%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT070-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n071.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 00:26:12 EDT 2014

% Result   : Timeout 300.07s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT070-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n071.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 19:28:58 CDT 2014
% % CPUTime  : 300.07 
% Processing problem /tmp/CiME_30102_n071.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant;  f : 2;";
% let X = vars "B A C D";
% let Axioms = equations F X "
% f(f(f(f(B,A),f(A,C)),D),f(A,f(f(A,f(f(B,B),B)),C))) = 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(f(f(B,A),f(A,C)),D),f(A,f(f(A,f(f(B,B),B)),C)))
% = 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(f(f(B,A),f(A,C)),D),f(A,f(f(A,f(f(B,B),B)),C))) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2] f(B,f(f(B,A),f(f(f(B,A),f(f(f(C,B),f(C,B)),f(C,B))),D))) -> f(B,A)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced : [3] f(B,f(f(B,A),f(f(f(C,B),f(C,B)),f(C,B)))) -> f(B,A)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced : [4] f(f(B,A),f(f(f(B,A),f(A,C)),A)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] f(f(f(f(B,A),f(A,C)),A),f(A,A)) -> A
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] f(f(B,B),f(B,B)) -> B
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] f(f(B,A),f(B,f(f(B,f(f(B,B),B)),B))) -> B
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] f(B,f(f(B,A),f(B,f(B,B)))) -> f(B,A)
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] f(f(f(B,f(f(B,B),A)),f(B,B)),B) -> f(B,B)
% Current number of equations to process: 57
% Current number of ordered equations: 1
% Current number of rules: 9
% New rule produced : [10] f(f(f(f(B,f(A,A)),A),f(A,A)),A) -> f(A,A)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] f(B,f(f(B,f(f(B,B),A)),f(B,B))) -> f(B,f(f(B,B),A))
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] f(f(B,B),f(f(f(B,B),A),f(f(B,B),B))) -> f(f(B,B),A)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] f(f(B,A),f(A,f(f(A,f(f(B,B),B)),C))) -> A
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] f(B,f(f(B,A),f(f(f(B,A),f(B,f(B,B))),C))) -> f(B,A)
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] f(f(f(f(B,f(A,A)),f(f(A,A),C)),f(A,A)),A) -> f(A,A)
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] f(B,f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] f(B,f(f(B,f(f(B,B),B)),B)) -> f(B,B)
% Rule [7] f(f(B,A),f(B,f(f(B,f(f(B,B),B)),B))) -> B collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [18] f(f(B,A),f(B,B)) -> B
% Rule [6] f(f(B,B),f(B,B)) -> B collapsed.
% Rule [9] f(f(f(B,f(f(B,B),A)),f(B,B)),B) -> f(B,B) collapsed.
% Rule [11] f(B,f(f(B,f(f(B,B),A)),f(B,B))) -> f(B,f(f(B,B),A)) collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [19] f(B,f(f(B,B),A)) -> f(B,B)
% Rule [17] f(B,f(f(B,f(f(B,B),B)),B)) -> f(B,B) collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [20] f(f(B,f(A,A)),f(f(f(B,f(A,A)),A),f(A,A))) -> f(f(B,f(A,A)),A)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [21] f(f(B,f(A,C)),f(f(f(B,f(A,C)),A),f(A,C))) -> f(f(B,f(A,C)),A)
% Rule [20] f(f(B,f(A,A)),f(f(f(B,f(A,A)),A),f(A,A))) -> f(f(B,f(A,A)),A)
% collapsed.
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [22] f(f(f(f(B,f(A,C)),A),f(A,C)),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [23] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),A))) -> B
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [24] f(f(B,A),f(A,f(f(B,B),B))) -> A
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [25] f(f(B,A),f(A,A)) -> A
% Rule [5] f(f(f(f(B,A),f(A,C)),A),f(A,A)) -> A collapsed.
% Rule [10] f(f(f(f(B,f(A,A)),A),f(A,A)),A) -> f(A,A) collapsed.
% Rule [22] f(f(f(f(B,f(A,C)),A),f(A,C)),f(f(A,C),f(A,C))) -> f(A,C) collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [26] f(f(B,A),f(A,f(f(B,A),f(f(B,A),f(B,A))))) -> A
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [27] f(f(B,f(A,C)),f(f(f(B,f(A,C)),C),f(A,C))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [28] f(f(f(f(B,A),f(A,C)),D),f(A,A)) -> A
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [29] f(f(f(B,B),A),B) -> f(B,B)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [30] f(B,f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [31] f(f(B,B),f(B,A)) -> B
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [32] f(f(B,A),f(B,f(f(B,A),f(f(B,A),f(B,A))))) -> B
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [33] f(f(f(B,B),A),f(A,f(f(A,f(B,f(B,B))),C))) -> A
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [34] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),f(f(B,B),D)))) -> B
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [35] f(f(f(B,A),f(A,C)),f(f(B,A),f(A,C))) -> f(f(f(B,A),f(A,C)),A)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [36] f(f(f(f(B,A),f(A,f(A,f(A,A)))),C),f(A,f(f(B,B),B))) -> A
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [37] f(f(B,A),f(A,f(f(A,f(f(B,A),f(f(B,A),f(B,A)))),C))) -> A
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [38] f(f(B,A),f(B,f(f(B,f(f(B,A),f(f(B,A),f(B,A)))),C))) -> B
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [39] f(f(B,A),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [40] f(f(f(B,A),f(B,A)),B) -> f(B,A)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [41] f(f(B,f(B,f(B,B))),f(B,f(f(A,A),A))) -> B
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [42] f(f(B,f(B,f(f(A,A),A))),f(B,f(f(A,A),A))) -> B
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [43] f(f(B,A),f(B,f(f(B,f(C,f(C,C))),A))) -> B
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [44] f(f(f(B,B),A),f(A,f(B,f(B,B)))) -> A
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [45] f(f(B,f(A,A)),A) -> f(A,A)
% Rule [15] f(f(f(f(B,f(A,A)),f(f(A,A),C)),f(A,A)),A) -> f(A,A) collapsed.
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [46] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),B))) -> B
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [47] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),f(f(C,C),C)))) -> B
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [48] f(f(f(B,B),f(f(B,B),B)),f(f(B,B),f(f(A,A),A))) -> f(B,B)
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [49] f(B,f(f(B,A),f(f(f(B,A),f(f(C,C),C)),f(B,B)))) -> f(B,A)
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [50] f(B,f(f(A,B),f(f(f(A,B),f(f(C,C),C)),f(B,B)))) -> f(A,B)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [51] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),f(f(B,A),f(B,A))))) -> B
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [52] f(f(B,f(f(f(A,B),f(A,B)),f(A,B))),f(B,f(f(C,C),C))) -> B
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [53] f(f(B,f(f(f(A,A),A),f(f(B,B),B))),f(B,f(f(A,A),A))) -> B
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [54] f(f(B,f(f(f(A,A),A),f(f(A,A),A))),f(B,f(f(A,A),A))) -> B
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [55] f(f(B,f(A,f(B,B))),f(B,f(A,f(B,B)))) -> B
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [56] f(f(f(f(B,f(A,A)),f(f(A,A),C)),D),A) -> f(A,A)
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [57] f(f(f(B,A),f(B,A)),A) -> f(B,A)
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [58] f(B,f(A,f(B,B))) -> f(B,B)
% Rule [36] f(f(f(f(B,A),f(A,f(A,f(A,A)))),C),f(A,f(f(B,B),B))) -> A collapsed.
% Rule [41] f(f(B,f(B,f(B,B))),f(B,f(f(A,A),A))) -> B collapsed.
% Rule [55] f(f(B,f(A,f(B,B))),f(B,f(A,f(B,B)))) -> B collapsed.
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [59] f(B,f(f(A,B),f(B,f(B,B)))) -> f(A,B)
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [60] f(f(f(B,B),f(A,B)),f(f(B,B),f(A,B))) -> f(B,B)
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [61] f(f(A,C),f(A,f(f(B,B),B))) -> A
% Rule [42] f(f(B,f(B,f(f(A,A),A))),f(B,f(f(A,A),A))) -> B collapsed.
% Rule [48] f(f(f(B,B),f(f(B,B),B)),f(f(B,B),f(f(A,A),A))) -> f(B,B) collapsed.
% Rule [52] f(f(B,f(f(f(A,B),f(A,B)),f(A,B))),f(B,f(f(C,C),C))) -> B collapsed.
% Rule [53] f(f(B,f(f(f(A,A),A),f(f(B,B),B))),f(B,f(f(A,A),A))) -> B collapsed.
% Rule [54] f(f(B,f(f(f(A,A),A),f(f(A,A),A))),f(B,f(f(A,A),A))) -> B collapsed.
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [62] f(f(B,f(f(A,C),f(C,D))),f(C,C)) -> C
% Current number of equations to process: 294
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [63] f(f(f(f(B,A),f(C,A)),D),f(A,A)) -> A
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [64] f(f(B,A),f(A,f(C,f(A,f(f(B,B),B))))) -> A
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [65] f(f(B,B),f(A,B)) -> B
% Rule [60] f(f(f(B,B),f(A,B)),f(f(B,B),f(A,B))) -> f(B,B) collapsed.
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [66] f(B,f(f(B,f(f(B,A),C)),f(B,A))) -> f(B,f(f(B,A),C))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [67] f(f(B,B),f(f(A,f(B,B)),f(f(B,B),B))) -> f(A,f(B,B))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [68] f(f(B,A),f(f(f(B,A),C),f(f(B,B),B))) -> f(f(B,A),C)
% Rule [12] f(f(B,B),f(f(f(B,B),A),f(f(B,B),B))) -> f(f(B,B),A) collapsed.
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [69] f(f(f(f(B,f(A,C)),C),D),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [70] f(f(f(f(B,f(A,C)),A),D),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [71] f(B,f(f(A,B),f(f(f(C,B),f(C,B)),f(C,B)))) -> f(A,B)
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [72] f(B,f(f(B,A),f(C,f(f(B,A),f(B,f(B,B)))))) -> f(B,A)
% Current number of equations to process: 291
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced : [73] f(B,f(f(A,B),f(f(f(A,B),f(B,f(B,B))),C))) -> f(A,B)
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [74] f(f(f(B,f(f(B,A),C)),D),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [75] f(f(f(B,B),A),f(A,f(C,f(A,f(B,f(B,B)))))) -> A
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [76] f(f(B,f(f(B,f(f(A,A),A)),f(f(B,B),C))),f(B,D)) -> B
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [77] f(B,f(f(B,f(f(B,f(f(A,A),A)),f(f(B,B),C))),D)) -> f(B,B)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [78] f(f(B,f(f(A,C),f(C,D))),f(C,f(f(C,f(f(A,A),A)),D))) -> C
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [79] f(f(B,A),f(A,f(f(A,f(f(C,C),C)),f(f(B,A),f(B,A))))) -> A
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [80] f(B,f(f(f(f(A,B),f(B,C)),D),f(B,f(B,B)))) -> f(f(f(A,B),f(B,C)),D)
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [81] f(B,f(f(B,f(f(A,A),A)),f(f(B,B),C))) -> f(B,B)
% Rule [34] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),f(f(B,B),D)))) -> B collapsed.
% Rule [76] f(f(B,f(f(B,f(f(A,A),A)),f(f(B,B),C))),f(B,D)) -> B collapsed.
% Rule [77] f(B,f(f(B,f(f(B,f(f(A,A),A)),f(f(B,B),C))),D)) -> f(B,B) collapsed.
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [82] f(f(B,A),f(f(f(C,B),f(B,A)),B)) -> f(f(C,B),f(B,A))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [83] f(f(f(B,A),f(C,A)),f(f(B,A),f(C,A))) -> f(f(f(B,A),f(C,A)),A)
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [84] f(f(f(B,f(A,C)),C),f(f(B,f(A,C)),C)) -> f(f(f(B,f(A,C)),C),f(A,C))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [85] f(f(f(B,f(A,C)),A),f(f(B,f(A,C)),A)) -> f(f(f(B,f(A,C)),A),f(A,C))
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [86] f(f(B,f(f(B,A),C)),f(B,f(f(B,A),C))) -> f(f(B,f(f(B,A),C)),f(B,A))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [87] f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),C)) -> f(f(A,C),f(C,D))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [88] f(f(f(B,B),A),f(f(f(f(B,B),A),C),f(B,f(B,B)))) -> f(f(f(B,B),A),C)
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [89] f(f(f(f(B,A),f(A,C)),D),f(f(f(B,A),f(A,C)),A)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 356
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced : [90] f(f(f(f(B,A),f(A,C)),A),f(A,C)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [91] f(f(f(f(B,A),f(A,C)),A),f(f(f(B,A),f(A,C)),D)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [92] f(f(B,A),f(A,f(C,f(A,f(f(B,A),f(f(B,A),f(B,A))))))) -> A
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [93] f(B,f(A,f(B,f(f(C,C),C)))) -> f(B,B)
% Rule [64] f(f(B,A),f(A,f(C,f(A,f(f(B,B),B))))) -> A collapsed.
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [94] f(f(f(f(B,A),f(C,A)),A),f(C,A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [95] f(B,f(f(B,f(A,f(B,C))),f(B,C))) -> f(B,f(A,f(B,C)))
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [96] f(f(B,B),f(f(f(A,B),f(B,C)),D)) -> B
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [97] f(f(B,A),f(f(f(B,A),f(B,C)),B)) -> f(f(B,A),f(B,C))
% Current number of equations to process: 398
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced : [98] f(f(f(f(B,A),f(A,C)),A),f(B,A)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [99] f(f(f(f(B,A),f(B,C)),D),f(B,B)) -> B
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [100] f(f(B,A),f(f(f(B,A),f(C,B)),B)) -> f(f(B,A),f(C,B))
% Current number of equations to process: 409
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced : [101] f(f(f(f(B,A),f(C,A)),A),f(B,A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [102] f(f(f(B,A),A),f(f(B,A),f(A,f(A,A)))) -> f(B,A)
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [103] f(B,f(f(B,A),f(f(f(B,C),f(B,C)),f(B,C)))) -> f(B,A)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [104] f(f(f(B,A),f(B,C)),f(f(B,A),f(B,C))) -> f(f(f(B,A),f(B,C)),B)
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [105] f(f(B,f(B,f(A,f(A,A)))),f(B,f(A,f(A,A)))) -> B
% Current number of equations to process: 437
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [106] f(f(B,f(f(B,f(f(A,A),A)),B)),f(B,C)) -> B
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [107] f(B,f(f(B,f(f(A,A),A)),B)) -> f(B,B)
% Rule [46] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),B))) -> B collapsed.
% Rule [106] f(f(B,f(f(B,f(f(A,A),A)),B)),f(B,C)) -> B collapsed.
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [108] f(f(B,f(f(B,f(f(A,A),A)),f(f(A,A),A))),f(B,C)) -> B
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [109] f(B,f(f(B,f(f(A,A),A)),f(f(A,A),A))) -> f(B,B)
% Rule [47] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),f(f(C,C),C)))) -> B collapsed.
% Rule [108] f(f(B,f(f(B,f(f(A,A),A)),f(f(A,A),A))),f(B,C)) -> B collapsed.
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [110] f(B,f(f(B,f(B,B)),f(f(B,B),B))) -> f(B,f(B,B))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [111] f(f(f(f(B,f(A,C)),A),f(A,C)),f(B,f(A,C))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 484
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [112] f(f(f(B,A),C),f(f(f(f(B,A),C),B),f(B,A))) -> f(f(f(B,A),C),B)
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [113] f(f(f(f(B,f(A,C)),C),f(A,C)),f(B,f(A,C))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 482
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [114] f(f(f(B,A),C),f(f(f(f(B,A),C),A),f(B,A))) -> f(f(f(B,A),C),A)
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [115] f(B,f(f(B,A),f(f(f(B,A),f(C,f(C,C))),f(B,B)))) -> f(B,A)
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [116] f(B,f(f(A,B),f(f(f(A,B),f(C,f(C,C))),f(B,B)))) -> f(A,B)
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [117] f(f(B,A),f(B,f(C,f(B,f(f(B,A),f(f(B,A),f(B,A))))))) -> B
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [118] f(f(B,f(f(f(A,B),f(A,B)),f(A,B))),f(B,f(C,f(C,C)))) -> B
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [119] f(f(B,A),f(B,f(f(B,f(C,f(C,C))),f(f(B,A),f(B,A))))) -> B
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [120] f(f(B,f(f(A,f(A,A)),f(f(B,B),B))),f(B,f(A,f(A,A)))) -> B
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [121] f(f(B,f(f(A,f(A,A)),f(A,f(A,A)))),f(B,f(A,f(A,A)))) -> B
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [122] f(f(B,A),f(A,f(f(A,f(C,f(C,C))),f(f(B,A),f(B,A))))) -> A
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [123] f(f(B,A),f(f(f(B,A),f(f(C,C),C)),f(B,B))) -> f(f(B,A),f(B,A))
% Rule [49] f(B,f(f(B,A),f(f(f(B,A),f(f(C,C),C)),f(B,B)))) -> f(B,A) collapsed.
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [124] f(f(B,A),f(f(f(B,A),f(f(C,C),C)),f(A,A))) -> f(f(B,A),f(B,A))
% Rule [50] f(B,f(f(A,B),f(f(f(A,B),f(f(C,C),C)),f(B,B)))) -> f(A,B) collapsed.
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [125] f(f(f(B,B),B),f(f(f(f(B,B),B),A),f(f(B,B),B))) -> f(f(f(B,B),B),A)
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [126] f(f(f(B,B),B),f(f(A,f(f(B,B),B)),f(f(B,B),B))) -> f(A,f(f(B,B),B))
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [127] f(B,f(f(B,f(f(A,A),A)),f(f(B,C),f(B,C)))) -> f(B,B)
% Rule [51] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),f(f(B,A),f(B,A))))) -> B collapsed.
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [128] f(f(B,f(f(A,f(C,C)),f(f(C,C),D))),C) -> f(C,C)
% Current number of equations to process: 527
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced : [129] f(f(f(f(B,f(A,A)),f(C,f(A,A))),D),A) -> f(A,A)
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [130] f(B,f(f(f(A,f(B,B)),f(f(B,B),C)),D)) -> f(B,B)
% Current number of equations to process: 538
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced : [131] f(f(f(f(f(B,B),A),f(f(B,B),C)),D),B) -> f(B,B)
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [132] f(f(f(f(B,f(A,C)),A),f(A,C)),A) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [133] f(f(f(f(B,f(A,C)),C),f(A,C)),C) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [134] f(f(B,B),f(f(f(B,B),A),f(A,f(B,B)))) -> f(f(B,B),A)
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [135] f(f(B,f(f(A,A),A)),f(B,C)) -> B
% Rule [118] f(f(B,f(f(f(A,B),f(A,B)),f(A,B))),f(B,f(C,f(C,C)))) -> B
% collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [136] f(B,f(f(B,f(f(A,A),A)),C)) -> f(B,B)
% Rule [1] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(A,f(f(B,B),B)),C))) -> A collapsed.
% Rule [2] f(B,f(f(B,A),f(f(f(B,A),f(f(f(C,B),f(C,B)),f(C,B))),D))) -> f(B,A)
% collapsed.
% Rule [13] f(f(B,A),f(A,f(f(A,f(f(B,B),B)),C))) -> A collapsed.
% Rule [23] f(f(B,A),f(B,f(f(B,f(f(C,C),C)),A))) -> B collapsed.
% Rule [78] f(f(B,f(f(A,C),f(C,D))),f(C,f(f(C,f(f(A,A),A)),D))) -> C collapsed.
% Rule [79] f(f(B,A),f(A,f(f(A,f(f(C,C),C)),f(f(B,A),f(B,A))))) -> A collapsed.
% Rule [81] f(B,f(f(B,f(f(A,A),A)),f(f(B,B),C))) -> f(B,B) collapsed.
% Rule [107] f(B,f(f(B,f(f(A,A),A)),B)) -> f(B,B) collapsed.
% Rule [109] f(B,f(f(B,f(f(A,A),A)),f(f(A,A),A))) -> f(B,B) collapsed.
% Rule [123] f(f(B,A),f(f(f(B,A),f(f(C,C),C)),f(B,B))) -> f(f(B,A),f(B,A))
% collapsed.
% Rule [124] f(f(B,A),f(f(f(B,A),f(f(C,C),C)),f(A,A))) -> f(f(B,A),f(B,A))
% collapsed.
% Rule [127] f(B,f(f(B,f(f(A,A),A)),f(f(B,C),f(B,C)))) -> f(B,B) collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [137] f(B,B) <-> f(B,f(f(A,A),A))
% Current number of equations to process: 570
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced : [138] f(B,f(f(A,A),A)) <-> f(B,B)
% Rule [110] f(B,f(f(B,f(B,B)),f(f(B,B),B))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [139] f(f(B,A),f(B,f(C,f(C,C)))) -> B
% Rule [32] f(f(B,A),f(B,f(f(B,A),f(f(B,A),f(B,A))))) -> B collapsed.
% Rule [102] f(f(f(B,A),A),f(f(B,A),f(A,f(A,A)))) -> f(B,A) collapsed.
% Rule [105] f(f(B,f(B,f(A,f(A,A)))),f(B,f(A,f(A,A)))) -> B collapsed.
% Rule [120] f(f(B,f(f(A,f(A,A)),f(f(B,B),B))),f(B,f(A,f(A,A)))) -> B
% collapsed.
% Rule [121] f(f(B,f(f(A,f(A,A)),f(A,f(A,A)))),f(B,f(A,f(A,A)))) -> B
% collapsed.
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [140] f(B,f(f(B,A),f(f(C,C),C))) -> f(B,A)
% Rule [3] f(B,f(f(B,A),f(f(f(C,B),f(C,B)),f(C,B)))) -> f(B,A) collapsed.
% Rule [68] f(f(B,A),f(f(f(B,A),C),f(f(B,B),B))) -> f(f(B,A),C) collapsed.
% Rule [103] f(B,f(f(B,A),f(f(f(B,C),f(B,C)),f(B,C)))) -> f(B,A) collapsed.
% Rule [125] f(f(f(B,B),B),f(f(f(f(B,B),B),A),f(f(B,B),B))) -> f(f(f(B,B),B),A)
% collapsed.
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [141] f(B,f(f(A,B),f(f(C,C),C))) -> f(A,B)
% Rule [67] f(f(B,B),f(f(A,f(B,B)),f(f(B,B),B))) -> f(A,f(B,B)) collapsed.
% Rule [71] f(B,f(f(A,B),f(f(f(C,B),f(C,B)),f(C,B)))) -> f(A,B) collapsed.
% Rule [126] f(f(f(B,B),B),f(f(A,f(f(B,B),B)),f(f(B,B),B))) -> f(A,f(f(B,B),B))
% collapsed.
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [142] f(f(f(B,f(f(A,A),A)),C),B) -> f(B,f(f(A,A),A))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [143] f(f(B,f(A,f(f(C,C),C))),A) -> f(A,f(f(C,C),C))
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [144] f(A,f(f(B,B),B)) <-> f(f(f(B,B),B),A)
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced : [145] f(f(f(B,B),B),A) <-> f(A,f(f(B,B),B))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [146] f(f(B,A),f(A,f(f(C,C),C))) -> A
% Rule [24] f(f(B,A),f(A,f(f(B,B),B))) -> A collapsed.
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [147] f(f(f(B,f(A,A)),f(f(A,A),A)),f(A,A)) -> f(B,f(A,A))
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [148] f(f(B,A),f(A,f(f(B,f(f(C,C),C)),B))) -> A
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [149] f(f(B,f(f(A,A),A)),f(C,B)) -> B
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [150] f(f(B,A),f(B,f(C,f(C,f(f(D,D),D))))) -> B
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [151] f(f(B,B),f(A,f(f(C,B),f(B,D)))) -> B
% Current number of equations to process: 592
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced : [152] f(f(B,f(f(A,C),f(A,D))),f(A,A)) -> A
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [153] f(f(B,f(f(A,C),f(D,C))),f(C,C)) -> C
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [154] f(f(B,B),f(f(f(A,B),f(C,B)),D)) -> B
% Current number of equations to process: 632
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced : [155] f(f(f(f(B,A),f(C,B)),D),f(B,B)) -> B
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [156] f(B,f(f(B,A),f(A,B))) -> f(B,A)
% Rule [134] f(f(B,B),f(f(f(B,B),A),f(A,f(B,B)))) -> f(f(B,B),A) collapsed.
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [157] f(B,f(f(B,f(A,f(A,A))),C)) -> f(B,B)
% Rule [14] f(B,f(f(B,A),f(f(f(B,A),f(B,f(B,B))),C))) -> f(B,A) collapsed.
% Rule [33] f(f(f(B,B),A),f(A,f(f(A,f(B,f(B,B))),C))) -> A collapsed.
% Rule [37] f(f(B,A),f(A,f(f(A,f(f(B,A),f(f(B,A),f(B,A)))),C))) -> A collapsed.
% Rule [38] f(f(B,A),f(B,f(f(B,f(f(B,A),f(f(B,A),f(B,A)))),C))) -> B collapsed.
% Rule [43] f(f(B,A),f(B,f(f(B,f(C,f(C,C))),A))) -> B collapsed.
% Rule [73] f(B,f(f(A,B),f(f(f(A,B),f(B,f(B,B))),C))) -> f(A,B) collapsed.
% Rule [115] f(B,f(f(B,A),f(f(f(B,A),f(C,f(C,C))),f(B,B)))) -> f(B,A)
% collapsed.
% Rule [116] f(B,f(f(A,B),f(f(f(A,B),f(C,f(C,C))),f(B,B)))) -> f(A,B)
% collapsed.
% Rule [119] f(f(B,A),f(B,f(f(B,f(C,f(C,C))),f(f(B,A),f(B,A))))) -> B
% collapsed.
% Rule [122] f(f(B,A),f(A,f(f(A,f(C,f(C,C))),f(f(B,A),f(B,A))))) -> A
% collapsed.
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [158] f(B,B) <-> f(B,f(A,f(A,A)))
% Rule [35] f(f(f(B,A),f(A,C)),f(f(B,A),f(A,C))) -> f(f(f(B,A),f(A,C)),A)
% collapsed.
% Rule [83] f(f(f(B,A),f(C,A)),f(f(B,A),f(C,A))) -> f(f(f(B,A),f(C,A)),A)
% collapsed.
% Rule [84] f(f(f(B,f(A,C)),C),f(f(B,f(A,C)),C)) -> f(f(f(B,f(A,C)),C),f(A,C))
% collapsed.
% Rule [85] f(f(f(B,f(A,C)),A),f(f(B,f(A,C)),A)) -> f(f(f(B,f(A,C)),A),f(A,C))
% collapsed.
% Rule [86] f(f(B,f(f(B,A),C)),f(B,f(f(B,A),C))) -> f(f(B,f(f(B,A),C)),f(B,A))
% collapsed.
% Rule [104] f(f(f(B,A),f(B,C)),f(f(B,A),f(B,C))) -> f(f(f(B,A),f(B,C)),B)
% collapsed.
% 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: 685
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced : [159] f(B,f(A,f(A,A))) <-> f(B,B)
% Rule [26] f(f(B,A),f(A,f(f(B,A),f(f(B,A),f(B,A))))) -> A collapsed.
% Rule [92] f(f(B,A),f(A,f(C,f(A,f(f(B,A),f(f(B,A),f(B,A))))))) -> A collapsed.
% Rule [117] f(f(B,A),f(B,f(C,f(B,f(f(B,A),f(f(B,A),f(B,A))))))) -> B
% collapsed.
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [160] f(B,f(f(B,f(f(A,B),C)),f(A,B))) -> f(B,f(f(A,B),C))
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [161] f(B,f(f(B,f(A,f(C,B))),f(C,B))) -> f(B,f(A,f(C,B)))
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [162] f(f(f(B,A),f(A,C)),f(A,f(A,A))) -> f(f(f(B,A),f(A,C)),A)
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [163] f(f(f(B,A),f(C,A)),f(A,f(A,A))) -> f(f(f(B,A),f(C,A)),A)
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [164] f(f(f(B,A),f(B,C)),B) <-> f(f(f(B,A),f(B,C)),f(A,f(A,A)))
% Current number of equations to process: 681
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [165] f(f(f(B,A),f(B,C)),f(A,f(A,A))) <-> f(f(f(B,A),f(B,C)),B)
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [166] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(V_4,V_4),V_4))) -> A
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [167] f(f(B,A),f(f(c,f(c,c)),f(c,f(c,c)))) <-> f(f(C,C),C)
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [168] f(f(C,C),C) <-> f(f(c,c),c)
% Current number of equations to process: 679
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced : [169] f(f(c,c),c) <-> f(f(C,C),C)
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [170] f(B,f(f(B,A),f(B,f(f(C,A),f(A,D))))) -> f(B,A)
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [171] f(f(B,B),f(f(f(B,B),A),f(c,f(c,c)))) -> f(f(B,B),A)
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [172] f(f(f(B,f(A,C)),C),f(A,C)) <-> f(f(f(B,f(A,C)),C),f(A,f(A,A)))
% Current number of equations to process: 697
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [173] f(f(f(B,f(A,C)),C),f(A,f(A,A))) <-> f(f(f(B,f(A,C)),C),f(A,C))
% Current number of equations to process: 697
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [174] f(f(f(B,f(A,C)),A),f(A,C)) <-> f(f(f(B,f(A,C)),A),f(A,f(A,A)))
% Current number of equations to process: 696
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [175] f(f(f(B,f(A,C)),A),f(A,f(A,A))) <-> f(f(f(B,f(A,C)),A),f(A,C))
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [176] f(f(B,f(f(B,A),C)),f(B,A)) <-> f(f(B,f(f(B,A),C)),f(A,f(A,A)))
% Current number of equations to process: 695
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [177] f(f(B,f(f(B,A),C)),f(A,f(A,A))) <-> f(f(B,f(f(B,A),C)),f(B,A))
% Current number of equations to process: 695
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [178] f(f(B,f(f(A,f(C,D)),C)),f(f(C,D),f(C,D))) -> f(C,D)
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [179] f(f(B,f(f(A,f(C,D)),D)),f(f(C,D),f(C,D))) -> f(C,D)
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [180] f(f(B,f(A,f(f(A,C),D))),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [181] f(f(f(B,f(A,f(B,C))),D),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [182] f(f(f(B,f(A,f(B,f(C,f(C,C))))),D),B) -> f(B,f(C,f(C,C)))
% Current number of equations to process: 685
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [183] f(f(f(f(B,f(A,f(C,f(C,C)))),A),D),A) -> f(A,f(C,f(C,C)))
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [184] f(f(f(B,f(f(A,B),C)),D),f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [185] f(f(B,f(A,f(f(C,A),D))),f(f(C,A),f(C,A))) -> f(C,A)
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [186] f(f(f(B,f(A,f(C,B))),D),f(f(C,B),f(C,B))) -> f(C,B)
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [187] f(B,f(f(B,f(f(B,A),C)),f(A,f(A,A)))) -> f(B,f(f(B,A),C))
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [188] f(f(f(B,f(f(B,A),C)),f(A,f(A,A))),B) -> f(B,f(f(B,A),C))
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [189] f(f(f(B,f(A,f(A,A))),C),B) -> f(B,f(A,f(A,A)))
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [190] f(f(f(B,B),A),f(f(C,B),f(C,B))) -> f(C,B)
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [191] f(f(B,A),f(f(C,f(B,B)),f(C,f(B,B)))) -> f(C,f(B,B))
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [192] f(f(f(B,A),f(B,A)),f(f(f(C,f(B,A)),A),D)) -> f(B,A)
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [193] f(f(B,A),f(f(f(B,B),C),f(c,f(c,c)))) -> f(f(B,B),C)
% Rule [171] f(f(B,B),f(f(f(B,B),A),f(c,f(c,c)))) -> f(f(B,B),A) collapsed.
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [194] f(f(f(B,B),A),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [195] f(f(f(B,A),C),f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [196] f(f(f(B,A),f(B,A)),f(f(f(C,f(B,A)),B),D)) -> f(B,A)
% Current number of equations to process: 727
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [197] f(B,f(f(A,B),f(C,f(f(A,B),f(B,f(B,B)))))) -> f(A,B)
% Current number of equations to process: 730
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [198] f(f(B,A),f(f(f(B,A),C),f(A,f(A,A)))) -> f(f(B,A),C)
% Current number of equations to process: 763
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [199] f(f(f(B,A),f(B,A)),f(f(B,f(f(B,A),C)),D)) -> f(B,A)
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [200] f(B,f(f(f(A,A),B),f(A,f(A,A)))) -> f(f(A,A),B)
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [201] f(f(f(f(B,B),A),f(c,f(c,c))),A) -> f(f(B,B),A)
% Current number of equations to process: 792
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [202] f(f(B,A),f(A,f(f(A,f(f(B,f(f(C,C),C)),B)),D))) -> A
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [203] f(f(B,A),f(B,f(f(B,f(f(C,f(f(D,D),D)),C)),A))) -> B
% Current number of equations to process: 796
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [204] f(f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 792
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [205] f(f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),V_5),f(A,A)) -> A
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [206] f(f(f(f(B,A),f(f(f(C,A),f(D,A)),V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [207] f(f(B,A),f(C,f(f(B,A),f(B,f(B,B))))) -> f(f(B,A),f(B,f(B,B)))
% Rule [72] f(B,f(f(B,A),f(C,f(f(B,A),f(B,f(B,B)))))) -> f(B,A) collapsed.
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [208] f(f(f(f(f(f(B,A),f(A,C)),D),f(A,V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [209] f(f(f(f(B,f(f(A,C),f(C,D))),f(C,V_4)),V_5),f(C,C)) -> C
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [210] f(f(f(f(f(f(B,A),f(C,A)),D),f(A,V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [211] f(f(B,A),f(A,f(C,f(A,f(f(B,f(f(D,D),D)),B))))) -> A
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [212] f(f(B,f(f(A,B),C)),f(A,B)) <-> f(f(B,f(f(A,B),C)),f(A,f(A,A)))
% Current number of equations to process: 784
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [213] f(f(B,f(f(A,B),C)),f(A,f(A,A))) <-> f(f(B,f(f(A,B),C)),f(A,B))
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [214] f(f(B,f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))),f(C,C)) -> C
% Current number of equations to process: 826
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [215] f(f(B,A),f(f(f(C,A),f(B,A)),A)) -> f(f(C,A),f(B,A))
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [216] f(B,f(f(f(A,f(B,C)),B),f(B,C))) -> f(f(A,f(B,C)),B)
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [217] f(B,f(f(f(A,f(C,B)),B),f(C,B))) -> f(f(A,f(C,B)),B)
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [218] f(f(B,A),f(f(f(B,C),f(B,A)),B)) -> f(f(B,C),f(B,A))
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [219] f(f(f(B,A),f(A,C)),A) <-> f(f(f(B,A),f(A,C)),f(c,f(c,c)))
% Current number of equations to process: 873
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [220] f(f(f(B,A),f(A,C)),f(c,f(c,c))) <-> f(f(f(B,A),f(A,C)),A)
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [221] f(f(B,A),f(f(f(C,B),f(B,A)),f(c,f(c,c)))) -> f(f(C,B),f(B,A))
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [222] f(f(f(B,A),C),f(f(B,f(f(B,A),C)),f(B,A))) -> f(B,f(f(B,A),C))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [223] f(f(f(f(B,A),f(A,C)),f(c,f(c,c))),f(A,C)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [224] f(f(f(B,A),C),f(f(A,f(f(B,A),C)),f(B,A))) -> f(A,f(f(B,A),C))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [225] f(f(f(B,A),f(A,C)),A) <-> f(f(f(B,A),f(A,C)),f(B,f(B,B)))
% Current number of equations to process: 885
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [226] f(f(f(B,A),f(A,C)),f(B,f(B,B))) <-> f(f(f(B,A),f(A,C)),A)
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [227] f(f(f(B,f(f(A,A),A)),C),f(C,f(B,f(B,f(f(A,A),A))))) -> C
% Current number of equations to process: 923
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [228]
% f(B,f(f(f(f(A,B),f(B,C)),D),f(f(V_4,V_4),V_4))) -> f(f(f(A,B),f(B,C)),D)
% Current number of equations to process: 922
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [229]
% f(B,f(f(A,f(f(C,B),f(B,D))),f(f(V_4,V_4),V_4))) -> f(A,f(f(C,B),f(B,D)))
% Current number of equations to process: 921
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [230] f(B,f(f(f(A,A),A),f(f(f(A,B),f(C,B)),D))) -> f(f(f(A,B),f(C,B)),D)
% Current number of equations to process: 920
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [231] f(f(f(f(B,B),B),f(f(f(A,B),f(C,B)),D)),B) -> f(f(f(A,B),f(C,B)),D)
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [232]
% f(B,f(f(f(f(A,B),f(C,B)),D),f(f(V_4,V_4),V_4))) -> f(f(f(A,B),f(C,B)),D)
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [233] f(B,f(f(A,f(f(C,B),f(B,D))),f(c,f(c,c)))) -> f(A,f(f(C,B),f(B,D)))
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [234] f(B,f(f(f(f(A,B),f(B,C)),D),f(A,f(A,A)))) -> f(f(f(A,B),f(B,C)),D)
% Current number of equations to process: 915
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [235] f(B,f(f(f(f(A,B),f(C,B)),D),f(A,f(A,A)))) -> f(f(f(A,B),f(C,B)),D)
% Current number of equations to process: 914
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [236] f(B,f(f(f(A,f(B,f(B,B))),B),f(A,f(A,A)))) -> f(f(A,f(B,f(B,B))),B)
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [237] f(B,f(f(f(f(A,B),f(C,B)),D),f(B,f(B,B)))) -> f(f(f(A,B),f(C,B)),D)
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [238] f(B,f(f(f(f(B,A),f(B,C)),D),f(B,f(B,B)))) -> f(f(f(B,A),f(B,C)),D)
% Current number of equations to process: 908
% Current number of ordered equations: 2
% Current number of rules: 158
% New rule produced :
% [239] f(f(f(f(f(B,A),f(A,C)),D),f(B,f(B,B))),A) -> f(f(f(B,A),f(A,C)),D)
% Current number of equations to process: 908
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [240] f(f(f(f(f(B,A),f(A,C)),D),f(A,f(A,A))),A) -> f(f(f(B,A),f(A,C)),D)
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [241] f(f(f(A,B),f(B,C)),f(f(B,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [242] f(B,f(f(B,f(f(A,C),f(C,D))),f(A,f(A,A)))) -> f(B,f(f(A,C),f(C,D)))
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [243] f(f(f(f(B,B),A),C),f(A,f(A,A))) <-> f(f(f(f(B,B),A),C),f(B,f(B,B)))
% Current number of equations to process: 915
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [244] f(f(f(f(B,B),A),C),f(B,f(B,B))) <-> f(f(f(f(B,B),A),C),f(A,f(A,A)))
% Current number of equations to process: 915
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [245] f(f(f(B,B),f(f(A,C),f(C,D))),f(C,f(B,f(B,B)))) -> C
% Current number of equations to process: 924
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [246] f(f(f(f(B,B),A),f(c,f(c,c))),f(f(f(B,B),A),C)) -> f(f(B,B),A)
% Current number of equations to process: 928
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [247] f(f(B,A),f(f(f(B,A),C),f(f(B,f(f(D,D),D)),B))) -> f(f(B,A),C)
% Current number of equations to process: 927
% Current number of ordered equations: 0
% Current number of rules: 167
% Rule [226] f(f(f(B,A),f(A,C)),f(B,f(B,B))) <-> f(f(f(B,A),f(A,C)),A) is composed into 
% [226] f(f(f(B,A),f(A,C)),f(B,f(B,B))) -> f(A,f(f(B,A),f(A,C)))
% Rule [220] f(f(f(B,A),f(A,C)),f(c,f(c,c))) <-> f(f(f(B,A),f(A,C)),A) is composed into 
% [220] f(f(f(B,A),f(A,C)),f(c,f(c,c))) -> f(A,f(f(B,A),f(A,C)))
% Rule [162] f(f(f(B,A),f(A,C)),f(A,f(A,A))) -> f(f(f(B,A),f(A,C)),A) is composed into 
% [162] f(f(f(B,A),f(A,C)),f(A,f(A,A))) -> f(A,f(f(B,A),f(A,C)))
% New rule produced : [248] f(f(f(A,B),f(B,C)),B) -> f(B,f(f(A,B),f(B,C)))
% Rule [4] f(f(B,A),f(f(f(B,A),f(A,C)),A)) -> f(f(B,A),f(A,C)) collapsed.
% Rule [82] f(f(B,A),f(f(f(C,B),f(B,A)),B)) -> f(f(C,B),f(B,A)) collapsed.
% Rule [87] f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),C)) -> f(f(A,C),f(C,D))
% collapsed.
% Rule [89] f(f(f(f(B,A),f(A,C)),D),f(f(f(B,A),f(A,C)),A)) -> f(f(B,A),f(A,C))
% collapsed.
% Rule [90] f(f(f(f(B,A),f(A,C)),A),f(A,C)) -> f(f(B,A),f(A,C)) collapsed.
% Rule [91] f(f(f(f(B,A),f(A,C)),A),f(f(f(B,A),f(A,C)),D)) -> f(f(B,A),f(A,C))
% collapsed.
% Rule [98] f(f(f(f(B,A),f(A,C)),A),f(B,A)) -> f(f(B,A),f(A,C)) collapsed.
% Rule [132] f(f(f(f(B,f(A,C)),A),f(A,C)),A) -> f(f(B,f(A,C)),A) collapsed.
% Rule [147] f(f(f(B,f(A,A)),f(f(A,A),A)),f(A,A)) -> f(B,f(A,A)) collapsed.
% Rule [219] f(f(f(B,A),f(A,C)),A) <-> f(f(f(B,A),f(A,C)),f(c,f(c,c)))
% collapsed.
% Rule [225] f(f(f(B,A),f(A,C)),A) <-> f(f(f(B,A),f(A,C)),f(B,f(B,B)))
% collapsed.
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [249] f(f(B,A),f(A,f(f(B,A),f(A,C)))) -> f(f(B,A),f(A,C))
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [250] f(B,f(A,f(B,f(C,f(C,C))))) -> f(B,B)
% Rule [75] f(f(f(B,B),A),f(A,f(C,f(A,f(B,f(B,B)))))) -> A collapsed.
% Rule [182] f(f(f(B,f(A,f(B,f(C,f(C,C))))),D),B) -> f(B,f(C,f(C,C)))
% collapsed.
% Rule [197] f(B,f(f(A,B),f(C,f(f(A,B),f(B,f(B,B)))))) -> f(A,B) collapsed.
% Rule [207] f(f(B,A),f(C,f(f(B,A),f(B,f(B,B))))) -> f(f(B,A),f(B,f(B,B)))
% collapsed.
% Current number of equations to process: 964
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [251] f(f(A,f(f(B,A),f(A,C))),f(A,C)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [252] f(f(B,A),f(B,f(f(C,B),f(B,A)))) -> f(f(C,B),f(B,A))
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [253] f(f(A,f(f(B,A),f(A,C))),f(B,A)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [254] f(B,f(A,f(B,f(C,f(C,f(f(D,D),D)))))) -> f(B,B)
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [255] f(f(f(f(B,A),f(C,B)),B),f(C,B)) -> f(f(B,A),f(C,B))
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [256] f(f(f(f(B,A),f(C,A)),A),f(A,f(A,A))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 990
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [257] f(f(B,B),f(f(f(B,A),f(B,C)),D)) -> B
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [258] f(B,f(f(B,A),f(f(f(C,B),f(B,D)),A))) -> f(B,A)
% Current number of equations to process: 1042
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [259] f(f(f(f(B,B),A),f(c,f(c,c))),f(B,B)) -> f(f(B,B),A)
% Current number of equations to process: 1043
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [260] f(f(f(f(B,A),C),f(A,f(A,A))),f(B,A)) -> f(f(B,A),C)
% Current number of equations to process: 1042
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [261] f(f(f(B,A),f(B,A)),f(f(A,f(f(B,A),C)),D)) -> f(B,A)
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [262] f(f(f(f(f(B,A),C),B),D),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 1145
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [263] f(f(f(f(f(B,A),C),A),D),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 1144
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [264] f(f(f(B,f(A,f(B,C))),f(B,C)),B) -> f(B,f(A,f(B,C)))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [265] f(f(f(f(B,A),f(C,B)),B),f(B,A)) -> f(f(B,A),f(C,B))
% Current number of equations to process: 1158
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [266] f(f(f(B,f(A,f(C,B))),f(C,B)),B) -> f(B,f(A,f(C,B)))
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [267] f(B,f(f(B,f(A,A)),f(B,f(A,f(f(C,C),C))))) -> f(B,f(A,A))
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [268] f(f(B,B),f(f(f(A,B),f(f(f(C,B),f(B,D)),V_4)),V_5)) -> B
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [269] f(f(f(f(B,A),f(f(f(A,C),f(A,D)),V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 1171
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [270] f(f(f(f(f(f(B,A),f(B,C)),D),f(B,V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [271] f(f(f(f(B,A),f(f(f(C,B),f(B,D)),V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [272] f(f(f(f(B,B),A),f(A,f(B,B))),f(B,B)) -> f(f(B,B),A)
% Current number of equations to process: 1174
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [273] f(f(f(B,A),f(A,B)),B) -> f(B,A)
% Rule [272] f(f(f(f(B,B),A),f(A,f(B,B))),f(B,B)) -> f(f(B,B),A) collapsed.
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [274] f(f(f(f(B,f(A,A)),f(C,f(A,f(f(D,D),D)))),V_4),A) -> f(A,A)
% Current number of equations to process: 1182
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [275] f(f(f(f(B,f(A,C)),C),f(A,C)),f(A,f(A,A))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 1181
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [276] f(f(f(B,f(A,f(B,C))),f(B,C)),f(A,f(B,C))) -> f(B,f(A,f(B,C)))
% Current number of equations to process: 1180
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [277] f(f(f(B,f(A,f(C,B))),f(C,B)),f(A,f(C,B))) -> f(B,f(A,f(C,B)))
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [278] f(B,f(f(B,A),f(A,f(f(C,B),f(B,D))))) -> f(B,A)
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [279] f(f(f(B,A),f(C,B)),B) <-> f(f(f(B,A),f(C,B)),f(A,f(A,A)))
% Current number of equations to process: 1232
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [280] f(f(f(B,A),f(C,B)),f(A,f(A,A))) <-> f(f(f(B,A),f(C,B)),B)
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [281] f(f(C,f(B,A)),f(f(B,A),f(A,f(A,A)))) -> f(B,A)
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [282] f(f(C,f(B,A)),f(f(B,A),f(B,f(B,B)))) -> f(B,A)
% Current number of equations to process: 1234
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [283] f(f(A,B),f(B,f(C,f(C,C)))) -> B
% Rule [44] f(f(f(B,B),A),f(A,f(B,f(B,B)))) -> A collapsed.
% Rule [281] f(f(C,f(B,A)),f(f(B,A),f(A,f(A,A)))) -> f(B,A) collapsed.
% Rule [282] f(f(C,f(B,A)),f(f(B,A),f(B,f(B,B)))) -> f(B,A) collapsed.
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [284] f(f(f(B,A),f(f(f(C,B),f(B,D)),A)),B) -> f(B,A)
% Current number of equations to process: 1251
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [285] f(B,f(f(B,A),f(f(f(C,B),f(D,B)),A))) -> f(B,A)
% Current number of equations to process: 1262
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [286] f(B,f(f(B,A),f(f(f(B,C),f(B,D)),A))) -> f(B,A)
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [287] f(f(B,f(f(A,f(C,C)),f(D,f(C,C)))),C) -> f(C,C)
% Current number of equations to process: 1296
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [288] f(B,f(A,f(f(C,f(B,B)),f(f(B,B),D)))) -> f(B,B)
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [289] f(f(B,f(f(A,C),f(C,D))),f(C,f(f(V_4,V_4),V_4))) -> C
% Current number of equations to process: 1300
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [290] f(B,f(f(f(A,f(B,B)),f(C,f(B,B))),D)) -> f(B,B)
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [291] f(f(f(f(B,A),f(C,A)),D),f(A,f(f(V_4,V_4),V_4))) -> A
% Current number of equations to process: 1324
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [292] f(f(B,f(f(A,A),A)),f(f(f(C,B),f(B,D)),V_4)) -> B
% Current number of equations to process: 1348
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [293] f(f(f(f(f(B,B),A),f(C,f(B,B))),D),B) -> f(B,B)
% Current number of equations to process: 1367
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [294] f(B,f(f(f(f(B,B),A),f(f(B,B),C)),D)) -> f(B,B)
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [295] f(f(f(f(B,A),f(B,C)),D),f(B,f(f(V_4,V_4),V_4))) -> B
% Current number of equations to process: 1374
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [296] f(B,f(f(f(A,f(C,B)),B),f(A,f(A,A)))) -> f(f(A,f(C,B)),B)
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [297] f(f(f(f(B,f(A,C)),C),f(A,f(A,A))),C) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [298] f(f(f(B,A),f(f(f(C,B),f(B,D)),A)),A) -> f(B,A)
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [299] f(f(B,f(A,f(A,A))),f(B,C)) -> B
% Rule [246] f(f(f(f(B,B),A),f(c,f(c,c))),f(f(f(B,B),A),C)) -> f(f(B,B),A)
% collapsed.
% Current number of equations to process: 1406
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [300] f(f(f(B,A),f(f(C,C),C)),B) -> f(B,A)
% Current number of equations to process: 1405
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [301] f(f(f(B,A),f(f(C,C),C)),A) -> f(B,A)
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [302] f(f(B,f(A,f(A,f(f(C,C),C)))),f(B,D)) -> B
% Current number of equations to process: 1410
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [303] f(f(B,B),f(f(A,A),A)) -> B
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [304] f(B,f(f(B,f(A,f(A,f(f(C,C),C)))),D)) -> f(B,B)
% Current number of equations to process: 1432
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [305] f(f(B,f(f(A,A),A)),f(f(C,C),C)) -> B
% Current number of equations to process: 1456
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [306] f(B,B) <-> f(B,f(A,f(A,f(f(C,C),C))))
% Current number of equations to process: 1508
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced : [307] f(B,f(A,f(A,f(f(C,C),C)))) <-> f(B,B)
% Current number of equations to process: 1508
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [308] f(f(B,B),B) <-> f(f(A,A),A)
% Rule [168] f(f(C,C),C) <-> f(f(c,c),c) collapsed.
% Rule [169] f(f(c,c),c) <-> f(f(C,C),C) collapsed.
% Current number of equations to process: 1522
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [309] f(B,B) <-> f(B,f(f(A,f(f(C,C),C)),A))
% Current number of equations to process: 1561
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced : [310] f(B,f(f(A,f(f(C,C),C)),A)) <-> f(B,B)
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [311] f(f(f(f(B,A),f(f(C,C),C)),D),f(A,A)) -> A
% Current number of equations to process: 1560
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [312] f(f(B,A),f(B,f(f(C,f(f(D,D),D)),C))) -> B
% Current number of equations to process: 1559
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [313] f(f(f(f(B,A),f(f(C,C),C)),D),f(B,B)) -> B
% Current number of equations to process: 1558
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [314] f(f(B,f(f(A,f(f(C,C),C)),A)),f(B,D)) -> B
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [315] f(B,f(f(c,f(c,c)),f(c,f(c,c)))) <-> f(f(B,B),B)
% Current number of equations to process: 1556
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced : [316] f(f(B,B),B) <-> f(B,f(f(c,f(c,c)),f(c,f(c,c))))
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [317] f(f(B,B),B) <-> f(f(f(c,f(c,c)),f(c,f(c,c))),B)
% Current number of equations to process: 1555
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced : [318] f(f(f(c,f(c,c)),f(c,f(c,c))),B) <-> f(f(B,B),B)
% Current number of equations to process: 1555
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [319] f(B,f(f(B,A),f(C,f(C,C)))) -> f(B,A)
% Rule [8] f(B,f(f(B,A),f(B,f(B,B)))) -> f(B,A) collapsed.
% Rule [88] f(f(f(B,B),A),f(f(f(f(B,B),A),C),f(B,f(B,B)))) -> f(f(f(B,B),A),C)
% collapsed.
% Rule [187] f(B,f(f(B,f(f(B,A),C)),f(A,f(A,A)))) -> f(B,f(f(B,A),C))
% collapsed.
% Rule [198] f(f(B,A),f(f(f(B,A),C),f(A,f(A,A)))) -> f(f(B,A),C) collapsed.
% Rule [242] f(B,f(f(B,f(f(A,C),f(C,D))),f(A,f(A,A)))) -> f(B,f(f(A,C),f(C,D)))
% collapsed.
% Current number of equations to process: 1562
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [320] f(B,f(f(A,B),f(C,f(C,C)))) -> f(A,B)
% Rule [59] f(B,f(f(A,B),f(B,f(B,B)))) -> f(A,B) collapsed.
% Rule [200] f(B,f(f(f(A,A),B),f(A,f(A,A)))) -> f(f(A,A),B) collapsed.
% Rule [221] f(f(B,A),f(f(f(C,B),f(B,A)),f(c,f(c,c)))) -> f(f(C,B),f(B,A))
% collapsed.
% Rule [236] f(B,f(f(f(A,f(B,f(B,B))),B),f(A,f(A,A)))) -> f(f(A,f(B,f(B,B))),B)
% collapsed.
% Rule [296] f(B,f(f(f(A,f(C,B)),B),f(A,f(A,A)))) -> f(f(A,f(C,B)),B)
% collapsed.
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [321] f(f(B,f(A,f(C,f(C,C)))),A) -> f(A,f(C,f(C,C)))
% Rule [183] f(f(f(f(B,f(A,f(C,f(C,C)))),A),D),A) -> f(A,f(C,f(C,C)))
% collapsed.
% Current number of equations to process: 1560
% Current number of ordered equations: 0
% Current number of rules: 208
% Rule [279] f(f(f(B,A),f(C,B)),B) <-> f(f(f(B,A),f(C,B)),f(A,f(A,A))) is composed into 
% [279] f(f(f(B,A),f(C,B)),B) -> f(f(A,f(A,A)),f(f(B,A),f(C,B)))
% Rule [212] f(f(B,f(f(A,B),C)),f(A,B)) <-> f(f(B,f(f(A,B),C)),f(A,f(A,A))) is composed into 
% [212] f(f(B,f(f(A,B),C)),f(A,B)) -> f(f(A,f(A,A)),f(B,f(f(A,B),C)))
% Rule [176] f(f(B,f(f(B,A),C)),f(B,A)) <-> f(f(B,f(f(B,A),C)),f(A,f(A,A))) is composed into 
% [176] f(f(B,f(f(B,A),C)),f(B,A)) -> f(f(A,f(A,A)),f(B,f(f(B,A),C)))
% Rule [174] f(f(f(B,f(A,C)),A),f(A,C)) <-> f(f(f(B,f(A,C)),A),f(A,f(A,A))) is composed into 
% [174] f(f(f(B,f(A,C)),A),f(A,C)) -> f(f(A,f(A,A)),f(f(B,f(A,C)),A))
% Rule [172] f(f(f(B,f(A,C)),C),f(A,C)) <-> f(f(f(B,f(A,C)),C),f(A,f(A,A))) is composed into 
% [172] f(f(f(B,f(A,C)),C),f(A,C)) -> f(f(A,f(A,A)),f(f(B,f(A,C)),C))
% Rule [164] f(f(f(B,A),f(B,C)),B) <-> f(f(f(B,A),f(B,C)),f(A,f(A,A))) is composed into 
% [164] f(f(f(B,A),f(B,C)),B) -> f(f(A,f(A,A)),f(f(B,A),f(B,C)))
% New rule produced : [322] f(A,f(B,f(B,B))) <-> f(f(B,f(B,B)),A)
% Rule [80] f(B,f(f(f(f(A,B),f(B,C)),D),f(B,f(B,B)))) -> f(f(f(A,B),f(B,C)),D)
% collapsed.
% Rule [162] f(f(f(B,A),f(A,C)),f(A,f(A,A))) -> f(A,f(f(B,A),f(A,C)))
% collapsed.
% Rule [163] f(f(f(B,A),f(C,A)),f(A,f(A,A))) -> f(f(f(B,A),f(C,A)),A)
% collapsed.
% Rule [165] f(f(f(B,A),f(B,C)),f(A,f(A,A))) <-> f(f(f(B,A),f(B,C)),B)
% collapsed.
% Rule [173] f(f(f(B,f(A,C)),C),f(A,f(A,A))) <-> f(f(f(B,f(A,C)),C),f(A,C))
% collapsed.
% Rule [175] f(f(f(B,f(A,C)),A),f(A,f(A,A))) <-> f(f(f(B,f(A,C)),A),f(A,C))
% collapsed.
% Rule [177] f(f(B,f(f(B,A),C)),f(A,f(A,A))) <-> f(f(B,f(f(B,A),C)),f(B,A))
% collapsed.
% Rule [188] f(f(f(B,f(f(B,A),C)),f(A,f(A,A))),B) -> f(B,f(f(B,A),C))
% collapsed.
% Rule [193] f(f(B,A),f(f(f(B,B),C),f(c,f(c,c)))) -> f(f(B,B),C) collapsed.
% Rule [201] f(f(f(f(B,B),A),f(c,f(c,c))),A) -> f(f(B,B),A) collapsed.
% Rule [213] f(f(B,f(f(A,B),C)),f(A,f(A,A))) <-> f(f(B,f(f(A,B),C)),f(A,B))
% collapsed.
% Rule [220] f(f(f(B,A),f(A,C)),f(c,f(c,c))) -> f(A,f(f(B,A),f(A,C)))
% collapsed.
% Rule [223] f(f(f(f(B,A),f(A,C)),f(c,f(c,c))),f(A,C)) -> f(f(B,A),f(A,C))
% collapsed.
% Rule [226] f(f(f(B,A),f(A,C)),f(B,f(B,B))) -> f(A,f(f(B,A),f(A,C)))
% collapsed.
% Rule [233] f(B,f(f(A,f(f(C,B),f(B,D))),f(c,f(c,c)))) -> f(A,f(f(C,B),f(B,D)))
% collapsed.
% Rule [234] f(B,f(f(f(f(A,B),f(B,C)),D),f(A,f(A,A)))) -> f(f(f(A,B),f(B,C)),D)
% collapsed.
% Rule [235] f(B,f(f(f(f(A,B),f(C,B)),D),f(A,f(A,A)))) -> f(f(f(A,B),f(C,B)),D)
% collapsed.
% Rule [237] f(B,f(f(f(f(A,B),f(C,B)),D),f(B,f(B,B)))) -> f(f(f(A,B),f(C,B)),D)
% collapsed.
% Rule [238] f(B,f(f(f(f(B,A),f(B,C)),D),f(B,f(B,B)))) -> f(f(f(B,A),f(B,C)),D)
% collapsed.
% Rule [239] f(f(f(f(f(B,A),f(A,C)),D),f(B,f(B,B))),A) -> f(f(f(B,A),f(A,C)),D)
% collapsed.
% Rule [240] f(f(f(f(f(B,A),f(A,C)),D),f(A,f(A,A))),A) -> f(f(f(B,A),f(A,C)),D)
% collapsed.
% Rule
% [243] f(f(f(f(B,B),A),C),f(A,f(A,A))) <-> f(f(f(f(B,B),A),C),f(B,f(B,B)))
% collapsed.
% Rule
% [244] f(f(f(f(B,B),A),C),f(B,f(B,B))) <-> f(f(f(f(B,B),A),C),f(A,f(A,A)))
% collapsed.
% Rule [256] f(f(f(f(B,A),f(C,A)),A),f(A,f(A,A))) -> f(f(B,A),f(C,A))
% collapsed.
% Rule [259] f(f(f(f(B,B),A),f(c,f(c,c))),f(B,B)) -> f(f(B,B),A) collapsed.
% Rule [260] f(f(f(f(B,A),C),f(A,f(A,A))),f(B,A)) -> f(f(B,A),C) collapsed.
% Rule [275] f(f(f(f(B,f(A,C)),C),f(A,C)),f(A,f(A,A))) -> f(f(B,f(A,C)),C)
% collapsed.
% Rule [280] f(f(f(B,A),f(C,B)),f(A,f(A,A))) <-> f(f(f(B,A),f(C,B)),B)
% collapsed.
% Rule [297] f(f(f(f(B,f(A,C)),C),f(A,f(A,A))),C) -> f(f(B,f(A,C)),C)
% 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: 1585
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced : [323] f(f(B,f(B,B)),A) <-> f(A,f(B,f(B,B)))
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [324] f(f(B,f(A,f(A,A))),f(C,B)) -> B
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [325] f(f(f(c,f(c,c)),f(f(B,B),A)),A) -> f(f(B,B),A)
% Current number of equations to process: 1603
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [326] f(f(B,A),f(B,f(C,f(C,f(D,f(D,D)))))) -> B
% Current number of equations to process: 1602
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [327] f(B,B) <-> f(B,f(A,f(A,f(C,f(C,C)))))
% Current number of equations to process: 1618
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced : [328] f(B,f(A,f(A,f(C,f(C,C))))) <-> f(B,B)
% Current number of equations to process: 1618
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [329] f(f(B,f(A,f(A,A))),f(f(C,C),C)) -> B
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [330] f(f(B,f(A,f(A,f(C,f(C,C))))),f(B,D)) -> B
% Current number of equations to process: 1616
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [331] f(f(B,A),f(B,f(f(C,f(D,f(D,D))),C))) -> B
% Current number of equations to process: 1615
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [332] f(f(f(B,B),A),f(f(C,C),C)) -> f(f(c,f(c,c)),f(f(B,B),A))
% Current number of equations to process: 1643
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [333] f(B,f(f(A,B),f(B,f(B,f(f(C,C),C))))) -> f(A,B)
% Current number of equations to process: 1642
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [334] f(B,f(f(B,A),f(B,f(B,f(f(C,C),C))))) -> f(B,A)
% Current number of equations to process: 1641
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [335] f(B,f(A,f(B,f(f(C,f(f(D,D),D)),C)))) -> f(B,B)
% Rule [211] f(f(B,A),f(A,f(C,f(A,f(f(B,f(f(D,D),D)),B))))) -> A collapsed.
% Current number of equations to process: 1640
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [336] f(f(f(f(B,f(A,A)),f(f(C,C),C)),D),A) -> f(A,A)
% Current number of equations to process: 1639
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [337] f(f(f(f(c,f(c,c)),f(f(B,B),A)),D),B) -> f(B,B)
% Current number of equations to process: 1638
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [338] f(B,f(f(B,f(f(A,f(f(C,C),C)),A)),D)) -> f(B,B)
% Rule [202] f(f(B,A),f(A,f(f(A,f(f(B,f(f(C,C),C)),B)),D))) -> A collapsed.
% Rule [203] f(f(B,A),f(B,f(f(B,f(f(C,f(f(D,D),D)),C)),A))) -> B collapsed.
% Current number of equations to process: 1637
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [339] f(B,f(A,f(B,f(C,f(C,f(D,f(D,D))))))) -> f(B,B)
% Current number of equations to process: 1632
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [340] f(B,f(f(B,f(A,f(A,f(C,f(C,C))))),D)) -> f(B,B)
% Current number of equations to process: 1631
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [341] f(B,f(f(B,A),f(C,f(C,f(f(D,D),D))))) -> f(B,A)
% Rule [334] f(B,f(f(B,A),f(B,f(B,f(f(C,C),C))))) -> f(B,A) collapsed.
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [342] f(B,f(f(B,A),f(f(C,f(f(D,D),D)),C))) -> f(B,A)
% Rule [247] f(f(B,A),f(f(f(B,A),C),f(f(B,f(f(D,D),D)),B))) -> f(f(B,A),C)
% collapsed.
% Current number of equations to process: 1629
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [343] f(B,f(f(B,A),f(C,f(C,f(D,f(D,D)))))) -> f(B,A)
% Current number of equations to process: 1628
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [344] f(B,f(f(A,B),f(C,f(C,f(f(D,D),D))))) -> f(A,B)
% Rule [333] f(B,f(f(A,B),f(B,f(B,f(f(C,C),C))))) -> f(A,B) collapsed.
% Current number of equations to process: 1627
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [345] f(f(f(f(B,B),B),f(A,B)),B) -> f(B,f(f(f(B,B),B),f(A,B)))
% Current number of equations to process: 1626
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [346] f(f(B,f(f(f(A,A),C),f(f(A,A),D))),A) -> f(A,A)
% Current number of equations to process: 1625
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [347] f(B,f(f(A,B),f(f(C,f(f(D,D),D)),C))) -> f(A,B)
% Current number of equations to process: 1624
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [348] f(B,f(f(A,B),f(C,f(C,f(D,f(D,D)))))) -> f(A,B)
% Current number of equations to process: 1623
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [349] f(f(A,f(A,A)),f(f(B,A),f(A,C))) -> f(A,f(f(B,A),f(A,C)))
% Current number of equations to process: 1622
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [350] f(f(f(B,A),f(C,A)),A) -> f(f(A,f(A,A)),f(f(B,A),f(C,A)))
% Rule [39] f(f(B,A),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A)) collapsed.
% Rule [57] f(f(f(B,A),f(B,A)),A) -> f(B,A) collapsed.
% Rule [94] f(f(f(f(B,A),f(C,A)),A),f(C,A)) -> f(f(B,A),f(C,A)) collapsed.
% Rule [101] f(f(f(f(B,A),f(C,A)),A),f(B,A)) -> f(f(B,A),f(C,A)) collapsed.
% Rule [133] f(f(f(f(B,f(A,C)),C),f(A,C)),C) -> f(f(B,f(A,C)),C) collapsed.
% Rule [215] f(f(B,A),f(f(f(C,A),f(B,A)),A)) -> f(f(C,A),f(B,A)) collapsed.
% Rule [298] f(f(f(B,A),f(f(f(C,B),f(B,D)),A)),A) -> f(B,A) collapsed.
% Rule [345] f(f(f(f(B,B),B),f(A,B)),B) -> f(B,f(f(f(B,B),B),f(A,B)))
% collapsed.
% Current number of equations to process: 1629
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [351] f(f(A,f(A,A)),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 1628
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [352] f(f(B,A),f(f(f(C,C),C),B)) -> B
% Current number of equations to process: 1685
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [353] f(B,f(A,f(f(f(C,C),C),B))) -> f(B,B)
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [354] f(B,B) <-> f(f(f(A,A),A),B)
% Current number of equations to process: 1719
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced : [355] f(f(f(A,A),A),B) <-> f(B,B)
% Current number of equations to process: 1719
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [356] f(f(f(f(B,B),B),A),f(A,C)) -> A
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [357] f(B,f(f(f(f(A,A),A),B),C)) -> f(B,B)
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [358] f(B,f(f(f(A,A),A),f(B,C))) -> f(B,C)
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [359] f(B,f(f(f(A,A),A),f(C,B))) -> f(C,B)
% Current number of equations to process: 1720
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [360] f(B,f(f(A,f(f(C,C),C)),A)) <-> f(f(f(A,A),A),B)
% Current number of equations to process: 1723
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced : [361] f(f(f(A,A),A),B) <-> f(B,f(f(A,f(f(C,C),C)),A))
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [362] f(f(f(f(f(B,B),B),A),C),A) -> f(A,f(f(B,B),B))
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [363] f(f(B,f(f(f(A,A),A),C)),C) -> f(C,f(f(A,A),A))
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [364] f(f(f(f(C,C),C),f(B,A)),B) -> f(B,A)
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [365] f(f(f(f(C,C),C),f(B,A)),A) -> f(B,A)
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [366] f(C,f(f(B,B),B)) <-> f(f(f(B,f(f(A,A),A)),B),C)
% Current number of equations to process: 1743
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced : [367] f(f(f(B,f(f(A,A),A)),B),C) <-> f(C,f(f(B,B),B))
% Current number of equations to process: 1743
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [368] f(f(B,f(f(A,C),f(f(A,A),A))),f(A,A)) -> A
% Current number of equations to process: 1743
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [369] f(f(B,B),f(f(f(B,A),f(f(B,B),B)),C)) -> B
% Current number of equations to process: 1742
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [370] f(f(B,A),f(A,f(C,f(C,f(f(D,D),D))))) -> A
% Rule [227] f(f(f(B,f(f(A,A),A)),C),f(C,f(B,f(B,f(f(A,A),A))))) -> C
% collapsed.
% Current number of equations to process: 1745
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [371] f(f(B,A),f(f(f(C,C),C),A)) -> A
% Current number of equations to process: 1750
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [372] f(f(B,A),f(A,f(f(C,f(f(D,D),D)),C))) -> A
% Rule [148] f(f(B,A),f(A,f(f(B,f(f(C,C),C)),B))) -> A collapsed.
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [373] f(f(B,A),f(A,f(C,f(C,f(D,f(D,D)))))) -> A
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [374] f(f(B,f(A,f(A,f(f(C,C),C)))),f(D,B)) -> B
% Current number of equations to process: 1753
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [375] f(f(f(f(B,B),B),A),f(C,A)) -> A
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [376] f(f(B,f(f(A,f(f(C,C),C)),A)),f(D,B)) -> B
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [377] f(f(B,f(A,f(A,f(C,f(C,C))))),f(D,B)) -> B
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [378] f(B,f(A,f(A,f(f(C,C),C)))) <-> f(f(A,f(A,f(f(C,C),C))),B)
% Current number of equations to process: 1760
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [379] f(f(A,f(A,f(f(C,C),C))),B) <-> f(B,f(A,f(A,f(f(C,C),C))))
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [380] f(f(B,f(f(f(A,A),A),f(C,f(A,A)))),A) -> f(A,A)
% Current number of equations to process: 1759
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [381] f(B,f(f(f(f(B,B),B),f(A,f(B,B))),C)) -> f(B,B)
% Current number of equations to process: 1758
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [382] f(f(A,f(A,f(C,f(C,C)))),B) <-> f(B,f(A,f(A,f(C,f(C,C)))))
% Current number of equations to process: 1757
% Current number of ordered equations: 1
% Current number of rules: 224
% New rule produced :
% [383] f(B,f(A,f(A,f(C,f(C,C))))) <-> f(f(A,f(A,f(C,f(C,C)))),B)
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [384] f(f(c,f(c,c)),f(f(B,B),f(A,f(A,A)))) -> f(B,B)
% Current number of equations to process: 1754
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [385] f(B,f(B,f(f(A,A),A))) <-> f(f(c,c),c)
% Current number of equations to process: 1758
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced : [386] f(f(c,c),c) <-> f(B,f(B,f(f(A,A),A)))
% Current number of equations to process: 1758
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [387] f(f(B,A),f(f(c,f(c,c)),f(f(B,B),C))) -> f(f(B,B),C)
% Current number of equations to process: 1758
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [388] f(A,f(f(B,A),f(A,C))) <-> f(f(c,f(c,c)),f(f(B,A),f(A,C)))
% Current number of equations to process: 1757
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [389] f(f(c,f(c,c)),f(f(B,A),f(A,C))) <-> f(A,f(f(B,A),f(A,C)))
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [390] f(A,f(f(B,A),f(A,C))) <-> f(f(B,f(B,B)),f(f(B,A),f(A,C)))
% Current number of equations to process: 1756
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [391] f(f(B,f(B,B)),f(f(B,A),f(A,C))) <-> f(A,f(f(B,A),f(A,C)))
% Current number of equations to process: 1756
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced : [392] f(f(f(c,f(c,c)),f(f(B,B),A)),f(B,B)) -> f(f(B,B),A)
% Current number of equations to process: 1755
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [393] f(f(f(A,f(A,A)),f(f(B,A),C)),f(B,A)) -> f(f(B,A),C)
% Current number of equations to process: 1754
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [394] f(f(B,B),f(f(A,f(A,A)),f(A,f(A,A)))) -> f(f(A,A),A)
% Current number of equations to process: 1753
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [395] f(f(f(B,A),f(A,C)),f(f(D,D),D)) -> f(A,f(f(B,A),f(A,C)))
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [396] f(f(B,B),B) <-> f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B))
% Current number of equations to process: 1749
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [397] f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B)) <-> f(f(B,B),B)
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [398] f(f(A,A),A) <-> f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B))
% Rule [396] f(f(B,B),B) <-> f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B)) collapsed.
% Current number of equations to process: 1748
% Current number of ordered equations: 1
% Current number of rules: 239
% Rule [398] f(f(A,A),A) <-> f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B)) is composed into 
% [398] f(f(A,A),A) <-> f(f(c,c),c)
% New rule produced :
% [399] f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B)) <-> f(f(A,A),A)
% Rule [397] f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B)) <-> f(f(B,B),B) collapsed.
% Current number of equations to process: 1748
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced : [400] f(f(B,A),f(f(C,f(C,C)),f(C,f(C,C)))) -> f(C,f(C,C))
% Rule [167] f(f(B,A),f(f(c,f(c,c)),f(c,f(c,c)))) <-> f(f(C,C),C) collapsed.
% Rule [241] f(f(f(A,B),f(B,C)),f(f(B,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B))
% collapsed.
% Rule [394] f(f(B,B),f(f(A,f(A,A)),f(A,f(A,A)))) -> f(f(A,A),A) collapsed.
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 237
% Rule [399] f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B)) <-> f(f(A,A),A) is composed into 
% [399] f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B)) -> f(c,f(c,c))
% Rule [354] f(B,B) <-> f(f(f(A,A),A),B) is composed into [354]
% f(B,B) <->
% f(f(c,f(c,c)),B)
% Rule [318] f(f(f(c,f(c,c)),f(c,f(c,c))),B) <-> f(f(B,B),B) is composed into 
% [318] f(f(f(c,f(c,c)),f(c,f(c,c))),B) -> f(c,f(c,c))
% Rule [315] f(B,f(f(c,f(c,c)),f(c,f(c,c)))) <-> f(f(B,B),B) is composed into 
% [315] f(B,f(f(c,f(c,c)),f(c,f(c,c)))) -> f(c,f(c,c))
% Rule [309] f(B,B) <-> f(B,f(f(A,f(f(C,C),C)),A)) is composed into [309]
% f(B,B) <->
% f(B,
% f(f(A,
% f(c,
% f(c,c))),A))
% Rule [306] f(B,B) <-> f(B,f(A,f(A,f(f(C,C),C)))) is composed into [306]
% f(B,B) <->
% f(B,
% f(A,
% f(A,
% f(c,
% f(c,c)))))
% Rule [137] f(B,B) <-> f(B,f(f(A,A),A)) is composed into [137]
% f(B,B) <->
% f(B,f(c,f(c,c)))
% New rule produced : [401] f(f(C,C),C) -> f(c,f(c,c))
% Rule [61] f(f(A,C),f(A,f(f(B,B),B))) -> A collapsed.
% Rule [93] f(B,f(A,f(B,f(f(C,C),C)))) -> f(B,B) collapsed.
% Rule [135] f(f(B,f(f(A,A),A)),f(B,C)) -> B collapsed.
% Rule [136] f(B,f(f(B,f(f(A,A),A)),C)) -> f(B,B) collapsed.
% Rule [138] f(B,f(f(A,A),A)) <-> f(B,B) collapsed.
% Rule [140] f(B,f(f(B,A),f(f(C,C),C))) -> f(B,A) collapsed.
% Rule [141] f(B,f(f(A,B),f(f(C,C),C))) -> f(A,B) collapsed.
% Rule [142] f(f(f(B,f(f(A,A),A)),C),B) -> f(B,f(f(A,A),A)) collapsed.
% Rule [143] f(f(B,f(A,f(f(C,C),C))),A) -> f(A,f(f(C,C),C)) collapsed.
% Rule [144] f(A,f(f(B,B),B)) <-> f(f(f(B,B),B),A) collapsed.
% Rule [145] f(f(f(B,B),B),A) <-> f(A,f(f(B,B),B)) collapsed.
% Rule [146] f(f(B,A),f(A,f(f(C,C),C))) -> A collapsed.
% Rule [149] f(f(B,f(f(A,A),A)),f(C,B)) -> B collapsed.
% Rule [150] f(f(B,A),f(B,f(C,f(C,f(f(D,D),D))))) -> B collapsed.
% Rule [166] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(V_4,V_4),V_4))) -> A collapsed.
% Rule
% [228]
% f(B,f(f(f(f(A,B),f(B,C)),D),f(f(V_4,V_4),V_4))) -> f(f(f(A,B),f(B,C)),D)
% collapsed.
% Rule
% [229]
% f(B,f(f(A,f(f(C,B),f(B,D))),f(f(V_4,V_4),V_4))) -> f(A,f(f(C,B),f(B,D)))
% collapsed.
% Rule [230] f(B,f(f(f(A,A),A),f(f(f(A,B),f(C,B)),D))) -> f(f(f(A,B),f(C,B)),D)
% collapsed.
% Rule [231] f(f(f(f(B,B),B),f(f(f(A,B),f(C,B)),D)),B) -> f(f(f(A,B),f(C,B)),D)
% collapsed.
% Rule
% [232]
% f(B,f(f(f(f(A,B),f(C,B)),D),f(f(V_4,V_4),V_4))) -> f(f(f(A,B),f(C,B)),D)
% collapsed.
% Rule [254] f(B,f(A,f(B,f(C,f(C,f(f(D,D),D)))))) -> f(B,B) collapsed.
% Rule [267] f(B,f(f(B,f(A,A)),f(B,f(A,f(f(C,C),C))))) -> f(B,f(A,A))
% collapsed.
% Rule [274] f(f(f(f(B,f(A,A)),f(C,f(A,f(f(D,D),D)))),V_4),A) -> f(A,A)
% collapsed.
% Rule [289] f(f(B,f(f(A,C),f(C,D))),f(C,f(f(V_4,V_4),V_4))) -> C collapsed.
% Rule [291] f(f(f(f(B,A),f(C,A)),D),f(A,f(f(V_4,V_4),V_4))) -> A collapsed.
% Rule [292] f(f(B,f(f(A,A),A)),f(f(f(C,B),f(B,D)),V_4)) -> B collapsed.
% Rule [295] f(f(f(f(B,A),f(B,C)),D),f(B,f(f(V_4,V_4),V_4))) -> B collapsed.
% Rule [300] f(f(f(B,A),f(f(C,C),C)),B) -> f(B,A) collapsed.
% Rule [301] f(f(f(B,A),f(f(C,C),C)),A) -> f(B,A) collapsed.
% Rule [302] f(f(B,f(A,f(A,f(f(C,C),C)))),f(B,D)) -> B collapsed.
% Rule [303] f(f(B,B),f(f(A,A),A)) -> B collapsed.
% Rule [304] f(B,f(f(B,f(A,f(A,f(f(C,C),C)))),D)) -> f(B,B) collapsed.
% Rule [305] f(f(B,f(f(A,A),A)),f(f(C,C),C)) -> B collapsed.
% Rule [307] f(B,f(A,f(A,f(f(C,C),C)))) <-> f(B,B) collapsed.
% Rule [308] f(f(B,B),B) <-> f(f(A,A),A) collapsed.
% Rule [310] f(B,f(f(A,f(f(C,C),C)),A)) <-> f(B,B) collapsed.
% Rule [311] f(f(f(f(B,A),f(f(C,C),C)),D),f(A,A)) -> A collapsed.
% Rule [312] f(f(B,A),f(B,f(f(C,f(f(D,D),D)),C))) -> B collapsed.
% Rule [313] f(f(f(f(B,A),f(f(C,C),C)),D),f(B,B)) -> B collapsed.
% Rule [314] f(f(B,f(f(A,f(f(C,C),C)),A)),f(B,D)) -> B collapsed.
% Rule [316] f(f(B,B),B) <-> f(B,f(f(c,f(c,c)),f(c,f(c,c)))) collapsed.
% Rule [317] f(f(B,B),B) <-> f(f(f(c,f(c,c)),f(c,f(c,c))),B) collapsed.
% Rule [329] f(f(B,f(A,f(A,A))),f(f(C,C),C)) -> B collapsed.
% Rule [332] f(f(f(B,B),A),f(f(C,C),C)) -> f(f(c,f(c,c)),f(f(B,B),A))
% collapsed.
% Rule [335] f(B,f(A,f(B,f(f(C,f(f(D,D),D)),C)))) -> f(B,B) collapsed.
% Rule [336] f(f(f(f(B,f(A,A)),f(f(C,C),C)),D),A) -> f(A,A) collapsed.
% Rule [338] f(B,f(f(B,f(f(A,f(f(C,C),C)),A)),D)) -> f(B,B) collapsed.
% Rule [341] f(B,f(f(B,A),f(C,f(C,f(f(D,D),D))))) -> f(B,A) collapsed.
% Rule [342] f(B,f(f(B,A),f(f(C,f(f(D,D),D)),C))) -> f(B,A) collapsed.
% Rule [344] f(B,f(f(A,B),f(C,f(C,f(f(D,D),D))))) -> f(A,B) collapsed.
% Rule [347] f(B,f(f(A,B),f(f(C,f(f(D,D),D)),C))) -> f(A,B) collapsed.
% Rule [352] f(f(B,A),f(f(f(C,C),C),B)) -> B collapsed.
% Rule [353] f(B,f(A,f(f(f(C,C),C),B))) -> f(B,B) collapsed.
% Rule [355] f(f(f(A,A),A),B) <-> f(B,B) collapsed.
% Rule [356] f(f(f(f(B,B),B),A),f(A,C)) -> A collapsed.
% Rule [357] f(B,f(f(f(f(A,A),A),B),C)) -> f(B,B) collapsed.
% Rule [358] f(B,f(f(f(A,A),A),f(B,C))) -> f(B,C) collapsed.
% Rule [359] f(B,f(f(f(A,A),A),f(C,B))) -> f(C,B) collapsed.
% Rule [360] f(B,f(f(A,f(f(C,C),C)),A)) <-> f(f(f(A,A),A),B) collapsed.
% Rule [361] f(f(f(A,A),A),B) <-> f(B,f(f(A,f(f(C,C),C)),A)) collapsed.
% Rule [362] f(f(f(f(f(B,B),B),A),C),A) -> f(A,f(f(B,B),B)) collapsed.
% Rule [363] f(f(B,f(f(f(A,A),A),C)),C) -> f(C,f(f(A,A),A)) collapsed.
% Rule [364] f(f(f(f(C,C),C),f(B,A)),B) -> f(B,A) collapsed.
% Rule [365] f(f(f(f(C,C),C),f(B,A)),A) -> f(B,A) collapsed.
% Rule [366] f(C,f(f(B,B),B)) <-> f(f(f(B,f(f(A,A),A)),B),C) collapsed.
% Rule [367] f(f(f(B,f(f(A,A),A)),B),C) <-> f(C,f(f(B,B),B)) collapsed.
% Rule [368] f(f(B,f(f(A,C),f(f(A,A),A))),f(A,A)) -> A collapsed.
% Rule [369] f(f(B,B),f(f(f(B,A),f(f(B,B),B)),C)) -> B collapsed.
% Rule [370] f(f(B,A),f(A,f(C,f(C,f(f(D,D),D))))) -> A collapsed.
% Rule [371] f(f(B,A),f(f(f(C,C),C),A)) -> A collapsed.
% Rule [372] f(f(B,A),f(A,f(f(C,f(f(D,D),D)),C))) -> A collapsed.
% Rule [374] f(f(B,f(A,f(A,f(f(C,C),C)))),f(D,B)) -> B collapsed.
% Rule [375] f(f(f(f(B,B),B),A),f(C,A)) -> A collapsed.
% Rule [376] f(f(B,f(f(A,f(f(C,C),C)),A)),f(D,B)) -> B collapsed.
% Rule [378] f(B,f(A,f(A,f(f(C,C),C)))) <-> f(f(A,f(A,f(f(C,C),C))),B)
% collapsed.
% Rule [379] f(f(A,f(A,f(f(C,C),C))),B) <-> f(B,f(A,f(A,f(f(C,C),C))))
% collapsed.
% Rule [380] f(f(B,f(f(f(A,A),A),f(C,f(A,A)))),A) -> f(A,A) collapsed.
% Rule [381] f(B,f(f(f(f(B,B),B),f(A,f(B,B))),C)) -> f(B,B) collapsed.
% Rule [385] f(B,f(B,f(f(A,A),A))) <-> f(f(c,c),c) collapsed.
% Rule [386] f(f(c,c),c) <-> f(B,f(B,f(f(A,A),A))) collapsed.
% Rule [395] f(f(f(B,A),f(A,C)),f(f(D,D),D)) -> f(A,f(f(B,A),f(A,C)))
% collapsed.
% Rule [398] f(f(A,A),A) <-> f(f(c,c),c) collapsed.
% Current number of equations to process: 1795
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [402] f(A,f(A,A)) <-> f(c,f(c,c))
% Current number of equations to process: 1794
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced : [403] f(c,f(c,c)) <-> f(A,f(A,A))
% Current number of equations to process: 1794
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [404] f(f(B,B),f(c,f(c,c))) -> B
% Current number of equations to process: 1792
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [405] f(f(B,A),f(f(c,f(c,c)),B)) -> B
% Current number of equations to process: 1791
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [406] f(f(f(c,f(c,c)),A),f(A,C)) -> A
% Current number of equations to process: 1790
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [407] f(f(B,A),f(f(c,f(c,c)),A)) -> A
% Current number of equations to process: 1789
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [408] f(f(f(c,f(c,c)),A),f(C,A)) -> A
% Current number of equations to process: 1788
% Current number of ordered equations: 0
% Current number of rules: 163
% Rule [306] f(B,B) <-> f(B,f(A,f(A,f(c,f(c,c))))) is composed into [306]
% f(B,B) <->
% f(B,
% f(c,
% f(c,c)))
% New rule produced : [409] f(B,f(B,f(c,f(c,c)))) -> f(c,f(c,c))
% Current number of equations to process: 1787
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [410] f(f(f(B,A),f(c,f(c,c))),B) -> f(B,A)
% Current number of equations to process: 1786
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [411] f(f(f(B,A),f(c,f(c,c))),A) -> f(B,A)
% Current number of equations to process: 1785
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [412] f(B,f(A,f(f(c,f(c,c)),B))) -> f(B,B)
% Current number of equations to process: 1783
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [413] f(B,f(f(f(c,f(c,c)),B),C)) -> f(B,B)
% Current number of equations to process: 1782
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [414] f(B,f(f(c,f(c,c)),f(B,C))) -> f(B,C)
% Current number of equations to process: 1781
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [415] f(B,f(f(c,f(c,c)),f(C,B))) -> f(C,B)
% Current number of equations to process: 1780
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [416] f(f(f(c,f(c,c)),f(B,A)),B) -> f(B,A)
% Rule [392] f(f(f(c,f(c,c)),f(f(B,B),A)),f(B,B)) -> f(f(B,B),A) collapsed.
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [417] f(f(f(c,f(c,c)),f(B,A)),A) -> f(B,A)
% Rule [325] f(f(f(c,f(c,c)),f(f(B,B),A)),A) -> f(f(B,B),A) collapsed.
% Current number of equations to process: 1778
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [418] f(f(c,f(c,c)),f(B,f(c,f(c,c)))) -> B
% Current number of equations to process: 1777
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [419] f(f(B,f(A,f(A,A))),f(c,f(c,c))) -> B
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [420] f(B,f(f(A,f(c,f(c,c))),A)) <-> f(f(c,f(c,c)),B)
% Current number of equations to process: 1775
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced : [421] f(f(c,f(c,c)),B) <-> f(B,f(f(A,f(c,f(c,c))),A))
% Current number of equations to process: 1775
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [422] f(f(f(f(c,f(c,c)),A),C),A) -> f(A,f(c,f(c,c)))
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [423] f(f(B,f(f(c,f(c,c)),C)),C) -> f(C,f(c,f(c,c)))
% Current number of equations to process: 1773
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [424] f(C,f(c,f(c,c))) <-> f(f(f(B,f(c,f(c,c))),B),C)
% Current number of equations to process: 1772
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced : [425] f(f(f(B,f(c,f(c,c))),B),C) <-> f(C,f(c,f(c,c)))
% Current number of equations to process: 1772
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [426] f(f(f(f(B,A),f(c,f(c,c))),D),f(A,A)) -> A
% Current number of equations to process: 1771
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [427] f(f(f(f(B,A),f(c,f(c,c))),D),f(B,B)) -> B
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [428] f(f(B,f(f(A,f(c,f(c,c))),A)),f(B,D)) -> B
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [429] f(f(B,f(f(A,C),f(c,f(c,c)))),f(A,A)) -> A
% Current number of equations to process: 1768
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [430] f(f(B,B),f(f(f(B,A),f(c,f(c,c))),C)) -> B
% Current number of equations to process: 1767
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [431] f(f(B,A),f(A,f(f(C,f(c,f(c,c))),C))) -> A
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [432] f(f(B,f(f(A,f(c,f(c,c))),A)),f(D,B)) -> B
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [433] f(B,f(A,f(B,f(f(C,f(c,f(c,c))),C)))) -> f(B,B)
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [434] f(f(f(f(B,f(A,A)),f(c,f(c,c))),D),A) -> f(A,A)
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [435] f(B,f(f(B,f(f(A,f(c,f(c,c))),A)),D)) -> f(B,B)
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [436] f(B,f(f(B,A),f(f(C,f(c,f(c,c))),C))) -> f(B,A)
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [437] f(B,f(f(A,B),f(f(C,f(c,f(c,c))),C))) -> f(A,B)
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [438] f(f(B,f(f(c,f(c,c)),f(C,f(A,A)))),A) -> f(A,A)
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [439] f(B,f(f(f(c,f(c,c)),f(A,f(B,B))),C)) -> f(B,B)
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [440] f(f(B,B),f(A,f(f(C,B),f(D,B)))) -> B
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [441] f(f(B,B),f(A,f(f(B,C),f(B,D)))) -> B
% Current number of equations to process: 1768
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [442] f(f(f(B,A),f(A,f(f(C,B),f(B,D)))),B) -> f(B,A)
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [443] f(B,f(f(B,A),f(B,f(f(A,C),f(A,D))))) -> f(B,A)
% Current number of equations to process: 1796
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [444] f(f(B,f(f(A,C),f(D,A))),f(A,A)) -> A
% Current number of equations to process: 1804
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [445] f(B,f(f(B,A),f(A,f(f(B,C),f(B,D))))) -> f(B,A)
% Current number of equations to process: 1824
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [446] f(B,f(f(B,A),f(B,f(f(C,A),f(D,A))))) -> f(B,A)
% Current number of equations to process: 1840
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [447] f(B,f(f(B,A),f(A,f(f(C,B),f(D,B))))) -> f(B,A)
% Current number of equations to process: 1856
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [448] f(f(B,f(f(A,C),f(c,f(c,c)))),f(C,C)) -> C
% Current number of equations to process: 1864
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [449] f(f(B,B),f(f(f(B,A),f(C,B)),D)) -> B
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [450] f(f(f(B,A),f(f(f(C,B),f(D,B)),A)),B) -> f(B,A)
% Current number of equations to process: 1881
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [451] f(f(B,B),f(f(f(A,B),f(c,f(c,c))),C)) -> B
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [452] f(f(B,B),f(A,f(A,A))) -> B
% Rule [384] f(f(c,f(c,c)),f(f(B,B),f(A,f(A,A)))) -> f(B,B) collapsed.
% Rule [404] f(f(B,B),f(c,f(c,c))) -> B collapsed.
% Current number of equations to process: 1945
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [453] f(f(f(B,A),f(C,f(C,C))),B) -> f(B,A)
% Rule [410] f(f(f(B,A),f(c,f(c,c))),B) -> f(B,A) collapsed.
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [454] f(f(B,f(A,f(A,A))),f(C,f(C,C))) -> B
% Rule [419] f(f(B,f(A,f(A,A))),f(c,f(c,c))) -> B collapsed.
% Current number of equations to process: 1972
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [455] f(f(f(B,A),f(C,f(C,C))),A) -> f(B,A)
% Rule [411] f(f(f(B,A),f(c,f(c,c))),A) -> f(B,A) collapsed.
% Current number of equations to process: 1975
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [456] f(B,B) <-> f(B,f(f(A,f(C,f(C,C))),A))
% Rule [309] f(B,B) <-> f(B,f(f(A,f(c,f(c,c))),A)) collapsed.
% Current number of equations to process: 2003
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced : [457] f(B,f(f(A,f(C,f(C,C))),A)) <-> f(B,B)
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [458] f(f(f(f(B,A),f(C,f(C,C))),D),f(A,A)) -> A
% Rule [426] f(f(f(f(B,A),f(c,f(c,c))),D),f(A,A)) -> A collapsed.
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [459] f(f(f(f(B,A),f(C,f(C,C))),D),f(B,B)) -> B
% Rule [427] f(f(f(f(B,A),f(c,f(c,c))),D),f(B,B)) -> B collapsed.
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [460] f(f(B,f(f(A,C),f(D,f(D,D)))),f(A,A)) -> A
% Rule [429] f(f(B,f(f(A,C),f(c,f(c,c)))),f(A,A)) -> A collapsed.
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [461] f(f(B,f(f(A,C),f(D,f(D,D)))),f(C,C)) -> C
% Rule [448] f(f(B,f(f(A,C),f(c,f(c,c)))),f(C,C)) -> C collapsed.
% Current number of equations to process: 1999
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [462] f(f(B,B),f(f(f(A,B),f(C,f(C,C))),D)) -> B
% Rule [451] f(f(B,B),f(f(f(A,B),f(c,f(c,c))),C)) -> B collapsed.
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [463] f(B,f(f(B,A),f(f(f(B,C),f(D,B)),A))) -> f(B,A)
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [464] f(B,f(f(B,f(f(A,f(C,f(C,C))),A)),D)) -> f(B,B)
% Rule [435] f(B,f(f(B,f(f(A,f(c,f(c,c))),A)),D)) -> f(B,B) collapsed.
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [465] f(f(f(f(B,f(A,A)),f(C,f(C,C))),D),A) -> f(A,A)
% Rule [434] f(f(f(f(B,f(A,A)),f(c,f(c,c))),D),A) -> f(A,A) collapsed.
% Current number of equations to process: 1995
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [466] f(f(f(f(B,A),f(A,C)),D),f(A,f(c,f(c,c)))) -> A
% Current number of equations to process: 1994
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [467] f(f(B,f(f(A,C),f(C,D))),f(C,f(c,f(c,c)))) -> C
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [468] f(f(f(f(B,A),f(C,A)),D),f(A,f(c,f(c,c)))) -> A
% Current number of equations to process: 1992
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [469] f(f(B,f(c,f(c,c))),f(f(f(C,B),f(B,D)),V_4)) -> B
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [470] f(f(f(f(B,A),f(B,C)),D),f(B,f(c,f(c,c)))) -> B
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [471] f(f(f(f(B,A),f(A,C)),D),f(A,f(V_4,f(V_4,V_4)))) -> A
% Rule [466] f(f(f(f(B,A),f(A,C)),D),f(A,f(c,f(c,c)))) -> A collapsed.
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [472] f(f(B,f(f(A,C),f(C,D))),f(C,f(V_4,f(V_4,V_4)))) -> C
% Rule [245] f(f(f(B,B),f(f(A,C),f(C,D))),f(C,f(B,f(B,B)))) -> C collapsed.
% Rule [467] f(f(B,f(f(A,C),f(C,D))),f(C,f(c,f(c,c)))) -> C collapsed.
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [473] f(f(f(f(B,A),f(C,A)),D),f(A,f(V_4,f(V_4,V_4)))) -> A
% Rule [468] f(f(f(f(B,A),f(C,A)),D),f(A,f(c,f(c,c)))) -> A collapsed.
% Current number of equations to process: 1987
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [474] f(f(B,f(A,f(A,A))),f(f(f(C,B),f(B,D)),V_4)) -> B
% Rule [469] f(f(B,f(c,f(c,c))),f(f(f(C,B),f(B,D)),V_4)) -> B collapsed.
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [475] f(f(f(f(B,A),f(B,C)),D),f(B,f(V_4,f(V_4,V_4)))) -> B
% Rule [470] f(f(f(f(B,A),f(B,C)),D),f(B,f(c,f(c,c)))) -> B collapsed.
% Current number of equations to process: 1985
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [476] f(B,f(f(A,B),f(C,B))) <-> f(f(c,f(c,c)),f(f(A,B),f(C,B)))
% Current number of equations to process: 1984
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [477] f(f(c,f(c,c)),f(f(A,B),f(C,B))) <-> f(B,f(f(A,B),f(C,B)))
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [478] f(B,f(f(B,A),f(B,C))) <-> f(f(c,f(c,c)),f(f(B,A),f(B,C)))
% Current number of equations to process: 1982
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [479] f(f(c,f(c,c)),f(f(B,A),f(B,C))) <-> f(B,f(f(B,A),f(B,C)))
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [480] f(f(B,f(c,f(c,c))),f(A,f(f(C,B),f(B,D)))) -> B
% Current number of equations to process: 1975
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [481] f(f(B,f(f(A,C),f(A,D))),f(A,f(c,f(c,c)))) -> A
% Current number of equations to process: 1974
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [482] f(f(B,f(f(A,C),f(D,C))),f(C,f(c,f(c,c)))) -> C
% Current number of equations to process: 1973
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [483] f(f(B,f(c,f(c,c))),f(f(f(A,B),f(C,B)),D)) -> B
% Current number of equations to process: 1972
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [484] f(f(f(B,f(B,B)),f(B,f(B,B))),f(A,C)) -> f(B,f(B,B))
% Rule [399] f(f(f(c,f(c,c)),f(c,f(c,c))),f(B,B)) -> f(c,f(c,c)) collapsed.
% Current number of equations to process: 1971
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [485] f(f(f(f(B,A),f(C,B)),D),f(B,f(c,f(c,c)))) -> B
% Current number of equations to process: 1970
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [486] f(f(B,f(A,f(A,A))),f(C,f(f(D,B),f(B,V_4)))) -> B
% Rule [480] f(f(B,f(c,f(c,c))),f(A,f(f(C,B),f(B,D)))) -> B collapsed.
% Current number of equations to process: 1963
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [487] f(f(B,f(f(A,C),f(A,D))),f(A,f(V_4,f(V_4,V_4)))) -> A
% Rule [481] f(f(B,f(f(A,C),f(A,D))),f(A,f(c,f(c,c)))) -> A collapsed.
% Current number of equations to process: 1962
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [488] f(f(B,f(f(A,C),f(D,C))),f(C,f(V_4,f(V_4,V_4)))) -> C
% Rule [482] f(f(B,f(f(A,C),f(D,C))),f(C,f(c,f(c,c)))) -> C collapsed.
% Current number of equations to process: 1961
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [489] f(f(B,f(A,f(A,A))),f(f(f(C,B),f(D,B)),V_4)) -> B
% Rule [483] f(f(B,f(c,f(c,c))),f(f(f(A,B),f(C,B)),D)) -> B collapsed.
% Current number of equations to process: 1960
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [490] f(f(f(f(B,A),f(C,B)),D),f(B,f(V_4,f(V_4,V_4)))) -> B
% Rule [485] f(f(f(f(B,A),f(C,B)),D),f(B,f(c,f(c,c)))) -> B collapsed.
% Current number of equations to process: 1959
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [491] f(B,f(f(B,A),f(f(f(C,A),f(A,D)),B))) -> f(B,A)
% Current number of equations to process: 1964
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [492] f(B,f(f(B,A),f(f(f(C,A),f(D,A)),B))) -> f(B,A)
% Current number of equations to process: 1963
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [493] f(B,f(f(B,A),f(f(f(A,C),f(A,D)),B))) -> f(B,A)
% Current number of equations to process: 1967
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [494] f(B,f(f(B,A),f(f(f(A,C),f(D,A)),B))) -> f(B,A)
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [495] f(f(f(A,f(A,A)),f(B,f(f(B,A),C))),B) -> f(B,f(f(B,A),C))
% Current number of equations to process: 1995
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [496] f(f(A,f(A,A)),f(f(A,f(A,A)),f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 1994
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [497] f(f(f(A,f(A,A)),f(f(B,f(A,C)),C)),C) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [498] f(B,f(f(A,f(A,A)),f(B,f(f(B,A),C)))) -> f(B,f(f(B,A),C))
% Current number of equations to process: 1992
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [499] f(f(B,f(B,B)),f(A,f(f(B,A),f(A,C)))) -> f(f(B,A),f(A,C))
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [500] f(f(C,f(C,C)),f(f(A,f(A,A)),f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [501] f(B,f(f(A,f(A,A)),f(B,f(f(A,B),C)))) -> f(B,f(f(A,B),C))
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [502] f(f(B,A),f(f(C,f(B,A)),B)) <-> f(f(c,f(c,c)),f(f(C,f(B,A)),B))
% Rule [222] f(f(f(B,A),C),f(f(B,f(f(B,A),C)),f(B,A))) -> f(B,f(f(B,A),C))
% collapsed.
% Rule [224] f(f(f(B,A),C),f(f(A,f(f(B,A),C)),f(B,A))) -> f(A,f(f(B,A),C))
% collapsed.
% Current number of equations to process: 1988
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [503] f(f(c,f(c,c)),f(f(C,f(B,A)),B)) <-> f(f(B,A),f(f(C,f(B,A)),B))
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [504] f(f(B,A),f(f(C,f(B,A)),A)) <-> f(f(c,f(c,c)),f(f(C,f(B,A)),A))
% Current number of equations to process: 1987
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [505] f(f(c,f(c,c)),f(f(C,f(B,A)),A)) <-> f(f(B,A),f(f(C,f(B,A)),A))
% Current number of equations to process: 1987
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [506] f(f(B,A),f(B,f(f(B,A),C))) <-> f(f(c,f(c,c)),f(B,f(f(B,A),C)))
% Current number of equations to process: 1986
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [507] f(f(c,f(c,c)),f(B,f(f(B,A),C))) <-> f(f(B,A),f(B,f(f(B,A),C)))
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [508] f(f(f(B,f(f(A,f(c,f(c,c))),A)),D),B) -> f(B,f(c,f(c,c)))
% Current number of equations to process: 1985
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [509] f(f(B,f(A,f(f(C,f(c,f(c,c))),C))),A) -> f(A,f(c,f(c,c)))
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [510] f(f(f(B,A),f(B,A)),f(C,f(f(D,f(B,A)),B))) -> f(B,A)
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [511] f(f(f(B,A),f(B,A)),f(C,f(f(D,f(B,A)),A))) -> f(B,A)
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced : [512] f(f(f(B,A),f(B,A)),f(C,f(B,f(f(B,A),D)))) -> f(B,A)
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [513] f(f(f(B,A),f(B,A)),f(C,f(A,f(f(B,A),D)))) -> f(B,A)
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced : [514] f(f(B,f(f(f(A,C),D),A)),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [515] f(f(B,f(f(f(A,C),D),C)),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 1976
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [516] f(f(B,f(A,f(C,f(A,D)))),f(f(A,D),f(A,D))) -> f(A,D)
% Current number of equations to process: 1974
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [517] f(f(B,f(A,f(C,f(D,A)))),f(f(D,A),f(D,A))) -> f(D,A)
% Current number of equations to process: 1973
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [518] f(f(f(B,A),f(B,A)),f(f(B,f(C,f(B,A))),D)) -> f(B,A)
% Current number of equations to process: 1972
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [519] f(f(f(B,A),f(B,A)),f(f(A,f(C,f(B,A))),D)) -> f(B,A)
% Current number of equations to process: 1971
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [520] f(B,B) <-> f(f(A,f(A,A)),B)
% Rule [354] f(B,B) <-> f(f(c,f(c,c)),B) collapsed.
% Current number of equations to process: 1978
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced : [521] f(f(A,f(A,A)),B) <-> f(B,B)
% Current number of equations to process: 1978
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [522] f(f(f(f(B,A),C),A),f(B,A)) -> f(f(C,f(C,C)),f(f(f(B,A),C),A))
% Rule [111] f(f(f(f(B,f(A,C)),A),f(A,C)),f(B,f(A,C))) -> f(f(B,f(A,C)),A)
% collapsed.
% Rule [113] f(f(f(f(B,f(A,C)),C),f(A,C)),f(B,f(A,C))) -> f(f(B,f(A,C)),C)
% collapsed.
% Rule [114] f(f(f(B,A),C),f(f(f(f(B,A),C),A),f(B,A))) -> f(f(f(B,A),C),A)
% collapsed.
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [523] f(f(A,f(A,A)),f(B,B)) -> B
% Rule [351] f(f(A,f(A,A)),f(f(B,A),f(B,A))) -> f(B,A) collapsed.
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [524] f(f(f(f(B,A),C),B),f(B,A)) -> f(f(C,f(C,C)),f(f(f(B,A),C),B))
% Rule [112] f(f(f(B,A),C),f(f(f(f(B,A),C),B),f(B,A))) -> f(f(f(B,A),C),B)
% collapsed.
% Rule [265] f(f(f(f(B,A),f(C,B)),B),f(B,A)) -> f(f(B,A),f(C,B)) collapsed.
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [525] f(f(A,f(A,A)),f(f(B,A),f(B,f(B,B)))) -> f(B,A)
% Current number of equations to process: 2056
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [526] f(f(B,A),f(A,B)) <-> f(f(A,f(A,A)),f(B,A))
% Current number of equations to process: 2224
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced : [527] f(f(A,f(A,A)),f(B,A)) <-> f(f(B,A),f(A,B))
% Current number of equations to process: 2224
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [528] f(f(B,A),f(A,f(f(C,B),f(B,D)))) <-> f(f(A,f(A,A)),f(B,A))
% Current number of equations to process: 2266
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [529] f(f(A,f(A,A)),f(B,A)) <-> f(f(B,A),f(A,f(f(C,B),f(B,D))))
% Current number of equations to process: 2266
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [530] f(f(B,A),f(f(A,f(A,A)),f(f(A,A),C))) -> f(f(A,A),C)
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [531] f(f(B,f(A,f(B,C))),f(B,C)) <-> f(f(C,f(C,C)),f(B,f(A,f(B,C))))
% Current number of equations to process: 2368
% Current number of ordered equations: 1
% Current number of rules: 250
% New rule produced :
% [532] f(f(C,f(C,C)),f(B,f(A,f(B,C)))) <-> f(f(B,f(A,f(B,C))),f(B,C))
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [533] f(f(B,f(A,A)),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced : [534] f(f(B,f(A,C)),f(f(C,A),f(C,A))) -> f(C,A)
% Current number of equations to process: 2372
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced : [535] f(f(B,f(A,A)),f(f(C,A),f(C,A))) -> f(C,A)
% Current number of equations to process: 2408
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [536] f(f(B,A),f(f(C,f(A,A)),f(C,f(A,A)))) -> f(C,f(A,A))
% Current number of equations to process: 2407
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced : [537] f(f(f(f(B,f(B,B)),A),C),A) -> f(A,f(B,f(B,B)))
% Rule [422] f(f(f(f(c,f(c,c)),A),C),A) -> f(A,f(c,f(c,c))) collapsed.
% Current number of equations to process: 2630
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced : [538] f(f(f(B,A),f(B,A)),f(f(A,A),C)) -> f(B,A)
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [539] f(B,f(f(B,f(A,C)),f(f(C,C),B))) -> f(B,f(A,C))
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced : [540] f(f(f(B,B),A),f(f(C,B),f(c,f(c,c)))) -> f(C,B)
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [541] f(f(f(B,B),A),f(f(C,B),f(D,f(D,D)))) -> f(C,B)
% Rule [540] f(f(f(B,B),A),f(f(C,B),f(c,f(c,c)))) -> f(C,B) collapsed.
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [542] f(f(f(A,B),f(B,C)),f(D,f(D,D))) -> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [543] f(f(f(A,B),f(C,B)),f(D,f(D,D))) -> f(B,f(f(A,B),f(C,B)))
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [544] f(f(f(B,A),f(B,C)),f(D,f(D,D))) -> f(B,f(f(B,A),f(B,C)))
% Current number of equations to process: 2698
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [545] f(f(f(B,A),f(C,B)),f(D,f(D,D))) -> f(B,f(f(B,A),f(C,B)))
% Current number of equations to process: 2697
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced : [546] f(f(B,A),f(f(f(A,A),C),f(D,f(D,D)))) -> f(f(A,A),C)
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [547] f(f(f(C,f(B,A)),B),f(D,f(D,D))) -> f(f(B,A),f(f(C,f(B,A)),B))
% Current number of equations to process: 2697
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [548] f(f(f(C,f(B,A)),A),f(D,f(D,D))) -> f(f(B,A),f(f(C,f(B,A)),A))
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [549] f(f(B,f(f(B,A),C)),f(D,f(D,D))) -> f(f(B,A),f(B,f(f(B,A),C)))
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [550] f(f(f(B,f(A,f(A,f(C,f(C,C))))),D),B) -> f(B,f(A,f(A,A)))
% Current number of equations to process: 2694
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [551] f(f(B,f(C,f(B,A))),f(D,f(D,D))) -> f(f(B,A),f(B,f(C,f(B,A))))
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [552] f(f(A,f(f(B,A),C)),f(D,f(D,D))) -> f(f(B,A),f(A,f(f(B,A),C)))
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [553] f(f(A,f(C,f(B,A))),f(D,f(D,D))) -> f(f(B,A),f(A,f(C,f(B,A))))
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [554] f(f(f(B,f(c,f(c,c))),A),f(f(C,B),f(C,B))) -> f(C,B)
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [555] f(C,f(B,f(B,B))) <-> f(f(f(f(B,f(B,B)),f(B,f(B,B))),A),C)
% Current number of equations to process: 2689
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [556] f(f(f(f(B,f(B,B)),f(B,f(B,B))),A),C) <-> f(C,f(B,f(B,B)))
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced : [557] f(f(f(B,f(A,f(A,A))),C),f(f(D,B),f(D,B))) -> f(D,B)
% Rule [554] f(f(f(B,f(c,f(c,c))),A),f(f(C,B),f(C,B))) -> f(C,B) collapsed.
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced : [558] f(f(f(B,A),f(B,A)),f(C,f(B,B))) -> f(B,A)
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced : [559] f(f(B,f(A,A)),f(f(A,C),f(D,f(D,D)))) -> f(A,C)
% Current number of equations to process: 2719
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced : [560] f(B,f(f(B,f(A,f(C,C))),f(C,B))) -> f(B,f(A,f(C,C)))
% Current number of equations to process: 2719
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced : [561] f(f(B,A),f(f(C,f(B,B)),f(c,f(c,c)))) -> f(C,f(B,B))
% Current number of equations to process: 2722
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [562] f(f(f(B,f(A,A)),f(B,f(A,A))),f(A,C)) -> f(B,f(A,A))
% Current number of equations to process: 2721
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [563] f(f(B,A),f(f(C,f(B,B)),f(D,f(D,D)))) -> f(C,f(B,B))
% Rule [561] f(f(B,A),f(f(C,f(B,B)),f(c,f(c,c)))) -> f(C,f(B,B)) collapsed.
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [564] f(f(f(B,f(A,f(C,C))),D),f(f(C,B),f(C,B))) -> f(C,B)
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced : [565] f(f(B,f(A,f(C,f(D,D)))),f(f(D,A),f(D,A))) -> f(D,A)
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [566] f(f(f(B,A),f(B,A)),f(f(B,B),C)) -> f(B,A)
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [567] f(B,f(f(B,f(A,C)),f(f(A,A),B))) -> f(B,f(A,C))
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced : [568] f(f(f(B,B),A),f(f(B,C),f(c,f(c,c)))) -> f(B,C)
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced : [569] f(f(f(B,B),A),f(f(B,C),f(D,f(D,D)))) -> f(B,C)
% Rule [568] f(f(f(B,B),A),f(f(B,C),f(c,f(c,c)))) -> f(B,C) collapsed.
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced : [570] f(f(B,A),f(B,A)) <-> f(f(B,A),f(A,B))
% Current number of equations to process: 2771
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced : [571] f(f(B,A),f(A,B)) <-> f(f(B,A),f(B,A))
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [572] f(f(B,A),f(A,B)) <-> f(f(A,B),f(A,B))
% Current number of equations to process: 2772
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced : [573] f(f(A,B),f(A,B)) <-> f(f(B,A),f(A,B))
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced : [574] f(f(f(B,A),f(B,A)),f(f(A,B),C)) -> f(B,A)
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [575] f(B,f(f(B,f(A,C)),f(f(C,A),B))) -> f(B,f(A,C))
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced : [576] f(f(B,A),f(A,B)) <-> f(f(A,B),f(C,f(C,C)))
% Current number of equations to process: 2805
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced : [577] f(f(A,B),f(C,f(C,C))) <-> f(f(B,A),f(A,B))
% Rule [547] f(f(f(C,f(B,A)),B),f(D,f(D,D))) -> f(f(B,A),f(f(C,f(B,A)),B))
% collapsed.
% Rule [548] f(f(f(C,f(B,A)),A),f(D,f(D,D))) -> f(f(B,A),f(f(C,f(B,A)),A))
% collapsed.
% Current number of equations to process: 2807
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced : [578] f(f(f(B,A),C),f(f(A,B),f(c,f(c,c)))) -> f(A,B)
% Current number of equations to process: 2806
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced : [579] f(f(f(B,A),C),f(f(A,B),f(D,f(D,D)))) -> f(A,B)
% Rule [578] f(f(f(B,A),C),f(f(A,B),f(c,f(c,c)))) -> f(A,B) collapsed.
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced : [580] f(f(B,A),f(f(A,f(A,A)),f(f(B,A),C))) -> f(f(B,A),C)
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced : [581] f(f(B,A),f(f(f(B,B),C),f(D,f(D,D)))) -> f(f(B,B),C)
% Current number of equations to process: 2803
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced : [582] f(f(B,A),f(f(f(A,B),C),f(D,f(D,D)))) -> f(f(A,B),C)
% Current number of equations to process: 2802
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced : [583] f(f(B,A),f(f(C,f(A,B)),f(C,f(A,B)))) -> f(C,f(A,B))
% Current number of equations to process: 2801
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced : [584] f(f(f(B,f(c,f(c,c))),A),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 2802
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced : [585] f(f(f(B,f(A,f(A,A))),C),f(f(B,D),f(B,D))) -> f(B,D)
% Rule [584] f(f(f(B,f(c,f(c,c))),A),f(f(B,C),f(B,C))) -> f(B,C) collapsed.
% Current number of equations to process: 2801
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced : [586] f(f(f(c,f(c,c)),f(f(B,B),A)),f(B,C)) -> f(f(B,B),A)
% Current number of equations to process: 2801
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [587] f(f(A,f(A,A)),f(f(f(B,B),A),C)) <-> f(f(B,f(B,B)),f(f(f(B,B),A),C))
% Current number of equations to process: 2879
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [588] f(f(B,f(B,B)),f(f(f(B,B),A),C)) <-> f(f(A,f(A,A)),f(f(f(B,B),A),C))
% Current number of equations to process: 2879
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [589] f(B,f(f(B,f(A,A)),f(B,f(A,f(c,f(c,c)))))) -> f(B,f(A,A))
% Current number of equations to process: 2878
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [590] f(f(A,f(A,A)),f(f(f(B,B),A),f(f(B,f(c,f(c,c))),A))) -> f(f(B,B),A)
% Current number of equations to process: 2877
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [591] f(B,f(f(B,f(A,C)),f(f(f(D,f(A,C)),A),B))) -> f(B,f(A,C))
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [592] f(B,f(f(B,f(A,C)),f(f(f(D,f(A,C)),C),B))) -> f(B,f(A,C))
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [593] f(B,f(f(B,f(A,C)),f(f(A,f(f(A,C),D)),B))) -> f(B,f(A,C))
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [594] f(B,f(f(B,f(A,A)),f(f(A,f(C,f(C,C))),B))) -> f(B,f(A,A))
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [595] f(B,f(f(B,f(A,C)),f(B,f(f(D,f(A,C)),C)))) -> f(B,f(A,C))
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [596] f(B,f(f(B,f(A,C)),f(B,f(A,f(f(A,C),D))))) -> f(B,f(A,C))
% Current number of equations to process: 2870
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [597] f(B,f(f(B,f(A,C)),f(B,f(f(D,f(A,C)),A)))) -> f(B,f(A,C))
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [598] f(B,f(f(B,f(A,C)),f(B,f(C,f(f(A,C),D))))) -> f(B,f(A,C))
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced : [599] f(f(f(f(B,f(B,B)),f(f(A,f(B,C)),C)),D),f(C,C)) -> C
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced : [600] f(f(B,f(f(A,f(A,A)),f(f(C,f(A,D)),D))),f(D,D)) -> D
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced : [601] f(f(B,B),f(f(f(A,f(A,A)),f(f(C,f(A,B)),B)),D)) -> B
% Current number of equations to process: 2864
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [602] f(f(B,f(B,B)),f(f(A,f(B,C)),C)) <-> f(f(C,f(C,C)),f(f(A,f(B,C)),C))
% Current number of equations to process: 2863
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [603] f(f(C,f(C,C)),f(f(A,f(B,C)),C)) <-> f(f(B,f(B,B)),f(f(A,f(B,C)),C))
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced : [604] f(f(B,B),f(A,f(f(B,f(B,B)),f(f(C,f(B,D)),B)))) -> B
% Current number of equations to process: 2862
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced : [605] f(f(f(f(B,f(B,B)),f(A,f(f(A,B),C))),D),f(A,A)) -> A
% Current number of equations to process: 2861
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced : [606] f(f(B,f(f(A,f(A,A)),f(C,f(f(C,A),D)))),f(C,C)) -> C
% Current number of equations to process: 2860
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [607] f(f(B,f(f(A,C),f(D,f(f(V_4,C),f(C,V_5))))),f(C,C)) -> C
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [608] f(f(B,f(f(A,C),f(f(f(D,C),f(V_4,C)),V_5))),f(C,C)) -> C
% Current number of equations to process: 2858
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [609] f(f(B,f(f(A,C),f(f(f(C,D),f(C,V_4)),V_5))),f(C,C)) -> C
% Current number of equations to process: 2857
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [610] f(f(B,f(f(f(f(A,C),f(C,D)),V_4),f(C,V_5))),f(C,C)) -> C
% Current number of equations to process: 2856
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [611] f(f(B,f(f(A,f(f(C,D),f(D,V_4))),f(D,V_5))),f(D,D)) -> D
% Current number of equations to process: 2855
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [612] f(f(B,f(f(f(f(A,C),f(D,C)),V_4),f(C,V_5))),f(C,C)) -> C
% Current number of equations to process: 2854
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [613] f(f(B,f(f(f(f(A,C),f(A,D)),V_4),f(A,V_5))),f(A,A)) -> A
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [614] f(f(f(f(f(f(B,A),f(A,C)),D),f(V_4,A)),V_5),f(A,A)) -> A
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [615] f(f(f(f(B,f(f(A,C),f(C,D))),f(V_4,C)),V_5),f(C,C)) -> C
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [616] f(f(f(f(f(f(B,A),f(C,A)),D),f(V_4,A)),V_5),f(A,A)) -> A
% Current number of equations to process: 2850
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [617] f(f(f(f(f(f(B,A),f(B,C)),D),f(V_4,B)),V_5),f(B,B)) -> B
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [618] f(B,f(f(B,f(A,C)),f(f(A,f(D,f(A,C))),B))) -> f(B,f(A,C))
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [619] f(B,f(f(B,f(A,C)),f(f(C,f(f(A,C),D)),B))) -> f(B,f(A,C))
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [620] f(B,f(f(B,f(A,C)),f(f(C,f(D,f(A,C))),B))) -> f(B,f(A,C))
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [621] f(f(C,f(C,C)),f(f(B,A),f(A,B))) <-> f(f(f(B,A),f(A,B)),f(f(B,A),C))
% Current number of equations to process: 2842
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [622] f(f(f(B,A),f(A,B)),f(f(B,A),C)) <-> f(f(C,f(C,C)),f(f(B,A),f(A,B)))
% Current number of equations to process: 2842
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [623] f(f(B,B),f(f(f(A,B),f(C,f(f(D,B),f(B,V_4)))),V_5)) -> B
% Current number of equations to process: 2841
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [624] f(f(B,B),f(f(f(A,B),f(f(f(C,B),f(D,B)),V_4)),V_5)) -> B
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [625] f(f(B,B),f(f(f(A,B),f(f(f(B,C),f(B,D)),V_4)),V_5)) -> B
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [626] f(f(B,B),f(f(f(f(f(A,B),f(B,C)),D),f(B,V_4)),V_5)) -> B
% Current number of equations to process: 2837
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [627] f(f(B,B),f(f(f(A,f(f(C,B),f(B,D))),f(B,V_4)),V_5)) -> B
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [628] f(f(B,B),f(f(f(f(f(A,B),f(C,B)),D),f(B,V_4)),V_5)) -> B
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [629] f(f(B,B),f(f(f(f(f(B,A),f(B,C)),D),f(B,V_4)),V_5)) -> B
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [630] f(f(f(f(B,A),f(C,f(f(D,A),f(V_4,A)))),V_5),f(A,A)) -> A
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [631] f(f(f(f(B,A),f(C,f(f(D,B),f(B,V_4)))),V_5),f(B,B)) -> B
% Current number of equations to process: 2965
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [632] f(f(f(f(B,A),f(C,f(f(A,D),f(A,V_4)))),V_5),f(A,A)) -> A
% Current number of equations to process: 2965
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [633] f(f(f(f(B,A),f(f(f(C,B),f(D,B)),V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 3024
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [634] f(f(f(f(B,A),f(f(f(A,C),f(D,A)),V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [635] f(f(f(f(B,f(f(A,C),f(D,C))),f(C,V_4)),V_5),f(C,C)) -> C
% Current number of equations to process: 3166
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [636] f(f(f(f(B,f(f(A,C),f(A,D))),f(A,V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [637] f(f(f(f(f(f(B,A),f(C,B)),D),f(B,V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 3224
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [638] f(f(f(A,f(A,A)),f(f(B,A),f(C,A))),f(C,A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [639] f(f(A,f(A,A)),f(f(A,f(A,A)),f(f(B,f(A,C)),A))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 3224
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [640] f(f(B,f(A,A)),f(f(A,A),B)) <-> f(f(c,f(c,c)),f(B,f(A,A)))
% Current number of equations to process: 3230
% Current number of ordered equations: 1
% Current number of rules: 350
% New rule produced :
% [641] f(f(c,f(c,c)),f(B,f(A,A))) <-> f(f(B,f(A,A)),f(f(A,A),B))
% Current number of equations to process: 3230
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [642] f(f(C,f(C,C)),f(B,f(A,f(C,B)))) <-> f(f(B,f(A,f(C,B))),f(C,B))
% Current number of equations to process: 3242
% Current number of ordered equations: 1
% Current number of rules: 352
% New rule produced :
% [643] f(f(B,f(A,f(C,B))),f(C,B)) <-> f(f(C,f(C,C)),f(B,f(A,f(C,B))))
% Current number of equations to process: 3242
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [644] f(f(B,f(A,C)),f(f(C,C),B)) <-> f(f(c,f(c,c)),f(B,f(A,C)))
% Rule [640] f(f(B,f(A,A)),f(f(A,A),B)) <-> f(f(c,f(c,c)),f(B,f(A,A)))
% collapsed.
% Current number of equations to process: 3339
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [645] f(f(c,f(c,c)),f(B,f(A,C))) <-> f(f(B,f(A,C)),f(f(C,C),B))
% Rule [641] f(f(c,f(c,c)),f(B,f(A,A))) <-> f(f(B,f(A,A)),f(f(A,A),B))
% collapsed.
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [646] f(f(B,f(A,f(C,C))),f(C,B)) <-> f(f(C,f(C,C)),f(B,f(A,f(C,C))))
% Current number of equations to process: 3339
% Current number of ordered equations: 1
% Current number of rules: 354
% New rule produced :
% [647] f(f(C,f(C,C)),f(B,f(A,f(C,C)))) <-> f(f(B,f(A,f(C,C))),f(C,B))
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [648] f(f(B,f(A,C)),f(f(A,A),B)) <-> f(f(c,f(c,c)),f(B,f(A,C)))
% Current number of equations to process: 3342
% Current number of ordered equations: 1
% Current number of rules: 356
% New rule produced :
% [649] f(f(c,f(c,c)),f(B,f(A,C))) <-> f(f(B,f(A,C)),f(f(A,A),B))
% Current number of equations to process: 3342
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [650] f(f(B,f(A,C)),f(f(C,A),B)) <-> f(f(c,f(c,c)),f(B,f(A,C)))
% Current number of equations to process: 3343
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [651] f(f(c,f(c,c)),f(B,f(A,C))) <-> f(f(B,f(A,C)),f(f(C,A),B))
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced : [652] f(f(f(f(B,f(B,B)),f(A,f(f(B,A),C))),D),f(A,A)) -> A
% Current number of equations to process: 3345
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [653] f(f(C,f(C,C)),f(f(A,f(A,A)),f(f(B,f(A,C)),C))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [654] f(f(B,f(f(A,C),f(f(f(D,A),f(A,V_4)),V_5))),f(A,A)) -> A
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [655] f(f(B,B),f(A,f(f(C,B),f(f(f(D,B),f(B,V_4)),V_5)))) -> B
% Current number of equations to process: 3441
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced : [656] f(B,f(f(A,B),f(B,A))) -> f(A,B)
% Current number of equations to process: 3454
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced : [657] f(B,f(f(A,B),f(B,f(f(C,A),f(A,D))))) -> f(A,B)
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced : [658] f(B,f(f(A,f(A,A)),f(f(A,A),B))) -> f(f(A,A),B)
% Current number of equations to process: 3476
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced : [659] f(B,f(f(A,B),f(f(f(C,A),f(A,D)),B))) -> f(A,B)
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced : [660] f(B,f(f(A,B),f(f(f(C,A),f(D,A)),B))) -> f(A,B)
% Current number of equations to process: 3491
% Current number of ordered equations: 0
% Current number of rules: 368
% Rule [350] f(f(f(B,A),f(C,A)),A) -> f(f(A,f(A,A)),f(f(B,A),f(C,A))) is composed into 
% [350] f(f(f(B,A),f(C,A)),A) -> f(A,f(f(B,A),f(C,A)))
% New rule produced :
% [661] f(f(B,f(B,B)),f(f(A,B),f(C,B))) -> f(B,f(f(A,B),f(C,B)))
% Rule [496] f(f(A,f(A,A)),f(f(A,f(A,A)),f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% collapsed.
% Rule [500] f(f(C,f(C,C)),f(f(A,f(A,A)),f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% collapsed.
% Rule [590] f(f(A,f(A,A)),f(f(f(B,B),A),f(f(B,f(c,f(c,c))),A))) -> f(f(B,B),A)
% collapsed.
% Rule [638] f(f(f(A,f(A,A)),f(f(B,A),f(C,A))),f(C,A)) -> f(f(B,A),f(C,A))
% collapsed.
% Current number of equations to process: 3635
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced : [662] f(f(A,f(f(B,A),f(C,A))),f(C,A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [663] f(A,f(f(A,B),f(A,C))) <-> f(f(B,f(B,B)),f(f(A,B),f(A,C)))
% Current number of equations to process: 3633
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [664] f(f(B,f(B,B)),f(f(A,B),f(A,C))) <-> f(A,f(f(A,B),f(A,C)))
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced : [665] f(B,f(f(B,A),f(B,f(f(B,A),C)))) -> f(B,f(f(B,A),C))
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced : [666] f(f(B,A),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced : [667] f(f(B,A),f(B,f(f(B,A),f(B,C)))) -> f(f(B,A),f(B,C))
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced : [668] f(B,f(f(A,B),f(B,f(f(A,B),C)))) -> f(B,f(f(A,B),C))
% Current number of equations to process: 3640
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced : [669] f(B,f(A,f(B,f(f(C,f(D,f(D,D))),C)))) -> f(B,B)
% Rule [433] f(B,f(A,f(B,f(f(C,f(c,f(c,c))),C)))) -> f(B,B) collapsed.
% Current number of equations to process: 3750
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced : [670] f(B,f(f(A,B),f(f(C,f(A,B)),B))) -> f(f(C,f(A,B)),B)
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced : [671] f(f(B,f(f(B,A),f(B,C))),f(B,C)) -> f(f(B,A),f(B,C))
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced : [672] f(B,f(f(B,A),f(f(C,f(B,A)),B))) -> f(f(C,f(B,A)),B)
% Current number of equations to process: 3818
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced : [673] f(f(B,A),f(A,f(f(C,A),f(B,A)))) -> f(f(C,A),f(B,A))
% Current number of equations to process: 3825
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced : [674] f(f(B,A),f(B,f(f(B,C),f(B,A)))) -> f(f(B,C),f(B,A))
% Current number of equations to process: 3824
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [675] f(B,f(f(A,B),f(B,C))) <-> f(f(C,f(C,C)),f(f(A,B),f(B,C)))
% Current number of equations to process: 3860
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [676] f(f(C,f(C,C)),f(f(A,B),f(B,C))) <-> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 3860
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced : [677] f(f(B,B),f(f(f(B,A),f(C,f(C,C))),D)) -> B
% Rule [430] f(f(B,B),f(f(f(B,A),f(c,f(c,c))),C)) -> B collapsed.
% Current number of equations to process: 4033
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced : [678] f(f(B,f(c,f(c,c))),f(f(f(B,A),f(B,C)),D)) -> B
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced : [679] f(f(B,f(A,f(A,A))),f(f(f(B,C),f(B,D)),V_4)) -> B
% Rule [678] f(f(B,f(c,f(c,c))),f(f(f(B,A),f(B,C)),D)) -> B collapsed.
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [680] f(f(A,f(A,A)),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [681] f(f(C,f(C,C)),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 4149
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [682] f(B,f(f(B,f(B,B)),f(f(A,f(B,C)),B))) -> f(f(A,f(B,C)),B)
% Current number of equations to process: 4148
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [683] f(B,f(f(A,f(A,A)),f(f(C,f(A,B)),B))) -> f(f(C,f(A,B)),B)
% Current number of equations to process: 4146
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [684] f(B,f(f(A,f(A,A)),f(f(f(C,B),A),B))) -> f(f(f(C,B),A),B)
% Current number of equations to process: 4145
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [685] f(B,f(f(A,f(A,A)),f(f(f(B,C),A),B))) -> f(f(f(B,C),A),B)
% Current number of equations to process: 4144
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [686] f(f(B,C),f(f(A,f(B,C)),C)) <-> f(f(B,f(B,B)),f(f(A,f(B,C)),C))
% Current number of equations to process: 4143
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced :
% [687] f(f(B,f(B,B)),f(f(A,f(B,C)),C)) <-> f(f(B,C),f(f(A,f(B,C)),C))
% Current number of equations to process: 4143
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [688] f(f(A,B),f(A,f(f(A,B),C))) <-> f(f(B,f(B,B)),f(A,f(f(A,B),C)))
% Current number of equations to process: 4142
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [689] f(f(B,f(B,B)),f(A,f(f(A,B),C))) <-> f(f(A,B),f(A,f(f(A,B),C)))
% Current number of equations to process: 4142
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [690] f(f(B,C),f(f(A,f(B,C)),B)) <-> f(f(B,f(B,B)),f(f(A,f(B,C)),B))
% Current number of equations to process: 4141
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [691] f(f(B,f(B,B)),f(f(A,f(B,C)),B)) <-> f(f(B,C),f(f(A,f(B,C)),B))
% Current number of equations to process: 4141
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [692] f(f(B,A),f(A,f(f(B,A),C))) <-> f(f(B,f(B,B)),f(A,f(f(B,A),C)))
% Current number of equations to process: 4140
% Current number of ordered equations: 1
% Current number of rules: 393
% New rule produced :
% [693] f(f(B,f(B,B)),f(A,f(f(B,A),C))) <-> f(f(B,A),f(A,f(f(B,A),C)))
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [694] f(f(A,f(A,A)),f(A,f(f(B,A),f(A,C)))) -> f(f(B,A),f(A,C))
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [695] f(f(C,f(C,C)),f(A,f(f(B,A),f(A,C)))) -> f(f(B,A),f(A,C))
% Current number of equations to process: 4137
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [696] f(f(B,f(B,B)),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 4136
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [697] f(f(B,f(B,B)),f(A,f(f(A,B),f(A,C)))) -> f(f(A,B),f(A,C))
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [698] f(f(f(B,f(B,B)),f(f(f(A,C),B),A)),A) -> f(f(f(A,C),B),A)
% Current number of equations to process: 4134
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [699] f(f(f(B,f(B,B)),f(f(f(A,C),B),C)),C) -> f(f(f(A,C),B),C)
% Current number of equations to process: 4133
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced : [700] f(f(f(B,A),f(B,A)),f(f(f(f(B,A),C),A),D)) -> f(B,A)
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced : [701] f(f(f(B,A),f(B,A)),f(f(f(f(B,A),C),B),D)) -> f(B,A)
% Current number of equations to process: 4131
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced : [702] f(f(f(B,f(A,A)),f(B,f(A,A))),f(C,A)) -> f(B,f(A,A))
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced : [703] f(f(f(B,A),f(B,A)),f(C,f(A,A))) -> f(B,A)
% Current number of equations to process: 4165
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced : [704] f(f(f(B,f(A,C)),f(B,f(A,C))),f(C,A)) -> f(B,f(A,C))
% Current number of equations to process: 4165
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced : [705] f(f(f(B,A),f(B,A)),f(f(A,f(C,f(B,B))),D)) -> f(B,A)
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced : [706] f(f(f(f(B,f(A,A)),C),D),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 4248
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [707] f(A,f(f(f(B,B),A),f(f(B,f(c,f(c,c))),A))) -> f(f(B,B),A)
% Current number of equations to process: 4373
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [708] f(B,f(f(f(A,A),B),f(f(A,f(C,f(C,C))),B))) -> f(f(A,A),B)
% Rule [707] f(A,f(f(f(B,B),A),f(f(B,f(c,f(c,c))),A))) -> f(f(B,B),A)
% collapsed.
% Current number of equations to process: 4372
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [709] f(B,f(f(B,f(A,A)),f(B,f(A,f(C,f(C,C)))))) -> f(B,f(A,A))
% Rule [589] f(B,f(f(B,f(A,A)),f(B,f(A,f(c,f(c,c)))))) -> f(B,f(A,A))
% collapsed.
% Current number of equations to process: 4371
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced : [710] f(f(B,B),f(f(f(A,f(A,A)),f(B,f(f(B,A),C))),D)) -> B
% Current number of equations to process: 4370
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [711] f(f(f(f(B,A),f(f(f(B,C),f(B,D)),V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 4369
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [712] f(f(B,f(f(C,A),f(A,D))),f(B,A)) -> f(f(B,A),f(B,f(f(C,A),f(A,D))))
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [713] f(f(f(f(C,B),f(B,D)),A),f(B,A)) -> f(f(B,A),f(f(f(C,B),f(B,D)),A))
% Current number of equations to process: 4367
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [714] f(f(B,B),f(f(f(B,A),f(f(f(C,B),f(B,D)),V_4)),V_5)) -> B
% Current number of equations to process: 4422
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [715] f(f(f(B,f(B,B)),f(A,f(f(B,A),C))),A) -> f(A,f(f(B,A),C))
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [716] f(f(A,f(A,A)),f(f(f(A,C),B),C)) <-> f(f(B,f(B,B)),f(f(f(A,C),B),C))
% Current number of equations to process: 4705
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [717] f(f(B,f(B,B)),f(f(f(A,C),B),C)) <-> f(f(A,f(A,A)),f(f(f(A,C),B),C))
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [718] f(f(A,f(A,A)),f(f(f(A,C),B),A)) <-> f(f(B,f(B,B)),f(f(f(A,C),B),A))
% Current number of equations to process: 4704
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [719] f(f(B,f(B,B)),f(f(f(A,C),B),A)) <-> f(f(A,f(A,A)),f(f(f(A,C),B),A))
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [720] f(f(f(B,A),f(B,f(f(C,A),f(A,D)))),A) -> f(B,A)
% Current number of equations to process: 4719
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [721] f(f(c,f(c,c)),f(f(A,f(A,A)),f(B,f(f(B,A),C)))) -> f(B,f(f(B,A),C))
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [722] f(f(c,f(c,c)),f(f(B,f(B,B)),f(A,f(f(B,A),C)))) -> f(A,f(f(B,A),C))
% Current number of equations to process: 4768
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [723] f(f(f(f(B,f(A,A)),f(C,f(A,f(c,f(c,c))))),V_4),A) -> f(A,A)
% Current number of equations to process: 4767
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [724] f(f(A,f(A,A)),f(f(A,f(A,A)),f(f(B,f(A,C)),C))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 4766
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced : [725] f(f(f(B,A),f(f(f(C,A),f(A,D)),B)),A) -> f(B,A)
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced : [726] f(f(f(B,A),f(f(f(C,A),f(D,A)),B)),A) -> f(B,A)
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced : [727] f(f(f(B,A),f(f(f(A,C),f(A,D)),B)),A) -> f(B,A)
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [728] f(f(B,f(A,f(C,B))),f(C,B)) <-> f(f(c,f(c,c)),f(B,f(A,f(C,B))))
% Rule [662] f(f(A,f(f(B,A),f(C,A))),f(C,A)) -> f(f(B,A),f(C,A)) collapsed.
% Current number of equations to process: 4930
% Current number of ordered equations: 1
% Current number of rules: 426
% New rule produced :
% [729] f(f(c,f(c,c)),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 4929
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [730] f(f(c,f(c,c)),f(B,f(A,f(C,B)))) <-> f(f(B,f(A,f(C,B))),f(C,B))
% Current number of equations to process: 4929
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [731] f(f(B,f(A,f(B,C))),f(B,C)) <-> f(f(c,f(c,c)),f(B,f(A,f(B,C))))
% Rule [251] f(f(A,f(f(B,A),f(A,C))),f(A,C)) -> f(f(B,A),f(A,C)) collapsed.
% Rule [671] f(f(B,f(f(B,A),f(B,C))),f(B,C)) -> f(f(B,A),f(B,C)) collapsed.
% Current number of equations to process: 4931
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [732] f(f(c,f(c,c)),f(A,f(f(B,A),f(A,C)))) -> f(f(B,A),f(A,C))
% Current number of equations to process: 4930
% Current number of ordered equations: 1
% Current number of rules: 428
% New rule produced :
% [733] f(f(c,f(c,c)),f(B,f(f(B,A),f(B,C)))) -> f(f(B,A),f(B,C))
% Current number of equations to process: 4929
% Current number of ordered equations: 1
% Current number of rules: 429
% New rule produced :
% [734] f(f(c,f(c,c)),f(B,f(A,f(B,C)))) <-> f(f(B,f(A,f(B,C))),f(B,C))
% Current number of equations to process: 4929
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced : [735] f(f(B,B),f(f(A,f(A,A)),f(f(B,A),f(C,B)))) -> B
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced : [736] f(f(A,f(A,A)),f(B,f(C,f(C,C)))) -> B
% Rule [418] f(f(c,f(c,c)),f(B,f(c,f(c,c)))) -> B collapsed.
% Rule [525] f(f(A,f(A,A)),f(f(B,A),f(B,f(B,B)))) -> f(B,A) collapsed.
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced : [737] f(A,f(f(B,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B))
% Rule [315] f(B,f(f(c,f(c,c)),f(c,f(c,c)))) -> f(c,f(c,c)) collapsed.
% Rule [400] f(f(B,A),f(f(C,f(C,C)),f(C,f(C,C)))) -> f(C,f(C,C)) collapsed.
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 429
% Rule [555] f(C,f(B,f(B,B))) <-> f(f(f(f(B,f(B,B)),f(B,f(B,B))),A),C) is composed into 
% [555] f(C,f(B,f(B,B))) <-> f(f(B,f(B,B)),C)
% New rule produced : [738] f(f(f(B,f(B,B)),f(B,f(B,B))),A) -> f(B,f(B,B))
% Rule [318] f(f(f(c,f(c,c)),f(c,f(c,c))),B) -> f(c,f(c,c)) collapsed.
% Rule [484] f(f(f(B,f(B,B)),f(B,f(B,B))),f(A,C)) -> f(B,f(B,B)) collapsed.
% Rule [556] f(f(f(f(B,f(B,B)),f(B,f(B,B))),A),C) <-> f(C,f(B,f(B,B)))
% collapsed.
% Current number of equations to process: 3031
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced : [739] f(f(B,A),f(A,f(f(C,f(D,f(D,D))),C))) -> A
% Rule [431] f(f(B,A),f(A,f(f(C,f(c,f(c,c))),C))) -> A collapsed.
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 427
% Rule [712] f(f(B,f(f(C,A),f(A,D))),f(B,A)) -> f(f(B,A),f(B,f(f(C,A),f(A,D)))) is composed into 
% [712] f(f(B,f(f(C,A),f(A,D))),f(B,A)) -> f(f(B,A),f(B,A))
% New rule produced : [740] f(f(B,A),f(B,f(f(C,A),f(A,D)))) -> f(f(B,A),f(B,A))
% Rule [170] f(B,f(f(B,A),f(B,f(f(C,A),f(A,D))))) -> f(B,A) collapsed.
% Rule [720] f(f(f(B,A),f(B,f(f(C,A),f(A,D)))),A) -> f(B,A) collapsed.
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 426
% Rule [713] f(f(f(f(C,B),f(B,D)),A),f(B,A)) -> f(f(B,A),f(f(f(C,B),f(B,D)),A)) is composed into 
% [713] f(f(f(f(C,B),f(B,D)),A),f(B,A)) -> f(f(B,A),f(B,A))
% New rule produced : [741] f(f(B,A),f(f(f(C,B),f(B,D)),A)) -> f(f(B,A),f(B,A))
% Rule [258] f(B,f(f(B,A),f(f(f(C,B),f(B,D)),A))) -> f(B,A) collapsed.
% Rule [284] f(f(f(B,A),f(f(f(C,B),f(B,D)),A)),B) -> f(B,A) collapsed.
% Rule [659] f(B,f(f(A,B),f(f(f(C,A),f(A,D)),B))) -> f(A,B) collapsed.
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [742] f(f(B,A),f(B,A)) <-> f(f(B,A),f(A,f(f(C,B),f(B,D))))
% Current number of equations to process: 3059
% Current number of ordered equations: 1
% Current number of rules: 425
% New rule produced :
% [743] f(f(B,A),f(A,f(f(C,B),f(B,D)))) <-> f(f(B,A),f(B,A))
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced : [744] f(f(f(B,A),f(f(f(B,C),f(B,D)),A)),B) -> f(B,A)
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced : [745] f(f(B,B),f(f(A,f(A,A)),f(C,f(C,C)))) -> f(A,f(A,A))
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced : [746] f(f(f(f(C,B),f(D,B)),A),f(B,A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 3160
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced : [747] f(f(B,A),f(f(f(C,B),f(D,B)),A)) -> f(f(B,A),f(B,A))
% Rule [285] f(B,f(f(B,A),f(f(f(C,B),f(D,B)),A))) -> f(B,A) collapsed.
% Rule [450] f(f(f(B,A),f(f(f(C,B),f(D,B)),A)),B) -> f(B,A) collapsed.
% Rule [660] f(B,f(f(A,B),f(f(f(C,A),f(D,A)),B))) -> f(A,B) collapsed.
% Current number of equations to process: 3172
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced : [748] f(f(B,f(f(A,f(C,C)),f(c,f(c,c)))),C) -> f(C,C)
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced : [749] f(B,f(A,f(f(C,f(B,B)),f(D,f(B,B))))) -> f(B,B)
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced : [750] f(f(B,f(f(A,f(C,C)),f(D,f(D,D)))),C) -> f(C,C)
% Rule [748] f(f(B,f(f(A,f(C,C)),f(c,f(c,c)))),C) -> f(C,C) collapsed.
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced : [751] f(f(B,f(f(f(A,A),C),f(D,f(A,A)))),A) -> f(A,A)
% Current number of equations to process: 3347
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced : [752] f(B,f(A,f(f(f(B,B),C),f(f(B,B),D)))) -> f(B,B)
% Current number of equations to process: 3383
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced : [753] f(B,f(f(f(A,f(B,B)),f(c,f(c,c))),C)) -> f(B,B)
% Current number of equations to process: 3397
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced : [754] f(B,f(f(f(A,f(B,B)),f(C,f(C,C))),D)) -> f(B,B)
% Rule [753] f(B,f(f(f(A,f(B,B)),f(c,f(c,c))),C)) -> f(B,B) collapsed.
% Current number of equations to process: 3396
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced : [755] f(B,f(f(f(f(B,B),A),f(C,f(B,B))),D)) -> f(B,B)
% Current number of equations to process: 3413
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced : [756] f(B,f(f(f(c,f(c,c)),f(f(B,B),A)),C)) -> f(B,B)
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced : [757] f(f(B,f(f(A,f(C,f(C,C))),A)),f(B,D)) -> B
% Rule [428] f(f(B,f(f(A,f(c,f(c,c))),A)),f(B,D)) -> B collapsed.
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced : [758] f(f(B,f(B,B)),f(f(A,f(A,A)),B)) -> B
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced : [759] f(f(f(B,f(B,B)),f(A,f(A,A))),C) -> f(B,f(B,B))
% Rule [738] 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: 3631
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced : [760] f(f(f(B,A),f(C,f(C,C))),f(D,f(B,B))) -> f(B,A)
% Current number of equations to process: 3664
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced : [761] f(B,f(f(B,A),f(B,f(C,f(B,A))))) -> f(B,f(C,f(B,A)))
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced : [762] f(B,f(f(B,A),f(f(C,f(D,f(D,D))),C))) -> f(B,A)
% Rule [436] f(B,f(f(B,A),f(f(C,f(c,f(c,c))),C))) -> f(B,A) collapsed.
% Current number of equations to process: 3662
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced : [763] f(B,f(f(A,B),f(B,f(C,f(A,B))))) -> f(B,f(C,f(A,B)))
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced : [764] f(B,f(f(A,B),f(f(C,f(D,f(D,D))),C))) -> f(A,B)
% Rule [437] f(B,f(f(A,B),f(f(C,f(c,f(c,c))),C))) -> f(A,B) collapsed.
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced : [765] f(B,f(c,f(c,c))) <-> f(f(A,f(A,A)),B)
% Current number of equations to process: 3718
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced : [766] f(f(A,f(A,A)),B) <-> f(B,f(c,f(c,c)))
% Current number of equations to process: 3718
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced : [767] f(f(B,A),f(f(C,f(C,C)),B)) -> B
% Rule [405] f(f(B,A),f(f(c,f(c,c)),B)) -> B collapsed.
% Rule [758] f(f(B,f(B,B)),f(f(A,f(A,A)),B)) -> B collapsed.
% Current number of equations to process: 3719
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced : [768] f(B,f(f(f(A,f(A,A)),B),C)) -> f(B,B)
% Rule [413] f(B,f(f(f(c,f(c,c)),B),C)) -> f(B,B) collapsed.
% Current number of equations to process: 3722
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced : [769] f(B,f(A,f(A,f(C,f(C,C))))) <-> f(f(A,f(A,A)),B)
% Current number of equations to process: 3723
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced : [770] f(f(A,f(A,A)),B) <-> f(B,f(A,f(A,f(C,f(C,C)))))
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced : [771] f(B,f(A,f(f(C,f(C,C)),B))) -> f(B,B)
% Rule [412] f(B,f(A,f(f(c,f(c,c)),B))) -> f(B,B) collapsed.
% Current number of equations to process: 3731
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced : [772] f(f(B,A),f(f(C,f(C,C)),A)) -> A
% Rule [407] f(f(B,A),f(f(c,f(c,c)),A)) -> A collapsed.
% Current number of equations to process: 3746
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced : [773] f(f(f(B,f(B,B)),A),f(A,C)) -> A
% Rule [406] f(f(f(c,f(c,c)),A),f(A,C)) -> A collapsed.
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced : [774] f(B,f(f(A,f(A,A)),f(B,C))) -> f(B,C)
% Rule [414] f(B,f(f(c,f(c,c)),f(B,C))) -> f(B,C) collapsed.
% Rule [498] f(B,f(f(A,f(A,A)),f(B,f(f(B,A),C)))) -> f(B,f(f(B,A),C))
% collapsed.
% Rule [501] f(B,f(f(A,f(A,A)),f(B,f(f(A,B),C)))) -> f(B,f(f(A,B),C))
% collapsed.
% Rule [580] f(f(B,A),f(f(A,f(A,A)),f(f(B,A),C))) -> f(f(B,A),C) collapsed.
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced : [775] f(B,f(f(A,f(A,A)),f(C,B))) -> f(C,B)
% Rule [415] f(B,f(f(c,f(c,c)),f(C,B))) -> f(C,B) collapsed.
% Rule [658] f(B,f(f(A,f(A,A)),f(f(A,A),B))) -> f(f(A,A),B) collapsed.
% Rule [682] f(B,f(f(B,f(B,B)),f(f(A,f(B,C)),B))) -> f(f(A,f(B,C)),B)
% collapsed.
% Rule [683] f(B,f(f(A,f(A,A)),f(f(C,f(A,B)),B))) -> f(f(C,f(A,B)),B)
% collapsed.
% Rule [684] f(B,f(f(A,f(A,A)),f(f(f(C,B),A),B))) -> f(f(f(C,B),A),B)
% collapsed.
% Rule [685] f(B,f(f(A,f(A,A)),f(f(f(B,C),A),B))) -> f(f(f(B,C),A),B)
% collapsed.
% Current number of equations to process: 3747
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced : [776] f(f(B,f(f(A,f(A,A)),C)),C) -> f(C,f(A,f(A,A)))
% Rule [423] f(f(B,f(f(c,f(c,c)),C)),C) -> f(C,f(c,f(c,c))) collapsed.
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced : [777] f(B,f(A,f(A,A))) <-> f(f(c,f(c,c)),B)
% Rule [542] f(f(f(A,B),f(B,C)),f(D,f(D,D))) -> f(B,f(f(A,B),f(B,C)))
% collapsed.
% Rule [543] f(f(f(A,B),f(C,B)),f(D,f(D,D))) -> f(B,f(f(A,B),f(C,B)))
% collapsed.
% Rule [544] f(f(f(B,A),f(B,C)),f(D,f(D,D))) -> f(B,f(f(B,A),f(B,C)))
% collapsed.
% Rule [545] f(f(f(B,A),f(C,B)),f(D,f(D,D))) -> f(B,f(f(B,A),f(C,B)))
% collapsed.
% Rule [546] f(f(B,A),f(f(f(A,A),C),f(D,f(D,D)))) -> f(f(A,A),C) collapsed.
% Rule [549] f(f(B,f(f(B,A),C)),f(D,f(D,D))) -> f(f(B,A),f(B,f(f(B,A),C)))
% collapsed.
% Rule [552] f(f(A,f(f(B,A),C)),f(D,f(D,D))) -> f(f(B,A),f(A,f(f(B,A),C)))
% collapsed.
% Rule [581] f(f(B,A),f(f(f(B,B),C),f(D,f(D,D)))) -> f(f(B,B),C) collapsed.
% Rule [582] f(f(B,A),f(f(f(A,B),C),f(D,f(D,D)))) -> f(f(A,B),C) collapsed.
% Current number of equations to process: 3762
% Current number of ordered equations: 1
% Current number of rules: 425
% New rule produced : [778] f(f(c,f(c,c)),B) <-> f(B,f(A,f(A,A)))
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced : [779] f(C,f(B,f(B,B))) <-> f(f(B,f(B,f(A,f(A,A)))),C)
% Current number of equations to process: 3763
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced : [780] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,f(B,f(B,B)))
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced : [781] f(A,f(A,A)) <-> f(B,f(B,B))
% Rule [402] f(A,f(A,A)) <-> f(c,f(c,c)) collapsed.
% Rule [403] f(c,f(c,c)) <-> f(A,f(A,A)) collapsed.
% Rule
% [587] f(f(A,f(A,A)),f(f(f(B,B),A),C)) <-> f(f(B,f(B,B)),f(f(f(B,B),A),C))
% collapsed.
% Rule
% [588] f(f(B,f(B,B)),f(f(f(B,B),A),C)) <-> f(f(A,f(A,A)),f(f(f(B,B),A),C))
% collapsed.
% Rule
% [602] f(f(B,f(B,B)),f(f(A,f(B,C)),C)) <-> f(f(C,f(C,C)),f(f(A,f(B,C)),C))
% collapsed.
% Rule
% [603] f(f(C,f(C,C)),f(f(A,f(B,C)),C)) <-> f(f(B,f(B,B)),f(f(A,f(B,C)),C))
% collapsed.
% Rule
% [716] f(f(A,f(A,A)),f(f(f(A,C),B),C)) <-> f(f(B,f(B,B)),f(f(f(A,C),B),C))
% collapsed.
% Rule
% [717] f(f(B,f(B,B)),f(f(f(A,C),B),C)) <-> f(f(A,f(A,A)),f(f(f(A,C),B),C))
% collapsed.
% Rule
% [718] f(f(A,f(A,A)),f(f(f(A,C),B),A)) <-> f(f(B,f(B,B)),f(f(f(A,C),B),A))
% collapsed.
% Rule
% [719] f(f(B,f(B,B)),f(f(f(A,C),B),A)) <-> f(f(A,f(A,A)),f(f(f(A,C),B),A))
% collapsed.
% Current number of equations to process: 3769
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced : [782] f(A,f(f(B,f(B,B)),f(C,f(C,C)))) -> f(B,f(B,B))
% Rule [737] f(A,f(f(B,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B)) collapsed.
% Rule [745] f(f(B,B),f(f(A,f(A,A)),f(C,f(C,C)))) -> f(A,f(A,A)) collapsed.
% Current number of equations to process: 3780
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [783] f(f(B,B),f(A,f(f(B,f(B,B)),f(C,B)))) -> B
% Rule [604] f(f(B,B),f(A,f(f(B,f(B,B)),f(f(C,f(B,D)),B)))) -> B collapsed.
% Current number of equations to process: 3779
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [784] f(f(B,f(f(A,f(C,f(C,C))),A)),f(D,B)) -> B
% Rule [432] f(f(B,f(f(A,f(c,f(c,c))),A)),f(D,B)) -> B collapsed.
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [785] f(f(f(B,f(B,B)),A),f(C,A)) -> A
% Rule [408] f(f(f(c,f(c,c)),A),f(C,A)) -> A collapsed.
% Current number of equations to process: 3818
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [786] f(f(c,f(c,c)),f(f(B,f(B,B)),f(B,A))) -> f(B,A)
% Current number of equations to process: 3818
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [787] f(B,f(f(A,f(C,f(C,C))),A)) <-> f(f(f(A,f(C,f(C,C))),A),B)
% Current number of equations to process: 3817
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [788] f(f(f(A,f(C,f(C,C))),A),B) <-> f(B,f(f(A,f(C,f(C,C))),A))
% Current number of equations to process: 3817
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced : [789] f(f(c,f(c,c)),f(f(B,f(B,B)),f(A,B))) -> f(A,B)
% Current number of equations to process: 3816
% Current number of ordered equations: 0
% Current number of rules: 422
% Rule [734] f(f(c,f(c,c)),f(B,f(A,f(B,C)))) <-> f(f(B,f(A,f(B,C))),f(B,C)) is composed into 
% [734] f(f(c,f(c,c)),f(B,f(A,f(B,C)))) <-> f(f(B,C),f(B,f(A,f(B,C))))
% Rule [532] f(f(C,f(C,C)),f(B,f(A,f(B,C)))) <-> f(f(B,f(A,f(B,C))),f(B,C)) is composed into 
% [532] f(f(C,f(C,C)),f(B,f(A,f(B,C)))) <-> f(f(B,C),f(B,f(A,f(B,C))))
% New rule produced :
% [790] f(f(B,f(C,f(B,A))),f(B,A)) -> f(f(B,A),f(B,f(C,f(B,A))))
% Rule [95] f(B,f(f(B,f(A,f(B,C))),f(B,C))) -> f(B,f(A,f(B,C))) collapsed.
% Rule [264] f(f(f(B,f(A,f(B,C))),f(B,C)),B) -> f(B,f(A,f(B,C))) collapsed.
% Rule [276] f(f(f(B,f(A,f(B,C))),f(B,C)),f(A,f(B,C))) -> f(B,f(A,f(B,C)))
% collapsed.
% Rule [531] f(f(B,f(A,f(B,C))),f(B,C)) <-> f(f(C,f(C,C)),f(B,f(A,f(B,C))))
% collapsed.
% Rule [731] f(f(B,f(A,f(B,C))),f(B,C)) <-> f(f(c,f(c,c)),f(B,f(A,f(B,C))))
% collapsed.
% Current number of equations to process: 3816
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [791] f(f(C,f(C,C)),f(f(B,C),f(B,f(A,f(B,C))))) -> f(B,f(A,f(B,C)))
% Current number of equations to process: 3815
% Current number of ordered equations: 0
% Current number of rules: 419
% Rule [730] f(f(c,f(c,c)),f(B,f(A,f(C,B)))) <-> f(f(B,f(A,f(C,B))),f(C,B)) is composed into 
% [730] f(f(c,f(c,c)),f(B,f(A,f(C,B)))) <-> f(f(C,B),f(B,f(A,f(C,B))))
% Rule [642] f(f(C,f(C,C)),f(B,f(A,f(C,B)))) <-> f(f(B,f(A,f(C,B))),f(C,B)) is composed into 
% [642] f(f(C,f(C,C)),f(B,f(A,f(C,B)))) <-> f(f(C,B),f(B,f(A,f(C,B))))
% New rule produced :
% [792] f(f(A,f(C,f(B,A))),f(B,A)) -> f(f(B,A),f(A,f(C,f(B,A))))
% Rule [161] f(B,f(f(B,f(A,f(C,B))),f(C,B))) -> f(B,f(A,f(C,B))) collapsed.
% Rule [266] f(f(f(B,f(A,f(C,B))),f(C,B)),B) -> f(B,f(A,f(C,B))) collapsed.
% Rule [277] f(f(f(B,f(A,f(C,B))),f(C,B)),f(A,f(C,B))) -> f(B,f(A,f(C,B)))
% collapsed.
% Rule [643] f(f(B,f(A,f(C,B))),f(C,B)) <-> f(f(C,f(C,C)),f(B,f(A,f(C,B))))
% collapsed.
% Rule [728] f(f(B,f(A,f(C,B))),f(C,B)) <-> f(f(c,f(c,c)),f(B,f(A,f(C,B))))
% collapsed.
% Current number of equations to process: 3817
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [793] f(B,f(f(B,A),f(C,B))) <-> f(f(c,f(c,c)),f(f(B,A),f(C,B)))
% Current number of equations to process: 3835
% Current number of ordered equations: 1
% Current number of rules: 416
% New rule produced :
% [794] f(f(c,f(c,c)),f(f(B,A),f(C,B))) <-> f(B,f(f(B,A),f(C,B)))
% Current number of equations to process: 3835
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced : [795] f(f(B,A),f(f(c,f(c,c)),f(f(A,A),C))) -> f(f(A,A),C)
% Current number of equations to process: 3834
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [796] f(f(B,A),f(f(c,f(c,c)),f(f(A,B),C))) -> f(f(A,B),C)
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced : [797] f(f(f(c,f(c,c)),f(f(B,B),A)),f(D,B)) -> f(f(B,B),A)
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced : [798] f(f(f(c,f(c,c)),f(f(B,A),C)),f(A,B)) -> f(f(B,A),C)
% Current number of equations to process: 3830
% Current number of ordered equations: 0
% Current number of rules: 421
% Rule [779] f(C,f(B,f(B,B))) <-> f(f(B,f(B,f(A,f(A,A)))),C) is composed into 
% [779] f(C,f(B,f(B,B))) <-> f(f(A,f(A,A)),C)
% Rule [770] f(f(A,f(A,A)),B) <-> f(B,f(A,f(A,f(C,f(C,C))))) is composed into 
% [770] f(f(A,f(A,A)),B) <-> f(B,f(C,f(C,C)))
% Rule [327] f(B,B) <-> f(B,f(A,f(A,f(C,f(C,C))))) is composed into [327]
% f(B,B) <->
% f(B,
% f(C,
% f(C,C)))
% New rule produced : [799] f(A,f(A,f(B,f(B,B)))) -> f(B,f(B,B))
% Rule [326] f(f(B,A),f(B,f(C,f(C,f(D,f(D,D)))))) -> B collapsed.
% Rule [328] f(B,f(A,f(A,f(C,f(C,C))))) <-> f(B,B) collapsed.
% Rule [330] f(f(B,f(A,f(A,f(C,f(C,C))))),f(B,D)) -> B collapsed.
% Rule [339] f(B,f(A,f(B,f(C,f(C,f(D,f(D,D))))))) -> f(B,B) collapsed.
% Rule [340] f(B,f(f(B,f(A,f(A,f(C,f(C,C))))),D)) -> f(B,B) collapsed.
% Rule [343] f(B,f(f(B,A),f(C,f(C,f(D,f(D,D)))))) -> f(B,A) collapsed.
% Rule [348] f(B,f(f(A,B),f(C,f(C,f(D,f(D,D)))))) -> f(A,B) collapsed.
% Rule [373] f(f(B,A),f(A,f(C,f(C,f(D,f(D,D)))))) -> A collapsed.
% Rule [377] f(f(B,f(A,f(A,f(C,f(C,C))))),f(D,B)) -> B collapsed.
% Rule [382] f(f(A,f(A,f(C,f(C,C)))),B) <-> f(B,f(A,f(A,f(C,f(C,C)))))
% collapsed.
% Rule [383] f(B,f(A,f(A,f(C,f(C,C))))) <-> f(f(A,f(A,f(C,f(C,C)))),B)
% collapsed.
% Rule [409] f(B,f(B,f(c,f(c,c)))) -> f(c,f(c,c)) collapsed.
% Rule [550] f(f(f(B,f(A,f(A,f(C,f(C,C))))),D),B) -> f(B,f(A,f(A,A)))
% collapsed.
% Rule [769] f(B,f(A,f(A,f(C,f(C,C))))) <-> f(f(A,f(A,A)),B) collapsed.
% Rule [780] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,f(B,f(B,B))) collapsed.
% Current number of equations to process: 3853
% Current number of ordered equations: 0
% Current number of rules: 407
% Rule [456] f(B,B) <-> f(B,f(f(A,f(C,f(C,C))),A)) is composed into [456]
% f(B,B) <->
% f(B,
% f(c,
% f(c,c)))
% Rule [424] f(C,f(c,f(c,c))) <-> f(f(f(B,f(c,f(c,c))),B),C) is composed into 
% [424] f(C,f(c,f(c,c))) <-> f(f(c,f(c,c)),C)
% Rule [421] f(f(c,f(c,c)),B) <-> f(B,f(f(A,f(c,f(c,c))),A)) is composed into 
% [421] f(f(c,f(c,c)),B) <-> f(B,f(c,f(c,c)))
% New rule produced : [800] f(f(B,f(A,f(A,A))),B) -> f(c,f(c,c))
% Rule [331] f(f(B,A),f(B,f(f(C,f(D,f(D,D))),C))) -> B collapsed.
% Rule [420] f(B,f(f(A,f(c,f(c,c))),A)) <-> f(f(c,f(c,c)),B) collapsed.
% Rule [425] f(f(f(B,f(c,f(c,c))),B),C) <-> f(C,f(c,f(c,c))) collapsed.
% Rule [457] f(B,f(f(A,f(C,f(C,C))),A)) <-> f(B,B) collapsed.
% Rule [464] f(B,f(f(B,f(f(A,f(C,f(C,C))),A)),D)) -> f(B,B) collapsed.
% Rule [508] f(f(f(B,f(f(A,f(c,f(c,c))),A)),D),B) -> f(B,f(c,f(c,c)))
% collapsed.
% Rule [509] f(f(B,f(A,f(f(C,f(c,f(c,c))),C))),A) -> f(A,f(c,f(c,c)))
% collapsed.
% Rule [669] f(B,f(A,f(B,f(f(C,f(D,f(D,D))),C)))) -> f(B,B) collapsed.
% Rule [739] f(f(B,A),f(A,f(f(C,f(D,f(D,D))),C))) -> A collapsed.
% Rule [757] f(f(B,f(f(A,f(C,f(C,C))),A)),f(B,D)) -> B collapsed.
% Rule [762] f(B,f(f(B,A),f(f(C,f(D,f(D,D))),C))) -> f(B,A) collapsed.
% Rule [764] f(B,f(f(A,B),f(f(C,f(D,f(D,D))),C))) -> f(A,B) collapsed.
% Rule [784] f(f(B,f(f(A,f(C,f(C,C))),A)),f(D,B)) -> B collapsed.
% Rule [787] f(B,f(f(A,f(C,f(C,C))),A)) <-> f(f(f(A,f(C,f(C,C))),A),B)
% collapsed.
% Rule [788] f(f(f(A,f(C,f(C,C))),A),B) <-> f(B,f(f(A,f(C,f(C,C))),A))
% collapsed.
% Current number of equations to process: 3926
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced : [801] f(f(f(f(c,f(c,c)),f(B,A)),C),f(B,B)) -> B
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced : [802] f(f(f(f(c,f(c,c)),f(B,f(A,A))),C),A) -> f(A,A)
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced : [803] f(f(B,f(f(c,f(c,c)),f(f(A,A),C))),A) -> f(A,A)
% Current number of equations to process: 3979
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [804] f(f(B,A),f(A,f(f(B,A),C))) <-> f(f(c,f(c,c)),f(A,f(f(B,A),C)))
% Current number of equations to process: 3994
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [805] f(f(c,f(c,c)),f(A,f(f(B,A),C))) <-> f(f(B,A),f(A,f(f(B,A),C)))
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced : [806] f(B,f(f(B,A),f(f(f(C,B),f(c,f(c,c))),A))) -> f(B,A)
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced : [807] f(B,f(f(B,A),f(f(f(C,B),f(D,f(D,D))),A))) -> f(B,A)
% Rule [806] f(B,f(f(B,A),f(f(f(C,B),f(c,f(c,c))),A))) -> f(B,A) collapsed.
% Current number of equations to process: 3989
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced : [808] f(B,f(f(B,A),f(f(f(B,C),f(c,f(c,c))),A))) -> f(B,A)
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced : [809] f(B,f(f(B,A),f(f(f(B,C),f(D,f(D,D))),A))) -> f(B,A)
% Rule [808] f(B,f(f(B,A),f(f(f(B,C),f(c,f(c,c))),A))) -> f(B,A) collapsed.
% Current number of equations to process: 3987
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced : [810] f(B,f(f(B,A),f(A,f(f(B,f(B,B)),f(C,B))))) -> f(B,A)
% Current number of equations to process: 3983
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [811] f(f(f(f(c,f(c,c)),f(B,A)),C),f(A,B)) -> f(f(A,B),f(A,B))
% Current number of equations to process: 3981
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [812] f(f(B,A),f(B,f(f(B,A),C))) <-> f(f(B,f(B,B)),f(B,f(f(B,A),C)))
% Current number of equations to process: 3997
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [813] f(f(B,f(B,B)),f(B,f(f(B,A),C))) <-> f(f(B,A),f(B,f(f(B,A),C)))
% Current number of equations to process: 3997
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [814] f(C,f(f(A,C),f(C,D))) <-> f(f(B,f(B,B)),f(f(A,C),f(C,D)))
% Rule [388] f(A,f(f(B,A),f(A,C))) <-> f(f(c,f(c,c)),f(f(B,A),f(A,C)))
% collapsed.
% Rule [390] f(A,f(f(B,A),f(A,C))) <-> f(f(B,f(B,B)),f(f(B,A),f(A,C)))
% collapsed.
% Rule [675] f(B,f(f(A,B),f(B,C))) <-> f(f(C,f(C,C)),f(f(A,B),f(B,C)))
% collapsed.
% Current number of equations to process: 4010
% Current number of ordered equations: 1
% Current number of rules: 402
% New rule produced :
% [815] f(f(B,f(B,B)),f(f(A,C),f(C,D))) <-> f(C,f(f(A,C),f(C,D)))
% Rule [349] f(f(A,f(A,A)),f(f(B,A),f(A,C))) -> f(A,f(f(B,A),f(A,C)))
% collapsed.
% Rule [389] f(f(c,f(c,c)),f(f(B,A),f(A,C))) <-> f(A,f(f(B,A),f(A,C)))
% collapsed.
% Rule [391] f(f(B,f(B,B)),f(f(B,A),f(A,C))) <-> f(A,f(f(B,A),f(A,C)))
% collapsed.
% Rule [676] f(f(C,f(C,C)),f(f(A,B),f(B,C))) <-> f(B,f(f(A,B),f(B,C)))
% collapsed.
% Current number of equations to process: 4010
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [816] f(A,f(f(B,A),f(C,A))) <-> f(f(B,f(B,B)),f(f(B,A),f(C,A)))
% Current number of equations to process: 4078
% Current number of ordered equations: 3
% Current number of rules: 400
% New rule produced :
% [817] f(A,f(f(A,B),f(C,A))) <-> f(f(B,f(B,B)),f(f(A,B),f(C,A)))
% Current number of equations to process: 4078
% Current number of ordered equations: 2
% Current number of rules: 401
% New rule produced :
% [818] f(f(B,f(B,B)),f(f(B,A),f(C,A))) <-> f(A,f(f(B,A),f(C,A)))
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 402
% New rule produced :
% [819] f(f(B,f(B,B)),f(f(A,B),f(C,A))) <-> f(A,f(f(A,B),f(C,A)))
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced : [820] f(f(f(B,B),A),f(f(c,f(c,c)),f(B,C))) -> f(B,C)
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [821] f(f(B,f(f(A,A),C)),f(A,B)) -> f(f(A,f(A,A)),f(B,f(f(A,A),C)))
% Current number of equations to process: 4101
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced : [822] f(f(B,A),f(f(c,f(c,c)),f(C,f(B,B)))) -> f(C,f(B,B))
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced : [823] f(f(f(B,A),C),f(f(c,f(c,c)),f(A,B))) -> f(A,B)
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced : [824] f(f(f(B,A),f(C,f(C,C))),f(f(B,B),D)) -> f(B,A)
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced : [825] f(f(f(B,f(f(A,A),C)),D),f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced : [826] f(f(B,f(A,f(f(C,C),D))),f(f(C,A),f(C,A))) -> f(C,A)
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced : [827] f(f(f(B,A),f(B,A)),f(f(A,f(f(B,B),C)),D)) -> f(B,A)
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced : [828] f(f(f(f(f(B,B),A),C),D),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 4156
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced : [829] f(f(f(B,f(B,B)),f(f(A,A),C)),f(A,A)) -> f(f(A,A),C)
% Current number of equations to process: 4176
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced : [830] f(f(f(B,f(B,B)),f(A,C)),A) -> f(A,C)
% Rule [393] f(f(f(A,f(A,A)),f(f(B,A),C)),f(B,A)) -> f(f(B,A),C) collapsed.
% Rule [416] f(f(f(c,f(c,c)),f(B,A)),B) -> f(B,A) collapsed.
% Rule [495] f(f(f(A,f(A,A)),f(B,f(f(B,A),C))),B) -> f(B,f(f(B,A),C))
% collapsed.
% Rule [715] f(f(f(B,f(B,B)),f(A,f(f(B,A),C))),A) -> f(A,f(f(B,A),C))
% collapsed.
% Rule [829] f(f(f(B,f(B,B)),f(f(A,A),C)),f(A,A)) -> f(f(A,A),C) collapsed.
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced : [831] f(f(A,f(A,A)),f(f(c,f(c,c)),B)) -> B
% Current number of equations to process: 4191
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced : [832] f(f(f(f(c,f(c,c)),f(B,A)),C),f(A,A)) -> A
% Current number of equations to process: 4216
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced : [833] f(f(B,f(f(c,f(c,c)),f(A,C))),f(A,A)) -> A
% Current number of equations to process: 4215
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced : [834] f(f(B,B),f(f(f(c,f(c,c)),f(B,A)),C)) -> B
% Current number of equations to process: 4214
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced : [835] f(f(B,B),f(A,f(f(c,f(c,c)),f(B,C)))) -> B
% Current number of equations to process: 4213
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced : [836] f(f(B,f(f(c,f(c,c)),f(A,C))),f(C,C)) -> C
% Current number of equations to process: 4212
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced : [837] f(f(B,B),f(f(f(c,f(c,c)),f(A,B)),C)) -> B
% Current number of equations to process: 4211
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced : [838] f(B,f(A,f(f(C,f(B,B)),f(c,f(c,c))))) -> f(B,B)
% Current number of equations to process: 4227
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced : [839] f(f(f(B,f(B,B)),A),f(f(f(C,A),f(A,D)),B)) -> A
% Current number of equations to process: 4236
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [840] f(f(f(B,f(B,B)),f(A,f(C,B))),f(C,B)) -> f(A,f(C,B))
% Current number of equations to process: 4235
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced : [841] f(f(f(B,f(B,B)),A),f(f(f(C,A),f(D,A)),B)) -> A
% Current number of equations to process: 4234
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced : [842] f(f(f(c,f(c,c)),B),f(f(f(A,B),f(B,C)),D)) -> B
% Current number of equations to process: 4233
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced : [843] f(f(f(c,f(c,c)),B),f(A,f(f(C,B),f(B,D)))) -> B
% Current number of equations to process: 4232
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced : [844] f(f(f(c,f(c,c)),B),f(f(f(A,B),f(C,B)),D)) -> B
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced : [845] f(f(f(c,f(c,c)),B),f(f(f(B,A),f(B,C)),D)) -> B
% Current number of equations to process: 4230
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced : [846] f(B,f(A,f(f(c,f(c,c)),f(C,f(B,B))))) -> f(B,B)
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced : [847] f(f(B,B),f(A,f(f(C,B),f(c,f(c,c))))) -> B
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced : [848] f(f(B,B),f(A,f(f(B,C),f(D,B)))) -> B
% Rule [735] f(f(B,B),f(f(A,f(A,A)),f(f(B,A),f(C,B)))) -> B collapsed.
% Rule [783] f(f(B,B),f(A,f(f(B,f(B,B)),f(C,B)))) -> B collapsed.
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced : [849] f(f(B,B),f(A,f(f(C,B),f(D,f(D,D))))) -> B
% Rule [847] f(f(B,B),f(A,f(f(C,B),f(c,f(c,c))))) -> B collapsed.
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced : [850] f(f(B,B),f(A,f(f(c,f(c,c)),f(C,B)))) -> B
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced : [851] f(f(B,B),f(A,f(f(B,C),f(c,f(c,c))))) -> B
% Current number of equations to process: 4329
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced : [852] f(f(B,B),f(A,f(f(B,C),f(D,f(D,D))))) -> B
% Rule [851] f(f(B,B),f(A,f(f(B,C),f(c,f(c,c))))) -> B collapsed.
% Current number of equations to process: 4347
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced : [853] f(f(f(B,A),f(A,f(f(B,C),f(B,C)))),B) -> f(B,A)
% Current number of equations to process: 4375
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced : [854] f(f(B,f(c,f(c,c))),f(A,f(f(C,B),f(D,B)))) -> B
% Current number of equations to process: 4374
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [855] f(f(B,A),f(A,f(f(C,B),f(D,B)))) <-> f(f(A,f(A,A)),f(B,A))
% Current number of equations to process: 4373
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [856] f(f(A,f(A,A)),f(B,A)) <-> f(f(B,A),f(A,f(f(C,B),f(D,B))))
% Current number of equations to process: 4373
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced : [857] f(f(B,f(A,f(A,A))),f(C,f(f(D,B),f(V_4,B)))) -> B
% Rule [854] f(f(B,f(c,f(c,c))),f(A,f(f(C,B),f(D,B)))) -> B collapsed.
% Current number of equations to process: 4371
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced : [858] f(f(f(c,f(c,c)),B),f(A,f(f(C,B),f(D,B)))) -> B
% Current number of equations to process: 4370
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced : [859] f(f(B,f(c,f(c,c))),f(A,f(f(B,C),f(B,D)))) -> B
% Current number of equations to process: 4369
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [860] f(f(B,A),f(A,f(f(B,C),f(B,D)))) <-> f(f(A,f(A,A)),f(B,A))
% Current number of equations to process: 4368
% Current number of ordered equations: 1
% Current number of rules: 434
% New rule produced :
% [861] f(f(A,f(A,A)),f(B,A)) <-> f(f(B,A),f(A,f(f(B,C),f(B,D))))
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced : [862] fCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------