%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN069-1 : 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 08:28:31 EST 2010 % Result : Unsatisfiable 0.16s % Output : Refutation 0.16s % 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/SystemOnTPTP31642/SYN/SYN069-1+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 = 5] [nf = 0] [nu = 3] [ut = 4] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 19] [nf = 0] [nu = 9] [ut = 5] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 50] [nf = 2] [nu = 21] [ut = 6] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 248] [nf = 10] [nu = 61] [ut = 9] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 2826] [nf = 199] [nu = 600] [ut = 10] % Looking for a proof at depth = 6 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~big_f_1(x0) | big_g_1(g_1(x0)) % B1: ~big_f_1(x0) | big_h_2(x0,g_1(x0)) % B2: big_f_1(a_0()) % B3: ~big_k_1(x0) | ~big_l_1(x0) % B4: ~big_h_2(a_0(),x0) | big_l_1(x0) % B6: ~big_f_1(x0) | ~big_g_1(x1) | ~big_h_2(x0,x1) | big_g_1(f_1(x0)) | big_k_1(x1) % B7: ~big_f_1(x0) | ~big_g_1(x1) | ~big_h_2(x0,x1) | big_k_1(x1) | big_h_2(x0,f_1(x0)) % B8: ~big_f_1(x0) | ~big_g_1(x1) | ~big_h_2(x0,x1) | ~big_j_2(x0,f_1(x0)) | big_k_1(x1) % Unit Clauses: % -------------- % U0: < d0 v0 dv0 f0 c1 t1 td1 b > big_f_1(a_0()) % U1: < d1 v0 dv0 f1 c1 t2 td2 > big_g_1(g_1(a_0())) % U2: < d1 v0 dv0 f1 c2 t3 td2 > big_h_2(a_0(),g_1(a_0())) % U4: < d2 v0 dv0 f1 c1 t2 td2 > ~big_k_1(g_1(a_0())) % U7: < d4 v0 dv0 f1 c2 t3 td2 > big_h_2(a_0(),f_1(a_0())) % U8: < d4 v0 dv0 f1 c2 t3 td2 > ~big_j_2(a_0(),f_1(a_0())) % U10: < d6 v0 dv0 f1 c2 t3 td2 > big_j_2(a_0(),f_1(a_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U0: % big_f_1(a_0()) ....... U0 % Derivation of unit clause U1: % ~big_f_1(x0) | big_g_1(g_1(x0)) ....... B0 % big_f_1(a_0()) ....... U0 % big_g_1(g_1(a_0())) ....... R1 [B0:L0, U0:L0] % Derivation of unit clause U2: % ~big_f_1(x0) | big_h_2(x0,g_1(x0)) ....... B1 % big_f_1(a_0()) ....... U0 % big_h_2(a_0(), g_1(a_0())) ....... R1 [B1:L0, U0:L0] % Derivation of unit clause U4: % ~big_k_1(x0) | ~big_l_1(x0) ....... B3 % ~big_h_2(a_0(),x0) | big_l_1(x0) ....... B4 % ~big_k_1(x0) | ~big_h_2(a_0(), x0) ....... R1 [B3:L1, B4:L1] % big_h_2(a_0(),g_1(a_0())) ....... U2 % ~big_k_1(g_1(a_0())) ....... R2 [R1:L1, U2:L0] % Derivation of unit clause U7: % big_f_1(a_0()) ....... B2 % ~big_f_1(x0) | ~big_g_1(x1) | ~big_h_2(x0,x1) | big_k_1(x1) | big_h_2(x0,f_1(x0)) ....... B7 % ~big_g_1(x0) | ~big_h_2(a_0(), x0) | big_k_1(x0) | big_h_2(a_0(), f_1(a_0())) ....... R1 [B2:L0, B7:L0] % big_g_1(g_1(a_0())) ....... U1 % ~big_h_2(a_0(), g_1(a_0())) | big_k_1(g_1(a_0())) | big_h_2(a_0(), f_1(a_0())) ....... R2 [R1:L0, U1:L0] % big_h_2(a_0(),g_1(a_0())) ....... U2 % big_k_1(g_1(a_0())) | big_h_2(a_0(), f_1(a_0())) ....... R3 [R2:L0, U2:L0] % ~big_k_1(g_1(a_0())) ....... U4 % big_h_2(a_0(), f_1(a_0())) ....... R4 [R3:L0, U4:L0] % Derivation of unit clause U8: % big_f_1(a_0()) ....... B2 % ~big_f_1(x0) | ~big_g_1(x1) | ~big_h_2(x0,x1) | ~big_j_2(x0,f_1(x0)) | big_k_1(x1) ....... B8 % ~big_g_1(x0) | ~big_h_2(a_0(), x0) | ~big_j_2(a_0(), f_1(a_0())) | big_k_1(x0) ....... R1 [B2:L0, B8:L0] % big_g_1(g_1(a_0())) ....... U1 % ~big_h_2(a_0(), g_1(a_0())) | ~big_j_2(a_0(), f_1(a_0())) | big_k_1(g_1(a_0())) ....... R2 [R1:L0, U1:L0] % big_h_2(a_0(),g_1(a_0())) ....... U2 % ~big_j_2(a_0(), f_1(a_0())) | big_k_1(g_1(a_0())) ....... R3 [R2:L0, U2:L0] % ~big_k_1(g_1(a_0())) ....... U4 % ~big_j_2(a_0(), f_1(a_0())) ....... R4 [R3:L1, U4:L0] % Derivation of unit clause U10: % big_f_1(a_0()) ....... B2 % ~big_f_1(x0) | ~big_g_1(x1) | ~big_h_2(x0,x1) | big_g_1(f_1(x0)) | big_k_1(x1) ....... B6 % ~big_g_1(x0) | ~big_h_2(a_0(), x0) | big_g_1(f_1(a_0())) | big_k_1(x0) ....... R1 [B2:L0, B6:L0] % big_g_1(g_1(a_0())) ....... U1 % ~big_h_2(a_0(), g_1(a_0())) | big_g_1(f_1(a_0())) | big_k_1(g_1(a_0())) ....... R2 [R1:L0, U1:L0] % ~big_g_1(x0) | ~big_h_2(a_0(),x0) | big_j_2(a_0(),x0) ....... B5 % ~big_h_2(a_0(), g_1(a_0())) | big_k_1(g_1(a_0())) | ~big_h_2(a_0(), f_1(a_0())) | big_j_2(a_0(), f_1(a_0())) ....... R3 [R2:L1, B5:L0] % big_h_2(a_0(),g_1(a_0())) ....... U2 % big_k_1(g_1(a_0())) | ~big_h_2(a_0(), f_1(a_0())) | big_j_2(a_0(), f_1(a_0())) ....... R4 [R3:L0, U2:L0] % ~big_k_1(g_1(a_0())) ....... U4 % ~big_h_2(a_0(), f_1(a_0())) | big_j_2(a_0(), f_1(a_0())) ....... R5 [R4:L0, U4:L0] % big_h_2(a_0(),f_1(a_0())) ....... U7 % big_j_2(a_0(), f_1(a_0())) ....... R6 [R5:L0, U7:L0] % Derivation of the empty clause: % big_j_2(a_0(),f_1(a_0())) ....... U10 % ~big_j_2(a_0(),f_1(a_0())) ....... U8 % [] ....... R1 [U10:L0, U8:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 8770 % resolvents: 8331 factors: 439 % Number of unit clauses generated: 2007 % % unit clauses generated to total clauses generated: 22.88 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 1 [1] = 3 [2] = 1 [3] = 1 % [4] = 3 [5] = 1 [6] = 1 % Total = 11 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 2007 [2] = 3748 [3] = 2266 [4] = 617 [5] = 123 [6] = 9 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] big_f_1 (+)1 (-)0 % [1] big_g_1 (+)2 (-)0 % [2] big_k_1 (+)0 (-)1 % [3] big_l_1 (+)2 (-)0 % [4] big_h_2 (+)2 (-)0 % [5] big_j_2 (+)2 (-)1 % ------------------ % Total: (+)9 (-)2 % Total number of unit clauses retained: 11 % Number of clauses skipped because of their length: 5318 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 341 % Number of successful unifications: 8788 % Number of unification failures: 2662 % Number of unit to unit unification failures: 1 % N literal unification failure due to lookup root_id table: 39061 % N base clause resolution failure due to lookup table: 8690 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 5 % N unit clauses dropped because they exceeded max values: 1728 % N unit clauses dropped because too much nesting: 0 % 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: 3 % Max term depth in a unit clause: 2 % Number of states in UCFA table: 23 % Total number of terms of all unit clauses in table: 26 % 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: 0.88 % Number of symbols (columns) in UCFA: 43 % Profile 2: Number of calls to: % ============================== % PTUnify() = 11450 % ConstructUnitClause() = 1738 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.16 secs % %------------------------------------------------------------------------------