%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN566-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art07.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 10:25:25 EST 2010 % Result : Unsatisfiable 0.20s % Output : Refutation 0.20s % 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/SystemOnTPTP1047/SYN/SYN566-1+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 = 78] [nf = 0] [nu = 58] [ut = 36] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 913] [nf = 14] [nu = 651] [ut = 70] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 15068] [nf = 127] [nu = 10608] [ut = 97] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p3_2(x0,x0) % B1: p7_2(x0,x0) % B6: p2_2(c14_0(),f6_1(c15_0())) % B10: ~p2_2(x0,x1) | p3_2(f4_1(x0),f4_1(x1)) % B17: ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p8_2(x2,x3) | p8_2(x0,x1) % B18: ~p10_2(x0,c11_0()) | ~p2_2(x2,f5_1(x0)) | ~p3_2(x1,f4_1(x2)) | ~p8_2(c12_0(),x1) % Unit Clauses: % -------------- % U1: < d0 v2 dv1 f0 c0 t2 td1 b nc > p7_2(x0,x0) % U3: < d0 v0 dv0 f0 c2 t2 td1 b nc > p10_2(c15_0(),c11_0()) % U4: < d0 v0 dv0 f0 c2 t2 td1 b nc > p8_2(c12_0(),c13_0()) % U5: < d0 v0 dv0 f1 c2 t3 td2 b nc > p3_2(c13_0(),f4_1(c14_0())) % U7: < d0 v2 dv1 f0 c0 t2 td1 b nc > p2_2(x0,x0) % U10: < d1 v0 dv0 f3 c2 t5 td3 > p3_2(f4_1(c14_0()),f4_1(f6_1(c15_0()))) % U74: < d3 v0 dv0 f2 c2 t4 td3 > ~p8_2(c12_0(),f4_1(f5_1(c15_0()))) % U75: < d3 v0 dv0 f1 c2 t3 td2 > p8_2(c12_0(),f4_1(c14_0())) % U76: < d3 v0 dv0 f2 c2 t4 td3 > p8_2(c12_0(),f4_1(f6_1(c15_0()))) % U97: < d4 v0 dv0 f2 c2 t4 td3 > p8_2(c12_0(),f4_1(f5_1(c15_0()))) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % p7_2(x0,x0) ....... U1 % Derivation of unit clause U3: % p10_2(c15_0(),c11_0()) ....... U3 % Derivation of unit clause U4: % p8_2(c12_0(),c13_0()) ....... U4 % Derivation of unit clause U5: % p3_2(c13_0(),f4_1(c14_0())) ....... U5 % Derivation of unit clause U7: % p2_2(x0,x0) ....... U7 % Derivation of unit clause U10: % p2_2(c14_0(),f6_1(c15_0())) ....... B6 % ~p2_2(x0,x1) | p3_2(f4_1(x0),f4_1(x1)) ....... B10 % p3_2(f4_1(c14_0()), f4_1(f6_1(c15_0()))) ....... R1 [B6:L0, B10:L0] % Derivation of unit clause U74: % p3_2(x0,x0) ....... B0 % ~p10_2(x0,c11_0()) | ~p2_2(x2,f5_1(x0)) | ~p3_2(x1,f4_1(x2)) | ~p8_2(c12_0(),x1) ....... B18 % ~p10_2(x0, c11_0()) | ~p2_2(x1, f5_1(x0)) | ~p8_2(c12_0(), f4_1(x1)) ....... R1 [B0:L0, B18:L2] % p10_2(c15_0(),c11_0()) ....... U3 % ~p2_2(x0, f5_1(c15_0())) | ~p8_2(c12_0(), f4_1(x0)) ....... R2 [R1:L0, U3:L0] % p2_2(x0,x0) ....... U7 % ~p8_2(c12_0(), f4_1(f5_1(c15_0()))) ....... R3 [R2:L0, U7:L0] % Derivation of unit clause U75: % p7_2(x0,x0) ....... B1 % ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p8_2(x2,x3) | p8_2(x0,x1) ....... B17 % ~p3_2(x0, x1) | ~p8_2(x2, x0) | p8_2(x2, x1) ....... R1 [B1:L0, B17:L1] % p3_2(c13_0(),f4_1(c14_0())) ....... U5 % ~p8_2(x0, c13_0()) | p8_2(x0, f4_1(c14_0())) ....... R2 [R1:L0, U5:L0] % p8_2(c12_0(),c13_0()) ....... U4 % p8_2(c12_0(), f4_1(c14_0())) ....... R3 [R2:L0, U4:L0] % Derivation of unit clause U76: % p7_2(x0,x0) ....... B1 % ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p8_2(x2,x3) | p8_2(x0,x1) ....... B17 % ~p3_2(x0, x1) | ~p8_2(x2, x0) | p8_2(x2, x1) ....... R1 [B1:L0, B17:L1] % p3_2(f4_1(c14_0()),f4_1(f6_1(c15_0()))) ....... U10 % ~p8_2(x0, f4_1(c14_0())) | p8_2(x0, f4_1(f6_1(c15_0()))) ....... R2 [R1:L0, U10:L0] % p8_2(c12_0(),f4_1(c14_0())) ....... U75 % p8_2(c12_0(), f4_1(f6_1(c15_0()))) ....... R3 [R2:L0, U75:L0] % Derivation of unit clause U97: % p3_2(x0,x0) ....... B0 % ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p8_2(x2,x3) | p8_2(x0,x1) ....... B17 % ~p7_2(x0, x1) | ~p8_2(x0, x2) | p8_2(x1, x2) ....... R1 [B0:L0, B17:L0] % p7_2(x0,x0) ....... U1 % ~p8_2(x0, x1) | p8_2(x0, x1) ....... R2 [R1:L0, U1:L0] % ~p8_2(x0,f4_1(f6_1(x1))) | p8_2(x0,f4_1(f5_1(x1))) ....... B11 % ~p8_2(x0, f4_1(f6_1(x1))) | p8_2(x0, f4_1(f5_1(x1))) ....... R3 [R2:L1, B11:L0] % p8_2(c12_0(),f4_1(f6_1(c15_0()))) ....... U76 % p8_2(c12_0(), f4_1(f5_1(c15_0()))) ....... R4 [R3:L0, U76:L0] % Derivation of the empty clause: % p8_2(c12_0(),f4_1(f5_1(c15_0()))) ....... U97 % ~p8_2(c12_0(),f4_1(f5_1(c15_0()))) ....... U74 % [] ....... R1 [U97:L0, U74:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 19747 % resolvents: 19608 factors: 139 % Number of unit clauses generated: 14341 % % unit clauses generated to total clauses generated: 72.62 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 8 [1] = 28 [2] = 34 [3] = 27 % [4] = 1 % Total = 98 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 14341 [2] = 5048 [3] = 358 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p10_2 (+)1 (-)0 % [1] p2_2 (+)51 (-)4 % [2] p3_2 (+)29 (-)6 % [3] p7_2 (+)1 (-)0 % [4] p8_2 (+)4 (-)1 % [5] p9_2 (+)1 (-)0 % ------------------ % Total: (+)87 (-)11 % Total number of unit clauses retained: 98 % Number of clauses skipped because of their length: 6044 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 19761 % Number of unification failures: 51120 % Number of unit to unit unification failures: 381 % N literal unification failure due to lookup root_id table: 9799 % N base clause resolution failure due to lookup table: 4748 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 8 % N unit clauses dropped because they exceeded max values: 13063 % N unit clauses dropped because too much nesting: 1568 % 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: 8 % Max term depth in a unit clause: 4 % Number of states in UCFA table: 261 % Total number of terms of all unit clauses in table: 567 % 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: 0.46 % Number of symbols (columns) in UCFA: 48 % Profile 2: Number of calls to: % ============================== % PTUnify() = 70881 % ConstructUnitClause() = 13153 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.03 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.20 secs % %------------------------------------------------------------------------------