TSTP Solution File: SYN202-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN202-1 : 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 08:43:43 EST 2010

% Result   : Unsatisfiable 121.55s
% Output   : Refutation 121.55s
% 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/SystemOnTPTP15577/SYN/SYN202-1+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 = 1 secs [nr = 831] [nf = 0] [nu = 404] [ut = 133]
% Looking for a proof at depth = 2 ...
% 	t = 1 secs [nr = 6513] [nf = 78] [nu = 2295] [ut = 242]
% Looking for a proof at depth = 3 ...
% 	t = 1 secs [nr = 104306] [nf = 630] [nu = 37202] [ut = 425]
% Looking for a proof at depth = 4 ...
% 	t = 6 secs [nr = 1173758] [nf = 10797] [nu = 428604] [ut = 514]
% Looking for a proof at depth = 5 ...
% 	t = 65 secs [nr = 13678120] [nf = 135196] [nu = 4982511] [ut = 599]
% Looking for a proof at depth = 6 ...
% Entering time slice 2
% Updating parameters ... done.
% Looking for a proof at depth = 1 ...
% 	t = 123 secs [nr = 25561268] [nf = 250348] [nu = 9012984] [ut = 599]
% Looking for a proof at depth = 2 ...
% 	t = 123 secs [nr = 25568353] [nf = 250426] [nu = 9015492] [ut = 599]
% Looking for a proof at depth = 3 ...
% 	t = 124 secs [nr = 25682430] [nf = 251202] [nu = 9059484] [ut = 605]
% Looking for a proof at depth = 4 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~s2_1(e_0())
% B1: m0_3(x0,d_0(),x1)
% B2: p0_2(b_0(),x0)
% B3: q0_2(x0,d_0())
% B13: n0_2(d_0(),e_0())
% B44: ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0)
% B48: ~n0_2(x1,x0) | l1_2(x0,x0)
% B53: ~l1_2(x1,x0) | q2_3(x0,x0,x1)
% B81: ~p0_2(x0,x0) | s1_1(x0)
% B229: ~s1_1(b_0()) | ~q2_3(b_0(),x0,b_0()) | s2_1(x0)
% B323: ~s0_1(d_0()) | ~q0_2(x0,x1) | ~q1_3(d_0(),x1,d_0()) | r1_1(x0)
% B351: ~k0_1(x1) | ~r1_1(x1) | ~m0_3(x2,x3,x0) | ~q2_3(x1,x1,x1) | q2_3(x0,x1,x0)
% Unit Clauses:
% --------------
% U5: < d0 v0 dv0 f0 c1 t1 td1 b > k0_1(e_0())
% U11: < d0 v0 dv0 f0 c1 t1 td1 b > s0_1(d_0())
% U40: < d1 v3 dv1 f0 c0 t3 td1 > q1_3(x0,x0,x0)
% U47: < d1 v0 dv0 f0 c1 t1 td1 > s1_1(b_0())
% U66: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(e_0(),e_0())
% U99: < d1 v0 dv0 f0 c3 t3 td1 > q2_3(e_0(),e_0(),e_0())
% U133: < d2 v0 dv0 f0 c3 t3 td1 > ~q2_3(b_0(),e_0(),b_0())
% U282: < d3 v1 dv1 f0 c0 t1 td1 > r1_1(x0)
% U605: < d4 v2 dv1 f0 c1 t3 td1 > q2_3(x0,e_0(),x0)
% --------------- Start of Proof ---------------
% Derivation of unit clause U5:
% k0_1(e_0()) ....... U5
% Derivation of unit clause U11:
% s0_1(d_0()) ....... U11
% Derivation of unit clause U40:
% m0_3(x0,d_0(),x1) ....... B1
% ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0) ....... B44
%  q1_3(x0, x0, x0) ....... R1 [B1:L0, B44: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 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 U99:
% ~l1_2(x1,x0) | q2_3(x0,x0,x1) ....... B53
% l1_2(e_0(),e_0()) ....... U66
%  q2_3(e_0(), e_0(), e_0()) ....... R1 [B53:L0, U66:L0]
% Derivation of unit clause U133:
% ~s2_1(e_0()) ....... B0
% ~s1_1(b_0()) | ~q2_3(b_0(),x0,b_0()) | s2_1(x0) ....... B229
%  ~s1_1(b_0()) | ~q2_3(b_0(), e_0(), b_0()) ....... R1 [B0:L0, B229:L2]
%  s1_1(b_0()) ....... U47
%   ~q2_3(b_0(), e_0(), b_0()) ....... R2 [R1:L0, U47:L0]
% Derivation of unit clause U282:
% q0_2(x0,d_0()) ....... B3
% ~s0_1(d_0()) | ~q0_2(x0,x1) | ~q1_3(d_0(),x1,d_0()) | r1_1(x0) ....... B323
%  ~s0_1(d_0()) | ~q1_3(d_0(), d_0(), d_0()) | r1_1(x0) ....... R1 [B3:L0, B323:L1]
%  s0_1(d_0()) ....... U11
%   ~q1_3(d_0(), d_0(), d_0()) | r1_1(x0) ....... R2 [R1:L0, U11:L0]
%   q1_3(x0,x0,x0) ....... U40
%    r1_1(x0) ....... R3 [R2:L0, U40:L0]
% Derivation of unit clause U605:
% m0_3(x0,d_0(),x1) ....... B1
% ~k0_1(x1) | ~r1_1(x1) | ~m0_3(x2,x3,x0) | ~q2_3(x1,x1,x1) | q2_3(x0,x1,x0) ....... B351
%  ~k0_1(x0) | ~r1_1(x0) | ~q2_3(x0, x0, x0) | q2_3(x1, x0, x1) ....... R1 [B1:L0, B351:L2]
%  k0_1(e_0()) ....... U5
%   ~r1_1(e_0()) | ~q2_3(e_0(), e_0(), e_0()) | q2_3(x0, e_0(), x0) ....... R2 [R1:L0, U5:L0]
%   r1_1(x0) ....... U282
%    ~q2_3(e_0(), e_0(), e_0()) | q2_3(x0, e_0(), x0) ....... R3 [R2:L0, U282:L0]
%    q2_3(e_0(),e_0(),e_0()) ....... U99
%     q2_3(x0, e_0(), x0) ....... R4 [R3:L0, U99:L0]
% Derivation of the empty clause:
% q2_3(x0,e_0(),x0) ....... U605
% ~q2_3(b_0(),e_0(),b_0()) ....... U133
%  [] ....... R1 [U605:L0, U133:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 25944806
% 	resolvents: 25693480	factors: 251326
% Number of unit clauses generated: 9062983
% % unit clauses generated to total clauses generated: 34.93
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 39	[1] = 94	[2] = 109	[3] = 189	
% [4] = 90	[5] = 85	
% Total = 606
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 9062983	[2] = 13036777	[3] = 3843577	[4] = 1469	
% 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		(+)1	(-)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		(+)3	(-)1
% [17] s4_1		(+)5	(-)0
% [18] s5_1		(+)6	(-)0
% [19] k2_2		(+)6	(-)0
% [20] l1_2		(+)7	(-)0
% [21] l2_2		(+)14	(-)0
% [22] l3_2		(+)14	(-)0
% [23] m4_2		(+)0	(-)0
% [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		(+)6	(-)0
% [31] q4_2		(+)0	(-)0
% [32] q5_2		(+)0	(-)0
% [33] r5_2		(+)0	(-)0
% [34] s3_2		(+)9	(-)0
% [35] k3_3		(+)43	(-)0
% [36] m0_3		(+)10	(-)0
% [37] m1_3		(+)39	(-)0
% [38] m3_3		(+)21	(-)0
% [39] n1_3		(+)35	(-)0
% [40] p1_3		(+)40	(-)0
% [41] p2_3		(+)38	(-)0
% [42] p3_3		(+)34	(-)0
% [43] p4_3		(+)29	(-)0
% [44] p5_3		(+)30	(-)0
% [45] q1_3		(+)51	(-)0
% [46] q2_3		(+)31	(-)1
% [47] r3_3		(+)25	(-)0
% 			------------------
% 		Total:	(+)604	(-)2
% Total number of unit clauses retained: 606
% Number of clauses skipped because of their length: 401574926
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 3207058
% Number of successful unifications: 25944819
% Number of unification failures: 48416255
% Number of unit to unit unification failures: 33
% N literal unification failure due to lookup root_id table: 181149785
% N base clause resolution failure due to lookup table: 601101844
% N UC-BCL resolution dropped due to lookup table: 235988
% Max entries in substitution set: 18
% N unit clauses dropped because they exceeded max values: 8226823
% 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: 445
% Total number of terms of all unit clauses in table: 1566
% 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: 0.28
% Number of symbols (columns) in UCFA: 87
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 74361074
% ConstructUnitClause() = 8227390
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 9.23 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: 214420
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 124 secs
% CPU time: 121.54 secs
% 
%------------------------------------------------------------------------------