TSTP Solution File: LAT079-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT079-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n149.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 00:26:14 EDT 2014

% Result   : Timeout 300.09s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT079-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n149.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun  5 20:36:03 CDT 2014
% % CPUTime  : 300.09 
% Processing problem /tmp/CiME_56868_n149.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(f(B,f(B,f(f(C,C),A))),A),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(b,f(a,f(c,c)))) = f(a,f(c,f(a,f(b,b))));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { f(f(f(f(B,A),f(A,C)),D),f(A,f(f(f(B,f(B,
% f(f(C,C),A))),A),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(b,f(a,f(c,c)))) =
% f(a,f(c,f(a,f(b,b)))) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(f(B,f(B,f(f(C,C),A))),A),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(f(C,B),f(f(C,B),f(f(D,D),f(B,A)))),f(B,A)),D))) -> f(B,A)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% f(f(f(f(B,A),f(A,C)),D),f(A,f(f(f(f(V_4,f(f(f(B,A),f(A,C)),D)),f(f(V_4,
% f(f(
% f(B,A),
% f(A,C)),D)),
% f(f(V_5,V_5),A))),A),V_5)))
% -> A
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4] f(f(B,A),f(B,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(f(D,D),B))),B),D))) -> B
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] f(f(B,A),f(A,f(f(f(B,f(B,f(f(C,C),A))),A),C))) -> A
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),f(B,f(f(f(B,f(B,f(f(D,D),B))),B),D)))
% -> B
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] f(f(B,A),f(B,f(f(f(C,f(C,f(f(A,A),B))),B),A))) -> B
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8] f(f(B,A),f(A,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(f(D,D),A))),A),D))) -> A
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% f(B,f(f(A,B),f(f(f(f(C,B),f(f(C,B),f(f(D,D),f(A,B)))),f(A,B)),D))) -> f(A,B)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% f(f(B,A),f(A,f(f(f(B,f(B,f(C,A))),A),f(C,f(f(f(C,f(C,f(f(D,D),C))),C),D)))))
% -> A
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11] f(f(B,f(f(A,C),f(C,D))),f(C,f(f(f(A,f(A,f(f(D,D),C))),C),D))) -> C
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] 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: 293
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% f(B,f(f(A,B),f(f(f(C,f(C,f(f(f(B,D),f(B,D)),f(A,B)))),f(A,B)),f(B,D)))) ->
% f(A,B)
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] 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: 314
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] 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: 313
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] 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: 334
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] f(f(f(f(B,A),f(A,C)),A),f(A,A)) -> A
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18]
% f(f(f(B,A),f(A,C)),f(f(f(f(B,A),f(A,C)),A),D)) ->
% f(f(f(B,A),f(A,C)),f(f(B,A),f(A,C)))
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] f(f(B,B),f(B,B)) -> B
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] f(f(B,A),f(A,A)) -> A
% Rule [17] f(f(f(f(B,A),f(A,C)),A),f(A,A)) -> A collapsed.
% Rule [19] f(f(B,B),f(B,B)) -> B collapsed.
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 18
% Rule [18]
% f(f(f(B,A),f(A,C)),f(f(f(f(B,A),f(A,C)),A),D)) ->
% f(f(f(B,A),f(A,C)),f(f(B,A),f(A,C))) is composed into [18]
% f(f(f(B,A),f(A,C)),
% f(f(f(f(B,A),
% f(A,C)),A),D))
% ->
% f(f(f(B,A),f(A,C)),A)
% New rule produced :
% [21] 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: 360
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [22] f(f(B,f(A,C)),f(f(f(B,f(A,C)),A),f(A,C))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [23] 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: 358
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [24] 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: 369
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [25]
% f(B,f(f(A,B),f(f(f(C,f(C,f(f(f(D,B),f(D,B)),f(A,B)))),f(A,B)),f(D,B)))) ->
% f(A,B)
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [26]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,D),f(D,V_4)),A))),A),f(f(f(C,D),f(D,V_4)),D))))
% -> A
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [27] f(f(f(f(f(B,B),B),f(B,f(B,B))),A),f(B,B)) -> B
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [28]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)),V_5),f(f(f(A,C),f(C,D)),C))
% -> f(f(A,C),f(C,D))
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [29] f(f(f(f(f(B,A),f(A,C)),A),D),f(f(B,A),f(A,C))) -> f(f(f(B,A),f(A,C)),A)
% Current number of equations to process: 437
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [30] f(f(B,A),f(B,B)) -> B
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [31]
% f(B,f(f(f(f(A,B),f(B,C)),f(f(B,C),D)),f(B,C))) ->
% f(f(f(A,B),f(B,C)),f(f(B,C),D))
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [32]
% f(f(B,A),f(f(C,f(B,A)),f(f(f(D,f(D,f(f(B,B),f(C,f(B,A))))),f(C,f(B,A))),B)))
% -> f(C,f(B,A))
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [33]
% f(f(B,A),f(f(C,f(B,A)),f(f(f(D,f(D,f(f(A,A),f(C,f(B,A))))),f(C,f(B,A))),A)))
% -> f(C,f(B,A))
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [34] f(f(f(f(B,f(A,C)),A),D),f(f(f(B,f(A,C)),A),f(A,C))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [35] f(f(f(f(B,f(A,C)),C),D),f(f(f(B,f(A,C)),C),f(A,C))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [36] f(f(f(f(B,A),f(C,A)),D),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [37]
% f(B,f(f(f(A,f(C,B)),f(f(C,B),f(B,D))),f(C,B))) ->
% f(f(A,f(C,B)),f(f(C,B),f(B,D)))
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [38] f(f(B,f(f(f(A,C),f(C,D)),C)),f(f(A,C),f(C,D))) -> f(f(f(A,C),f(C,D)),C)
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [39]
% f(B,f(f(f(f(A,B),f(B,C)),B),f(f(f(A,B),f(B,C)),f(B,D)))) ->
% f(f(f(A,B),f(B,C)),B)
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [40] f(f(B,f(f(A,f(C,D)),C)),f(f(f(A,f(C,D)),C),f(C,D))) -> f(f(A,f(C,D)),C)
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [41] f(f(B,f(f(A,f(C,D)),D)),f(f(f(A,f(C,D)),D),f(C,D))) -> f(f(A,f(C,D)),D)
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [42] f(f(B,f(f(A,C),f(D,C))),f(f(f(A,C),f(D,C)),C)) -> f(f(A,C),f(D,C))
% Current number of equations to process: 489
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [43] 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: 507
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [44] 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: 507
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [45] 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: 512
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [46] f(B,f(f(B,B),A)) -> f(B,B)
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [47]
% f(B,f(f(f(A,f(f(f(C,B),f(B,D)),V_4)),B),f(f(f(C,B),f(B,D)),V_4))) ->
% f(f(A,f(f(f(C,B),f(B,D)),V_4)),B)
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [48]
% f(B,f(f(f(A,f(C,f(f(D,B),f(B,V_4)))),B),f(C,f(f(D,B),f(B,V_4))))) ->
% f(f(A,f(C,f(f(D,B),f(B,V_4)))),B)
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [49]
% f(f(f(f(f(B,A),f(A,C)),A),D),f(f(f(f(B,A),f(A,C)),A),f(f(f(B,A),f(A,C)),D)))
% -> f(f(f(B,A),f(A,C)),A)
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [50]
% f(f(f(B,f(A,C)),A),f(f(f(f(B,f(A,C)),A),f(A,C)),D)) ->
% f(f(f(B,f(A,C)),A),f(A,C))
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [51]
% f(f(f(B,f(A,C)),C),f(f(f(f(B,f(A,C)),C),f(A,C)),D)) ->
% f(f(f(B,f(A,C)),C),f(A,C))
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [52] f(f(f(B,A),f(A,C)),f(D,f(f(f(B,A),f(A,C)),A))) -> f(f(f(B,A),f(A,C)),A)
% Current number of equations to process: 531
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [53] f(f(f(B,A),f(C,A)),f(f(f(f(B,A),f(C,A)),A),D)) -> f(f(f(B,A),f(C,A)),A)
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [54] 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))
% Rule
% [39]
% f(B,f(f(f(f(A,B),f(B,C)),B),f(f(f(A,B),f(B,C)),f(B,D)))) ->
% f(f(f(A,B),f(B,C)),B) collapsed.
% Rule
% [49]
% f(f(f(f(f(B,A),f(A,C)),A),D),f(f(f(f(B,A),f(A,C)),A),f(f(f(B,A),f(A,C)),D)))
% -> f(f(f(B,A),f(A,C)),A) collapsed.
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 50
% Rule [21] f(f(f(B,A),f(A,C)),f(f(B,A),f(A,C))) -> f(f(f(B,A),f(A,C)),A) is composed into 
% [21] f(f(f(B,A),f(A,C)),f(f(B,A),f(A,C))) -> f(A,f(f(B,A),f(A,C)))
% New rule produced : [55] f(f(f(A,B),f(B,C)),B) -> f(B,f(f(A,B),f(B,C)))
% Rule [12] f(f(B,A),f(f(f(B,A),f(A,C)),A)) -> f(f(B,A),f(A,C)) collapsed.
% Rule [14] 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 [15] 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 [16] f(f(B,A),f(f(f(C,B),f(B,A)),B)) -> f(f(C,B),f(B,A)) collapsed.
% Rule
% [18] f(f(f(B,A),f(A,C)),f(f(f(f(B,A),f(A,C)),A),D)) -> f(f(f(B,A),f(A,C)),A)
% collapsed.
% Rule
% [26]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,D),f(D,V_4)),A))),A),f(f(f(C,D),f(D,V_4)),D))))
% -> A collapsed.
% Rule
% [28]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)),V_5),f(f(f(A,C),f(C,D)),C))
% -> f(f(A,C),f(C,D)) collapsed.
% Rule
% [29] f(f(f(f(f(B,A),f(A,C)),A),D),f(f(B,A),f(A,C))) -> f(f(f(B,A),f(A,C)),A)
% collapsed.
% Rule
% [31]
% f(B,f(f(f(f(A,B),f(B,C)),f(f(B,C),D)),f(B,C))) ->
% f(f(f(A,B),f(B,C)),f(f(B,C),D)) collapsed.
% Rule
% [37]
% f(B,f(f(f(A,f(C,B)),f(f(C,B),f(B,D))),f(C,B))) ->
% f(f(A,f(C,B)),f(f(C,B),f(B,D))) collapsed.
% Rule
% [38] f(f(B,f(f(f(A,C),f(C,D)),C)),f(f(A,C),f(C,D))) -> f(f(f(A,C),f(C,D)),C)
% collapsed.
% Rule
% [52] f(f(f(B,A),f(A,C)),f(D,f(f(f(B,A),f(A,C)),A))) -> f(f(f(B,A),f(A,C)),A)
% collapsed.
% Rule [54] 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.
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [56] f(f(B,f(A,A)),A) -> f(A,A)
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [57] 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: 558
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [58] 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: 557
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [59] f(f(f(f(B,f(A,A)),f(f(A,A),A)),C),A) -> f(A,A)
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [60] f(f(B,A),f(B,f(f(f(C,f(C,f(f(B,B),B))),B),B))) -> B
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [61] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(B,A),f(A,C)))) -> f(f(B,A),f(A,C))
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [62] f(f(B,f(f(A,C),f(C,D))),f(C,f(f(A,C),f(C,D)))) -> f(f(A,C),f(C,D))
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [63] f(f(A,f(f(B,A),f(A,C))),f(f(f(B,A),f(A,C)),D)) -> f(f(B,A),f(A,C))
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [64] f(f(f(B,A),f(A,C)),f(f(A,f(f(B,A),f(A,C))),D)) -> f(A,f(f(B,A),f(A,C)))
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [65] f(f(f(A,f(f(B,A),f(A,C))),D),f(f(B,A),f(A,C))) -> f(A,f(f(B,A),f(A,C)))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [66] f(f(B,f(C,f(f(A,C),f(C,D)))),f(f(A,C),f(C,D))) -> f(C,f(f(A,C),f(C,D)))
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [67] f(f(f(B,A),f(A,C)),f(D,f(A,f(f(B,A),f(A,C))))) -> f(A,f(f(B,A),f(A,C)))
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [68]
% f(B,f(f(B,C),f(f(f(A,B),f(B,C)),f(f(B,C),D)))) ->
% f(f(f(A,B),f(B,C)),f(f(B,C),D))
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [69]
% f(B,f(f(C,B),f(f(A,f(C,B)),f(f(C,B),f(B,D))))) ->
% f(f(A,f(C,B)),f(f(C,B),f(B,D)))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [70] f(f(f(f(B,f(A,A)),f(f(A,A),C)),D),A) -> f(A,A)
% Rule [59] f(f(f(f(B,f(A,A)),f(f(A,A),A)),C),A) -> f(A,A) collapsed.
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [71] f(f(f(B,B),A),B) -> f(B,B)
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [72] f(B,f(f(f(B,f(B,f(f(A,A),B))),B),A)) -> f(B,B)
% Rule
% [6]
% f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),f(B,f(f(f(B,f(B,f(f(D,D),B))),B),D)))
% -> B collapsed.
% Rule
% [10]
% f(f(B,A),f(A,f(f(f(B,f(B,f(C,A))),A),f(C,f(f(f(C,f(C,f(f(D,D),C))),C),D)))))
% -> A collapsed.
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [73] f(f(B,f(f(A,f(C,C)),f(f(C,C),C))),C) -> f(C,C)
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [74] f(f(B,A),f(A,f(f(f(B,f(B,f(C,A))),A),f(C,C)))) -> A
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [75] f(f(B,A),f(A,f(f(f(C,f(C,f(f(A,A),A))),A),A))) -> A
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [76] f(f(B,f(A,A)),f(B,f(f(f(C,f(C,f(A,B))),B),f(A,A)))) -> B
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [77] f(B,f(f(A,B),f(f(f(C,f(C,f(B,f(A,B)))),f(A,B)),f(B,B)))) -> f(A,B)
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [78] f(f(f(f(B,A),f(A,f(C,C))),D),f(A,f(f(f(B,f(B,f(C,A))),A),f(C,C)))) -> A
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [79] f(f(B,A),f(B,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(D,B))),B),f(D,D)))) -> B
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [80] f(f(B,A),f(A,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(D,A))),A),f(D,D)))) -> A
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [81] f(f(B,f(f(A,C),f(C,f(D,D)))),f(C,f(f(f(A,f(A,f(D,C))),C),f(D,D)))) -> C
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [82]
% f(B,f(f(B,A),f(f(f(f(C,B),f(f(C,B),f(D,f(B,A)))),f(B,A)),f(D,D)))) -> f(B,A)
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [83]
% f(B,f(f(A,B),f(f(f(f(C,B),f(f(C,B),f(D,f(A,B)))),f(A,B)),f(D,D)))) -> f(A,B)
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [84]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,D),f(D,V_4)),A))),A),f(D,f(f(C,D),f(D,V_4))))))
% -> A
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [85]
% f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),f(B,f(f(f(B,f(B,f(D,B))),B),f(D,D))))
% -> B
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [86]
% f(f(B,B),f(B,f(f(f(A,f(A,f(f(f(f(B,B),C),f(f(B,B),C)),B))),B),f(f(B,B),C))))
% -> B
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [87] f(f(f(B,f(A,C)),A),f(f(B,f(A,C)),A)) -> f(f(A,C),f(f(B,f(A,C)),A))
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [88] f(f(f(B,f(A,C)),C),f(f(B,f(A,C)),C)) -> f(f(A,C),f(f(B,f(A,C)),C))
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [89] f(f(f(B,A),f(C,A)),f(f(B,A),f(C,A))) -> f(A,f(f(B,A),f(C,A)))
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [90]
% f(f(B,A),f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),A)) ->
% f(f(B,A),f(f(f(C,A),f(A,D)),V_4))
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [91]
% f(f(f(B,A),B),f(f(B,A),f(f(f(f(f(B,B),f(B,A)),f(B,B)),f(B,A)),B))) -> f(B,A)
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [92]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(C,f(f(D,C),f(C,V_4))),A))),A),f(f(D,C),f(C,V_4)))))
% -> A
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [93]
% f(f(f(B,B),A),f(f(B,B),f(f(f(f(C,B),f(f(C,B),f(f(D,D),f(B,B)))),f(B,B)),D)))
% -> f(B,B)
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [94]
% f(f(f(f(B,f(A,C)),C),D),f(f(A,C),f(f(f(B,f(B,f(C,f(A,C)))),f(A,C)),f(C,C))))
% -> f(A,C)
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [95]
% f(f(B,f(f(A,f(C,D)),D)),f(f(C,D),f(f(f(A,f(A,f(D,f(C,D)))),f(C,D)),f(D,D))))
% -> f(C,D)
% Current number of equations to process: 576
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [96]
% f(f(B,f(A,A)),f(f(A,A),f(f(f(f(C,A),f(f(C,A),f(f(D,D),f(A,A)))),f(A,A)),D)))
% -> f(A,A)
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [97] 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: 582
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [98] f(f(f(C,f(B,A)),A),f(B,A)) -> f(f(B,A),f(f(C,f(B,A)),A))
% Rule [23] f(f(B,f(A,C)),f(f(f(B,f(A,C)),C),f(A,C))) -> f(f(B,f(A,C)),C)
% collapsed.
% Rule
% [35] f(f(f(f(B,f(A,C)),C),D),f(f(f(B,f(A,C)),C),f(A,C))) -> f(f(B,f(A,C)),C)
% collapsed.
% Rule
% [41] f(f(B,f(f(A,f(C,D)),D)),f(f(f(A,f(C,D)),D),f(C,D))) -> f(f(A,f(C,D)),D)
% collapsed.
% Rule [44] f(B,f(f(f(A,f(C,B)),B),f(C,B))) -> f(f(A,f(C,B)),B) collapsed.
% Rule
% [51]
% f(f(f(B,f(A,C)),C),f(f(f(f(B,f(A,C)),C),f(A,C)),D)) ->
% f(f(f(B,f(A,C)),C),f(A,C)) collapsed.
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [99] f(B,f(f(C,B),f(f(A,f(C,B)),B))) -> f(f(A,f(C,B)),B)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [100] f(f(B,f(A,C)),f(f(A,C),f(f(B,f(A,C)),C))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [101] f(f(f(f(B,f(A,C)),C),D),f(f(A,C),f(f(B,f(A,C)),C))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [102] f(f(B,f(f(A,f(C,D)),D)),f(f(C,D),f(f(A,f(C,D)),D))) -> f(f(A,f(C,D)),D)
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [103]
% f(f(B,A),f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),A)) ->
% f(f(B,A),f(C,f(f(D,A),f(A,V_4))))
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [104]
% f(f(f(B,f(A,C)),C),f(f(f(A,C),f(f(B,f(A,C)),C)),D)) ->
% f(f(A,C),f(f(B,f(A,C)),C))
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [105]
% f(f(f(f(B,f(A,C)),A),f(A,C)),f(f(A,C),f(f(B,f(A,C)),A))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [106] f(f(f(f(B,A),f(C,A)),A),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [107] f(B,f(A,f(B,B))) -> f(B,B)
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [108] f(f(f(A,B),f(C,B)),B) -> f(B,f(f(A,B),f(C,B)))
% Rule [24] f(f(B,A),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A)) collapsed.
% Rule [36] f(f(f(f(B,A),f(C,A)),D),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A))
% collapsed.
% Rule [42] f(f(B,f(f(A,C),f(D,C))),f(f(f(A,C),f(D,C)),C)) -> f(f(A,C),f(D,C))
% collapsed.
% Rule [45] f(f(B,A),f(f(f(C,A),f(B,A)),A)) -> f(f(C,A),f(B,A)) collapsed.
% Rule
% [53] f(f(f(B,A),f(C,A)),f(f(f(f(B,A),f(C,A)),A),D)) -> f(f(f(B,A),f(C,A)),A)
% collapsed.
% Rule [106] f(f(f(f(B,A),f(C,A)),A),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% collapsed.
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [109] 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: 606
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [110] 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: 605
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [111] f(f(f(f(B,A),f(C,A)),D),f(A,f(f(B,A),f(C,A)))) -> f(f(B,A),f(C,A))
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [112] f(f(B,f(f(A,C),f(D,C))),f(C,f(f(A,C),f(D,C)))) -> f(f(A,C),f(D,C))
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [113] f(f(f(B,A),f(C,A)),f(f(A,f(f(B,A),f(C,A))),D)) -> f(A,f(f(B,A),f(C,A)))
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [114] f(f(f(B,A),A),f(A,f(f(f(f(B,A),f(f(B,A),f(B,A))),A),f(B,A)))) -> A
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [115] f(f(B,f(A,B)),f(B,f(f(f(f(A,B),f(f(A,B),f(A,B))),B),f(A,B)))) -> B
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [116]
% f(f(B,B),f(f(f(B,B),A),f(f(f(B,f(B,f(f(C,C),f(f(B,B),A)))),f(f(B,B),A)),C)))
% -> f(f(B,B),A)
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [117]
% f(f(B,B),f(f(A,f(B,B)),f(f(f(B,f(B,f(f(C,C),f(A,f(B,B))))),f(A,f(B,B))),C)))
% -> f(A,f(B,B))
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [118]
% f(f(f(f(f(B,A),A),f(A,f(B,A))),C),f(A,f(f(f(f(B,A),f(f(B,A),f(B,A))),A),
% f(B,A)))) -> A
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [119]
% f(f(B,f(f(f(A,C),C),f(C,f(A,C)))),f(C,f(f(f(f(A,C),f(f(A,C),f(A,C))),C),
% f(A,C)))) -> C
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [120]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)),V_5),f(C,f(f(A,C),
% f(C,D)))) ->
% f(f(A,C),f(C,D))
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [121]
% f(f(f(f(B,B),f(B,A)),f(B,A)),f(f(B,A),f(f(f(f(f(B,B),f(B,A)),f(B,B)),f(B,A)),B)))
% -> f(B,A)
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [122]
% f(B,f(f(A,B),f(f(f(f(B,f(A,B)),f(f(B,f(A,B)),f(B,f(A,B)))),f(A,B)),f(B,
% f(A,B)))))
% -> f(A,B)
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [123]
% f(f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)),C) ->
% f(f(f(A,C),f(C,D)),f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)))
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [124]
% f(f(B,f(f(A,C),f(C,D))),f(B,f(f(f(V_4,f(V_4,f(f(C,f(f(A,C),f(C,D))),B))),B),
% f(f(A,C),f(C,D))))) -> B
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [125]
% f(f(B,B),f(B,f(f(f(A,f(A,f(f(f(C,f(B,B)),f(C,f(B,B))),B))),B),f(C,f(B,B)))))
% -> B
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [126]
% f(f(f(f(f(f(f(B,B),B),f(B,f(B,B))),f(B,B)),f(f(B,B),A)),C),f(f(B,B),f(B,A)))
% -> f(B,B)
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [127]
% f(f(f(B,f(f(f(A,C),f(C,D)),V_4)),C),f(f(B,f(f(f(A,C),f(C,D)),V_4)),C)) ->
% f(f(f(f(A,C),f(C,D)),V_4),f(f(B,f(f(f(A,C),f(C,D)),V_4)),C))
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [128]
% f(f(f(B,f(A,f(f(C,D),f(D,V_4)))),D),f(f(B,f(A,f(f(C,D),f(D,V_4)))),D)) ->
% f(f(A,f(f(C,D),f(D,V_4))),f(f(B,f(A,f(f(C,D),f(D,V_4)))),D))
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [129] f(f(f(f(f(B,B),B),f(B,f(B,B))),f(B,B)),f(f(B,B),f(B,A))) -> f(B,B)
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [130] f(f(f(B,B),A),f(f(B,B),f(B,A))) -> f(B,B)
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [131] f(f(B,f(B,B)),f(f(B,B),f(B,A))) -> f(B,B)
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [132] f(f(B,f(f(f(A,A),A),f(A,f(A,A)))),f(A,A)) -> A
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [133]
% f(f(B,f(f(f(f(f(A,A),A),f(A,f(A,A))),f(A,A)),f(f(A,A),C))),f(f(A,A),f(A,C)))
% -> f(A,A)
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [134]
% f(B,f(f(f(f(A,B),f(B,C)),D),f(f(f(A,B),f(B,C)),D))) -> f(f(f(A,B),f(B,C)),D)
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [135] f(B,f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [136] f(B,f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [137]
% f(B,f(f(A,f(f(C,B),f(B,D))),f(A,f(f(C,B),f(B,D))))) -> f(A,f(f(C,B),f(B,D)))
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [138]
% f(f(f(B,B),A),f(f(B,B),f(f(f(f(B,C),f(f(B,C),f(f(D,D),f(B,B)))),f(B,B)),D)))
% -> f(B,B)
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [139]
% f(f(B,f(A,A)),f(f(A,A),f(f(f(f(A,C),f(f(A,C),f(f(D,D),f(A,A)))),f(A,A)),D)))
% -> f(A,A)
% Current number of equations to process: 647
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [140]
% f(f(B,A),f(f(B,f(B,A)),f(f(f(f(f(B,B),f(B,f(B,A))),f(B,B)),f(B,f(B,A))),B)))
% -> f(B,f(B,A))
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [141] f(f(B,A),f(B,f(f(B,f(f(f(C,f(C,f(f(D,D),B))),B),D)),V_4))) -> B
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [142] f(f(f(B,B),A),f(f(B,B),f(B,f(f(f(C,f(C,f(f(D,D),B))),B),D)))) -> f(B,B)
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [143]
% f(f(B,A),f(f(A,f(B,A)),f(f(f(f(f(A,A),f(A,f(B,A))),f(A,A)),f(A,f(B,A))),A)))
% -> f(A,f(B,A))
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [144]
% f(f(f(f(B,A),f(f(C,f(B,A)),B)),D),f(f(C,f(B,A)),B)) ->
% f(f(B,A),f(f(C,f(B,A)),B))
% Current number of equations to process: 732
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [145] f(f(B,A),f(A,f(f(A,f(f(f(C,f(C,f(f(D,D),A))),A),D)),V_4))) -> A
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [146] f(f(B,f(A,A)),f(f(A,A),f(A,f(f(f(C,f(C,f(f(D,D),A))),A),D)))) -> f(A,A)
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [147]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),f(B,A)),f(f(f(C,f(B,A)),B),B))) ->
% f(f(f(C,f(B,A)),B),f(B,A))
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [148]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),f(B,A)),f(f(f(C,f(B,A)),B),A))) ->
% f(f(f(C,f(B,A)),B),f(B,A))
% Current number of equations to process: 741
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [149]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),f(B,A)),f(f(f(C,f(B,A)),B),f(f(B,A),D)))) ->
% f(f(f(C,f(B,A)),B),f(B,A))
% Current number of equations to process: 740
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [150]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),f(B,A)),f(f(f(C,f(B,A)),B),f(D,f(B,A))))) ->
% f(f(f(C,f(B,A)),B),f(B,A))
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [151]
% f(f(B,f(f(A,C),f(f(D,f(A,C)),A))),f(f(D,f(A,C)),A)) ->
% f(f(A,C),f(f(D,f(A,C)),A))
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [152] f(f(f(f(B,A),f(A,B)),C),f(A,f(f(f(B,f(B,B)),A),B))) -> A
% Rule
% [118]
% f(f(f(f(f(B,A),A),f(A,f(B,A))),C),f(A,f(f(f(f(B,A),f(f(B,A),f(B,A))),A),
% f(B,A)))) -> A collapsed.
% Current number of equations to process: 775
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [153]
% f(f(f(A,f(f(B,B),B)),f(B,B)),f(f(B,B),B)) ->
% f(f(f(B,B),B),f(f(A,f(f(B,B),B)),f(B,B)))
% Current number of equations to process: 774
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [154]
% f(f(D,f(f(f(C,f(B,A)),B),f(B,A))),f(f(C,f(B,A)),B)) ->
% f(f(B,A),f(f(C,f(B,A)),B))
% Current number of equations to process: 773
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [155] f(B,f(f(B,A),f(f(f(f(C,B),f(f(C,B),f(C,B))),f(B,A)),f(C,B)))) -> f(B,A)
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [156] f(f(B,A),f(A,f(f(f(B,f(B,B)),A),B))) -> A
% Rule [114] f(f(f(B,A),A),f(A,f(f(f(f(B,A),f(f(B,A),f(B,A))),A),f(B,A)))) -> A
% collapsed.
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [157] f(f(B,A),f(B,f(f(f(A,f(A,A)),B),A))) -> B
% Rule [115] f(f(B,f(A,B)),f(B,f(f(f(f(A,B),f(f(A,B),f(A,B))),B),f(A,B)))) -> B
% collapsed.
% Current number of equations to process: 775
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [158] f(f(B,B),f(B,A)) -> B
% Rule
% [86]
% f(f(B,B),f(B,f(f(f(A,f(A,f(f(f(f(B,B),C),f(f(B,B),C)),B))),B),f(f(B,B),C))))
% -> B collapsed.
% Rule
% [91]
% f(f(f(B,A),B),f(f(B,A),f(f(f(f(f(B,B),f(B,A)),f(B,B)),f(B,A)),B))) -> f(B,A)
% collapsed.
% Rule
% [121]
% f(f(f(f(B,B),f(B,A)),f(B,A)),f(f(B,A),f(f(f(f(f(B,B),f(B,A)),f(B,B)),f(B,A)),B)))
% -> f(B,A) collapsed.
% Rule
% [125]
% f(f(B,B),f(B,f(f(f(A,f(A,f(f(f(C,f(B,B)),f(C,f(B,B))),B))),B),f(C,f(B,B)))))
% -> B collapsed.
% Rule
% [126]
% f(f(f(f(f(f(f(B,B),B),f(B,f(B,B))),f(B,B)),f(f(B,B),A)),C),f(f(B,B),f(B,A)))
% -> f(B,B) collapsed.
% Rule [129] f(f(f(f(f(B,B),B),f(B,f(B,B))),f(B,B)),f(f(B,B),f(B,A))) -> f(B,B)
% collapsed.
% Rule [130] f(f(f(B,B),A),f(f(B,B),f(B,A))) -> f(B,B) collapsed.
% Rule [131] f(f(B,f(B,B)),f(f(B,B),f(B,A))) -> f(B,B) collapsed.
% Rule
% [133]
% f(f(B,f(f(f(f(f(A,A),A),f(A,f(A,A))),f(A,A)),f(f(A,A),C))),f(f(A,A),f(A,C)))
% -> f(A,A) collapsed.
% Rule
% [140]
% f(f(B,A),f(f(B,f(B,A)),f(f(f(f(f(B,B),f(B,f(B,A))),f(B,B)),f(B,f(B,A))),B)))
% -> f(B,f(B,A)) collapsed.
% Rule
% [142] f(f(f(B,B),A),f(f(B,B),f(B,f(f(f(C,f(C,f(f(D,D),B))),B),D)))) -> f(B,B)
% collapsed.
% Rule
% [143]
% f(f(B,A),f(f(A,f(B,A)),f(f(f(f(f(A,A),f(A,f(B,A))),f(A,A)),f(A,f(B,A))),A)))
% -> f(A,f(B,A)) collapsed.
% Rule
% [146] f(f(B,f(A,A)),f(f(A,A),f(A,f(f(f(C,f(C,f(f(D,D),A))),A),D)))) -> f(A,A)
% collapsed.
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [159] f(f(f(B,A),f(B,A)),B) -> f(B,A)
% Current number of equations to process: 792
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [160] f(f(B,f(f(A,C),f(C,A))),f(C,f(f(f(A,f(A,A)),C),A))) -> C
% Rule
% [119]
% f(f(B,f(f(f(A,C),C),f(C,f(A,C)))),f(C,f(f(f(f(A,C),f(f(A,C),f(A,C))),C),
% f(A,C)))) -> C collapsed.
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [161] f(f(B,A),f(f(B,f(B,A)),f(f(f(B,f(B,B)),f(B,f(B,A))),B))) -> f(B,f(B,A))
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [162] f(f(B,A),f(f(A,f(B,A)),f(f(f(A,f(A,A)),f(A,f(B,A))),A))) -> f(A,f(B,A))
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [163] f(f(B,A),f(f(C,f(B,A)),f(f(f(B,f(B,B)),f(C,f(B,A))),B))) -> f(C,f(B,A))
% Rule
% [161] f(f(B,A),f(f(B,f(B,A)),f(f(f(B,f(B,B)),f(B,f(B,A))),B))) -> f(B,f(B,A))
% collapsed.
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [164] f(f(B,A),f(f(C,f(B,A)),f(f(f(A,f(A,A)),f(C,f(B,A))),A))) -> f(C,f(B,A))
% Rule
% [162] f(f(B,A),f(f(A,f(B,A)),f(f(f(A,f(A,A)),f(A,f(B,A))),A))) -> f(A,f(B,A))
% collapsed.
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [165] f(f(B,f(f(f(f(f(A,A),A),f(A,f(A,A))),f(A,A)),f(f(A,A),C))),A) -> f(A,A)
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [166] f(B,f(f(A,B),f(f(f(f(C,B),f(f(C,B),f(C,B))),f(A,B)),f(C,B)))) -> f(A,B)
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [167] f(B,f(f(A,B),f(f(f(f(B,C),f(f(B,C),f(B,C))),f(A,B)),f(B,C)))) -> f(A,B)
% Rule
% [122]
% f(B,f(f(A,B),f(f(f(f(B,f(A,B)),f(f(B,f(A,B)),f(B,f(A,B)))),f(A,B)),f(B,
% f(A,B)))))
% -> f(A,B) collapsed.
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [168]
% f(f(f(f(B,A),f(A,C)),D),f(f(f(V_4,A),f(f(f(B,A),f(A,C)),D)),A)) ->
% f(f(V_4,A),f(f(f(B,A),f(A,C)),D))
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [169]
% f(f(B,f(f(A,C),f(C,D))),f(f(f(V_4,C),f(B,f(f(A,C),f(C,D)))),C)) ->
% f(f(V_4,C),f(B,f(f(A,C),f(C,D))))
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [170]
% f(f(B,A),f(B,f(f(f(C,f(C,f(f(f(f(B,B),D),f(f(B,B),D)),B))),B),f(f(B,B),D))))
% -> B
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [171]
% f(f(B,A),f(B,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(C,f(B,A)))),B),f(C,f(B,A)))))
% -> B
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [172]
% f(f(B,A),f(A,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(C,f(B,A)))),A),f(C,f(B,A)))))
% -> A
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [173]
% f(f(B,A),f(A,f(f(f(C,f(C,f(f(f(f(A,A),D),f(f(A,A),D)),A))),A),f(f(A,A),D))))
% -> A
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [174]
% f(f(f(B,B),f(f(f(B,B),A),C)),f(f(B,B),f(f(f(B,B),A),C))) ->
% f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C)))
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [175]
% f(f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),V_5),f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),A))
% -> f(f(B,A),f(f(f(C,A),f(A,D)),V_4))
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [176]
% f(f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),V_5),f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),A))
% -> f(f(B,A),f(C,f(f(D,A),f(A,V_4))))
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [177]
% f(f(B,f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))),f(f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5)),C))
% -> f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))
% Current number of equations to process: 782
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [178]
% f(f(B,f(f(A,C),f(D,f(f(V_4,C),f(C,V_5))))),f(f(f(A,C),f(D,f(f(V_4,C),
% f(C,V_5)))),C)) ->
% f(f(A,C),f(D,f(f(V_4,C),f(C,V_5))))
% Current number of equations to process: 781
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [179]
% f(f(f(A,C),f(f(f(B,A),f(A,C)),f(f(A,C),D))),A) ->
% f(f(f(B,A),f(A,C)),f(f(A,C),D))
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [180]
% f(B,f(f(f(A,f(f(f(C,B),f(D,B)),V_4)),B),f(f(f(C,B),f(D,B)),V_4))) ->
% f(f(A,f(f(f(C,B),f(D,B)),V_4)),B)
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [181]
% f(f(B,A),f(f(f(C,f(f(f(D,f(B,A)),B),V_4)),f(B,A)),f(f(f(D,f(B,A)),B),V_4)))
% -> f(f(C,f(f(f(D,f(B,A)),B),V_4)),f(B,A))
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [182]
% f(f(B,A),f(f(f(C,f(f(f(D,f(B,A)),A),V_4)),f(B,A)),f(f(f(D,f(B,A)),A),V_4)))
% -> f(f(C,f(f(f(D,f(B,A)),A),V_4)),f(B,A))
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [183]
% f(f(f(A,C),f(f(B,f(A,C)),f(f(A,C),f(C,D)))),C) ->
% f(f(B,f(A,C)),f(f(A,C),f(C,D)))
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [184]
% f(f(f(A,f(f(C,B),f(B,D))),f(C,B)),B) -> f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B)))
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [185]
% f(B,f(f(f(A,f(C,f(f(D,B),f(V_4,B)))),B),f(C,f(f(D,B),f(V_4,B))))) ->
% f(f(A,f(C,f(f(D,B),f(V_4,B)))),B)
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [186] f(B,f(f(f(A,A),B),f(f(A,A),f(f(C,B),f(B,D))))) -> f(f(A,A),B)
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [187]
% f(B,f(f(B,f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),D)),V_4)) ->
% f(B,f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),D))
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [188] f(f(f(C,f(B,A)),B),f(B,A)) -> f(f(B,A),f(f(C,f(B,A)),B))
% Rule [22] f(f(B,f(A,C)),f(f(f(B,f(A,C)),A),f(A,C))) -> f(f(B,f(A,C)),A)
% collapsed.
% Rule
% [34] f(f(f(f(B,f(A,C)),A),D),f(f(f(B,f(A,C)),A),f(A,C))) -> f(f(B,f(A,C)),A)
% collapsed.
% Rule
% [40] f(f(B,f(f(A,f(C,D)),C)),f(f(f(A,f(C,D)),C),f(C,D))) -> f(f(A,f(C,D)),C)
% collapsed.
% Rule [43] f(B,f(f(f(A,f(B,C)),B),f(B,C))) -> f(f(A,f(B,C)),B) collapsed.
% Rule
% [50]
% f(f(f(B,f(A,C)),A),f(f(f(f(B,f(A,C)),A),f(A,C)),D)) ->
% f(f(f(B,f(A,C)),A),f(A,C)) collapsed.
% Rule
% [105]
% f(f(f(f(B,f(A,C)),A),f(A,C)),f(f(A,C),f(f(B,f(A,C)),A))) -> f(f(B,f(A,C)),A)
% collapsed.
% Rule
% [147]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),f(B,A)),f(f(f(C,f(B,A)),B),B))) ->
% f(f(f(C,f(B,A)),B),f(B,A)) collapsed.
% Rule
% [148]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),f(B,A)),f(f(f(C,f(B,A)),B),A))) ->
% f(f(f(C,f(B,A)),B),f(B,A)) collapsed.
% Rule
% [149]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),f(B,A)),f(f(f(C,f(B,A)),B),f(f(B,A),D)))) ->
% f(f(f(C,f(B,A)),B),f(B,A)) collapsed.
% Rule
% [150]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),f(B,A)),f(f(f(C,f(B,A)),B),f(D,f(B,A))))) ->
% f(f(f(C,f(B,A)),B),f(B,A)) collapsed.
% Rule
% [153]
% f(f(f(A,f(f(B,B),B)),f(B,B)),f(f(B,B),B)) ->
% f(f(f(B,B),B),f(f(A,f(f(B,B),B)),f(B,B))) collapsed.
% Rule
% [154]
% f(f(D,f(f(f(C,f(B,A)),B),f(B,A))),f(f(C,f(B,A)),B)) ->
% f(f(B,A),f(f(C,f(B,A)),B)) collapsed.
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [189] f(B,f(f(B,C),f(f(A,f(B,C)),B))) -> f(f(A,f(B,C)),B)
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [190] f(f(B,f(A,C)),f(f(A,C),f(f(B,f(A,C)),A))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [191]
% f(f(f(B,f(f(A,B),f(B,C))),f(B,D)),B) -> f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D)))
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [192] f(f(f(f(B,f(A,C)),A),D),f(f(A,C),f(f(B,f(A,C)),A))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [193] f(f(B,f(f(A,f(C,D)),C)),f(f(C,D),f(f(A,f(C,D)),C))) -> f(f(A,f(C,D)),C)
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [194]
% f(f(f(B,f(A,C)),A),f(f(f(A,C),f(f(B,f(A,C)),A)),D)) ->
% f(f(A,C),f(f(B,f(A,C)),A))
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [195]
% f(f(f(B,B),f(f(f(B,B),A),C)),f(f(B,B),A)) ->
% f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C)))
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [196] f(B,f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),D)) -> f(B,B)
% Rule [141] f(f(B,A),f(B,f(f(B,f(f(f(C,f(C,f(f(D,D),B))),B),D)),V_4))) -> B
% collapsed.
% Rule [145] f(f(B,A),f(A,f(f(A,f(f(f(C,f(C,f(f(D,D),A))),A),D)),V_4))) -> A
% collapsed.
% Rule
% [187]
% f(B,f(f(B,f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),D)),V_4)) ->
% f(B,f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),D)) collapsed.
% Current number of equations to process: 962
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [197]
% f(f(f(f(f(B,A),f(A,C)),D),f(f(f(B,A),f(A,C)),D)),A) -> f(f(f(B,A),f(A,C)),D)
% Current number of equations to process: 962
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [198]
% f(f(f(B,f(f(A,C),f(C,D))),f(B,f(f(A,C),f(C,D)))),C) -> f(B,f(f(A,C),f(C,D)))
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [199] f(f(B,A),f(B,f(f(f(f(C,f(B,B)),f(f(C,f(B,B)),f(f(D,D),B))),B),D))) -> B
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [200] f(f(B,A),f(A,f(f(f(f(C,f(A,A)),f(f(C,f(A,A)),f(f(D,D),A))),A),D))) -> A
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [201]
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(f(C,f(B,A)),B),B))) ->
% f(f(B,A),f(f(C,f(B,A)),B))
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [202]
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(f(C,f(B,A)),B),A))) ->
% f(f(B,A),f(f(C,f(B,A)),B))
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [203] f(f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),D),B) -> f(B,B)
% Current number of equations to process: 979
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [204]
% f(f(B,B),f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C)))) ->
% f(f(B,B),f(f(f(B,B),A),C))
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [205]
% f(f(B,A),f(B,f(f(B,f(f(C,B),f(B,D))),f(B,A)))) ->
% f(f(B,f(f(C,B),f(B,D))),f(B,A))
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [206] f(B,f(f(f(A,f(A,f(f(B,B),B))),B),B)) -> f(B,B)
% Rule [60] f(f(B,A),f(B,f(f(f(C,f(C,f(f(B,B),B))),B),B))) -> B collapsed.
% Rule [75] f(f(B,A),f(A,f(f(f(C,f(C,f(f(A,A),A))),A),A))) -> A collapsed.
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [207]
% f(f(f(B,B),A),f(f(B,B),f(f(f(C,f(C,f(B,f(B,B)))),f(B,B)),f(B,B)))) -> f(B,B)
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [208]
% f(f(f(f(B,B),A),C),f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C)))) ->
% f(f(B,B),f(f(f(B,B),A),C))
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [209]
% f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)))
% -> B
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [210]
% f(f(B,f(f(A,B),f(B,C))),f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D)))) ->
% f(f(B,f(f(A,B),f(B,C))),f(B,D))
% Current number of equations to process: 1003
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [211]
% f(B,f(f(f(f(A,B),f(B,C)),D),f(f(V_4,f(f(f(A,B),f(B,C)),D)),B))) ->
% f(f(V_4,f(f(f(A,B),f(B,C)),D)),B)
% Current number of equations to process: 1002
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [212]
% f(B,f(f(A,f(f(C,B),f(B,D))),f(f(V_4,f(A,f(f(C,B),f(B,D)))),B))) ->
% f(f(V_4,f(A,f(f(C,B),f(B,D)))),B)
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [213] f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(f(C,f(B,A)),B),D)) -> f(f(C,f(B,A)),B)
% Rule
% [201]
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(f(C,f(B,A)),B),B))) ->
% f(f(B,A),f(f(C,f(B,A)),B)) collapsed.
% Rule
% [202]
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(f(C,f(B,A)),B),A))) ->
% f(f(B,A),f(f(C,f(B,A)),B)) collapsed.
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [214] f(f(B,f(f(A,B),f(C,B))),f(f(f(A,B),f(C,B)),D)) -> f(f(A,B),f(C,B))
% Current number of equations to process: 1060
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [215] f(f(B,f(f(A,B),f(B,C))),f(D,f(f(A,B),f(B,C)))) -> f(f(A,B),f(B,C))
% Current number of equations to process: 1060
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [216] f(f(B,f(f(A,B),f(B,C))),f(B,C)) -> f(f(A,B),f(B,C))
% Current number of equations to process: 1068
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [217] f(f(f(B,A),f(f(C,f(B,A)),A)),f(f(f(C,f(B,A)),A),D)) -> f(f(C,f(B,A)),A)
% Current number of equations to process: 1067
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [218]
% f(B,f(f(f(f(A,C),f(C,D)),B),f(f(f(A,C),f(C,D)),f(f(V_4,B),f(B,V_5))))) ->
% f(f(f(A,C),f(C,D)),B)
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [219] f(f(f(B,f(f(A,B),f(C,B))),D),f(f(A,B),f(C,B))) -> f(B,f(f(A,B),f(C,B)))
% Current number of equations to process: 1118
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [220]
% f(f(f(f(B,A),f(f(C,f(B,A)),A)),D),f(f(C,f(B,A)),A)) ->
% f(f(B,A),f(f(C,f(B,A)),A))
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [221] f(f(B,f(A,f(f(C,A),f(D,A)))),f(f(C,A),f(D,A))) -> f(A,f(f(C,A),f(D,A)))
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [222]
% f(f(B,f(f(A,C),f(f(D,f(A,C)),C))),f(f(D,f(A,C)),C)) ->
% f(f(A,C),f(f(D,f(A,C)),C))
% Current number of equations to process: 1138
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [223] f(f(B,B),f(A,B)) -> B
% Current number of equations to process: 1146
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [224]
% f(f(f(B,f(A,C)),A),f(D,f(f(A,C),f(f(B,f(A,C)),A)))) ->
% f(f(A,C),f(f(B,f(A,C)),A))
% Current number of equations to process: 1146
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [225] f(f(f(B,A),f(C,A)),f(D,f(A,f(f(B,A),f(C,A))))) -> f(A,f(f(B,A),f(C,A)))
% Current number of equations to process: 1147
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [226]
% f(f(f(B,f(A,C)),C),f(D,f(f(A,C),f(f(B,f(A,C)),C)))) ->
% f(f(A,C),f(f(B,f(A,C)),C))
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [227] f(f(f(f(B,A),f(A,C)),f(f(A,C),D)),f(A,A)) -> A
% Current number of equations to process: 1186
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [228] f(f(B,A),f(B,f(f(f(C,f(B,A)),B),f(B,D)))) -> f(f(f(C,f(B,A)),B),f(B,D))
% Current number of equations to process: 1185
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [229]
% f(B,f(f(B,A),f(f(f(C,B),f(B,A)),f(D,f(B,A))))) ->
% f(f(f(C,B),f(B,A)),f(D,f(B,A)))
% Current number of equations to process: 1192
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [230]
% f(B,f(f(A,B),f(f(f(C,B),f(A,B)),f(f(A,B),D)))) ->
% f(f(f(C,B),f(A,B)),f(f(A,B),D))
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [231]
% f(f(f(B,f(f(f(A,C),f(C,D)),V_4)),C),f(f(f(A,C),f(C,D)),V_4)) ->
% f(f(f(f(A,C),f(C,D)),V_4),f(f(B,f(f(f(A,C),f(C,D)),V_4)),C))
% Rule
% [47]
% f(B,f(f(f(A,f(f(f(C,B),f(B,D)),V_4)),B),f(f(f(C,B),f(B,D)),V_4))) ->
% f(f(A,f(f(f(C,B),f(B,D)),V_4)),B) collapsed.
% Current number of equations to process: 1193
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [232]
% f(f(f(B,f(A,f(f(C,D),f(D,V_4)))),D),f(A,f(f(C,D),f(D,V_4)))) ->
% f(f(A,f(f(C,D),f(D,V_4))),f(f(B,f(A,f(f(C,D),f(D,V_4)))),D))
% Rule
% [48]
% f(B,f(f(f(A,f(C,f(f(D,B),f(B,V_4)))),B),f(C,f(f(D,B),f(B,V_4))))) ->
% f(f(A,f(C,f(f(D,B),f(B,V_4)))),B) collapsed.
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [233]
% f(f(f(B,f(f(A,B),f(B,C))),f(B,D)),f(f(B,f(f(A,B),f(B,C))),f(B,D))) ->
% f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D)))
% Current number of equations to process: 1191
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [234] f(B,f(f(B,A),f(f(f(C,B),f(B,A)),A))) -> f(f(f(C,B),f(B,A)),A)
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [235] f(f(B,A),f(A,f(f(f(C,f(B,A)),A),f(A,D)))) -> f(f(f(C,f(B,A)),A),f(A,D))
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [236] f(B,f(f(B,A),f(B,f(f(B,A),C)))) -> f(B,f(f(B,A),C))
% Rule
% [204]
% f(f(B,B),f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C)))) ->
% f(f(B,B),f(f(f(B,B),A),C)) collapsed.
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [237] f(B,f(f(f(A,f(B,B)),f(f(B,B),C)),f(f(f(B,B),C),D))) -> f(B,B)
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [238]
% f(f(f(B,A),f(f(f(C,A),f(A,D)),f(f(A,D),V_4))),A) ->
% f(A,f(f(B,A),f(f(f(C,A),f(A,D)),f(f(A,D),V_4))))
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [239] f(f(f(B,f(A,C)),f(f(A,C),f(C,D))),f(C,C)) -> C
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [240] f(f(f(f(B,f(B,f(f(A,A),C))),C),A),C) -> f(C,C)
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [241]
% f(B,f(f(A,B),f(f(C,f(A,B)),f(f(A,B),f(D,B))))) ->
% f(f(C,f(A,B)),f(f(A,B),f(D,B)))
% Current number of equations to process: 1242
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [242]
% f(f(B,A),f(A,f(f(B,A),f(f(f(C,A),f(A,D)),f(f(A,D),V_4))))) ->
% f(f(B,A),f(f(f(C,A),f(A,D)),f(f(A,D),V_4)))
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [243]
% f(f(B,A),f(f(C,f(B,A)),f(f(D,f(C,f(B,A))),f(f(C,f(B,A)),B)))) ->
% f(f(D,f(C,f(B,A))),f(f(C,f(B,A)),B))
% Current number of equations to process: 1242
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [244]
% f(B,f(f(B,f(f(A,C),f(C,D))),f(f(f(V_4,B),f(B,f(f(A,C),f(C,D)))),C))) ->
% f(f(f(V_4,B),f(B,f(f(A,C),f(C,D)))),C)
% Current number of equations to process: 1241
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [245]
% f(B,f(f(B,A),f(f(f(B,f(f(C,B),f(B,D))),f(B,A)),f(f(B,A),V_4)))) ->
% f(f(f(B,f(f(C,B),f(B,D))),f(B,A)),f(f(B,A),V_4))
% Current number of equations to process: 1240
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [246] f(f(B,B),f(f(f(B,B),A),f(A,C))) -> f(f(B,B),A)
% Current number of equations to process: 1260
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [247] f(B,f(f(A,f(C,f(B,B))),f(f(C,f(B,B)),f(f(B,B),D)))) -> f(B,B)
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [248] f(f(f(f(B,A),f(A,C)),D),f(A,A)) -> A
% Rule [27] f(f(f(f(f(B,B),B),f(B,f(B,B))),A),f(B,B)) -> B collapsed.
% Rule [227] f(f(f(f(B,A),f(A,C)),f(f(A,C),D)),f(A,A)) -> A collapsed.
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [249] f(f(f(B,f(A,f(C,C))),f(f(A,f(C,C)),f(f(C,C),D))),C) -> f(C,C)
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [250] f(f(B,f(f(A,f(C,C)),f(f(C,C),D))),C) -> f(C,C)
% Rule [73] f(f(B,f(f(A,f(C,C)),f(f(C,C),C))),C) -> f(C,C) collapsed.
% Rule
% [165] f(f(B,f(f(f(f(f(A,A),A),f(A,f(A,A))),f(A,A)),f(f(A,A),C))),A) -> f(A,A)
% collapsed.
% Rule [249] f(f(f(B,f(A,f(C,C))),f(f(A,f(C,C)),f(f(C,C),D))),C) -> f(C,C)
% collapsed.
% Current number of equations to process: 1289
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced : [251] f(f(f(f(B,f(A,A)),f(C,f(A,A))),D),A) -> f(A,A)
% Current number of equations to process: 1289
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [252]
% f(f(f(B,A),f(A,C)),f(f(f(f(B,A),f(A,C)),D),f(D,V_4))) ->
% f(f(f(B,A),f(A,C)),D)
% Current number of equations to process: 1293
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [253]
% f(f(f(B,A),f(f(C,f(D,A)),f(f(D,A),f(A,V_4)))),A) ->
% f(A,f(f(B,A),f(f(C,f(D,A)),f(f(D,A),f(A,V_4)))))
% Rule
% [183]
% f(f(f(A,C),f(f(B,f(A,C)),f(f(A,C),f(C,D)))),C) ->
% f(f(B,f(A,C)),f(f(A,C),f(C,D))) collapsed.
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [254] f(f(B,f(f(f(f(A,f(C,C)),f(f(C,C),D)),C),f(C,V_4))),f(C,C)) -> C
% Current number of equations to process: 1308
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [255] f(f(f(f(f(B,B),A),f(f(B,B),A)),C),B) -> f(B,B)
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [256]
% f(f(f(f(f(B,B),f(f(A,f(B,B)),f(f(B,B),C))),f(f(B,B),D)),V_4),B) -> f(B,B)
% Current number of equations to process: 1333
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [257] f(B,f(f(f(B,f(B,f(A,B))),B),f(A,A))) -> f(B,B)
% Rule
% [85]
% f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),f(B,f(f(f(B,f(B,f(D,B))),B),f(D,D))))
% -> B collapsed.
% Current number of equations to process: 1348
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [258] f(f(B,A),f(B,f(f(f(f(f(B,B),C),f(f(f(B,B),C),f(f(D,D),B))),B),D))) -> B
% Current number of equations to process: 1365
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [259] f(f(B,A),f(A,f(f(f(f(f(A,A),C),f(f(f(A,A),C),f(f(D,D),A))),A),D))) -> A
% Current number of equations to process: 1364
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [260]
% f(f(f(f(B,f(A,A)),f(f(f(C,f(A,A)),f(f(A,A),D)),f(f(f(A,A),D),V_4))),V_5),A)
% -> f(A,A)
% Current number of equations to process: 1363
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [261]
% f(f(f(f(B,f(A,A)),f(f(C,f(D,f(A,A))),f(f(D,f(A,A)),f(f(A,A),V_4)))),V_5),A)
% -> f(A,A)
% Current number of equations to process: 1362
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [262] f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)) -> f(B,B)
% Rule [1] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(f(B,f(B,f(f(C,C),A))),A),C))) -> A
% collapsed.
% Rule
% [2]
% f(B,f(f(B,A),f(f(f(f(C,B),f(f(C,B),f(f(D,D),f(B,A)))),f(B,A)),D))) -> f(B,A)
% collapsed.
% Rule
% [3]
% f(f(f(f(B,A),f(A,C)),D),f(A,f(f(f(f(V_4,f(f(f(B,A),f(A,C)),D)),f(f(V_4,
% f(f(
% f(B,A),
% f(A,C)),D)),
% f(f(V_5,V_5),A))),A),V_5)))
% -> A collapsed.
% Rule
% [4] f(f(B,A),f(B,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(f(D,D),B))),B),D))) -> B
% collapsed.
% Rule [5] f(f(B,A),f(A,f(f(f(B,f(B,f(f(C,C),A))),A),C))) -> A collapsed.
% Rule [7] f(f(B,A),f(B,f(f(f(C,f(C,f(f(A,A),B))),B),A))) -> B collapsed.
% Rule
% [8] f(f(B,A),f(A,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(f(D,D),A))),A),D))) -> A
% collapsed.
% Rule
% [9]
% f(B,f(f(A,B),f(f(f(f(C,B),f(f(C,B),f(f(D,D),f(A,B)))),f(A,B)),D))) -> f(A,B)
% collapsed.
% Rule [11] f(f(B,f(f(A,C),f(C,D))),f(C,f(f(f(A,f(A,f(f(D,D),C))),C),D))) -> C
% collapsed.
% Rule
% [13]
% f(B,f(f(A,B),f(f(f(C,f(C,f(f(f(B,D),f(B,D)),f(A,B)))),f(A,B)),f(B,D)))) ->
% f(A,B) collapsed.
% Rule
% [25]
% f(B,f(f(A,B),f(f(f(C,f(C,f(f(f(D,B),f(D,B)),f(A,B)))),f(A,B)),f(D,B)))) ->
% f(A,B) collapsed.
% Rule
% [32]
% f(f(B,A),f(f(C,f(B,A)),f(f(f(D,f(D,f(f(B,B),f(C,f(B,A))))),f(C,f(B,A))),B)))
% -> f(C,f(B,A)) collapsed.
% Rule
% [33]
% f(f(B,A),f(f(C,f(B,A)),f(f(f(D,f(D,f(f(A,A),f(C,f(B,A))))),f(C,f(B,A))),A)))
% -> f(C,f(B,A)) collapsed.
% Rule [72] f(B,f(f(f(B,f(B,f(f(A,A),B))),B),A)) -> f(B,B) collapsed.
% Rule
% [93]
% f(f(f(B,B),A),f(f(B,B),f(f(f(f(C,B),f(f(C,B),f(f(D,D),f(B,B)))),f(B,B)),D)))
% -> f(B,B) collapsed.
% Rule
% [96]
% f(f(B,f(A,A)),f(f(A,A),f(f(f(f(C,A),f(f(C,A),f(f(D,D),f(A,A)))),f(A,A)),D)))
% -> f(A,A) collapsed.
% Rule
% [116]
% f(f(B,B),f(f(f(B,B),A),f(f(f(B,f(B,f(f(C,C),f(f(B,B),A)))),f(f(B,B),A)),C)))
% -> f(f(B,B),A) collapsed.
% Rule
% [117]
% f(f(B,B),f(f(A,f(B,B)),f(f(f(B,f(B,f(f(C,C),f(A,f(B,B))))),f(A,f(B,B))),C)))
% -> f(A,f(B,B)) collapsed.
% Rule
% [138]
% f(f(f(B,B),A),f(f(B,B),f(f(f(f(B,C),f(f(B,C),f(f(D,D),f(B,B)))),f(B,B)),D)))
% -> f(B,B) collapsed.
% Rule
% [139]
% f(f(B,f(A,A)),f(f(A,A),f(f(f(f(A,C),f(f(A,C),f(f(D,D),f(A,A)))),f(A,A)),D)))
% -> f(A,A) collapsed.
% Rule
% [170]
% f(f(B,A),f(B,f(f(f(C,f(C,f(f(f(f(B,B),D),f(f(B,B),D)),B))),B),f(f(B,B),D))))
% -> B collapsed.
% Rule
% [173]
% f(f(B,A),f(A,f(f(f(C,f(C,f(f(f(f(A,A),D),f(f(A,A),D)),A))),A),f(f(A,A),D))))
% -> A collapsed.
% Rule [196] f(B,f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),D)) -> f(B,B)
% collapsed.
% Rule
% [199] f(f(B,A),f(B,f(f(f(f(C,f(B,B)),f(f(C,f(B,B)),f(f(D,D),B))),B),D))) -> B
% collapsed.
% Rule
% [200] f(f(B,A),f(A,f(f(f(f(C,f(A,A)),f(f(C,f(A,A)),f(f(D,D),A))),A),D))) -> A
% collapsed.
% Rule [203] f(f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),D),B) -> f(B,B)
% collapsed.
% Rule [206] f(B,f(f(f(A,f(A,f(f(B,B),B))),B),B)) -> f(B,B) collapsed.
% Rule
% [209]
% f(f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)),f(B,f(f(f(A,f(A,f(f(C,C),B))),B),C)))
% -> B collapsed.
% Rule
% [258] f(f(B,A),f(B,f(f(f(f(f(B,B),C),f(f(f(B,B),C),f(f(D,D),B))),B),D))) -> B
% collapsed.
% Rule
% [259] f(f(B,A),f(A,f(f(f(f(f(A,A),C),f(f(f(A,A),C),f(f(D,D),A))),A),D))) -> A
% collapsed.
% Current number of equations to process: 1408
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [263] f(f(B,f(f(A,C),f(C,D))),f(C,C)) -> C
% Rule [132] f(f(B,f(f(f(A,A),A),f(A,f(A,A)))),f(A,A)) -> A collapsed.
% Rule [239] f(f(f(B,f(A,C)),f(f(A,C),f(C,D))),f(C,C)) -> C collapsed.
% Rule [254] f(f(B,f(f(f(f(A,f(C,C)),f(f(C,C),D)),C),f(C,V_4))),f(C,C)) -> C
% collapsed.
% Current number of equations to process: 1407
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [264] f(B,f(f(B,A),f(f(f(C,f(C,f(B,f(B,A)))),f(B,A)),f(B,B)))) -> f(B,A)
% Current number of equations to process: 1505
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [265] f(f(B,A),f(A,f(f(f(B,f(B,f(A,A))),A),f(f(C,f(A,A)),f(C,f(A,A)))))) -> A
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [266] f(f(B,A),f(A,f(f(f(B,f(B,f(A,A))),A),f(f(f(A,A),C),f(f(A,A),C))))) -> A
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [267]
% f(B,f(f(f(B,B),B),f(f(f(A,f(A,f(B,B))),f(f(B,B),B)),f(B,B)))) -> f(f(B,B),B)
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [268] f(f(B,A),f(B,f(f(f(f(C,f(B,B)),f(f(C,f(B,B)),f(D,B))),B),f(D,D)))) -> B
% Current number of equations to process: 1868
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [269] f(f(B,A),f(B,f(f(f(f(f(B,B),C),f(f(f(B,B),C),f(D,B))),B),f(D,D)))) -> B
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [270] f(f(B,A),f(A,f(f(f(f(C,f(A,A)),f(f(C,f(A,A)),f(D,A))),A),f(D,D)))) -> A
% Current number of equations to process: 1866
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [271] f(f(B,A),f(A,f(f(f(f(f(A,A),C),f(f(f(A,A),C),f(D,A))),A),f(D,D)))) -> A
% Current number of equations to process: 1865
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [272]
% f(f(f(f(B,f(A,A)),f(f(B,f(A,A)),f(A,A))),f(f(A,A),C)),f(A,A)) -> f(f(A,A),C)
% Current number of equations to process: 1864
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [273]
% f(B,f(f(f(B,f(B,f(f(A,f(f(C,A),f(A,D))),B))),B),f(f(C,A),f(A,D)))) -> f(B,B)
% Current number of equations to process: 2029
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [274]
% f(B,f(f(f(B,f(B,f(f(f(A,C),f(C,D)),B))),B),f(C,f(f(A,C),f(C,D))))) -> f(B,B)
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [275]
% f(f(B,f(A,A)),f(f(A,A),f(f(f(B,f(B,A)),f(A,A)),f(f(A,C),f(A,C))))) -> f(A,A)
% Current number of equations to process: 2027
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [276]
% f(f(B,f(A,A)),f(f(A,A),f(f(f(B,f(B,A)),f(A,A)),f(f(C,A),f(C,A))))) -> f(A,A)
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [277] f(f(f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))),D),B) -> f(B,B)
% Current number of equations to process: 2081
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [278] f(f(A,f(B,f(f(f(C,f(C,f(D,B))),B),f(D,D)))),B) -> f(B,B)
% Current number of equations to process: 2097
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [279] f(f(f(f(A,f(A,f(C,B))),B),f(C,C)),B) -> f(B,B)
% Current number of equations to process: 2119
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [280] f(B,f(f(f(A,f(B,B)),f(f(B,B),C)),D)) -> f(B,B)
% Rule [237] f(B,f(f(f(A,f(B,B)),f(f(B,B),C)),f(f(f(B,B),C),D))) -> f(B,B)
% collapsed.
% Current number of equations to process: 2132
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [281] f(f(B,B),f(f(f(A,B),f(B,C)),D)) -> B
% Current number of equations to process: 2146
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [282]
% f(f(B,A),f(f(f(B,A),f(f(f(A,C),f(A,C)),D)),A)) ->
% f(f(B,A),f(f(f(A,C),f(A,C)),D))
% Current number of equations to process: 2187
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [283]
% f(f(B,A),f(f(f(B,A),f(f(f(C,A),f(D,A)),V_4)),A)) ->
% f(f(B,A),f(f(f(C,A),f(D,A)),V_4))
% Current number of equations to process: 2186
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [284] f(f(B,A),f(A,f(f(f(B,f(B,f(A,A))),A),f(f(C,f(A,A)),f(f(A,A),D))))) -> A
% Current number of equations to process: 2283
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [285]
% f(f(B,f(A,A)),f(f(A,A),f(f(f(B,f(B,A)),f(A,A)),f(f(C,A),f(A,D))))) -> f(A,A)
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [286] f(f(B,f(f(f(A,f(C,B)),B),f(B,D))),f(C,B)) -> f(f(f(A,f(C,B)),B),f(B,D))
% Current number of equations to process: 2371
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [287]
% f(f(f(f(B,f(A,f(C,C))),f(C,C)),D),f(f(A,f(C,C)),f(A,f(C,C)))) -> f(A,f(C,C))
% Current number of equations to process: 2369
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [288]
% f(f(B,A),f(f(f(f(C,f(B,A)),A),D),f(f(f(C,f(B,A)),A),D))) ->
% f(f(f(C,f(B,A)),A),D)
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [289]
% f(f(B,A),f(A,f(f(B,A),f(f(C,f(D,A)),f(f(D,A),f(A,V_4)))))) ->
% f(f(B,A),f(f(C,f(D,A)),f(f(D,A),f(A,V_4))))
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [290]
% f(f(B,f(A,A)),f(B,f(f(f(f(C,f(f(A,B),f(A,B))),f(f(A,B),f(A,B))),B),f(A,A))))
% -> B
% Current number of equations to process: 2441
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [291]
% f(f(B,f(A,A)),f(B,f(f(f(f(f(f(A,B),f(A,B)),C),f(f(A,B),f(A,B))),B),f(A,A))))
% -> B
% Current number of equations to process: 2440
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [292]
% f(f(B,A),f(B,f(f(f(f(f(f(C,B),f(C,B)),f(B,A)),f(f(C,B),f(C,B))),B),f(C,C))))
% -> B
% Current number of equations to process: 2438
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [293]
% f(f(B,A),f(A,f(f(f(f(f(f(C,A),f(C,A)),f(B,A)),f(f(C,A),f(C,A))),A),f(C,C))))
% -> A
% Current number of equations to process: 2437
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [294]
% f(f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))),f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))))
% -> B
% Current number of equations to process: 2437
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [295]
% f(B,f(f(f(A,A),B),f(f(f(f(C,B),f(f(C,B),f(A,A))),f(f(A,A),B)),f(A,A)))) ->
% f(f(A,A),B)
% Current number of equations to process: 2436
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [296]
% f(f(B,A),f(A,f(f(f(B,f(B,f(A,f(f(C,A),f(A,D))))),A),f(A,f(f(C,A),f(A,D))))))
% -> A
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [297]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,D),f(V_4,D)),A))),A),f(D,f(f(C,D),f(V_4,D))))))
% -> A
% Current number of equations to process: 2434
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [298]
% f(f(f(B,B),f(A,f(f(B,B),C))),f(f(B,B),f(A,f(f(B,B),C)))) ->
% f(f(f(B,B),C),f(f(B,B),f(A,f(f(B,B),C))))
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [299]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(C,f(f(D,C),f(V_4,C))),A))),A),f(f(D,C),f(V_4,C)))))
% -> A
% Current number of equations to process: 2430
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [300]
% f(f(f(f(B,f(f(A,B),f(C,B))),f(C,B)),D),f(B,f(f(A,B),f(C,B)))) ->
% f(f(A,B),f(C,B))
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [301]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(C,D)),C),f(C,f(f(A,C),f(C,D)))) ->
% f(f(A,C),f(C,D))
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [302]
% f(f(f(f(f(B,A),f(f(C,f(B,A)),B)),B),D),f(f(B,A),f(f(C,f(B,A)),B))) ->
% f(f(C,f(B,A)),B)
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [303] f(f(B,A),f(f(f(C,f(C,f(A,f(B,A)))),f(B,A)),f(A,A))) -> f(f(B,A),f(B,A))
% Rule [77] f(B,f(f(A,B),f(f(f(C,f(C,f(B,f(A,B)))),f(A,B)),f(B,B)))) -> f(A,B)
% collapsed.
% Rule
% [94]
% f(f(f(f(B,f(A,C)),C),D),f(f(A,C),f(f(f(B,f(B,f(C,f(A,C)))),f(A,C)),f(C,C))))
% -> f(A,C) collapsed.
% Rule
% [95]
% f(f(B,f(f(A,f(C,D)),D)),f(f(C,D),f(f(f(A,f(A,f(D,f(C,D)))),f(C,D)),f(D,D))))
% -> f(C,D) collapsed.
% Rule
% [207]
% f(f(f(B,B),A),f(f(B,B),f(f(f(C,f(C,f(B,f(B,B)))),f(B,B)),f(B,B)))) -> f(B,B)
% collapsed.
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [304] f(f(f(f(B,f(A,C)),C),D),f(f(A,C),f(A,C))) -> f(A,C)
% Rule
% [287]
% f(f(f(f(B,f(A,f(C,C))),f(C,C)),D),f(f(A,f(C,C)),f(A,f(C,C)))) -> f(A,f(C,C))
% collapsed.
% Current number of equations to process: 2477
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [305] 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: 2476
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [306] f(f(f(B,A),f(f(C,f(B,A)),B)),f(C,f(B,A))) -> f(f(C,f(B,A)),B)
% Current number of equations to process: 2489
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [307] f(f(f(B,A),f(f(C,f(B,A)),A)),f(C,f(B,A))) -> f(f(C,f(B,A)),A)
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [308] f(B,f(f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))),D)) -> f(B,B)
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [309] f(f(B,f(f(A,B),f(C,B))),f(A,B)) -> f(f(A,B),f(C,B))
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [310] f(B,f(A,f(B,f(f(f(C,f(C,f(D,B))),B),f(D,D))))) -> f(B,B)
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [311] f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))) -> f(B,B)
% Rule [74] f(f(B,A),f(A,f(f(f(B,f(B,f(C,A))),A),f(C,C)))) -> A collapsed.
% Rule [76] f(f(B,f(A,A)),f(B,f(f(f(C,f(C,f(A,B))),B),f(A,A)))) -> B collapsed.
% Rule
% [78] f(f(f(f(B,A),f(A,f(C,C))),D),f(A,f(f(f(B,f(B,f(C,A))),A),f(C,C)))) -> A
% collapsed.
% Rule
% [79] f(f(B,A),f(B,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(D,B))),B),f(D,D)))) -> B
% collapsed.
% Rule
% [80] f(f(B,A),f(A,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(D,A))),A),f(D,D)))) -> A
% collapsed.
% Rule
% [81] f(f(B,f(f(A,C),f(C,f(D,D)))),f(C,f(f(f(A,f(A,f(D,C))),C),f(D,D)))) -> C
% collapsed.
% Rule
% [82]
% f(B,f(f(B,A),f(f(f(f(C,B),f(f(C,B),f(D,f(B,A)))),f(B,A)),f(D,D)))) -> f(B,A)
% collapsed.
% Rule
% [83]
% f(B,f(f(A,B),f(f(f(f(C,B),f(f(C,B),f(D,f(A,B)))),f(A,B)),f(D,D)))) -> f(A,B)
% collapsed.
% Rule [257] f(B,f(f(f(B,f(B,f(A,B))),B),f(A,A))) -> f(B,B) collapsed.
% Rule [264] f(B,f(f(B,A),f(f(f(C,f(C,f(B,f(B,A)))),f(B,A)),f(B,B)))) -> f(B,A)
% collapsed.
% Rule
% [268] f(f(B,A),f(B,f(f(f(f(C,f(B,B)),f(f(C,f(B,B)),f(D,B))),B),f(D,D)))) -> B
% collapsed.
% Rule
% [269] f(f(B,A),f(B,f(f(f(f(f(B,B),C),f(f(f(B,B),C),f(D,B))),B),f(D,D)))) -> B
% collapsed.
% Rule
% [270] f(f(B,A),f(A,f(f(f(f(C,f(A,A)),f(f(C,f(A,A)),f(D,A))),A),f(D,D)))) -> A
% collapsed.
% Rule
% [271] f(f(B,A),f(A,f(f(f(f(f(A,A),C),f(f(f(A,A),C),f(D,A))),A),f(D,D)))) -> A
% collapsed.
% Rule [277] f(f(f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))),D),B) -> f(B,B)
% collapsed.
% Rule [278] f(f(A,f(B,f(f(f(C,f(C,f(D,B))),B),f(D,D)))),B) -> f(B,B)
% collapsed.
% Rule
% [294]
% f(f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))),f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))))
% -> B collapsed.
% Rule
% [303] f(f(B,A),f(f(f(C,f(C,f(A,f(B,A)))),f(B,A)),f(A,A))) -> f(f(B,A),f(B,A))
% collapsed.
% Rule [308] f(B,f(f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))),D)) -> f(B,B)
% collapsed.
% Rule [310] f(B,f(A,f(B,f(f(f(C,f(C,f(D,B))),B),f(D,D))))) -> f(B,B)
% collapsed.
% Current number of equations to process: 2564
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [312]
% f(f(f(A,B),f(f(f(C,B),f(B,D)),V_4)),B) ->
% f(B,f(f(A,B),f(f(f(C,B),f(B,D)),V_4)))
% Rule
% [90]
% f(f(B,A),f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),A)) ->
% f(f(B,A),f(f(f(C,A),f(A,D)),V_4)) collapsed.
% Rule
% [168]
% f(f(f(f(B,A),f(A,C)),D),f(f(f(V_4,A),f(f(f(B,A),f(A,C)),D)),A)) ->
% f(f(V_4,A),f(f(f(B,A),f(A,C)),D)) collapsed.
% Rule
% [175]
% f(f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),V_5),f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),A))
% -> f(f(B,A),f(f(f(C,A),f(A,D)),V_4)) collapsed.
% Rule
% [177]
% f(f(B,f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))),f(f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5)),C))
% -> f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5)) collapsed.
% Rule
% [238]
% f(f(f(B,A),f(f(f(C,A),f(A,D)),f(f(A,D),V_4))),A) ->
% f(A,f(f(B,A),f(f(f(C,A),f(A,D)),f(f(A,D),V_4)))) collapsed.
% Current number of equations to process: 2570
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [313] f(f(f(B,A),f(f(C,f(B,A)),A)),f(D,f(f(C,f(B,A)),A))) -> f(f(C,f(B,A)),A)
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [314]
% f(f(B,A),f(A,f(f(B,A),f(f(f(C,A),f(A,D)),V_4)))) ->
% f(f(B,A),f(f(f(C,A),f(A,D)),V_4))
% Rule
% [242]
% f(f(B,A),f(A,f(f(B,A),f(f(f(C,A),f(A,D)),f(f(A,D),V_4))))) ->
% f(f(B,A),f(f(f(C,A),f(A,D)),f(f(A,D),V_4))) collapsed.
% Current number of equations to process: 2571
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [315]
% f(f(f(f(B,A),f(A,C)),f(f(B,A),D)),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(A,C)),f(f(B,A),D)))
% Current number of equations to process: 2570
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [316]
% f(f(f(f(B,A),f(A,C)),B),f(f(f(B,A),f(A,C)),B)) ->
% f(f(B,A),f(f(f(B,A),f(A,C)),B))
% Current number of equations to process: 2569
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [317]
% f(f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C))),f(B,B)) ->
% f(f(B,B),f(f(f(B,B),A),C))
% Current number of equations to process: 2575
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [318]
% f(f(B,A),f(f(C,f(f(D,f(B,A)),A)),f(C,f(f(D,f(B,A)),A)))) ->
% f(C,f(f(D,f(B,A)),A))
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [319] f(B,f(A,f(f(C,f(B,B)),f(f(B,B),D)))) -> f(B,B)
% Rule [247] f(B,f(f(A,f(C,f(B,B))),f(f(C,f(B,B)),f(f(B,B),D)))) -> f(B,B)
% collapsed.
% Rule
% [284] f(f(B,A),f(A,f(f(f(B,f(B,f(A,A))),A),f(f(C,f(A,A)),f(f(A,A),D))))) -> A
% collapsed.
% Current number of equations to process: 2588
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [320] f(f(B,B),f(A,f(f(C,B),f(B,D)))) -> B
% Rule
% [285]
% f(f(B,f(A,A)),f(f(A,A),f(f(f(B,f(B,A)),f(A,A)),f(f(C,A),f(A,D))))) -> f(A,A)
% collapsed.
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [321]
% f(f(B,A),f(f(f(B,A),f(C,f(f(A,D),f(A,D)))),A)) ->
% f(f(B,A),f(C,f(f(A,D),f(A,D))))
% Current number of equations to process: 2628
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [322]
% f(f(f(A,B),f(C,f(f(D,B),f(B,V_4)))),B) ->
% f(B,f(f(A,B),f(C,f(f(D,B),f(B,V_4)))))
% Rule
% [103]
% f(f(B,A),f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),A)) ->
% f(f(B,A),f(C,f(f(D,A),f(A,V_4)))) collapsed.
% Rule
% [169]
% f(f(B,f(f(A,C),f(C,D))),f(f(f(V_4,C),f(B,f(f(A,C),f(C,D)))),C)) ->
% f(f(V_4,C),f(B,f(f(A,C),f(C,D)))) collapsed.
% Rule
% [176]
% f(f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),V_5),f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),A))
% -> f(f(B,A),f(C,f(f(D,A),f(A,V_4)))) collapsed.
% Rule
% [178]
% f(f(B,f(f(A,C),f(D,f(f(V_4,C),f(C,V_5))))),f(f(f(A,C),f(D,f(f(V_4,C),
% f(C,V_5)))),C)) ->
% f(f(A,C),f(D,f(f(V_4,C),f(C,V_5)))) collapsed.
% Rule
% [253]
% f(f(f(B,A),f(f(C,f(D,A)),f(f(D,A),f(A,V_4)))),A) ->
% f(A,f(f(B,A),f(f(C,f(D,A)),f(f(D,A),f(A,V_4))))) collapsed.
% Current number of equations to process: 2650
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [323]
% f(f(B,A),f(A,f(f(B,A),f(C,f(f(D,A),f(A,V_4)))))) ->
% f(f(B,A),f(C,f(f(D,A),f(A,V_4))))
% Rule
% [289]
% f(f(B,A),f(A,f(f(B,A),f(f(C,f(D,A)),f(f(D,A),f(A,V_4)))))) ->
% f(f(B,A),f(f(C,f(D,A)),f(f(D,A),f(A,V_4)))) collapsed.
% Current number of equations to process: 2660
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [324]
% f(B,f(f(A,B),f(f(f(A,B),f(B,C)),f(f(A,B),f(B,D))))) ->
% f(f(f(A,B),f(B,C)),f(f(A,B),f(B,D)))
% Current number of equations to process: 2665
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [325] f(f(f(B,B),A),f(f(B,B),A)) <-> f(f(A,f(B,B)),f(f(B,B),A))
% Current number of equations to process: 2688
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [326] f(f(A,f(B,B)),f(f(B,B),A)) <-> f(f(f(B,B),A),f(f(B,B),A))
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [327] f(f(f(B,A),f(f(C,f(B,A)),B)),B) -> f(f(C,f(B,A)),B)
% Rule
% [302]
% f(f(f(f(f(B,A),f(f(C,f(B,A)),B)),B),D),f(f(B,A),f(f(C,f(B,A)),B))) ->
% f(f(C,f(B,A)),B) collapsed.
% Current number of equations to process: 2716
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [328] f(f(B,f(f(A,B),f(C,B))),f(C,B)) -> f(f(A,B),f(C,B))
% Rule
% [300]
% f(f(f(f(B,f(f(A,B),f(C,B))),f(C,B)),D),f(B,f(f(A,B),f(C,B)))) ->
% f(f(A,B),f(C,B)) collapsed.
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [329]
% f(f(f(B,f(f(A,B),f(C,B))),f(D,B)),B) -> f(B,f(f(B,f(f(A,B),f(C,B))),f(D,B)))
% Current number of equations to process: 2738
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [330]
% f(f(f(B,f(f(A,B),f(B,C))),f(D,B)),B) -> f(B,f(f(B,f(f(A,B),f(B,C))),f(D,B)))
% Current number of equations to process: 2736
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [331]
% f(f(f(B,f(f(A,B),f(C,B))),f(B,D)),B) -> f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D)))
% Current number of equations to process: 2736
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [332] f(f(B,f(f(A,B),f(C,B))),f(D,f(f(A,B),f(C,B)))) -> f(f(A,B),f(C,B))
% Current number of equations to process: 2735
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [333]
% f(f(f(B,B),f(f(A,f(B,B)),C)),f(A,f(B,B))) ->
% f(f(A,f(B,B)),f(f(B,B),f(f(A,f(B,B)),C)))
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [334]
% f(f(B,A),f(B,f(f(B,f(f(C,B),f(D,B))),f(B,A)))) ->
% f(f(B,f(f(C,B),f(D,B))),f(B,A))
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [335]
% f(f(f(B,B),f(A,f(f(B,B),C))),f(f(B,B),C)) ->
% f(f(f(B,B),C),f(f(B,B),f(A,f(f(B,B),C))))
% Current number of equations to process: 2766
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [336]
% f(f(f(f(B,A),f(A,C)),f(D,f(B,A))),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(A,C)),f(D,f(B,A))))
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [337]
% f(f(f(B,B),f(A,f(C,f(B,B)))),f(C,f(B,B))) ->
% f(f(C,f(B,B)),f(f(B,B),f(A,f(C,f(B,B)))))
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [338]
% f(f(B,A),f(A,f(f(A,f(f(C,A),f(A,D))),f(B,A)))) ->
% f(f(A,f(f(C,A),f(A,D))),f(B,A))
% Current number of equations to process: 2763
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [339]
% f(B,f(f(B,A),f(f(C,f(B,A)),f(f(D,B),f(B,A))))) ->
% f(f(C,f(B,A)),f(f(D,B),f(B,A)))
% Current number of equations to process: 2762
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [340]
% f(B,f(f(A,B),f(f(C,f(A,B)),f(f(D,B),f(A,B))))) ->
% f(f(C,f(A,B)),f(f(D,B),f(A,B)))
% Current number of equations to process: 2761
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [341]
% f(f(B,A),f(A,f(f(A,f(f(C,A),f(D,A))),f(B,A)))) ->
% f(f(A,f(f(C,A),f(D,A))),f(B,A))
% Current number of equations to process: 2760
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [342]
% f(f(B,B),f(f(A,f(B,B)),f(f(B,B),f(f(A,f(B,B)),C)))) ->
% f(f(B,B),f(f(A,f(B,B)),C))
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [343]
% f(f(f(f(f(B,B),f(f(A,f(B,B)),f(C,f(B,B)))),f(f(B,B),D)),V_4),B) -> f(B,B)
% Current number of equations to process: 2758
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [344]
% f(f(B,B),f(f(f(B,B),A),f(f(B,B),f(C,f(f(B,B),A))))) ->
% f(f(B,B),f(C,f(f(B,B),A)))
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [345]
% f(f(B,B),f(f(A,f(B,B)),f(f(B,B),f(C,f(A,f(B,B)))))) ->
% f(f(B,B),f(C,f(A,f(B,B))))
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [346]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(A,C)),V_4),f(C,f(f(A,C),f(C,D)))) ->
% f(f(A,C),f(C,D))
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [347]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(C,D)),V_4),f(C,f(f(A,C),f(C,D)))) ->
% f(f(A,C),f(C,D))
% Rule
% [301]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(C,D)),C),f(C,f(f(A,C),f(C,D)))) ->
% f(f(A,C),f(C,D)) collapsed.
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [348]
% f(f(f(B,A),C),f(f(B,A),f(f(f(B,A),f(A,D)),f(f(B,A),C)))) ->
% f(f(f(B,A),f(A,D)),f(f(B,A),C))
% Current number of equations to process: 2856
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [349]
% f(f(B,f(A,C)),f(f(A,C),f(f(f(A,C),f(C,D)),f(B,f(A,C))))) ->
% f(f(f(A,C),f(C,D)),f(B,f(A,C)))
% Current number of equations to process: 2855
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [350]
% f(f(f(B,f(A,A)),C),f(f(B,f(A,A)),f(f(A,A),f(f(B,f(A,A)),C)))) ->
% f(f(A,A),f(f(B,f(A,A)),C))
% Current number of equations to process: 2867
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [351]
% f(f(B,f(f(A,A),C)),f(f(f(A,A),C),f(f(A,A),f(B,f(f(A,A),C))))) ->
% f(f(A,A),f(B,f(f(A,A),C)))
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [352]
% f(f(B,f(A,f(C,C))),f(f(A,f(C,C)),f(f(C,C),f(B,f(A,f(C,C)))))) ->
% f(f(C,C),f(B,f(A,f(C,C))))
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [353]
% f(f(f(f(B,A),f(A,C)),D),f(A,f(f(V_4,A),f(f(f(B,A),f(A,C)),D)))) ->
% f(f(V_4,A),f(f(f(B,A),f(A,C)),D))
% Current number of equations to process: 2864
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [354]
% f(f(B,f(f(A,C),f(C,D))),f(C,f(f(V_4,C),f(B,f(f(A,C),f(C,D)))))) ->
% f(f(V_4,C),f(B,f(f(A,C),f(C,D))))
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [355]
% f(f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D))),f(B,f(f(A,B),f(B,C)))) ->
% f(f(B,f(f(A,B),f(B,C))),f(B,D))
% Current number of equations to process: 2862
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [356]
% f(f(f(B,A),f(A,C)),f(f(B,A),f(f(f(B,A),f(A,C)),f(f(B,A),D)))) ->
% f(f(f(B,A),f(A,C)),f(f(B,A),D))
% Current number of equations to process: 2861
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [357]
% f(f(B,f(f(A,B),f(f(f(C,B),f(B,D)),f(f(B,D),V_4)))),f(A,B)) ->
% f(f(A,B),f(f(f(C,B),f(B,D)),f(f(B,D),V_4)))
% Current number of equations to process: 2860
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [358]
% f(f(B,f(f(A,B),f(f(C,f(D,B)),f(f(D,B),f(B,V_4))))),f(A,B)) ->
% f(f(A,B),f(f(C,f(D,B)),f(f(D,B),f(B,V_4))))
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [359]
% f(f(B,f(A,A)),f(B,f(f(f(f(B,f(f(A,B),f(B,C))),f(f(A,B),f(B,C))),B),f(A,A))))
% -> B
% Current number of equations to process: 2858
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [360]
% f(f(f(B,A),f(f(f(B,A),f(A,C)),f(f(B,A),D))),f(f(B,A),f(A,C))) ->
% f(f(f(B,A),f(A,C)),f(f(B,A),D))
% Current number of equations to process: 2855
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [361]
% f(f(f(f(B,A),f(f(C,f(B,A)),A)),f(f(B,A),D)),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),A)),f(f(B,A),D)))
% Current number of equations to process: 2853
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [362]
% f(f(f(f(B,A),f(f(C,f(B,A)),f(f(B,A),D))),A),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),f(f(B,A),D))),A))
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [363]
% f(B,f(f(A,B),f(f(f(A,B),f(f(C,f(A,B)),f(f(A,B),D))),B))) ->
% f(f(f(A,B),f(f(C,f(A,B)),f(f(A,B),D))),B)
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [364]
% f(f(B,A),f(f(f(B,A),f(C,f(f(D,A),f(f(V_4,f(V_5,A)),A)))),A)) ->
% f(f(B,A),f(C,f(f(D,A),f(f(V_4,f(V_5,A)),A))))
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [365]
% f(f(f(B,B),f(f(A,f(B,B)),C)),f(f(B,B),f(f(A,f(B,B)),C))) ->
% f(f(A,f(B,B)),f(f(B,B),f(f(A,f(B,B)),C)))
% Current number of equations to process: 2850
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [366]
% f(f(f(B,B),f(A,f(C,f(B,B)))),f(f(B,B),f(A,f(C,f(B,B))))) ->
% f(f(C,f(B,B)),f(f(B,B),f(A,f(C,f(B,B)))))
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [367]
% f(f(B,f(f(A,B),f(C,B))),f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D)))) ->
% f(f(B,f(f(A,B),f(C,B))),f(B,D))
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [368]
% f(f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D))),f(B,f(f(A,B),f(C,B)))) ->
% f(f(B,f(f(A,B),f(C,B))),f(B,D))
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [369]
% f(f(f(f(B,A),f(f(C,f(B,A)),f(D,f(B,A)))),A),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),f(D,f(B,A)))),A))
% Current number of equations to process: 2845
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [370]
% f(f(f(f(B,A),f(f(C,f(B,A)),A)),f(D,f(B,A))),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),A)),f(D,f(B,A))))
% Current number of equations to process: 2845
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [371]
% f(B,f(f(A,B),f(f(f(A,B),f(f(C,f(A,B)),f(D,f(A,B)))),B))) ->
% f(f(f(A,B),f(f(C,f(A,B)),f(D,f(A,B)))),B)
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [372]
% f(f(B,f(f(A,B),f(B,C))),f(B,f(f(B,f(f(A,B),f(B,C))),f(D,B)))) ->
% f(f(B,f(f(A,B),f(B,C))),f(D,B))
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [373]
% f(f(f(B,A),f(A,C)),f(f(B,A),f(f(f(B,A),f(A,C)),f(D,f(B,A))))) ->
% f(f(f(B,A),f(A,C)),f(D,f(B,A)))
% Current number of equations to process: 2842
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [374]
% f(f(B,f(f(A,B),f(C,B))),f(B,f(f(B,f(f(A,B),f(C,B))),f(D,B)))) ->
% f(f(B,f(f(A,B),f(C,B))),f(D,B))
% Current number of equations to process: 2841
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [375]
% f(f(B,A),f(f(C,f(B,A)),f(f(D,f(C,f(B,A))),f(f(C,f(B,A)),A)))) ->
% f(f(D,f(C,f(B,A))),f(f(C,f(B,A)),A))
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [376] 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: 2838
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [377] 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: 2834
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [378]
% f(f(B,f(A,C)),f(f(f(B,f(A,C)),f(f(f(D,f(A,C)),A),V_4)),f(A,C))) ->
% f(f(B,f(A,C)),f(f(f(D,f(A,C)),A),V_4))
% Current number of equations to process: 2831
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [379]
% f(f(B,f(A,C)),f(f(f(B,f(A,C)),f(f(f(D,f(A,C)),C),V_4)),f(A,C))) ->
% f(f(B,f(A,C)),f(f(f(D,f(A,C)),C),V_4))
% Current number of equations to process: 2830
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [380]
% f(f(B,f(A,C)),f(f(f(B,f(A,C)),f(D,f(f(V_4,f(A,C)),A))),f(A,C))) ->
% f(f(B,f(A,C)),f(D,f(f(V_4,f(A,C)),A)))
% Current number of equations to process: 2823
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [381]
% f(f(B,f(A,C)),f(f(f(B,f(A,C)),f(D,f(f(V_4,f(A,C)),C))),f(A,C))) ->
% f(f(B,f(A,C)),f(D,f(f(V_4,f(A,C)),C)))
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [382]
% f(f(B,f(f(A,A),C)),f(f(f(A,A),C),f(f(f(B,f(B,f(A,A))),f(f(A,A),C)),f(A,A))))
% -> f(f(A,A),C)
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [383]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,f(D,V_4)),D),A))),A),f(f(D,V_4),f(f(C,
% f(D,V_4)),D)))))
% -> A
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [384]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,f(D,V_4)),V_4),A))),A),f(f(D,V_4),f(
% f(C,
% f(D,V_4)),V_4)))))
% -> A
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [385]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,D),f(f(V_4,f(C,D)),C)),A))),A),f(f(V_4,
% f(C,D)),C))))
% -> A
% Current number of equations to process: 2845
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [386]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,D),f(f(V_4,f(C,D)),D)),A))),A),f(f(V_4,
% f(C,D)),D))))
% -> A
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [387]
% f(f(B,f(A,A)),f(B,f(f(f(f(f(C,f(A,B)),B),f(f(A,B),f(f(C,f(A,B)),B))),B),
% f(A,A)))) -> B
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [388]
% f(f(f(C,B),f(B,D)),f(f(A,f(f(C,B),f(B,D))),f(C,B))) ->
% f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B)))
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [389]
% f(f(f(B,f(f(A,C),f(C,D))),f(C,D)),C) ->
% f(f(f(A,C),f(C,D)),f(f(B,f(f(A,C),f(C,D))),f(C,D)))
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [390]
% f(f(f(B,B),f(f(B,A),f(B,A))),f(f(B,B),f(f(f(C,f(C,B)),f(B,B)),f(f(B,A),
% f(B,A))))) ->
% f(B,B)
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [391]
% f(f(f(B,B),f(f(A,B),f(A,B))),f(f(B,B),f(f(f(C,f(C,B)),f(B,B)),f(f(A,B),
% f(A,B))))) ->
% f(B,B)
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [392]
% f(f(f(B,f(f(A,B),f(B,C))),D),f(f(B,f(f(A,B),f(B,C))),D)) <->
% f(f(D,f(B,f(f(A,B),f(B,C)))),f(f(B,f(f(A,B),f(B,C))),D))
% Current number of equations to process: 2928
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [393]
% f(f(D,f(B,f(f(A,B),f(B,C)))),f(f(B,f(f(A,B),f(B,C))),D)) <->
% f(f(f(B,f(f(A,B),f(B,C))),D),f(f(B,f(f(A,B),f(B,C))),D))
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [394]
% f(f(f(B,f(f(A,B),f(B,C))),f(D,B)),f(f(B,f(f(A,B),f(B,C))),f(D,B))) ->
% f(B,f(f(B,f(f(A,B),f(B,C))),f(D,B)))
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [395]
% f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),f(f(B,A),f(f(f(C,A),f(A,D)),V_4))) ->
% f(A,f(f(B,A),f(f(f(C,A),f(A,D)),V_4)))
% Current number of equations to process: 2926
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [396]
% f(f(A,f(f(B,A),f(A,C))),f(f(f(D,f(f(B,A),f(A,C))),f(f(f(B,A),f(A,C)),V_4)),V_5))
% -> f(f(B,A),f(A,C))
% Current number of equations to process: 2925
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [397]
% f(f(B,A),f(f(f(B,A),f(f(f(A,f(f(C,A),f(A,D))),f(A,V_4)),V_5)),A)) ->
% f(f(B,A),f(f(f(A,f(f(C,A),f(A,D))),f(A,V_4)),V_5))
% Current number of equations to process: 2924
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [398]
% f(f(B,f(A,C)),f(f(A,C),f(f(f(B,f(B,f(f(A,C),f(C,D)))),f(A,C)),f(f(A,C),
% f(C,D))))) ->
% f(A,C)
% Current number of equations to process: 2921
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [399]
% f(B,f(f(A,B),f(f(f(A,B),f(f(C,f(A,B)),B)),f(f(A,B),f(B,D))))) ->
% f(f(f(A,B),f(f(C,f(A,B)),B)),f(f(A,B),f(B,D)))
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [400]
% f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),f(f(B,A),f(C,f(f(D,A),f(A,V_4))))) ->
% f(A,f(f(B,A),f(C,f(f(D,A),f(A,V_4)))))
% Current number of equations to process: 2919
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [401]
% f(f(A,f(f(B,A),f(A,C))),f(D,f(f(V_4,f(f(B,A),f(A,C))),f(f(f(B,A),f(A,C)),V_5))))
% -> f(f(B,A),f(A,C))
% Current number of equations to process: 2918
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [402]
% f(f(B,A),f(f(f(B,A),f(C,f(f(A,f(f(D,A),f(A,V_4))),f(A,V_5)))),A)) ->
% f(f(B,A),f(C,f(f(A,f(f(D,A),f(A,V_4))),f(A,V_5))))
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [403]
% f(f(f(B,f(f(A,B),f(C,B))),f(B,D)),f(f(B,f(f(A,B),f(C,B))),f(B,D))) ->
% f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D)))
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [404]
% f(B,f(f(B,A),f(f(f(B,f(f(C,B),f(D,B))),f(B,A)),f(f(B,A),V_4)))) ->
% f(f(f(B,f(f(C,B),f(D,B))),f(B,A)),f(f(B,A),V_4))
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [405]
% f(f(f(B,f(f(A,B),f(C,B))),f(D,B)),f(f(B,f(f(A,B),f(C,B))),f(D,B))) ->
% f(B,f(f(B,f(f(A,B),f(C,B))),f(D,B)))
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [406]
% f(f(f(f(B,f(f(A,C),f(D,C))),f(f(f(A,C),f(D,C)),V_4)),V_5),f(C,f(f(A,C),
% f(D,C)))) ->
% f(f(A,C),f(D,C))
% Current number of equations to process: 2911
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [407]
% f(f(f(f(f(f(B,A),f(A,C)),D),f(f(f(B,A),f(A,C)),D)),V_4),f(A,f(f(B,A),f(A,C))))
% -> f(f(B,A),f(A,C))
% Current number of equations to process: 2910
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [408]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(V_4,f(f(A,C),f(C,D)))),V_5),f(C,f(f(A,C),
% f(C,D)))) ->
% f(f(A,C),f(C,D))
% Current number of equations to process: 2909
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [409]
% f(f(B,A),f(B,f(f(f(f(C,f(f(f(A,A),B),f(f(A,A),B))),f(f(f(A,A),B),f(f(A,A),B))),B),A)))
% -> B
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [410]
% f(f(f(B,B),A),f(f(B,B),f(f(C,f(B,B)),f(f(B,B),f(f(f(B,B),A),D))))) ->
% f(f(C,f(B,B)),f(f(B,B),f(f(f(B,B),A),D)))
% Current number of equations to process: 2905
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [411]
% f(f(B,A),f(B,f(f(f(f(f(f(f(A,A),B),f(f(A,A),B)),C),f(f(f(A,A),B),f(f(A,A),B))),B),A)))
% -> B
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [412]
% f(f(f(f(B,B),A),f(B,B)),f(f(f(B,B),A),f(f(f(C,f(C,f(B,B))),f(f(B,B),A)),
% f(B,B)))) -> f(f(B,B),A)
% Current number of equations to process: 2903
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [413]
% f(f(B,A),f(B,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(B,B))),B),f(f(D,f(B,B)),
% f(D,f(B,B)))))) -> B
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [414]
% f(f(B,A),f(B,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(B,B))),B),f(f(f(B,B),D),
% f(f(B,B),D))))) -> B
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [415]
% f(f(B,A),f(A,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(A,A))),A),f(f(D,f(A,A)),
% f(D,f(A,A)))))) -> A
% Current number of equations to process: 2900
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [416]
% f(f(B,A),f(A,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(A,A))),A),f(f(f(A,A),D),
% f(f(A,A),D))))) -> A
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [417]
% f(f(f(f(B,A),f(A,C)),f(f(B,A),D)),f(f(f(B,A),f(A,C)),f(f(B,A),D))) ->
% f(f(B,A),f(f(f(B,A),f(A,C)),f(f(B,A),D)))
% Current number of equations to process: 2898
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [418]
% f(f(f(f(B,A),f(A,C)),f(D,f(B,A))),f(f(f(B,A),f(A,C)),f(D,f(B,A)))) ->
% f(f(B,A),f(f(f(B,A),f(A,C)),f(D,f(B,A))))
% Current number of equations to process: 2897
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [419]
% f(f(f(B,A),C),f(f(B,A),f(f(f(B,A),f(f(D,f(B,A)),A)),f(f(B,A),C)))) ->
% f(f(f(B,A),f(f(D,f(B,A)),A)),f(f(B,A),C))
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [420]
% f(f(f(f(B,A),f(f(C,f(B,A)),A)),B),f(f(f(B,A),f(f(C,f(B,A)),A)),B)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),A)),B))
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [421]
% f(f(B,f(A,A)),f(f(A,A),f(f(C,f(A,A)),f(f(A,A),f(f(B,f(A,A)),D))))) ->
% f(f(C,f(A,A)),f(f(A,A),f(f(B,f(A,A)),D)))
% Current number of equations to process: 2894
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [422]
% f(f(B,f(A,C)),f(f(A,C),f(f(f(A,C),f(f(D,f(A,C)),C)),f(B,f(A,C))))) ->
% f(f(f(A,C),f(f(D,f(A,C)),C)),f(B,f(A,C)))
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [423]
% f(f(B,A),f(f(f(C,f(D,f(f(V_4,f(B,A)),B))),f(B,A)),f(D,f(f(V_4,f(B,A)),B))))
% -> f(f(C,f(D,f(f(V_4,f(B,A)),B))),f(B,A))
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [424]
% f(f(B,A),f(f(f(C,f(D,f(f(V_4,f(B,A)),A))),f(B,A)),f(D,f(f(V_4,f(B,A)),A))))
% -> f(f(C,f(D,f(f(V_4,f(B,A)),A))),f(B,A))
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [425]
% f(B,f(f(A,B),f(f(f(C,f(C,f(f(f(D,B),f(B,V_4)),f(A,B)))),f(A,B)),f(B,f(
% f(D,B),
% f(B,V_4))))))
% -> f(A,B)
% Current number of equations to process: 2891
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [426]
% f(f(f(f(B,B),f(f(f(B,B),A),C)),D),f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C))))
% -> f(f(B,B),f(f(f(B,B),A),C))
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [427]
% f(f(B,f(f(A,A),f(f(f(A,A),C),D))),f(f(f(A,A),C),f(f(A,A),f(f(f(A,A),C),D))))
% -> f(f(A,A),f(f(f(A,A),C),D))
% Current number of equations to process: 2886
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [428]
% f(f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C))),f(f(f(B,B),f(f(f(B,B),A),C)),D))
% -> f(f(B,B),f(f(f(B,B),A),C))
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [429]
% f(B,f(f(f(A,f(f(C,A),f(A,D))),B),f(f(A,f(f(C,A),f(A,D))),f(f(V_4,B),f(B,V_5)))))
% -> f(f(A,f(f(C,A),f(A,D))),B)
% Current number of equations to process: 2884
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [430]
% f(B,f(f(f(A,f(f(C,A),f(A,D))),B),f(f(f(V_4,B),f(B,V_5)),f(A,f(f(C,A),f(A,D))))))
% -> f(f(A,f(f(C,A),f(A,D))),B)
% Current number of equations to process: 2883
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [431]
% f(f(B,A),f(f(f(f(C,f(B,A)),A),D),f(f(V_4,f(f(f(C,f(B,A)),A),D)),f(B,A)))) ->
% f(f(V_4,f(f(f(C,f(B,A)),A),D)),f(B,A))
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [432]
% f(f(B,A),f(f(C,f(f(D,f(B,A)),A)),f(f(V_4,f(C,f(f(D,f(B,A)),A))),f(B,A)))) ->
% f(f(V_4,f(C,f(f(D,f(B,A)),A))),f(B,A))
% Current number of equations to process: 2879
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [433]
% f(f(f(f(B,B),f(f(A,f(B,B)),C)),D),f(f(A,f(B,B)),f(f(B,B),f(f(A,f(B,B)),C))))
% -> f(f(B,B),f(f(A,f(B,B)),C))
% Current number of equations to process: 2878
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [434]
% f(f(B,f(f(A,A),f(f(C,f(A,A)),D))),f(f(C,f(A,A)),f(f(A,A),f(f(C,f(A,A)),D))))
% -> f(f(A,A),f(f(C,f(A,A)),D))
% Current number of equations to process: 2877
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [435]
% f(f(f(B,f(A,A)),f(f(A,A),f(f(B,f(A,A)),C))),f(f(f(A,A),f(f(B,f(A,A)),C)),D))
% -> f(f(A,A),f(f(B,f(A,A)),C))
% Current number of equations to process: 2876
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [436]
% f(f(f(f(B,B),f(A,f(f(B,B),C))),D),f(f(f(B,B),C),f(f(B,B),f(A,f(f(B,B),C)))))
% -> f(f(B,B),f(A,f(f(B,B),C)))
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [437]
% f(f(f(f(B,B),f(A,f(C,f(B,B)))),D),f(f(C,f(B,B)),f(f(B,B),f(A,f(C,f(B,B))))))
% -> f(f(B,B),f(A,f(C,f(B,B))))
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [438]
% f(f(B,f(f(A,A),f(C,f(f(A,A),D)))),f(f(f(A,A),D),f(f(A,A),f(C,f(f(A,A),D)))))
% -> f(f(A,A),f(C,f(f(A,A),D)))
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [439]
% f(f(B,f(f(A,A),f(C,f(D,f(A,A))))),f(f(D,f(A,A)),f(f(A,A),f(C,f(D,f(A,A))))))
% -> f(f(A,A),f(C,f(D,f(A,A))))
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [440]
% f(f(f(f(B,f(f(A,f(C,D)),C)),f(f(f(A,f(C,D)),C),V_4)),V_5),f(f(C,D),f(
% f(A,
% f(C,D)),C)))
% -> f(f(A,f(C,D)),C)
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [441]
% f(f(f(f(B,f(f(A,f(C,D)),D)),f(f(f(A,f(C,D)),D),V_4)),V_5),f(f(C,D),f(
% f(A,
% f(C,D)),D)))
% -> f(f(A,f(C,D)),D)
% Current number of equations to process: 2870
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [442]
% f(f(B,A),f(f(f(B,A),f(f(f(C,B),f(B,A)),A)),B)) ->
% f(f(B,A),f(f(f(C,B),f(B,A)),A))
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [443]
% f(f(f(B,B),A),f(f(B,B),A)) <-> f(f(f(f(C,A),f(A,D)),f(B,B)),f(f(B,B),A))
% Current number of equations to process: 3028
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [444]
% f(f(f(f(C,A),f(A,D)),f(B,B)),f(f(B,B),A)) <-> f(f(f(B,B),A),f(f(B,B),A))
% Current number of equations to process: 3028
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [445]
% f(f(f(f(f(B,A),f(A,C)),D),f(f(V_4,f(f(f(B,A),f(A,C)),D)),A)),A) ->
% f(f(V_4,f(f(f(B,A),f(A,C)),D)),A)
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [446]
% f(f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),V_5),f(A,f(f(B,A),f(f(f(C,A),f(A,D)),V_4))))
% -> f(f(B,A),f(f(f(C,A),f(A,D)),V_4))
% Current number of equations to process: 3041
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [447]
% f(f(f(f(B,A),f(C,f(f(D,A),f(A,V_4)))),V_5),f(A,f(f(B,A),f(C,f(f(D,A),
% f(A,V_4)))))) ->
% f(f(B,A),f(C,f(f(D,A),f(A,V_4))))
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [448]
% f(f(B,f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))),f(C,f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))))
% -> f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))
% Current number of equations to process: 3039
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [449]
% f(f(B,f(f(A,C),f(D,f(f(V_4,C),f(C,V_5))))),f(C,f(f(A,C),f(D,f(f(V_4,C),
% f(C,V_5)))))) ->
% f(f(A,C),f(D,f(f(V_4,C),f(C,V_5))))
% Current number of equations to process: 3038
% Current number of ordered equations: 0
% Current number of rules: 292
% Rule [123]
% f(f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)),C) ->
% f(f(f(A,C),f(C,D)),f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4))) is composed into 
% [123]
% f(f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)),C) ->
% f(C,f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)))
% New rule produced :
% [450]
% f(f(f(C,B),f(B,D)),f(f(A,f(f(C,B),f(B,D))),f(f(f(C,B),f(B,D)),V_4))) ->
% f(B,f(f(A,f(f(C,B),f(B,D))),f(f(f(C,B),f(B,D)),V_4)))
% Current number of equations to process: 3036
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [451]
% f(f(f(f(B,f(f(A,B),f(B,C))),f(B,D)),V_4),f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D))))
% -> f(f(B,f(f(A,B),f(B,C))),f(B,D))
% Current number of equations to process: 3031
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [452]
% f(f(B,f(f(A,f(f(C,A),f(A,D))),f(A,V_4))),f(A,f(f(A,f(f(C,A),f(A,D))),
% f(A,V_4)))) ->
% f(f(A,f(f(C,A),f(A,D))),f(A,V_4))
% Current number of equations to process: 3028
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [453]
% f(f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D))),f(f(f(B,f(f(A,B),f(B,C))),f(B,D)),V_4))
% -> f(f(B,f(f(A,B),f(B,C))),f(B,D))
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [454]
% f(f(f(f(B,A),f(A,C)),D),f(A,f(f(f(V_4,f(f(f(B,A),f(A,C)),D)),A),f(A,V_5))))
% -> f(f(f(V_4,f(f(f(B,A),f(A,C)),D)),A),f(A,V_5))
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [455]
% f(f(B,f(f(A,C),f(C,D))),f(C,f(f(f(V_4,f(B,f(f(A,C),f(C,D)))),C),f(C,V_5))))
% -> f(f(f(V_4,f(B,f(f(A,C),f(C,D)))),C),f(C,V_5))
% Current number of equations to process: 3023
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [456]
% f(f(f(f(B,f(A,f(f(C,A),f(A,D)))),f(f(A,f(f(C,A),f(A,D))),V_4)),V_5),f(
% f(C,A),
% f(A,D)))
% -> f(A,f(f(C,A),f(A,D)))
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [457]
% f(f(B,A),f(B,f(f(f(f(f(f(f(C,C),B),f(f(C,C),B)),f(B,A)),f(f(f(C,C),B),
% f(f(C,C),B))),B),C)))
% -> B
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [458]
% f(f(B,A),f(A,f(f(f(f(f(f(f(C,C),A),f(f(C,C),A)),f(B,A)),f(f(f(C,C),A),
% f(f(C,C),A))),A),C)))
% -> A
% Current number of equations to process: 3020
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [459]
% f(f(B,B),f(f(f(f(B,f(B,f(f(A,A),B))),B),A),f(f(f(B,f(B,f(f(A,A),B))),B),A)))
% -> f(f(f(B,f(B,f(f(A,A),B))),B),A)
% Current number of equations to process: 3019
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [460]
% f(f(f(B,f(f(A,C),f(A,C))),C),f(C,f(f(f(f(B,f(f(A,C),f(A,C))),f(f(A,C),f(A,C))),C),
% f(A,A)))) -> C
% Current number of equations to process: 3017
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [461]
% f(f(f(f(f(B,A),f(B,A)),C),A),f(A,f(f(f(f(f(f(B,A),f(B,A)),C),f(f(B,A),f(B,A))),A),
% f(B,B)))) -> A
% Current number of equations to process: 3016
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [462]
% f(f(B,f(f(A,f(B,B)),f(A,f(B,B)))),f(B,f(f(f(C,f(C,f(B,B))),B),f(f(A,f(B,B)),
% f(A,f(B,B))))))
% -> B
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [463]
% f(f(B,f(f(f(B,B),A),f(f(B,B),A))),f(B,f(f(f(C,f(C,f(B,B))),B),f(f(f(B,B),A),
% f(f(B,B),A)))))
% -> B
% Current number of equations to process: 3014
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [464]
% f(f(f(f(B,f(A,f(f(C,A),f(D,A)))),f(f(A,f(f(C,A),f(D,A))),V_4)),V_5),f(
% f(C,A),
% f(D,A)))
% -> f(A,f(f(C,A),f(D,A)))
% Current number of equations to process: 3012
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [465]
% f(f(f(A,B),f(B,C)),f(f(f(D,f(B,f(f(A,B),f(B,C)))),f(f(B,f(f(A,B),f(B,C))),V_4)),V_5))
% -> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 3011
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [466]
% f(f(f(f(B,f(f(A,A),A)),A),C),f(f(f(A,A),A),f(f(f(B,f(B,f(A,A))),f(f(A,A),A)),
% f(A,A)))) -> f(f(A,A),A)
% Current number of equations to process: 3009
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [467]
% f(f(f(B,f(f(f(A,f(C,D)),D),V_4)),f(C,D)),f(f(f(A,f(C,D)),D),V_4)) ->
% f(f(f(f(A,f(C,D)),D),V_4),f(f(B,f(f(f(A,f(C,D)),D),V_4)),f(C,D)))
% Rule
% [182]
% f(f(B,A),f(f(f(C,f(f(f(D,f(B,A)),A),V_4)),f(B,A)),f(f(f(D,f(B,A)),A),V_4)))
% -> f(f(C,f(f(f(D,f(B,A)),A),V_4)),f(B,A)) collapsed.
% Current number of equations to process: 3008
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [468]
% f(f(f(B,f(f(A,B),f(B,C))),B),f(B,f(f(f(f(B,f(f(A,B),f(B,C))),f(f(A,B),f(B,C))),B),
% f(A,A)))) -> B
% Current number of equations to process: 3007
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [469]
% f(f(f(f(B,f(A,C)),C),C),f(C,f(f(f(f(f(B,f(A,C)),C),f(f(A,C),f(f(B,f(A,C)),C))),C),
% f(A,A)))) -> C
% Current number of equations to process: 3006
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [470]
% f(f(f(A,B),f(B,C)),f(D,f(f(V_4,f(B,f(f(A,B),f(B,C)))),f(f(B,f(f(A,B),f(B,C))),V_5))))
% -> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 3005
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [471]
% f(f(f(f(B,f(f(A,B),f(C,B))),f(B,D)),V_4),f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D))))
% -> f(f(B,f(f(A,B),f(C,B))),f(B,D))
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [472]
% f(f(B,f(f(A,f(f(C,A),f(D,A))),f(A,V_4))),f(A,f(f(A,f(f(C,A),f(D,A))),
% f(A,V_4)))) ->
% f(f(A,f(f(C,A),f(D,A))),f(A,V_4))
% Current number of equations to process: 3003
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [473]
% f(f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D))),f(f(f(B,f(f(A,B),f(C,B))),f(B,D)),V_4))
% -> f(f(B,f(f(A,B),f(C,B))),f(B,D))
% Current number of equations to process: 3002
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [474]
% f(f(f(f(B,f(f(A,B),f(B,C))),f(D,B)),V_4),f(B,f(f(B,f(f(A,B),f(B,C))),f(D,B))))
% -> f(f(B,f(f(A,B),f(B,C))),f(D,B))
% Current number of equations to process: 3001
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [475]
% f(f(f(f(B,f(f(A,B),f(C,B))),f(D,B)),V_4),f(B,f(f(B,f(f(A,B),f(C,B))),f(D,B))))
% -> f(f(B,f(f(A,B),f(C,B))),f(D,B))
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [476]
% f(f(B,f(f(A,f(f(C,A),f(A,D))),f(V_4,A))),f(A,f(f(A,f(f(C,A),f(A,D))),
% f(V_4,A)))) ->
% f(f(A,f(f(C,A),f(A,D))),f(V_4,A))
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [477]
% f(f(B,f(f(A,f(f(C,A),f(D,A))),f(V_4,A))),f(A,f(f(A,f(f(C,A),f(D,A))),
% f(V_4,A)))) ->
% f(f(A,f(f(C,A),f(D,A))),f(V_4,A))
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [478]
% f(f(f(B,f(f(A,C),f(A,C))),f(f(f(A,C),f(A,C)),D)),A) ->
% f(f(f(A,C),f(A,C)),f(f(B,f(f(A,C),f(A,C))),f(f(f(A,C),f(A,C)),D)))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [479]
% f(f(f(B,f(f(A,C),f(D,C))),f(f(f(A,C),f(D,C)),V_4)),C) ->
% f(f(f(A,C),f(D,C)),f(f(B,f(f(A,C),f(D,C))),f(f(f(A,C),f(D,C)),V_4)))
% Current number of equations to process: 2992
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [480]
% f(f(f(B,f(f(A,C),f(C,D))),f(V_4,f(f(A,C),f(C,D)))),C) ->
% f(f(f(A,C),f(C,D)),f(f(B,f(f(A,C),f(C,D))),f(V_4,f(f(A,C),f(C,D)))))
% Rule
% [198]
% f(f(f(B,f(f(A,C),f(C,D))),f(B,f(f(A,C),f(C,D)))),C) -> f(B,f(f(A,C),f(C,D)))
% collapsed.
% Current number of equations to process: 2992
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [481]
% f(f(B,f(f(A,C),f(D,C))),f(B,f(f(f(V_4,f(V_4,f(f(C,f(f(A,C),f(D,C))),B))),B),
% f(f(A,C),f(D,C))))) -> B
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [482] f(f(f(B,B),f(f(C,A),f(A,D))),f(f(B,B),A)) -> f(f(f(B,B),A),f(f(B,B),A))
% Current number of equations to process: 3001
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [483]
% f(f(f(f(B,A),f(A,C)),f(f(V_4,D),f(D,V_5))),f(f(f(B,A),f(A,C)),D)) ->
% f(f(f(f(B,A),f(A,C)),D),f(f(f(B,A),f(A,C)),D))
% Current number of equations to process: 3019
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [484]
% f(f(f(B,f(f(A,C),f(C,D))),f(f(V_4,f(B,f(f(A,C),f(C,D)))),C)),C) ->
% f(f(V_4,f(B,f(f(A,C),f(C,D)))),C)
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [485]
% f(f(D,f(f(V_4,f(B,f(f(A,B),f(C,B)))),f(f(B,f(f(A,B),f(C,B))),V_5))),f(
% f(A,B),
% f(C,B)))
% -> f(B,f(f(A,B),f(C,B)))
% Current number of equations to process: 3045
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [486]
% f(f(D,f(f(V_4,f(B,f(f(A,B),f(B,C)))),f(f(B,f(f(A,B),f(B,C))),V_5))),f(
% f(A,B),
% f(B,C)))
% -> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [487] f(f(f(f(B,f(A,A)),f(f(f(C,f(A,A)),f(f(A,A),D)),V_4)),V_5),A) -> f(A,A)
% Rule
% [260]
% f(f(f(f(B,f(A,A)),f(f(f(C,f(A,A)),f(f(A,A),D)),f(f(f(A,A),D),V_4))),V_5),A)
% -> f(A,A) collapsed.
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [488]
% f(f(B,A),f(f(f(f(C,f(B,A)),B),D),f(f(f(C,f(B,A)),B),D))) ->
% f(f(f(C,f(B,A)),B),D)
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [489]
% f(f(B,f(f(A,B),f(f(f(C,B),f(B,D)),V_4))),f(A,B)) ->
% f(f(A,B),f(f(f(C,B),f(B,D)),V_4))
% Rule
% [357]
% f(f(B,f(f(A,B),f(f(f(C,B),f(B,D)),f(f(B,D),V_4)))),f(A,B)) ->
% f(f(A,B),f(f(f(C,B),f(B,D)),f(f(B,D),V_4))) collapsed.
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [490]
% f(B,f(f(f(f(A,B),f(C,B)),D),f(f(f(A,B),f(C,B)),D))) -> f(f(f(A,B),f(C,B)),D)
% Current number of equations to process: 3090
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [491] f(f(f(f(B,f(A,A)),f(C,f(f(D,f(A,A)),f(f(A,A),V_4)))),V_5),A) -> f(A,A)
% Rule
% [261]
% f(f(f(f(B,f(A,A)),f(f(C,f(D,f(A,A))),f(f(D,f(A,A)),f(f(A,A),V_4)))),V_5),A)
% -> f(A,A) collapsed.
% Current number of equations to process: 3139
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [492]
% f(f(B,A),f(f(C,f(f(D,f(B,A)),B)),f(C,f(f(D,f(B,A)),B)))) ->
% f(C,f(f(D,f(B,A)),B))
% Current number of equations to process: 3138
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [493]
% f(f(B,f(f(A,B),f(C,f(f(D,B),f(B,V_4))))),f(A,B)) ->
% f(f(A,B),f(C,f(f(D,B),f(B,V_4))))
% Rule
% [358]
% f(f(B,f(f(A,B),f(f(C,f(D,B)),f(f(D,B),f(B,V_4))))),f(A,B)) ->
% f(f(A,B),f(f(C,f(D,B)),f(f(D,B),f(B,V_4)))) collapsed.
% Current number of equations to process: 3150
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [494]
% f(B,f(f(A,f(f(C,B),f(D,B))),f(A,f(f(C,B),f(D,B))))) -> f(A,f(f(C,B),f(D,B)))
% Current number of equations to process: 3158
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [495]
% f(f(f(f(B,f(A,A)),f(f(A,A),B)),C),f(f(A,A),B)) -> f(f(B,f(A,A)),f(f(A,A),B))
% Current number of equations to process: 3192
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [496] f(f(f(A,C),f(f(B,f(A,C)),A)),f(D,f(f(B,f(A,C)),A))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 3191
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [497]
% f(f(f(f(B,A),f(f(f(B,A),f(A,C)),B)),D),f(f(f(B,A),f(A,C)),B)) ->
% f(f(B,A),f(f(f(B,A),f(A,C)),B))
% Current number of equations to process: 3191
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [498]
% f(f(B,f(f(A,f(C,C)),f(f(C,C),A))),f(f(C,C),A)) -> f(f(A,f(C,C)),f(f(C,C),A))
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [499]
% f(f(B,f(f(A,C),f(f(f(A,C),f(C,D)),A))),f(f(f(A,C),f(C,D)),A)) ->
% f(f(A,C),f(f(f(A,C),f(C,D)),A))
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [500]
% f(f(B,A),f(f(B,f(B,B)),f(B,f(B,B)))) <-> f(f(f(B,f(B,B)),f(B,f(B,B))),C)
% Current number of equations to process: 3241
% Current number of ordered equations: 1
% Current number of rules: 337
% Rule [500]
% f(f(B,A),f(f(B,f(B,B)),f(B,f(B,B)))) <-> f(f(f(B,f(B,B)),f(B,f(B,B))),C) is composed into 
% [500]
% f(f(B,A),f(f(B,f(B,B)),f(B,f(B,B)))) <-> f(f(B,c),f(f(B,f(B,B)),f(B,f(B,B))))
% New rule produced :
% [501]
% f(f(f(B,f(B,B)),f(B,f(B,B))),C) <-> f(f(B,A),f(f(B,f(B,B)),f(B,f(B,B))))
% Current number of equations to process: 3241
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced : [502] f(f(f(f(B,A),f(f(B,A),f(B,A))),B),f(B,A)) -> B
% Current number of equations to process: 3250
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [503] f(f(B,f(f(f(A,f(A,A)),B),A)),f(B,f(f(f(A,f(A,A)),B),A))) -> B
% Current number of equations to process: 3272
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [504] f(f(f(B,B),A),f(f(B,C),f(f(f(f(B,B),B),f(B,C)),f(B,B)))) -> f(B,C)
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [505] f(f(B,A),f(f(f(B,B),C),f(f(f(B,f(B,B)),f(f(B,B),C)),B))) -> f(f(B,B),C)
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [506] f(f(B,A),f(f(C,f(B,B)),f(f(f(B,f(B,B)),f(C,f(B,B))),B))) -> f(C,f(B,B))
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced : [507] f(f(f(B,f(f(f(A,f(A,A)),B),A)),C),B) -> f(B,B)
% Current number of equations to process: 3278
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced : [508] f(f(A,f(B,f(f(f(C,f(C,C)),B),C))),B) -> f(B,B)
% Current number of equations to process: 3279
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced : [509] f(f(f(f(A,f(A,A)),B),A),B) -> f(B,B)
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced : [510] f(B,f(f(B,f(f(f(A,f(A,A)),B),A)),C)) -> f(B,B)
% Current number of equations to process: 3289
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced : [511] f(B,f(A,f(B,f(f(f(C,f(C,C)),B),C)))) -> f(B,B)
% Current number of equations to process: 3291
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced : [512] f(B,f(f(f(A,f(A,A)),B),A)) -> f(B,B)
% Rule [152] f(f(f(f(B,A),f(A,B)),C),f(A,f(f(f(B,f(B,B)),A),B))) -> A
% collapsed.
% Rule
% [155] f(B,f(f(B,A),f(f(f(f(C,B),f(f(C,B),f(C,B))),f(B,A)),f(C,B)))) -> f(B,A)
% collapsed.
% Rule [156] f(f(B,A),f(A,f(f(f(B,f(B,B)),A),B))) -> A collapsed.
% Rule [157] f(f(B,A),f(B,f(f(f(A,f(A,A)),B),A))) -> B collapsed.
% Rule [160] f(f(B,f(f(A,C),f(C,A))),f(C,f(f(f(A,f(A,A)),C),A))) -> C
% collapsed.
% Rule
% [163] f(f(B,A),f(f(C,f(B,A)),f(f(f(B,f(B,B)),f(C,f(B,A))),B))) -> f(C,f(B,A))
% collapsed.
% Rule
% [164] f(f(B,A),f(f(C,f(B,A)),f(f(f(A,f(A,A)),f(C,f(B,A))),A))) -> f(C,f(B,A))
% collapsed.
% Rule
% [166] f(B,f(f(A,B),f(f(f(f(C,B),f(f(C,B),f(C,B))),f(A,B)),f(C,B)))) -> f(A,B)
% collapsed.
% Rule
% [167] f(B,f(f(A,B),f(f(f(f(B,C),f(f(B,C),f(B,C))),f(A,B)),f(B,C)))) -> f(A,B)
% collapsed.
% Rule
% [171]
% f(f(B,A),f(B,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(C,f(B,A)))),B),f(C,f(B,A)))))
% -> B collapsed.
% Rule
% [172]
% f(f(B,A),f(A,f(f(f(f(C,f(B,A)),f(f(C,f(B,A)),f(C,f(B,A)))),A),f(C,f(B,A)))))
% -> A collapsed.
% Rule [503] f(f(B,f(f(f(A,f(A,A)),B),A)),f(B,f(f(f(A,f(A,A)),B),A))) -> B
% collapsed.
% Rule
% [505] f(f(B,A),f(f(f(B,B),C),f(f(f(B,f(B,B)),f(f(B,B),C)),B))) -> f(f(B,B),C)
% collapsed.
% Rule
% [506] f(f(B,A),f(f(C,f(B,B)),f(f(f(B,f(B,B)),f(C,f(B,B))),B))) -> f(C,f(B,B))
% collapsed.
% Rule [507] f(f(f(B,f(f(f(A,f(A,A)),B),A)),C),B) -> f(B,B) collapsed.
% Rule [508] f(f(A,f(B,f(f(f(C,f(C,C)),B),C))),B) -> f(B,B) collapsed.
% Rule [510] f(B,f(f(B,f(f(f(A,f(A,A)),B),A)),C)) -> f(B,B) collapsed.
% Rule [511] f(B,f(A,f(B,f(f(f(C,f(C,C)),B),C)))) -> f(B,B) collapsed.
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced : [513] f(f(B,A),f(f(f(B,B),C),f(f(B,B),C))) -> f(f(B,B),C)
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 332
% Rule [501]
% f(f(f(B,f(B,B)),f(B,f(B,B))),C) <-> f(f(B,A),f(f(B,f(B,B)),f(B,f(B,B)))) is composed into 
% [501] f(f(f(B,f(B,B)),f(B,f(B,B))),C) -> f(B,f(B,B))
% New rule produced : [514] f(f(B,A),f(f(C,f(B,B)),f(C,f(B,B)))) -> f(C,f(B,B))
% Rule
% [500]
% f(f(B,A),f(f(B,f(B,B)),f(B,f(B,B)))) <-> f(f(B,c),f(f(B,f(B,B)),f(B,f(B,B))))
% collapsed.
% Current number of equations to process: 3292
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced : [515] f(f(B,f(f(C,A),f(A,D))),f(B,A)) -> f(f(B,A),f(B,A))
% Rule
% [482] f(f(f(B,B),f(f(C,A),f(A,D))),f(f(B,B),A)) -> f(f(f(B,B),A),f(f(B,B),A))
% collapsed.
% Rule
% [483]
% f(f(f(f(B,A),f(A,C)),f(f(V_4,D),f(D,V_5))),f(f(f(B,A),f(A,C)),D)) ->
% f(f(f(f(B,A),f(A,C)),D),f(f(f(B,A),f(A,C)),D)) collapsed.
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [516] f(f(B,f(f(B,A),C)),f(B,A)) -> f(f(B,A),f(B,f(f(B,A),C)))
% Rule
% [195]
% f(f(f(B,B),f(f(f(B,B),A),C)),f(f(B,B),A)) ->
% f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C))) collapsed.
% Rule
% [355]
% f(f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D))),f(B,f(f(A,B),f(B,C)))) ->
% f(f(B,f(f(A,B),f(B,C))),f(B,D)) collapsed.
% Rule
% [360]
% f(f(f(B,A),f(f(f(B,A),f(A,C)),f(f(B,A),D))),f(f(B,A),f(A,C))) ->
% f(f(f(B,A),f(A,C)),f(f(B,A),D)) collapsed.
% Rule
% [368]
% f(f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D))),f(B,f(f(A,B),f(C,B)))) ->
% f(f(B,f(f(A,B),f(C,B))),f(B,D)) collapsed.
% Current number of equations to process: 3308
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced : [517] f(f(f(B,A),f(B,f(f(B,A),C))),B) -> f(B,f(f(B,A),C))
% Rule
% [317]
% f(f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C))),f(B,B)) ->
% f(f(B,B),f(f(f(B,B),A),C)) collapsed.
% Current number of equations to process: 3313
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [518] f(f(B,f(A,f(B,C))),f(B,C)) -> f(f(B,C),f(B,f(A,f(B,C))))
% Rule [216] f(f(B,f(f(A,B),f(B,C))),f(B,C)) -> f(f(A,B),f(B,C)) collapsed.
% Rule
% [335]
% f(f(f(B,B),f(A,f(f(B,B),C))),f(f(B,B),C)) ->
% f(f(f(B,B),C),f(f(B,B),f(A,f(f(B,B),C)))) collapsed.
% Current number of equations to process: 3317
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced : [519] f(B,f(f(B,A),f(B,f(C,f(B,A))))) -> f(B,f(C,f(B,A)))
% Rule
% [344]
% f(f(B,B),f(f(f(B,B),A),f(f(B,B),f(C,f(f(B,B),A))))) ->
% f(f(B,B),f(C,f(f(B,B),A))) collapsed.
% Current number of equations to process: 3316
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [520] f(B,f(f(A,B),f(A,f(f(A,B),f(B,C))))) -> f(A,f(f(A,B),f(B,C)))
% Current number of equations to process: 3315
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [521] f(f(f(B,A),C),f(f(B,A),f(B,f(f(B,A),C)))) -> f(B,f(f(B,A),C))
% Rule
% [208]
% f(f(f(f(B,B),A),C),f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C)))) ->
% f(f(B,B),f(f(f(B,B),A),C)) collapsed.
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [522] f(f(B,f(f(B,A),C)),f(B,f(f(B,A),C))) -> f(f(B,A),f(B,f(f(B,A),C)))
% Rule
% [174]
% f(f(f(B,B),f(f(f(B,B),A),C)),f(f(B,B),f(f(f(B,B),A),C))) ->
% f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C))) collapsed.
% Current number of equations to process: 3313
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [523] f(f(B,f(A,f(B,C))),f(B,f(A,f(B,C)))) -> f(f(B,C),f(B,f(A,f(B,C))))
% Rule
% [298]
% f(f(f(B,B),f(A,f(f(B,B),C))),f(f(B,B),f(A,f(f(B,B),C)))) ->
% f(f(f(B,B),C),f(f(B,B),f(A,f(f(B,B),C)))) collapsed.
% Current number of equations to process: 3312
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [524] f(f(B,f(A,C)),f(f(A,C),f(A,f(B,f(A,C))))) -> f(A,f(B,f(A,C)))
% Rule
% [351]
% f(f(B,f(f(A,A),C)),f(f(f(A,A),C),f(f(A,A),f(B,f(f(A,A),C))))) ->
% f(f(A,A),f(B,f(f(A,A),C))) collapsed.
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [525] f(f(B,A),f(B,f(f(C,B),f(B,f(f(B,A),D))))) -> f(f(C,B),f(B,f(f(B,A),D)))
% Rule
% [410]
% f(f(f(B,B),A),f(f(B,B),f(f(C,f(B,B)),f(f(B,B),f(f(f(B,B),A),D))))) ->
% f(f(C,f(B,B)),f(f(B,B),f(f(f(B,B),A),D))) collapsed.
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced : [526] f(f(f(B,A),f(B,C)),B) -> f(B,f(f(B,A),f(B,C)))
% Rule [159] f(f(f(B,A),f(B,A)),B) -> f(B,A) collapsed.
% Rule
% [191]
% f(f(f(B,f(f(A,B),f(B,C))),f(B,D)),B) -> f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D)))
% collapsed.
% Rule
% [315]
% f(f(f(f(B,A),f(A,C)),f(f(B,A),D)),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(A,C)),f(f(B,A),D))) collapsed.
% Rule
% [331]
% f(f(f(B,f(f(A,B),f(C,B))),f(B,D)),B) -> f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D)))
% collapsed.
% Rule
% [361]
% f(f(f(f(B,A),f(f(C,f(B,A)),A)),f(f(B,A),D)),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),A)),f(f(B,A),D))) collapsed.
% Rule [517] f(f(f(B,A),f(B,f(f(B,A),C))),B) -> f(B,f(f(B,A),C)) collapsed.
% Current number of equations to process: 3326
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [527] f(f(B,A),f(B,f(f(B,C),f(B,A)))) -> f(f(B,C),f(B,A))
% Rule
% [205]
% f(f(B,A),f(B,f(f(B,f(f(C,B),f(B,D))),f(B,A)))) ->
% f(f(B,f(f(C,B),f(B,D))),f(B,A)) collapsed.
% Rule
% [334]
% f(f(B,A),f(B,f(f(B,f(f(C,B),f(D,B))),f(B,A)))) ->
% f(f(B,f(f(C,B),f(D,B))),f(B,A)) collapsed.
% Rule
% [348]
% f(f(f(B,A),C),f(f(B,A),f(f(f(B,A),f(A,D)),f(f(B,A),C)))) ->
% f(f(f(B,A),f(A,D)),f(f(B,A),C)) collapsed.
% Rule
% [419]
% f(f(f(B,A),C),f(f(B,A),f(f(f(B,A),f(f(D,f(B,A)),A)),f(f(B,A),C)))) ->
% f(f(f(B,A),f(f(D,f(B,A)),A)),f(f(B,A),C)) collapsed.
% Current number of equations to process: 3325
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced : [528] f(f(B,A),f(B,f(f(B,A),f(B,C)))) -> f(f(B,A),f(B,C))
% Rule
% [210]
% f(f(B,f(f(A,B),f(B,C))),f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D)))) ->
% f(f(B,f(f(A,B),f(B,C))),f(B,D)) collapsed.
% Rule
% [356]
% f(f(f(B,A),f(A,C)),f(f(B,A),f(f(f(B,A),f(A,C)),f(f(B,A),D)))) ->
% f(f(f(B,A),f(A,C)),f(f(B,A),D)) collapsed.
% Rule
% [367]
% f(f(B,f(f(A,B),f(C,B))),f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D)))) ->
% f(f(B,f(f(A,B),f(C,B))),f(B,D)) collapsed.
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [529] f(f(f(B,A),f(B,C)),f(f(B,A),f(B,C))) -> f(B,f(f(B,A),f(B,C)))
% Rule
% [233]
% f(f(f(B,f(f(A,B),f(B,C))),f(B,D)),f(f(B,f(f(A,B),f(B,C))),f(B,D))) ->
% f(B,f(f(B,f(f(A,B),f(B,C))),f(B,D))) collapsed.
% Rule
% [403]
% f(f(f(B,f(f(A,B),f(C,B))),f(B,D)),f(f(B,f(f(A,B),f(C,B))),f(B,D))) ->
% f(B,f(f(B,f(f(A,B),f(C,B))),f(B,D))) collapsed.
% Rule
% [417]
% f(f(f(f(B,A),f(A,C)),f(f(B,A),D)),f(f(f(B,A),f(A,C)),f(f(B,A),D))) ->
% f(f(B,A),f(f(f(B,A),f(A,C)),f(f(B,A),D))) collapsed.
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [530] f(f(f(B,A),f(C,B)),f(f(B,f(f(B,A),f(C,B))),D)) -> f(B,f(f(B,A),f(C,B)))
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [531] f(f(f(B,f(f(B,A),C)),D),f(f(B,A),f(B,f(f(B,A),C)))) -> f(B,f(f(B,A),C))
% Rule
% [426]
% f(f(f(f(B,B),f(f(f(B,B),A),C)),D),f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C))))
% -> f(f(B,B),f(f(f(B,B),A),C)) collapsed.
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [532] f(f(B,f(A,f(f(A,C),D))),f(f(A,C),f(A,f(f(A,C),D)))) -> f(A,f(f(A,C),D))
% Rule
% [427]
% f(f(B,f(f(A,A),f(f(f(A,A),C),D))),f(f(f(A,A),C),f(f(A,A),f(f(f(A,A),C),D))))
% -> f(f(A,A),f(f(f(A,A),C),D)) collapsed.
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [533] f(f(f(B,A),f(B,f(f(B,A),C))),f(f(B,f(f(B,A),C)),D)) -> f(B,f(f(B,A),C))
% Rule
% [428]
% f(f(f(f(B,B),A),f(f(B,B),f(f(f(B,B),A),C))),f(f(f(B,B),f(f(f(B,B),A),C)),D))
% -> f(f(B,B),f(f(f(B,B),A),C)) collapsed.
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [534] f(f(f(B,f(A,f(B,C))),D),f(f(B,C),f(B,f(A,f(B,C))))) -> f(B,f(A,f(B,C)))
% Rule
% [436]
% f(f(f(f(B,B),f(A,f(f(B,B),C))),D),f(f(f(B,B),C),f(f(B,B),f(A,f(f(B,B),C)))))
% -> f(f(B,B),f(A,f(f(B,B),C))) collapsed.
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [535] f(f(B,f(A,f(C,f(A,D)))),f(f(A,D),f(A,f(C,f(A,D))))) -> f(A,f(C,f(A,D)))
% Rule
% [438]
% f(f(B,f(f(A,A),f(C,f(f(A,A),D)))),f(f(f(A,A),D),f(f(A,A),f(C,f(f(A,A),D)))))
% -> f(f(A,A),f(C,f(f(A,A),D))) collapsed.
% Current number of equations to process: 3317
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [536]
% f(f(B,f(A,f(B,C))),f(f(f(B,C),f(B,f(A,f(B,C)))),D)) ->
% f(f(B,C),f(B,f(A,f(B,C))))
% Current number of equations to process: 3316
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [537]
% f(f(B,f(f(B,A),C)),f(f(f(B,A),f(B,f(f(B,A),C))),D)) ->
% f(f(B,A),f(B,f(f(B,A),C)))
% Current number of equations to process: 3315
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [538]
% f(f(f(f(B,A),f(B,f(f(B,A),C))),D),f(B,f(f(B,A),C))) ->
% f(f(B,A),f(B,f(f(B,A),C)))
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [539]
% f(f(B,f(f(A,C),f(A,f(f(A,C),D)))),f(A,f(f(A,C),D))) ->
% f(f(A,C),f(A,f(f(A,C),D)))
% Current number of equations to process: 3313
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [540]
% f(f(B,f(f(B,A),C)),f(D,f(f(B,A),f(B,f(f(B,A),C))))) ->
% f(f(B,A),f(B,f(f(B,A),C)))
% Current number of equations to process: 3312
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [541] f(f(f(f(f(B,B),A),f(A,f(B,B))),C),f(A,f(f(f(f(B,B),B),A),f(B,B)))) -> A
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [542]
% f(f(B,A),f(f(f(B,f(f(B,A),C)),D),f(f(B,f(f(B,A),C)),D))) ->
% f(f(B,f(f(B,A),C)),D)
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [543]
% f(f(B,A),f(f(C,f(B,f(f(B,A),D))),f(C,f(B,f(f(B,A),D))))) ->
% f(C,f(B,f(f(B,A),D)))
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [544]
% f(f(f(f(B,A),f(f(f(B,A),f(A,C)),D)),V_4),f(A,f(f(B,A),f(A,C)))) ->
% f(f(B,A),f(A,C))
% Current number of equations to process: 3308
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [545] f(f(f(B,A),f(f(f(C,B),f(B,A)),A)),B) -> f(f(f(C,B),f(B,A)),A)
% Rule
% [442]
% f(f(B,A),f(f(f(B,A),f(f(f(C,B),f(B,A)),A)),B)) ->
% f(f(B,A),f(f(f(C,B),f(B,A)),A)) collapsed.
% Current number of equations to process: 3326
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [546] f(f(B,f(f(f(A,f(B,C)),B),f(B,D))),f(B,C)) -> f(f(f(A,f(B,C)),B),f(B,D))
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [547]
% f(f(f(B,A),f(f(f(C,B),f(B,A)),f(D,f(B,A)))),B) ->
% f(f(f(C,B),f(B,A)),f(D,f(B,A)))
% Current number of equations to process: 3392
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [548]
% f(f(f(B,A),f(f(C,f(B,A)),f(f(D,B),f(B,A)))),B) ->
% f(f(C,f(B,A)),f(f(D,B),f(B,A)))
% Current number of equations to process: 3391
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [549]
% f(f(f(f(f(B,A),f(A,C)),f(f(A,C),D)),f(A,V_4)),A) ->
% f(A,f(f(f(f(B,A),f(A,C)),f(f(A,C),D)),f(A,V_4)))
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [550]
% f(f(f(f(f(B,A),f(A,C)),f(f(A,C),D)),f(V_4,A)),A) ->
% f(A,f(f(f(f(B,A),f(A,C)),f(f(A,C),D)),f(V_4,A)))
% Current number of equations to process: 3388
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [551]
% f(f(f(f(f(f(B,f(A,A)),f(f(A,A),C)),f(f(f(A,A),C),D)),f(f(A,A),V_4)),V_5),A)
% -> f(A,A)
% Current number of equations to process: 3386
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [552]
% f(f(B,A),f(B,f(f(f(f(C,B),f(B,D)),f(f(B,D),V_4)),f(B,A)))) ->
% f(f(f(f(C,B),f(B,D)),f(f(B,D),V_4)),f(B,A))
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [553]
% f(f(B,A),f(A,f(f(f(f(C,A),f(A,D)),f(f(A,D),V_4)),f(B,A)))) ->
% f(f(f(f(C,A),f(A,D)),f(f(A,D),V_4)),f(B,A))
% Current number of equations to process: 3388
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [554]
% f(f(f(B,A),f(f(f(C,A),f(B,A)),f(f(B,A),D))),A) ->
% f(f(f(C,A),f(B,A)),f(f(B,A),D))
% Current number of equations to process: 3396
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [555]
% f(f(f(f(B,f(f(A,f(C,C)),f(f(C,C),D))),f(f(f(A,f(C,C)),f(f(C,C),D)),V_4)),V_5),C)
% -> f(C,C)
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [556]
% f(f(B,f(f(A,f(f(C,f(D,D)),f(f(D,D),V_4))),f(f(f(C,f(D,D)),f(f(D,D),V_4)),V_5))),D)
% -> f(D,D)
% Current number of equations to process: 3399
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [557]
% f(f(B,A),f(f(f(B,A),C),f(f(B,f(f(B,A),C)),f(f(f(B,A),C),D)))) ->
% f(f(B,f(f(B,A),C)),f(f(f(B,A),C),D))
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [558]
% f(f(f(f(B,A),C),f(f(B,f(f(B,A),C)),f(f(f(B,A),C),D))),f(B,A)) ->
% f(f(B,f(f(B,A),C)),f(f(f(B,A),C),D))
% Current number of equations to process: 3397
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [559]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(C,f(f(C,D),V_4)),A))),A),f(f(C,D),f(C,f(
% f(C,D),V_4))))))
% -> A
% Current number of equations to process: 3396
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [560]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,D),f(C,f(f(C,D),V_4))),A))),A),f(C,f(
% f(C,D),V_4)))))
% -> A
% Current number of equations to process: 3395
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [561]
% f(B,f(f(A,B),f(f(C,f(A,B)),f(f(A,B),f(f(f(D,B),f(B,V_4)),V_5))))) ->
% f(f(C,f(A,B)),f(f(A,B),f(f(f(D,B),f(B,V_4)),V_5)))
% Current number of equations to process: 3394
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [562]
% f(f(B,f(f(A,f(f(C,D),f(D,V_4))),f(f(f(C,D),f(D,V_4)),V_5))),f(D,f(f(C,D),
% f(D,V_4))))
% -> f(f(C,D),f(D,V_4))
% Current number of equations to process: 3393
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [563]
% f(B,f(f(A,B),f(f(C,f(A,B)),f(f(A,B),f(D,f(f(V_4,B),f(B,V_5))))))) ->
% f(f(C,f(A,B)),f(f(A,B),f(D,f(f(V_4,B),f(B,V_5)))))
% Current number of equations to process: 3392
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [564]
% f(f(B,f(f(A,f(f(C,D),f(V_4,D))),f(f(f(C,D),f(V_4,D)),V_5))),f(D,f(f(C,D),
% f(V_4,D))))
% -> f(f(C,D),f(V_4,D))
% Current number of equations to process: 3391
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [565]
% f(f(f(B,f(A,f(f(A,C),D))),f(f(A,f(f(A,C),D)),V_4)),f(A,C)) ->
% f(f(A,C),f(f(B,f(A,f(f(A,C),D))),f(f(A,f(f(A,C),D)),V_4)))
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [566]
% f(f(f(B,A),f(f(f(B,f(f(C,B),f(B,D))),f(B,A)),f(f(B,A),V_4))),B) ->
% f(f(f(B,f(f(C,B),f(B,D))),f(B,A)),f(f(B,A),V_4))
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [567]
% f(f(f(B,A),f(f(f(B,f(f(C,B),f(D,B))),f(B,A)),f(f(B,A),V_4))),B) ->
% f(f(f(B,f(f(C,B),f(D,B))),f(B,A)),f(f(B,A),V_4))
% Current number of equations to process: 3387
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [568]
% f(f(f(f(f(B,A),f(C,A)),D),f(f(f(B,A),f(C,A)),D)),A) -> f(f(f(B,A),f(C,A)),D)
% Current number of equations to process: 3401
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [569]
% f(f(f(A,f(f(C,B),f(D,B))),f(D,B)),B) -> f(B,f(f(A,f(f(C,B),f(D,B))),f(D,B)))
% Current number of equations to process: 3421
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [570] f(B,f(f(f(A,A),B),f(f(f(C,B),f(D,B)),f(A,A)))) -> f(f(A,A),B)
% Current number of equations to process: 3423
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [571]
% f(f(f(A,f(f(C,B),f(D,B))),f(V_4,f(f(C,B),f(D,B)))),B) ->
% f(B,f(f(A,f(f(C,B),f(D,B))),f(V_4,f(f(C,B),f(D,B)))))
% Current number of equations to process: 3425
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [572]
% f(B,f(f(f(f(f(f(A,B),f(C,B)),D),f(D,V_4)),B),f(f(f(A,B),f(C,B)),D))) ->
% f(f(f(f(f(A,B),f(C,B)),D),f(D,V_4)),B)
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [573]
% f(f(f(A,B),f(f(f(C,B),f(A,B)),A)),B) -> f(B,f(f(A,B),f(f(f(C,B),f(A,B)),A)))
% Current number of equations to process: 3433
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [574]
% f(f(B,f(f(A,f(f(C,f(D,V_4)),V_4)),f(f(f(C,f(D,V_4)),V_4),V_5))),f(f(D,V_4),
% f(f(C,
% f(D,V_4)),V_4)))
% -> f(f(C,f(D,V_4)),V_4)
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [575]
% f(f(D,f(f(V_4,f(f(B,f(A,C)),A)),f(f(f(B,f(A,C)),A),V_5))),f(f(A,C),f(
% f(B,
% f(A,C)),A)))
% -> f(f(B,f(A,C)),A)
% Current number of equations to process: 3434
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [576]
% f(f(f(f(B,f(A,f(f(A,C),D))),f(f(A,f(f(A,C),D)),V_4)),V_5),f(f(A,C),f(A,
% f(
% f(A,C),D))))
% -> f(A,f(f(A,C),D))
% Current number of equations to process: 3432
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [577]
% f(B,f(f(f(A,f(f(C,A),f(A,D))),B),f(f(f(V_4,B),f(V_5,B)),f(A,f(f(C,A),f(A,D))))))
% -> f(f(A,f(f(C,A),f(A,D))),B)
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [578]
% f(f(B,A),f(f(f(C,f(f(B,f(D,f(B,A))),V_4)),f(B,A)),f(f(B,f(D,f(B,A))),V_4)))
% -> f(f(C,f(f(B,f(D,f(B,A))),V_4)),f(B,A))
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [579]
% f(f(f(C,f(f(D,f(B,A)),B)),f(f(f(D,f(B,A)),B),V_4)),f(B,A)) ->
% f(f(B,A),f(f(C,f(f(D,f(B,A)),B)),f(f(f(D,f(B,A)),B),V_4)))
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [580]
% f(f(f(f(f(B,f(A,C)),A),D),f(f(f(B,f(A,C)),A),D)),f(A,C)) ->
% f(f(f(B,f(A,C)),A),D)
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [581]
% f(f(B,A),f(f(f(C,f(f(B,B),D)),f(B,A)),f(f(B,B),D))) ->
% f(f(C,f(f(B,B),D)),f(B,A))
% Current number of equations to process: 3447
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [582]
% f(f(f(C,f(f(D,f(B,A)),B)),B),f(B,A)) -> f(f(B,A),f(f(C,f(f(D,f(B,A)),B)),B))
% Current number of equations to process: 3455
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [583]
% f(f(B,A),f(f(f(C,C),f(B,A)),f(f(f(D,f(B,A)),B),f(C,C)))) -> f(f(C,C),f(B,A))
% Current number of equations to process: 3459
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [584]
% f(f(f(C,f(f(D,f(B,A)),B)),f(V_4,f(f(D,f(B,A)),B))),f(B,A)) ->
% f(f(B,A),f(f(C,f(f(D,f(B,A)),B)),f(V_4,f(f(D,f(B,A)),B))))
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [585]
% f(f(B,f(A,A)),f(f(f(C,f(f(f(A,A),B),D)),f(B,f(A,A))),f(f(f(A,A),B),D))) ->
% f(f(C,f(f(f(A,A),B),D)),f(B,f(A,A)))
% Current number of equations to process: 3457
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [586]
% f(f(f(B,A),f(f(f(D,f(f(B,A),C)),f(B,A)),B)),f(f(B,A),C)) ->
% f(f(f(B,A),C),f(f(B,A),f(f(f(D,f(f(B,A),C)),f(B,A)),B)))
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [587]
% f(f(f(B,f(f(A,f(C,D)),C)),f(A,f(C,D))),f(C,D)) ->
% f(f(C,D),f(f(B,f(f(A,f(C,D)),C)),f(A,f(C,D))))
% Current number of equations to process: 3478
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [588]
% f(f(f(B,f(f(A,C),f(D,C))),f(A,C)),C) -> f(C,f(f(B,f(f(A,C),f(D,C))),f(A,C)))
% Current number of equations to process: 3547
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [589]
% f(f(f(B,f(f(A,f(C,D)),D)),f(A,f(C,D))),f(C,D)) ->
% f(f(C,D),f(f(B,f(f(A,f(C,D)),D)),f(A,f(C,D))))
% Current number of equations to process: 3546
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [590]
% f(f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B))),f(C,B)) ->
% f(f(C,B),f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B))))
% Current number of equations to process: 3545
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [591]
% f(B,f(f(A,B),f(B,f(f(C,f(f(A,B),f(B,D))),f(A,B))))) ->
% f(B,f(f(C,f(f(A,B),f(B,D))),f(A,B)))
% Current number of equations to process: 3543
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [592]
% f(f(f(B,f(A,f(f(A,C),D))),A),f(A,C)) -> f(f(A,C),f(f(B,f(A,f(f(A,C),D))),A))
% Current number of equations to process: 3556
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [593]
% f(f(f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B))),f(V_4,B)),B) ->
% f(B,f(f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B))),f(V_4,B)))
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [594]
% f(f(f(B,f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))),f(A,C)),C) ->
% f(C,f(f(B,f(f(A,C),f(f(f(D,C),f(C,V_4)),V_5))),f(A,C)))
% Current number of equations to process: 3563
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [595]
% f(f(f(B,f(f(A,C),f(D,f(f(V_4,C),f(C,V_5))))),f(A,C)),C) ->
% f(C,f(f(B,f(f(A,C),f(D,f(f(V_4,C),f(C,V_5))))),f(A,C)))
% Current number of equations to process: 3562
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [596]
% f(f(f(f(f(B,B),f(f(A,f(f(C,f(B,B)),f(f(B,B),D))),f(C,f(B,B)))),f(f(B,B),V_4)),V_5),B)
% -> f(B,B)
% Current number of equations to process: 3560
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [597]
% f(f(f(B,f(f(A,A),f(f(C,f(A,A)),D))),f(A,A)),f(C,f(A,A))) ->
% f(f(C,f(A,A)),f(f(B,f(f(A,A),f(f(C,f(A,A)),D))),f(A,A)))
% Current number of equations to process: 3559
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [598]
% f(f(B,A),f(A,f(f(A,f(f(C,f(f(D,A),f(A,V_4))),f(D,A))),f(B,A)))) ->
% f(f(A,f(f(C,f(f(D,A),f(A,V_4))),f(D,A))),f(B,A))
% Current number of equations to process: 3558
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [599] f(B,f(f(f(A,A),B),f(f(A,A),f(f(C,B),f(D,B))))) -> f(f(A,A),B)
% Current number of equations to process: 3569
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [600]
% f(f(f(A,C),f(f(B,f(A,C)),f(f(A,C),f(D,C)))),C) ->
% f(f(B,f(A,C)),f(f(A,C),f(D,C)))
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [601]
% f(B,f(f(f(f(A,C),f(C,D)),B),f(f(f(A,C),f(C,D)),f(f(V_4,B),f(V_5,B))))) ->
% f(f(f(A,C),f(C,D)),B)
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced : [602] f(B,f(f(A,B),f(A,f(f(C,B),f(D,B))))) -> f(A,B)
% Rule [599] f(B,f(f(f(A,A),B),f(f(A,A),f(f(C,B),f(D,B))))) -> f(f(A,A),B)
% collapsed.
% Rule
% [601]
% f(B,f(f(f(f(A,C),f(C,D)),B),f(f(f(A,C),f(C,D)),f(f(V_4,B),f(V_5,B))))) ->
% f(f(f(A,C),f(C,D)),B) collapsed.
% Current number of equations to process: 3601
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced : [603] f(B,f(f(A,B),f(A,f(f(C,B),f(B,D))))) -> f(A,B)
% Rule [186] f(B,f(f(f(A,A),B),f(f(A,A),f(f(C,B),f(B,D))))) -> f(f(A,A),B)
% collapsed.
% Rule
% [218]
% f(B,f(f(f(f(A,C),f(C,D)),B),f(f(f(A,C),f(C,D)),f(f(V_4,B),f(B,V_5))))) ->
% f(f(f(A,C),f(C,D)),B) collapsed.
% Rule
% [429]
% f(B,f(f(f(A,f(f(C,A),f(A,D))),B),f(f(A,f(f(C,A),f(A,D))),f(f(V_4,B),f(B,V_5)))))
% -> f(f(A,f(f(C,A),f(A,D))),B) collapsed.
% Rule [520] f(B,f(f(A,B),f(A,f(f(A,B),f(B,C))))) -> f(A,f(f(A,B),f(B,C)))
% collapsed.
% Current number of equations to process: 3617
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced : [604] f(A,f(f(A,B),f(B,C))) -> f(A,B)
% Rule [246] f(f(B,B),f(f(f(B,B),A),f(A,C))) -> f(f(B,B),A) collapsed.
% Rule
% [252]
% f(f(f(B,A),f(A,C)),f(f(f(f(B,A),f(A,C)),D),f(D,V_4))) ->
% f(f(f(B,A),f(A,C)),D) collapsed.
% Current number of equations to process: 3616
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [605]
% f(f(B,A),f(f(f(C,C),f(B,A)),f(f(C,C),f(f(D,f(B,A)),B)))) -> f(f(C,C),f(B,A))
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [606] f(f(f(f(f(B,B),A),f(f(C,f(f(B,B),A)),f(B,B))),D),B) -> f(B,B)
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [607] f(f(f(f(B,A),f(A,C)),B),f(B,A)) -> f(f(B,A),f(f(f(B,A),f(A,C)),B))
% Current number of equations to process: 3653
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [608] f(f(f(B,B),A),f(A,f(B,B))) <-> f(f(A,f(B,B)),f(f(B,B),A))
% Current number of equations to process: 3660
% Current number of ordered equations: 1
% Current number of rules: 381
% New rule produced :
% [609] f(f(A,f(B,B)),f(f(B,B),A)) <-> f(f(f(B,B),A),f(A,f(B,B)))
% Current number of equations to process: 3660
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [610]
% f(f(f(f(B,A),f(f(C,f(B,A)),A)),B),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),A)),B))
% Current number of equations to process: 3660
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [611]
% f(f(f(f(B,A),f(f(C,f(B,A)),B)),A),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),B)),A))
% Current number of equations to process: 3660
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [612]
% f(B,f(f(A,B),f(f(f(A,B),f(f(C,f(A,B)),A)),B))) ->
% f(f(f(A,B),f(f(C,f(A,B)),A)),B)
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [613] f(B,f(A,f(f(C,A),f(A,D)))) <-> f(f(A,f(f(C,A),f(A,D))),B)
% Rule [61] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(B,A),f(A,C)))) -> f(f(B,A),f(A,C))
% collapsed.
% Rule
% [84]
% f(f(B,A),f(A,f(f(f(B,f(B,f(f(f(C,D),f(D,V_4)),A))),A),f(D,f(f(C,D),f(D,V_4))))))
% -> A collapsed.
% Rule
% [120]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(f(f(A,C),f(C,D)),V_4)),V_5),f(C,f(f(A,C),
% f(C,D)))) ->
% f(f(A,C),f(C,D)) collapsed.
% Rule
% [274]
% f(B,f(f(f(B,f(B,f(f(f(A,C),f(C,D)),B))),B),f(C,f(f(A,C),f(C,D))))) -> f(B,B)
% collapsed.
% Rule
% [296]
% f(f(B,A),f(A,f(f(f(B,f(B,f(A,f(f(C,A),f(A,D))))),A),f(A,f(f(C,A),f(A,D))))))
% -> A collapsed.
% Rule
% [346]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(A,C)),V_4),f(C,f(f(A,C),f(C,D)))) ->
% f(f(A,C),f(C,D)) collapsed.
% Rule
% [347]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(C,D)),V_4),f(C,f(f(A,C),f(C,D)))) ->
% f(f(A,C),f(C,D)) collapsed.
% Rule
% [393]
% f(f(D,f(B,f(f(A,B),f(B,C)))),f(f(B,f(f(A,B),f(B,C))),D)) <->
% f(f(f(B,f(f(A,B),f(B,C))),D),f(f(B,f(f(A,B),f(B,C))),D)) collapsed.
% Rule
% [407]
% f(f(f(f(f(f(B,A),f(A,C)),D),f(f(f(B,A),f(A,C)),D)),V_4),f(A,f(f(B,A),f(A,C))))
% -> f(f(B,A),f(A,C)) collapsed.
% Rule
% [408]
% f(f(f(f(B,f(f(A,C),f(C,D))),f(V_4,f(f(A,C),f(C,D)))),V_5),f(C,f(f(A,C),
% f(C,D)))) ->
% f(f(A,C),f(C,D)) collapsed.
% Rule
% [425]
% f(B,f(f(A,B),f(f(f(C,f(C,f(f(f(D,B),f(B,V_4)),f(A,B)))),f(A,B)),f(B,f(
% f(D,B),
% f(B,V_4))))))
% -> f(A,B) collapsed.
% Rule
% [544]
% f(f(f(f(B,A),f(f(f(B,A),f(A,C)),D)),V_4),f(A,f(f(B,A),f(A,C)))) ->
% f(f(B,A),f(A,C)) collapsed.
% Rule
% [562]
% f(f(B,f(f(A,f(f(C,D),f(D,V_4))),f(f(f(C,D),f(D,V_4)),V_5))),f(D,f(f(C,D),
% f(D,V_4))))
% -> f(f(C,D),f(D,V_4)) collapsed.
% Current number of equations to process: 3696
% Current number of ordered equations: 1
% Current number of rules: 373
% New rule produced :
% [614] f(f(A,f(f(C,A),f(A,D))),B) <-> f(B,f(A,f(f(C,A),f(A,D))))
% Rule [97] f(f(A,f(f(B,A),f(A,C))),f(B,A)) -> f(f(B,A),f(A,C)) collapsed.
% Rule
% [179]
% f(f(f(A,C),f(f(f(B,A),f(A,C)),f(f(A,C),D))),A) ->
% f(f(f(B,A),f(A,C)),f(f(A,C),D)) collapsed.
% Rule
% [286] f(f(B,f(f(f(A,f(C,B)),B),f(B,D))),f(C,B)) -> f(f(f(A,f(C,B)),B),f(B,D))
% collapsed.
% Rule
% [359]
% f(f(B,f(A,A)),f(B,f(f(f(f(B,f(f(A,B),f(B,C))),f(f(A,B),f(B,C))),B),f(A,A))))
% -> B collapsed.
% Rule
% [362]
% f(f(f(f(B,A),f(f(C,f(B,A)),f(f(B,A),D))),A),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),f(f(B,A),D))),A)) collapsed.
% Rule
% [363]
% f(B,f(f(A,B),f(f(f(A,B),f(f(C,f(A,B)),f(f(A,B),D))),B))) ->
% f(f(f(A,B),f(f(C,f(A,B)),f(f(A,B),D))),B) collapsed.
% Rule
% [392]
% f(f(f(B,f(f(A,B),f(B,C))),D),f(f(B,f(f(A,B),f(B,C))),D)) <->
% f(f(D,f(B,f(f(A,B),f(B,C)))),f(f(B,f(f(A,B),f(B,C))),D)) collapsed.
% Rule
% [468]
% f(f(f(B,f(f(A,B),f(B,C))),B),f(B,f(f(f(f(B,f(f(A,B),f(B,C))),f(f(A,B),f(B,C))),B),
% f(A,A)))) -> B collapsed.
% Rule
% [546] f(f(B,f(f(f(A,f(B,C)),B),f(B,D))),f(B,C)) -> f(f(f(A,f(B,C)),B),f(B,D))
% collapsed.
% Rule
% [554]
% f(f(f(B,A),f(f(f(C,A),f(B,A)),f(f(B,A),D))),A) ->
% f(f(f(C,A),f(B,A)),f(f(B,A),D)) collapsed.
% Rule
% [558]
% f(f(f(f(B,A),C),f(f(B,f(f(B,A),C)),f(f(f(B,A),C),D))),f(B,A)) ->
% f(f(B,f(f(B,A),C)),f(f(f(B,A),C),D)) collapsed.
% Rule
% [566]
% f(f(f(B,A),f(f(f(B,f(f(C,B),f(B,D))),f(B,A)),f(f(B,A),V_4))),B) ->
% f(f(f(B,f(f(C,B),f(B,D))),f(B,A)),f(f(B,A),V_4)) collapsed.
% Rule
% [567]
% f(f(f(B,A),f(f(f(B,f(f(C,B),f(D,B))),f(B,A)),f(f(B,A),V_4))),B) ->
% f(f(f(B,f(f(C,B),f(D,B))),f(B,A)),f(f(B,A),V_4)) collapsed.
% Rule
% [600]
% f(f(f(A,C),f(f(B,f(A,C)),f(f(A,C),f(D,C)))),C) ->
% f(f(B,f(A,C)),f(f(A,C),f(D,C))) collapsed.
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced : [615] f(B,f(A,A)) <-> f(f(A,A),B)
% Rule [248] f(f(f(f(B,A),f(A,C)),D),f(A,A)) -> A collapsed.
% Rule [263] f(f(B,f(f(A,C),f(C,D))),f(C,C)) -> C collapsed.
% Rule
% [267]
% f(B,f(f(f(B,B),B),f(f(f(A,f(A,f(B,B))),f(f(B,B),B)),f(B,B)))) -> f(f(B,B),B)
% collapsed.
% Rule
% [272]
% f(f(f(f(B,f(A,A)),f(f(B,f(A,A)),f(A,A))),f(f(A,A),C)),f(A,A)) -> f(f(A,A),C)
% collapsed.
% Rule [279] f(f(f(f(A,f(A,f(C,B))),B),f(C,C)),B) -> f(B,B) collapsed.
% Rule
% [290]
% f(f(B,f(A,A)),f(B,f(f(f(f(C,f(f(A,B),f(A,B))),f(f(A,B),f(A,B))),B),f(A,A))))
% -> B collapsed.
% Rule
% [291]
% f(f(B,f(A,A)),f(B,f(f(f(f(f(f(A,B),f(A,B)),C),f(f(A,B),f(A,B))),B),f(A,A))))
% -> B collapsed.
% Rule
% [292]
% f(f(B,A),f(B,f(f(f(f(f(f(C,B),f(C,B)),f(B,A)),f(f(C,B),f(C,B))),B),f(C,C))))
% -> B collapsed.
% Rule
% [293]
% f(f(B,A),f(A,f(f(f(f(f(f(C,A),f(C,A)),f(B,A)),f(f(C,A),f(C,A))),A),f(C,C))))
% -> A collapsed.
% Rule
% [295]
% f(B,f(f(f(A,A),B),f(f(f(f(C,B),f(f(C,B),f(A,A))),f(f(A,A),B)),f(A,A)))) ->
% f(f(A,A),B) collapsed.
% Rule [304] f(f(f(f(B,f(A,C)),C),D),f(f(A,C),f(A,C))) -> f(A,C) collapsed.
% Rule [305] f(f(B,f(f(A,f(C,D)),D)),f(f(C,D),f(C,D))) -> f(C,D) collapsed.
% Rule [311] f(B,f(f(f(A,f(A,f(C,B))),B),f(C,C))) -> f(B,B) collapsed.
% Rule [326] f(f(A,f(B,B)),f(f(B,B),A)) <-> f(f(f(B,B),A),f(f(B,B),A))
% collapsed.
% Rule [376] f(f(f(f(B,f(A,C)),A),D),f(f(A,C),f(A,C))) -> f(A,C) collapsed.
% Rule [377] f(f(B,f(f(A,f(C,D)),C)),f(f(C,D),f(C,D))) -> f(C,D) collapsed.
% Rule
% [382]
% f(f(B,f(f(A,A),C)),f(f(f(A,A),C),f(f(f(B,f(B,f(A,A))),f(f(A,A),C)),f(A,A))))
% -> f(f(A,A),C) collapsed.
% Rule
% [387]
% f(f(B,f(A,A)),f(B,f(f(f(f(f(C,f(A,B)),B),f(f(A,B),f(f(C,f(A,B)),B))),B),
% f(A,A)))) -> B collapsed.
% Rule
% [409]
% f(f(B,A),f(B,f(f(f(f(C,f(f(f(A,A),B),f(f(A,A),B))),f(f(f(A,A),B),f(f(A,A),B))),B),A)))
% -> B collapsed.
% Rule
% [411]
% f(f(B,A),f(B,f(f(f(f(f(f(f(A,A),B),f(f(A,A),B)),C),f(f(f(A,A),B),f(f(A,A),B))),B),A)))
% -> B collapsed.
% Rule
% [412]
% f(f(f(f(B,B),A),f(B,B)),f(f(f(B,B),A),f(f(f(C,f(C,f(B,B))),f(f(B,B),A)),
% f(B,B)))) -> f(f(B,B),A) collapsed.
% Rule
% [457]
% f(f(B,A),f(B,f(f(f(f(f(f(f(C,C),B),f(f(C,C),B)),f(B,A)),f(f(f(C,C),B),
% f(f(C,C),B))),B),C)))
% -> B collapsed.
% Rule
% [458]
% f(f(B,A),f(A,f(f(f(f(f(f(f(C,C),A),f(f(C,C),A)),f(B,A)),f(f(f(C,C),A),
% f(f(C,C),A))),A),C)))
% -> A collapsed.
% Rule
% [460]
% f(f(f(B,f(f(A,C),f(A,C))),C),f(C,f(f(f(f(B,f(f(A,C),f(A,C))),f(f(A,C),f(A,C))),C),
% f(A,A)))) -> C collapsed.
% Rule
% [461]
% f(f(f(f(f(B,A),f(B,A)),C),A),f(A,f(f(f(f(f(f(B,A),f(B,A)),C),f(f(B,A),f(B,A))),A),
% f(B,B)))) -> A collapsed.
% Rule
% [466]
% f(f(f(f(B,f(f(A,A),A)),A),C),f(f(f(A,A),A),f(f(f(B,f(B,f(A,A))),f(f(A,A),A)),
% f(A,A)))) -> f(f(A,A),A)
% collapsed.
% Rule
% [469]
% f(f(f(f(B,f(A,C)),C),C),f(C,f(f(f(f(f(B,f(A,C)),C),f(f(A,C),f(f(B,f(A,C)),C))),C),
% f(A,A)))) -> C collapsed.
% Rule [504] f(f(f(B,B),A),f(f(B,C),f(f(f(f(B,B),B),f(B,C)),f(B,B)))) -> f(B,C)
% collapsed.
% Rule
% [541] f(f(f(f(f(B,B),A),f(A,f(B,B))),C),f(A,f(f(f(f(B,B),B),A),f(B,B)))) -> A
% collapsed.
% Rule
% [597]
% f(f(f(B,f(f(A,A),f(f(C,f(A,A)),D))),f(A,A)),f(C,f(A,A))) ->
% f(f(C,f(A,A)),f(f(B,f(f(A,A),f(f(C,f(A,A)),D))),f(A,A))) collapsed.
% Rule [606] f(f(f(f(f(B,B),A),f(f(C,f(f(B,B),A)),f(B,B))),D),B) -> f(B,B)
% collapsed.
% Current number of equations to process: 3730
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced : [616] f(f(A,A),B) <-> f(B,f(A,A))
% Rule
% [197]
% f(f(f(f(f(B,A),f(A,C)),D),f(f(f(B,A),f(A,C)),D)),A) -> f(f(f(B,A),f(A,C)),D)
% collapsed.
% Rule [325] f(f(f(B,B),A),f(f(B,B),A)) <-> f(f(A,f(B,B)),f(f(B,B),A))
% collapsed.
% Rule
% [568]
% f(f(f(f(f(B,A),f(C,A)),D),f(f(f(B,A),f(C,A)),D)),A) -> f(f(f(B,A),f(C,A)),D)
% collapsed.
% Rule
% [580]
% f(f(f(f(f(B,f(A,C)),A),D),f(f(f(B,f(A,C)),A),D)),f(A,C)) ->
% f(f(f(B,f(A,C)),A),D) collapsed.
% Current number of equations to process: 3730
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced : [617] f(f(f(C,C),f(f(A,f(A,f(C,B))),B)),B) -> f(B,B)
% Current number of equations to process: 3730
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced : [618] f(B,f(f(C,C),f(f(A,f(A,f(C,B))),B))) -> f(B,B)
% Current number of equations to process: 3729
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced : [619] f(f(f(A,C),f(A,C)),f(f(f(B,f(A,C)),C),D)) -> f(A,C)
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced : [620] f(f(f(C,D),f(C,D)),f(B,f(f(A,f(C,D)),D))) -> f(C,D)
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced : [621] f(f(f(A,C),f(A,C)),f(f(f(B,f(A,C)),A),D)) -> f(A,C)
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced : [622] f(f(f(C,D),f(C,D)),f(B,f(f(A,f(C,D)),C))) -> f(C,D)
% Current number of equations to process: 3725
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [623] f(f(f(f(f(B,B),A),f(f(B,B),f(C,f(f(B,B),A)))),D),B) -> f(B,B)
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced : [624] f(f(f(B,B),A),f(f(B,C),f(B,f(B,B)))) -> f(B,C)
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 335
% Rule [590]
% f(f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B))),f(C,B)) ->
% f(f(C,B),f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B)))) is composed into 
% [590]
% f(f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B))),f(C,B)) ->
% f(f(A,f(f(C,B),f(B,D))),f(C,B))
% New rule produced :
% [625]
% f(f(B,A),f(A,f(f(C,f(f(B,A),f(A,D))),f(B,A)))) ->
% f(f(C,f(f(B,A),f(A,D))),f(B,A))
% Rule
% [591]
% f(B,f(f(A,B),f(B,f(f(C,f(f(A,B),f(B,D))),f(A,B))))) ->
% f(B,f(f(C,f(f(A,B),f(B,D))),f(A,B))) collapsed.
% Current number of equations to process: 3722
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [626]
% f(B,f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),A)),B))) ->
% f(f(f(B,A),f(f(C,f(B,A)),A)),B)
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [627]
% f(f(A,A),f(f(f(B,f(A,A)),f(f(A,A),f(B,f(A,A)))),f(f(A,A),C))) -> f(f(A,A),C)
% Current number of equations to process: 3725
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [628] f(f(f(f(f(B,B),A),f(A,f(B,B))),C),f(A,f(f(B,B),f(f(B,f(B,B)),A)))) -> A
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [629]
% f(B,f(f(C,f(f(A,C),f(C,D))),f(f(B,f(B,f(f(f(A,C),f(C,D)),B))),B))) -> f(B,B)
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [630]
% f(f(C,f(f(A,C),f(C,D))),f(f(f(B,f(f(A,C),f(C,D))),f(A,C)),V_4)) ->
% f(f(A,C),f(C,D))
% Current number of equations to process: 3722
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [631]
% f(f(C,f(f(A,C),f(C,D))),f(f(f(B,f(f(A,C),f(C,D))),f(C,D)),V_4)) ->
% f(f(A,C),f(C,D))
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [632]
% f(f(A,f(f(B,A),f(A,C))),f(f(f(B,A),f(f(f(B,A),f(A,C)),D)),V_4)) ->
% f(f(B,A),f(A,C))
% Current number of equations to process: 3720
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [633]
% f(f(B,f(f(C,B),f(B,D))),f(B,f(f(A,f(f(C,B),f(B,D))),f(C,B)))) ->
% f(f(C,B),f(B,D))
% Current number of equations to process: 3719
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced : [634] f(f(B,B),f(f(A,f(B,B)),f(f(B,B),A))) -> f(f(B,B),A)
% Current number of equations to process: 3730
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [635]
% f(f(B,A),f(A,f(f(D,f(f(C,D),f(D,V_4))),f(f(B,f(B,f(f(f(C,D),f(D,V_4)),A))),A))))
% -> A
% Current number of equations to process: 3738
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [636] f(f(f(f(B,B),A),C),f(f(A,f(B,B)),f(f(B,B),A))) -> f(f(B,B),A)
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [637] f(f(B,f(f(A,A),C)),f(f(C,f(A,A)),f(f(A,A),C))) -> f(f(A,A),C)
% Current number of equations to process: 3765
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [638]
% f(f(B,f(A,A)),f(B,f(f(A,A),f(f(f(f(A,B),f(A,B)),f(C,f(f(A,B),f(A,B)))),B))))
% -> B
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [639]
% f(f(B,f(A,A)),f(B,f(f(A,A),f(f(f(f(A,B),f(A,B)),f(f(f(A,B),f(A,B)),C)),B))))
% -> B
% Current number of equations to process: 3770
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [640]
% f(f(B,A),f(B,f(f(C,C),f(f(f(f(C,B),f(C,B)),f(f(f(C,B),f(C,B)),f(B,A))),B))))
% -> B
% Current number of equations to process: 3769
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [641]
% f(f(B,A),f(A,f(f(C,C),f(f(f(f(C,A),f(C,A)),f(f(f(C,A),f(C,A)),f(B,A))),A))))
% -> A
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [642]
% f(B,f(f(f(A,A),B),f(f(A,A),f(f(f(C,B),f(f(C,B),f(A,A))),f(f(A,A),B))))) ->
% f(f(A,A),B)
% Current number of equations to process: 3767
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [643]
% f(f(B,A),f(A,f(f(A,f(f(C,A),f(A,D))),f(f(B,f(B,f(A,f(f(C,A),f(A,D))))),A))))
% -> A
% Current number of equations to process: 3766
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [644]
% f(f(B,f(A,A)),f(B,f(f(A,A),f(f(f(f(A,B),f(B,C)),f(B,f(f(A,B),f(B,C)))),B))))
% -> B
% Current number of equations to process: 3765
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [645]
% f(f(A,f(f(B,A),f(f(C,f(B,A)),f(f(B,A),D)))),f(B,A)) ->
% f(f(B,A),f(A,f(f(B,A),f(f(C,f(B,A)),f(f(B,A),D)))))
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [646]
% f(B,f(f(A,B),f(B,f(f(A,B),f(f(C,f(A,B)),f(f(A,B),D)))))) ->
% f(B,f(f(A,B),f(f(C,f(A,B)),f(f(A,B),D))))
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [647]
% f(B,f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(B,A),D)))) ->
% f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(B,A),D))
% Current number of equations to process: 3761
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [648]
% f(f(f(f(B,A),f(f(C,f(B,A)),f(D,f(B,A)))),B),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),f(D,f(B,A)))),B))
% Current number of equations to process: 3759
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [649]
% f(f(f(f(B,A),f(f(C,f(B,A)),B)),f(D,f(B,A))),f(B,A)) ->
% f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),B)),f(D,f(B,A))))
% Current number of equations to process: 3759
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [650]
% f(f(f(B,A),f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(B,A),D))),B) ->
% f(f(f(B,A),f(f(C,f(B,A)),B)),f(f(B,A),D))
% Current number of equations to process: 3758
% Current number of ordered equations: 0
% Current number of rules: Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------