%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN213-1 : TPTP v5.0.0. Released v1.1.0. % 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 08:43:04 EST 2010 % Result : Unsatisfiable 0.28s % Output : Refutation 0.28s % 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/SystemOnTPTP15147/SYN/SYN213-1+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 = 831] [nf = 0] [nu = 404] [ut = 133] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 6519] [nf = 78] [nu = 2294] [ut = 241] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~s5_1(b_0()) % B2: p0_2(b_0(),x0) % B5: k0_1(e_0()) % B13: n0_2(d_0(),e_0()) % B39: ~p1_3(x1,x2,x0) | n2_1(x0) % B40: ~p2_3(x1,x2,x0) | n3_1(x0) % B48: ~n0_2(x1,x0) | l1_2(x0,x0) % B52: ~l1_2(x1,x0) | p2_3(x0,x0,x0) % B57: ~p0_2(x1,x0) | p1_3(x0,x0,x0) % B87: ~n2_1(x0) | p3_3(x0,x0,x0) % B162: ~n0_2(x2,x0) | ~q2_3(x2,x0,x1) | q3_2(x0,x1) % B174: ~l4_1(x0) | ~r4_1(x1) | s5_1(x0) % B200: ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) % B271: ~n3_1(x0) | ~p0_2(x3,x0) | ~q3_2(x1,x2) | r4_1(x0) % Unit Clauses: % -------------- % U44: < d1 v3 dv1 f0 c0 t3 td1 > p1_3(x0,x0,x0) % U66: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(e_0(),e_0()) % U88: < d1 v1 dv1 f0 c0 t1 td1 > n2_1(x0) % U125: < d1 v3 dv1 f0 c0 t3 td1 > p3_3(x0,x0,x0) % U164: < d2 v1 dv1 f0 c2 t3 td1 > q2_3(x0,e_0(),e_0()) % U197: < d2 v0 dv0 f0 c2 t2 td1 > q3_2(e_0(),e_0()) % U215: < d2 v0 dv0 f0 c1 t1 td1 > n3_1(e_0()) % U241: < d3 v1 dv1 f0 c0 t1 td1 > ~r4_1(x0) % U257: < d3 v0 dv0 f0 c1 t1 td1 > r4_1(e_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U44: % p0_2(b_0(),x0) ....... B2 % ~p0_2(x1,x0) | p1_3(x0,x0,x0) ....... B57 % p1_3(x0, x0, x0) ....... R1 [B2:L0, B57:L0] % Derivation of unit clause U66: % n0_2(d_0(),e_0()) ....... B13 % ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48 % l1_2(e_0(), e_0()) ....... R1 [B13:L0, B48:L0] % Derivation of unit clause U88: % ~p1_3(x1,x2,x0) | n2_1(x0) ....... B39 % p1_3(x0,x0,x0) ....... U44 % n2_1(x0) ....... R1 [B39:L0, U44:L0] % Derivation of unit clause U125: % ~n2_1(x0) | p3_3(x0,x0,x0) ....... B87 % n2_1(x0) ....... U88 % p3_3(x0, x0, x0) ....... R1 [B87:L0, U88:L0] % Derivation of unit clause U164: % k0_1(e_0()) ....... B5 % ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) ....... B200 % ~p1_3(x0, x0, x0) | q2_3(x0, e_0(), e_0()) ....... R1 [B5:L0, B200:L0] % p1_3(x0,x0,x0) ....... U44 % q2_3(x0, e_0(), e_0()) ....... R2 [R1:L0, U44:L0] % Derivation of unit clause U197: % n0_2(d_0(),e_0()) ....... B13 % ~n0_2(x2,x0) | ~q2_3(x2,x0,x1) | q3_2(x0,x1) ....... B162 % ~q2_3(d_0(), e_0(), x0) | q3_2(e_0(), x0) ....... R1 [B13:L0, B162:L0] % q2_3(x0,e_0(),e_0()) ....... U164 % q3_2(e_0(), e_0()) ....... R2 [R1:L0, U164:L0] % Derivation of unit clause U215: % ~p2_3(x1,x2,x0) | n3_1(x0) ....... B40 % ~l1_2(x1,x0) | p2_3(x0,x0,x0) ....... B52 % n3_1(x0) | ~l1_2(x1, x0) ....... R1 [B40:L0, B52:L1] % l1_2(e_0(),e_0()) ....... U66 % n3_1(e_0()) ....... R2 [R1:L1, U66:L0] % Derivation of unit clause U241: % ~s5_1(b_0()) ....... B0 % ~l4_1(x0) | ~r4_1(x1) | s5_1(x0) ....... B174 % ~l4_1(b_0()) | ~r4_1(x0) ....... R1 [B0:L0, B174:L2] % ~p3_3(x1,x2,x0) | l4_1(x0) ....... B41 % ~r4_1(x0) | ~p3_3(x1, x2, b_0()) ....... R2 [R1:L0, B41:L1] % p3_3(x0,x0,x0) ....... U125 % ~r4_1(x0) ....... R3 [R2:L1, U125:L0] % Derivation of unit clause U257: % p0_2(b_0(),x0) ....... B2 % ~n3_1(x0) | ~p0_2(x3,x0) | ~q3_2(x1,x2) | r4_1(x0) ....... B271 % ~n3_1(x0) | ~q3_2(x1, x2) | r4_1(x0) ....... R1 [B2:L0, B271:L1] % n3_1(e_0()) ....... U215 % ~q3_2(x0, x1) | r4_1(e_0()) ....... R2 [R1:L0, U215:L0] % q3_2(e_0(),e_0()) ....... U197 % r4_1(e_0()) ....... R3 [R2:L0, U197:L0] % Derivation of the empty clause: % r4_1(e_0()) ....... U257 % ~r4_1(x0) ....... U241 % [] ....... R1 [U257:L0, U241:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 7795 % resolvents: 7695 factors: 100 % Number of unit clauses generated: 2675 % % unit clauses generated to total clauses generated: 34.32 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 94 [2] = 108 [3] = 17 % Total = 258 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 2675 [2] = 3887 [3] = 1233 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] k0_1 (+)2 (-)0 % [1] k1_1 (+)5 (-)0 % [2] k4_1 (+)0 (-)0 % [3] k5_1 (+)0 (-)0 % [4] l0_1 (+)2 (-)0 % [5] l4_1 (+)6 (-)0 % [6] l5_1 (+)0 (-)0 % [7] m2_1 (+)2 (-)0 % [8] n2_1 (+)6 (-)0 % [9] n3_1 (+)6 (-)0 % [10] r0_1 (+)2 (-)0 % [11] r1_1 (+)0 (-)0 % [12] r2_1 (+)0 (-)0 % [13] r4_1 (+)1 (-)1 % [14] s0_1 (+)2 (-)0 % [15] s1_1 (+)5 (-)0 % [16] s2_1 (+)1 (-)0 % [17] s4_1 (+)0 (-)0 % [18] s5_1 (+)0 (-)1 % [19] k2_2 (+)6 (-)0 % [20] l1_2 (+)6 (-)0 % [21] l2_2 (+)2 (-)0 % [22] l3_2 (+)3 (-)0 % [23] m4_2 (+)0 (-)0 % [24] m5_2 (+)0 (-)0 % [25] n0_2 (+)8 (-)0 % [26] n4_2 (+)0 (-)0 % [27] n5_2 (+)0 (-)0 % [28] p0_2 (+)4 (-)0 % [29] q0_2 (+)8 (-)0 % [30] q3_2 (+)2 (-)0 % [31] q4_2 (+)0 (-)0 % [32] q5_2 (+)0 (-)0 % [33] r5_2 (+)0 (-)0 % [34] s3_2 (+)1 (-)0 % [35] k3_3 (+)7 (-)0 % [36] m0_3 (+)10 (-)0 % [37] m1_3 (+)27 (-)0 % [38] m3_3 (+)6 (-)0 % [39] n1_3 (+)21 (-)0 % [40] p1_3 (+)21 (-)0 % [41] p2_3 (+)17 (-)0 % [42] p3_3 (+)6 (-)0 % [43] p4_3 (+)6 (-)0 % [44] p5_3 (+)0 (-)0 % [45] q1_3 (+)32 (-)0 % [46] q2_3 (+)16 (-)0 % [47] r3_3 (+)7 (-)0 % ------------------ % Total: (+)256 (-)2 % Total number of unit clauses retained: 258 % Number of clauses skipped because of their length: 92573 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 180 % Number of successful unifications: 7811 % Number of unification failures: 3935 % Number of unit to unit unification failures: 0 % N literal unification failure due to lookup root_id table: 21627 % N base clause resolution failure due to lookup table: 112047 % N UC-BCL resolution dropped due to lookup table: 21 % Max entries in substitution set: 9 % N unit clauses dropped because they exceeded max values: 1838 % 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: 1 % Number of states in UCFA table: 284 % Total number of terms of all unit clauses in table: 650 % 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: 0.44 % Number of symbols (columns) in UCFA: 87 % Profile 2: Number of calls to: % ============================== % PTUnify() = 11746 % ConstructUnitClause() = 2057 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.28 secs % %------------------------------------------------------------------------------