TSTP Solution File: SYN144-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN144-1 : TPTP v5.0.0. Released v1.1.0.
% Transfm  : add_equality
% Format   : carine
% Command  : carine %s t=%d xo=off uct=32000

% Computer : art05.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 08:36:33 EST 2010

% Result   : Unsatisfiable 0.42s
% Output   : Refutation 0.42s
% 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/SystemOnTPTP28588/SYN/SYN144-1+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 = 835] [nf = 0] [nu = 404] [ut = 133]
% Looking for a proof at depth = 2 ...
% 	t = 1 secs [nr = 6540] [nf = 78] [nu = 2297] [ut = 243]
% Looking for a proof at depth = 3 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~m5_2(e_0(),a_0())
% B2: p0_2(b_0(),x0)
% B9: r0_1(e_0())
% B13: n0_2(d_0(),e_0())
% B46: ~p2_3(x0,x2,x1) | r3_3(x0,x1,x0)
% B47: ~n0_2(x1,x0) | k1_1(x0)
% B133: ~n0_2(x2,x1) | ~p0_2(x3,x0) | q1_3(x0,x1,x0)
% B146: ~r0_1(x0) | ~p4_3(x0,x2,x1) | m5_2(x0,x1)
% B150: ~k1_1(x2) | ~p2_3(e_0(),x0,x1) | p2_3(x0,x1,x1)
% B205: ~r0_1(x0) | ~r3_3(x1,x0,x1) | p4_3(x0,x0,x1)
% Unit Clauses:
% --------------
% U9: < d0 v0 dv0 f0 c1 t1 td1 b > r0_1(e_0())
% U19: < d0 v0 dv0 f0 c2 t2 td1 b > n0_2(b_0(),a_0())
% U65: < d1 v0 dv0 f0 c1 t1 td1 > k1_1(e_0())
% U133: < d2 v1 dv1 f0 c2 t3 td1 > ~p4_3(e_0(),x0,a_0())
% U187: < d2 v0 dv0 f0 c3 t3 td1 > ~r3_3(a_0(),e_0(),a_0())
% U255: < d3 v2 dv1 f0 c1 t3 td1 > p2_3(x0,a_0(),x0)
% U378: < d3 v0 dv0 f0 c3 t3 td1 > ~p2_3(e_0(),a_0(),e_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U9:
% r0_1(e_0()) ....... U9
% Derivation of unit clause U19:
% n0_2(b_0(),a_0()) ....... U19
% Derivation of unit clause U65:
% n0_2(d_0(),e_0()) ....... B13
% ~n0_2(x1,x0) | k1_1(x0) ....... B47
%  k1_1(e_0()) ....... R1 [B13:L0, B47:L0]
% Derivation of unit clause U133:
% ~m5_2(e_0(),a_0()) ....... B0
% ~r0_1(x0) | ~p4_3(x0,x2,x1) | m5_2(x0,x1) ....... B146
%  ~r0_1(e_0()) | ~p4_3(e_0(), x0, a_0()) ....... R1 [B0:L0, B146:L2]
%  r0_1(e_0()) ....... U9
%   ~p4_3(e_0(), x0, a_0()) ....... R2 [R1:L0, U9:L0]
% Derivation of unit clause U187:
% r0_1(e_0()) ....... B9
% ~r0_1(x0) | ~r3_3(x1,x0,x1) | p4_3(x0,x0,x1) ....... B205
%  ~r3_3(x0, e_0(), x0) | p4_3(e_0(), e_0(), x0) ....... R1 [B9:L0, B205:L0]
%  ~p4_3(e_0(),x0,a_0()) ....... U133
%   ~r3_3(a_0(), e_0(), a_0()) ....... R2 [R1:L1, U133:L0]
% Derivation of unit clause U255:
% p0_2(b_0(),x0) ....... B2
% ~n0_2(x2,x1) | ~p0_2(x3,x0) | q1_3(x0,x1,x0) ....... B133
%  ~n0_2(x0, x1) | q1_3(x2, x1, x2) ....... R1 [B2:L0, B133:L1]
%  ~q1_3(x0,a_0(),x0) | p2_3(x0,a_0(),x0) ....... B105
%   ~n0_2(x0, a_0()) | p2_3(x1, a_0(), x1) ....... R2 [R1:L1, B105:L0]
%   n0_2(b_0(),a_0()) ....... U19
%    p2_3(x0, a_0(), x0) ....... R3 [R2:L0, U19:L0]
% Derivation of unit clause U378:
% ~p2_3(x0,x2,x1) | r3_3(x0,x1,x0) ....... B46
% ~k1_1(x2) | ~p2_3(e_0(),x0,x1) | p2_3(x0,x1,x1) ....... B150
%  r3_3(x0, x1, x0) | ~k1_1(x2) | ~p2_3(e_0(), x0, x1) ....... R1 [B46:L0, B150:L2]
%  ~r3_3(a_0(),e_0(),a_0()) ....... U187
%   ~k1_1(x0) | ~p2_3(e_0(), a_0(), e_0()) ....... R2 [R1:L0, U187:L0]
%   k1_1(e_0()) ....... U65
%    ~p2_3(e_0(), a_0(), e_0()) ....... R3 [R2:L0, U65:L0]
% Derivation of the empty clause:
% ~p2_3(e_0(),a_0(),e_0()) ....... U378
% p2_3(x0,a_0(),x0) ....... U255
%  [] ....... R1 [U378:L0, U255:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 39760
% 	resolvents: 39411	factors: 349
% Number of unit clauses generated: 15383
% % unit clauses generated to total clauses generated: 38.69
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 39	[1] = 94	[2] = 110	[3] = 136	
% Total = 379
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 15383	[2] = 19331	[3] = 5046	
% 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		(+)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		(+)5	(-)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		(+)7	(-)0
% [21] l2_2		(+)14	(-)0
% [22] l3_2		(+)12	(-)0
% [23] m4_2		(+)0	(-)0
% [24] m5_2		(+)2	(-)1
% [25] n0_2		(+)8	(-)0
% [26] n4_2		(+)0	(-)0
% [27] n5_2		(+)1	(-)0
% [28] p0_2		(+)4	(-)0
% [29] q0_2		(+)8	(-)0
% [30] q3_2		(+)4	(-)0
% [31] q4_2		(+)0	(-)0
% [32] q5_2		(+)0	(-)0
% [33] r5_2		(+)0	(-)0
% [34] s3_2		(+)2	(-)0
% [35] k3_3		(+)24	(-)0
% [36] m0_3		(+)10	(-)0
% [37] m1_3		(+)35	(-)0
% [38] m3_3		(+)7	(-)0
% [39] n1_3		(+)32	(-)0
% [40] p1_3		(+)29	(-)0
% [41] p2_3		(+)30	(-)2
% [42] p3_3		(+)6	(-)0
% [43] p4_3		(+)9	(-)1
% [44] p5_3		(+)0	(-)0
% [45] q1_3		(+)42	(-)0
% [46] q2_3		(+)20	(-)0
% [47] r3_3		(+)11	(-)1
% 			------------------
% 		Total:	(+)374	(-)5
% Total number of unit clauses retained: 379
% Number of clauses skipped because of their length: 592800
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 6300
% Number of successful unifications: 39771
% Number of unification failures: 41937
% Number of unit to unit unification failures: 66
% N literal unification failure due to lookup root_id table: 173966
% N base clause resolution failure due to lookup table: 636806
% N UC-BCL resolution dropped due to lookup table: 126
% Max entries in substitution set: 9
% N unit clauses dropped because they exceeded max values: 13152
% 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: 365
% Total number of terms of all unit clauses in table: 966
% 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: 0.38
% Number of symbols (columns) in UCFA: 87
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 81708
% ConstructUnitClause() = 13492
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.01 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.42 secs
% 
%------------------------------------------------------------------------------