2))),or_2(x1,or_2(x0,x2)))) ....... U1 % ~theorem_1(or_2(p_0(), or_2(not_1(not_1(or_2(p_0(), q_0()))), not_1(q_0())))) ....... R2 [R1:L0, U1:L0] % Derivation of unit clause U27: % axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... B3 % ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7 % ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | theorem_1(or_2(not_1(x1), x2)) ....... R1 [B3:L0, B7:L0] % theorem_1(or_2(not_1(or_2(x0,x0)),x0)) ....... U9 % theorem_1(or_2(not_1(x0), x0)) ....... R2 [R1:L0, U9:L0] % Derivation of unit clause U192: % axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... B3 % ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) ....... B8 % ~theorem_1(x0) | theorem_1(or_2(x1, x0)) ....... R1 [B3:L0, B8:L0] % ~theorem_1(or_2(p_0(),or_2(not_1(not_1(or_2(p_0(),q_0()))),not_1(q_0())))) ....... U16 % ~theorem_1(or_2(not_1(not_1(or_2(p_0(), q_0()))), not_1(q_0()))) ....... R2 [R1:L1, U16:L0] % Derivation of unit clause U355: % axiom_1(or_2(not_1(or_2(x0,x1)),or_2(x1,x0))) ....... B4 % ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) ....... B8 % ~theorem_1(or_2(x0, x1)) | theorem_1(or_2(x1, x0)) ....... R1 [B4:L0, B8:L0] % theorem_1(or_2(not_1(x0),x0)) ....... U27 % theorem_1(or_2(x0, not_1(x0))) ....... R2 [R1:L0, U27:L0] % Derivation of unit clause U662: % axiom_1(or_2(not_1(or_2(x0,x1)),or_2(x1,x0))) ....... B4 % ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) ....... B8 % ~theorem_1(or_2(x0, x1)) | theorem_1(or_2(x1, x0)) ....... R1 [B4:L0, B8:L0] % ~theorem_1(or_2(not_1(not_1(or_2(p_0(),q_0()))),not_1(q_0()))) ....... U192 % ~theorem_1(or_2(not_1(q_0()), not_1(not_1(or_2(p_0(), q_0()))))) ....... R2 [R1:L1, U192:L0] % Derivation of unit clause U975: % axiom_1(or_2(not_1(or_2(x0,x0)),x0)) ....... B5 % ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7 % ~theorem_1(or_2(not_1(x0), x1)) | theorem_1(or_2(not_1(or_2(x0, x0)), x1)) ....... R1 [B5:L0, B7:L0] % theorem_1(or_2(x0,not_1(x0))) ....... U355 % theorem_1(or_2(not_1(or_2(x0, x0)), not_1(not_1(x0)))) ....... R2 [R1:L0, U355:L0] % Derivation of unit clause U1197: % axiom_1(or_2(not_1(or_2(x0,x0)),x0)) ....... B5 % ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7 % ~theorem_1(or_2(not_1(x0), x1)) | theorem_1(or_2(not_1(or_2(x0, x0)), x1)) ....... R1 [B5:L0, B7:L0] % theorem_1(or_2(not_1(or_2(x0,x0)),not_1(not_1(x0)))) ....... U975 % theorem_1(or_2(not_1(or_2(or_2(x0, x0), or_2(x0, x0))), not_1(not_1(x0)))) ....... R2 [R1:L0, U975:L0] % Derivation of unit clause U9577: % axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... B3 % ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7 % ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | theorem_1(or_2(not_1(x1), x2)) ....... R1 [B3:L0, B7:L0] % ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7 % ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | ~axiom_1(or_2(not_1(x3), x1)) | theorem_1(or_2(not_1(x3), x2)) ....... R2 [R1:L1, B7:L1] % theorem_1(or_2(not_1(or_2(or_2(x0,x0),or_2(x0,x0))),not_1(not_1(x0)))) ....... U1197 % ~axiom_1(or_2(not_1(x0), or_2(x1, x1))) | theorem_1(or_2(not_1(x0), not_1(not_1(x1)))) ....... R3 [R2:L0, U1197:L0] % axiom_1(or_2(not_1(or_2(x0,or_2(x1,x2))),or_2(x1,or_2(x0,x2)))) ....... U1 % theorem_1(or_2(not_1(or_2(x0, or_2(or_2(x0, x1), x1))), not_1(not_1(or_2(x0, x1))))) ....... R4 [R3:L0, U1:L0] % Derivation of unit clause U10553: % axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... B3 % ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7 % ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | theorem_1(or_2(not_1(x1), x2)) ....... R1 [B3:L0, B7:L0] % ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7 % ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | ~axiom_1(or_2(not_1(x3), x1)) | theorem_1(or_2(not_1(x3), x2)) ....... R2 [R1:L1, B7:L1] % theorem_1(or_2(not_1(or_2(x0,or_2(or_2(x0,x1),x1))),not_1(not_1(or_2(x0,x1))))) ....... U9577 % ~axiom_1(or_2(not_1(x0), or_2(or_2(x1, x2), x2))) | theorem_1(or_2(not_1(x0), not_1(not_1(or_2(x1, x2))))) ....... R3 [R2:L0, U9577:L0] % axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... U3 % theorem_1(or_2(not_1(x0), not_1(not_1(or_2(x1, x0))))) ....... R4 [R3:L0, U3:L0] % Derivation of the empty clause: % theorem_1(or_2(not_1(x0),not_1(not_1(or_2(x1,x0))))) ....... U10553 % ~theorem_1(or_2(not_1(q_0()),not_1(not_1(or_2(p_0(),q_0()))))) ....... U662 % [] ....... R1 [U10553:L0, U662:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 42576 % resolvents: 42562 factors: 14 % Number of unit clauses generated: 35331 % % unit clauses generated to total clauses generated: 82.98 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 6 [1] = 6 [2] = 1335 [3] = 546 % [4] = 8661 % Total = 10554 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 35331 [2] = 7202 [3] = 43 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] axiom_1 (+)5 (-)7708 % [1] theorem_1 (+)2755 (-)86 % ------------------ % Total: (+)2760 (-)7794 % Total number of unit clauses retained: 10554 % Number of clauses skipped because of their length: 7662 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 42599 % Number of unification failures: 146468 % Number of unit to unit unification failures: 275412 % N literal unification failure due to lookup root_id table: 15252 % N base clause resolution failure due to lookup table: 127 % N UC-BCL resolution dropped due to lookup table: 8635 % Max entries in substitution set: 13 % N unit clauses dropped because they exceeded max values: 17980 % N unit clauses dropped because too much nesting: 3390 % 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: 53 % Max term depth in a unit clause: 11 % Number of states in UCFA table: 94850 % Total number of terms of all unit clauses in table: 291958 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.18 % Ratio n states used/total unit clauses terms: 0.32 % Number of symbols (columns) in UCFA: 40 % Profile 2: Number of calls to: % ============================== % PTUnify() = 189067 % ConstructUnitClause() = 28528 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.09 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.69 secs % %------------------------------------------------------------------------------