TSTP Solution File: SYN266-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN266-1 : TPTP v5.0.0. Released v1.1.0.
% 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 08:47:24 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/SystemOnTPTP2259/SYN/SYN266-1+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 = 833] [nf = 0] [nu = 404] [ut = 133]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 6533] [nf = 78] [nu = 2301] [ut = 244]
% Looking for a proof at depth = 3 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~p3_3(b_0(),e_0(),e_0())
% B2: p0_2(b_0(),x0)
% B9: r0_1(e_0())
% B37: m0_3(b_0(),b_0(),e_0())
% B39: ~p1_3(x1,x2,x0) | n2_1(x0)
% B57: ~p0_2(x1,x0) | p1_3(x0,x0,x0)
% B68: ~m0_3(x1,x1,x0) | m1_3(x0,x1,x0)
% B70: ~m1_3(x1,x0,x1) | p2_3(x0,x1,x0)
% B86: ~n2_1(x0) | m3_3(x0,x0,x0)
% B88: ~r0_1(x0) | n1_3(x0,x0,x0)
% B138: ~m3_3(x1,x2,x3) | ~p2_3(x0,x1,x3) | p3_3(x0,x1,x1)
% B310: ~p0_2(x0,x1) | ~n1_3(x2,x1,x2) | ~p2_3(x0,x1,x0) | p2_3(x0,x1,x1)
% Unit Clauses:
% --------------
% U44: < d1 v3 dv1 f0 c0 t3 td1 > p1_3(x0,x0,x0)
% U59: < d1 v0 dv0 f0 c3 t3 td1 > n1_3(e_0(),e_0(),e_0())
% U86: < d1 v0 dv0 f0 c3 t3 td1 > m1_3(e_0(),b_0(),e_0())
% U88: < d1 v1 dv1 f0 c0 t1 td1 > n2_1(x0)
% U112: < d1 v0 dv0 f0 c3 t3 td1 > p2_3(b_0(),e_0(),b_0())
% U119: < d1 v3 dv1 f0 c0 t3 td1 > m3_3(x0,x0,x0)
% U134: < d2 v0 dv0 f0 c3 t3 td1 > ~p2_3(b_0(),e_0(),e_0())
% U278: < d3 v0 dv0 f0 c3 t3 td1 > p2_3(b_0(),e_0(),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 U59:
% r0_1(e_0()) ....... B9
% ~r0_1(x0) | n1_3(x0,x0,x0) ....... B88
%  n1_3(e_0(), e_0(), e_0()) ....... R1 [B9:L0, B88:L0]
% Derivation of unit clause U86:
% m0_3(b_0(),b_0(),e_0()) ....... B37
% ~m0_3(x1,x1,x0) | m1_3(x0,x1,x0) ....... B68
%  m1_3(e_0(), b_0(), e_0()) ....... R1 [B37:L0, B68: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 U112:
% ~m1_3(x1,x0,x1) | p2_3(x0,x1,x0) ....... B70
% m1_3(e_0(),b_0(),e_0()) ....... U86
%  p2_3(b_0(), e_0(), b_0()) ....... R1 [B70:L0, U86: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 U134:
% ~p3_3(b_0(),e_0(),e_0()) ....... B0
% ~m3_3(x1,x2,x3) | ~p2_3(x0,x1,x3) | p3_3(x0,x1,x1) ....... B138
%  ~m3_3(e_0(), x0, x1) | ~p2_3(b_0(), e_0(), x1) ....... R1 [B0:L0, B138:L2]
%  m3_3(x0,x0,x0) ....... U119
%   ~p2_3(b_0(), e_0(), e_0()) ....... R2 [R1:L0, U119:L0]
% Derivation of unit clause U278:
% p0_2(b_0(),x0) ....... B2
% ~p0_2(x0,x1) | ~n1_3(x2,x1,x2) | ~p2_3(x0,x1,x0) | p2_3(x0,x1,x1) ....... B310
%  ~n1_3(x0, x1, x0) | ~p2_3(b_0(), x1, b_0()) | p2_3(b_0(), x1, x1) ....... R1 [B2:L0, B310:L0]
%  n1_3(e_0(),e_0(),e_0()) ....... U59
%   ~p2_3(b_0(), e_0(), b_0()) | p2_3(b_0(), e_0(), e_0()) ....... R2 [R1:L0, U59:L0]
%   p2_3(b_0(),e_0(),b_0()) ....... U112
%    p2_3(b_0(), e_0(), e_0()) ....... R3 [R2:L0, U112:L0]
% Derivation of the empty clause:
% p2_3(b_0(),e_0(),e_0()) ....... U278
% ~p2_3(b_0(),e_0(),e_0()) ....... U134
%  [] ....... R1 [U278:L0, U134:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 8300
% 	resolvents: 8195	factors: 105
% Number of unit clauses generated: 2819
% % unit clauses generated to total clauses generated: 33.96
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 39	[1] = 94	[2] = 111	[3] = 35	
% Total = 279
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 2819	[2] = 4190	[3] = 1291	
% 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		(+)6	(-)0
% [14] s0_1		(+)2	(-)0
% [15] s1_1		(+)5	(-)0
% [16] s2_1		(+)1	(-)0
% [17] s4_1		(+)0	(-)0
% [18] s5_1		(+)0	(-)0
% [19] k2_2		(+)6	(-)0
% [20] l1_2		(+)6	(-)1
% [21] l2_2		(+)6	(-)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	(-)1
% [37] m1_3		(+)27	(-)0
% [38] m3_3		(+)6	(-)1
% [39] n1_3		(+)23	(-)0
% [40] p1_3		(+)21	(-)0
% [41] p2_3		(+)18	(-)1
% [42] p3_3		(+)6	(-)1
% [43] p4_3		(+)6	(-)0
% [44] p5_3		(+)0	(-)0
% [45] q1_3		(+)37	(-)0
% [46] q2_3		(+)16	(-)1
% [47] r3_3		(+)7	(-)0
% 			------------------
% 		Total:	(+)273	(-)6
% Total number of unit clauses retained: 279
% Number of clauses skipped because of their length: 102005
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 342
% Number of successful unifications: 8311
% Number of unification failures: 4995
% Number of unit to unit unification failures: 61
% N literal unification failure due to lookup root_id table: 24329
% N base clause resolution failure due to lookup table: 119519
% N UC-BCL resolution dropped due to lookup table: 19
% Max entries in substitution set: 9
% N unit clauses dropped because they exceeded max values: 1956
% 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: 305
% Total number of terms of all unit clauses in table: 702
% 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: 0.43
% Number of symbols (columns) in UCFA: 87
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 13306
% ConstructUnitClause() = 2196
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.27 secs
% 
%------------------------------------------------------------------------------