%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN070-1 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art09.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 08:28:36 EST 2010 % Result : Unsatisfiable 31.03s % Output : Refutation 31.03s % 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/SystemOnTPTP31770/SYN/SYN070-1+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 = 8] [nf = 0] [nu = 0] [ut = 2] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 48] [nf = 0] [nu = 8] [ut = 6] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 120] [nf = 0] [nu = 16] [ut = 6] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 336] [nf = 0] [nu = 88] [ut = 10] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 840] [nf = 16] [nu = 160] [ut = 10] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 2868] [nf = 32] [nu = 994] [ut = 14] % Looking for a proof at depth = 7 ... % t = 0 secs [nr = 8668] [nf = 288] [nu = 1850] [ut = 14] % Looking for a proof at depth = 8 ... % t = 1 secs [nr = 36906] [nf = 544] [nu = 13976] [ut = 16] % Looking for a proof at depth = 9 ... % t = 1 secs [nr = 120890] [nf = 4472] [nu = 26240] [ut = 16] % Looking for a proof at depth = 10 ... % t = 2 secs [nr = 524674] [nf = 8400] [nu = 199728] [ut = 16] % Looking for a proof at depth = 11 ... % t = 4 secs [nr = 1724994] [nf = 67128] [nu = 373216] [ut = 16] % Looking for a proof at depth = 12 ... % t = 19 secs [nr = 7546738] [nf = 125856] [nu = 2879568] [ut = 16] % Looking for a proof at depth = 13 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 32 secs [nr = 14967726] [nf = 494136] [nu = 3952037] [ut = 16] % Looking for a proof at depth = 2 ... % t = 32 secs [nr = 14967828] [nf = 494136] [nu = 3952047] [ut = 17] % Looking for a proof at depth = 3 ... % t = 32 secs [nr = 14968050] [nf = 494158] [nu = 3952059] [ut = 18] % Looking for a proof at depth = 4 ... % t = 32 secs [nr = 14972045] [nf = 494189] [nu = 3953587] [ut = 31] % Looking for a proof at depth = 5 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: big_f_1(b_0()) % B2: ~big_f_1(x0) | big_f_1(a_0()) | big_g_1(x0) % B3: ~big_f_1(x0) | ~big_g_1(a_0()) | big_g_1(x0) % B7: ~big_f_1(x1) | ~big_f_1(x0) | ~big_h_2(x0,x1) | ~big_j_2(x1,x0) % B8: ~big_f_1(x1) | ~big_f_1(x0) | big_g_1(x0) | big_g_1(x1) | big_j_2(a_0(),x1) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c1 t1 td1 b nc > ~big_g_1(b_0()) % U3: < d2 v0 dv0 f0 c1 t1 td1 > ~big_g_1(a_0()) % U6: < d4 v0 dv0 f1 c1 t2 td2 > big_f_1(f_1(a_0())) % U7: < d4 v0 dv0 f1 c1 t2 td2 > ~big_g_1(f_1(a_0())) % U18: < d4 v0 dv0 f1 c2 t3 td2 > big_h_2(f_1(a_0()),a_0()) % U23: < d4 v0 dv0 f1 c2 t3 td2 > big_j_2(a_0(),f_1(a_0())) % U34: < d5 v0 dv0 f1 c2 t3 td2 > ~big_j_2(a_0(),f_1(a_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % ~big_g_1(b_0()) ....... U1 % Derivation of unit clause U3: % big_f_1(b_0()) ....... B0 % ~big_f_1(x0) | ~big_g_1(a_0()) | big_g_1(x0) ....... B3 % ~big_g_1(a_0()) | big_g_1(b_0()) ....... R1 [B0:L0, B3:L0] % ~big_g_1(b_0()) ....... U1 % ~big_g_1(a_0()) ....... R2 [R1:L1, U1:L0] % Derivation of unit clause U6: % big_f_1(b_0()) ....... B0 % ~big_f_1(x0) | big_f_1(a_0()) | big_g_1(x0) ....... B2 % big_f_1(a_0()) | big_g_1(b_0()) ....... R1 [B0:L0, B2:L0] % ~big_f_1(x0) | big_f_1(f_1(x0)) | big_g_1(x0) ....... B4 % big_g_1(b_0()) | big_f_1(f_1(a_0())) | big_g_1(a_0()) ....... R2 [R1:L0, B4:L0] % ~big_g_1(b_0()) ....... U1 % big_f_1(f_1(a_0())) | big_g_1(a_0()) ....... R3 [R2:L0, U1:L0] % ~big_g_1(a_0()) ....... U3 % big_f_1(f_1(a_0())) ....... R4 [R3:L1, U3:L0] % Derivation of unit clause U7: % big_f_1(b_0()) ....... B0 % ~big_f_1(x0) | big_f_1(a_0()) | big_g_1(x0) ....... B2 % big_f_1(a_0()) | big_g_1(b_0()) ....... R1 [B0:L0, B2:L0] % ~big_f_1(x0) | ~big_g_1(f_1(x0)) | big_g_1(x0) ....... B5 % big_g_1(b_0()) | ~big_g_1(f_1(a_0())) | big_g_1(a_0()) ....... R2 [R1:L0, B5:L0] % ~big_g_1(b_0()) ....... U1 % ~big_g_1(f_1(a_0())) | big_g_1(a_0()) ....... R3 [R2:L0, U1:L0] % ~big_g_1(a_0()) ....... U3 % ~big_g_1(f_1(a_0())) ....... R4 [R3:L1, U3:L0] % Derivation of unit clause U18: % big_f_1(b_0()) ....... B0 % ~big_f_1(x0) | big_f_1(a_0()) | big_g_1(x0) ....... B2 % big_f_1(a_0()) | big_g_1(b_0()) ....... R1 [B0:L0, B2:L0] % ~big_f_1(x0) | big_g_1(x0) | big_h_2(f_1(x0),x0) ....... B6 % big_g_1(b_0()) | big_g_1(a_0()) | big_h_2(f_1(a_0()), a_0()) ....... R2 [R1:L0, B6:L0] % ~big_g_1(b_0()) ....... U1 % big_g_1(a_0()) | big_h_2(f_1(a_0()), a_0()) ....... R3 [R2:L0, U1:L0] % ~big_g_1(a_0()) ....... U3 % big_h_2(f_1(a_0()), a_0()) ....... R4 [R3:L0, U3:L0] % Derivation of unit clause U23: % big_f_1(b_0()) ....... B0 % ~big_f_1(x1) | ~big_f_1(x0) | big_g_1(x0) | big_g_1(x1) | big_j_2(a_0(),x1) ....... B8 % ~big_f_1(x0) | big_g_1(b_0()) | big_g_1(x0) | big_j_2(a_0(), x0) ....... R1 [B0:L0, B8:L1] % big_f_1(f_1(a_0())) ....... U6 % big_g_1(b_0()) | big_g_1(f_1(a_0())) | big_j_2(a_0(), f_1(a_0())) ....... R2 [R1:L0, U6:L0] % ~big_g_1(b_0()) ....... U1 % big_g_1(f_1(a_0())) | big_j_2(a_0(), f_1(a_0())) ....... R3 [R2:L0, U1:L0] % ~big_g_1(f_1(a_0())) ....... U7 % big_j_2(a_0(), f_1(a_0())) ....... R4 [R3:L0, U7:L0] % Derivation of unit clause U34: % ~big_f_1(x0) | big_f_1(a_0()) | big_g_1(x0) ....... B2 % ~big_f_1(x1) | ~big_f_1(x0) | ~big_h_2(x0,x1) | ~big_j_2(x1,x0) ....... B7 % ~big_f_1(x0) | big_g_1(x0) | ~big_f_1(x1) | ~big_h_2(x1, a_0()) | ~big_j_2(a_0(), x1) ....... R1 [B2:L1, B7:L0] % big_g_1(x0) | ~big_f_1(x0) | ~big_h_2(x0, a_0()) | ~big_j_2(a_0(), x0) ....... R2 [R1:L0, R1:L2] % ~big_g_1(f_1(a_0())) ....... U7 % ~big_f_1(f_1(a_0())) | ~big_h_2(f_1(a_0()), a_0()) | ~big_j_2(a_0(), f_1(a_0())) ....... R3 [R2:L0, U7:L0] % big_f_1(f_1(a_0())) ....... U6 % ~big_h_2(f_1(a_0()), a_0()) | ~big_j_2(a_0(), f_1(a_0())) ....... R4 [R3:L0, U6:L0] % big_h_2(f_1(a_0()),a_0()) ....... U18 % ~big_j_2(a_0(), f_1(a_0())) ....... R5 [R4:L0, U18:L0] % Derivation of the empty clause: % ~big_j_2(a_0(),f_1(a_0())) ....... U34 % big_j_2(a_0(),f_1(a_0())) ....... U23 % [] ....... R1 [U34:L0, U23:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 15473183 % resolvents: 14978166 factors: 495017 % Number of unit clauses generated: 3954398 % % unit clauses generated to total clauses generated: 25.56 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [2] = 5 [3] = 1 % [4] = 17 [5] = 4 [6] = 4 [8] = 2 % Total = 35 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 3954398 [2] = 4374846 [3] = 7142367 [4] = 1459 [5] = 113 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] big_f_1 (+)8 (-)0 % [1] big_g_1 (+)0 (-)8 % [2] big_h_2 (+)6 (-)3 % [3] big_j_2 (+)8 (-)2 % ------------------ % Total: (+)22 (-)13 % Total number of unit clauses retained: 35 % Number of clauses skipped because of their length: 15878125 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 288 % Number of successful unifications: 15473206 % Number of unification failures: 49019851 % Number of unit to unit unification failures: 29 % N literal unification failure due to lookup root_id table: 26160662 % N base clause resolution failure due to lookup table: 415 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 7 % N unit clauses dropped because they exceeded max values: 2507744 % N unit clauses dropped because too much nesting: 34992 % 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: 7 % Max term depth in a unit clause: 4 % Number of states in UCFA table: 42 % Total number of terms of all unit clauses in table: 111 % 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: 0.38 % Number of symbols (columns) in UCFA: 41 % Profile 2: Number of calls to: % ============================== % PTUnify() = 64493057 % ConstructUnitClause() = 2507777 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 2.47 secs % -------------------------------------------------------- % | | % Inferences per sec: 499135 % | | % -------------------------------------------------------- % Elapsed time: 32 secs % CPU time: 31.02 secs % %------------------------------------------------------------------------------