%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN655-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art01.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 11:06:16 EST 2010 % Result : Unsatisfiable 7.33s % Output : Refutation 7.33s % 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/SystemOnTPTP28801/SYN/SYN655-1+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 = 55] [nf = 0] [nu = 25] [ut = 21] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 467] [nf = 28] [nu = 199] [ut = 39] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 3038] [nf = 276] [nu = 1246] [ut = 66] % Looking for a proof at depth = 4 ... % t = 1 secs [nr = 38553] [nf = 1282] [nu = 20662] [ut = 263] % Looking for a proof at depth = 5 ... % t = 4 secs [nr = 325961] [nf = 13828] [nu = 174995] [ut = 349] % Looking for a proof at depth = 6 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~p3_2(f11_6(x0,x1,x2,x3,x4,x5),f4_1(x6)) % B3: p3_2(x0,x0) % B8: p9_2(x0,x0) % B9: ~p9_2(c22_0(),c23_0()) % B10: p21_2(f11_6(c24_0(),c25_0(),c26_0(),c27_0(),c22_0(),c28_0()),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0())) % B19: ~p21_2(f11_6(x2,x3,x6,x7,x0,x4),x5) | p9_2(x0,f15_8(x1,x2,x3,x4,x5,x6,x7,x0)) % B35: ~p9_2(x2,x1) | ~p9_2(x2,x0) | p9_2(x0,x1) % B36: ~p21_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p21_2(x0,x1) % Unit Clauses: % -------------- % U3: < d0 v2 dv1 f0 c0 t2 td1 b nc > p3_2(x0,x0) % U10: < d0 v0 dv0 f2 c12 t14 td2 b nc > p21_2(f11_6(c24_0(),c25_0(),c26_0(),c27_0(),c22_0(),c28_0()),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0())) % U17: < d1 v1 dv1 f2 c13 t16 td3 > p9_2(c22_0(),f15_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0()),c26_0(),c27_0(),c22_0())) % U27: < d2 v1 dv1 f2 c13 t16 td3 > p9_2(f15_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0()),c26_0(),c27_0(),c22_0()),c22_0()) % U29: < d2 v1 dv1 f2 c13 t16 td3 > ~p9_2(f15_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0()),c26_0(),c27_0(),c22_0()),c23_0()) % U45: < d3 v11 dv11 f4 c13 t28 td4 > ~p3_2(f11_6(x0,x1,x2,x3,c23_0(),x4),f11_6(x5,x6,x7,x8,f15_8(x9,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0()),c26_0(),c27_0(),c22_0()),x10)) % U349: < d6 v1 dv1 f1 c6 t8 td2 > ~p3_2(x0,f11_6(c24_0(),c25_0(),c26_0(),c27_0(),c22_0(),c28_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U3: % p3_2(x0,x0) ....... U3 % Derivation of unit clause U10: % p21_2(f11_6(c24_0(),c25_0(),c26_0(),c27_0(),c22_0(),c28_0()),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0())) ....... U10 % Derivation of unit clause U17: % p21_2(f11_6(c24_0(),c25_0(),c26_0(),c27_0(),c22_0(),c28_0()),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0())) ....... B10 % ~p21_2(f11_6(x2,x3,x6,x7,x0,x4),x5) | p9_2(x0,f15_8(x1,x2,x3,x4,x5,x6,x7,x0)) ....... B19 % p9_2(c22_0(), f15_8(x0, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0())) ....... R1 [B10:L0, B19:L0] % Derivation of unit clause U27: % p9_2(x0,x0) ....... B8 % ~p9_2(x2,x1) | ~p9_2(x2,x0) | p9_2(x0,x1) ....... B35 % ~p9_2(x0, x1) | p9_2(x1, x0) ....... R1 [B8:L0, B35:L0] % p9_2(c22_0(),f15_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0()),c26_0(),c27_0(),c22_0())) ....... U17 % p9_2(f15_8(x0, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()), c22_0()) ....... R2 [R1:L0, U17:L0] % Derivation of unit clause U29: % ~p9_2(c22_0(),c23_0()) ....... B9 % ~p9_2(x2,x1) | ~p9_2(x2,x0) | p9_2(x0,x1) ....... B35 % ~p9_2(x0, c23_0()) | ~p9_2(x0, c22_0()) ....... R1 [B9:L0, B35:L2] % p9_2(f15_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0()),c26_0(),c27_0(),c22_0()),c22_0()) ....... U27 % ~p9_2(f15_8(x0, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()), c23_0()) ....... R2 [R1:L1, U27:L0] % Derivation of unit clause U45: % p9_2(x0,x0) ....... B8 % ~p9_2(x2,x1) | ~p9_2(x2,x0) | p9_2(x0,x1) ....... B35 % ~p9_2(x0, x1) | p9_2(x1, x0) ....... R1 [B8:L0, B35:L0] % ~p3_2(f11_6(x2,x3,x4,x5,x0,x6),f11_6(x7,x8,x9,x10,x1,x11)) | p9_2(x0,x1) ....... B16 % p9_2(x0, x1) | ~p3_2(f11_6(x2, x3, x4, x5, x1, x6), f11_6(x7, x8, x9, x10, x0, x11)) ....... R2 [R1:L0, B16:L1] % ~p9_2(f15_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0()),c26_0(),c27_0(),c22_0()),c23_0()) ....... U29 % ~p3_2(f11_6(x0, x1, x2, x3, c23_0(), x4), f11_6(x5, x6, x7, x8, f15_8(x9, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()), x10)) ....... R3 [R2:L0, U29:L0] % Derivation of unit clause U349: % p3_2(x0,x0) ....... B3 % ~p21_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p21_2(x0,x1) ....... B36 % ~p21_2(x0, x1) | ~p3_2(x0, x2) | p21_2(x2, x1) ....... R1 [B3:L0, B36:L1] % p21_2(f11_6(c24_0(),c25_0(),c26_0(),c27_0(),c22_0(),c28_0()),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0())) ....... U10 % ~p3_2(f11_6(c24_0(), c25_0(), c26_0(), c27_0(), c22_0(), c28_0()), x0) | p21_2(x0, f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0())) ....... R2 [R1:L0, U10:L0] % ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B30 % p21_2(x0, f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0())) | ~p3_2(x1, x0) | ~p3_2(x1, f11_6(c24_0(), c25_0(), c26_0(), c27_0(), c22_0(), c28_0())) ....... R3 [R2:L0, B30:L2] % p21_2(f11_6(c24_0(), c25_0(), c26_0(), c27_0(), c22_0(), c28_0()), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0())) | ~p3_2(x0, f11_6(c24_0(), c25_0(), c26_0(), c27_0(), c22_0(), c28_0())) ....... R4 [R3:L2, R3:L1] % ~p21_2(f11_6(x2,x3,x5,x6,x7,x4),x0) | p3_2(x0,f11_6(f19_8(x1,x2,x3,x4,x0,x5,x6,x7),f18_8(x1,x2,x3,x4,x0,x5,x6,x7),f17_8(x1,x2,x3,x4,x0,x5,x6,x7),f16_8(x1,x2,x3,x4,x0,x5,x6,x7),f15_8(x1,x2,x3,x4,x0,x5,x6,x7),f14_8(x1,x2,x3,x4,x0,x5,x6,x7))) ....... B47 % ~p3_2(x0, f11_6(c24_0(), c25_0(), c26_0(), c27_0(), c22_0(), c28_0())) | p3_2(f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), f11_6(f19_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()), f18_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()), f17_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()), f16_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()), f15_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()), f14_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c31_0(), c32_0(), c23_0(), c33_0()), c26_0(), c27_0(), c22_0()))) ....... R5 [R4:L0, B47:L0] % ~p3_2(f11_6(x0,x1,x2,x3,c23_0(),x4),f11_6(x5,x6,x7,x8,f15_8(x9,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c31_0(),c32_0(),c23_0(),c33_0()),c26_0(),c27_0(),c22_0()),x10)) ....... U45 % ~p3_2(x0, f11_6(c24_0(), c25_0(), c26_0(), c27_0(), c22_0(), c28_0())) ....... R6 [R5:L1, U45:L0] % Derivation of the empty clause: % ~p3_2(x0,f11_6(c24_0(),c25_0(),c26_0(),c27_0(),c22_0(),c28_0())) ....... U349 % p3_2(x0,x0) ....... U3 % [] ....... R1 [U349:L0, U3:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 663698 % resolvents: 640995 factors: 22703 % Number of unit clauses generated: 346207 % % unit clauses generated to total clauses generated: 52.16 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 12 [1] = 9 [2] = 18 [3] = 27 % [4] = 197 [5] = 86 [6] = 1 % Total = 350 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 346207 [2] = 276937 [3] = 40514 [4] = 40 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p10_2 (+)1 (-)0 % [1] p12_2 (+)7 (-)0 % [2] p21_2 (+)85 (-)6 % [3] p2_2 (+)160 (-)0 % [4] p3_2 (+)47 (-)25 % [5] p5_2 (+)1 (-)0 % [6] p6_2 (+)1 (-)0 % [7] p7_2 (+)1 (-)0 % [8] p8_2 (+)6 (-)0 % [9] p9_2 (+)6 (-)4 % ------------------ % Total: (+)315 (-)35 % Total number of unit clauses retained: 350 % Number of clauses skipped because of their length: 641942 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 16572 % Number of successful unifications: 663712 % Number of unification failures: 7392820 % Number of unit to unit unification failures: 1662 % N literal unification failure due to lookup root_id table: 1484957 % N base clause resolution failure due to lookup table: 1719183 % N UC-BCL resolution dropped due to lookup table: 514083 % Max entries in substitution set: 26 % N unit clauses dropped because they exceeded max values: 305185 % N unit clauses dropped because too much nesting: 49906 % 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: 56 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 3797 % Total number of terms of all unit clauses in table: 9853 % Max allowed number of states in UCFA: 496000 % Ratio n states used/total allowed states: 0.01 % Ratio n states used/total unit clauses terms: 0.39 % Number of symbols (columns) in UCFA: 66 % Profile 2: Number of calls to: % ============================== % PTUnify() = 8056532 % ConstructUnitClause() = 305523 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.63 secs % -------------------------------------------------------- % | | % Inferences per sec: 94814 % | | % -------------------------------------------------------- % Elapsed time: 7 secs % CPU time: 7.33 secs % %------------------------------------------------------------------------------