%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT071-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n161.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 300.05s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT071-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n161.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 19:36:18 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_5154_n161.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(B,A),f(f(f(f(B,A),A),f(C,A)),f(f(A,A),D))) = 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(f(b,c),f(b,c))) = f(c,f(f(b,a),f(b,a)));"
% ;
% (*
% 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(B,A),f(f(f(f(B,A),A),f(C,A)),f(f(A,A),D))) =
% 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(f(b,c),f(b,c))) =
% f(c,f(f(b,a),f(b,a))) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] f(f(B,A),f(f(f(f(B,A),A),f(C,A)),f(f(A,A),D))) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced : [2] f(f(B,A),f(f(f(f(B,A),A),f(C,A)),A)) -> A
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced : [3] f(f(B,A),f(A,A)) -> A
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced : [4] f(f(B,f(A,A)),A) -> f(A,A)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] f(f(B,A),f(A,f(f(A,A),C))) -> A
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] f(f(B,f(A,A)),f(f(A,A),f(A,C))) -> f(A,A)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] f(B,f(f(B,B),f(B,A))) -> f(B,B)
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] f(f(B,f(A,f(f(A,A),C))),A) -> f(A,f(f(A,A),C))
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] f(f(B,f(f(A,A),f(A,C))),f(A,A)) -> f(f(A,A),f(A,C))
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] f(f(B,A),f(f(f(B,A),f(B,A)),A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] f(f(B,f(f(B,B),A)),f(B,B)) -> B
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] f(B,f(f(B,B),A)) -> f(B,B)
% Rule [5] f(f(B,A),f(A,f(f(A,A),C))) -> A collapsed.
% Rule [7] f(B,f(f(B,B),f(B,A))) -> f(B,B) collapsed.
% Rule [8] f(f(B,f(A,f(f(A,A),C))),A) -> f(A,f(f(A,A),C)) collapsed.
% Rule [10] f(f(B,A),f(f(f(B,A),f(B,A)),A)) -> f(f(B,A),f(B,A)) collapsed.
% Rule [11] f(f(B,f(f(B,B),A)),f(B,B)) -> B collapsed.
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [13] f(f(f(B,B),f(B,A)),B) -> f(B,B)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [14] f(f(B,B),f(B,A)) -> B
% Rule [6] f(f(B,f(A,A)),f(f(A,A),f(A,C))) -> f(A,A) collapsed.
% Rule [9] f(f(B,f(f(A,A),f(A,C))),f(A,A)) -> f(f(A,A),f(A,C)) collapsed.
% Rule [13] f(f(f(B,B),f(B,A)),B) -> f(B,B) collapsed.
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [15] f(f(f(B,A),f(B,A)),A) -> f(B,A)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [16] f(B,f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [17] f(f(B,A),f(f(B,A),A)) -> A
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [18] f(B,f(B,f(f(A,B),B))) -> f(f(A,B),B)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [19] f(B,f(B,f(B,B))) -> f(B,B)
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [20] f(B,f(B,f(B,A))) -> f(B,A)
% Rule [19] f(B,f(B,f(B,B))) -> f(B,B) collapsed.
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [21] f(f(B,B),f(f(A,B),B)) -> B
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [22] f(f(B,B),B) -> f(B,f(B,B))
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [23] f(B,f(f(A,f(B,B)),f(B,B))) -> f(B,B)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [24] f(f(B,f(B,B)),f(B,B)) -> B
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [25] f(f(f(B,A),f(B,A)),f(B,f(B,A))) -> f(B,A)
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [26] f(f(B,B),f(f(f(f(A,B),B),f(C,B)),B)) -> B
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [27] f(B,f(f(f(A,B),B),f(f(A,B),B))) -> f(f(A,B),B)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [28] f(f(B,A),f(f(B,A),f(B,f(B,A)))) -> f(B,f(B,A))
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [29] f(f(B,B),f(f(f(B,f(B,B)),f(A,B)),B)) -> B
% Current number of equations to process: 88
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced : [30] f(f(B,f(B,B)),f(f(f(B,B),f(A,B)),B)) -> B
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [31] f(f(f(B,f(B,B)),f(B,f(B,B))),B) -> f(B,f(B,B))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [32] f(f(B,B),f(f(f(B,B),f(A,B)),B)) -> B
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [33] f(B,f(f(B,f(A,f(B,B))),f(B,B))) -> f(B,B)
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [34] f(f(B,A),f(f(B,f(B,A)),f(B,f(B,A)))) -> f(B,f(B,A))
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [35] f(f(B,A),f(f(f(f(B,A),A),f(A,f(A,A))),A)) -> A
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [36] f(f(B,B),f(f(f(f(A,B),B),f(B,f(B,B))),B)) -> B
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [37] f(B,f(B,f(f(f(B,B),f(A,B)),B))) -> f(f(f(B,B),f(A,B)),B)
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [38] f(B,f(f(f(B,f(B,B)),f(A,f(B,B))),f(B,C))) -> f(B,B)
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [39] f(B,f(f(f(B,f(B,A)),f(C,f(B,A))),f(B,A))) -> f(B,A)
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [40] f(f(B,f(B,B)),f(f(B,f(A,f(B,B))),f(B,B))) -> f(B,B)
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [41] f(B,f(f(f(B,f(B,A)),B),f(B,A))) -> f(B,A)
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [42] f(B,f(f(f(B,A),B),f(B,f(B,A)))) -> f(B,f(B,A))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [43] f(f(B,A),f(f(A,f(B,A)),f(f(B,A),A))) -> f(f(B,A),A)
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [44] f(f(B,B),f(f(f(f(A,B),B),f(C,B)),f(f(B,B),D))) -> B
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [45] f(f(B,B),f(f(f(B,B),f(A,B)),f(f(B,B),C))) -> B
% Current number of equations to process: 428
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [46] f(f(B,B),f(A,B)) -> B
% Rule [21] f(f(B,B),f(f(A,B),B)) -> B collapsed.
% Rule [25] f(f(f(B,A),f(B,A)),f(B,f(B,A))) -> f(B,A) collapsed.
% Rule [26] f(f(B,B),f(f(f(f(A,B),B),f(C,B)),B)) -> B collapsed.
% Rule [29] f(f(B,B),f(f(f(B,f(B,B)),f(A,B)),B)) -> B collapsed.
% Rule [30] f(f(B,f(B,B)),f(f(f(B,B),f(A,B)),B)) -> B collapsed.
% Rule [32] f(f(B,B),f(f(f(B,B),f(A,B)),B)) -> B collapsed.
% Rule [36] f(f(B,B),f(f(f(f(A,B),B),f(B,f(B,B))),B)) -> B collapsed.
% Rule [37] f(B,f(B,f(f(f(B,B),f(A,B)),B))) -> f(f(f(B,B),f(A,B)),B) collapsed.
% Rule [45] f(f(B,B),f(f(f(B,B),f(A,B)),f(f(B,B),C))) -> B collapsed.
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [47] f(B,f(A,f(B,B))) -> f(B,B)
% Rule [23] f(B,f(f(A,f(B,B)),f(B,B))) -> f(B,B) collapsed.
% Rule [33] f(B,f(f(B,f(A,f(B,B))),f(B,B))) -> f(B,B) collapsed.
% Rule [40] f(f(B,f(B,B)),f(f(B,f(A,f(B,B))),f(B,B))) -> f(B,B) collapsed.
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [48] f(B,f(B,f(A,B))) -> f(A,B)
% Rule [18] f(B,f(B,f(f(A,B),B))) -> f(f(A,B),B) collapsed.
% Rule [28] f(f(B,A),f(f(B,A),f(B,f(B,A)))) -> f(B,f(B,A)) collapsed.
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [49] f(B,f(f(A,B),f(A,B))) -> f(A,B)
% Rule [27] f(B,f(f(f(A,B),B),f(f(A,B),B))) -> f(f(A,B),B) collapsed.
% Rule [34] f(f(B,A),f(f(B,f(B,A)),f(B,f(B,A)))) -> f(B,f(B,A)) collapsed.
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [50] f(f(f(B,A),f(B,A)),B) -> f(B,A)
% Rule [31] f(f(f(B,f(B,B)),f(B,f(B,B))),B) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [51] f(f(B,A),f(f(B,A),B)) -> B
% Current number of equations to process: 493
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [52] f(B,f(f(f(B,f(B,A)),A),f(B,A))) -> f(B,A)
% Current number of equations to process: 497
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [53] f(B,f(f(f(B,f(A,B)),B),f(A,B))) -> f(A,B)
% Current number of equations to process: 496
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [54] f(f(f(B,B),A),B) -> f(B,B)
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [55] f(f(B,A),f(B,B)) -> B
% Rule [24] f(f(B,f(B,B)),f(B,B)) -> B collapsed.
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [56] f(B,f(f(f(A,B),B),f(B,f(A,B)))) -> f(B,f(A,B))
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [57] f(f(B,A),f(f(f(f(B,A),B),f(C,B)),B)) -> B
% Current number of equations to process: 519
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced : [58] f(f(B,A),f(f(f(f(B,A),A),f(A,C)),A)) -> A
% Rule [35] f(f(B,A),f(f(f(f(B,A),A),f(A,f(A,A))),A)) -> A collapsed.
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [59] f(f(B,A),f(f(f(f(B,A),B),f(B,A)),B)) -> B
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [60] f(f(B,A),f(f(f(f(B,A),B),f(B,C)),B)) -> B
% Rule [59] f(f(B,A),f(f(f(f(B,A),B),f(B,A)),B)) -> B collapsed.
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [61] f(f(B,A),f(f(B,f(B,A)),f(f(B,A),B))) -> f(f(B,A),B)
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [62] f(B,f(f(f(B,f(A,B)),f(C,f(A,B))),f(A,B))) -> f(A,B)
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [63] f(B,f(f(f(B,f(B,B)),f(A,f(B,B))),f(C,B))) -> f(B,B)
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [64] f(f(f(f(B,f(B,B)),f(A,f(B,B))),f(B,C)),B) -> f(B,B)
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [65] f(B,f(f(f(B,f(B,A)),f(f(B,A),C)),f(B,A))) -> f(B,A)
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [66] f(B,f(f(f(B,f(B,B)),f(f(B,B),A)),f(B,C))) -> f(B,B)
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [67] f(B,f(f(f(B,f(A,B)),f(f(A,B),C)),f(A,B))) -> f(A,B)
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [68] f(B,f(f(f(B,f(A,B)),A),f(A,B))) -> f(A,B)
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [69] f(f(f(f(B,f(B,B)),f(A,f(B,B))),f(C,B)),B) -> f(B,B)
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [70] f(B,f(f(f(B,f(B,B)),f(f(B,B),A)),f(C,B))) -> f(B,B)
% Current number of equations to process: 688
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [71] f(f(f(f(B,f(B,B)),f(f(B,B),A)),f(B,C)),B) -> f(B,B)
% Current number of equations to process: 711
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [72] f(f(f(f(B,f(B,B)),f(f(B,B),A)),f(C,B)),B) -> f(B,B)
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [73] f(f(B,A),f(f(f(f(B,A),A),f(C,A)),f(A,f(A,A)))) -> A
% Current number of equations to process: 975
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [74] f(f(B,B),f(f(f(B,f(B,B)),f(A,B)),f(f(B,B),C))) -> B
% Current number of equations to process: 975
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [75] f(f(B,B),f(f(f(f(A,B),B),f(C,B)),f(B,f(B,B)))) -> B
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [76] f(f(B,B),f(f(f(f(A,B),B),f(C,B)),f(D,f(B,B)))) -> B
% Rule [75] f(f(B,B),f(f(f(f(A,B),B),f(C,B)),f(B,f(B,B)))) -> B collapsed.
% Current number of equations to process: 1229
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [77] f(f(B,A),f(f(f(f(B,A),A),f(C,A)),f(D,f(A,A)))) -> A
% Rule [73] f(f(B,A),f(f(f(f(B,A),A),f(C,A)),f(A,f(A,A)))) -> A collapsed.
% Current number of equations to process: 1330
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [78] f(f(f(f(f(B,A),A),f(C,A)),f(f(A,A),D)),f(A,A)) -> A
% Current number of equations to process: 1427
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [79] f(f(B,B),f(f(f(f(B,A),B),f(C,B)),f(f(B,B),D))) -> B
% Current number of equations to process: 1519
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced : [80] f(f(B,B),f(f(f(f(A,B),B),f(B,C)),f(f(B,B),D))) -> B
% Current number of equations to process: 1519
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [81] f(f(B,A),f(f(f(f(B,A),B),f(C,B)),f(f(B,B),D))) -> B
% Current number of equations to process: 1687
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced : [82] f(f(B,A),f(f(f(f(B,A),A),f(A,C)),f(f(A,A),D))) -> A
% Current number of equations to process: 1687
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [83] f(f(B,B),f(f(f(B,f(B,B)),f(A,B)),f(C,f(B,B)))) -> B
% Current number of equations to process: 1880
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [84] f(f(f(f(B,f(B,B)),f(A,B)),f(B,f(B,B))),f(B,B)) -> B
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [85] f(f(f(f(B,f(B,B)),f(A,B)),f(f(B,B),C)),f(B,B)) -> B
% Current number of equations to process: 2011
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [86] f(f(B,B),f(f(f(B,f(B,B)),f(B,A)),f(B,f(B,B)))) -> B
% Current number of equations to process: 2075
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [87] f(f(B,B),f(f(f(B,f(B,B)),f(B,A)),f(f(B,B),C))) -> B
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [88] f(f(f(B,f(B,B)),f(A,f(B,B))),B) -> f(B,f(f(B,f(B,B)),f(A,f(B,B))))
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [89] f(f(f(f(B,f(B,B)),f(A,B)),f(C,f(B,B))),f(B,B)) -> B
% Rule [84] f(f(f(f(B,f(B,B)),f(A,B)),f(B,f(B,B))),f(B,B)) -> B collapsed.
% Current number of equations to process: 2188
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [90] f(f(B,B),f(f(f(B,f(B,B)),f(B,A)),f(C,f(B,B)))) -> B
% Rule [86] f(f(B,B),f(f(f(B,f(B,B)),f(B,A)),f(B,f(B,B)))) -> B collapsed.
% Current number of equations to process: 2254
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [91] f(f(f(f(B,f(B,B)),f(B,A)),f(B,f(B,B))),f(B,B)) -> B
% Current number of equations to process: 2305
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [92] f(f(f(f(B,f(B,B)),f(B,A)),f(f(B,B),C)),f(B,B)) -> B
% Current number of equations to process: 2344
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [93] f(f(f(B,f(B,B)),f(f(B,B),A)),B) -> f(B,f(f(B,f(B,B)),f(f(B,B),A)))
% Current number of equations to process: 2387
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [94] f(f(f(f(B,f(B,B)),f(B,A)),f(C,f(B,B))),f(B,B)) -> B
% Rule [91] f(f(f(f(B,f(B,B)),f(B,A)),f(B,f(B,B))),f(B,B)) -> B collapsed.
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [95] f(f(f(f(f(B,A),A),f(C,A)),f(A,f(A,A))),f(A,A)) -> A
% Current number of equations to process: 2436
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [96] f(f(B,A),f(f(f(f(B,A),B),f(C,B)),f(B,f(B,B)))) -> B
% Current number of equations to process: 2545
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced : [97] f(f(B,A),f(f(f(f(B,A),A),f(A,C)),f(A,f(A,A)))) -> A
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [98] f(f(B,B),f(f(f(f(B,A),B),f(C,B)),f(B,f(B,B)))) -> B
% Current number of equations to process: 2776
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced : [99] f(f(B,B),f(f(f(f(A,B),B),f(B,C)),f(B,f(B,B)))) -> B
% Current number of equations to process: 2776
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [100] f(f(f(f(f(B,A),A),f(C,A)),f(D,f(A,A))),f(A,A)) -> A
% Rule [95] f(f(f(f(f(B,A),A),f(C,A)),f(A,f(A,A))),f(A,A)) -> A collapsed.
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [101] f(f(B,B),f(f(f(f(B,A),B),f(C,B)),f(D,f(B,B)))) -> B
% Rule [98] f(f(B,B),f(f(f(f(B,A),B),f(C,B)),f(B,f(B,B)))) -> B collapsed.
% Current number of equations to process: 3110
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced : [102] f(f(B,B),f(f(f(f(A,B),B),f(B,C)),f(D,f(B,B)))) -> B
% Rule [99] f(f(B,B),f(f(f(f(A,B),B),f(B,C)),f(B,f(B,B)))) -> B collapsed.
% Current number of equations to process: 3110
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [103] f(f(B,A),f(f(f(f(B,A),B),f(C,B)),f(D,f(B,B)))) -> B
% Rule [96] f(f(B,A),f(f(f(f(B,A),B),f(C,B)),f(B,f(B,B)))) -> B collapsed.
% Current number of equations to process: 3322
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced : [104] f(f(B,A),f(f(f(f(B,A),A),f(A,C)),f(D,f(A,A)))) -> A
% Rule [97] f(f(B,A),f(f(f(f(B,A),A),f(A,C)),f(A,f(A,A)))) -> A collapsed.
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [105] f(f(f(f(f(B,A),B),f(C,B)),f(f(B,B),D)),f(B,B)) -> B
% Current number of equations to process: 3568
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced : [106] f(f(f(f(f(B,A),A),f(A,C)),f(f(A,A),D)),f(A,A)) -> A
% Current number of equations to process: 3568
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [107] f(f(f(f(B,A),A),f(C,A)),f(A,A)) -> f(f(A,A),f(f(f(B,A),A),f(C,A)))
% Current number of equations to process: 3770
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [108] f(f(B,B),f(f(f(f(B,A),B),f(B,C)),f(f(B,B),D))) -> B
% Current number of equations to process: 3862
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [109] f(f(B,A),f(f(f(f(B,A),B),f(B,C)),f(f(B,B),D))) -> B
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [110] f(f(f(B,f(B,B)),f(A,B)),f(B,B)) -> f(f(B,B),f(f(B,f(B,B)),f(A,B)))
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [111] f(f(f(B,f(B,B)),f(B,A)),f(B,B)) -> f(f(B,B),f(f(B,f(B,B)),f(B,A)))
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [112] f(f(f(f(f(B,A),B),f(C,B)),f(B,f(B,B))),f(B,B)) -> B
% Current number of equations to process: 4097
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced : [113] f(f(f(f(f(B,A),A),f(A,C)),f(A,f(A,A))),f(A,A)) -> A
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [114] f(f(B,A),f(f(f(f(B,A),B),f(B,C)),f(B,f(B,B)))) -> B
% Current number of equations to process: 4313
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [115] f(f(B,B),f(f(f(f(B,A),B),f(B,C)),f(B,f(B,B)))) -> B
% Current number of equations to process: 4440
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [116] f(f(f(f(f(B,A),B),f(C,B)),f(D,f(B,B))),f(B,B)) -> B
% Rule [112] f(f(f(f(f(B,A),B),f(C,B)),f(B,f(B,B))),f(B,B)) -> B collapsed.
% Current number of equations to process: 4530
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced : [117] f(f(f(f(f(B,A),A),f(A,C)),f(D,f(A,A))),f(A,A)) -> A
% Rule [113] f(f(f(f(f(B,A),A),f(A,C)),f(A,f(A,A))),f(A,A)) -> A collapsed.
% Current number of equations to process: 4530
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [118] f(f(B,B),f(f(f(f(B,A),B),f(B,C)),f(D,f(B,B)))) -> B
% Rule [115] f(f(B,B),f(f(f(f(B,A),B),f(B,C)),f(B,f(B,B)))) -> B collapsed.
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [119] f(f(B,A),f(f(f(f(B,A),B),f(B,C)),f(D,f(B,B)))) -> B
% Rule [114] f(f(B,A),f(f(f(f(B,A),B),f(B,C)),f(B,f(B,B)))) -> B collapsed.
% Current number of equations to process: 4864
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [120] f(f(f(f(f(B,A),B),f(B,C)),f(f(B,B),D)),f(B,B)) -> B
% Current number of equations to process: 4985
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [121] f(f(f(f(B,A),B),f(C,B)),f(B,B)) -> f(f(B,B),f(f(f(B,A),B),f(C,B)))
% Current number of equations to process: 2697
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [122] f(f(f(f(B,A),A),f(A,C)),f(A,A)) -> f(f(A,A),f(f(f(B,A),A),f(A,C)))
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [123] f(f(f(f(f(B,A),B),f(B,C)),f(B,f(B,B))),f(B,B)) -> B
% Current number of equations to process: 2830
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [124] f(f(f(f(f(B,A),B),f(B,C)),f(D,f(B,B))),f(B,B)) -> B
% Rule [123] f(f(f(f(f(B,A),B),f(B,C)),f(B,f(B,B))),f(B,B)) -> B collapsed.
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [125] f(f(f(f(B,A),B),f(B,C)),f(B,B)) -> f(f(B,B),f(f(f(B,A),B),f(B,C)))
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [126] f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(B,B))))) -> f(B,B)
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [127] f(f(B,f(B,A)),f(f(B,A),f(f(B,f(B,A)),B))) -> f(f(B,f(B,A)),B)
% Current number of equations to process: 3119
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [128] f(f(B,f(A,B)),f(f(A,B),f(f(B,f(A,B)),B))) -> f(f(B,f(A,B)),B)
% Current number of equations to process: 3197
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [129] f(f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(B,B)))),B) -> f(B,B)
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [130] f(f(B,A),f(f(A,f(C,f(f(B,A),A))),f(f(B,A),A))) -> f(f(B,A),A)
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [131] f(B,f(f(f(B,A),f(C,f(B,f(B,A)))),f(B,f(B,A)))) -> f(B,f(B,A))
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [132] f(B,f(f(f(A,B),f(C,f(B,f(A,B)))),f(B,f(A,B)))) -> f(B,f(A,B))
% Current number of equations to process: 3521
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [133] f(f(B,A),f(f(B,f(C,f(f(B,A),B))),f(f(B,A),B))) -> f(f(B,A),B)
% Current number of equations to process: 3599
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [134] f(f(f(B,f(B,B)),f(B,A)),f(B,f(B,B))) -> f(f(f(B,f(B,B)),f(B,A)),B)
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [135] f(f(f(B,f(B,B)),f(A,B)),f(B,f(B,B))) -> f(f(f(B,f(B,B)),f(A,B)),B)
% Current number of equations to process: 3665
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [136] f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B))
% Rule [126] f(B,f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(B,B))))) -> f(B,B)
% collapsed.
% Rule [129] f(f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(B,B)))),B) -> f(B,B)
% collapsed.
% Current number of equations to process: 3680
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [137] f(B,f(f(A,f(A,A)),f(A,f(A,A)))) -> f(A,f(A,A))
% Rule [136] f(f(B,f(B,B)),f(f(B,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 3888
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [138] f(B,f(B,f(A,f(A,A)))) -> f(A,f(A,A))
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [139] f(B,B) <-> f(B,f(A,f(A,A)))
% The conjecture has been reduced. 
% Conjecture is now:
% f(a,f(f(b,c),f(c,f(c,c)))) = f(c,f(f(b,a),f(c,f(c,c))))
% 
% Current number of equations to process: 3902
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced : [140] f(B,f(A,f(A,A))) <-> f(B,B)
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [141] f(f(B,B),f(A,f(A,A))) -> B
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [142] f(f(f(B,f(B,B)),f(B,f(B,B))),A) -> f(B,f(B,B))
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [143] f(f(B,f(B,B)),f(f(B,f(B,B)),A)) -> A
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [144] f(A,A) <-> f(f(B,f(B,B)),A)
% Current number of equations to process: 3908
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced : [145] f(f(B,f(B,B)),A) <-> f(A,A)
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [146] f(f(B,f(B,B)),f(A,A)) -> A
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [147] f(f(B,A),f(f(f(f(B,A),A),f(C,f(C,C))),A)) -> A
% Current number of equations to process: 3960
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [148] f(f(B,A),f(f(f(f(B,A),B),f(C,f(C,C))),B)) -> B
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [149] f(f(B,f(A,f(A,A))),B) -> f(B,f(B,B))
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [150] f(f(B,f(A,f(C,f(C,C)))),A) -> f(A,A)
% Current number of equations to process: 4081
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [151] f(B,f(f(B,f(A,f(A,A))),C)) -> f(B,B)
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [152] f(f(B,A),f(A,f(C,f(C,C)))) -> A
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [153] f(f(B,f(A,f(A,A))),f(B,C)) -> B
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [154] f(f(f(B,A),f(C,f(C,C))),A) -> f(B,A)
% Rule [147] f(f(B,A),f(f(f(f(B,A),A),f(C,f(C,C))),A)) -> A collapsed.
% Rule [148] f(f(B,A),f(f(f(f(B,A),B),f(C,f(C,C))),B)) -> B collapsed.
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [155] f(B,f(f(B,A),f(C,f(C,C)))) -> f(B,A)
% Current number of equations to process: 4086
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [156] f(f(B,f(A,f(A,A))),f(C,B)) -> B
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [157] f(f(B,A),f(B,f(C,f(C,C)))) -> B
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [158] f(B,f(A,f(B,f(C,f(C,C))))) -> f(B,B)
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [159] f(B,f(f(A,B),f(C,f(C,C)))) -> f(A,B)
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [160] f(f(f(B,A),f(C,f(C,C))),B) -> f(B,A)
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [161] f(f(f(B,f(A,f(A,A))),C),B) -> f(B,B)
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [162] f(A,f(A,A)) <-> f(B,f(B,B))
% Current number of equations to process: 4179
% Current number of ordered equations: 0
% Current number of rules: 113
% Rule [135] f(f(f(B,f(B,B)),f(A,B)),f(B,f(B,B))) -> f(f(f(B,f(B,B)),f(A,B)),B) is composed into 
% [135] f(f(f(B,f(B,B)),f(A,B)),f(B,f(B,B))) -> f(A,B)
% New rule produced : [163] f(f(f(B,f(B,B)),f(A,B)),B) -> f(A,B)
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [164] f(A,f(B,f(B,B))) <-> f(f(B,f(B,B)),A)
% Rule [134] f(f(f(B,f(B,B)),f(B,A)),f(B,f(B,B))) -> f(f(f(B,f(B,B)),f(B,A)),B)
% collapsed.
% Rule [135] f(f(f(B,f(B,B)),f(A,B)),f(B,f(B,B))) -> f(A,B) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% f(a,f(f(c,f(c,c)),f(b,c))) = f(c,f(f(c,f(c,c)),f(b,a)))
% 
% Current number of equations to process: 4196
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced : [165] f(f(B,f(B,B)),A) <-> f(A,f(B,f(B,B)))
% Current number of equations to process: 4196
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [166] f(f(f(B,f(B,B)),A),A) -> f(B,f(B,B))
% Current number of equations to process: 4195
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [167] f(f(A,f(A,A)),f(B,f(A,f(A,A)))) -> B
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [168] f(f(B,f(A,f(A,A))),f(C,f(C,C))) -> B
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [169] f(B,f(f(A,f(A,A)),f(C,f(C,C)))) -> f(A,f(A,A))
% Rule [137] 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: 4243
% Current number of ordered equations: 0
% Current number of rules: 117
% Rule [93] f(f(f(B,f(B,B)),f(f(B,B),A)),B) -> f(B,f(f(B,f(B,B)),f(f(B,B),A))) is composed into 
% [93] f(f(f(B,f(B,B)),f(f(B,B),A)),B) -> f(B,f(B,B))
% New rule produced : [170] f(B,f(f(B,f(B,B)),f(f(B,B),A))) -> f(B,f(B,B))
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [171] f(f(B,A),f(f(f(B,f(B,B)),f(f(B,A),A)),A)) -> A
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [172] f(f(f(B,f(B,B)),f(A,f(A,A))),C) -> f(A,f(A,A))
% Rule [142] 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: 4303
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [173] f(f(B,f(B,B)),f(f(A,f(A,A)),C)) -> C
% Rule [143] f(f(B,f(B,B)),f(f(B,f(B,B)),A)) -> A collapsed.
% Current number of equations to process: 4320
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [174] f(f(B,f(f(A,f(A,A)),C)),C) -> f(C,C)
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [175] f(B,f(f(f(A,f(A,A)),B),C)) -> f(B,B)
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [176] f(f(B,A),f(f(C,f(C,C)),A)) -> A
% Current number of equations to process: 4347
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [177] f(f(f(B,f(B,B)),A),f(A,C)) -> A
% Current number of equations to process: 4346
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [178] f(f(f(B,f(B,B)),f(A,C)),C) -> f(A,C)
% Rule [163] f(f(f(B,f(B,B)),f(A,B)),B) -> f(A,B) collapsed.
% Rule [171] f(f(B,A),f(f(f(B,f(B,B)),f(f(B,A),A)),A)) -> A collapsed.
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [179] f(B,f(f(A,f(A,A)),f(B,C))) -> f(B,C)
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [180] f(f(f(B,f(B,B)),A),f(C,A)) -> A
% Current number of equations to process: 4351
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [181] f(f(B,A),f(f(C,f(C,C)),B)) -> B
% Current number of equations to process: 4350
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [182] f(B,f(A,f(f(C,f(C,C)),B))) -> f(B,B)
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [183] f(B,f(f(A,f(A,A)),f(C,B))) -> f(C,B)
% Current number of equations to process: 4348
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [184] f(f(f(B,f(B,B)),f(A,C)),A) -> f(A,C)
% Current number of equations to process: 4347
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [185] f(f(f(f(B,f(B,B)),A),C),A) -> f(A,A)
% Current number of equations to process: 4346
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [186] f(B,f(A,f(A,A))) <-> f(f(C,f(C,C)),B)
% Rule [164] f(A,f(B,f(B,B))) <-> f(f(B,f(B,B)),A) collapsed.
% Current number of equations to process: 4418
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced : [187] f(f(C,f(C,C)),B) <-> f(B,f(A,f(A,A)))
% Rule [165] f(f(B,f(B,B)),A) <-> f(A,f(B,f(B,B))) collapsed.
% Current number of equations to process: 4418
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [188] f(B,B) <-> f(B,f(A,f(f(C,f(C,C)),A)))
% Current number of equations to process: 4417
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced : [189] f(B,f(A,f(f(C,f(C,C)),A))) <-> f(B,B)
% Current number of equations to process: 4417
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [190] f(f(B,B),f(A,f(f(C,f(C,C)),A))) -> B
% Current number of equations to process: 4415
% Current number of ordered equations: 0
% Current number of rules: 132
% Rule [188] f(B,B) <-> f(B,f(A,f(f(C,f(C,C)),A))) is composed into [188]
% f(B,B) <->
% f(B,
% f(C,
% f(C,C)))
% New rule produced : [191] f(A,f(f(B,f(B,B)),A)) -> f(B,f(B,B))
% Rule [189] f(B,f(A,f(f(C,f(C,C)),A))) <-> f(B,B) collapsed.
% Rule [190] f(f(B,B),f(A,f(f(C,f(C,C)),A))) -> B collapsed.
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [192] f(f(B,f(B,B)),f(A,f(C,f(C,C)))) -> A
% Rule [167] f(f(A,f(A,A)),f(B,f(A,f(A,A)))) -> B collapsed.
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [193] f(f(f(B,A),f(B,A)),f(B,B)) -> f(f(B,B),f(f(B,A),f(B,A)))
% Current number of equations to process: 4791
% Current number of ordered equations: 0
% Current number of rules: 132
% Rule [88] f(f(f(B,f(B,B)),f(A,f(B,B))),B) -> f(B,f(f(B,f(B,B)),f(A,f(B,B)))) is composed into 
% [88] f(f(f(B,f(B,B)),f(A,f(B,B))),B) -> f(B,f(B,B))
% New rule produced : [194] f(B,f(f(B,f(B,B)),f(A,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [195] f(B,f(f(A,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 4996
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [196] f(f(f(B,f(B,B)),f(A,f(C,C))),C) -> f(C,f(C,C))
% Rule [88] f(f(f(B,f(B,B)),f(A,f(B,B))),B) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [197] f(f(f(B,f(B,B)),f(f(A,A),C)),A) -> f(A,f(A,A))
% Rule [93] f(f(f(B,f(B,B)),f(f(B,B),A)),B) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [198] f(B,f(f(c,f(c,c)),f(f(B,B),A))) -> f(B,f(B,B))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [199] f(f(f(f(B,A),f(B,A)),f(C,f(B,B))),f(B,B)) -> B
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [200] f(f(f(f(B,A),f(B,A)),f(f(A,A),C)),f(A,A)) -> A
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [201] f(f(B,B),f(f(f(A,B),f(A,B)),f(f(B,B),C))) -> B
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [202] f(f(B,B),f(f(f(A,B),f(A,B)),f(C,f(B,B)))) -> B
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [203] f(f(B,B),f(f(f(B,A),f(B,A)),f(C,f(B,B)))) -> B
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [204] f(f(B,B),f(f(f(B,A),f(B,A)),f(f(B,B),C))) -> B
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [205] f(f(f(f(B,A),f(B,A)),f(C,f(A,A))),f(A,A)) -> A
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [206] f(f(f(f(B,A),f(B,A)),f(f(B,B),C)),f(B,B)) -> B
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 143
% Rule [111] f(f(f(B,f(B,B)),f(B,A)),f(B,B)) -> f(f(B,B),f(f(B,f(B,B)),f(B,A))) is composed into 
% [111] f(f(f(B,f(B,B)),f(B,A)),f(B,B)) -> f(B,f(B,B))
% New rule produced : [207] f(f(B,B),f(f(B,f(B,B)),f(B,A))) -> f(B,f(B,B))
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [208] f(B,f(f(A,f(A,A)),f(f(B,B),C))) -> f(B,f(B,B))
% Rule [170] f(B,f(f(B,f(B,B)),f(f(B,B),A))) -> f(B,f(B,B)) collapsed.
% Rule [198] f(B,f(f(c,f(c,c)),f(f(B,B),A))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 143
% Rule [110] f(f(f(B,f(B,B)),f(A,B)),f(B,B)) -> f(f(B,B),f(f(B,f(B,B)),f(A,B))) is composed into 
% [110] f(f(f(B,f(B,B)),f(A,B)),f(B,B)) -> f(B,f(B,B))
% New rule produced : [209] f(f(B,B),f(f(B,f(B,B)),f(A,B))) -> f(B,f(B,B))
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [210] f(f(f(B,A),f(C,f(C,C))),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 1420
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [211] f(f(f(B,A),f(C,f(C,C))),f(A,A)) -> f(A,f(A,A))
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [212] f(f(f(B,f(B,B)),f(A,C)),f(A,A)) -> f(A,f(A,A))
% Rule [111] f(f(f(B,f(B,B)),f(B,A)),f(B,B)) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 1424
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [213] f(f(f(B,f(B,B)),f(A,C)),f(C,C)) -> f(C,f(C,C))
% Rule [110] f(f(f(B,f(B,B)),f(A,B)),f(B,B)) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 1496
% Current number of ordered equations: 0
% Current number of rules: 146
% Rule [193] f(f(f(B,A),f(B,A)),f(B,B)) -> f(f(B,B),f(f(B,A),f(B,A))) is composed into 
% [193] f(f(f(B,A),f(B,A)),f(B,B)) -> f(B,f(B,B))
% New rule produced : [214] f(f(B,B),f(f(B,A),f(B,A))) -> f(B,f(B,B))
% Current number of equations to process: 1525
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [215] f(f(B,B),f(f(c,f(c,c)),f(f(B,A),B))) -> f(B,f(B,B))
% Current number of equations to process: 1523
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [216] f(f(B,B),f(f(c,f(c,c)),f(f(A,B),B))) -> f(B,f(B,B))
% Current number of equations to process: 1522
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [217] f(f(f(f(B,f(B,B)),f(f(A,A),C)),f(D,A)),A) -> f(A,A)
% Rule [72] f(f(f(f(B,f(B,B)),f(f(B,B),A)),f(C,B)),B) -> f(B,B) collapsed.
% Current number of equations to process: 1513
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [218] f(B,f(f(f(A,f(A,A)),f(C,f(B,B))),f(B,D))) -> f(B,B)
% Rule [38] f(B,f(f(f(B,f(B,B)),f(A,f(B,B))),f(B,C))) -> f(B,B) collapsed.
% Current number of equations to process: 1511
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [219] f(B,f(f(f(A,f(A,A)),f(C,f(B,B))),f(D,B))) -> f(B,B)
% Rule [63] f(B,f(f(f(B,f(B,B)),f(A,f(B,B))),f(C,B))) -> f(B,B) collapsed.
% Current number of equations to process: 1509
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [220] f(f(f(f(B,f(B,B)),f(A,f(C,C))),f(C,D)),C) -> f(C,C)
% Rule [64] f(f(f(f(B,f(B,B)),f(A,f(B,B))),f(B,C)),B) -> f(B,B) collapsed.
% Current number of equations to process: 1507
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [221] f(B,f(f(f(A,f(A,A)),f(f(B,B),C)),f(B,D))) -> f(B,B)
% Rule [66] f(B,f(f(f(B,f(B,B)),f(f(B,B),A)),f(B,C))) -> f(B,B) collapsed.
% Current number of equations to process: 1506
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [222] f(f(f(f(B,f(B,B)),f(A,f(C,C))),f(D,C)),C) -> f(C,C)
% Rule [69] f(f(f(f(B,f(B,B)),f(A,f(B,B))),f(C,B)),B) -> f(B,B) collapsed.
% Current number of equations to process: 1504
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [223] f(B,f(f(f(A,f(A,A)),f(f(B,B),C)),f(D,B))) -> f(B,B)
% Rule [70] f(B,f(f(f(B,f(B,B)),f(f(B,B),A)),f(C,B))) -> f(B,B) collapsed.
% Current number of equations to process: 1503
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [224] f(f(f(f(B,f(B,B)),f(f(A,A),C)),f(A,D)),A) -> f(A,A)
% Rule [71] f(f(f(f(B,f(B,B)),f(f(B,B),A)),f(B,C)),B) -> f(B,B) collapsed.
% Current number of equations to process: 1502
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [225] f(B,f(f(f(A,f(B,B)),f(A,f(B,B))),f(B,C))) -> f(B,B)
% Current number of equations to process: 1496
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [226] f(B,f(f(f(A,f(B,B)),f(A,f(B,B))),f(C,B))) -> f(B,B)
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [227] f(f(f(f(B,f(A,A)),f(B,f(A,A))),f(A,C)),A) -> f(A,A)
% Current number of equations to process: 1494
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [228] f(f(f(f(B,f(A,A)),f(B,f(A,A))),f(C,A)),A) -> f(A,A)
% Current number of equations to process: 1493
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [229] f(f(f(B,A),f(B,A)),f(A,A)) -> f(A,f(A,A))
% Current number of equations to process: 1492
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [230] f(B,f(f(f(A,f(B,B)),f(C,f(C,C))),f(B,D))) -> f(B,B)
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [231] f(B,f(f(f(A,f(B,B)),f(C,f(C,C))),f(D,B))) -> f(B,B)
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [232] f(f(f(f(B,f(A,A)),f(C,f(C,C))),f(A,D)),A) -> f(A,A)
% Current number of equations to process: 1480
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [233] f(f(f(f(B,f(A,A)),f(C,f(C,C))),f(D,A)),A) -> f(A,A)
% Current number of equations to process: 1478
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [234] f(f(B,B),f(f(B,A),f(B,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [235] f(B,f(f(A,f(A,A)),f(C,f(B,B)))) -> f(B,f(B,B))
% Rule [194] f(B,f(f(B,f(B,B)),f(A,f(B,B)))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [236] f(B,f(f(A,f(B,B)),f(C,f(C,C)))) -> f(B,f(B,B))
% Rule [195] f(B,f(f(A,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [237] f(f(f(B,A),f(B,A)),f(B,f(C,f(C,C)))) -> f(B,f(B,B))
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [238] f(f(f(B,A),f(B,A)),f(f(C,f(C,C)),B)) -> f(B,f(B,B))
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [239] f(f(f(B,f(A,A)),f(B,f(A,A))),A) -> f(A,f(A,A))
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [240] f(f(f(B,f(A,A)),f(C,f(C,C))),A) -> f(A,f(A,A))
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [241] f(f(B,B),f(f(A,B),f(A,B))) -> f(B,f(B,B))
% Current number of equations to process: 1577
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [242] f(f(B,B),f(f(A,f(A,A)),f(B,C))) -> f(B,f(B,B))
% Rule [207] f(f(B,B),f(f(B,f(B,B)),f(B,A))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [243] f(f(B,B),f(f(A,f(A,A)),f(C,B))) -> f(B,f(B,B))
% Rule [209] f(f(B,B),f(f(B,f(B,B)),f(A,B))) -> f(B,f(B,B)) collapsed.
% Rule [215] f(f(B,B),f(f(c,f(c,c)),f(f(B,A),B))) -> f(B,f(B,B)) collapsed.
% Rule [216] f(f(B,B),f(f(c,f(c,c)),f(f(A,B),B))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [244] f(B,f(f(A,f(B,B)),f(A,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [245] f(f(B,f(A,f(A,A))),f(f(C,B),f(C,B))) -> f(B,f(B,B))
% Current number of equations to process: 1784
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [246] f(f(B,f(A,f(A,A))),f(f(B,C),f(B,C))) -> f(B,f(B,B))
% Current number of equations to process: 1783
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [247] f(f(B,B),f(f(A,B),f(B,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 1784
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [248] f(f(f(B,f(B,B)),A),f(f(C,A),f(C,A))) -> f(c,f(c,c))
% Current number of equations to process: 1821
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [249] f(f(f(B,f(B,B)),A),f(f(A,C),f(A,C))) -> f(c,f(c,c))
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [250] f(f(B,B),f(f(B,A),f(C,f(C,C)))) -> f(B,f(B,B))
% Rule [234] f(f(B,B),f(f(B,A),f(B,f(B,B)))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 1836
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [251] f(f(B,B),f(f(c,f(c,c)),f(f(f(A,B),B),f(C,B)))) -> B
% Current number of equations to process: 1857
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [252] f(f(B,A),f(f(c,f(c,c)),f(f(f(B,A),A),f(C,A)))) -> A
% Current number of equations to process: 1856
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [253] f(f(f(c,f(c,c)),f(f(f(B,A),A),f(C,A))),f(A,A)) -> A
% Current number of equations to process: 1852
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [254] f(f(B,B),f(f(c,f(c,c)),f(f(f(B,A),B),f(C,B)))) -> B
% Current number of equations to process: 1851
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [255] f(f(B,B),f(f(c,f(c,c)),f(f(f(A,B),B),f(B,C)))) -> B
% Current number of equations to process: 1850
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [256] f(f(B,A),f(f(c,f(c,c)),f(f(f(B,A),B),f(C,B)))) -> B
% Current number of equations to process: 1849
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [257] f(f(B,A),f(f(c,f(c,c)),f(f(f(B,A),A),f(A,C)))) -> A
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [258] f(f(f(c,f(c,c)),f(f(f(B,A),B),f(C,B))),f(B,B)) -> B
% Current number of equations to process: 1844
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [259] f(f(f(c,f(c,c)),f(f(f(B,A),A),f(A,C))),f(A,A)) -> A
% Current number of equations to process: 1843
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [260] f(f(B,B),f(f(c,f(c,c)),f(f(f(B,A),B),f(B,C)))) -> B
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [261] f(f(B,A),f(f(c,f(c,c)),f(f(f(B,A),B),f(B,C)))) -> B
% Current number of equations to process: 1841
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [262] f(f(f(c,f(c,c)),f(f(f(B,A),B),f(B,C))),f(B,B)) -> B
% Current number of equations to process: 1840
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [263] f(f(f(f(B,f(B,B)),f(A,C)),f(D,f(A,A))),f(A,A)) -> A
% Rule [94] f(f(f(f(B,f(B,B)),f(B,A)),f(C,f(B,B))),f(B,B)) -> B collapsed.
% Current number of equations to process: 1836
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [264] f(f(f(f(B,f(B,B)),f(A,C)),f(f(C,C),D)),f(C,C)) -> C
% Rule [85] f(f(f(f(B,f(B,B)),f(A,B)),f(f(B,B),C)),f(B,B)) -> B collapsed.
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [265] f(f(B,B),f(f(f(A,f(A,A)),f(C,B)),f(f(B,B),D))) -> B
% Rule [74] f(f(B,B),f(f(f(B,f(B,B)),f(A,B)),f(f(B,B),C))) -> B collapsed.
% Current number of equations to process: 1833
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [266] f(f(B,B),f(f(f(A,f(A,A)),f(C,B)),f(D,f(B,B)))) -> B
% Rule [83] f(f(B,B),f(f(f(B,f(B,B)),f(A,B)),f(C,f(B,B)))) -> B collapsed.
% Current number of equations to process: 1832
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [267] f(f(B,B),f(f(f(A,f(A,A)),f(B,C)),f(D,f(B,B)))) -> B
% Rule [90] f(f(B,B),f(f(f(B,f(B,B)),f(B,A)),f(C,f(B,B)))) -> B collapsed.
% Current number of equations to process: 1831
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [268] f(f(B,B),f(f(f(A,f(A,A)),f(B,C)),f(f(B,B),D))) -> B
% Rule [87] f(f(B,B),f(f(f(B,f(B,B)),f(B,A)),f(f(B,B),C))) -> B collapsed.
% Current number of equations to process: 1830
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [269] f(f(f(f(B,f(B,B)),f(A,C)),f(D,f(C,C))),f(C,C)) -> C
% Rule [89] f(f(f(f(B,f(B,B)),f(A,B)),f(C,f(B,B))),f(B,B)) -> B collapsed.
% Current number of equations to process: 1828
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [270] f(f(f(f(B,f(B,B)),f(A,C)),f(f(A,A),D)),f(A,A)) -> A
% Rule [92] f(f(f(f(B,f(B,B)),f(B,A)),f(f(B,B),C)),f(B,B)) -> B collapsed.
% Current number of equations to process: 1827
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [271] f(f(B,B),f(f(B,f(B,B)),f(f(f(A,B),B),f(C,B)))) -> B
% Current number of equations to process: 1823
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [272] f(f(B,A),f(f(B,f(B,B)),f(f(f(B,A),A),f(C,A)))) -> A
% Current number of equations to process: 1822
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [273] f(f(f(B,f(B,B)),f(f(f(B,A),A),f(C,A))),f(A,A)) -> A
% Current number of equations to process: 1821
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [274] f(f(B,B),f(f(B,f(B,B)),f(f(f(B,A),B),f(C,B)))) -> B
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [275] f(f(B,B),f(f(B,f(B,B)),f(f(f(A,B),B),f(B,C)))) -> B
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [276] f(f(B,A),f(f(B,f(B,B)),f(f(f(B,A),B),f(C,B)))) -> B
% Current number of equations to process: 1818
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [277] f(f(B,A),f(f(B,f(B,B)),f(f(f(B,A),A),f(A,C)))) -> A
% Current number of equations to process: 1817
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [278] f(f(f(B,f(B,B)),f(f(f(B,A),B),f(C,B))),f(B,B)) -> B
% Current number of equations to process: 1816
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [279] f(f(f(B,f(B,B)),f(f(f(B,A),A),f(A,C))),f(A,A)) -> A
% Current number of equations to process: 1815
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [280] f(f(B,B),f(f(B,f(B,B)),f(f(f(B,A),B),f(B,C)))) -> B
% Current number of equations to process: 1814
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [281] f(f(B,A),f(f(B,f(B,B)),f(f(f(B,A),B),f(B,C)))) -> B
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [282] f(f(f(B,f(B,B)),f(f(f(B,A),B),f(B,C))),f(B,B)) -> B
% Current number of equations to process: 1812
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [283] f(f(B,f(A,f(A,A))),f(f(B,C),f(A,f(A,A)))) -> f(A,f(A,A))
% Current number of equations to process: 1810
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [284] f(f(f(B,f(B,B)),A),f(f(A,C),f(B,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 1809
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [285] f(f(f(B,f(B,B)),f(f(f(A,f(A,A)),B),C)),B) -> f(B,f(B,B))
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [286] f(f(f(B,f(B,B)),f(B,A)),f(B,f(C,f(C,C)))) -> f(B,f(B,B))
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [287] f(B,f(f(B,f(B,B)),f(f(B,f(A,f(A,A))),C))) -> f(B,f(B,B))
% Current number of equations to process: 1720
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [288] f(B,f(f(B,f(B,B)),f(f(f(A,f(A,A)),B),C))) -> f(B,f(B,B))
% Current number of equations to process: 1719
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [289] f(f(B,f(A,f(A,A))),f(f(B,f(B,B)),f(B,C))) -> f(B,f(B,B))
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [290] f(f(B,B),f(f(A,f(A,A)),f(f(f(C,B),B),f(D,B)))) -> B
% Rule [251] f(f(B,B),f(f(c,f(c,c)),f(f(f(A,B),B),f(C,B)))) -> B collapsed.
% Rule [271] f(f(B,B),f(f(B,f(B,B)),f(f(f(A,B),B),f(C,B)))) -> B collapsed.
% Current number of equations to process: 1680
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [291] f(f(B,A),f(f(C,f(C,C)),f(f(f(B,A),A),f(D,A)))) -> A
% Rule [252] f(f(B,A),f(f(c,f(c,c)),f(f(f(B,A),A),f(C,A)))) -> A collapsed.
% Rule [272] f(f(B,A),f(f(B,f(B,B)),f(f(f(B,A),A),f(C,A)))) -> A collapsed.
% Current number of equations to process: 1679
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [292] f(f(f(B,f(B,B)),f(f(f(A,C),C),f(D,C))),f(C,C)) -> C
% Rule [253] f(f(f(c,f(c,c)),f(f(f(B,A),A),f(C,A))),f(A,A)) -> A collapsed.
% Rule [273] f(f(f(B,f(B,B)),f(f(f(B,A),A),f(C,A))),f(A,A)) -> A collapsed.
% Current number of equations to process: 1678
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [293] f(f(B,B),f(f(A,f(A,A)),f(f(f(B,C),B),f(D,B)))) -> B
% Rule [254] f(f(B,B),f(f(c,f(c,c)),f(f(f(B,A),B),f(C,B)))) -> B collapsed.
% Rule [274] f(f(B,B),f(f(B,f(B,B)),f(f(f(B,A),B),f(C,B)))) -> B collapsed.
% Current number of equations to process: 1677
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [294] f(f(B,B),f(f(A,f(A,A)),f(f(f(C,B),B),f(B,D)))) -> B
% Rule [255] f(f(B,B),f(f(c,f(c,c)),f(f(f(A,B),B),f(B,C)))) -> B collapsed.
% Rule [275] f(f(B,B),f(f(B,f(B,B)),f(f(f(A,B),B),f(B,C)))) -> B collapsed.
% Current number of equations to process: 1676
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [295] f(f(B,A),f(f(C,f(C,C)),f(f(f(B,A),B),f(D,B)))) -> B
% Rule [256] f(f(B,A),f(f(c,f(c,c)),f(f(f(B,A),B),f(C,B)))) -> B collapsed.
% Rule [276] f(f(B,A),f(f(B,f(B,B)),f(f(f(B,A),B),f(C,B)))) -> B collapsed.
% Current number of equations to process: 1675
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [296] f(f(B,A),f(f(C,f(C,C)),f(f(f(B,A),A),f(A,D)))) -> A
% Rule [257] f(f(B,A),f(f(c,f(c,c)),f(f(f(B,A),A),f(A,C)))) -> A collapsed.
% Rule [277] f(f(B,A),f(f(B,f(B,B)),f(f(f(B,A),A),f(A,C)))) -> A collapsed.
% Current number of equations to process: 1674
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [297] f(f(f(B,f(B,B)),f(f(f(A,C),A),f(D,A))),f(A,A)) -> A
% Rule [258] f(f(f(c,f(c,c)),f(f(f(B,A),B),f(C,B))),f(B,B)) -> B collapsed.
% Rule [278] f(f(f(B,f(B,B)),f(f(f(B,A),B),f(C,B))),f(B,B)) -> B collapsed.
% Current number of equations to process: 1673
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [298] f(f(f(B,f(B,B)),f(f(f(A,C),C),f(C,D))),f(C,C)) -> C
% Rule [259] f(f(f(c,f(c,c)),f(f(f(B,A),A),f(A,C))),f(A,A)) -> A collapsed.
% Rule [279] f(f(f(B,f(B,B)),f(f(f(B,A),A),f(A,C))),f(A,A)) -> A collapsed.
% Current number of equations to process: 1672
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [299] f(f(B,B),f(f(A,f(A,A)),f(f(f(B,C),B),f(B,D)))) -> B
% Rule [260] f(f(B,B),f(f(c,f(c,c)),f(f(f(B,A),B),f(B,C)))) -> B collapsed.
% Rule [280] f(f(B,B),f(f(B,f(B,B)),f(f(f(B,A),B),f(B,C)))) -> B collapsed.
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [300] f(f(B,A),f(f(C,f(C,C)),f(f(f(B,A),B),f(B,D)))) -> B
% Rule [261] f(f(B,A),f(f(c,f(c,c)),f(f(f(B,A),B),f(B,C)))) -> B collapsed.
% Rule [281] f(f(B,A),f(f(B,f(B,B)),f(f(f(B,A),B),f(B,C)))) -> B collapsed.
% Current number of equations to process: 1670
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [301] f(f(f(B,f(B,B)),f(f(f(A,C),A),f(A,D))),f(A,A)) -> A
% Rule [262] f(f(f(c,f(c,c)),f(f(f(B,A),B),f(B,C))),f(B,B)) -> B collapsed.
% Rule [282] f(f(f(B,f(B,B)),f(f(f(B,A),B),f(B,C))),f(B,B)) -> B collapsed.
% Current number of equations to process: 1669
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [302] f(f(f(f(B,A),f(C,f(C,C))),f(f(A,A),D)),f(A,A)) -> A
% Current number of equations to process: 1668
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [303] f(f(B,B),f(f(f(A,B),f(C,f(C,C))),f(f(B,B),D))) -> B
% Current number of equations to process: 1667
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [304] f(f(B,B),f(f(f(A,B),f(C,f(C,C))),f(D,f(B,B)))) -> B
% Current number of equations to process: 1666
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [305] f(f(B,B),f(f(f(B,A),f(C,f(C,C))),f(f(B,B),D))) -> B
% Current number of equations to process: 1665
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [306] f(f(f(f(B,A),f(C,f(C,C))),f(D,f(A,A))),f(A,A)) -> A
% Current number of equations to process: 1664
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [307] f(f(B,B),f(f(f(B,A),f(C,f(C,C))),f(D,f(B,B)))) -> B
% Current number of equations to process: 1663
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [308] f(f(f(f(B,A),f(C,f(C,C))),f(f(B,B),D)),f(B,B)) -> B
% Current number of equations to process: 1662
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [309] f(f(f(f(B,A),f(C,f(C,C))),f(D,f(B,B))),f(B,B)) -> B
% Current number of equations to process: 1661
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [310] f(f(f(B,f(B,B)),f(A,B)),f(B,f(C,f(C,C)))) -> f(B,f(B,B))
% Current number of equations to process: 1651
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [311] f(B,f(f(B,f(B,B)),f(A,f(B,f(C,f(C,C)))))) -> f(B,f(B,B))
% Current number of equations to process: 1638
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [312] f(B,f(B,B)) <-> f(B,f(f(A,f(A,A)),f(C,f(B,f(A,f(A,A))))))
% Current number of equations to process: 1637
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [313] f(B,f(f(A,f(A,A)),f(C,f(B,f(A,f(A,A)))))) <-> f(B,f(B,B))
% Current number of equations to process: 1637
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [314] f(f(f(B,f(B,B)),f(A,f(C,f(D,f(D,D))))),C) -> f(C,f(C,C))
% Current number of equations to process: 1636
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [315] f(f(f(B,f(B,B)),f(A,f(f(C,f(C,C)),D))),D) -> f(D,f(D,D))
% Current number of equations to process: 1635
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [316] f(f(f(B,f(B,B)),f(A,C)),f(C,f(D,f(D,D)))) -> f(C,f(C,C))
% Rule [310] f(f(f(B,f(B,B)),f(A,B)),f(B,f(C,f(C,C)))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 1634
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [317] f(f(f(B,f(B,B)),f(f(A,f(C,f(C,C))),D)),A) -> f(A,f(A,A))
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [318] f(f(f(B,f(B,B)),f(f(f(A,f(A,A)),C),D)),C) -> f(C,f(C,C))
% Rule [285] f(f(f(B,f(B,B)),f(f(f(A,f(A,A)),B),C)),B) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 1632
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [319] f(f(f(B,f(B,B)),f(A,C)),f(A,f(D,f(D,D)))) -> f(A,f(A,A))
% Rule [286] f(f(f(B,f(B,B)),f(B,A)),f(B,f(C,f(C,C)))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 1631
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [320] f(B,f(f(A,f(A,A)),f(f(B,f(C,f(C,C))),D))) -> f(B,f(B,B))
% Rule [287] f(B,f(f(B,f(B,B)),f(f(B,f(A,f(A,A))),C))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 1613
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [321] f(B,f(f(A,f(A,A)),f(f(f(C,f(C,C)),B),D))) -> f(B,f(B,B))
% Rule [288] f(B,f(f(B,f(B,B)),f(f(f(A,f(A,A)),B),C))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 1612
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [322] f(f(B,f(A,f(A,A))),f(f(C,f(C,C)),f(B,D))) -> f(B,f(B,B))
% Rule [289] f(f(B,f(A,f(A,A))),f(f(B,f(B,B)),f(B,C))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 1611
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [323] f(f(B,f(A,f(A,A))),f(f(B,f(B,B)),f(C,B))) -> f(B,f(B,B))
% Current number of equations to process: 1610
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [324] f(f(f(B,A),f(C,f(C,C))),f(B,f(D,f(D,D)))) -> f(B,f(B,B))
% Current number of equations to process: 1609
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [325] f(f(f(B,A),f(C,f(C,C))),f(f(D,f(D,D)),B)) -> f(B,f(B,B))
% Current number of equations to process: 1595
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [326] f(f(f(B,A),f(C,f(C,C))),f(A,f(D,f(D,D)))) -> f(A,f(A,A))
% Current number of equations to process: 1593
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [327] f(f(f(B,A),f(C,f(C,C))),f(f(D,f(D,D)),A)) -> f(A,f(A,A))
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [328] f(f(f(B,f(B,B)),f(A,C)),f(f(D,f(D,D)),A)) -> f(A,f(A,A))
% Current number of equations to process: 1563
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [329] f(f(f(B,f(B,B)),f(A,C)),f(f(D,f(D,D)),C)) -> f(C,f(C,C))
% Current number of equations to process: 1547
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [330] f(f(f(B,A),f(B,A)),f(A,f(C,f(C,C)))) -> f(A,f(A,A))
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [331] f(f(f(B,A),f(B,A)),f(f(C,f(C,C)),A)) -> f(A,f(A,A))
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 211
% Rule [312] f(B,f(B,B)) <-> f(B,f(f(A,f(A,A)),f(C,f(B,f(A,f(A,A)))))) is composed into 
% [312] f(B,f(B,B)) <-> f(A,f(A,A))
% New rule produced :
% [332] f(B,f(f(A,f(A,A)),f(C,f(B,f(A,f(A,A)))))) -> f(A,f(A,A))
% Rule [313] f(B,f(f(A,f(A,A)),f(C,f(B,f(A,f(A,A)))))) <-> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [333] f(f(B,B),f(f(A,B),f(C,f(C,C)))) -> f(B,f(B,B))
% Rule [247] f(f(B,B),f(f(A,B),f(B,f(B,B)))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [334] f(B,f(B,B)) <-> f(B,f(f(A,f(A,A)),f(C,f(B,f(D,f(D,D))))))
% Current number of equations to process: 2064
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [335] f(B,f(f(A,f(A,A)),f(C,f(B,f(D,f(D,D)))))) <-> f(B,f(B,B))
% Rule [311] f(B,f(f(B,f(B,B)),f(A,f(B,f(C,f(C,C)))))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 2064
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [336] f(B,f(B,B)) <-> f(B,f(f(A,f(A,A)),f(C,f(f(D,f(D,D)),B))))
% Current number of equations to process: 2063
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [337] f(B,f(f(A,f(A,A)),f(C,f(f(D,f(D,D)),B)))) <-> f(B,f(B,B))
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [338] f(f(B,f(A,f(A,A))),f(f(C,f(C,C)),f(D,B))) -> f(B,f(B,B))
% Rule [323] f(f(B,f(A,f(A,A))),f(f(B,f(B,B)),f(C,B))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 2062
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [339] f(f(B,f(A,f(A,A))),f(f(C,B),f(D,f(D,D)))) -> f(B,f(B,B))
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [340] f(f(B,f(A,f(A,A))),f(f(B,C),f(B,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [341] f(f(f(B,f(B,B)),A),f(f(A,C),f(A,f(A,A)))) -> f(A,f(A,A))
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [342] f(f(f(B,f(A,f(C,f(C,C)))),f(B,f(A,A))),A) -> f(A,f(A,A))
% Current number of equations to process: 2056
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [343] f(f(f(B,f(A,A)),f(B,f(A,f(C,f(C,C))))),A) -> f(A,f(A,A))
% Current number of equations to process: 2056
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [344] f(f(f(B,f(f(A,f(A,A)),C)),f(B,f(C,C))),C) -> f(C,f(C,C))
% Current number of equations to process: 2052
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [345] f(f(f(B,f(A,A)),f(B,f(f(C,f(C,C)),A))),A) -> f(A,f(A,A))
% Current number of equations to process: 2052
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [346] f(f(f(B,f(B,B)),A),f(f(C,f(C,C)),f(A,D))) -> f(A,f(A,A))
% Current number of equations to process: 2051
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [347] f(f(f(B,f(B,B)),A),f(f(C,f(C,C)),f(D,A))) -> f(A,f(A,A))
% Current number of equations to process: 2049
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [348] f(B,f(f(A,f(B,f(C,f(C,C)))),f(A,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 2046
% Current number of ordered equations: 1
% Current number of rules: 224
% New rule produced :
% [349] f(B,f(f(A,f(B,B)),f(A,f(B,f(C,f(C,C)))))) -> f(B,f(B,B))
% Current number of equations to process: 2046
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [350] f(B,f(f(A,f(f(C,f(C,C)),B)),f(A,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 2042
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [351] f(B,f(f(A,f(B,B)),f(A,f(f(C,f(C,C)),B)))) -> f(B,f(B,B))
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [352] f(f(B,f(A,f(A,A))),f(f(B,C),f(D,f(D,D)))) -> f(B,f(B,B))
% Rule [283] f(f(B,f(A,f(A,A))),f(f(B,C),f(A,f(A,A)))) -> f(A,f(A,A))
% collapsed.
% Rule [340] f(f(B,f(A,f(A,A))),f(f(B,C),f(B,f(B,B)))) -> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 2037
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [353] f(f(f(B,f(B,B)),A),f(f(C,A),f(D,f(D,D)))) -> f(c,f(c,c))
% Current number of equations to process: 2034
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [354] f(f(f(B,f(B,B)),A),f(f(A,C),f(D,f(D,D)))) -> f(c,f(c,c))
% Rule [284] f(f(f(B,f(B,B)),A),f(f(A,C),f(B,f(B,B)))) -> f(B,f(B,B))
% collapsed.
% Rule [341] f(f(f(B,f(B,B)),A),f(f(A,C),f(A,f(A,A)))) -> f(A,f(A,A))
% collapsed.
% Current number of equations to process: 2030
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [355] f(f(f(B,A),A),f(B,A)) -> A
% Current number of equations to process: 2508
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [356] f(f(f(B,A),B),f(B,A)) -> B
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [357] f(f(f(B,f(B,B)),A),f(f(f(C,A),A),f(D,A))) -> f(c,f(c,c))
% Current number of equations to process: 3767
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [358] f(f(f(B,f(B,B)),A),f(f(f(A,C),A),f(D,A))) -> f(c,f(c,c))
% Current number of equations to process: 3766
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [359] f(f(f(B,f(B,B)),A),f(f(f(C,A),A),f(A,D))) -> f(c,f(c,c))
% Current number of equations to process: 3765
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [360] f(f(f(B,f(B,B)),A),f(f(f(A,C),A),f(A,D))) -> f(c,f(c,c))
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [361] f(B,f(f(c,f(c,c)),f(A,f(f(C,f(C,C)),B)))) -> f(c,f(c,c))
% Current number of equations to process: 3775
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [362] f(f(f(f(B,A),A),f(C,A)),f(f(D,f(D,D)),A)) -> f(B,f(B,B))
% Current number of equations to process: 3795
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [363] f(f(f(f(B,A),B),f(C,B)),f(f(D,f(D,D)),B)) -> f(B,f(B,B))
% Current number of equations to process: 3794
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [364] f(f(f(f(B,A),A),f(A,C)),f(f(D,f(D,D)),A)) -> f(B,f(B,B))
% Current number of equations to process: 3793
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [365] f(f(f(f(B,A),B),f(B,C)),f(f(D,f(D,D)),B)) -> f(B,f(B,B))
% Current number of equations to process: 3792
% Current number of ordered equations: 0
% Current number of rules: 237
% Rule [334] f(B,f(B,B)) <-> f(B,f(f(A,f(A,A)),f(C,f(B,f(D,f(D,D)))))) is composed into 
% [334] f(B,f(B,B)) <-> f(c,f(c,c))
% New rule produced :
% [366] f(B,f(f(A,f(A,A)),f(C,f(B,f(D,f(D,D)))))) -> f(c,f(c,c))
% Rule [332] f(B,f(f(A,f(A,A)),f(C,f(B,f(A,f(A,A)))))) -> f(A,f(A,A))
% collapsed.
% Rule [335] f(B,f(f(A,f(A,A)),f(C,f(B,f(D,f(D,D)))))) <-> f(B,f(B,B))
% collapsed.
% Current number of equations to process: 3825
% Current number of ordered equations: 0
% Current number of rules: 236
% Rule [336] f(B,f(B,B)) <-> f(B,f(f(A,f(A,A)),f(C,f(f(D,f(D,D)),B)))) is composed into 
% [336] f(B,f(B,B)) <-> f(c,f(c,c))
% New rule produced :
% [367] f(B,f(f(A,f(A,A)),f(C,f(f(D,f(D,D)),B)))) -> f(c,f(c,c))
% Rule [337] f(B,f(f(A,f(A,A)),f(C,f(f(D,f(D,D)),B)))) <-> f(B,f(B,B))
% collapsed.
% Rule [361] f(B,f(f(c,f(c,c)),f(A,f(f(C,f(C,C)),B)))) -> f(c,f(c,c))
% collapsed.
% Current number of equations to process: 3824
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [368] f(f(B,f(A,B)),B) -> f(A,B)
% Rule [53] f(B,f(f(f(B,f(A,B)),B),f(A,B))) -> f(A,B) collapsed.
% Rule [128] f(f(B,f(A,B)),f(f(A,B),f(f(B,f(A,B)),B))) -> f(f(B,f(A,B)),B)
% collapsed.
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [369] f(f(B,f(B,A)),B) -> f(B,A)
% Rule [41] f(B,f(f(f(B,f(B,A)),B),f(B,A))) -> f(B,A) collapsed.
% Rule [127] f(f(B,f(B,A)),f(f(B,A),f(f(B,f(B,A)),B))) -> f(f(B,f(B,A)),B)
% collapsed.
% Current number of equations to process: 4114
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced : [370] f(f(f(B,A),A),A) -> f(B,A)
% Current number of equations to process: 4114
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [371] f(B,f(f(B,A),B)) -> f(B,A)
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [372] f(f(B,A),f(B,f(B,A))) -> B
% Current number of equations to process: 4233
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [373] f(B,f(f(A,B),B)) -> f(A,B)
% Current number of equations to process: 4233
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced : [374] f(f(B,A),B) -> f(B,f(B,A))
% Rule [22] f(f(B,B),B) -> f(B,f(B,B)) collapsed.
% Rule [42] f(B,f(f(f(B,A),B),f(B,f(B,A)))) -> f(B,f(B,A)) collapsed.
% Rule [51] f(f(B,A),f(f(B,A),B)) -> B collapsed.
% Rule [57] f(f(B,A),f(f(f(f(B,A),B),f(C,B)),B)) -> B collapsed.
% Rule [60] f(f(B,A),f(f(f(f(B,A),B),f(B,C)),B)) -> B collapsed.
% Rule [61] f(f(B,A),f(f(B,f(B,A)),f(f(B,A),B))) -> f(f(B,A),B) collapsed.
% Rule [79] f(f(B,B),f(f(f(f(B,A),B),f(C,B)),f(f(B,B),D))) -> B collapsed.
% Rule [81] f(f(B,A),f(f(f(f(B,A),B),f(C,B)),f(f(B,B),D))) -> B collapsed.
% Rule [101] f(f(B,B),f(f(f(f(B,A),B),f(C,B)),f(D,f(B,B)))) -> B collapsed.
% Rule [103] f(f(B,A),f(f(f(f(B,A),B),f(C,B)),f(D,f(B,B)))) -> B collapsed.
% Rule [105] f(f(f(f(f(B,A),B),f(C,B)),f(f(B,B),D)),f(B,B)) -> B collapsed.
% Rule [108] f(f(B,B),f(f(f(f(B,A),B),f(B,C)),f(f(B,B),D))) -> B collapsed.
% Rule [109] f(f(B,A),f(f(f(f(B,A),B),f(B,C)),f(f(B,B),D))) -> B collapsed.
% Rule [116] f(f(f(f(f(B,A),B),f(C,B)),f(D,f(B,B))),f(B,B)) -> B collapsed.
% Rule [118] f(f(B,B),f(f(f(f(B,A),B),f(B,C)),f(D,f(B,B)))) -> B collapsed.
% Rule [119] f(f(B,A),f(f(f(f(B,A),B),f(B,C)),f(D,f(B,B)))) -> B collapsed.
% Rule [120] f(f(f(f(f(B,A),B),f(B,C)),f(f(B,B),D)),f(B,B)) -> B collapsed.
% Rule [121] f(f(f(f(B,A),B),f(C,B)),f(B,B)) -> f(f(B,B),f(f(f(B,A),B),f(C,B)))
% collapsed.
% Rule [124] f(f(f(f(f(B,A),B),f(B,C)),f(D,f(B,B))),f(B,B)) -> B collapsed.
% Rule [125] f(f(f(f(B,A),B),f(B,C)),f(B,B)) -> f(f(B,B),f(f(f(B,A),B),f(B,C)))
% collapsed.
% Rule [133] f(f(B,A),f(f(B,f(C,f(f(B,A),B))),f(f(B,A),B))) -> f(f(B,A),B)
% collapsed.
% Rule [149] f(f(B,f(A,f(A,A))),B) -> f(B,f(B,B)) collapsed.
% Rule [293] f(f(B,B),f(f(A,f(A,A)),f(f(f(B,C),B),f(D,B)))) -> B collapsed.
% Rule [295] f(f(B,A),f(f(C,f(C,C)),f(f(f(B,A),B),f(D,B)))) -> B collapsed.
% Rule [297] f(f(f(B,f(B,B)),f(f(f(A,C),A),f(D,A))),f(A,A)) -> A collapsed.
% Rule [299] f(f(B,B),f(f(A,f(A,A)),f(f(f(B,C),B),f(B,D)))) -> B collapsed.
% Rule [300] f(f(B,A),f(f(C,f(C,C)),f(f(f(B,A),B),f(B,D)))) -> B collapsed.
% Rule [301] f(f(f(B,f(B,B)),f(f(f(A,C),A),f(A,D))),f(A,A)) -> A collapsed.
% Rule [355] f(f(f(B,A),A),f(B,A)) -> A collapsed.
% Rule [356] f(f(f(B,A),B),f(B,A)) -> B collapsed.
% Rule [358] f(f(f(B,f(B,B)),A),f(f(f(A,C),A),f(D,A))) -> f(c,f(c,c))
% collapsed.
% Rule [360] f(f(f(B,f(B,B)),A),f(f(f(A,C),A),f(A,D))) -> f(c,f(c,c))
% collapsed.
% Rule [363] f(f(f(f(B,A),B),f(C,B)),f(f(D,f(D,D)),B)) -> f(B,f(B,B))
% collapsed.
% Rule [365] f(f(f(f(B,A),B),f(B,C)),f(f(D,f(D,D)),B)) -> f(B,f(B,B))
% collapsed.
% Rule [368] f(f(B,f(A,B)),B) -> f(A,B) collapsed.
% Rule [369] f(f(B,f(B,A)),B) -> f(B,A) collapsed.
% Rule [371] f(B,f(f(B,A),B)) -> f(B,A) collapsed.
% Current number of equations to process: 4264
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [375] f(f(B,f(B,A)),f(B,A)) -> B
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [376] f(f(B,A),f(f(f(B,f(B,A)),f(C,B)),B)) -> B
% Current number of equations to process: 4261
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [377] f(f(B,A),f(f(f(B,f(B,A)),f(B,C)),B)) -> B
% Current number of equations to process: 4260
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [378] f(f(f(B,A),A),f(f(f(B,A),f(C,A)),A)) -> A
% Current number of equations to process: 4259
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [379] f(f(B,f(B,A)),f(f(f(B,A),f(C,B)),B)) -> B
% Current number of equations to process: 4257
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [380] f(f(f(B,A),A),f(f(A,f(C,f(B,A))),f(B,A))) -> f(B,A)
% Current number of equations to process: 4256
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [381] f(f(f(B,A),A),f(f(A,f(f(B,A),C)),f(B,A))) -> f(B,A)
% Current number of equations to process: 4255
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [382] f(f(B,B),f(f(f(B,f(B,A)),f(C,B)),f(f(B,B),D))) -> B
% Current number of equations to process: 4253
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [383] f(f(B,A),f(f(f(B,f(B,A)),f(C,B)),f(f(B,B),D))) -> B
% Current number of equations to process: 4252
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [384] f(f(B,B),f(f(f(B,f(B,A)),f(C,B)),f(D,f(B,B)))) -> B
% Current number of equations to process: 4251
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [385] f(f(B,A),f(f(f(B,f(B,A)),f(C,B)),f(D,f(B,B)))) -> B
% Current number of equations to process: 4250
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [386] f(f(f(f(B,f(B,A)),f(C,B)),f(f(B,B),D)),f(B,B)) -> B
% Current number of equations to process: 4249
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [387] f(f(B,B),f(f(f(B,f(B,A)),f(B,C)),f(f(B,B),D))) -> B
% Current number of equations to process: 4248
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [388] f(f(B,A),f(f(f(B,f(B,A)),f(B,C)),f(f(B,B),D))) -> B
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [389] f(f(f(f(B,f(B,A)),f(C,B)),f(D,f(B,B))),f(B,B)) -> B
% Current number of equations to process: 4246
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [390] f(f(B,B),f(f(f(B,f(B,A)),f(B,C)),f(D,f(B,B)))) -> B
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [391] f(f(B,A),f(f(f(B,f(B,A)),f(B,C)),f(D,f(B,B)))) -> B
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [392] f(f(f(f(B,f(B,A)),f(B,C)),f(f(B,B),D)),f(B,B)) -> B
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [393] f(f(f(B,f(B,A)),f(C,B)),f(B,B)) -> f(f(B,B),f(f(B,f(B,A)),f(C,B)))
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [394] f(f(f(f(B,f(B,A)),f(B,C)),f(D,f(B,B))),f(B,B)) -> B
% Current number of equations to process: 4241
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [395] f(f(f(B,f(B,A)),f(B,C)),f(B,B)) -> f(f(B,B),f(f(B,f(B,A)),f(B,C)))
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [396] f(f(B,B),f(f(A,f(A,A)),f(f(B,f(B,C)),f(D,B)))) -> B
% Current number of equations to process: 4239
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [397] f(f(B,A),f(f(C,f(C,C)),f(f(B,f(B,A)),f(D,B)))) -> B
% Current number of equations to process: 4238
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [398] f(f(f(B,f(B,B)),f(f(A,f(A,C)),f(D,A))),f(A,A)) -> A
% Current number of equations to process: 4237
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [399] f(f(B,B),f(f(A,f(A,A)),f(f(B,f(B,C)),f(B,D)))) -> B
% Current number of equations to process: 4236
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [400] f(f(B,A),f(f(C,f(C,C)),f(f(B,f(B,A)),f(B,D)))) -> B
% Current number of equations to process: 4235
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [401] f(f(f(B,f(B,B)),f(f(A,f(A,C)),f(A,D))),f(A,A)) -> A
% Current number of equations to process: 4234
% Current number of ordered equations: 0
% Current number of rules: 228
% Rule [107] f(f(f(f(B,A),A),f(C,A)),f(A,A)) -> f(f(A,A),f(f(f(B,A),A),f(C,A))) is composed into 
% [107] f(f(f(f(B,A),A),f(C,A)),f(A,A)) -> f(c,f(c,c))
% New rule produced : [402] f(f(B,B),f(f(f(A,B),B),f(C,B))) -> f(c,f(c,c))
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [403] f(f(f(B,f(B,B)),A),f(f(A,f(A,C)),f(D,A))) -> f(c,f(c,c))
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [404] f(f(f(B,f(B,B)),A),f(f(A,f(A,C)),f(A,D))) -> f(c,f(c,c))
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [405] f(f(f(B,f(B,A)),f(C,B)),f(f(D,f(D,D)),B)) -> f(B,f(B,B))
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [406] f(f(f(B,f(B,A)),f(B,C)),f(f(D,f(D,D)),B)) -> f(B,f(B,B))
% Current number of equations to process: 4276
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [407] f(B,f(f(f(A,f(B,B)),f(B,B)),f(C,f(B,B)))) -> f(c,f(c,c))
% Current number of equations to process: 4275
% Current number of ordered equations: 0
% Current number of rules: 234
% Rule [122] f(f(f(f(B,A),A),f(A,C)),f(A,A)) -> f(f(A,A),f(f(f(B,A),A),f(A,C))) is composed into 
% [122] f(f(f(f(B,A),A),f(A,C)),f(A,A)) -> f(c,f(c,c))
% New rule produced : [408] f(f(B,B),f(f(f(A,B),B),f(B,C))) -> f(c,f(c,c))
% Current number of equations to process: 4347
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [409] f(f(B,f(A,f(A,A))),f(f(f(C,B),B),f(D,B))) -> f(c,f(c,c))
% Current number of equations to process: 4369
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [410] f(B,f(f(f(A,f(B,B)),f(B,B)),f(f(B,B),C))) -> f(c,f(c,c))
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [411] f(f(B,f(A,f(A,A))),f(f(f(C,B),B),f(B,D))) -> f(c,f(c,c))
% Current number of equations to process: 4478
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [412] f(f(f(f(B,f(A,A)),f(A,A)),f(C,f(A,A))),A) -> f(B,f(B,B))
% Current number of equations to process: 4477
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [413] f(f(f(f(B,A),A),f(C,A)),f(A,f(D,f(D,D)))) -> f(B,f(B,B))
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [414] f(f(f(f(B,f(A,A)),f(A,A)),f(f(A,A),C)),A) -> f(B,f(B,B))
% Current number of equations to process: 4576
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [415] f(f(f(f(B,A),A),f(A,C)),f(A,f(D,f(D,D)))) -> f(B,f(B,B))
% Current number of equations to process: 4637
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [416] f(f(B,f(A,B)),f(A,B)) -> B
% Current number of equations to process: 4649
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [417] f(f(A,B),B) -> f(B,f(A,B))
% Rule [1] f(f(B,A),f(f(f(f(B,A),A),f(C,A)),f(f(A,A),D))) -> A collapsed.
% Rule [2] f(f(B,A),f(f(f(f(B,A),A),f(C,A)),A)) -> A collapsed.
% Rule [17] f(f(B,A),f(f(B,A),A)) -> A collapsed.
% Rule [43] f(f(B,A),f(f(A,f(B,A)),f(f(B,A),A))) -> f(f(B,A),A) collapsed.
% Rule [44] f(f(B,B),f(f(f(f(A,B),B),f(C,B)),f(f(B,B),D))) -> B collapsed.
% Rule [56] f(B,f(f(f(A,B),B),f(B,f(A,B)))) -> f(B,f(A,B)) collapsed.
% Rule [58] f(f(B,A),f(f(f(f(B,A),A),f(A,C)),A)) -> A collapsed.
% Rule [76] f(f(B,B),f(f(f(f(A,B),B),f(C,B)),f(D,f(B,B)))) -> B collapsed.
% Rule [77] f(f(B,A),f(f(f(f(B,A),A),f(C,A)),f(D,f(A,A)))) -> A collapsed.
% Rule [78] f(f(f(f(f(B,A),A),f(C,A)),f(f(A,A),D)),f(A,A)) -> A collapsed.
% Rule [80] f(f(B,B),f(f(f(f(A,B),B),f(B,C)),f(f(B,B),D))) -> B collapsed.
% Rule [82] f(f(B,A),f(f(f(f(B,A),A),f(A,C)),f(f(A,A),D))) -> A collapsed.
% Rule [100] f(f(f(f(f(B,A),A),f(C,A)),f(D,f(A,A))),f(A,A)) -> A collapsed.
% Rule [102] f(f(B,B),f(f(f(f(A,B),B),f(B,C)),f(D,f(B,B)))) -> B collapsed.
% Rule [104] f(f(B,A),f(f(f(f(B,A),A),f(A,C)),f(D,f(A,A)))) -> A collapsed.
% Rule [106] f(f(f(f(f(B,A),A),f(A,C)),f(f(A,A),D)),f(A,A)) -> A collapsed.
% Rule [107] f(f(f(f(B,A),A),f(C,A)),f(A,A)) -> f(c,f(c,c)) collapsed.
% Rule [117] f(f(f(f(f(B,A),A),f(A,C)),f(D,f(A,A))),f(A,A)) -> A collapsed.
% Rule [122] f(f(f(f(B,A),A),f(A,C)),f(A,A)) -> f(c,f(c,c)) collapsed.
% Rule [130] f(f(B,A),f(f(A,f(C,f(f(B,A),A))),f(f(B,A),A))) -> f(f(B,A),A)
% collapsed.
% Rule [166] f(f(f(B,f(B,B)),A),A) -> f(B,f(B,B)) collapsed.
% Rule [290] f(f(B,B),f(f(A,f(A,A)),f(f(f(C,B),B),f(D,B)))) -> B collapsed.
% Rule [291] f(f(B,A),f(f(C,f(C,C)),f(f(f(B,A),A),f(D,A)))) -> A collapsed.
% Rule [292] f(f(f(B,f(B,B)),f(f(f(A,C),C),f(D,C))),f(C,C)) -> C collapsed.
% Rule [294] f(f(B,B),f(f(A,f(A,A)),f(f(f(C,B),B),f(B,D)))) -> B collapsed.
% Rule [296] f(f(B,A),f(f(C,f(C,C)),f(f(f(B,A),A),f(A,D)))) -> A collapsed.
% Rule [298] f(f(f(B,f(B,B)),f(f(f(A,C),C),f(C,D))),f(C,C)) -> C collapsed.
% Rule [357] f(f(f(B,f(B,B)),A),f(f(f(C,A),A),f(D,A))) -> f(c,f(c,c))
% collapsed.
% Rule [359] f(f(f(B,f(B,B)),A),f(f(f(C,A),A),f(A,D))) -> f(c,f(c,c))
% collapsed.
% Rule [362] f(f(f(f(B,A),A),f(C,A)),f(f(D,f(D,D)),A)) -> f(B,f(B,B))
% collapsed.
% Rule [364] f(f(f(f(B,A),A),f(A,C)),f(f(D,f(D,D)),A)) -> f(B,f(B,B))
% collapsed.
% Rule [370] f(f(f(B,A),A),A) -> f(B,A) collapsed.
% Rule [373] f(B,f(f(A,B),B)) -> f(A,B) collapsed.
% Rule [375] f(f(B,f(B,A)),f(B,A)) -> B collapsed.
% Rule [378] f(f(f(B,A),A),f(f(f(B,A),f(C,A)),A)) -> A collapsed.
% Rule [380] f(f(f(B,A),A),f(f(A,f(C,f(B,A))),f(B,A))) -> f(B,A) collapsed.
% Rule [381] f(f(f(B,A),A),f(f(A,f(f(B,A),C)),f(B,A))) -> f(B,A) collapsed.
% Rule [402] f(f(B,B),f(f(f(A,B),B),f(C,B))) -> f(c,f(c,c)) collapsed.
% Rule [407] f(B,f(f(f(A,f(B,B)),f(B,B)),f(C,f(B,B)))) -> f(c,f(c,c))
% collapsed.
% Rule [408] f(f(B,B),f(f(f(A,B),B),f(B,C))) -> f(c,f(c,c)) collapsed.
% Rule [409] f(f(B,f(A,f(A,A))),f(f(f(C,B),B),f(D,B))) -> f(c,f(c,c))
% collapsed.
% Rule [410] f(B,f(f(f(A,f(B,B)),f(B,B)),f(f(B,B),C))) -> f(c,f(c,c))
% collapsed.
% Rule [411] f(f(B,f(A,f(A,A))),f(f(f(C,B),B),f(B,D))) -> f(c,f(c,c))
% collapsed.
% Rule [412] f(f(f(f(B,f(A,A)),f(A,A)),f(C,f(A,A))),A) -> f(B,f(B,B))
% collapsed.
% Rule [413] f(f(f(f(B,A),A),f(C,A)),f(A,f(D,f(D,D)))) -> f(B,f(B,B))
% collapsed.
% Rule [414] f(f(f(f(B,f(A,A)),f(A,A)),f(f(A,A),C)),A) -> f(B,f(B,B))
% collapsed.
% Rule [415] f(f(f(f(B,A),A),f(A,C)),f(A,f(D,f(D,D)))) -> f(B,f(B,B))
% collapsed.
% Rule [416] f(f(B,f(A,B)),f(A,B)) -> B collapsed.
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [418] f(f(B,A),f(f(f(A,f(B,A)),f(C,A)),f(f(A,A),D))) -> A
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [419] f(f(B,A),f(A,f(B,A))) -> A
% Current number of equations to process: 4691
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [420] f(f(B,A),f(f(f(A,f(B,A)),f(C,A)),A)) -> A
% Current number of equations to process: 4696
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [421] f(f(B,A),f(f(f(A,f(B,A)),f(A,C)),A)) -> A
% Current number of equations to process: 4695
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [422] f(f(f(A,f(B,A)),f(C,A)),f(A,A)) -> f(c,f(c,c))
% Current number of equations to process: 4694
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [423] f(f(f(A,f(B,A)),f(A,C)),f(A,A)) -> f(c,f(c,c))
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [424] f(f(A,f(B,A)),f(f(f(B,A),f(C,A)),A)) -> A
% Current number of equations to process: 4773
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [425] f(f(B,B),f(f(B,f(A,B)),f(C,B))) -> f(c,f(c,c))
% Current number of equations to process: 4772
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [426] f(f(B,B),f(f(B,f(A,B)),f(B,C))) -> f(c,f(c,c))
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [427] f(f(A,f(B,A)),f(f(f(B,A),f(A,C)),A)) -> A
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [428] f(f(B,f(B,A)),f(f(f(B,A),f(B,C)),B)) -> B
% Current number of equations to process: 4769
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [429] f(f(B,B),f(f(f(A,B),f(C,B)),f(f(B,B),D))) -> B
% Rule [201] f(f(B,B),f(f(f(A,B),f(A,B)),f(f(B,B),C))) -> B collapsed.
% Current number of equations to process: 4782
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [430] f(f(A,f(B,A)),f(f(A,f(C,f(B,A))),f(B,A))) -> f(B,A)
% Current number of equations to process: 4992
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [431] f(f(A,f(B,A)),f(f(A,f(f(B,A),C)),f(B,A))) -> f(B,A)
% Current number of equations to process: 4991
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [432] f(f(B,f(B,A)),f(f(B,f(C,f(B,A))),f(B,A))) -> f(B,A)
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [433] f(f(B,f(B,A)),f(f(B,f(f(B,A),C)),f(B,A))) -> f(B,A)
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [434] f(f(B,B),f(f(f(B,f(A,B)),f(C,B)),f(f(B,B),D))) -> B
% Current number of equations to process: 4982
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [435] f(f(B,B),f(f(f(B,f(A,B)),f(C,B)),f(D,f(B,B)))) -> B
% Current number of equations to process: 4981
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [436] f(f(B,A),f(f(f(A,f(B,A)),f(C,A)),f(D,f(A,A)))) -> A
% Current number of equations to process: 4980
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [437] f(f(f(f(A,f(B,A)),f(C,A)),f(f(A,A),D)),f(A,A)) -> A
% Current number of equations to process: 4979
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [438] f(f(B,B),f(f(f(B,f(A,B)),f(B,C)),f(f(B,B),D))) -> B
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [439] f(f(B,A),f(f(f(A,f(B,A)),f(A,C)),f(f(A,A),D))) -> A
% Current number of equations to process: 4977
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [440] f(f(f(f(A,f(B,A)),f(C,A)),f(D,f(A,A))),f(A,A)) -> A
% Current number of equations to process: 4976
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [441] f(f(B,B),f(f(f(B,f(A,B)),f(B,C)),f(D,f(B,B)))) -> B
% Current number of equations to process: 4975
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [442] f(f(B,A),f(f(f(A,f(B,A)),f(A,C)),f(D,f(A,A)))) -> A
% Current number of equations to process: 4974
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [443] f(f(f(f(A,f(B,A)),f(A,C)),f(f(A,A),D)),f(A,A)) -> A
% Current number of equations to process: 4973
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [444] f(f(f(f(A,f(B,A)),f(A,C)),f(D,f(A,A))),f(A,A)) -> A
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [445] f(f(B,B),f(f(A,f(A,A)),f(f(B,f(C,B)),f(D,B)))) -> B
% Current number of equations to process: 4971
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [446] f(f(B,A),f(f(C,f(C,C)),f(f(A,f(B,A)),f(D,A)))) -> A
% Current number of equations to process: 4970
% Current number of ordered equations: 0
% Current number of rulCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------