%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT077-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n116.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:26:13 EDT 2014

% Result   : Timeout 300.04s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT077-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n116.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun  5 20:20:23 CDT 2014
% % CPUTime  : 300.04 
% Processing problem /tmp/CiME_40431_n116.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant;  f : 2;";
% let X = vars "B A C D";
% let Axioms = equations F X "
% f(f(f(f(B,A),f(C,A)),D),f(A,f(f(f(f(f(f(B,B),A),C),C),A),B))) = A;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% f lr_lex;
% ";
% 
% let p1 = precedence F "
% f > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% f mul;
% ";
% 
% let p2 = precedence F "
% f > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " f(a,f(b,f(a,f(c,c)))) = f(a,f(c,f(a,f(b,b))));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { f(f(f(f(B,A),f(C,A)),D),f(A,f(f(f(f(f(f(B,B),A),C),C),A),B)))
% = A } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { f(a,f(b,f(a,f(c,c)))) =
% f(a,f(c,f(a,f(b,b)))) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1] f(f(f(f(B,A),f(C,A)),D),f(A,f(f(f(f(f(f(B,B),A),C),C),A),B))) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% f(B,f(f(A,B),f(f(f(f(f(f(f(C,B),f(C,B)),f(A,B)),D),D),f(A,B)),f(C,B)))) ->
% f(A,B)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3] f(f(B,f(f(A,C),f(D,C))),f(C,f(f(f(f(f(f(A,A),C),D),D),C),A))) -> C
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% f(B,f(f(A,B),f(f(f(f(f(f(C,C),f(A,B)),f(D,B)),f(D,B)),f(A,B)),C))) -> f(A,B)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] f(f(B,A),f(f(f(C,A),f(B,A)),A)) -> f(f(C,A),f(B,A))
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6] f(f(f(f(B,A),f(C,A)),A),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% f(f(f(f(B,f(A,B)),f(B,f(A,B))),C),f(f(f(f(f(B,B),f(A,B)),B),B),f(A,B))) ->
% f(A,B)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8] f(f(f(f(f(f(B,B),f(A,B)),B),B),f(A,B)),f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] f(f(f(B,A),f(B,A)),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10] f(f(f(f(B,A),f(f(B,A),f(B,A))),f(B,A)),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] f(f(B,A),f(A,f(f(f(f(f(f(B,B),A),B),B),A),B))) -> A
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] f(f(B,B),f(B,B)) -> B
% Rule [9] f(f(f(B,A),f(B,A)),f(f(B,A),f(B,A))) -> f(B,A) collapsed.
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [13] f(f(f(B,f(B,B)),B),f(B,B)) -> B
% Rule [10] f(f(f(f(B,A),f(f(B,A),f(B,A))),f(B,A)),f(f(B,A),f(B,A))) -> f(B,A)
% collapsed.
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [14] f(f(B,A),f(A,f(f(f(f(f(f(C,C),A),B),B),A),C))) -> A
% Rule [11] f(f(B,A),f(A,f(f(f(f(f(f(B,B),A),B),B),A),B))) -> A collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [15] f(f(f(f(B,B),B),f(B,B)),B) -> f(B,B)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [16] f(B,f(f(f(A,f(B,B)),B),f(B,B))) -> f(f(A,f(B,B)),B)
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [17] f(f(B,A),f(B,f(f(f(f(f(f(B,B),B),B),B),B),B))) -> B
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [18] f(f(B,A),f(A,f(f(f(f(f(f(A,A),A),A),A),A),A))) -> A
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [19] f(f(f(B,A),f(C,A)),f(f(B,A),f(C,A))) -> f(f(f(B,A),f(C,A)),A)
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [20] f(f(B,f(A,A)),f(f(A,f(B,f(A,A))),f(A,A))) -> f(A,f(B,f(A,A)))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [21] f(f(f(f(B,f(A,A)),A),f(A,A)),A) -> f(f(B,f(A,A)),A)
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [22] f(f(f(f(f(B,B),B),f(f(B,B),B)),A),f(f(B,f(B,B)),B)) -> B
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [23] f(B,f(f(B,B),f(f(f(f(B,f(A,B)),f(A,B)),f(B,B)),B))) -> f(B,B)
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [24] f(f(B,f(A,B)),f(f(f(f(f(B,B),f(A,B)),B),B),f(A,B))) -> f(A,B)
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [25] f(B,f(f(A,B),f(f(f(f(f(B,f(A,B)),C),C),f(A,B)),f(B,B)))) -> f(A,B)
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [26] f(f(f(f(B,f(B,B)),f(B,f(B,B))),A),f(f(f(B,B),B),f(B,B))) -> f(B,B)
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [27] f(f(B,f(f(A,C),f(D,C))),f(f(f(A,C),f(D,C)),C)) -> f(f(A,C),f(D,C))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [28] f(f(B,A),f(A,f(f(f(f(f(C,A),B),B),A),f(C,C)))) -> A
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [29] f(f(f(B,B),B),f(B,B)) -> B
% Rule [15] f(f(f(f(B,B),B),f(B,B)),B) -> f(B,B) collapsed.
% Rule [26] f(f(f(f(B,f(B,B)),f(B,f(B,B))),A),f(f(f(B,B),B),f(B,B))) -> f(B,B)
% collapsed.
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [30] f(f(f(f(B,f(B,B)),f(B,f(B,B))),A),B) -> f(B,B)
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [31] f(f(B,f(A,A)),f(f(A,A),f(f(f(f(A,B),B),f(A,A)),A))) -> f(A,A)
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [32] f(f(B,f(B,B)),B) -> f(B,B)
% Rule [13] f(f(f(B,f(B,B)),B),f(B,B)) -> B collapsed.
% Rule [22] f(f(f(f(f(B,B),B),f(f(B,B),B)),A),f(f(B,f(B,B)),B)) -> B collapsed.
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [33] f(f(f(f(f(B,B),B),f(f(B,B),B)),A),f(B,B)) -> B
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [34] f(f(B,A),f(A,f(f(f(f(f(f(B,B),A),C),C),A),B))) -> A
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [35] f(f(f(B,f(B,f(f(f(f(f(f(B,B),B),B),B),B),B))),B),f(B,B)) -> B
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [36] f(f(A,f(B,f(f(f(f(f(f(B,B),B),B),B),B),B))),B) -> f(B,B)
% Rule [35] f(f(f(B,f(B,f(f(f(f(f(f(B,B),B),B),B),B),B))),B),f(B,B)) -> B
% collapsed.
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [37] f(B,f(A,f(B,f(f(f(f(f(f(B,B),B),B),B),B),B)))) -> f(B,B)
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [38] f(B,f(f(f(f(f(f(B,B),B),B),B),B),B)) -> f(B,B)
% Rule [17] f(f(B,A),f(B,f(f(f(f(f(f(B,B),B),B),B),B),B))) -> B collapsed.
% Rule [18] f(f(B,A),f(A,f(f(f(f(f(f(A,A),A),A),A),A),A))) -> A collapsed.
% Rule [36] f(f(A,f(B,f(f(f(f(f(f(B,B),B),B),B),B),B))),B) -> f(B,B) collapsed.
% Rule [37] f(B,f(A,f(B,f(f(f(f(f(f(B,B),B),B),B),B),B)))) -> f(B,B) collapsed.
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [39] f(f(B,A),f(B,B)) -> B
% Rule [12] f(f(B,B),f(B,B)) -> B collapsed.
% Rule [20] f(f(B,f(A,A)),f(f(A,f(B,f(A,A))),f(A,A))) -> f(A,f(B,f(A,A)))
% collapsed.
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [40] f(f(B,A),f(A,A)) -> A
% Rule [8] f(f(f(f(f(f(B,B),f(A,B)),B),B),f(A,B)),f(f(A,B),f(A,B))) -> f(A,B)
% collapsed.
% Rule [16] f(B,f(f(f(A,f(B,B)),B),f(B,B))) -> f(f(A,f(B,B)),B) collapsed.
% Rule [21] f(f(f(f(B,f(A,A)),A),f(A,A)),A) -> f(f(B,f(A,A)),A) collapsed.
% Rule [29] f(f(f(B,B),B),f(B,B)) -> B collapsed.
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [41] f(f(A,f(B,B)),B) -> f(B,B)
% Rule [23] f(B,f(f(B,B),f(f(f(f(B,f(A,B)),f(A,B)),f(B,B)),B))) -> f(B,B)
% collapsed.
% Rule [31] f(f(B,f(A,A)),f(f(A,A),f(f(f(f(A,B),B),f(A,A)),A))) -> f(A,A)
% collapsed.
% Rule [32] f(f(B,f(B,B)),B) -> f(B,B) collapsed.
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [42] f(B,f(A,f(B,B))) -> f(B,B)
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [43] f(B,f(f(f(f(f(f(A,A),B),C),C),B),A)) -> f(B,B)
% Rule [1] f(f(f(f(B,A),f(C,A)),D),f(A,f(f(f(f(f(f(B,B),A),C),C),A),B))) -> A
% collapsed.
% Rule
% [2]
% f(B,f(f(A,B),f(f(f(f(f(f(f(C,B),f(C,B)),f(A,B)),D),D),f(A,B)),f(C,B)))) ->
% f(A,B) collapsed.
% Rule [3] f(f(B,f(f(A,C),f(D,C))),f(C,f(f(f(f(f(f(A,A),C),D),D),C),A))) -> C
% collapsed.
% Rule
% [4]
% f(B,f(f(A,B),f(f(f(f(f(f(C,C),f(A,B)),f(D,B)),f(D,B)),f(A,B)),C))) -> f(A,B)
% collapsed.
% Rule [14] f(f(B,A),f(A,f(f(f(f(f(f(C,C),A),B),B),A),C))) -> A collapsed.
% Rule [34] f(f(B,A),f(A,f(f(f(f(f(f(B,B),A),C),C),A),B))) -> A collapsed.
% Rule [38] f(B,f(f(f(f(f(f(B,B),B),B),B),B),B)) -> f(B,B) collapsed.
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [44] f(f(f(f(B,A),f(C,A)),D),f(A,A)) -> A
% Rule [33] f(f(f(f(f(B,B),B),f(f(B,B),B)),A),f(B,B)) -> B collapsed.
% Current number of equations to process: 311
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [45] f(B,f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [46] f(f(B,f(f(A,C),f(D,C))),f(C,C)) -> C
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [47] f(f(f(f(f(B,A),f(C,A)),A),f(C,A)),A) -> f(f(f(B,A),f(C,A)),A)
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [48] f(f(f(f(B,A),f(C,A)),A),f(C,A)) -> f(f(B,A),f(C,A))
% Rule [47] f(f(f(f(f(B,A),f(C,A)),A),f(C,A)),A) -> f(f(f(B,A),f(C,A)),A)
% collapsed.
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [49] f(B,f(f(A,B),f(f(f(f(f(C,B),f(C,B)),f(A,B)),f(A,B)),f(C,B)))) -> f(A,B)
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [50] f(f(D,f(f(f(B,A),f(C,A)),A)),f(f(B,A),f(C,A))) -> f(f(f(B,A),f(C,A)),A)
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [51] f(f(f(B,A),f(B,A)),A) -> f(B,A)
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [52] f(f(f(B,B),A),B) -> f(B,B)
% Rule
% [7]
% f(f(f(f(B,f(A,B)),f(B,f(A,B))),C),f(f(f(f(f(B,B),f(A,B)),B),B),f(A,B))) ->
% f(A,B) collapsed.
% Rule [24] f(f(B,f(A,B)),f(f(f(f(f(B,B),f(A,B)),B),B),f(A,B))) -> f(A,B)
% collapsed.
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [53] f(B,f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [54] f(f(B,A),f(A,f(f(f(B,A),A),f(B,B)))) -> A
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [55] f(f(f(B,B),B),f(B,f(f(B,B),f(A,A)))) -> B
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [56] f(f(B,B),f(A,B)) -> B
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [57] f(f(B,f(A,B)),f(f(f(B,B),B),f(A,B))) -> f(A,B)
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [58] f(B,f(f(f(f(A,A),A),B),f(A,f(A,A)))) -> f(B,B)
% Current number of equations to process: 426
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [59] f(B,f(f(A,B),f(f(f(A,B),f(A,B)),f(B,B)))) -> f(A,B)
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [60] f(f(f(B,B),A),f(A,f(f(f(B,f(B,B)),A),f(B,B)))) -> A
% Current number of equations to process: 438
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [61] f(B,f(f(B,B),A)) -> f(B,B)
% Rule [55] f(f(f(B,B),B),f(B,f(f(B,B),f(A,A)))) -> B collapsed.
% Rule [59] f(B,f(f(A,B),f(f(f(A,B),f(A,B)),f(B,B)))) -> f(A,B) collapsed.
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [62] f(B,f(f(f(f(A,A),B),B),A)) -> f(B,B)
% Rule
% [49] f(B,f(f(A,B),f(f(f(f(f(C,B),f(C,B)),f(A,B)),f(A,B)),f(C,B)))) -> f(A,B)
% collapsed.
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [63] f(B,f(f(f(f(f(A,B),C),C),B),f(A,A))) -> f(B,B)
% Rule [25] f(B,f(f(A,B),f(f(f(f(f(B,f(A,B)),C),C),f(A,B)),f(B,B)))) -> f(A,B)
% collapsed.
% Rule [28] f(f(B,A),f(A,f(f(f(f(f(C,A),B),B),A),f(C,C)))) -> A collapsed.
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [64] f(B,f(f(f(A,f(A,A)),B),f(C,A))) -> f(B,B)
% Rule [60] f(f(f(B,B),A),f(A,f(f(f(B,f(B,B)),A),f(B,B)))) -> A collapsed.
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 26
% Rule [19] f(f(f(B,A),f(C,A)),f(f(B,A),f(C,A))) -> f(f(f(B,A),f(C,A)),A) is composed into 
% [19] f(f(f(B,A),f(C,A)),f(f(B,A),f(C,A))) -> f(A,f(f(B,A),f(C,A)))
% New rule produced : [65] f(f(f(A,B),f(C,B)),B) -> f(B,f(f(A,B),f(C,B)))
% Rule [5] f(f(B,A),f(f(f(C,A),f(B,A)),A)) -> f(f(C,A),f(B,A)) collapsed.
% Rule [6] f(f(f(f(B,A),f(C,A)),A),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A))
% collapsed.
% Rule [27] f(f(B,f(f(A,C),f(D,C))),f(f(f(A,C),f(D,C)),C)) -> f(f(A,C),f(D,C))
% collapsed.
% Rule [48] f(f(f(f(B,A),f(C,A)),A),f(C,A)) -> f(f(B,A),f(C,A)) collapsed.
% Rule
% [50] f(f(D,f(f(f(B,A),f(C,A)),A)),f(f(B,A),f(C,A))) -> f(f(f(B,A),f(C,A)),A)
% collapsed.
% Rule [51] f(f(f(B,A),f(B,A)),A) -> f(B,A) collapsed.
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [66] f(f(B,A),f(A,f(f(C,A),f(B,A)))) -> f(f(C,A),f(B,A))
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [67] f(f(B,B),f(B,A)) -> B
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [68] f(B,f(f(f(f(A,A),A),B),A)) -> f(B,B)
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [69] f(f(A,f(f(B,A),f(C,A))),f(C,A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [70] f(f(f(f(B,f(A,A)),f(C,f(A,A))),D),A) -> f(A,A)
% Rule [30] f(f(f(f(B,f(B,B)),f(B,f(B,B))),A),B) -> f(B,B) collapsed.
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [71] f(f(B,f(f(A,f(A,A)),f(A,f(A,A)))),A) -> f(A,A)
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [72] f(f(f(f(f(f(f(B,B),A),C),C),A),B),A) -> f(A,A)
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [73] f(f(B,f(f(A,f(C,C)),f(D,f(C,C)))),C) -> f(C,C)
% Rule [71] f(f(B,f(f(A,f(A,A)),f(A,f(A,A)))),A) -> f(A,A) collapsed.
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [74] f(f(B,A),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [75] f(B,f(f(f(A,B),B),f(A,A))) -> f(B,B)
% Rule [54] f(f(B,A),f(A,f(f(f(B,A),A),f(B,B)))) -> A collapsed.
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [76] f(f(f(f(f(B,B),A),A),B),A) -> f(A,A)
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [77] f(f(B,A),f(f(A,f(B,A)),A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [78] f(f(f(f(f(B,B),B),A),f(B,f(B,B))),A) -> f(A,A)
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [79] f(f(f(f(B,B),A),f(f(B,B),A)),f(B,B)) -> f(f(B,B),A)
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [80] f(C,C) <-> f(f(f(B,A),f(f(B,A),f(B,A))),C)
% Current number of equations to process: 605
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [81] f(f(f(B,A),f(f(B,A),f(B,A))),C) <-> f(C,C)
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [82] f(f(f(f(f(f(B,A),C),C),A),f(B,B)),A) -> f(A,A)
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [83] f(A,A) <-> f(f(B,f(B,B)),A)
% Rule [19] f(f(f(B,A),f(C,A)),f(f(B,A),f(C,A))) -> f(A,f(f(B,A),f(C,A)))
% collapsed.
% Rule [79] f(f(f(f(B,B),A),f(f(B,B),A)),f(B,B)) -> f(f(B,B),A) collapsed.
% Rule [80] f(C,C) <-> f(f(f(B,A),f(f(B,A),f(B,A))),C) collapsed.
% Current number of equations to process: 624
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [84] f(f(B,f(B,B)),A) <-> f(A,A)
% Rule [81] f(f(f(B,A),f(f(B,A),f(B,A))),C) <-> f(C,C) collapsed.
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [85] f(f(f(f(B,f(B,B)),A),f(C,B)),A) -> f(A,A)
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [86] f(B,f(f(f(A,B),B),f(A,B))) -> f(B,B)
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [87] f(f(f(B,A),f(B,A)),B) -> f(B,A)
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [88] f(f(f(f(f(B,B),B),A),B),A) -> f(A,A)
% Current number of equations to process: 740
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [89] f(f(f(B,B),B),f(A,B)) <-> f(f(A,B),f(A,B))
% Current number of equations to process: 752
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced : [90] f(f(A,B),f(A,B)) <-> f(f(f(B,B),B),f(A,B))
% Current number of equations to process: 752
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [91] f(f(B,A),f(f(B,f(B,A)),B)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [92] f(f(f(f(B,A),A),f(B,B)),A) -> f(A,A)
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [93] f(f(f(B,f(A,B)),B),f(A,B)) -> f(f(A,B),f(A,B))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [94] f(f(f(B,f(B,A)),B),f(B,A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [95] f(B,f(f(f(B,A),B),f(B,A))) -> f(B,B)
% Current number of equations to process: 966
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [96] f(f(A,f(A,A)),f(B,B)) -> B
% Current number of equations to process: 1068
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [97] f(f(B,A),f(f(C,f(C,C)),B)) -> B
% Current number of equations to process: 1067
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [98] f(f(B,A),f(f(C,f(C,C)),A)) -> A
% Current number of equations to process: 1066
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [99] f(f(f(B,f(B,B)),A),f(C,A)) -> A
% Current number of equations to process: 1072
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [100] f(f(f(B,f(B,B)),A),f(A,C)) -> A
% Current number of equations to process: 1081
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [101] f(A,A) <-> f(f(f(B,B),B),A)
% Rule [90] f(f(A,B),f(A,B)) <-> f(f(f(B,B),B),f(A,B)) collapsed.
% Current number of equations to process: 1092
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced : [102] f(f(f(B,B),B),A) <-> f(A,A)
% Rule [89] f(f(f(B,B),B),f(A,B)) <-> f(f(A,B),f(A,B)) collapsed.
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [103] f(B,f(f(A,f(A,A)),f(B,C))) -> f(B,C)
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [104] f(f(B,f(f(A,f(A,A)),C)),C) -> f(C,C)
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [105] f(B,f(A,f(f(C,f(C,C)),B))) -> f(B,B)
% Current number of equations to process: 1111
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [106] f(B,f(f(A,f(A,A)),f(C,B))) -> f(C,B)
% Current number of equations to process: 1110
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [107] f(f(f(f(B,f(B,B)),A),C),A) -> f(A,A)
% Rule [85] f(f(f(f(B,f(B,B)),A),f(C,B)),A) -> f(A,A) collapsed.
% Current number of equations to process: 1109
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [108] f(B,f(f(f(A,f(A,A)),B),C)) -> f(B,B)
% Rule [64] f(B,f(f(f(A,f(A,A)),B),f(C,A))) -> f(B,B) collapsed.
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [109] f(f(f(B,f(B,B)),f(A,C)),C) -> f(A,C)
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [110] f(C,C) <-> f(f(B,f(f(A,f(A,A)),B)),C)
% Current number of equations to process: 1106
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced : [111] f(f(B,f(f(A,f(A,A)),B)),C) <-> f(C,C)
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [112] f(f(f(A,B),B),f(A,B)) -> B
% Rule [86] f(B,f(f(f(A,B),B),f(A,B))) -> f(B,B) collapsed.
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [113] f(f(f(f(B,A),B),f(B,A)),B) -> f(B,B)
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [114] f(f(f(B,f(B,B)),f(A,C)),A) -> f(A,C)
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [115] f(f(B,B),f(A,f(f(C,B),f(D,B)))) -> B
% Current number of equations to process: 1133
% Current number of ordered equations: 2
% Current number of rules: 59
% New rule produced : [116] f(f(B,f(f(A,C),f(D,A))),f(A,A)) -> A
% Current number of equations to process: 1133
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced : [117] f(f(B,f(f(A,C),f(C,D))),f(C,C)) -> C
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [118] f(f(B,B),f(f(f(A,B),f(C,B)),D)) -> B
% Current number of equations to process: 1130
% Current number of ordered equations: 2
% Current number of rules: 62
% New rule produced : [119] f(f(f(f(B,A),f(C,B)),D),f(B,B)) -> B
% Current number of equations to process: 1130
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced : [120] f(f(f(f(B,A),f(A,C)),D),f(A,A)) -> A
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [121] f(f(f(B,A),f(C,B)),B) -> f(B,f(f(B,A),f(C,B)))
% Current number of equations to process: 1128
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced : [122] f(f(f(B,A),f(A,C)),A) -> f(A,f(f(B,A),f(A,C)))
% Rule [113] f(f(f(f(B,A),B),f(B,A)),B) -> f(B,B) collapsed.
% Current number of equations to process: 1128
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [123] f(f(f(B,B),B),f(A,A)) -> A
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [124] f(f(B,B),f(A,f(A,A))) -> B
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [125] f(f(B,f(B,B)),f(f(A,f(A,A)),C)) -> C
% Current number of equations to process: 1249
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced : [126] f(f(B,f(f(A,f(A,A)),B)),f(C,C)) -> C
% Current number of equations to process: 1249
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [127] f(f(B,A),f(f(f(C,C),C),B)) -> B
% Current number of equations to process: 1252
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [128] f(f(B,A),f(f(f(C,C),C),A)) -> A
% Rule [57] f(f(B,f(A,B)),f(f(f(B,B),B),f(A,B))) -> f(A,B) collapsed.
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [129] f(f(f(f(B,B),B),A),f(C,A)) -> A
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [130] f(f(f(B,A),B),f(B,A)) -> B
% Rule [95] f(B,f(f(f(B,A),B),f(B,A))) -> f(B,B) collapsed.
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [131] f(f(f(f(B,B),B),A),f(A,C)) -> A
% Current number of equations to process: 1330
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [132] f(A,f(A,A)) <-> f(B,f(B,B))
% Current number of equations to process: 1360
% Current number of ordered equations: 0
% Current number of rules: 73
% Rule [101] f(A,A) <-> f(f(f(B,B),B),A) is composed into [101]
% f(A,A) <->
% f(f(B,f(B,B)),A)
% New rule produced : [133] f(f(f(C,C),C),A) <-> f(f(B,f(B,B)),A)
% Rule [58] f(B,f(f(f(f(A,A),A),B),f(A,f(A,A)))) -> f(B,B) collapsed.
% Rule [68] f(B,f(f(f(f(A,A),A),B),A)) -> f(B,B) collapsed.
% Rule [78] f(f(f(f(f(B,B),B),A),f(B,f(B,B))),A) -> f(A,A) collapsed.
% Rule [88] f(f(f(f(f(B,B),B),A),B),A) -> f(A,A) collapsed.
% Rule [102] f(f(f(B,B),B),A) <-> f(A,A) collapsed.
% Rule [123] f(f(f(B,B),B),f(A,A)) -> A collapsed.
% Rule [127] f(f(B,A),f(f(f(C,C),C),B)) -> B collapsed.
% Rule [128] f(f(B,A),f(f(f(C,C),C),A)) -> A collapsed.
% Rule [129] f(f(f(f(B,B),B),A),f(C,A)) -> A collapsed.
% Rule [131] f(f(f(f(B,B),B),A),f(A,C)) -> A collapsed.
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [134] f(B,B) <-> f(B,f(A,f(A,A)))
% Current number of equations to process: 1421
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced : [135] f(B,f(A,f(A,A))) <-> f(B,B)
% Current number of equations to process: 1421
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [136] f(C,C) <-> f(f(f(f(B,f(B,B)),A),A),C)
% Current number of equations to process: 1625
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced : [137] f(f(f(f(B,f(B,B)),A),A),C) <-> f(C,C)
% Current number of equations to process: 1625
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [138] f(f(B,f(A,B)),B) -> f(A,B)
% Rule [77] f(f(B,A),f(f(A,f(B,A)),A)) -> f(f(B,A),f(B,A)) collapsed.
% Rule [93] f(f(f(B,f(A,B)),B),f(A,B)) -> f(f(A,B),f(A,B)) collapsed.
% Current number of equations to process: 1631
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [139] f(f(B,f(B,A)),B) -> f(B,A)
% Rule [91] f(f(B,A),f(f(B,f(B,A)),B)) -> f(f(B,A),f(B,A)) collapsed.
% Rule [94] f(f(f(B,f(B,A)),B),f(B,A)) -> f(f(B,A),f(B,A)) collapsed.
% Current number of equations to process: 1637
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [140] f(B,f(A,f(A,A))) <-> f(f(A,f(A,A)),B)
% Current number of equations to process: 1644
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced : [141] f(f(A,f(A,A)),B) <-> f(B,f(A,f(A,A)))
% Current number of equations to process: 1644
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [142] f(f(f(B,f(B,B)),A),f(C,f(C,C))) -> A
% Current number of equations to process: 1669
% Current number of ordered equations: 0
% Current number of rules: 69
% Rule [110] f(C,C) <-> f(f(B,f(f(A,f(A,A)),B)),C) is composed into [110]
% f(C,C) <->
% f(f(c,
% f(c,c)),C)
% New rule produced : [143] f(f(C,f(f(D,f(D,D)),C)),A) <-> f(f(B,f(B,B)),A)
% Rule [111] f(f(B,f(f(A,f(A,A)),B)),C) <-> f(C,C) collapsed.
% Rule [126] f(f(B,f(f(A,f(A,A)),B)),f(C,C)) -> C collapsed.
% Current number of equations to process: 1668
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [144] f(f(B,B),f(A,f(f(B,C),f(D,B)))) -> B
% Current number of equations to process: 1724
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced : [145] f(f(B,B),f(A,f(f(C,B),f(B,D)))) -> B
% Current number of equations to process: 1724
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [146] f(f(B,f(f(A,C),f(A,D))),f(A,A)) -> A
% Current number of equations to process: 1767
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [147] f(f(B,B),f(f(f(B,A),f(C,B)),D)) -> B
% Current number of equations to process: 1863
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced : [148] f(f(B,B),f(f(f(A,B),f(B,C)),D)) -> B
% Current number of equations to process: 1863
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [149] f(f(f(f(B,A),f(B,C)),D),f(B,B)) -> B
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [150] f(f(f(B,A),f(B,C)),B) -> f(B,f(f(B,A),f(B,C)))
% Rule [87] f(f(f(B,A),f(B,A)),B) -> f(B,A) collapsed.
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [151] f(f(B,B),f(f(A,A),A)) -> B
% Current number of equations to process: 2051
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [152] f(f(B,f(A,f(A,A))),B) -> f(A,f(A,A))
% Current number of equations to process: 2068
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [153] f(f(B,B),f(A,f(f(C,f(C,C)),A))) -> B
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [154] f(B,f(f(A,f(A,A)),B)) -> f(A,f(A,A))
% Rule [143] f(f(C,f(f(D,f(D,D)),C)),A) <-> f(f(B,f(B,B)),A) collapsed.
% Rule [153] f(f(B,B),f(A,f(f(C,f(C,C)),A))) -> B collapsed.
% Current number of equations to process: 2083
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [155] f(B,f(f(A,B),B)) -> f(A,B)
% Current number of equations to process: 2101
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [156] f(B,f(f(B,A),B)) -> f(B,A)
% Current number of equations to process: 2117
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [157] f(A,f(A,A)) <-> f(f(B,B),B)
% Current number of equations to process: 2118
% Current number of ordered equations: 1
% Current number of rules: 79
% Rule [157] f(A,f(A,A)) <-> f(f(B,B),B) is composed into [157]
% f(A,f(A,A)) <->
% f(c,f(c,c))
% New rule produced : [158] f(f(B,B),B) <-> f(A,f(A,A))
% Rule [133] f(f(f(C,C),C),A) <-> f(f(B,f(B,B)),A) collapsed.
% Rule [151] f(f(B,B),f(f(A,A),A)) -> B collapsed.
% Current number of equations to process: 2118
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [159] f(A,f(C,f(C,C))) <-> f(f(B,f(B,B)),A)
% Rule [140] f(B,f(A,f(A,A))) <-> f(f(A,f(A,A)),B) collapsed.
% Rule [142] f(f(f(B,f(B,B)),A),f(C,f(C,C))) -> A collapsed.
% Current number of equations to process: 2142
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced : [160] f(f(B,f(B,B)),A) <-> f(A,f(C,f(C,C)))
% Rule [141] f(f(A,f(A,A)),B) <-> f(B,f(A,f(A,A))) collapsed.
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [161] f(f(B,f(A,f(A,A))),f(C,B)) -> B
% Current number of equations to process: 2154
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [162] f(f(B,f(A,f(A,A))),f(B,C)) -> B
% Current number of equations to process: 2153
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [163] f(f(B,A),f(B,f(C,f(C,C)))) -> B
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [164] f(f(B,A),f(A,f(C,f(C,C)))) -> A
% Current number of equations to process: 2151
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [165] f(B,f(B,f(A,f(A,A)))) <-> f(C,f(C,C))
% Current number of equations to process: 2202
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced : [166] f(C,f(C,C)) <-> f(B,f(B,f(A,f(A,A))))
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [167] f(C,C) <-> f(f(B,f(B,f(A,f(A,A)))),C)
% Current number of equations to process: 2253
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced : [168] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,C)
% Current number of equations to process: 2253
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [169] f(B,f(f(B,A),f(C,f(C,C)))) -> f(B,A)
% Current number of equations to process: 2252
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [170] f(f(B,f(A,f(C,f(C,C)))),A) -> f(A,A)
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [171] f(B,f(A,f(B,f(C,f(C,C))))) -> f(B,B)
% Current number of equations to process: 2250
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [172] f(B,f(f(A,B),f(C,f(C,C)))) -> f(A,B)
% Current number of equations to process: 2249
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [173] f(f(f(B,f(A,f(A,A))),C),B) -> f(B,B)
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [174] f(B,f(f(B,f(A,f(A,A))),C)) -> f(B,B)
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [175] f(f(f(B,A),f(C,f(C,C))),A) -> f(B,A)
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [176] f(f(f(f(B,f(B,B)),A),A),f(C,C)) -> C
% Current number of equations to process: 2244
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [177] f(f(c,f(c,c)),f(B,f(A,f(A,A)))) -> B
% Current number of equations to process: 2243
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [178] f(f(B,f(B,f(A,f(A,A)))),f(C,C)) -> C
% Current number of equations to process: 2241
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced : [179] f(f(B,f(B,B)),f(A,f(C,f(C,C)))) -> A
% Rule [177] f(f(c,f(c,c)),f(B,f(A,f(A,A)))) -> B collapsed.
% Current number of equations to process: 2241
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [180] f(f(B,f(A,f(A,A))),f(C,f(C,C))) -> B
% Current number of equations to process: 2238
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [181] f(C,f(C,C)) <-> f(f(f(B,f(B,B)),A),A)
% Current number of equations to process: 2313
% Current number of ordered equations: 1
% Current number of rules: 97
% Rule [181] f(C,f(C,C)) <-> f(f(f(B,f(B,B)),A),A) is composed into [181]
% f(C,f(C,C))
% <->
% f(c,f(c,c))
% Rule [136] f(C,C) <-> f(f(f(f(B,f(B,B)),A),A),C) is composed into [136]
% f(C,C) <->
% f(f(c,
% f(c,c)),C)
% New rule produced : [182] f(f(f(B,f(B,B)),A),A) <-> f(C,f(C,C))
% Rule [137] f(f(f(f(B,f(B,B)),A),A),C) <-> f(C,C) collapsed.
% Rule [176] f(f(f(f(B,f(B,B)),A),A),f(C,C)) -> C collapsed.
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [183] f(f(B,A),f(A,f(B,A))) -> A
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [184] f(f(B,A),f(B,f(B,A))) -> B
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [185] f(f(f(A,B),f(C,B)),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 2381
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [186] f(f(B,B),f(f(A,B),f(C,B))) -> f(B,f(B,B))
% Current number of equations to process: 2380
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [187] f(f(B,B),f(A,f(f(B,C),f(B,D)))) -> B
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [188] f(f(B,B),f(f(B,A),f(C,B))) -> f(B,f(B,B))
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [189] f(f(B,B),f(f(A,B),f(B,C))) -> f(B,f(B,B))
% Current number of equations to process: 2486
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [190] f(f(B,B),f(f(f(B,A),f(B,C)),D)) -> B
% Current number of equations to process: 2591
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [191] f(f(f(B,A),f(C,B)),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 2590
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [192] f(f(f(A,B),f(B,C)),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 2641
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [193] f(f(f(B,A),f(C,f(C,C))),B) -> f(B,A)
% Current number of equations to process: 2730
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [194] f(f(f(B,A),f(B,C)),f(B,B)) -> f(c,f(c,c))
% Current number of equations to process: 3029
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [195] f(f(B,B),f(f(B,A),f(B,C))) -> f(c,f(c,c))
% Current number of equations to process: 3028
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [196] f(B,f(B,f(A,f(A,A)))) <-> f(C,f(C,f(D,f(D,D))))
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [197] f(C,f(D,f(D,D))) <-> f(f(B,f(B,f(A,f(A,A)))),C)
% Current number of equations to process: 3728
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced : [198] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,f(D,f(D,D)))
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [199] f(B,f(f(B,f(A,B)),f(A,A))) -> f(B,B)
% Current number of equations to process: 3885
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [200] f(B,f(f(B,f(f(A,A),B)),A)) -> f(B,B)
% Current number of equations to process: 3891
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [201] f(f(f(B,f(f(A,A),B)),A),B) -> f(B,B)
% Current number of equations to process: 3894
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [202] f(f(f(B,f(A,B)),f(A,A)),B) -> f(B,B)
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [203] f(f(B,f(f(A,f(A,A)),f(C,D))),f(D,D)) -> D
% Current number of equations to process: 4852
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [204] f(f(f(f(B,f(B,B)),f(A,C)),D),f(C,C)) -> C
% Current number of equations to process: 4851
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [205] f(B,f(f(A,f(A,A)),f(A,f(A,A)))) -> f(A,f(A,A))
% Current number of equations to process: 4850
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [206] f(f(f(B,f(B,B)),f(B,f(B,B))),A) -> f(B,f(B,B))
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [207] f(B,f(f(A,f(A,A)),f(C,f(C,C)))) -> f(C,f(C,C))
% Rule [205] f(B,f(f(A,f(A,A)),f(A,f(A,A)))) -> f(A,f(A,A)) collapsed.
% Current number of equations to process: 4847
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [208] f(f(f(B,f(B,B)),f(A,f(A,A))),C) -> f(A,f(A,A))
% Rule [206] f(f(f(B,f(B,B)),f(B,f(B,B))),A) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [209] f(f(B,B),f(A,f(f(C,f(C,C)),f(D,B)))) -> B
% Current number of equations to process: 4818
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [210] f(f(B,B),f(f(f(A,f(A,A)),f(C,B)),D)) -> B
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [211] f(B,f(f(B,f(A,B)),f(A,B))) -> f(B,B)
% Current number of equations to process: 4945
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [212] f(B,f(f(B,f(B,A)),f(B,A))) -> f(B,B)
% Current number of equations to process: 4999
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [213] f(f(B,A),f(f(f(B,A),A),A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [214] f(f(B,A),f(f(f(B,A),B),B)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [215] f(f(f(f(B,A),A),A),f(B,A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 839
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [216] f(f(f(f(B,A),B),B),f(B,A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [217] f(f(B,f(f(A,C),f(D,f(D,D)))),f(C,C)) -> C
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [218] f(f(f(f(B,A),f(C,f(C,C))),D),f(A,A)) -> A
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [219] f(f(B,A),f(f(C,f(C,f(D,f(D,D)))),B)) -> B
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [220] f(f(B,A),f(f(C,f(C,f(D,f(D,D)))),A)) -> A
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [221] f(f(f(B,f(B,f(A,f(A,A)))),C),f(D,C)) -> C
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [222] f(f(f(B,f(B,f(A,f(A,A)))),C),f(C,D)) -> C
% Current number of equations to process: 828
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [223] f(f(B,B),f(A,f(f(C,B),f(D,f(D,D))))) -> B
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [224] f(f(B,B),f(f(f(A,B),f(C,f(C,C))),D)) -> B
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [225] f(f(B,f(f(A,f(A,A)),f(C,D))),f(C,C)) -> C
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [226] f(f(B,f(f(A,C),f(D,f(D,D)))),f(A,A)) -> A
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [227] f(f(f(f(B,f(B,B)),f(A,C)),D),f(A,A)) -> A
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [228] f(f(f(f(B,A),f(C,f(C,C))),D),f(B,B)) -> B
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [229] f(f(B,B),f(A,f(f(B,C),f(D,f(D,D))))) -> B
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [230] f(f(B,B),f(A,f(f(C,f(C,C)),f(B,D)))) -> B
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [231] f(f(B,B),f(f(f(B,A),f(C,f(C,C))),D)) -> B
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [232] f(f(B,B),f(f(f(A,f(A,A)),f(B,C)),D)) -> B
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [233] f(f(f(A,f(B,B)),f(C,f(B,B))),B) -> f(B,f(B,B))
% Current number of equations to process: 768
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [234] f(B,f(f(A,f(B,B)),f(C,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 767
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [235] f(f(B,A),f(B,f(C,f(C,f(D,f(D,D)))))) -> B
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [236] f(f(B,A),f(A,f(C,f(C,f(D,f(D,D)))))) -> A
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [237] f(D,f(D,D)) <-> f(f(f(B,f(B,f(A,f(A,A)))),C),C)
% Current number of equations to process: 685
% Current number of ordered equations: 1
% Current number of rules: 149
% Rule [237] f(D,f(D,D)) <-> f(f(f(B,f(B,f(A,f(A,A)))),C),C) is composed into 
% [237] f(D,f(D,D)) <-> f(c,f(c,c))
% New rule produced : [238] f(f(f(B,f(B,f(A,f(A,A)))),C),C) <-> f(D,f(D,D))
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [239] f(f(f(B,f(B,B)),f(A,C)),f(C,C)) -> f(C,f(C,C))
% Current number of equations to process: 602
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced : [240] f(f(f(B,A),f(C,f(C,C))),f(A,A)) -> f(A,f(A,A))
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [241] f(f(f(B,f(A,A)),f(C,f(C,C))),A) -> f(A,f(A,A))
% Current number of equations to process: 600
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced : [242] f(f(f(B,f(B,B)),f(A,f(C,C))),C) -> f(c,f(c,c))
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [243] f(f(B,B),f(f(A,f(A,A)),f(C,B))) -> f(B,f(B,B))
% Current number of equations to process: 586
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced : [244] f(f(B,B),f(f(A,B),f(C,f(C,C)))) -> f(B,f(B,B))
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [245] f(B,f(f(A,f(A,A)),f(C,f(B,B)))) -> f(c,f(c,c))
% Current number of equations to process: 584
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced : [246] f(B,f(f(A,f(B,B)),f(C,f(C,C)))) -> f(c,f(c,c))
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [247] f(f(B,B),f(f(B,A),f(C,f(C,C)))) -> f(B,f(B,B))
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [248] f(B,f(f(c,f(c,c)),f(f(B,B),A))) -> f(c,f(c,c))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [249] f(B,f(f(f(B,B),A),f(C,f(B,B)))) -> f(c,f(c,c))
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [250] f(f(B,B),f(f(A,f(A,A)),f(B,C))) -> f(B,f(B,B))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [251] f(B,f(f(A,f(A,A)),f(f(B,B),C))) -> f(c,f(c,c))
% Rule [248] f(B,f(f(c,f(c,c)),f(f(B,B),A))) -> f(c,f(c,c)) collapsed.
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [252] f(B,f(f(A,f(B,B)),f(f(B,B),C))) -> f(c,f(c,c))
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [253] f(f(f(c,f(c,c)),f(f(B,B),A)),B) -> f(c,f(c,c))
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [254] f(f(f(B,A),f(C,f(C,C))),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [255] f(f(f(f(B,B),A),f(C,f(B,B))),B) -> f(c,f(c,c))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [256] f(f(f(B,f(B,B)),f(f(B,B),A)),B) -> f(c,f(c,c))
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [257] f(f(f(B,f(B,B)),f(A,C)),f(A,A)) -> f(A,f(A,A))
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [258] f(f(f(B,f(B,B)),f(f(A,A),C)),A) -> f(A,f(A,A))
% Rule [253] f(f(f(c,f(c,c)),f(f(B,B),A)),B) -> f(c,f(c,c)) collapsed.
% Rule [256] f(f(f(B,f(B,B)),f(f(B,B),A)),B) -> f(c,f(c,c)) collapsed.
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [259] f(f(f(B,f(A,A)),f(f(A,A),C)),A) -> f(A,f(A,A))
% Current number of equations to process: 496
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [260] f(f(f(f(B,B),A),f(f(B,B),C)),B) -> f(c,f(c,c))
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [261] f(B,f(f(f(B,B),A),f(f(B,B),C))) -> f(c,f(c,c))
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [262] f(f(B,f(A,B)),f(A,B)) -> B
% Rule [211] f(B,f(f(B,f(A,B)),f(A,B))) -> f(B,B) collapsed.
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [263] f(f(B,f(B,A)),f(B,A)) -> B
% Rule [212] f(B,f(f(B,f(B,A)),f(B,A))) -> f(B,B) collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [264] f(B,f(f(B,A),f(f(B,A),B))) -> f(B,B)
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [265] f(f(B,A),f(B,f(B,f(B,A)))) -> f(f(B,A),f(B,A))
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [266] f(f(B,f(B,f(B,A))),f(B,A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [267] f(B,f(B,B)) <-> f(f(f(c,f(c,c)),f(f(A,C),C)),A)
% Current number of equations to process: 824
% Current number of ordered equations: 1
% Current number of rules: 174
% Rule [267] f(B,f(B,B)) <-> f(f(f(c,f(c,c)),f(f(A,C),C)),A) is composed into 
% [267] f(B,f(B,B)) <-> f(c,f(c,c))
% New rule produced : [268] f(f(f(c,f(c,c)),f(f(A,C),C)),A) <-> f(B,f(B,B))
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [269] f(A,f(C,f(C,f(D,f(D,D))))) <-> f(f(B,f(B,B)),A)
% Current number of equations to process: 1617
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced : [270] f(f(B,f(B,B)),A) <-> f(A,f(C,f(C,f(D,f(D,D)))))
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [271] f(f(f(B,A),A),A) -> f(B,A)
% Rule [213] f(f(B,A),f(f(f(B,A),A),A)) -> f(f(B,A),f(B,A)) collapsed.
% Rule [215] f(f(f(f(B,A),A),A),f(B,A)) -> f(f(B,A),f(B,A)) collapsed.
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [272] f(f(f(B,A),B),B) -> f(B,A)
% Rule [214] f(f(B,A),f(f(f(B,A),B),B)) -> f(f(B,A),f(B,A)) collapsed.
% Rule [216] f(f(f(f(B,A),B),B),f(B,A)) -> f(f(B,A),f(B,A)) collapsed.
% Current number of equations to process: 2337
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [273] f(B,f(B,f(A,B))) -> f(A,B)
% Current number of equations to process: 2343
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [274] f(f(B,A),A) -> f(A,f(B,A))
% Rule [43] f(B,f(f(f(f(f(f(A,A),B),C),C),B),A)) -> f(B,B) collapsed.
% Rule [62] f(B,f(f(f(f(A,A),B),B),A)) -> f(B,B) collapsed.
% Rule [63] f(B,f(f(f(f(f(A,B),C),C),B),f(A,A))) -> f(B,B) collapsed.
% Rule [72] f(f(f(f(f(f(f(B,B),A),C),C),A),B),A) -> f(A,A) collapsed.
% Rule [75] f(B,f(f(f(A,B),B),f(A,A))) -> f(B,B) collapsed.
% Rule [76] f(f(f(f(f(B,B),A),A),B),A) -> f(A,A) collapsed.
% Rule [82] f(f(f(f(f(f(B,A),C),C),A),f(B,B)),A) -> f(A,A) collapsed.
% Rule [92] f(f(f(f(B,A),A),f(B,B)),A) -> f(A,A) collapsed.
% Rule [112] f(f(f(A,B),B),f(A,B)) -> B collapsed.
% Rule [155] f(B,f(f(A,B),B)) -> f(A,B) collapsed.
% Rule [158] f(f(B,B),B) <-> f(A,f(A,A)) collapsed.
% Rule [182] f(f(f(B,f(B,B)),A),A) <-> f(C,f(C,C)) collapsed.
% Rule [238] f(f(f(B,f(B,f(A,f(A,A)))),C),C) <-> f(D,f(D,D)) collapsed.
% Rule [262] f(f(B,f(A,B)),f(A,B)) -> B collapsed.
% Rule [263] f(f(B,f(B,A)),f(B,A)) -> B collapsed.
% Rule [268] f(f(f(c,f(c,c)),f(f(A,C),C)),A) <-> f(B,f(B,B)) collapsed.
% Rule [271] f(f(f(B,A),A),A) -> f(B,A) collapsed.
% Rule [272] f(f(f(B,A),B),B) -> f(B,A) collapsed.
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [275] f(f(B,A),f(f(B,A),B)) -> B
% Rule [264] f(B,f(f(B,A),f(f(B,A),B))) -> f(B,B) collapsed.
% Current number of equations to process: 2402
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [276] f(C,f(f(B,f(B,f(A,f(A,A)))),C)) <-> f(D,f(D,D))
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [277] f(B,f(B,B)) <-> f(f(f(c,f(c,c)),f(C,f(A,C))),A)
% Current number of equations to process: 2492
% Current number of ordered equations: 1
% Current number of rules: 161
% Rule [277] f(B,f(B,B)) <-> f(f(f(c,f(c,c)),f(C,f(A,C))),A) is composed into 
% [277] f(B,f(B,B)) <-> f(c,f(c,c))
% New rule produced : [278] f(f(f(c,f(c,c)),f(C,f(A,C))),A) <-> f(B,f(B,B))
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [279] f(B,f(B,f(B,A))) -> f(B,A)
% Rule [265] f(f(B,A),f(B,f(B,f(B,A)))) -> f(f(B,A),f(B,A)) collapsed.
% Rule [266] f(f(B,f(B,f(B,A))),f(B,A)) -> f(f(B,A),f(B,A)) collapsed.
% Current number of equations to process: 2630
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [280] f(f(B,A),B) -> f(B,f(B,A))
% Rule [130] f(f(f(B,A),B),f(B,A)) -> B collapsed.
% Rule [138] f(f(B,f(A,B)),B) -> f(A,B) collapsed.
% Rule [139] f(f(B,f(B,A)),B) -> f(B,A) collapsed.
% Rule [152] f(f(B,f(A,f(A,A))),B) -> f(A,f(A,A)) collapsed.
% Rule [156] f(B,f(f(B,A),B)) -> f(B,A) collapsed.
% Rule [275] f(f(B,A),f(f(B,A),B)) -> B collapsed.
% Current number of equations to process: 2663
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [281] f(D,f(D,D)) <-> f(f(f(B,f(B,B)),f(A,f(C,A))),C)
% Current number of equations to process: 2753
% Current number of ordered equations: 1
% Current number of rules: 157
% Rule [281] f(D,f(D,D)) <-> f(f(f(B,f(B,B)),f(A,f(C,A))),C) is composed into 
% [281] f(D,f(D,D)) <-> f(c,f(c,c))
% New rule produced : [282] f(f(f(B,f(B,B)),f(A,f(C,A))),C) <-> f(D,f(D,D))
% Rule [278] f(f(f(c,f(c,c)),f(C,f(A,C))),A) <-> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [283] f(C,f(C,C)) <-> f(f(f(B,f(A,B)),f(B,f(A,B))),A)
% Current number of equations to process: 2862
% Current number of ordered equations: 1
% Current number of rules: 158
% Rule [283] f(C,f(C,C)) <-> f(f(f(B,f(A,B)),f(B,f(A,B))),A) is composed into 
% [283] f(C,f(C,C)) <-> f(c,f(c,c))
% New rule produced : [284] f(f(f(B,f(A,B)),f(B,f(A,B))),A) <-> f(C,f(C,C))
% Current number of equations to process: 2862
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [285] f(B,f(B,B)) <-> f(A,f(A,f(C,f(C,f(D,f(D,D))))))
% Current number of equations to process: 2861
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced : [286] f(A,f(A,f(C,f(C,f(D,f(D,D)))))) <-> f(B,f(B,B))
% Current number of equations to process: 2861
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [287] f(B,f(f(A,f(A,A)),f(C,f(B,C)))) <-> f(D,f(D,D))
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [288] f(D,f(D,D)) <-> f(f(f(B,f(A,B)),f(C,f(C,C))),A)
% Current number of equations to process: 2897
% Current number of ordered equations: 1
% Current number of rules: 163
% Rule [288] f(D,f(D,D)) <-> f(f(f(B,f(A,B)),f(C,f(C,C))),A) is composed into 
% [288] f(D,f(D,D)) <-> f(c,f(c,c))
% New rule produced : [289] f(f(f(B,f(A,B)),f(C,f(C,C))),A) <-> f(D,f(D,D))
% Current number of equations to process: 2897
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [290] f(B,f(f(A,f(B,A)),f(A,f(B,A)))) <-> f(C,f(C,C))
% Current number of equations to process: 2907
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [291] f(B,f(f(A,f(B,A)),f(C,f(C,C)))) <-> f(D,f(D,D))
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [292] f(B,f(f(f(C,f(f(f(A,A),B),C)),B),A)) -> f(B,B)
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [293] f(B,f(f(f(C,f(f(A,B),C)),B),f(A,A))) -> f(B,B)
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [294] f(f(f(f(C,f(f(f(B,B),A),C)),A),B),A) -> f(A,A)
% Current number of equations to process: 3330
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [295] f(f(f(f(C,f(f(B,A),C)),A),f(B,B)),A) -> f(A,A)
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [296] f(B,f(f(f(C,f(f(A,B),C)),B),f(A,B))) -> f(B,B)
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [297] f(f(f(A,f(f(C,B),A)),B),f(C,B)) -> B
% Rule [296] f(B,f(f(f(C,f(f(A,B),C)),B),f(A,B))) -> f(B,B) collapsed.
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [298] f(f(f(B,f(A,B)),f(C,A)),A) -> f(C,A)
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [299] f(f(B,A),f(f(C,f(f(B,A),C)),A)) -> A
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [300] f(f(f(B,f(A,B)),f(A,C)),A) -> f(A,C)
% Current number of equations to process: 3519
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [301] f(f(f(B,f(f(A,C),B)),A),f(A,C)) -> A
% Current number of equations to process: 3573
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [302] f(f(f(B,f(A,A)),f(C,A)),A) -> f(C,A)
% Current number of equations to process: 3703
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [303] f(B,f(f(A,f(B,A)),f(C,B))) -> f(C,B)
% Current number of equations to process: 3720
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [304] f(B,f(f(A,f(B,A)),f(B,C))) -> f(B,C)
% Current number of equations to process: 3742
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [305] f(f(B,A),f(f(C,f(f(B,A),C)),B)) -> B
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 179
% f(A,B) = f(B,A) (birth = 20890, lhs_size = 3, rhs_size = 3,trace = Cp of 300 and 274)
% Initializing completion ...
% New rule produced : [1] B <-> (B f B) f (B f A)
% Current number of equations to process: 1428
% Current number of ordered equations: 216
% Current number of rules: 1
% New rule produced : [2] (B f A) f (A f A) <-> A
% Current number of equations to process: 1428
% Current number of ordered equations: 214
% Current number of rules: 2
% New rule produced : [3] (B f B) f B <-> c f (c f c)
% Current number of equations to process: 1428
% Current number of ordered equations: 210
% Current number of rules: 3
% New rule produced : [4] (B f B) f B <-> (A f A) f A
% Rule [3] (B f B) f B <-> c f (c f c) collapsed.
% Current number of equations to process: 1428
% Current number of ordered equations: 202
% Current number of rules: 3
% New rule produced : [5] A f A <-> ((B f B) f B) f A
% Current number of equations to process: 1438
% Current number of ordered equations: 197
% Current number of rules: 4
% New rule produced : [6] B f A <-> ((B f A) f B) f B
% Current number of equations to process: 1440
% Current number of ordered equations: 196
% Current number of rules: 5
% New rule produced : [7] B f B <-> ((B f B) f A) f B
% Current number of equations to process: 1440
% Current number of ordered equations: 195
% Current number of rules: 6
% New rule produced : [8] ((B f B) f A) f B <-> B f B
% Current number of equations to process: 1440
% Current number of ordered equations: 194
% Current number of rules: 7
% New rule produced : [9] ((B f B) f B) f A <-> A f A
% Current number of equations to process: 1440
% Current number of ordered equations: 189
% Current number of rules: 8
% New rule produced : [10] ((B f A) f B) f B <-> B f A
% Current number of equations to process: 1440
% Current number of ordered equations: 188
% Current number of rules: 9
% New rule produced : [11] B <-> ((A f A) f A) f (B f B)
% Current number of equations to process: 1501
% Current number of ordered equations: 187
% Current number of rules: 10
% New rule produced : [12] B <-> ((B f A) f B) f (B f A)
% Current number of equations to process: 1504
% Current number of ordered equations: 185
% Current number of rules: 11
% New rule produced : [13] ((A f A) f A) f (B f B) <-> B
% Current number of equations to process: 1504
% Current number of ordered equations: 184
% Current number of rules: 12
% New rule produced : [14] ((B f A) f A) f (B f A) <-> A
% Current number of equations to process: 1504
% Current number of ordered equations: 182
% Current number of rules: 13
% New rule produced : [15] B f A <-> ((B f A) f (B f A)) f B
% Current number of equations to process: 1601
% Current number of ordered equations: 181
% Current number of rules: 14
% New rule produced : [16] ((B f A) f (B f A)) f B <-> B f A
% Current number of equations to process: 1605
% Current number of ordered equations: 180
% Current number of rules: 15
% New rule produced : [17] B <-> (((A f A) f A) f B) f (B f C)
% Current number of equations to process: 1673
% Current number of ordered equations: 194
% Current number of rules: 16
% New rule produced : [18] (((A f A) f A) f B) f B <-> (A f A) f A
% Current number of equations to process: 1676
% Current number of ordered equations: 193
% Current number of rules: 17
% New rule produced : [19] (((A f A) f A) f B) f B <-> (C f C) f C
% Rule [18] (((A f A) f A) f B) f B <-> (A f A) f A collapsed.
% Current number of equations to process: 1676
% Current number of ordered equations: 188
% Current number of rules: 17
% New rule produced : [20] (((A f A) f A) f B) f (B f C) <-> B
% Current number of equations to process: 1676
% Current number of ordered equations: 184
% Current number of rules: 18
% New rule produced : [21] (A f A) f A <-> (((A f A) f A) f B) f B
% Current number of equations to process: 1676
% Current number of ordered equations: 183
% Current number of rules: 19
% New rule produced : [22] (C f C) f C <-> (((A f A) f A) f B) f B
% Rule [21] (A f A) f A <-> (((A f A) f A) f B) f B collapsed.
% Current number of equations to process: 1676
% Current number of ordered equations: 178
% Current number of rules: 19
% New rule produced : [23] ((((A f A) f B) f B) f A) f B <-> B f B
% Current number of equations to process: 1854
% Current number of ordered equations: 183
% Current number of rules: 20
% New rule produced : [24] A f A <-> ((((B f B) f B) f A) f C) f A
% Current number of equations to process: 1854
% Current number of ordered equations: 178
% Current number of rules: 21
% New rule produced : [25] A f C <-> (((B f A) f B) f (A f C)) f A
% Current number of equations to process: 1854
% Current number of ordered equations: 176
% Current number of rules: 22
% New rule produced : [26] A f C <-> (((A f A) f B) f (A f C)) f A
% Current number of equations to process: 1854
% Current number of ordered equations: 175
% Current number of rules: 23
% New rule produced : [27] A f C <-> (((B f B) f B) f (A f C)) f A
% Current number of equations to process: 1854
% Current number of ordered equations: 172
% Current number of rules: 24
% New rule produced : [28] A f C <-> (((B f B) f B) f (A f C)) f C
% Current number of equations to process: 1854
% Current number of ordered equations: 170
% Current number of rules: 25
% New rule produced : [29] B f B <-> ((((A f A) f B) f B) f A) f B
% Current number of equations to process: 1854
% Current number of ordered equations: 169
% Current number of rules: 26
% New rule produced : [30] B f B <-> (((B f A) f B) f (A f A)) f B
% Current number of equations to process: 1854
% Current number of ordered equations: 168
% Current number of rules: 27
% New rule produced : [31] C f C <-> ((((A f A) f A) f B) f B) f C
% Current number of equations to process: 1854
% Current number of ordered equations: 166
% Current number of rules: 28
% New rule produced : [32] ((((C f C) f C) f B) f A) f B <-> B f B
% Current number of equations to process: 1854
% Current number of ordered equations: 161
% Current number of rules: 29
% New rule produced : [33] ((((A f A) f A) f B) f B) f C <-> C f C
% Current number of equations to process: 1854
% Current number of ordered equations: 159
% Current number of rules: 30
% New rule produced : [34] (((A f A) f A) f (B f C)) f B <-> B f C
% Current number of equations to process: 1854
% Current number of ordered equations: 156
% Current number of rules: 31
% New rule produced : [35] (((B f A) f B) f (A f A)) f B <-> B f B
% Current number of equations to process: 1854
% Current number of ordered equations: 155
% Current number of rules: 32
% New rule produced : [36] (((B f A) f B) f (A f C)) f A <-> A f C
% Current number of equations to process: 1854
% Current number of ordered equations: 153
% Current number of rules: 33
% New rule produced : [37] (((A f A) f B) f (A f C)) f A <-> A f C
% Current number of equations to process: 1854
% Current number of ordered equations: 152
% Current number of rules: 34
% New rule produced : [38] (((C f C) f C) f (B f A)) f A <-> B f A
% Current number of equations to process: 1854
% Current number of ordered equations: 150
% Current number of rules: 35
% New rule produced : [39] B <-> (((A f A) f A) f B) f ((C f C) f C)
% Current number of equations to process: 3279
% Current number of ordered equations: 193
% Current number of rules: 36
% New rule produced : [40] B <-> (((B f A) f (B f C)) f D) f (B f B)
% Current number of equations to process: 3279
% Current number of ordered equations: 188
% Current number of rules: 37
% New rule produced : [41] B <-> ((((B f C) f A) f A) f B) f (B f C)
% Current number of equations to process: 3279
% Current number of ordered equations: 184
% Current number of rules: 38
% New rule produced : [42] C <-> ((((A f A) f A) f B) f B) f (C f C)
% Current number of equations to process: 3279
% Current number of ordered equations: 183
% Current number of rules: 39
% New rule produced : [43] (((A f A) f A) f B) f B <-> (((D f D) f D) f C) f C
% Current number of equations to process: 3279
% Current number of ordered equations: 181
% Current number of rules: 40
% New rule produced : [44] (((A f A) f A) f B) f ((C f C) f C) <-> B
% Current number of equations to process: 3279
% Current number of ordered equations: 178
% Current number of rules: 41
% New rule produced : [45] ((B f A) f (B f C)) f (B f B) <-> (B f B) f B
% Current number of equations to process: 3279
% Current number of ordered equations: 177
% Current number of rules: 42
% New rule produced : [46] ((B f A) f (B f C)) f (B f B) <-> c f (c f c)
% Current number of equations to process: 3279
% Current number of ordered equations: 176
% Current number of rules: 43
% New rule produced : [47] (((B f A) f (B f C)) f D) f (B f B) <-> B
% Current number of equations to process: 3279
% Current number of ordered equations: 171
% Current number of rules: 44
% New rule produced : [48] (B f B) f B <-> ((B f A) f (B f C)) f (B f B)
% Current number of equations to process: 3279
% Current number of ordered equations: 170
% Current number of rules: 45
% New rule produced : [49] c f (c f c) <-> ((B f A) f (B f C)) f (B f B)
% Current number of equations to process: 3279
% Current number of ordered equations: 169
% Current number of rules: 46
% New rule produced : [50] ((((A f A) f A) f B) f B) f (C f C) <-> C
% Current number of equations to process: 3279
% Current number of ordered equations: 168
% Current number of rules: 47
% New rule produced : [51] ((((B f C) f A) f A) f B) f (B f C) <-> B
% Current number of equations to process: 3279
% Current number of ordered equations: 164
% Current number of rules: 48
% New rule produced : [52] B <-> ((((A f A) f A) f (B f C)) f D) f (B f B)
% Current number of equations to process: 2995
% Current number of ordered equations: 325
% Current number of rules: 49
% New rule produced : [53] B <-> (((((D f D) f D) f C) f C) f B) f (B f A)
% Current number of equations to process: 2995
% Current number of ordered equations: 322
% Current number of rules: 50
% New rule produced : [54] ((((A f A) f A) f (B f C)) f D) f (B f B) <-> B
% Current number of equations to process: 2995
% Current number of ordered equations: 311
% Current number of rules: 51
% New rule produced : [55] (B f B) f B <-> (((A f A) f A) f (B f C)) f (B f B)
% Current number of equations to process: 2995
% Current number of ordered equations: 306
% Current number of rules: 52
% New rule produced : [56] (B f B) f B <-> (((((D f D) f D) f C) f C) f A) f A
% Current number of equations to process: 2995
% Current number of ordered equations: 303
% Current number of rules: 53
% New rule produced : [57] (B f B) f B <-> (((B f B) f A) f ((B f B) f C)) f B
% Current number of equations to process: 2995
% Current number of ordered equations: 301
% Current number of rules: 54
% New rule produced : [58] c f (c f c) <-> (((B f B) f B) f ((C f C) f A)) f C
% Current number of equations to process: 2995
% Current number of ordered equations: 298
% Current number of rules: 55
% New rule produced : [59] c f (c f c) <-> (((B f B) f A) f ((B f B) f C)) f B
% Current number of equations to process: 2995
% Current number of ordered equations: 297
% Current number of rules: 56
% New rule produced : [60] (A f A) f A <-> (((B f B) f B) f ((A f A) f A)) f C
% Current number of equations to process: 2995
% Current number of ordered equations: 295
% Current number of rules: 57
% New rule produced : [61] (A f A) f A <-> (((A f A) f B) f ((C f C) f C)) f A
% Current number of equations to process: 2995
% Current number of ordered equations: 293
% Current number of rules: 58
% New rule produced : [62] (C f C) f C <-> (((B f A) f A) f ((B f A) f A)) f B
% Current number of equations to process: 2995
% Current number of ordered equations: 291
% Current number of rules: 59
% New rule produced : [63] (D f D) f D <-> (((B f B) f B) f ((A f C) f A)) f C
% Current number of equations to process: 2995
% Current number of ordered equations: 287
% Current number of rules: 60
% New rule produced : [64] (((B f B) f B) f ((A f A) f A)) f C <-> (A f A) f A
% Current number of equations to process: 2995
% Current number of ordered equations: 285
% Current number of rules: 61
% New rule produced : [65] (((B f A) f A) f ((B f A) f A)) f B <-> (C f C) f C
% Current number of equations to process: 2995
% Current number of ordered equations: 283
% Current number of rules: 62
% New rule produced : [66] (((((A f A) f A) f B) f B) f C) f C <-> (D f D) f D
% Current number of equations to process: 2995
% Current number of ordered equations: 280
% Current number of rules: 63
% New rule produced : [67] (((((A f A) f A) f B) f B) f C) f (C f D) <-> C
% Current number of equations to process: 2995
% Current number of ordered equations: 277
% Current number of rules: 64
% New rule produced : [68] (((A f A) f A) f (B f C)) f (B f B) <-> (B f B) f B
% Current number of equations to process: 2995
% Current number of ordered equations: 272
% Current number of rules: 65
% New rule produced : [69] (((A f A) f B) f ((A f A) f C)) f A <-> (A f A) f A
% Current number of equations to process: 2995
% Current number of ordered equations: 270
% Current number of rules: 66
% New rule produced : [70] (((A f A) f B) f ((C f C) f C)) f A <-> (A f A) f A
% Current number of equations to process: 2995
% Current number of ordered equations: 268
% Current number of rules: 67
% New rule produced : [71] (((B f B) f B) f ((C f C) f A)) f C <-> c f (c f c)
% Current number of equations to process: 2995
% Current number of ordered equations: 265
% Current number of rules: 68
% New rule produced : [72] (((B f B) f B) f ((A f C) f A)) f C <-> (D f D) f D
% Current number of equations to process: 2995
% Current number of ordered equations: 261
% Current number of rules: 69
% New rule produced : [73] (((B f B) f A) f ((B f B) f C)) f B <-> c f (c f c)
% Current number of equations to process: 2995
% Current number of ordered equations: 260
% Current number of rules: 70
% New rule produced : [74] A f A <-> ((((((B f B) f A) f C) f C) f A) f B) f A
% Current number of equations to process: 4386
% Current number of ordered equations: 524
% Current number of rules: 71
% New rule produced : [75] A f A <-> ((((A f A) f B) f ((A f A) f C)) f D) f A
% Current number of equations to process: 4386
% Current number of ordered equations: 522
% Current number of rules: 72
% New rule produced : [76] A f A <-> (((((B f A) f C) f C) f A) f (B f B)) f A
% Current number of equations to process: 4386
% Current number of ordered equations: 520
% Current number of rules: 73
% New rule produced :
% [77] (B f A) f (A f C) <-> (((B f A) f (A f C)) f A) f (B f A)
% Current number of equations to process: 4386
% Current number of ordered equations: 519
% Current number of rules: 74
% New rule produced :
% [78] (B f A) f (A f C) <-> (((B f A) f (A f C)) f A) f (A f C)
% Current number of equations to process: 4386
% Current number of ordered equations: 518
% Current number of rules: 75
% New rule produced : [79] ((((((B f B) f A) f C) f C) f A) f B) f A <-> A f A
% Current number of equations to process: 4386
% Current number of ordered equations: 516
% Current number of rules: 76
% New rule produced : [80] ((((A f A) f B) f ((A f A) f C)) f D) f A <-> A f A
% Current number of equations to process: 4386
% Current number of ordered equations: 514
% Current number of rules: 77
% New rule produced : [81] (((((B f A) f C) f C) f B) f (A f A)) f B <-> B f B
% Current number of equations to process: 4386
% Current number of ordered equations: 512
% Current number of rules: 78
% New rule produced :
% [82] (((B f A) f (A f C)) f A) f (B f A) <-> (B f A) f (A f C)
% Current number of equations to process: 4386
% Current number of ordered equations: 511
% Current number of rules: Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------