%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN627-1 : TPTP v5.0.0. Released v2.5.0. % 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 10:55:05 EST 2010 % Result : Unsatisfiable 13.65s % Output : Refutation 13.65s % 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/SystemOnTPTP3571/SYN/SYN627-1+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 = 57] [nf = 0] [nu = 23] [ut = 25] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 1303] [nf = 24] [nu = 695] [ut = 173] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 9585] [nf = 229] [nu = 6297] [ut = 198] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p2_2(x0,x0) % B1: p3_2(x0,x0) % B5: p15_2(c18_0(),c19_0()) % B6: ~p3_2(c23_0(),c24_0()) % B8: p16_5(c17_0(),c20_0(),f9_2(c19_0(),c18_0()),c21_0(),c22_0()) % B14: ~p15_2(x0,c19_0()) | p16_5(c17_0(),c20_0(),f9_2(c19_0(),x0),f14_1(x0),c25_0()) % B17: ~p15_2(x0,c19_0()) | p3_2(c24_0(),f4_2(f7_2(c17_0(),x0),f14_1(x0))) % B21: ~p16_5(c17_0(),c20_0(),x2,x0,c22_0()) | ~p16_5(c17_0(),c20_0(),x2,x1,x3) | p3_2(x0,x1) % B22: ~p2_2(x0,x2) | ~p3_2(x1,x3) | p3_2(f4_2(x0,x1),f4_2(x2,x3)) % B27: ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) % Unit Clauses: % -------------- % U7: < d0 v0 dv0 f2 c4 t6 td3 b nc > p3_2(c23_0(),f4_2(f7_2(c17_0(),c18_0()),c21_0())) % U12: < d1 v0 dv0 f2 c6 t8 td2 > p16_5(c17_0(),c20_0(),f9_2(c19_0(),c18_0()),f14_1(c18_0()),c25_0()) % U15: < d1 v0 dv0 f3 c4 t7 td3 > p3_2(c24_0(),f4_2(f7_2(c17_0(),c18_0()),f14_1(c18_0()))) % U67: < d2 v0 dv0 f2 c4 t6 td3 > p3_2(f4_2(f7_2(c17_0(),c18_0()),c21_0()),c23_0()) % U69: < d2 v0 dv0 f3 c4 t7 td3 > p3_2(f4_2(f7_2(c17_0(),c18_0()),f14_1(c18_0())),c24_0()) % U100: < d2 v0 dv0 f3 c4 t7 td3 > ~p3_2(f4_2(f7_2(c17_0(),c18_0()),f14_1(c18_0())),c23_0()) % U110: < d2 v0 dv0 f1 c2 t3 td2 > p3_2(c21_0(),f14_1(c18_0())) % U4445: < d4 v0 dv0 f3 c4 t7 td3 > p3_2(f4_2(f7_2(c17_0(),c18_0()),f14_1(c18_0())),c23_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U7: % p3_2(c23_0(),f4_2(f7_2(c17_0(),c18_0()),c21_0())) ....... U7 % Derivation of unit clause U12: % p15_2(c18_0(),c19_0()) ....... B5 % ~p15_2(x0,c19_0()) | p16_5(c17_0(),c20_0(),f9_2(c19_0(),x0),f14_1(x0),c25_0()) ....... B14 % p16_5(c17_0(), c20_0(), f9_2(c19_0(), c18_0()), f14_1(c18_0()), c25_0()) ....... R1 [B5:L0, B14:L0] % Derivation of unit clause U15: % p15_2(c18_0(),c19_0()) ....... B5 % ~p15_2(x0,c19_0()) | p3_2(c24_0(),f4_2(f7_2(c17_0(),x0),f14_1(x0))) ....... B17 % p3_2(c24_0(), f4_2(f7_2(c17_0(), c18_0()), f14_1(c18_0()))) ....... R1 [B5:L0, B17:L0] % Derivation of unit clause U67: % p3_2(x0,x0) ....... B1 % ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B27 % ~p3_2(x0, x1) | p3_2(x1, x0) ....... R1 [B1:L0, B27:L0] % p3_2(c23_0(),f4_2(f7_2(c17_0(),c18_0()),c21_0())) ....... U7 % p3_2(f4_2(f7_2(c17_0(), c18_0()), c21_0()), c23_0()) ....... R2 [R1:L0, U7:L0] % Derivation of unit clause U69: % p3_2(x0,x0) ....... B1 % ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B27 % ~p3_2(x0, x1) | p3_2(x1, x0) ....... R1 [B1:L0, B27:L0] % p3_2(c24_0(),f4_2(f7_2(c17_0(),c18_0()),f14_1(c18_0()))) ....... U15 % p3_2(f4_2(f7_2(c17_0(), c18_0()), f14_1(c18_0())), c24_0()) ....... R2 [R1:L0, U15:L0] % Derivation of unit clause U100: % ~p3_2(c23_0(),c24_0()) ....... B6 % ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B27 % ~p3_2(x0, c24_0()) | ~p3_2(x0, c23_0()) ....... R1 [B6:L0, B27:L2] % p3_2(f4_2(f7_2(c17_0(),c18_0()),f14_1(c18_0())),c24_0()) ....... U69 % ~p3_2(f4_2(f7_2(c17_0(), c18_0()), f14_1(c18_0())), c23_0()) ....... R2 [R1:L0, U69:L0] % Derivation of unit clause U110: % p16_5(c17_0(),c20_0(),f9_2(c19_0(),c18_0()),c21_0(),c22_0()) ....... B8 % ~p16_5(c17_0(),c20_0(),x2,x0,c22_0()) | ~p16_5(c17_0(),c20_0(),x2,x1,x3) | p3_2(x0,x1) ....... B21 % ~p16_5(c17_0(), c20_0(), f9_2(c19_0(), c18_0()), x0, x1) | p3_2(c21_0(), x0) ....... R1 [B8:L0, B21:L0] % p16_5(c17_0(),c20_0(),f9_2(c19_0(),c18_0()),f14_1(c18_0()),c25_0()) ....... U12 % p3_2(c21_0(), f14_1(c18_0())) ....... R2 [R1:L0, U12:L0] % Derivation of unit clause U4445: % p2_2(x0,x0) ....... B0 % ~p2_2(x0,x2) | ~p3_2(x1,x3) | p3_2(f4_2(x0,x1),f4_2(x2,x3)) ....... B22 % ~p3_2(x0, x1) | p3_2(f4_2(x2, x0), f4_2(x2, x1)) ....... R1 [B0:L0, B22:L0] % ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B27 % ~p3_2(x0, x1) | ~p3_2(f4_2(x2, x0), x3) | p3_2(f4_2(x2, x1), x3) ....... R2 [R1:L1, B27:L1] % p3_2(c21_0(),f14_1(c18_0())) ....... U110 % ~p3_2(f4_2(x0, c21_0()), x1) | p3_2(f4_2(x0, f14_1(c18_0())), x1) ....... R3 [R2:L0, U110:L0] % p3_2(f4_2(f7_2(c17_0(),c18_0()),c21_0()),c23_0()) ....... U67 % p3_2(f4_2(f7_2(c17_0(), c18_0()), f14_1(c18_0())), c23_0()) ....... R4 [R3:L0, U67:L0] % Derivation of the empty clause: % p3_2(f4_2(f7_2(c17_0(),c18_0()),f14_1(c18_0())),c23_0()) ....... U4445 % ~p3_2(f4_2(f7_2(c17_0(),c18_0()),f14_1(c18_0())),c23_0()) ....... U100 % [] ....... R1 [U4445:L0, U100:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 373189 % resolvents: 372954 factors: 235 % Number of unit clauses generated: 361246 % % unit clauses generated to total clauses generated: 96.80 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 10 [1] = 15 [2] = 148 [3] = 25 % [4] = 4248 % Total = 4446 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 361246 [2] = 11495 [3] = 448 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p10_2 (+)50 (-)0 % [1] p15_2 (+)1 (-)0 % [2] p2_2 (+)2 (-)0 % [3] p3_2 (+)4375 (-)5 % [4] p5_2 (+)1 (-)0 % [5] p6_2 (+)1 (-)0 % [6] p8_2 (+)8 (-)0 % [7] p16_5 (+)3 (-)0 % ------------------ % Total: (+)4441 (-)5 % Total number of unit clauses retained: 4446 % Number of clauses skipped because of their length: 86776 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 373203 % Number of unification failures: 13555509 % Number of unit to unit unification failures: 21872 % N literal unification failure due to lookup root_id table: 89640 % N base clause resolution failure due to lookup table: 32743 % N UC-BCL resolution dropped due to lookup table: 3947 % Max entries in substitution set: 17 % N unit clauses dropped because they exceeded max values: 355610 % N unit clauses dropped because too much nesting: 1310 % 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: 52 % Max term depth in a unit clause: 10 % Number of states in UCFA table: 27741 % Total number of terms of all unit clauses in table: 153411 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.05 % Ratio n states used/total unit clauses terms: 0.18 % Number of symbols (columns) in UCFA: 58 % Profile 2: Number of calls to: % ============================== % PTUnify() = 13928712 % ConstructUnitClause() = 360046 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 1.29 secs % -------------------------------------------------------- % | | % Inferences per sec: 28707 % | | % -------------------------------------------------------- % Elapsed time: 14 secs % CPU time: 13.63 secs % %------------------------------------------------------------------------------