%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN574-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art05.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 10:29:26 EST 2010 % Result : Unsatisfiable 121.12s % Output : Refutation 121.12s % 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/SystemOnTPTP5814/SYN/SYN574-1+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 = 43] [nf = 0] [nu = 21] [ut = 21] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 553] [nf = 16] [nu = 306] [ut = 54] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 3840] [nf = 138] [nu = 2341] [ut = 65] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 69047] [nf = 1082] [nu = 55737] [ut = 78] % Looking for a proof at depth = 5 ... % t = 1 secs [nr = 446990] [nf = 16482] [nu = 335898] [ut = 95] % Looking for a proof at depth = 6 ... % t = 24 secs [nr = 8185087] [nf = 121317] [nu = 6789391] [ut = 95] % Looking for a proof at depth = 7 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 122 secs [nr = 45857871] [nf = 1371741] [nu = 35930440] [ut = 95] % Looking for a proof at depth = 2 ... % t = 122 secs [nr = 45858613] [nf = 1371757] [nu = 35930907] [ut = 95] % Looking for a proof at depth = 3 ... % t = 122 secs [nr = 45863046] [nf = 1371935] [nu = 35933773] [ut = 95] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p10_2(x0,x0) % B1: p3_2(x0,x0) % B2: p7_2(x0,x0) % B5: p11_2(c14_0(),c15_0()) % B6: p9_2(c12_0(),c13_0()) % B11: ~p9_2(x0,c13_0()) | p9_2(x0,f4_1(c14_0())) % B16: ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) % B19: ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p9_2(x2,x3) | p9_2(x0,x1) % B20: ~p11_2(x2,c15_0()) | ~p2_2(x1,f5_1(x2)) | ~p9_2(c12_0(),x0) | p9_2(f8_2(x0,x1),x0) | p9_2(f8_2(x0,x1),f4_1(x1)) % B21: ~p11_2(x0,c15_0()) | ~p2_2(x2,f5_1(x0)) | ~p9_2(f8_2(x1,x2),f4_1(x2)) | ~p9_2(f8_2(x1,x2),x1) | ~p9_2(c12_0(),x1) % Unit Clauses: % -------------- % U3: < d0 v2 dv1 f3 c0 t5 td3 b nc > p3_2(f4_1(f5_1(x0)),f4_1(x0)) % U5: < d0 v0 dv0 f0 c2 t2 td1 b nc > p11_2(c14_0(),c15_0()) % U7: < d0 v2 dv1 f0 c0 t2 td1 b nc > p2_2(x0,x0) % U8: < d1 v0 dv0 f1 c2 t3 td2 > p9_2(c12_0(),f4_1(c14_0())) % U24: < d2 v2 dv1 f3 c0 t5 td3 > p3_2(f4_1(x0),f4_1(f5_1(x0))) % U54: < d3 v0 dv0 f2 c2 t4 td3 > p9_2(c12_0(),f4_1(f5_1(c14_0()))) % U77: < d4 v0 dv0 f6 c3 t9 td4 > ~p9_2(f8_2(f4_1(f5_1(c14_0())),f5_1(c14_0())),f4_1(f5_1(c14_0()))) % U83: < d5 v0 dv0 f5 c3 t8 td3 > ~p9_2(f8_2(f4_1(c14_0()),f5_1(c14_0())),f4_1(f5_1(c14_0()))) % U88: < d5 v0 dv0 f4 c3 t7 td3 > ~p9_2(f8_2(f4_1(c14_0()),f5_1(c14_0())),f4_1(c14_0())) % U95: < d4 v0 dv0 f5 c3 t8 td3 > p9_2(f8_2(f4_1(c14_0()),f5_1(c14_0())),f4_1(f5_1(c14_0()))) % --------------- Start of Proof --------------- % Derivation of unit clause U3: % p3_2(f4_1(f5_1(x0)),f4_1(x0)) ....... U3 % Derivation of unit clause U5: % p11_2(c14_0(),c15_0()) ....... U5 % Derivation of unit clause U7: % p2_2(x0,x0) ....... U7 % Derivation of unit clause U8: % p9_2(c12_0(),c13_0()) ....... B6 % ~p9_2(x0,c13_0()) | p9_2(x0,f4_1(c14_0())) ....... B11 % p9_2(c12_0(), f4_1(c14_0())) ....... R1 [B6:L0, B11:L0] % Derivation of unit clause U24: % p3_2(x0,x0) ....... B1 % ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B16 % ~p3_2(x0, x1) | p3_2(x1, x0) ....... R1 [B1:L0, B16:L0] % p3_2(f4_1(f5_1(x0)),f4_1(x0)) ....... U3 % p3_2(f4_1(x0), f4_1(f5_1(x0))) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U54: % p7_2(x0,x0) ....... B2 % ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p9_2(x2,x3) | p9_2(x0,x1) ....... B19 % ~p3_2(x0, x1) | ~p9_2(x2, x0) | p9_2(x2, x1) ....... R1 [B2:L0, B19:L1] % p3_2(f4_1(x0),f4_1(f5_1(x0))) ....... U24 % ~p9_2(x0, f4_1(x1)) | p9_2(x0, f4_1(f5_1(x1))) ....... R2 [R1:L0, U24:L0] % p9_2(c12_0(),f4_1(c14_0())) ....... U8 % p9_2(c12_0(), f4_1(f5_1(c14_0()))) ....... R3 [R2:L0, U8:L0] % Derivation of unit clause U77: % ~p11_2(x0,c15_0()) | ~p2_2(x2,f5_1(x0)) | ~p9_2(f8_2(x1,x2),f4_1(x2)) | ~p9_2(f8_2(x1,x2),x1) | ~p9_2(c12_0(),x1) ....... B21 % ~p11_2(x0, c15_0()) | ~p2_2(x1, f5_1(x0)) | ~p9_2(f8_2(f4_1(x1), x1), f4_1(x1)) | ~p9_2(c12_0(), f4_1(x1)) ....... R1 [B21:L2, B21:L3] % p11_2(c14_0(),c15_0()) ....... U5 % ~p2_2(x0, f5_1(c14_0())) | ~p9_2(f8_2(f4_1(x0), x0), f4_1(x0)) | ~p9_2(c12_0(), f4_1(x0)) ....... R2 [R1:L0, U5:L0] % p2_2(x0,x0) ....... U7 % ~p9_2(f8_2(f4_1(f5_1(c14_0())), f5_1(c14_0())), f4_1(f5_1(c14_0()))) | ~p9_2(c12_0(), f4_1(f5_1(c14_0()))) ....... R3 [R2:L0, U7:L0] % p9_2(c12_0(),f4_1(f5_1(c14_0()))) ....... U54 % ~p9_2(f8_2(f4_1(f5_1(c14_0())), f5_1(c14_0())), f4_1(f5_1(c14_0()))) ....... R4 [R3:L1, U54:L0] % Derivation of unit clause U83: % p3_2(x0,x0) ....... B1 % ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p9_2(x2,x3) | p9_2(x0,x1) ....... B19 % ~p7_2(x0, x1) | ~p9_2(x0, x2) | p9_2(x1, x2) ....... R1 [B1:L0, B19:L0] % ~p9_2(f8_2(f4_1(f5_1(c14_0())),f5_1(c14_0())),f4_1(f5_1(c14_0()))) ....... U77 % ~p7_2(x0, f8_2(f4_1(f5_1(c14_0())), f5_1(c14_0()))) | ~p9_2(x0, f4_1(f5_1(c14_0()))) ....... R2 [R1:L2, U77:L0] % ~p2_2(x1,x3) | ~p3_2(x0,x2) | p7_2(f8_2(x0,x1),f8_2(x2,x3)) ....... B13 % ~p9_2(f8_2(x0, x1), f4_1(f5_1(c14_0()))) | ~p2_2(x1, f5_1(c14_0())) | ~p3_2(x0, f4_1(f5_1(c14_0()))) ....... R3 [R2:L0, B13:L2] % p2_2(x0,x0) ....... U7 % ~p9_2(f8_2(x0, f5_1(c14_0())), f4_1(f5_1(c14_0()))) | ~p3_2(x0, f4_1(f5_1(c14_0()))) ....... R4 [R3:L1, U7:L0] % p3_2(f4_1(x0),f4_1(f5_1(x0))) ....... U24 % ~p9_2(f8_2(f4_1(c14_0()), f5_1(c14_0())), f4_1(f5_1(c14_0()))) ....... R5 [R4:L1, U24:L0] % Derivation of unit clause U88: % p7_2(x0,x0) ....... B2 % ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p9_2(x2,x3) | p9_2(x0,x1) ....... B19 % ~p3_2(x0, x1) | ~p9_2(x2, x0) | p9_2(x2, x1) ....... R1 [B2:L0, B19:L1] % p3_2(f4_1(x0),f4_1(f5_1(x0))) ....... U24 % ~p9_2(x0, f4_1(x1)) | p9_2(x0, f4_1(f5_1(x1))) ....... R2 [R1:L0, U24:L0] % ~p9_2(x0,c13_0()) | p9_2(x0,f4_1(c14_0())) ....... B11 % p9_2(x0, f4_1(f5_1(c14_0()))) | ~p9_2(x0, c13_0()) ....... R3 [R2:L0, B11:L1] % ~p9_2(x0,f4_1(c14_0())) | p9_2(x0,c13_0()) ....... B12 % p9_2(x0, f4_1(f5_1(c14_0()))) | ~p9_2(x0, f4_1(c14_0())) ....... R4 [R3:L1, B12:L1] % ~p9_2(f8_2(f4_1(c14_0()),f5_1(c14_0())),f4_1(f5_1(c14_0()))) ....... U83 % ~p9_2(f8_2(f4_1(c14_0()), f5_1(c14_0())), f4_1(c14_0())) ....... R5 [R4:L0, U83:L0] % Derivation of unit clause U95: % p11_2(c14_0(),c15_0()) ....... B5 % ~p11_2(x2,c15_0()) | ~p2_2(x1,f5_1(x2)) | ~p9_2(c12_0(),x0) | p9_2(f8_2(x0,x1),x0) | p9_2(f8_2(x0,x1),f4_1(x1)) ....... B20 % ~p2_2(x0, f5_1(c14_0())) | ~p9_2(c12_0(), x1) | p9_2(f8_2(x1, x0), x1) | p9_2(f8_2(x1, x0), f4_1(x0)) ....... R1 [B5:L0, B20:L0] % p2_2(x0,x0) ....... U7 % ~p9_2(c12_0(), x0) | p9_2(f8_2(x0, f5_1(c14_0())), x0) | p9_2(f8_2(x0, f5_1(c14_0())), f4_1(f5_1(c14_0()))) ....... R2 [R1:L0, U7:L0] % p9_2(c12_0(),f4_1(c14_0())) ....... U8 % p9_2(f8_2(f4_1(c14_0()), f5_1(c14_0())), f4_1(c14_0())) | p9_2(f8_2(f4_1(c14_0()), f5_1(c14_0())), f4_1(f5_1(c14_0()))) ....... R3 [R2:L0, U8:L0] % ~p9_2(f8_2(f4_1(c14_0()),f5_1(c14_0())),f4_1(c14_0())) ....... U88 % p9_2(f8_2(f4_1(c14_0()), f5_1(c14_0())), f4_1(f5_1(c14_0()))) ....... R4 [R3:L0, U88:L0] % Derivation of the empty clause: % p9_2(f8_2(f4_1(c14_0()),f5_1(c14_0())),f4_1(f5_1(c14_0()))) ....... U95 % ~p9_2(f8_2(f4_1(c14_0()),f5_1(c14_0())),f4_1(f5_1(c14_0()))) ....... U83 % [] ....... R1 [U95:L0, U83:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 47267719 % resolvents: 45895588 factors: 1372131 % Number of unit clauses generated: 35961391 % % unit clauses generated to total clauses generated: 76.08 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 8 [1] = 13 [2] = 33 [3] = 11 % [4] = 14 [5] = 17 % Total = 96 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 35961391 [2] = 9113729 [3] = 2192458 [4] = 139 [5] = 2 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p10_2 (+)1 (-)0 % [1] p11_2 (+)1 (-)0 % [2] p2_2 (+)5 (-)0 % [3] p3_2 (+)33 (-)0 % [4] p7_2 (+)32 (-)6 % [5] p9_2 (+)6 (-)12 % ------------------ % Total: (+)78 (-)18 % Total number of unit clauses retained: 96 % Number of clauses skipped because of their length: 20523319 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 47267743 % Number of unification failures: 55113988 % Number of unit to unit unification failures: 254 % N literal unification failure due to lookup root_id table: 31678871 % N base clause resolution failure due to lookup table: 27583342 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 17 % N unit clauses dropped because they exceeded max values: 31105699 % N unit clauses dropped because too much nesting: 18474079 % 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: 10 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 262 % Total number of terms of all unit clauses in table: 721 % Max allowed number of states in UCFA: 96000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.36 % Number of symbols (columns) in UCFA: 48 % Profile 2: Number of calls to: % ============================== % PTUnify() = 102381731 % ConstructUnitClause() = 31105787 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 38.81 secs % -------------------------------------------------------- % | | % Inferences per sec: 390642 % | | % -------------------------------------------------------- % Elapsed time: 122 secs % CPU time: 121.10 secs % %------------------------------------------------------------------------------