TSTP Solution File: SYN252-1 by CARINE---0.734
View Problem
- Process Solution
%------------------------------------------------------------------------------
% 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
%
%------------------------------------------------------------------------------