%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN563-1 : 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 10:24:06 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/SystemOnTPTP24561/SYN/SYN563-1+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 = 110] [nf = 0] [nu = 87] [ut = 57] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 1585] [nf = 18] [nu = 1118] [ut = 152] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p6_2(x0,x0) % B1: p5_2(f3_1(f3_1(x0)),f3_1(f4_1(x0))) % B3: ~p6_2(f4_1(c7_0()),f3_1(f4_1(c8_0()))) % B4: p2_2(f4_1(c7_0()),f4_1(c8_0())) % B5: p2_2(x0,x0) % B10: ~p2_2(x0,x1) | p2_2(f3_1(x0),f3_1(x1)) % B11: ~p6_2(c7_0(),x0) | p6_2(c7_0(),f3_1(x0)) % B12: ~p2_2(x2,x1) | ~p2_2(x2,x0) | p2_2(x0,x1) % B13: ~p5_2(x2,x1) | ~p6_2(x0,x2) | p5_2(x0,x1) % B14: ~p6_2(x2,x1) | ~p6_2(x0,x2) | p6_2(x0,x1) % B15: ~p2_2(x3,x1) | ~p2_2(x2,x0) | ~p6_2(x2,x3) | p6_2(x0,x1) % Unit Clauses: % -------------- % U5: < d0 v2 dv1 f0 c0 t2 td1 b nc > p2_2(x0,x0) % U7: < d1 v0 dv0 f1 c2 t3 td2 > p6_2(c7_0(),f3_1(c7_0())) % U15: < d1 v0 dv0 f4 c2 t6 td3 > p2_2(f3_1(f4_1(c7_0())),f3_1(f4_1(c8_0()))) % U51: < d1 v0 dv0 f2 c2 t4 td3 > p6_2(c7_0(),f3_1(f3_1(c7_0()))) % U57: < d2 v0 dv0 f2 c2 t4 td3 > p5_2(c7_0(),f3_1(f4_1(c7_0()))) % U68: < d2 v0 dv0 f4 c2 t6 td3 > p2_2(f3_1(f4_1(c8_0())),f3_1(f4_1(c7_0()))) % U250: < d3 v0 dv0 f4 c2 t6 td3 > p6_2(f3_1(f4_1(c7_0())),f3_1(f4_1(c8_0()))) % U424: < d3 v0 dv0 f2 c2 t4 td3 > ~p5_2(c7_0(),f3_1(f4_1(c7_0()))) % --------------- Start of Proof --------------- % Derivation of unit clause U5: % p2_2(x0,x0) ....... U5 % Derivation of unit clause U7: % p6_2(x0,x0) ....... B0 % ~p6_2(c7_0(),x0) | p6_2(c7_0(),f3_1(x0)) ....... B11 % p6_2(c7_0(), f3_1(c7_0())) ....... R1 [B0:L0, B11:L0] % Derivation of unit clause U15: % p2_2(f4_1(c7_0()),f4_1(c8_0())) ....... B4 % ~p2_2(x0,x1) | p2_2(f3_1(x0),f3_1(x1)) ....... B10 % p2_2(f3_1(f4_1(c7_0())), f3_1(f4_1(c8_0()))) ....... R1 [B4:L0, B10:L0] % Derivation of unit clause U51: % ~p6_2(c7_0(),x0) | p6_2(c7_0(),f3_1(x0)) ....... B11 % p6_2(c7_0(),f3_1(c7_0())) ....... U7 % p6_2(c7_0(), f3_1(f3_1(c7_0()))) ....... R1 [B11:L0, U7:L0] % Derivation of unit clause U57: % p5_2(f3_1(f3_1(x0)),f3_1(f4_1(x0))) ....... B1 % ~p5_2(x2,x1) | ~p6_2(x0,x2) | p5_2(x0,x1) ....... B13 % ~p6_2(x0, f3_1(f3_1(x1))) | p5_2(x0, f3_1(f4_1(x1))) ....... R1 [B1:L0, B13:L0] % p6_2(c7_0(),f3_1(f3_1(c7_0()))) ....... U51 % p5_2(c7_0(), f3_1(f4_1(c7_0()))) ....... R2 [R1:L0, U51:L0] % Derivation of unit clause U68: % p2_2(x0,x0) ....... B5 % ~p2_2(x2,x1) | ~p2_2(x2,x0) | p2_2(x0,x1) ....... B12 % ~p2_2(x0, x1) | p2_2(x1, x0) ....... R1 [B5:L0, B12:L0] % p2_2(f3_1(f4_1(c7_0())),f3_1(f4_1(c8_0()))) ....... U15 % p2_2(f3_1(f4_1(c8_0())), f3_1(f4_1(c7_0()))) ....... R2 [R1:L0, U15:L0] % Derivation of unit clause U250: % p6_2(x0,x0) ....... B0 % ~p2_2(x3,x1) | ~p2_2(x2,x0) | ~p6_2(x2,x3) | p6_2(x0,x1) ....... B15 % ~p2_2(x0, x1) | ~p2_2(x0, x2) | p6_2(x2, x1) ....... R1 [B0:L0, B15:L2] % p2_2(x0,x0) ....... U5 % ~p2_2(x0, x1) | p6_2(x1, x0) ....... R2 [R1:L0, U5:L0] % p2_2(f3_1(f4_1(c8_0())),f3_1(f4_1(c7_0()))) ....... U68 % p6_2(f3_1(f4_1(c7_0())), f3_1(f4_1(c8_0()))) ....... R3 [R2:L0, U68:L0] % Derivation of unit clause U424: % ~p6_2(f4_1(c7_0()),f3_1(f4_1(c8_0()))) ....... B3 % ~p6_2(x2,x1) | ~p6_2(x0,x2) | p6_2(x0,x1) ....... B14 % ~p6_2(x0, f3_1(f4_1(c8_0()))) | ~p6_2(f4_1(c7_0()), x0) ....... R1 [B3:L0, B14:L2] % ~p5_2(x0,x1) | p6_2(f4_1(x0),x1) ....... B7 % ~p6_2(x0, f3_1(f4_1(c8_0()))) | ~p5_2(c7_0(), x0) ....... R2 [R1:L1, B7:L1] % p6_2(f3_1(f4_1(c7_0())),f3_1(f4_1(c8_0()))) ....... U250 % ~p5_2(c7_0(), f3_1(f4_1(c7_0()))) ....... R3 [R2:L0, U250:L0] % Derivation of the empty clause: % ~p5_2(c7_0(),f3_1(f4_1(c7_0()))) ....... U424 % p5_2(c7_0(),f3_1(f4_1(c7_0()))) ....... U57 % [] ....... R1 [U424:L0, U57:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 6483 % resolvents: 6444 factors: 39 % Number of unit clauses generated: 4720 % % unit clauses generated to total clauses generated: 72.81 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 6 [1] = 51 [2] = 95 [3] = 273 % Total = 425 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 4720 [2] = 1700 [3] = 63 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p2_2 (+)91 (-)79 % [1] p5_2 (+)34 (-)43 % [2] p6_2 (+)146 (-)32 % ------------------ % Total: (+)271 (-)154 % Total number of unit clauses retained: 425 % Number of clauses skipped because of their length: 1524 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 6496 % Number of unification failures: 63225 % Number of unit to unit unification failures: 13292 % N literal unification failure due to lookup root_id table: 9135 % N base clause resolution failure due to lookup table: 525 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 6 % N unit clauses dropped because they exceeded max values: 3891 % N unit clauses dropped because too much nesting: 400 % 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: 987 % Total number of terms of all unit clauses in table: 3062 % Max allowed number of states in UCFA: 96000 % Ratio n states used/total allowed states: 0.01 % Ratio n states used/total unit clauses terms: 0.32 % Number of symbols (columns) in UCFA: 41 % Profile 2: Number of calls to: % ============================== % PTUnify() = 69721 % ConstructUnitClause() = 4310 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.02 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.18 secs % %------------------------------------------------------------------------------