%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN580-1 : 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 10:31:30 EST 2010 % Result : Unsatisfiable 31.02s % Output : Refutation 31.02s % 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/SystemOnTPTP1713/SYN/SYN580-1+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 = 50] [nf = 0] [nu = 27] [ut = 23] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 469] [nf = 14] [nu = 266] [ut = 48] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 4732] [nf = 114] [nu = 3163] [ut = 56] % Looking for a proof at depth = 4 ... % t = 1 secs [nr = 40419] [nf = 1190] [nu = 27054] [ut = 65] % Looking for a proof at depth = 5 ... % t = 1 secs [nr = 377414] [nf = 12875] [nu = 237256] [ut = 88] % Looking for a proof at depth = 6 ... % t = 10 secs [nr = 3328966] [nf = 117654] [nu = 1963816] [ut = 104] % Looking for a proof at depth = 7 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 32 secs [nr = 11136281] [nf = 435821] [nu = 6328327] [ut = 123] % Looking for a proof at depth = 2 ... % t = 32 secs [nr = 11136905] [nf = 435835] [nu = 6328685] [ut = 123] % Looking for a proof at depth = 3 ... % t = 32 secs [nr = 11141678] [nf = 436007] [nu = 6331895] [ut = 123] % 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: p4_2(x0,x0) % B3: p11_2(c15_0(),c16_0()) % B6: p2_2(c14_0(),f3_1(c15_0())) % B12: ~p2_2(x2,x1) | ~p2_2(x2,x0) | p2_2(x0,x1) % B15: ~p11_2(x1,c16_0()) | ~p9_2(c12_0(),x0) | p8_3(c12_0(),x0,x1) % B22: ~p2_2(x3,x2) | ~p4_2(x4,x1) | ~p7_2(x5,x0) | ~p8_3(x5,x4,x3) | p8_3(x0,x1,x2) % Unit Clauses: % -------------- % U2: < d0 v2 dv1 f0 c0 t2 td1 b nc > p7_2(x0,x0) % U4: < d0 v0 dv0 f0 c2 t2 td1 b nc > p9_2(c12_0(),c13_0()) % U5: < d0 v0 dv0 f0 c3 t3 td1 b nc > ~p8_3(c12_0(),c13_0(),c14_0()) % U7: < d0 v2 dv1 f0 c0 t2 td1 b nc > p2_2(x0,x0) % U32: < d2 v0 dv0 f1 c2 t3 td2 > p2_2(f3_1(c15_0()),c14_0()) % U88: < d6 v0 dv0 f1 c3 t4 td2 > p8_3(c12_0(),c13_0(),f3_1(c15_0())) % U123: < d4 v0 dv0 f0 c3 t3 td1 > p8_3(c12_0(),c13_0(),c14_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % p7_2(x0,x0) ....... U2 % Derivation of unit clause U4: % p9_2(c12_0(),c13_0()) ....... U4 % Derivation of unit clause U5: % ~p8_3(c12_0(),c13_0(),c14_0()) ....... U5 % Derivation of unit clause U7: % p2_2(x0,x0) ....... U7 % Derivation of unit clause U32: % p2_2(c14_0(),f3_1(c15_0())) ....... B6 % ~p2_2(x2,x1) | ~p2_2(x2,x0) | p2_2(x0,x1) ....... B12 % ~p2_2(c14_0(), x0) | p2_2(f3_1(c15_0()), x0) ....... R1 [B6:L0, B12:L1] % p2_2(x0,x0) ....... U7 % p2_2(f3_1(c15_0()), c14_0()) ....... R2 [R1:L0, U7:L0] % Derivation of unit clause U88: % p11_2(c15_0(),c16_0()) ....... B3 % ~p11_2(x1,c16_0()) | ~p9_2(c12_0(),x0) | p8_3(c12_0(),x0,x1) ....... B15 % ~p9_2(c12_0(), x0) | p8_3(c12_0(), x0, c15_0()) ....... R1 [B3:L0, B15:L0] % ~p9_2(c12_0(),x1) | p9_2(c12_0(),f6_1(x0)) | p8_3(c12_0(),x1,f3_1(x0)) ....... B17 % p8_3(c12_0(), f6_1(x0), c15_0()) | ~p9_2(c12_0(), x1) | p8_3(c12_0(), x1, f3_1(x0)) ....... R2 [R1:L0, B17:L1] % p9_2(c12_0(),c13_0()) ....... U4 % p8_3(c12_0(), f6_1(x0), c15_0()) | p8_3(c12_0(), c13_0(), f3_1(x0)) ....... R3 [R2:L1, U4:L0] % ~p9_2(c12_0(),x0) | ~p8_3(c12_0(),f6_1(x1),x1) | p8_3(c12_0(),x0,f3_1(x1)) ....... B18 % p8_3(c12_0(), c13_0(), f3_1(c15_0())) | ~p9_2(c12_0(), x0) | p8_3(c12_0(), x0, f3_1(c15_0())) ....... R4 [R3:L0, B18:L1] % ~p9_2(c12_0(), c13_0()) | p8_3(c12_0(), c13_0(), f3_1(c15_0())) ....... R5 [R4:L0, R4:L2] % p9_2(c12_0(),c13_0()) ....... U4 % p8_3(c12_0(), c13_0(), f3_1(c15_0())) ....... R6 [R5:L0, U4:L0] % Derivation of unit clause U123: % p4_2(x0,x0) ....... B1 % ~p2_2(x3,x2) | ~p4_2(x4,x1) | ~p7_2(x5,x0) | ~p8_3(x5,x4,x3) | p8_3(x0,x1,x2) ....... B22 % ~p2_2(x0, x1) | ~p7_2(x2, x3) | ~p8_3(x2, x4, x0) | p8_3(x3, x4, x1) ....... R1 [B1:L0, B22:L1] % p2_2(f3_1(c15_0()),c14_0()) ....... U32 % ~p7_2(x0, x1) | ~p8_3(x0, x2, f3_1(c15_0())) | p8_3(x1, x2, c14_0()) ....... R2 [R1:L0, U32:L0] % p7_2(x0,x0) ....... U2 % ~p8_3(x0, x1, f3_1(c15_0())) | p8_3(x0, x1, c14_0()) ....... R3 [R2:L0, U2:L0] % p8_3(c12_0(),c13_0(),f3_1(c15_0())) ....... U88 % p8_3(c12_0(), c13_0(), c14_0()) ....... R4 [R3:L0, U88:L0] % Derivation of the empty clause: % p8_3(c12_0(),c13_0(),c14_0()) ....... U123 % ~p8_3(c12_0(),c13_0(),c14_0()) ....... U5 % [] ....... R1 [U123:L0, U5:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 11581697 % resolvents: 11145624 factors: 436073 % Number of unit clauses generated: 6334814 % % unit clauses generated to total clauses generated: 54.70 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 8 [1] = 15 [2] = 25 [3] = 8 % [4] = 10 [5] = 23 [6] = 16 [7] = 19 % Total = 124 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 6334814 [2] = 4522791 [3] = 723838 [4] = 251 [5] = 3 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p10_2 (+)1 (-)0 % [1] p11_2 (+)1 (-)7 % [2] p2_2 (+)17 (-)14 % [3] p4_2 (+)25 (-)0 % [4] p7_2 (+)1 (-)0 % [5] p9_2 (+)11 (-)0 % [6] p8_3 (+)41 (-)6 % ------------------ % Total: (+)97 (-)27 % Total number of unit clauses retained: 124 % Number of clauses skipped because of their length: 13729313 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 11581709 % Number of unification failures: 35648186 % Number of unit to unit unification failures: 485 % N literal unification failure due to lookup root_id table: 13309159 % N base clause resolution failure due to lookup table: 4731378 % N UC-BCL resolution dropped due to lookup table: 225273 % Max entries in substitution set: 14 % N unit clauses dropped because they exceeded max values: 5530092 % N unit clauses dropped because too much nesting: 2901123 % 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: 208 % Total number of terms of all unit clauses in table: 652 % 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: 0.32 % Number of symbols (columns) in UCFA: 49 % Profile 2: Number of calls to: % ============================== % PTUnify() = 47229895 % ConstructUnitClause() = 5530208 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 6.79 secs % -------------------------------------------------------- % | | % Inferences per sec: 373603 % | | % -------------------------------------------------------- % Elapsed time: 32 secs % CPU time: 31.02 secs % %------------------------------------------------------------------------------