%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN590-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art04.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 10:34:09 EST 2010 % Result : Unsatisfiable 0.18s % Output : Refutation 0.18s % 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/SystemOnTPTP14437/SYN/SYN590-1+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 = 158] [nf = 0] [nu = 122] [ut = 69] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 1079] [nf = 17] [nu = 666] [ut = 108] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p3_2(x0,x0) % B4: p11_1(c16_0()) % B14: ~p10_2(f6_1(x0),f6_1(x1)) | p12_2(x0,x1) % B15: ~p11_1(x0) | p11_1(f9_1(x0)) % B16: ~p11_1(x0) | p10_2(f4_1(f9_1(x0)),f4_1(x0)) % B19: ~p11_1(x0) | p3_2(f4_1(x0),f6_1(f8_1(x0))) % B24: ~p11_1(x0) | ~p12_2(x1,c15_0()) | ~p3_2(f4_1(x0),f6_1(x1)) % B25: ~p10_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p10_2(x0,x1) % Unit Clauses: % -------------- % U6: < d0 v0 dv0 f2 c2 t4 td2 b nc > p3_2(f4_1(c16_0()),f6_1(c15_0())) % U18: < d1 v0 dv0 f1 c1 t2 td2 > p11_1(f9_1(c16_0())) % U19: < d1 v0 dv0 f3 c2 t5 td3 > p10_2(f4_1(f9_1(c16_0())),f4_1(c16_0())) % U65: < d1 v0 dv0 f5 c2 t7 td4 > p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0())))) % U110: < d3 v0 dv0 f4 c2 t6 td4 > p10_2(f6_1(f8_1(f9_1(c16_0()))),f4_1(c16_0())) % U136: < d3 v0 dv0 f4 c2 t6 td4 > p10_2(f6_1(f8_1(f9_1(c16_0()))),f6_1(c15_0())) % U258: < d3 v0 dv0 f5 c2 t7 td4 > ~p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0())))) % --------------- Start of Proof --------------- % Derivation of unit clause U6: % p3_2(f4_1(c16_0()),f6_1(c15_0())) ....... U6 % Derivation of unit clause U18: % p11_1(c16_0()) ....... B4 % ~p11_1(x0) | p11_1(f9_1(x0)) ....... B15 % p11_1(f9_1(c16_0())) ....... R1 [B4:L0, B15:L0] % Derivation of unit clause U19: % p11_1(c16_0()) ....... B4 % ~p11_1(x0) | p10_2(f4_1(f9_1(x0)),f4_1(x0)) ....... B16 % p10_2(f4_1(f9_1(c16_0())), f4_1(c16_0())) ....... R1 [B4:L0, B16:L0] % Derivation of unit clause U65: % ~p11_1(x0) | p3_2(f4_1(x0),f6_1(f8_1(x0))) ....... B19 % p11_1(f9_1(c16_0())) ....... U18 % p3_2(f4_1(f9_1(c16_0())), f6_1(f8_1(f9_1(c16_0())))) ....... R1 [B19:L0, U18:L0] % Derivation of unit clause U110: % p3_2(x0,x0) ....... B0 % ~p10_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p10_2(x0,x1) ....... B25 % ~p10_2(x0, x1) | ~p3_2(x0, x2) | p10_2(x2, x1) ....... R1 [B0:L0, B25:L1] % p10_2(f4_1(f9_1(c16_0())),f4_1(c16_0())) ....... U19 % ~p3_2(f4_1(f9_1(c16_0())), x0) | p10_2(x0, f4_1(c16_0())) ....... R2 [R1:L0, U19:L0] % p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0())))) ....... U65 % p10_2(f6_1(f8_1(f9_1(c16_0()))), f4_1(c16_0())) ....... R3 [R2:L0, U65:L0] % Derivation of unit clause U136: % p3_2(x0,x0) ....... B0 % ~p10_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p10_2(x0,x1) ....... B25 % ~p10_2(x0, x1) | ~p3_2(x1, x2) | p10_2(x0, x2) ....... R1 [B0:L0, B25:L2] % p10_2(f6_1(f8_1(f9_1(c16_0()))),f4_1(c16_0())) ....... U110 % ~p3_2(f4_1(c16_0()), x0) | p10_2(f6_1(f8_1(f9_1(c16_0()))), x0) ....... R2 [R1:L0, U110:L0] % p3_2(f4_1(c16_0()),f6_1(c15_0())) ....... U6 % p10_2(f6_1(f8_1(f9_1(c16_0()))), f6_1(c15_0())) ....... R3 [R2:L0, U6:L0] % Derivation of unit clause U258: % ~p10_2(f6_1(x0),f6_1(x1)) | p12_2(x0,x1) ....... B14 % ~p11_1(x0) | ~p12_2(x1,c15_0()) | ~p3_2(f4_1(x0),f6_1(x1)) ....... B24 % ~p10_2(f6_1(x0), f6_1(c15_0())) | ~p11_1(x1) | ~p3_2(f4_1(x1), f6_1(x0)) ....... R1 [B14:L1, B24:L1] % p10_2(f6_1(f8_1(f9_1(c16_0()))),f6_1(c15_0())) ....... U136 % ~p11_1(x0) | ~p3_2(f4_1(x0), f6_1(f8_1(f9_1(c16_0())))) ....... R2 [R1:L0, U136:L0] % p11_1(f9_1(c16_0())) ....... U18 % ~p3_2(f4_1(f9_1(c16_0())), f6_1(f8_1(f9_1(c16_0())))) ....... R3 [R2:L0, U18:L0] % Derivation of the empty clause: % ~p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0())))) ....... U258 % p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0())))) ....... U65 % [] ....... R1 [U258:L0, U65:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 8042 % resolvents: 7942 factors: 100 % Number of unit clauses generated: 4818 % % unit clauses generated to total clauses generated: 59.91 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 8 [1] = 61 [2] = 39 [3] = 151 % Total = 259 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 4818 [2] = 2967 [3] = 257 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p11_1 (+)15 (-)0 % [1] p10_2 (+)54 (-)17 % [2] p12_2 (+)19 (-)5 % [3] p2_2 (+)4 (-)6 % [4] p3_2 (+)53 (-)56 % [5] p5_2 (+)10 (-)20 % ------------------ % Total: (+)155 (-)104 % Total number of unit clauses retained: 259 % Number of clauses skipped because of their length: 5203 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 8054 % Number of unification failures: 41148 % Number of unit to unit unification failures: 4167 % N literal unification failure due to lookup root_id table: 17992 % N base clause resolution failure due to lookup table: 12192 % N UC-BCL resolution dropped due to lookup table: 89 % Max entries in substitution set: 6 % N unit clauses dropped because they exceeded max values: 4080 % N unit clauses dropped because too much nesting: 195 % 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: 9 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 498 % Total number of terms of all unit clauses in table: 1441 % Max allowed number of states in UCFA: 88000 % Ratio n states used/total allowed states: 0.01 % Ratio n states used/total unit clauses terms: 0.35 % Number of symbols (columns) in UCFA: 51 % Profile 2: Number of calls to: % ============================== % PTUnify() = 49202 % ConstructUnitClause() = 4331 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.03 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.18 secs % %------------------------------------------------------------------------------