%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN252-1 : TPTP v5.0.0. Released v1.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art11.cs.miami.edu % Model : i686 i686 % CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz % Memory : 2006MB % OS : Linux 2.6.31.5-127.fc12.i686.PAE % CPULimit : 300s % DateTime : Sun Nov 28 08:47:56 EST 2010 % Result : Unsatisfiable 124.91s % Output : Refutation 124.91s % 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/SystemOnTPTP16947/SYN/SYN252-1+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 = 6512] [nf = 78] [nu = 2294] [ut = 241] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 104339] [nf = 630] [nu = 37217] [ut = 425] % Looking for a proof at depth = 4 ... % t = 5 secs [nr = 1174174] [nf = 10799] [nu = 428820] [ut = 514] % Looking for a proof at depth = 5 ... % t = 63 secs [nr = 13684832] [nf = 135243] [nu = 4985692] [ut = 603] % Looking for a proof at depth = 6 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 121 secs [nr = 25571920] [nf = 250479] [nu = 9024931] [ut = 603] % Looking for a proof at depth = 2 ... % t = 121 secs [nr = 25579007] [nf = 250557] [nu = 9027439] [ut = 603] % Looking for a proof at depth = 3 ... % t = 121 secs [nr = 25693192] [nf = 251333] [nu = 9071481] [ut = 609] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~m4_2(x0,d_0()) % B1: m0_3(x0,d_0(),x1) % B2: p0_2(b_0(),x0) % B3: q0_2(x0,d_0()) % B6: k0_1(b_0()) % B7: l0_1(a_0()) % B19: n0_2(b_0(),a_0()) % B39: ~p1_3(x1,x2,x0) | n2_1(x0) % B48: ~n0_2(x1,x0) | l1_2(x0,x0) % B53: ~l1_2(x1,x0) | q2_3(x0,x0,x1) % B55: ~n0_2(x1,x0) | p1_3(x0,x0,x0) % B57: ~p0_2(x1,x0) | p1_3(x0,x0,x0) % B81: ~p0_2(x0,x0) | s1_1(x0) % B86: ~n2_1(x0) | m3_3(x0,x0,x0) % B87: ~n2_1(x0) | p3_3(x0,x0,x0) % B141: ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0) % B200: ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) % B276: ~s1_1(x2) | ~p0_2(x1,x1) | ~m0_3(x3,x2,x0) | l2_2(x0,x0) % B281: ~s2_1(x0) | ~m0_3(x2,x3,x1) | ~q2_3(x2,x0,x2) | s3_2(x0,x1) % B296: ~l0_1(x2) | ~l1_2(x2,x0) | ~n1_3(x0,x1,x0) | n1_3(x0,x1,x1) % B314: ~n1_3(x1,x0,x2) | ~p1_3(x0,x0,x2) | ~q2_3(x1,x2,x0) | q2_3(x0,x1,x0) % B320: ~l0_1(x0) | ~s0_1(b_0()) | ~p0_2(b_0(),x1) | n1_3(x0,x1,x0) % B330: ~m4_2(x0,x0) | ~m3_3(x0,x0,x1) | ~p3_3(x1,x1,x1) | m4_2(x0,x0) % Unit Clauses: % -------------- % U2: < d0 v1 dv1 f0 c1 t2 td1 b > p0_2(b_0(),x0) % U7: < d0 v0 dv0 f0 c1 t1 td1 b > l0_1(a_0()) % U12: < d0 v0 dv0 f0 c1 t1 td1 b > s0_1(b_0()) % U14: < d0 v0 dv0 f0 c2 t2 td1 b > n0_2(d_0(),b_0()) % U44: < d1 v3 dv1 f0 c0 t3 td1 > p1_3(x0,x0,x0) % U47: < d1 v0 dv0 f0 c1 t1 td1 > s1_1(b_0()) % U74: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(a_0(),a_0()) % U88: < d1 v1 dv1 f0 c0 t1 td1 > n2_1(x0) % U102: < d1 v0 dv0 f0 c3 t3 td1 > q2_3(a_0(),a_0(),a_0()) % U119: < d1 v3 dv1 f0 c0 t3 td1 > m3_3(x0,x0,x0) % U125: < d1 v3 dv1 f0 c0 t3 td1 > p3_3(x0,x0,x0) % U157: < d2 v1 dv1 f0 c0 t1 td1 > s1_1(x0) % U172: < d2 v1 dv1 f0 c2 t3 td1 > q2_3(x0,b_0(),b_0()) % U247: < d3 v2 dv1 f0 c0 t2 td1 > l2_2(x0,x0) % U276: < d3 v1 dv1 f0 c2 t3 td1 > n1_3(a_0(),x0,a_0()) % U305: < d3 v2 dv1 f0 c1 t3 td1 > n1_3(a_0(),x0,x0) % U514: < d5 v0 dv0 f0 c2 t2 td1 > ~s3_2(a_0(),d_0()) % U523: < d5 v0 dv0 f0 c3 t3 td1 > ~q2_3(b_0(),a_0(),b_0()) % U738: < d4 v0 dv0 f0 c3 t3 td1 > q2_3(b_0(),a_0(),b_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % p0_2(b_0(),x0) ....... U2 % Derivation of unit clause U7: % l0_1(a_0()) ....... U7 % Derivation of unit clause U12: % s0_1(b_0()) ....... U12 % Derivation of unit clause U14: % n0_2(d_0(),b_0()) ....... U14 % 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 U47: % p0_2(b_0(),x0) ....... B2 % ~p0_2(x0,x0) | s1_1(x0) ....... B81 % s1_1(b_0()) ....... R1 [B2:L0, B81:L0] % Derivation of unit clause U74: % n0_2(b_0(),a_0()) ....... B19 % ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48 % l1_2(a_0(), a_0()) ....... R1 [B19: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 U102: % ~l1_2(x1,x0) | q2_3(x0,x0,x1) ....... B53 % l1_2(a_0(),a_0()) ....... U74 % q2_3(a_0(), a_0(), a_0()) ....... R1 [B53:L0, U74:L0] % Derivation of unit clause U119: % ~n2_1(x0) | m3_3(x0,x0,x0) ....... B86 % n2_1(x0) ....... U88 % m3_3(x0, x0, x0) ....... R1 [B86:L0, U88: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 U157: % q0_2(x0,d_0()) ....... B3 % ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0) ....... B141 % ~s1_1(x0) | s1_1(x1) ....... R1 [B3:L0, B141:L1] % s1_1(b_0()) ....... U47 % s1_1(x0) ....... R2 [R1:L0, U47:L0] % Derivation of unit clause U172: % k0_1(b_0()) ....... B6 % ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) ....... B200 % ~p1_3(x0, x0, x0) | q2_3(x0, b_0(), b_0()) ....... R1 [B6:L0, B200:L0] % p1_3(x0,x0,x0) ....... U44 % q2_3(x0, b_0(), b_0()) ....... R2 [R1:L0, U44:L0] % Derivation of unit clause U247: % m0_3(x0,d_0(),x1) ....... B1 % ~s1_1(x2) | ~p0_2(x1,x1) | ~m0_3(x3,x2,x0) | l2_2(x0,x0) ....... B276 % ~s1_1(d_0()) | ~p0_2(x0, x0) | l2_2(x1, x1) ....... R1 [B1:L0, B276:L2] % s1_1(x0) ....... U157 % ~p0_2(x0, x0) | l2_2(x1, x1) ....... R2 [R1:L0, U157:L0] % p0_2(b_0(),x0) ....... U2 % l2_2(x0, x0) ....... R3 [R2:L0, U2:L0] % Derivation of unit clause U276: % p0_2(b_0(),x0) ....... B2 % ~l0_1(x0) | ~s0_1(b_0()) | ~p0_2(b_0(),x1) | n1_3(x0,x1,x0) ....... B320 % ~l0_1(x0) | ~s0_1(b_0()) | n1_3(x0, x1, x0) ....... R1 [B2:L0, B320:L2] % l0_1(a_0()) ....... U7 % ~s0_1(b_0()) | n1_3(a_0(), x0, a_0()) ....... R2 [R1:L0, U7:L0] % s0_1(b_0()) ....... U12 % n1_3(a_0(), x0, a_0()) ....... R3 [R2:L0, U12:L0] % Derivation of unit clause U305: % l0_1(a_0()) ....... B7 % ~l0_1(x2) | ~l1_2(x2,x0) | ~n1_3(x0,x1,x0) | n1_3(x0,x1,x1) ....... B296 % ~l1_2(a_0(), x0) | ~n1_3(x0, x1, x0) | n1_3(x0, x1, x1) ....... R1 [B7:L0, B296:L0] % l1_2(a_0(),a_0()) ....... U74 % ~n1_3(a_0(), x0, a_0()) | n1_3(a_0(), x0, x0) ....... R2 [R1:L0, U74:L0] % n1_3(a_0(),x0,a_0()) ....... U276 % n1_3(a_0(), x0, x0) ....... R3 [R2:L0, U276:L0] % Derivation of unit clause U514: % ~m4_2(x0,d_0()) ....... B0 % ~m4_2(x0,x0) | ~m3_3(x0,x0,x1) | ~p3_3(x1,x1,x1) | m4_2(x0,x0) ....... B330 % ~m4_2(d_0(), d_0()) | ~m3_3(d_0(), d_0(), x0) | ~p3_3(x0, x0, x0) ....... R1 [B0:L0, B330:L3] % m3_3(x0,x0,x0) ....... U119 % ~m4_2(d_0(), d_0()) | ~p3_3(d_0(), d_0(), d_0()) ....... R2 [R1:L1, U119:L0] % ~l2_2(x2,x1) | ~s3_2(a_0(),x0) | m4_2(x0,x1) ....... B147 % ~p3_3(d_0(), d_0(), d_0()) | ~l2_2(x0, d_0()) | ~s3_2(a_0(), d_0()) ....... R3 [R2:L0, B147:L2] % p3_3(x0,x0,x0) ....... U125 % ~l2_2(x0, d_0()) | ~s3_2(a_0(), d_0()) ....... R4 [R3:L0, U125:L0] % l2_2(x0,x0) ....... U247 % ~s3_2(a_0(), d_0()) ....... R5 [R4:L0, U247:L0] % Derivation of unit clause U523: % m0_3(x0,d_0(),x1) ....... B1 % ~s2_1(x0) | ~m0_3(x2,x3,x1) | ~q2_3(x2,x0,x2) | s3_2(x0,x1) ....... B281 % ~s2_1(x0) | ~q2_3(x1, x0, x1) | s3_2(x0, x2) ....... R1 [B1:L0, B281:L1] % q2_3(a_0(),a_0(),a_0()) ....... U102 % ~s2_1(a_0()) | s3_2(a_0(), x0) ....... R2 [R1:L1, U102:L0] % ~s1_1(b_0()) | ~q2_3(b_0(),x0,b_0()) | s2_1(x0) ....... B229 % s3_2(a_0(), x0) | ~s1_1(b_0()) | ~q2_3(b_0(), a_0(), b_0()) ....... R3 [R2:L0, B229:L2] % ~s3_2(a_0(),d_0()) ....... U514 % ~s1_1(b_0()) | ~q2_3(b_0(), a_0(), b_0()) ....... R4 [R3:L0, U514:L0] % s1_1(b_0()) ....... U47 % ~q2_3(b_0(), a_0(), b_0()) ....... R5 [R4:L0, U47:L0] % Derivation of unit clause U738: % ~n0_2(x1,x0) | p1_3(x0,x0,x0) ....... B55 % ~n1_3(x1,x0,x2) | ~p1_3(x0,x0,x2) | ~q2_3(x1,x2,x0) | q2_3(x0,x1,x0) ....... B314 % ~n0_2(x0, x1) | ~n1_3(x2, x1, x1) | ~q2_3(x2, x1, x1) | q2_3(x1, x2, x1) ....... R1 [B55:L1, B314:L1] % n0_2(d_0(),b_0()) ....... U14 % ~n1_3(x0, b_0(), b_0()) | ~q2_3(x0, b_0(), b_0()) | q2_3(b_0(), x0, b_0()) ....... R2 [R1:L0, U14:L0] % n1_3(a_0(),x0,x0) ....... U305 % ~q2_3(a_0(), b_0(), b_0()) | q2_3(b_0(), a_0(), b_0()) ....... R3 [R2:L0, U305:L0] % q2_3(x0,b_0(),b_0()) ....... U172 % q2_3(b_0(), a_0(), b_0()) ....... R4 [R3:L0, U172:L0] % Derivation of the empty clause: % q2_3(b_0(),a_0(),b_0()) ....... U738 % ~q2_3(b_0(),a_0(),b_0()) ....... U523 % [] ....... R1 [U738:L0, U523:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 26682157 % resolvents: 26426398 factors: 255759 % Number of unit clauses generated: 9376773 % % unit clauses generated to total clauses generated: 35.14 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 94 [2] = 108 [3] = 190 % [4] = 219 [5] = 89 % Total = 739 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 9376773 [2] = 13377107 [3] = 3921336 [4] = 6941 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] k0_1 (+)2 (-)1 % [1] k1_1 (+)5 (-)0 % [2] k4_1 (+)2 (-)0 % [3] k5_1 (+)6 (-)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 (+)5 (-)0 % [12] r2_1 (+)2 (-)0 % [13] r4_1 (+)6 (-)0 % [14] s0_1 (+)2 (-)0 % [15] s1_1 (+)5 (-)0 % [16] s2_1 (+)4 (-)1 % [17] s4_1 (+)5 (-)0 % [18] s5_1 (+)6 (-)0 % [19] k2_2 (+)20 (-)0 % [20] l1_2 (+)7 (-)1 % [21] l2_2 (+)14 (-)0 % [22] l3_2 (+)14 (-)0 % [23] m4_2 (+)0 (-)2 % [24] m5_2 (+)0 (-)0 % [25] n0_2 (+)8 (-)0 % [26] n4_2 (+)24 (-)0 % [27] n5_2 (+)6 (-)0 % [28] p0_2 (+)4 (-)0 % [29] q0_2 (+)8 (-)0 % [30] q3_2 (+)7 (-)0 % [31] q4_2 (+)22 (-)0 % [32] q5_2 (+)0 (-)0 % [33] r5_2 (+)0 (-)0 % [34] s3_2 (+)13 (-)2 % [35] k3_3 (+)49 (-)0 % [36] m0_3 (+)10 (-)0 % [37] m1_3 (+)39 (-)0 % [38] m3_3 (+)38 (-)0 % [39] n1_3 (+)35 (-)0 % [40] p1_3 (+)40 (-)0 % [41] p2_3 (+)46 (-)0 % [42] p3_3 (+)50 (-)0 % [43] p4_3 (+)37 (-)0 % [44] p5_3 (+)30 (-)0 % [45] q1_3 (+)53 (-)0 % [46] q2_3 (+)41 (-)1 % [47] r3_3 (+)42 (-)0 % ------------------ % Total: (+)731 (-)8 % Total number of unit clauses retained: 739 % Number of clauses skipped because of their length: 414511822 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 3297465 % Number of successful unifications: 26682191 % Number of unification failures: 50079393 % Number of unit to unit unification failures: 79 % N literal unification failure due to lookup root_id table: 185441527 % N base clause resolution failure due to lookup table: 615712707 % N UC-BCL resolution dropped due to lookup table: 116571 % Max entries in substitution set: 18 % N unit clauses dropped because they exceeded max values: 8514755 % 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: 492 % Total number of terms of all unit clauses in table: 1913 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.01 % Ratio n states used/total unit clauses terms: 0.26 % Number of symbols (columns) in UCFA: 87 % Profile 2: Number of calls to: % ============================== % PTUnify() = 76761584 % ConstructUnitClause() = 8515455 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 9.68 secs % -------------------------------------------------------- % | | % Inferences per sec: 215179 % | | % -------------------------------------------------------- % Elapsed time: 125 secs % CPU time: 124.90 secs % %------------------------------------------------------------------------------