%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : LCL033-1 : TPTP v5.0.0. Released v1.0.0. % 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 : Sat Nov 27 23:26:51 EST 2010 % Result : Unsatisfiable 0.36s % Output : Refutation 0.36s % 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/SystemOnTPTP21712/LCL/LCL033-1+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 = 3] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 28] [nf = 0] [nu = 9] [ut = 8] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 70] [nf = 5] [nu = 27] [ut = 8] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~is_a_theorem_1(implies_2(a_0(),implies_2(b_0(),a_0()))) % B1: is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,falsehood_0())),x3),x4),implies_2(implies_2(x4,x0),implies_2(x2,x0)))) % B2: ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) % Unit Clauses: % -------------- % U1: < d0 v9 dv5 f9 c1 t19 td6 b > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,falsehood_0())),x3),x4),implies_2(implies_2(x4,x0),implies_2(x2,x0)))) % U3: < d2 v9 dv5 f8 c0 t17 td5 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),implies_2(x1,x3)),implies_2(x4,implies_2(x1,x3)))) % U5: < d2 v5 dv4 f5 c1 t11 td5 > is_a_theorem_1(implies_2(implies_2(implies_2(x0,implies_2(falsehood_0(),x1)),x2),implies_2(x3,x2))) % U6: < d2 v4 dv3 f4 c1 t9 td4 > is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),x2),implies_2(falsehood_0(),x2))) % U7: < d2 v4 dv3 f4 c1 t9 td4 > is_a_theorem_1(implies_2(implies_2(implies_2(falsehood_0(),x0),x1),implies_2(x2,x1))) % U50: < d4 v8 dv3 f12 c5 t25 td6 > ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(falsehood_0(),x0),x1),implies_2(x2,x1)),implies_2(implies_2(implies_2(implies_2(falsehood_0(),x0),x1),implies_2(x2,x1)),implies_2(a_0(),implies_2(b_0(),a_0()))))) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,falsehood_0())),x3),x4),implies_2(implies_2(x4,x0),implies_2(x2,x0)))) ....... U1 % Derivation of unit clause U3: % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,falsehood_0())),x3),x4),implies_2(implies_2(x4,x0),implies_2(x2,x0)))) ....... B1 % ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2 % ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, falsehood_0())), x3), x4), implies_2(implies_2(x4, x0), implies_2(x2, x0))), x5)) | is_a_theorem_1(x5) ....... R1 [B1:L0, B2:L0] % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,falsehood_0())),x3),x4),implies_2(implies_2(x4,x0),implies_2(x2,x0)))) ....... U1 % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x1)), implies_2(x1, x3)), implies_2(x4, implies_2(x1, x3)))) ....... R2 [R1:L0, U1:L0] % Derivation of unit clause U5: % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,falsehood_0())),x3),x4),implies_2(implies_2(x4,x0),implies_2(x2,x0)))) ....... B1 % ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2 % ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, falsehood_0())), x3), x4)) | is_a_theorem_1(implies_2(implies_2(x4, x0), implies_2(x2, x0))) ....... R1 [B1:L0, B2:L1] % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),implies_2(x1,x3)),implies_2(x4,implies_2(x1,x3)))) ....... U3 % is_a_theorem_1(implies_2(implies_2(implies_2(x0, implies_2(falsehood_0(), x1)), x2), implies_2(x3, x2))) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U6: % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,falsehood_0())),x3),x4),implies_2(implies_2(x4,x0),implies_2(x2,x0)))) ....... B1 % ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2 % ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, falsehood_0())), x3), x4)) | is_a_theorem_1(implies_2(implies_2(x4, x0), implies_2(x2, x0))) ....... R1 [B1:L0, B2:L1] % is_a_theorem_1(implies_2(implies_2(implies_2(x0,implies_2(falsehood_0(),x1)),x2),implies_2(x3,x2))) ....... U5 % is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), x2), implies_2(falsehood_0(), x2))) ....... R2 [R1:L0, U5:L0] % Derivation of unit clause U7: % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,falsehood_0())),x3),x4),implies_2(implies_2(x4,x0),implies_2(x2,x0)))) ....... B1 % ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2 % ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, falsehood_0())), x3), x4)) | is_a_theorem_1(implies_2(implies_2(x4, x0), implies_2(x2, x0))) ....... R1 [B1:L0, B2:L1] % is_a_theorem_1(implies_2(implies_2(implies_2(x0,x1),x2),implies_2(falsehood_0(),x2))) ....... U6 % is_a_theorem_1(implies_2(implies_2(implies_2(falsehood_0(), x0), x1), implies_2(x2, x1))) ....... R2 [R1:L0, U6:L0] % Derivation of unit clause U50: % ~is_a_theorem_1(implies_2(a_0(),implies_2(b_0(),a_0()))) ....... B0 % ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2 % ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0, implies_2(a_0(), implies_2(b_0(), a_0())))) ....... R1 [B0:L0, B2:L2] % ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B2 % ~is_a_theorem_1(x0) | ~is_a_theorem_1(x1) | ~is_a_theorem_1(implies_2(x1, implies_2(x0, implies_2(a_0(), implies_2(b_0(), a_0()))))) ....... R2 [R1:L1, B2:L2] % ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0, implies_2(x0, implies_2(a_0(), implies_2(b_0(), a_0()))))) ....... R3 [R2:L0, R2:L1] % is_a_theorem_1(implies_2(implies_2(implies_2(falsehood_0(),x0),x1),implies_2(x2,x1))) ....... U7 % ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(falsehood_0(), x0), x1), implies_2(x2, x1)), implies_2(implies_2(implies_2(implies_2(falsehood_0(), x0), x1), implies_2(x2, x1)), implies_2(a_0(), implies_2(b_0(), a_0()))))) ....... R4 [R3:L0, U7:L0] % Derivation of the empty clause: % ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(falsehood_0(),x0),x1),implies_2(x2,x1)),implies_2(implies_2(implies_2(implies_2(falsehood_0(),x0),x1),implies_2(x2,x1)),implies_2(a_0(),implies_2(b_0(),a_0()))))) ....... U50 % is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),implies_2(x1,x3)),implies_2(x4,implies_2(x1,x3)))) ....... U3 % [] ....... R1 [U50:L0, U3:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 198 % resolvents: 190 factors: 8 % Number of unit clauses generated: 131 % % unit clauses generated to total clauses generated: 66.16 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [2] = 6 [4] = 43 % Total = 51 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 131 [2] = 57 [3] = 10 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] is_a_theorem_1 (+)5 (-)46 % ------------------ % Total: (+)5 (-)46 % Total number of unit clauses retained: 51 % Number of clauses skipped because of their length: 26 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 210 % Number of unification failures: 100 % Number of unit to unit unification failures: 226 % N literal unification failure due to lookup root_id table: 25 % N base clause resolution failure due to lookup table: 0 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 10 % N unit clauses dropped because they exceeded max values: 56 % 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: 45 % Max term depth in a unit clause: 8 % Number of states in UCFA table: 488 % Total number of terms of all unit clauses in table: 999 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.49 % Number of symbols (columns) in UCFA: 39 % Profile 2: Number of calls to: % ============================== % PTUnify() = 310 % ConstructUnitClause() = 105 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.35 secs % %------------------------------------------------------------------------------