%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : MGT009-1 : TPTP v5.0.0. Released v2.4.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art11.cs.miami.edu % Model : i686 i686 % CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz % Memory : 2006MB % OS : Linux 2.6.31.5-127.fc12.i686.PAE % CPULimit : 300s % DateTime : Sun Nov 28 01:54:35 EST 2010 % Result : Unsatisfiable 2.14s % Output : Refutation 2.14s % 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/SystemOnTPTP14192/MGT/MGT009-1+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 = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 7 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 8 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 9 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 10 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 11 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 12 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 13 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 14 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 15 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 16 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 17 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 18 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 19 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 20 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 21 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 22 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 23 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 24 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 25 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 26 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 27 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 28 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 29 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Looking for a proof at depth = 30 ... % t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 12] % Restarting search with different parameters. % Looking for a proof at depth = 1 ... % t = 0 secs [nr = 4] [nf = 0] [nu = 4] [ut = 14] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 8] [nf = 0] [nu = 8] [ut = 14] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 12] [nf = 0] [nu = 12] [ut = 14] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 16] [nf = 0] [nu = 16] [ut = 14] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 20] [nf = 0] [nu = 20] [ut = 14] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 24] [nf = 0] [nu = 24] [ut = 14] % Looking for a proof at depth = 7 ... % t = 0 secs [nr = 28] [nf = 0] [nu = 28] [ut = 14] % Looking for a proof at depth = 8 ... % t = 0 secs [nr = 74] [nf = 252] [nu = 32] [ut = 14] % Looking for a proof at depth = 9 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: greater_2(sk8_0(),sk7_0()) % B1: organization_2(sk2_0(),sk9_0()) % B2: organization_2(sk3_0(),sk10_0()) % B12: ~organization_2(x0,x1) | inertia_3(x0,sk1_2(x1,x0),x1) % B13: ~greater_2(x6,x5) | ~organization_2(x2,x3) | ~organization_2(x0,x1) | ~class_3(x2,x4,x3) | ~class_3(x0,x4,x1) | ~inertia_3(x2,x8,x3) | ~inertia_3(x0,x7,x1) | ~size_3(x2,x6,x3) | ~size_3(x0,x5,x1) | greater_2(x8,x7) % B15: ~greater_2(x7,x6) | ~organization_2(x2,x3) | ~organization_2(x0,x1) | ~inertia_3(x2,x7,x3) | ~inertia_3(x0,x6,x1) | ~reorganization_free_3(x2,x3,x3) | ~reorganization_free_3(x0,x1,x1) | ~reproducibility_3(x2,x5,x3) | ~reproducibility_3(x0,x4,x1) | greater_2(x5,x4) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c2 t2 td1 b nc > organization_2(sk2_0(),sk9_0()) % U2: < d0 v0 dv0 f0 c2 t2 td1 b nc > organization_2(sk3_0(),sk10_0()) % U3: < d0 v0 dv0 f0 c3 t3 td1 b nc > class_3(sk2_0(),sk4_0(),sk9_0()) % U4: < d0 v0 dv0 f0 c3 t3 td1 b nc > class_3(sk3_0(),sk4_0(),sk10_0()) % U5: < d0 v0 dv0 f0 c3 t3 td1 b nc > reorganization_free_3(sk2_0(),sk9_0(),sk9_0()) % U6: < d0 v0 dv0 f0 c3 t3 td1 b nc > reorganization_free_3(sk3_0(),sk10_0(),sk10_0()) % U7: < d0 v0 dv0 f0 c3 t3 td1 b nc > reproducibility_3(sk2_0(),sk5_0(),sk9_0()) % U8: < d0 v0 dv0 f0 c3 t3 td1 b nc > reproducibility_3(sk3_0(),sk6_0(),sk10_0()) % U9: < d0 v0 dv0 f0 c3 t3 td1 b nc > size_3(sk2_0(),sk7_0(),sk9_0()) % U10: < d0 v0 dv0 f0 c3 t3 td1 b nc > size_3(sk3_0(),sk8_0(),sk10_0()) % U11: < d0 v0 dv0 f0 c2 t2 td1 b nc > ~greater_2(sk6_0(),sk5_0()) % U12: < d1 v0 dv0 f1 c4 t5 td2 > inertia_3(sk2_0(),sk1_2(sk9_0(),sk2_0()),sk9_0()) % U13: < d1 v0 dv0 f1 c4 t5 td2 > inertia_3(sk3_0(),sk1_2(sk10_0(),sk3_0()),sk10_0()) % U14: < d9 v0 dv0 f2 c4 t6 td2 > greater_2(sk1_2(sk10_0(),sk3_0()),sk1_2(sk9_0(),sk2_0())) % U15: < d9 v0 dv0 f0 c2 t2 td1 > greater_2(sk6_0(),sk5_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % organization_2(sk2_0(),sk9_0()) ....... U1 % Derivation of unit clause U2: % organization_2(sk3_0(),sk10_0()) ....... U2 % Derivation of unit clause U3: % class_3(sk2_0(),sk4_0(),sk9_0()) ....... U3 % Derivation of unit clause U4: % class_3(sk3_0(),sk4_0(),sk10_0()) ....... U4 % Derivation of unit clause U5: % reorganization_free_3(sk2_0(),sk9_0(),sk9_0()) ....... U5 % Derivation of unit clause U6: % reorganization_free_3(sk3_0(),sk10_0(),sk10_0()) ....... U6 % Derivation of unit clause U7: % reproducibility_3(sk2_0(),sk5_0(),sk9_0()) ....... U7 % Derivation of unit clause U8: % reproducibility_3(sk3_0(),sk6_0(),sk10_0()) ....... U8 % Derivation of unit clause U9: % size_3(sk2_0(),sk7_0(),sk9_0()) ....... U9 % Derivation of unit clause U10: % size_3(sk3_0(),sk8_0(),sk10_0()) ....... U10 % Derivation of unit clause U11: % ~greater_2(sk6_0(),sk5_0()) ....... U11 % Derivation of unit clause U12: % organization_2(sk2_0(),sk9_0()) ....... B1 % ~organization_2(x0,x1) | inertia_3(x0,sk1_2(x1,x0),x1) ....... B12 % inertia_3(sk2_0(), sk1_2(sk9_0(), sk2_0()), sk9_0()) ....... R1 [B1:L0, B12:L0] % Derivation of unit clause U13: % organization_2(sk3_0(),sk10_0()) ....... B2 % ~organization_2(x0,x1) | inertia_3(x0,sk1_2(x1,x0),x1) ....... B12 % inertia_3(sk3_0(), sk1_2(sk10_0(), sk3_0()), sk10_0()) ....... R1 [B2:L0, B12:L0] % Derivation of unit clause U14: % greater_2(sk8_0(),sk7_0()) ....... B0 % ~greater_2(x6,x5) | ~organization_2(x2,x3) | ~organization_2(x0,x1) | ~class_3(x2,x4,x3) | ~class_3(x0,x4,x1) | ~inertia_3(x2,x8,x3) | ~inertia_3(x0,x7,x1) | ~size_3(x2,x6,x3) | ~size_3(x0,x5,x1) | greater_2(x8,x7) ....... B13 % ~organization_2(x0, x1) | ~organization_2(x2, x3) | ~class_3(x0, x4, x1) | ~class_3(x2, x4, x3) | ~inertia_3(x0, x5, x1) | ~inertia_3(x2, x6, x3) | ~size_3(x0, sk8_0(), x1) | ~size_3(x2, sk7_0(), x3) | greater_2(x5, x6) ....... R1 [B0:L0, B13:L0] % organization_2(sk3_0(),sk10_0()) ....... U2 % ~organization_2(x0, x1) | ~class_3(sk3_0(), x2, sk10_0()) | ~class_3(x0, x2, x1) | ~inertia_3(sk3_0(), x3, sk10_0()) | ~inertia_3(x0, x4, x1) | ~size_3(sk3_0(), sk8_0(), sk10_0()) | ~size_3(x0, sk7_0(), x1) | greater_2(x3, x4) ....... R2 [R1:L0, U2:L0] % organization_2(sk2_0(),sk9_0()) ....... U1 % ~class_3(sk3_0(), x0, sk10_0()) | ~class_3(sk2_0(), x0, sk9_0()) | ~inertia_3(sk3_0(), x1, sk10_0()) | ~inertia_3(sk2_0(), x2, sk9_0()) | ~size_3(sk3_0(), sk8_0(), sk10_0()) | ~size_3(sk2_0(), sk7_0(), sk9_0()) | greater_2(x1, x2) ....... R3 [R2:L0, U1:L0] % class_3(sk3_0(),sk4_0(),sk10_0()) ....... U4 % ~class_3(sk2_0(), sk4_0(), sk9_0()) | ~inertia_3(sk3_0(), x0, sk10_0()) | ~inertia_3(sk2_0(), x1, sk9_0()) | ~size_3(sk3_0(), sk8_0(), sk10_0()) | ~size_3(sk2_0(), sk7_0(), sk9_0()) | greater_2(x0, x1) ....... R4 [R3:L0, U4:L0] % class_3(sk2_0(),sk4_0(),sk9_0()) ....... U3 % ~inertia_3(sk3_0(), x0, sk10_0()) | ~inertia_3(sk2_0(), x1, sk9_0()) | ~size_3(sk3_0(), sk8_0(), sk10_0()) | ~size_3(sk2_0(), sk7_0(), sk9_0()) | greater_2(x0, x1) ....... R5 [R4:L0, U3:L0] % inertia_3(sk3_0(),sk1_2(sk10_0(),sk3_0()),sk10_0()) ....... U13 % ~inertia_3(sk2_0(), x0, sk9_0()) | ~size_3(sk3_0(), sk8_0(), sk10_0()) | ~size_3(sk2_0(), sk7_0(), sk9_0()) | greater_2(sk1_2(sk10_0(), sk3_0()), x0) ....... R6 [R5:L0, U13:L0] % inertia_3(sk2_0(),sk1_2(sk9_0(),sk2_0()),sk9_0()) ....... U12 % ~size_3(sk3_0(), sk8_0(), sk10_0()) | ~size_3(sk2_0(), sk7_0(), sk9_0()) | greater_2(sk1_2(sk10_0(), sk3_0()), sk1_2(sk9_0(), sk2_0())) ....... R7 [R6:L0, U12:L0] % size_3(sk3_0(),sk8_0(),sk10_0()) ....... U10 % ~size_3(sk2_0(), sk7_0(), sk9_0()) | greater_2(sk1_2(sk10_0(), sk3_0()), sk1_2(sk9_0(), sk2_0())) ....... R8 [R7:L0, U10:L0] % size_3(sk2_0(),sk7_0(),sk9_0()) ....... U9 % greater_2(sk1_2(sk10_0(), sk3_0()), sk1_2(sk9_0(), sk2_0())) ....... R9 [R8:L0, U9:L0] % Derivation of unit clause U15: % organization_2(sk2_0(),sk9_0()) ....... B1 % ~greater_2(x7,x6) | ~organization_2(x2,x3) | ~organization_2(x0,x1) | ~inertia_3(x2,x7,x3) | ~inertia_3(x0,x6,x1) | ~reorganization_free_3(x2,x3,x3) | ~reorganization_free_3(x0,x1,x1) | ~reproducibility_3(x2,x5,x3) | ~reproducibility_3(x0,x4,x1) | greater_2(x5,x4) ....... B15 % ~greater_2(x0, x1) | ~organization_2(x2, x3) | ~inertia_3(x2, x0, x3) | ~inertia_3(sk2_0(), x1, sk9_0()) | ~reorganization_free_3(x2, x3, x3) | ~reorganization_free_3(sk2_0(), sk9_0(), sk9_0()) | ~reproducibility_3(x2, x4, x3) | ~reproducibility_3(sk2_0(), x5, sk9_0()) | greater_2(x4, x5) ....... R1 [B1:L0, B15:L2] % greater_2(sk1_2(sk10_0(),sk3_0()),sk1_2(sk9_0(),sk2_0())) ....... U14 % ~organization_2(x0, x1) | ~inertia_3(x0, sk1_2(sk10_0(), sk3_0()), x1) | ~inertia_3(sk2_0(), sk1_2(sk9_0(), sk2_0()), sk9_0()) | ~reorganization_free_3(x0, x1, x1) | ~reorganization_free_3(sk2_0(), sk9_0(), sk9_0()) | ~reproducibility_3(x0, x2, x1) | ~reproducibility_3(sk2_0(), x3, sk9_0()) | greater_2(x2, x3) ....... R2 [R1:L0, U14:L0] % organization_2(sk3_0(),sk10_0()) ....... U2 % ~inertia_3(sk3_0(), sk1_2(sk10_0(), sk3_0()), sk10_0()) | ~inertia_3(sk2_0(), sk1_2(sk9_0(), sk2_0()), sk9_0()) | ~reorganization_free_3(sk3_0(), sk10_0(), sk10_0()) | ~reorganization_free_3(sk2_0(), sk9_0(), sk9_0()) | ~reproducibility_3(sk3_0(), x0, sk10_0()) | ~reproducibility_3(sk2_0(), x1, sk9_0()) | greater_2(x0, x1) ....... R3 [R2:L0, U2:L0] % inertia_3(sk3_0(),sk1_2(sk10_0(),sk3_0()),sk10_0()) ....... U13 % ~inertia_3(sk2_0(), sk1_2(sk9_0(), sk2_0()), sk9_0()) | ~reorganization_free_3(sk3_0(), sk10_0(), sk10_0()) | ~reorganization_free_3(sk2_0(), sk9_0(), sk9_0()) | ~reproducibility_3(sk3_0(), x0, sk10_0()) | ~reproducibility_3(sk2_0(), x1, sk9_0()) | greater_2(x0, x1) ....... R4 [R3:L0, U13:L0] % inertia_3(sk2_0(),sk1_2(sk9_0(),sk2_0()),sk9_0()) ....... U12 % ~reorganization_free_3(sk3_0(), sk10_0(), sk10_0()) | ~reorganization_free_3(sk2_0(), sk9_0(), sk9_0()) | ~reproducibility_3(sk3_0(), x0, sk10_0()) | ~reproducibility_3(sk2_0(), x1, sk9_0()) | greater_2(x0, x1) ....... R5 [R4:L0, U12:L0] % reorganization_free_3(sk3_0(),sk10_0(),sk10_0()) ....... U6 % ~reorganization_free_3(sk2_0(), sk9_0(), sk9_0()) | ~reproducibility_3(sk3_0(), x0, sk10_0()) | ~reproducibility_3(sk2_0(), x1, sk9_0()) | greater_2(x0, x1) ....... R6 [R5:L0, U6:L0] % reorganization_free_3(sk2_0(),sk9_0(),sk9_0()) ....... U5 % ~reproducibility_3(sk3_0(), x0, sk10_0()) | ~reproducibility_3(sk2_0(), x1, sk9_0()) | greater_2(x0, x1) ....... R7 [R6:L0, U5:L0] % reproducibility_3(sk3_0(),sk6_0(),sk10_0()) ....... U8 % ~reproducibility_3(sk2_0(), x0, sk9_0()) | greater_2(sk6_0(), x0) ....... R8 [R7:L0, U8:L0] % reproducibility_3(sk2_0(),sk5_0(),sk9_0()) ....... U7 % greater_2(sk6_0(), sk5_0()) ....... R9 [R8:L0, U7:L0] % Derivation of the empty clause: % greater_2(sk6_0(),sk5_0()) ....... U15 % ~greater_2(sk6_0(),sk5_0()) ....... U11 % [] ....... R1 [U15:L0, U11:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 886613 % resolvents: 861224 factors: 25389 % Number of unit clauses generated: 80674 % % unit clauses generated to total clauses generated: 9.10 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 12 [1] = 2 [9] = 2 % Total = 16 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 80674 [2] = 254401 [3] = 286537 [4] = 174523 [5] = 67963 [6] = 18296 % [7] = 3479 [8] = 675 [9] = 65 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] greater_2 (+)3 (-)1 % [1] organization_2 (+)2 (-)0 % [2] class_3 (+)2 (-)0 % [3] inertia_3 (+)2 (-)0 % [4] reorganization_free_3 (+)2 (-)0 % [5] reproducibility_3 (+)2 (-)0 % [6] size_3 (+)2 (-)0 % ------------------ % Total: (+)15 (-)1 % Total number of unit clauses retained: 16 % Number of clauses skipped because of their length: 162419 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 886633 % Number of unification failures: 2756262 % Number of unit to unit unification failures: 2 % N literal unification failure due to lookup root_id table: 3340053 % N base clause resolution failure due to lookup table: 101 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 11 % N unit clauses dropped because they exceeded max values: 80641 % 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: 6 % Max term depth in a unit clause: 2 % Number of states in UCFA table: 45 % Total number of terms of all unit clauses in table: 50 % 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: 0.90 % Number of symbols (columns) in UCFA: 51 % Profile 2: Number of calls to: % ============================== % PTUnify() = 3642895 % ConstructUnitClause() = 80645 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.10 secs % -------------------------------------------------------- % | | % Inferences per sec: 443306 % | | % -------------------------------------------------------- % Elapsed time: 2 secs % CPU time: 2.14 secs % %------------------------------------------------------------------------------