%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT072-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n093.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:26:13 EDT 2014

% Result   : Timeout 300.03s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT072-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n093.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun  5 19:43:43 CDT 2014
% % CPUTime  : 300.03 
% Processing problem /tmp/CiME_38606_n093.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(C,f(f(A,A),C)),C))) = A;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% f lr_lex;
% ";
% 
% let p1 = precedence F "
% f > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% f mul;
% ";
% 
% let p2 = precedence F "
% f > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " f(a,f(f(b,c),f(b,c))) = f(c,f(f(b,a),f(b,a)));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { f(f(f(f(B,A),f(A,C)),D),f(A,f(f(C,f(f(A,A),C)),C)))
% = A } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { f(a,f(f(b,c),f(b,c))) =
% f(c,f(f(b,a),f(b,a))) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(C,f(f(A,A),C)),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(C,f(f(f(B,A),f(B,A)),C)),C))) -> f(B,A)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(V_4,f(f(A,A),V_4)),V_4))) -> A
% Rule [1] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(C,f(f(A,A),C)),C))) -> A collapsed.
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced : [4] f(f(B,A),f(B,f(f(C,f(f(B,B),C)),C))) -> B
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced : [5] f(f(B,A),f(A,f(f(C,f(f(A,A),C)),C))) -> A
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [6] f(f(B,A),f(A,A)) -> A
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [7] f(f(B,A),f(A,f(f(A,A),C))) -> A
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [8] f(f(B,f(A,A)),A) -> f(A,A)
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [9] f(B,f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [10] f(f(B,A),f(B,B)) -> B
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [11] f(B,f(f(A,f(f(B,B),A)),A)) -> f(B,B)
% Rule [2] f(B,f(f(B,A),f(f(C,f(f(f(B,A),f(B,A)),C)),C))) -> f(B,A) collapsed.
% Rule [3] f(f(f(f(B,A),f(A,C)),D),f(A,f(f(V_4,f(f(A,A),V_4)),V_4))) -> A
% collapsed.
% Rule [4] f(f(B,A),f(B,f(f(C,f(f(B,B),C)),C))) -> B collapsed.
% Rule [5] f(f(B,A),f(A,f(f(C,f(f(A,A),C)),C))) -> A collapsed.
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [12] f(B,f(f(B,B),f(B,A))) -> f(B,B)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [13] f(f(f(B,B),A),B) -> f(B,B)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [14] f(B,f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [15] f(f(B,B),f(f(A,f(B,A)),A)) -> B
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [16] f(B,f(f(B,B),A)) -> f(B,B)
% Rule [7] f(f(B,A),f(A,f(f(A,A),C))) -> A collapsed.
% Rule [12] f(B,f(f(B,B),f(B,A))) -> f(B,B) collapsed.
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [17] f(B,f(A,f(B,B))) -> f(B,B)
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [18] f(f(f(B,A),f(B,A)),A) -> f(B,A)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [19] f(f(B,B),f(B,A)) -> B
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [20] f(f(f(B,A),f(B,A)),B) -> f(B,A)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [21] f(f(B,B),f(A,B)) -> B
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [22] f(f(f(B,f(A,B)),B),f(A,A)) -> A
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [23] f(f(f(B,f(f(A,A),B)),B),A) -> f(A,A)
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [24] f(B,f(f(f(B,A),B),f(B,A))) -> f(B,B)
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [25] f(B,f(f(f(A,B),B),f(A,B))) -> f(B,B)
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [26] f(f(f(f(B,A),B),f(B,A)),B) -> f(B,B)
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [27] f(f(f(f(B,A),A),f(B,A)),A) -> f(A,A)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [28] f(f(f(f(B,A),f(A,C)),D),f(A,A)) -> A
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [29] f(f(B,f(f(A,C),f(C,D))),f(C,C)) -> C
% Current number of equations to process: 136
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [30] f(f(f(f(B,A),f(C,A)),D),f(A,A)) -> A
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [31] f(f(B,B),f(f(f(A,B),f(B,C)),D)) -> B
% Current number of equations to process: 193
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced : [32] f(f(f(f(B,A),f(B,C)),D),f(B,B)) -> B
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [33] f(f(B,f(f(A,C),f(D,C))),f(C,C)) -> C
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [34] f(f(B,B),f(A,f(f(C,B),f(B,D)))) -> B
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced : [35] f(f(B,f(f(A,C),f(A,D))),f(A,A)) -> A
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [36] f(f(B,B),f(f(f(A,B),f(C,B)),D)) -> B
% Current number of equations to process: 373
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced : [37] f(f(B,A),f(B,A)) <-> f(f(B,A),f(A,f(A,A)))
% The conjecture has been reduced. 
% Conjecture is now:
% f(a,f(f(b,c),f(c,f(c,c)))) = f(c,f(f(b,a),f(b,a)))
% 
% Current number of equations to process: 378
% Current number of ordered equations: 2
% Current number of rules: 30
% New rule produced : [38] f(f(B,A),f(A,f(A,A))) <-> f(f(B,A),f(B,A))
% Current number of equations to process: 378
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced : [39] f(f(f(f(B,A),f(C,B)),D),f(B,B)) -> B
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [40] f(f(A,B),f(A,B)) <-> f(f(B,f(B,B)),f(A,B))
% Current number of equations to process: 398
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [41] f(f(B,f(B,B)),f(A,B)) <-> f(f(A,B),f(A,B))
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [42] f(B,f(f(B,A),f(A,f(A,A)))) -> f(B,A)
% Current number of equations to process: 437
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [43] f(B,f(f(A,B),f(B,f(B,B)))) -> f(A,B)
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [44] f(f(f(B,A),f(A,f(A,A))),A) -> f(B,A)
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [45] f(f(B,A),f(B,A)) <-> f(f(B,A),f(B,f(B,B)))
% Current number of equations to process: 433
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced : [46] f(f(B,A),f(B,f(B,B))) <-> f(f(B,A),f(B,A))
% Current number of equations to process: 433
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced : [47] f(f(f(B,A),f(A,f(A,A))),B) -> f(B,A)
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [48] f(B,f(f(A,f(A,A)),f(B,A))) -> f(B,A)
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [49] f(B,f(f(B,f(B,B)),f(A,B))) -> f(A,B)
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [50] f(f(f(B,f(B,B)),f(A,B)),B) -> f(A,B)
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [51] f(f(B,A),f(B,A)) <-> f(f(B,f(B,B)),f(B,A))
% Current number of equations to process: 547
% Current number of ordered equations: 2
% Current number of rules: 44
% New rule produced : [52] f(f(B,f(B,B)),f(B,A)) <-> f(f(B,A),f(B,A))
% Current number of equations to process: 547
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [53] f(f(f(B,f(B,B)),f(A,B)),A) -> f(A,B)
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [54] f(B,f(f(B,A),f(B,f(B,B)))) -> f(B,A)
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [55] f(f(f(B,A),f(B,f(B,B))),B) -> f(B,A)
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [56] f(B,f(f(A,B),f(A,f(A,A)))) -> f(A,B)
% Current number of equations to process: 713
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [57] f(f(f(B,A),f(B,f(B,B))),A) -> f(B,A)
% Current number of equations to process: 712
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [58] f(B,f(f(B,f(B,B)),f(B,A))) -> f(B,A)
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [59] f(f(f(B,f(B,B)),f(B,A)),B) -> f(B,A)
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [60] f(B,f(f(A,f(A,A)),f(A,B))) -> f(A,B)
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [61] f(f(f(B,f(B,B)),f(B,A)),A) -> f(B,A)
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [62] f(f(B,B),B) -> f(B,f(B,B))
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [63] f(f(B,B),f(f(f(B,A),f(B,C)),D)) -> B
% Current number of equations to process: 1412
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [64] f(f(B,B),f(A,f(f(C,B),f(D,B)))) -> B
% Current number of equations to process: 1487
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced : [65] f(f(B,f(f(A,C),f(D,A))),f(A,A)) -> A
% Current number of equations to process: 1492
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [66] f(f(B,B),f(A,f(f(B,C),f(B,D)))) -> B
% Current number of equations to process: 1623
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [67] f(f(B,B),f(f(f(B,A),f(C,B)),D)) -> B
% Current number of equations to process: 1691
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [68] f(f(A,B),f(B,f(B,B))) <-> f(f(B,f(B,B)),f(A,B))
% The conjecture has been reduced. 
% Conjecture is now:
% f(a,f(f(c,f(c,c)),f(b,c))) = f(c,f(f(b,a),f(b,a)))
% 
% Current number of equations to process: 1772
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced : [69] f(f(B,f(B,B)),f(A,B)) <-> f(f(A,B),f(B,f(B,B)))
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [70] f(f(B,A),f(A,f(A,A))) <-> f(f(B,A),f(B,f(B,B)))
% Current number of equations to process: 1889
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced : [71] f(f(B,A),f(B,f(B,B))) <-> f(f(B,A),f(A,f(A,A)))
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [72] f(f(A,B),f(A,f(A,A))) <-> f(f(B,f(B,B)),f(A,B))
% Current number of equations to process: 2085
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced : [73] f(f(B,f(B,B)),f(A,B)) <-> f(f(A,B),f(A,f(A,A)))
% Current number of equations to process: 2089
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [74] f(f(B,A),f(B,f(B,B))) <-> f(f(B,f(B,B)),f(B,A))
% Current number of equations to process: 2315
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced : [75] f(f(B,f(B,B)),f(B,A)) <-> f(f(B,A),f(B,f(B,B)))
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [76] f(f(B,A),f(A,f(A,A))) <-> f(f(B,f(B,B)),f(B,A))
% Current number of equations to process: 2445
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced : [77] f(f(B,f(B,B)),f(B,A)) <-> f(f(B,A),f(A,f(A,A)))
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [78] f(f(A,f(A,A)),f(A,B)) <-> f(f(B,f(B,B)),f(A,B))
% Current number of equations to process: 2689
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced : [79] f(f(B,f(B,B)),f(A,B)) <-> f(f(A,f(A,A)),f(A,B))
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [80] f(f(B,B),f(A,f(f(B,C),f(D,B)))) -> B
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [81] f(f(B,A),f(f(A,f(B,A)),A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 2989
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [82] f(f(B,A),f(f(B,f(B,A)),B)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [83] f(f(f(B,f(A,B)),B),f(A,B)) -> f(f(A,B),f(A,B))
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [84] f(f(f(B,f(B,A)),B),f(B,A)) -> f(f(B,A),f(B,A))
% Current number of equations to process: 3141
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [85] f(B,f(f(B,A),f(f(B,A),f(B,A)))) -> f(B,B)
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [86] f(B,f(f(A,B),f(f(A,B),f(A,B)))) -> f(B,B)
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [87] f(f(f(B,A),f(f(B,A),f(B,A))),B) -> f(B,B)
% Current number of equations to process: 3355
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [88] f(f(f(A,B),f(f(A,B),f(A,B))),B) -> f(B,B)
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [89] f(f(f(f(B,A),f(A,f(A,A))),C),f(B,B)) -> B
% Current number of equations to process: 3491
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [90] f(f(B,f(B,B)),f(A,A)) -> A
% Current number of equations to process: 3494
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [91] f(f(f(B,B),A),f(f(C,B),f(C,B))) -> f(C,B)
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [92] f(A,A) <-> f(f(B,f(B,B)),A)
% Rule [40] f(f(A,B),f(A,B)) <-> f(f(B,f(B,B)),f(A,B)) collapsed.
% Rule [51] f(f(B,A),f(B,A)) <-> f(f(B,f(B,B)),f(B,A)) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% f(a,f(f(c,f(c,c)),f(b,c))) = f(c,f(f(c,f(c,c)),f(b,a)))
% 
% Current number of equations to process: 3564
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced : [93] f(f(B,f(B,B)),A) <-> f(A,A)
% Rule [41] f(f(B,f(B,B)),f(A,B)) <-> f(f(A,B),f(A,B)) collapsed.
% Rule [52] f(f(B,f(B,B)),f(B,A)) <-> f(f(B,A),f(B,A)) collapsed.
% Rule [87] f(f(f(B,A),f(f(B,A),f(B,A))),B) -> f(B,B) collapsed.
% Rule [88] f(f(f(A,B),f(f(A,B),f(A,B))),B) -> f(B,B) collapsed.
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [94] f(f(B,B),f(A,f(A,A))) -> B
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [95] f(B,B) <-> f(B,f(A,f(A,A)))
% Rule [37] f(f(B,A),f(B,A)) <-> f(f(B,A),f(A,f(A,A))) collapsed.
% Rule [45] f(f(B,A),f(B,A)) <-> f(f(B,A),f(B,f(B,B))) collapsed.
% Current number of equations to process: 3586
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [96] f(B,f(A,f(A,A))) <-> f(f(A,f(A,A)),B)
% Rule [68] f(f(A,B),f(B,f(B,B))) <-> f(f(B,f(B,B)),f(A,B)) collapsed.
% Rule [74] f(f(B,A),f(B,f(B,B))) <-> f(f(B,f(B,B)),f(B,A)) collapsed.
% Current number of equations to process: 3617
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [97] f(f(B,f(B,B)),f(A,f(B,f(B,B)))) -> A
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [98] f(f(B,f(B,B)),f(f(B,f(B,B)),A)) -> A
% Current number of equations to process: 3639
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [99] f(f(B,f(A,A)),f(f(C,A),f(C,A))) -> f(C,A)
% Current number of equations to process: 3704
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [100] f(f(f(B,B),A),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 3702
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced : [101] f(f(f(B,A),f(B,A)),f(f(A,A),C)) -> f(B,A)
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [102] f(f(B,A),f(f(C,f(C,C)),A)) -> A
% Current number of equations to process: 3782
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [103] f(f(B,A),f(f(C,f(C,C)),B)) -> B
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [104] f(f(f(B,f(B,B)),A),f(A,C)) -> A
% Current number of equations to process: 3780
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [105] f(f(f(B,f(B,B)),A),f(C,A)) -> A
% Current number of equations to process: 3779
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [106] f(f(f(B,f(B,B)),A),A) -> f(A,f(A,A))
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [107] f(f(B,A),f(A,f(C,f(C,C)))) -> A
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [108] f(f(B,A),f(B,f(C,f(C,C)))) -> B
% Current number of equations to process: 3913
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [109] f(f(B,f(A,f(A,A))),f(B,C)) -> B
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [110] f(f(B,f(A,f(A,A))),f(C,B)) -> B
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [111] f(f(B,f(A,f(A,A))),B) -> f(B,f(B,B))
% Current number of equations to process: 3910
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [112] f(A,f(C,f(C,C))) <-> f(f(B,f(B,B)),A)
% Rule [72] f(f(A,B),f(A,f(A,A))) <-> f(f(B,f(B,B)),f(A,B)) collapsed.
% Rule [76] f(f(B,A),f(A,f(A,A))) <-> f(f(B,f(B,B)),f(B,A)) collapsed.
% Rule [96] f(B,f(A,f(A,A))) <-> f(f(A,f(A,A)),B) collapsed.
% Current number of equations to process: 3919
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced : [113] f(f(B,f(B,B)),A) <-> f(A,f(C,f(C,C)))
% Rule [69] f(f(B,f(B,B)),f(A,B)) <-> f(f(A,B),f(B,f(B,B))) collapsed.
% Rule [73] f(f(B,f(B,B)),f(A,B)) <-> f(f(A,B),f(A,f(A,A))) collapsed.
% Rule [75] f(f(B,f(B,B)),f(B,A)) <-> f(f(B,A),f(B,f(B,B))) collapsed.
% Rule [77] f(f(B,f(B,B)),f(B,A)) <-> f(f(B,A),f(A,f(A,A))) collapsed.
% Current number of equations to process: 3919
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [114] f(f(B,f(f(A,f(A,A)),C)),C) -> f(C,C)
% Current number of equations to process: 3918
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [115] f(B,f(f(A,f(A,A)),f(B,C))) -> f(B,C)
% Rule [48] f(B,f(f(A,f(A,A)),f(B,A))) -> f(B,A) collapsed.
% Rule [58] f(B,f(f(B,f(B,B)),f(B,A))) -> f(B,A) collapsed.
% Current number of equations to process: 3917
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [116] f(f(f(f(B,f(B,B)),A),C),A) -> f(A,A)
% Current number of equations to process: 3916
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [117] f(B,f(f(A,f(A,A)),f(C,B))) -> f(C,B)
% Rule [49] f(B,f(f(B,f(B,B)),f(A,B))) -> f(A,B) collapsed.
% Rule [60] f(B,f(f(A,f(A,A)),f(A,B))) -> f(A,B) collapsed.
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [118] f(B,f(f(f(A,f(A,A)),B),C)) -> f(B,B)
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [119] f(B,f(A,f(f(C,f(C,C)),B))) -> f(B,B)
% Current number of equations to process: 3913
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [120] f(f(f(B,f(B,B)),f(A,C)),C) -> f(A,C)
% Rule [50] f(f(f(B,f(B,B)),f(A,B)),B) -> f(A,B) collapsed.
% Rule [61] f(f(f(B,f(B,B)),f(B,A)),A) -> f(B,A) collapsed.
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [121] f(f(f(B,f(B,B)),f(A,C)),A) -> f(A,C)
% Rule [53] f(f(f(B,f(B,B)),f(A,B)),A) -> f(A,B) collapsed.
% Rule [59] f(f(f(B,f(B,B)),f(B,A)),B) -> f(B,A) collapsed.
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [122] f(f(B,f(f(A,f(A,A)),B)),C) <-> f(C,C)
% Current number of equations to process: 3910
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced : [123] f(C,C) <-> f(f(B,f(f(A,f(A,A)),B)),C)
% Current number of equations to process: 3910
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [124] f(f(B,f(A,f(C,f(C,C)))),A) -> f(A,A)
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [125] f(B,f(f(B,A),f(C,f(C,C)))) -> f(B,A)
% Rule [42] f(B,f(f(B,A),f(A,f(A,A)))) -> f(B,A) collapsed.
% Rule [54] f(B,f(f(B,A),f(B,f(B,B)))) -> f(B,A) collapsed.
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [126] f(f(f(B,f(A,f(A,A))),C),B) -> f(B,B)
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [127] f(B,f(f(A,B),f(C,f(C,C)))) -> f(A,B)
% Rule [43] f(B,f(f(A,B),f(B,f(B,B)))) -> f(A,B) collapsed.
% Rule [56] f(B,f(f(A,B),f(A,f(A,A)))) -> f(A,B) collapsed.
% Current number of equations to process: 3906
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [128] f(B,f(f(B,f(A,f(A,A))),C)) -> f(B,B)
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [129] f(B,f(A,f(B,f(C,f(C,C))))) -> f(B,B)
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [130] f(f(f(B,A),f(C,f(C,C))),A) -> f(B,A)
% Rule [44] f(f(f(B,A),f(A,f(A,A))),A) -> f(B,A) collapsed.
% Rule [57] f(f(f(B,A),f(B,f(B,B))),A) -> f(B,A) collapsed.
% Current number of equations to process: 3903
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [131] f(f(f(B,A),f(C,f(C,C))),B) -> f(B,A)
% Rule [47] f(f(f(B,A),f(A,f(A,A))),B) -> f(B,A) collapsed.
% Rule [55] f(f(f(B,A),f(B,f(B,B))),B) -> f(B,A) collapsed.
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [132] f(C,C) <-> f(f(B,f(B,f(A,f(A,A)))),C)
% Current number of equations to process: 3901
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced : [133] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,C)
% Current number of equations to process: 3901
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [134] f(f(B,f(f(A,f(A,A)),B)),f(C,C)) -> C
% Current number of equations to process: 3916
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced : [135] f(f(B,f(B,B)),f(f(A,f(A,A)),C)) -> C
% Rule [98] f(f(B,f(B,B)),f(f(B,f(B,B)),A)) -> A collapsed.
% Current number of equations to process: 3916
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [136] f(f(B,B),f(A,f(f(C,f(C,C)),A))) -> B
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [137] f(f(B,f(B,B)),f(A,f(C,f(C,C)))) -> A
% Rule [97] f(f(B,f(B,B)),f(A,f(B,f(B,B)))) -> A collapsed.
% Current number of equations to process: 3906
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced : [138] f(f(B,f(B,f(A,f(A,A)))),f(C,C)) -> C
% Current number of equations to process: 3906
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [139] f(f(B,B),f(A,f(A,f(C,f(C,C))))) -> B
% Current number of equations to process: 3904
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced : [140] f(f(B,f(A,f(A,A))),f(C,f(C,C))) -> B
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [141] f(f(B,f(A,A)),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 3951
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [142] f(f(f(B,A),f(B,A)),f(C,f(A,A))) -> f(B,A)
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [143] f(f(f(B,A),f(B,A)),f(f(B,B),C)) -> f(B,A)
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [144] f(f(f(B,A),B),f(B,A)) -> B
% Rule [24] f(B,f(f(f(B,A),B),f(B,A))) -> f(B,B) collapsed.
% Rule [26] f(f(f(f(B,A),B),f(B,A)),B) -> f(B,B) collapsed.
% Current number of equations to process: 4031
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [145] f(f(f(A,B),B),f(A,B)) -> B
% Rule [25] f(B,f(f(f(A,B),B),f(A,B))) -> f(B,B) collapsed.
% Rule [27] f(f(f(f(B,A),A),f(B,A)),A) -> f(A,A) collapsed.
% Current number of equations to process: 4031
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [146] f(A,f(A,A)) <-> f(B,f(B,B))
% Rule [70] f(f(B,A),f(A,f(A,A))) <-> f(f(B,A),f(B,f(B,B))) collapsed.
% Rule [71] f(f(B,A),f(B,f(B,B))) <-> f(f(B,A),f(A,f(A,A))) collapsed.
% Rule [78] f(f(A,f(A,A)),f(A,B)) <-> f(f(B,f(B,B)),f(A,B)) collapsed.
% Rule [79] f(f(B,f(B,B)),f(A,B)) <-> f(f(A,f(A,A)),f(A,B)) collapsed.
% Rule [85] f(B,f(f(B,A),f(f(B,A),f(B,A)))) -> f(B,B) collapsed.
% Rule [86] f(B,f(f(A,B),f(f(A,B),f(A,B)))) -> f(B,B) collapsed.
% Current number of equations to process: 4149
% Current number of ordered equations: 0
% Current number of rules: 94
% Rule [123] f(C,C) <-> f(f(B,f(f(A,f(A,A)),B)),C) is composed into [123]
% f(C,C) <->
% f(f(c,
% f(c,c)),C)
% New rule produced : [147] f(B,f(f(A,f(A,A)),B)) <-> f(C,f(C,C))
% Rule [122] f(f(B,f(f(A,f(A,A)),B)),C) <-> f(C,C) collapsed.
% Rule [134] f(f(B,f(f(A,f(A,A)),B)),f(C,C)) -> C collapsed.
% Rule [136] f(f(B,B),f(A,f(f(C,f(C,C)),A))) -> B collapsed.
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [148] f(B,f(B,f(A,f(A,A)))) <-> f(C,f(C,C))
% Rule [139] f(f(B,B),f(A,f(A,f(C,f(C,C))))) -> B collapsed.
% Current number of equations to process: 1429
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced : [149] f(C,f(C,C)) <-> f(B,f(B,f(A,f(A,A))))
% Current number of equations to process: 1429
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [150] f(C,f(D,f(D,D))) <-> f(f(B,f(B,f(A,f(A,A)))),C)
% Current number of equations to process: 1702
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced : [151] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,f(D,f(D,D)))
% Current number of equations to process: 1702
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [152] f(f(f(B,A),f(B,A)),f(C,f(B,B))) -> f(B,A)
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [153] f(f(B,f(A,B)),B) -> f(A,B)
% Rule [11] f(B,f(f(A,f(f(B,B),A)),A)) -> f(B,B) collapsed.
% Rule [15] f(f(B,B),f(f(A,f(B,A)),A)) -> B collapsed.
% Rule [22] f(f(f(B,f(A,B)),B),f(A,A)) -> A collapsed.
% Rule [23] f(f(f(B,f(f(A,A),B)),B),A) -> f(A,A) collapsed.
% Rule [81] f(f(B,A),f(f(A,f(B,A)),A)) -> f(f(B,A),f(B,A)) collapsed.
% Rule [83] f(f(f(B,f(A,B)),B),f(A,B)) -> f(f(A,B),f(A,B)) collapsed.
% Current number of equations to process: 1781
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [154] f(f(B,f(B,A)),B) -> f(B,A)
% Rule [82] f(f(B,A),f(f(B,f(B,A)),B)) -> f(f(B,A),f(B,A)) collapsed.
% Rule [84] f(f(f(B,f(B,A)),B),f(B,A)) -> f(f(B,A),f(B,A)) collapsed.
% Current number of equations to process: 1781
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [155] f(B,f(f(B,A),B)) -> f(B,A)
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [156] f(B,f(f(A,B),B)) -> f(A,B)
% Current number of equations to process: 1844
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [157] f(B,f(B,f(A,f(A,A)))) <-> f(C,f(C,f(D,f(D,D))))
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [158] f(f(B,A),f(A,f(B,A))) -> A
% Current number of equations to process: 2239
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [159] f(f(B,A),f(B,f(B,A))) -> B
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [160] f(f(f(B,A),f(C,B)),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 2348
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [161] f(f(f(A,B),f(C,B)),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 2347
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [162] f(f(f(A,B),f(B,C)),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [163] f(f(f(B,A),f(B,C)),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 2345
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [164] f(f(A,A),f(f(B,A),f(B,A))) -> f(B,f(B,B))
% Current number of equations to process: 2344
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [165] f(f(B,B),f(f(B,A),f(B,A))) -> f(B,f(B,B))
% Current number of equations to process: 2343
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [166] f(f(B,B),f(f(B,A),f(C,B))) -> f(B,f(B,B))
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [167] f(f(B,B),f(f(A,B),f(B,C))) -> f(B,f(B,B))
% Current number of equations to process: 2341
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [168] f(f(B,B),f(f(A,B),f(C,B))) -> f(B,f(B,B))
% Rule [164] f(f(A,A),f(f(B,A),f(B,A))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2340
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [169] f(f(B,B),f(f(B,A),f(B,C))) -> f(B,f(B,B))
% Rule [165] f(f(B,B),f(f(B,A),f(B,A))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2339
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [170] f(f(B,f(f(A,C),f(C,f(C,C)))),f(A,A)) -> A
% Current number of equations to process: 2942
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [171] f(f(f(f(B,f(B,B)),f(A,B)),C),f(A,A)) -> A
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [172] f(f(B,f(f(A,f(A,A)),f(C,A))),f(C,C)) -> C
% Current number of equations to process: 3011
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [173] f(f(f(f(B,A),f(B,f(B,B))),C),f(A,A)) -> A
% Current number of equations to process: 3046
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [174] f(f(B,f(f(A,C),f(A,f(A,A)))),f(C,C)) -> C
% Current number of equations to process: 3084
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [175] f(f(B,B),f(f(f(A,B),f(A,f(A,A))),C)) -> B
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [176] f(f(f(f(B,f(B,B)),f(B,A)),C),f(A,A)) -> A
% Current number of equations to process: 3157
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [177] f(f(B,f(f(A,f(A,A)),f(A,C))),f(C,C)) -> C
% Current number of equations to process: 3193
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [178] f(f(B,B),f(f(f(A,f(A,A)),f(A,B)),C)) -> B
% Current number of equations to process: 3229
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [179] f(f(B,B),f(f(f(B,A),f(A,f(A,A))),C)) -> B
% Current number of equations to process: 3257
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [180] f(f(B,B),f(f(f(A,f(A,A)),f(B,A)),C)) -> B
% Current number of equations to process: 3292
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [181] f(f(B,B),f(A,f(f(C,B),f(C,f(C,C))))) -> B
% Current number of equations to process: 3325
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [182] f(f(B,B),f(A,f(f(C,f(C,C)),f(C,B)))) -> B
% Current number of equations to process: 3362
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [183] f(f(B,B),f(A,f(f(B,C),f(C,f(C,C))))) -> B
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [184] f(f(B,B),f(A,f(f(C,f(C,C)),f(B,C)))) -> B
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [185] f(B,f(f(A,f(A,A)),f(A,f(A,A)))) -> f(A,f(A,A))
% Current number of equations to process: 3432
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [186] f(f(f(B,f(B,B)),f(B,f(B,B))),A) -> f(B,f(B,B))
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [187] f(f(f(f(B,f(B,B)),f(A,C)),D),f(C,C)) -> C
% Rule [176] f(f(f(f(B,f(B,B)),f(B,A)),C),f(A,A)) -> A collapsed.
% Current number of equations to process: 3499
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [188] f(f(f(f(B,f(B,B)),f(A,C)),D),f(A,A)) -> A
% Rule [171] f(f(f(f(B,f(B,B)),f(A,B)),C),f(A,A)) -> A collapsed.
% Current number of equations to process: 3542
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [189] f(f(B,f(f(A,f(A,A)),f(C,D))),f(D,D)) -> D
% Rule [177] f(f(B,f(f(A,f(A,A)),f(A,C))),f(C,C)) -> C collapsed.
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [190] f(f(B,f(f(A,f(A,A)),f(C,D))),f(C,C)) -> C
% Rule [172] f(f(B,f(f(A,f(A,A)),f(C,A))),f(C,C)) -> C collapsed.
% Current number of equations to process: 3618
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [191] f(f(B,B),f(f(f(A,f(A,A)),f(C,B)),D)) -> B
% Rule [178] f(f(B,B),f(f(f(A,f(A,A)),f(A,B)),C)) -> B collapsed.
% Current number of equations to process: 3656
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [192] f(f(B,B),f(f(f(A,f(A,A)),f(B,C)),D)) -> B
% Rule [180] f(f(B,B),f(f(f(A,f(A,A)),f(B,A)),C)) -> B collapsed.
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [193] f(f(B,B),f(A,f(f(C,f(C,C)),f(D,B)))) -> B
% Rule [182] f(f(B,B),f(A,f(f(C,f(C,C)),f(C,B)))) -> B collapsed.
% Current number of equations to process: 3730
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [194] f(f(B,B),f(A,f(f(C,f(C,C)),f(B,D)))) -> B
% Rule [184] f(f(B,B),f(A,f(f(C,f(C,C)),f(B,C)))) -> B collapsed.
% Current number of equations to process: 3774
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [195] f(f(B,B),f(f(f(A,B),f(C,f(C,C))),D)) -> B
% Rule [175] f(f(B,B),f(f(f(A,B),f(A,f(A,A))),C)) -> B collapsed.
% Current number of equations to process: 3808
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [196] f(f(f(f(B,A),f(C,f(C,C))),D),f(A,A)) -> A
% Rule [173] f(f(f(f(B,A),f(B,f(B,B))),C),f(A,A)) -> A collapsed.
% Current number of equations to process: 3844
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [197] f(f(f(f(B,A),f(C,f(C,C))),D),f(B,B)) -> B
% Rule [89] f(f(f(f(B,A),f(A,f(A,A))),C),f(B,B)) -> B collapsed.
% Current number of equations to process: 3878
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [198] f(f(B,f(f(A,C),f(D,f(D,D)))),f(C,C)) -> C
% Rule [174] f(f(B,f(f(A,C),f(A,f(A,A)))),f(C,C)) -> C collapsed.
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [199] f(f(B,f(f(A,C),f(D,f(D,D)))),f(A,A)) -> A
% Rule [170] f(f(B,f(f(A,C),f(C,f(C,C)))),f(A,A)) -> A collapsed.
% Current number of equations to process: 3945
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [200] f(f(B,B),f(f(f(B,A),f(C,f(C,C))),D)) -> B
% Rule [179] f(f(B,B),f(f(f(B,A),f(A,f(A,A))),C)) -> B collapsed.
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [201] f(f(B,B),f(A,f(f(C,B),f(D,f(D,D))))) -> B
% Rule [181] f(f(B,B),f(A,f(f(C,B),f(C,f(C,C))))) -> B collapsed.
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [202] f(f(B,B),f(A,f(f(B,C),f(D,f(D,D))))) -> B
% Rule [183] f(f(B,B),f(A,f(f(B,C),f(C,f(C,C))))) -> B collapsed.
% Current number of equations to process: 4035
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [203] f(B,f(f(A,f(A,A)),f(C,f(C,C)))) -> f(C,f(C,C))
% Rule [185] f(B,f(f(A,f(A,A)),f(A,f(A,A)))) -> f(A,f(A,A)) collapsed.
% Current number of equations to process: 4061
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [204] f(f(B,A),f(f(C,f(C,f(D,f(D,D)))),A)) -> A
% Current number of equations to process: 4076
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [205] f(f(B,A),f(f(C,f(C,f(D,f(D,D)))),B)) -> B
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [206] f(f(f(B,f(B,B)),f(A,f(A,A))),C) -> f(A,f(A,A))
% Rule [186] f(f(f(B,f(B,B)),f(B,f(B,B))),A) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [207] f(f(f(B,f(B,f(A,f(A,A)))),C),f(C,D)) -> C
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [208] f(f(f(B,f(B,f(A,f(A,A)))),C),f(D,C)) -> C
% Current number of equations to process: 4304
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [209] f(f(f(B,f(B,f(A,f(A,A)))),C),C) -> f(C,f(C,C))
% Current number of equations to process: 4362
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [210] f(f(B,A),f(A,f(C,f(C,f(D,f(D,D)))))) -> A
% Current number of equations to process: 4361
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [211] f(f(B,A),f(B,f(C,f(C,f(D,f(D,D)))))) -> B
% Current number of equations to process: 4464
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [212] f(A,f(C,f(C,f(D,f(D,D))))) <-> f(f(B,f(B,B)),A)
% Current number of equations to process: 4531
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced : [213] f(f(B,f(B,B)),A) <-> f(A,f(C,f(C,f(D,f(D,D)))))
% Current number of equations to process: 4531
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [214] f(f(f(B,A),f(f(A,A),C)),f(B,A)) -> f(f(A,A),C)
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [215] f(f(f(B,A),f(C,f(A,A))),f(B,A)) -> f(C,f(A,A))
% Current number of equations to process: 4699
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [216] f(f(f(B,A),f(f(B,B),C)),f(B,A)) -> f(f(B,B),C)
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [217] f(f(f(B,A),f(C,f(B,B))),f(B,A)) -> f(C,f(B,B))
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [218] f(f(f(B,A),f(A,f(A,A))),f(B,B)) -> f(B,f(B,B))
% Current number of equations to process: 1547
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [219] f(f(B,A),f(f(f(A,A),C),f(B,A))) -> f(f(A,A),C)
% Current number of equations to process: 1562
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [220] f(f(B,A),f(f(C,f(A,A)),f(B,A))) -> f(C,f(A,A))
% Current number of equations to process: 1662
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [221] f(f(B,A),f(f(f(B,B),C),f(B,A))) -> f(f(B,B),C)
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [222] f(f(B,A),f(f(C,f(B,B)),f(B,A))) -> f(C,f(B,B))
% Current number of equations to process: 1866
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [223] f(f(f(B,f(B,B)),f(f(B,B),A)),B) -> f(B,f(B,B))
% Current number of equations to process: 1971
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [224] f(f(f(f(B,B),A),f(C,f(B,B))),B) -> f(B,f(B,B))
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [225] f(f(f(B,A),f(C,f(C,C))),f(A,A)) -> f(A,f(A,A))
% Current number of equations to process: 2011
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [226] f(f(f(B,f(B,B)),f(A,C)),f(C,C)) -> f(C,f(C,C))
% Current number of equations to process: 2035
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [227] f(f(f(B,f(A,A)),f(A,f(A,A))),A) -> f(A,f(A,A))
% Current number of equations to process: 2065
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced : [228] f(f(f(B,f(B,B)),f(A,f(B,B))),B) -> f(B,f(B,B))
% Current number of equations to process: 2065
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [229] f(f(f(B,f(A,A)),f(C,f(A,A))),A) -> f(A,f(A,A))
% Rule [227] f(f(f(B,f(A,A)),f(A,f(A,A))),A) -> f(A,f(A,A)) collapsed.
% Rule [228] f(f(f(B,f(B,B)),f(A,f(B,B))),B) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2092
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [230] f(f(f(B,f(A,A)),f(f(A,A),C)),A) -> f(A,f(A,A))
% Rule [223] f(f(f(B,f(B,B)),f(f(B,B),A)),B) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2119
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [231] f(f(f(B,A),f(C,f(C,C))),f(B,B)) -> f(B,f(B,B))
% Rule [218] f(f(f(B,A),f(A,f(A,A))),f(B,B)) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2139
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [232] f(f(f(f(B,B),A),f(f(B,B),C)),B) -> f(B,f(B,B))
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [233] f(f(f(B,f(B,B)),f(A,C)),f(A,A)) -> f(A,f(A,A))
% Current number of equations to process: 2176
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [234] f(B,f(f(f(B,B),A),f(C,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 2200
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [235] f(f(B,B),f(f(A,B),f(C,f(C,C)))) -> f(B,f(B,B))
% Current number of equations to process: 2232
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [236] f(f(B,B),f(f(A,f(A,A)),f(C,B))) -> f(B,f(B,B))
% Current number of equations to process: 2254
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [237] f(B,f(f(A,f(B,B)),f(f(B,B),C))) -> f(B,f(B,B))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [238] f(B,f(f(B,f(B,B)),f(A,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 2307
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced : [239] f(B,f(f(A,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 2307
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [240] f(B,f(f(A,f(B,B)),f(C,f(B,B)))) -> f(B,f(B,B))
% Rule [238] f(B,f(f(B,f(B,B)),f(A,f(B,B)))) -> f(B,f(B,B)) collapsed.
% Rule [239] f(B,f(f(A,f(B,B)),f(B,f(B,B)))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [241] f(f(B,B),f(f(B,A),f(C,f(C,C)))) -> f(B,f(B,B))
% Current number of equations to process: 2354
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [242] f(B,f(f(f(B,B),A),f(f(B,B),C))) -> f(B,f(B,B))
% Current number of equations to process: 2371
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [243] f(f(B,B),f(f(c,f(c,c)),f(B,A))) -> f(B,f(B,B))
% Current number of equations to process: 2388
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced : [244] f(f(B,B),f(f(A,f(A,A)),f(B,C))) -> f(B,f(B,B))
% Rule [243] f(f(B,B),f(f(c,f(c,c)),f(B,A))) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [245] f(f(f(c,f(c,c)),f(f(B,B),A)),B) -> f(B,f(B,B))
% Current number of equations to process: 2057
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [246] f(f(f(B,f(B,B)),f(f(A,A),C)),A) -> f(A,f(A,A))
% Rule [245] f(f(f(c,f(c,c)),f(f(B,B),A)),B) -> f(B,f(B,B)) collapsed.
% Current number of equations to process: 2064
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [247] f(f(f(B,f(B,B)),f(A,f(C,C))),C) -> f(C,f(C,C))
% Current number of equations to process: 2064
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [248] f(f(f(B,f(A,A)),f(C,f(C,C))),A) -> f(A,f(A,A))
% Current number of equations to process: 2077
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [249] f(B,f(f(A,f(A,A)),f(f(B,B),C))) -> f(B,f(B,B))
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [250] f(B,f(f(A,f(A,A)),f(C,f(B,B)))) -> f(B,f(B,B))
% Current number of equations to process: 2048
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [251] f(B,f(f(A,f(B,B)),f(C,f(C,C)))) -> f(B,f(B,B))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [252] f(f(f(f(B,f(A,A)),f(f(A,A),C)),D),A) -> f(A,A)
% Current number of equations to process: 2019
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [253] f(f(B,f(f(A,f(C,C)),f(f(C,C),D))),C) -> f(C,C)
% Current number of equations to process: 2068
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [254] f(f(f(f(B,f(A,A)),f(C,f(A,A))),D),A) -> f(A,A)
% Current number of equations to process: 2119
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [255] f(B,f(f(f(A,f(B,B)),f(f(B,B),C)),D)) -> f(B,B)
% Current number of equations to process: 2167
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [256] f(f(f(f(f(B,B),A),f(f(B,B),C)),D),B) -> f(B,B)
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [257] f(f(B,f(f(A,f(C,C)),f(D,f(C,C)))),C) -> f(C,C)
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [258] f(B,f(A,f(f(C,f(B,B)),f(f(B,B),D)))) -> f(B,B)
% Current number of equations to process: 2299
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [259] f(f(B,f(f(f(A,A),C),f(f(A,A),D))),A) -> f(A,A)
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [260] f(B,f(f(f(A,f(B,B)),f(C,f(B,B))),D)) -> f(B,B)
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [261] f(f(f(f(f(B,B),A),f(C,f(B,B))),D),B) -> f(B,B)
% Current number of equations to process: 2429
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [262] f(B,f(f(f(f(B,B),A),f(f(B,B),C)),D)) -> f(B,B)
% Current number of equations to process: 2447
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [263] f(B,f(A,f(f(C,f(B,B)),f(D,f(B,B))))) -> f(B,B)
% Current number of equations to process: 2482
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [264] f(f(B,f(f(f(A,A),C),f(D,f(A,A)))),A) -> f(A,A)
% Current number of equations to process: 2522
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [265] f(B,f(A,f(f(f(B,B),C),f(f(B,B),D)))) -> f(B,B)
% Current number of equations to process: 2557
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [266] f(B,f(f(f(f(B,B),A),f(C,f(B,B))),D)) -> f(B,B)
% Current number of equations to process: 2589
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [267] f(B,f(A,f(f(f(B,B),C),f(D,f(B,B))))) -> f(B,B)
% Current number of equations to process: 2614
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [268] f(f(f(B,B),A),f(f(C,f(C,C)),f(D,B))) -> f(D,B)
% Current number of equations to process: 2594
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [269] f(f(f(B,f(B,f(A,f(A,A)))),f(C,B)),B) -> f(C,B)
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [270] f(B,f(f(B,f(B,f(A,f(A,A)))),f(C,B))) -> f(C,B)
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [271] f(f(f(B,f(B,f(A,f(A,A)))),f(C,B)),C) -> f(C,B)
% Current number of equations to process: 2636
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [272] f(B,f(f(B,f(B,f(A,f(A,A)))),f(B,C))) -> f(B,C)
% Current number of equations to process: 2640
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [273] f(f(f(B,f(B,f(A,f(A,A)))),f(B,C)),B) -> f(B,C)
% Current number of equations to process: 2646
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [274] f(f(f(B,f(B,f(A,f(A,A)))),f(B,C)),C) -> f(B,C)
% Current number of equations to process: 2652
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [275] f(f(f(B,B),A),f(f(C,B),f(D,f(D,D)))) -> f(C,B)
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [276] f(f(B,f(f(c,f(c,c)),f(f(A,A),C))),A) -> f(A,A)
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [277] f(f(B,f(A,A)),f(f(C,f(C,C)),f(D,A))) -> f(D,A)
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [278] f(f(B,f(A,A)),f(f(C,A),f(D,f(D,D)))) -> f(C,A)
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [279] f(f(f(f(c,f(c,c)),f(f(B,B),A)),C),B) -> f(B,B)
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [280] f(f(f(B,B),A),f(f(C,f(C,C)),f(B,D))) -> f(B,D)
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [281] f(f(f(B,B),A),f(f(B,C),f(D,f(D,D)))) -> f(B,C)
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [282] f(B,f(f(f(c,f(c,c)),f(f(B,B),A)),C)) -> f(B,B)
% Current number of equations to process: 2949
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [283] f(f(f(B,f(B,B)),f(A,C)),f(f(C,C),D)) -> f(A,C)
% Current number of equations to process: 2965
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [284] f(f(f(B,A),f(C,f(C,C))),f(f(A,A),D)) -> f(B,A)
% Current number of equations to process: 3011
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [285] f(f(f(f(B,f(B,f(A,f(A,A)))),C),D),C) -> f(C,C)
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [286] f(B,f(A,f(f(C,f(C,f(D,f(D,D)))),B))) -> f(B,B)
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [287] f(f(f(B,f(B,f(A,f(A,A)))),f(C,D)),D) -> f(C,D)
% Rule [269] f(f(f(B,f(B,f(A,f(A,A)))),f(C,B)),B) -> f(C,B) collapsed.
% Rule [274] f(f(f(B,f(B,f(A,f(A,A)))),f(B,C)),C) -> f(B,C) collapsed.
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [288] f(f(f(B,f(B,f(A,f(A,A)))),f(C,D)),C) -> f(C,D)
% Rule [271] f(f(f(B,f(B,f(A,f(A,A)))),f(C,B)),C) -> f(C,B) collapsed.
% Rule [273] f(f(f(B,f(B,f(A,f(A,A)))),f(B,C)),B) -> f(B,C) collapsed.
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [289] f(f(f(B,f(B,B)),f(A,C)),f(D,f(C,C))) -> f(A,C)
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [290] f(f(f(B,f(B,B)),f(A,C)),f(f(A,A),D)) -> f(A,C)
% Current number of equations to process: 3208
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [291] f(f(B,f(A,f(C,f(C,f(D,f(D,D)))))),A) -> f(A,A)
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [292] f(B,f(f(B,A),f(C,f(C,f(D,f(D,D)))))) -> f(B,A)
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [293] f(B,f(f(A,B),f(C,f(C,f(D,f(D,D)))))) -> f(A,B)
% Current number of equations to process: 3346
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [294] f(B,f(A,f(B,f(C,f(C,f(D,f(D,D))))))) -> f(B,B)
% Current number of equations to process: 3412
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [295] f(f(f(B,A),f(C,f(C,f(D,f(D,D))))),A) -> f(B,A)
% Current number of equations to process: 3487
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [296] f(f(f(B,A),f(C,f(C,f(D,f(D,D))))),B) -> f(B,A)
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [297] f(f(f(B,A),f(C,f(C,C))),f(D,f(A,A))) -> f(B,A)
% Current number of equations to process: 3575
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [298] f(f(f(B,A),f(C,f(C,C))),f(f(B,B),D)) -> f(B,A)
% Current number of equations to process: 3646
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [299] f(f(B,f(A,A)),f(f(A,C),f(D,f(D,D)))) -> f(A,C)
% Current number of equations to process: 3646
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [300] f(f(B,f(A,A)),f(f(C,f(C,C)),f(A,D))) -> f(A,D)
% Current number of equations to process: 3719
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [301] f(f(f(B,f(B,B)),f(A,C)),f(D,f(A,A))) -> f(A,C)
% Current number of equations to process: 3808
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [302] f(f(B,A),f(B,A)) <-> f(f(B,A),f(C,f(C,f(D,f(D,D)))))
% Current number of equations to process: 3883
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [303] f(f(B,A),f(C,f(C,f(D,f(D,D))))) <-> f(f(B,A),f(B,A))
% Current number of equations to process: 3883
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [304] f(f(f(B,A),f(C,f(C,C))),f(D,f(B,B))) -> f(B,A)
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [305] f(f(f(f(B,B),A),f(C,B)),f(f(B,B),A)) -> f(C,B)
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [306] f(f(f(B,f(A,A)),f(C,A)),f(B,f(A,A))) -> f(C,A)
% Current number of equations to process: 4221
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [307] f(f(f(f(B,B),A),f(B,C)),f(f(B,B),A)) -> f(B,C)
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [308] f(f(f(B,f(A,A)),f(A,C)),f(B,f(A,A))) -> f(A,C)
% Current number of equations to process: 4375
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [309] f(f(f(B,B),A),f(f(C,B),f(f(B,B),A))) -> f(C,B)
% Current number of equations to process: 4469
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [310] f(f(B,f(A,A)),f(f(C,A),f(B,f(A,A)))) -> f(C,A)
% Current number of equations to process: 4529
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [311] f(f(f(B,B),A),f(f(B,C),f(f(B,B),A))) -> f(B,C)
% Current number of equations to process: 4631
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [312] f(f(B,f(A,A)),f(f(A,C),f(B,f(A,A)))) -> f(A,C)
% Current number of equations to process: 4681
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [313] f(f(f(f(B,f(B,B)),f(f(A,A),B)),C),A) -> f(A,A)
% Current number of equations to process: 4778
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [314] f(f(B,f(f(A,f(A,A)),f(f(C,C),A))),C) -> f(C,C)
% Current number of equations to process: 4805
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [315] f(f(f(f(B,f(A,A)),f(B,f(B,B))),C),A) -> f(A,A)
% Current number of equations to process: 4830
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [316] f(f(B,f(f(A,f(C,C)),f(A,f(A,A)))),C) -> f(C,C)
% Current number of equations to process: 4855
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [317] f(B,f(f(f(A,f(B,B)),f(A,f(A,A))),C)) -> f(B,B)
% Current number of equations to process: 4875
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [318] f(f(f(f(B,f(B,B)),f(B,f(A,A))),C),A) -> f(A,A)
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [319] f(f(B,f(f(A,f(A,A)),f(A,f(C,C)))),C) -> f(C,C)
% Current number of equations to process: 4925
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [320] f(B,f(f(f(A,f(A,A)),f(A,f(B,B))),C)) -> f(B,B)
% Current number of equations to process: 4954
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [321] f(B,f(f(f(A,f(A,A)),f(f(B,B),A)),C)) -> f(B,B)
% Current number of equations to process: 4983
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [322] f(B,f(A,f(f(C,f(B,B)),f(C,f(C,C))))) -> f(B,B)
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [323] f(B,f(A,f(f(C,f(C,C)),f(C,f(B,B))))) -> f(B,B)
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [324] f(B,f(A,f(f(C,f(C,C)),f(f(B,B),C)))) -> f(B,B)
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [325] f(f(f(f(B,f(B,B)),f(A,f(C,C))),D),C) -> f(C,C)
% Rule [318] f(f(f(f(B,f(B,B)),f(B,f(A,A))),C),A) -> f(A,A) collapsed.
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [326] f(f(f(f(B,f(B,B)),f(f(A,A),C)),D),A) -> f(A,A)
% Rule [279] f(f(f(f(c,f(c,c)),f(f(B,B),A)),C),B) -> f(B,B) collapsed.
% Rule [313] f(f(f(f(B,f(B,B)),f(f(A,A),B)),C),A) -> f(A,A) collapsed.
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [327] f(f(B,f(f(A,f(A,A)),f(C,f(D,D)))),D) -> f(D,D)
% Rule [319] f(f(B,f(f(A,f(A,A)),f(A,f(C,C)))),C) -> f(C,C) collapsed.
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [328] f(f(B,f(f(A,f(A,A)),f(f(C,C),D))),C) -> f(C,C)
% Rule [276] f(f(B,f(f(c,f(c,c)),f(f(A,A),C))),A) -> f(A,A) collapsed.
% Rule [314] f(f(B,f(f(A,f(A,A)),f(f(C,C),A))),C) -> f(C,C) collapsed.
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [329] f(B,f(f(f(A,f(A,A)),f(C,f(B,B))),D)) -> f(B,B)
% Rule [320] f(B,f(f(f(A,f(A,A)),f(A,f(B,B))),C)) -> f(B,B) collapsed.
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [330] f(B,f(f(f(A,f(A,A)),f(f(B,B),C)),D)) -> f(B,B)
% Rule [282] f(B,f(f(f(c,f(c,c)),f(f(B,B),A)),C)) -> f(B,B) collapsed.
% Rule [321] f(B,f(f(f(A,f(A,A)),f(f(B,B),A)),C)) -> f(B,B) collapsed.
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [331] f(B,f(A,f(f(C,f(C,C)),f(f(B,B),D)))) -> f(B,B)
% Rule [324] f(B,f(A,f(f(C,f(C,C)),f(f(B,B),C)))) -> f(B,B) collapsed.
% Current number of equations to process: 725
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced : [332] f(B,f(f(f(A,f(B,B)),f(C,f(C,C))),D)) -> f(B,B)
% Rule [317] f(B,f(f(f(A,f(B,B)),f(A,f(A,A))),C)) -> f(B,B) collapsed.
% Current number of equations to process: 747
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced : [333] f(f(f(f(B,f(A,A)),f(C,f(C,C))),D),A) -> f(A,A)
% Rule [315] f(f(f(f(B,f(A,A)),f(B,f(B,B))),C),A) -> f(A,A) collapsed.
% Current number of equations to process: 762
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced : [334] f(f(B,f(f(A,f(C,C)),f(D,f(D,D)))),C) -> f(C,C)
% Rule [316] f(f(B,f(f(A,f(C,C)),f(A,f(A,A)))),C) -> f(C,C) collapsed.
% Current number of equations to process: 777
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced : [335] f(B,f(A,f(f(C,f(B,B)),f(D,f(D,D))))) -> f(B,B)
% Rule [322] f(B,f(A,f(f(C,f(B,B)),f(C,f(C,C))))) -> f(B,B) collapsed.
% Current number of equations to process: 787
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [336] f(C,f(B,f(B,f(A,f(A,A))))) <-> f(f(B,f(B,f(A,f(A,A)))),C)
% Current number of equations to process: 783
% Current number of ordered equations: 2
% Current number of rules: 226
% New rule produced :
% [337] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,f(B,f(B,f(A,f(A,A)))))
% Current number of equations to process: 783
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [338] f(C,f(D,f(D,f(V_4,f(V_4,V_4))))) <-> f(f(B,f(B,f(A,f(A,A)))),C)
% Rule [336] f(C,f(B,f(B,f(A,f(A,A))))) <-> f(f(B,f(B,f(A,f(A,A)))),C)
% collapsed.
% Current number of equations to process: 812
% Current number of ordered equations: 2
% Current number of rules: 227
% New rule produced :
% [339] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,f(D,f(D,f(V_4,f(V_4,V_4)))))
% Rule [337] f(f(B,f(B,f(A,f(A,A)))),C) <-> f(C,f(B,f(B,f(A,f(A,A)))))
% collapsed.
% Current number of equations to process: 812
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced : [340] f(B,f(A,f(f(C,f(C,C)),f(D,f(B,B))))) -> f(B,B)
% Rule [323] f(B,f(A,f(f(C,f(C,C)),f(C,f(B,B))))) -> f(B,B) collapsed.
% Current number of equations to process: 924
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [341] f(f(B,f(A,f(A,A))),f(C,f(C,f(D,f(D,D))))) -> B
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [342] f(f(B,f(B,B)),f(f(B,f(B,f(A,f(A,A)))),C)) -> C
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [343] f(f(B,f(B,f(A,f(A,A)))),f(f(C,f(C,C)),D)) -> D
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [344] f(f(B,f(B,f(A,f(A,A)))),f(C,f(D,f(D,D)))) -> C
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [345] f(f(c,f(c,c)),f(f(B,f(B,f(A,f(A,A)))),C)) -> C
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [346] f(B,f(A,f(A,f(C,f(C,f(D,f(D,D))))))) <-> f(f(C,f(C,C)),B)
% Current number of equations to process: 691
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [347] f(f(C,f(C,C)),B) <-> f(B,f(A,f(A,f(C,f(C,f(D,f(D,D)))))))
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [348] f(B,B) <-> f(B,f(A,f(A,f(C,f(C,f(D,f(D,D)))))))
% Current number of equations to process: 695
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced : [349] f(B,f(A,f(A,f(C,f(C,f(D,f(D,D))))))) <-> f(B,B)
% Current number of equations to process: 695
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [350] f(A,f(A,f(C,f(C,f(D,f(D,D)))))) <-> f(B,f(B,B))
% Current number of equations to process: 702
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced : [351] f(B,f(B,B)) <-> f(A,f(A,f(C,f(C,f(D,f(D,D))))))
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [352] f(f(B,B),f(A,f(A,f(C,f(C,f(D,f(D,D))))))) -> B
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced : [353] f(B,B) <-> f(B,f(f(A,f(C,f(C,f(D,f(D,D))))),A))
% Current number of equations to process: 1480
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced : [354] f(B,f(f(A,f(C,f(C,f(D,f(D,D))))),A)) <-> f(B,B)
% Current number of equations to process: 1480
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [355] f(B,B) <-> f(B,f(A,f(f(C,f(C,f(D,f(D,D)))),A)))
% Current number of equations to process: 1479
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced : [356] f(B,f(A,f(f(C,f(C,f(D,f(D,D)))),A))) <-> f(B,B)
% Current number of equations to process: 1479
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [357] f(f(B,f(B,B)),f(A,f(C,f(C,f(D,f(D,D)))))) -> A
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [358] f(B,f(B,f(A,f(A,A)))) <-> f(C,f(C,f(D,f(D,f(V_4,f(V_4,V_4))))))
% Current number of equations to process: 1751
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [359] f(C,f(C,f(D,f(D,f(V_4,f(V_4,V_4)))))) <-> f(B,f(B,f(A,f(A,A))))
% Current number of equations to process: 1751
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [360] f(f(B,B),f(f(A,f(C,f(C,f(D,f(D,D))))),A)) -> B
% Current number of equations to process: 1747
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [361] f(f(B,B),f(A,f(f(C,f(C,f(D,f(D,D)))),A))) -> B
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [362] f(B,f(B,B)) <-> f(f(A,f(C,f(C,f(D,f(D,D))))),A)
% Current number of equations to process: 2174
% Current number of ordered equations: 1
% Current number of rules: 249
% Rule [362] f(B,f(B,B)) <-> f(f(A,f(C,f(C,f(D,f(D,D))))),A) is composed into 
% [362] f(B,f(B,B)) <-> f(c,f(c,c))
% Rule [353] f(B,B) <-> f(B,f(f(A,f(C,f(C,f(D,f(D,D))))),A)) is composed into 
% [353] f(B,B) <-> f(B,f(c,f(c,c)))
% New rule produced : [363] f(f(A,f(C,f(C,f(D,f(D,D))))),A) <-> f(B,f(B,B))
% Rule [354] f(B,f(f(A,f(C,f(C,f(D,f(D,D))))),A)) <-> f(B,B) collapsed.
% Rule [360] f(f(B,B),f(f(A,f(C,f(C,f(D,f(D,D))))),A)) -> B collapsed.
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 248
% Rule [355] f(B,B) <-> f(B,f(A,f(f(C,f(C,f(D,f(D,D)))),A))) is composed into 
% [355] f(B,B) <-> f(B,f(c,f(c,c)))
% New rule produced : [364] f(A,f(f(C,f(C,f(D,f(D,D)))),A)) <-> f(B,f(B,B))
% Rule [356] f(B,f(A,f(f(C,f(C,f(D,f(D,D)))),A))) <-> f(B,B) collapsed.
% Rule [361] f(f(B,B),f(A,f(f(C,f(C,f(D,f(D,D)))),A))) -> B collapsed.
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [365] f(B,f(A,f(A,f(C,f(C,f(D,f(D,D))))))) <-> f(f(c,f(c,c)),B)
% Current number of equations to process: 2782
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [366] f(f(c,f(c,c)),B) <-> f(B,f(A,f(A,f(C,f(C,f(D,f(D,D)))))))
% Current number of equations to process: 2782
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [367] f(B,f(A,f(A,f(C,f(C,f(D,f(D,D))))))) <-> f(f(V_4,f(V_4,V_4)),B)
% Rule [346] f(B,f(A,f(A,f(C,f(C,f(D,f(D,D))))))) <-> f(f(C,f(C,C)),B)
% collapsed.
% Rule [365] f(B,f(A,f(A,f(C,f(C,f(D,f(D,D))))))) <-> f(f(c,f(c,c)),B)
% collapsed.
% Current number of equations to process: 3028
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [368] f(f(B,f(A,f(A,A))),f(f(f(C,f(C,C)),f(B,C)),D)) -> B
% Current number of equations to process: 3163
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced : [369] f(f(f(B,f(A,A)),f(C,f(C,C))),f(A,D)) -> f(B,f(A,A))
% Current number of equations to process: 3199
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [370] f(f(f(B,f(B,B)),f(f(B,B),A)),f(B,C)) -> f(f(B,B),A)
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [371] f(f(B,f(A,f(A,A))),f(f(f(B,C),f(B,C)),D)) -> B
% Current number of equations to process: 3197
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced : [372] f(f(B,f(A,f(A,A))),f(C,f(f(B,D),f(B,D)))) -> B
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced : [373] f(f(f(B,f(A,A)),f(C,f(C,C))),f(D,A)) -> f(B,f(A,A))
% Current number of equations to process: 3284
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [374] f(f(f(B,f(A,A)),f(B,f(A,A))),f(A,C)) -> f(B,f(A,A))
% Current number of equations to process: 3283
% Current number of ordered equations: 0
% Current number of rules: 255
% New rulCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------