%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT394-1 : TPTP v6.0.0. Released v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n131.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 00:27:02 EDT 2014

% Result   : Unsatisfiable 21.00s
% Output   : Refutation 21.00s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT394-1 : TPTP v6.0.0. Released v5.4.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n131.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 : Fri Jun  6 18:50:58 CDT 2014
% % CPUTime  : 21.00 
% Processing problem /tmp/CiME_52819_n131.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " x1,x0 : constant;  neg : 1;  and : 2;  or : 2;  f : 2;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) = B;
% or(A,B) = f(f(A,A),f(B,B));
% and(A,B) = f(f(A,B),f(A,B));
% neg(A) = f(A,A);
% ";
% 
% let s1 = status F "
% x1 lr_lex;
% x0 lr_lex;
% neg lr_lex;
% and lr_lex;
% or lr_lex;
% f lr_lex;
% ";
% 
% let p1 = precedence F "
% or > and > neg > f > x0 > x1";
% 
% let s2 = status F "
% x1 mul;
% x0 mul;
% neg mul;
% and mul;
% or mul;
% f mul;
% ";
% 
% let p2 = precedence F "
% or > and > neg > f > x0 = x1";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " f(x0,f(x0,x0)) = f(x1,f(x1,x1));"
% ;
% (*
% 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(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))
% = B,
% or(A,B) = f(f(A,A),f(B,B)),
% and(A,B) = f(f(A,B),f(A,B)),
% neg(A) = f(A,A) } (4 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(x0,f(x0,x0)) = f(x1,f(x1,x1)) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] neg(A) -> f(A,A)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced : [2] and(A,B) -> f(f(A,B),f(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 2
% New rule produced : [3] or(A,B) -> f(f(A,A),f(B,B))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4] f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5] f(A,f(f(A,B),f(f(f(A,B),f(f(f(C,A),f(C,A)),f(C,A))),D))) -> f(A,B)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] f(A,f(f(A,B),f(f(f(C,A),f(C,A)),f(C,A)))) -> f(A,B)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] f(f(A,B),f(f(f(A,B),f(B,C)),B)) -> f(f(A,B),f(B,C))
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] f(f(f(f(A,B),f(B,C)),B),f(B,B)) -> B
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] f(f(A,A),f(A,A)) -> A
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] f(f(A,B),f(A,f(f(A,f(f(A,A),A)),A))) -> A
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] f(A,f(f(A,B),f(A,f(A,A)))) -> f(A,B)
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] f(f(f(A,f(f(A,A),B)),f(A,A)),A) -> f(A,A)
% Current number of equations to process: 57
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced : [13] f(f(f(f(A,f(B,B)),B),f(B,B)),B) -> f(B,B)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] f(A,f(f(A,f(f(A,A),B)),f(A,A))) -> f(A,f(f(A,A),B))
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] f(f(A,A),f(f(f(A,A),B),f(f(A,A),A))) -> f(f(A,A),B)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] f(f(A,B),f(B,f(f(B,f(f(A,A),A)),C))) -> B
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] f(A,f(f(A,B),f(f(f(A,B),f(A,f(A,A))),C))) -> f(A,B)
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] f(f(f(f(A,f(B,B)),f(f(B,B),C)),f(B,B)),B) -> f(B,B)
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] f(A,f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] f(A,f(f(A,f(f(A,A),A)),A)) -> f(A,A)
% Rule [10] f(f(A,B),f(A,f(f(A,f(f(A,A),A)),A))) -> A collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [21] f(f(A,B),f(A,A)) -> A
% Rule [9] f(f(A,A),f(A,A)) -> A collapsed.
% Rule [12] f(f(f(A,f(f(A,A),B)),f(A,A)),A) -> f(A,A) collapsed.
% Rule [14] f(A,f(f(A,f(f(A,A),B)),f(A,A))) -> f(A,f(f(A,A),B)) collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [22] f(A,f(f(A,A),B)) -> f(A,A)
% Rule [20] f(A,f(f(A,f(f(A,A),A)),A)) -> f(A,A) collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [23] f(f(A,f(B,B)),f(f(f(A,f(B,B)),B),f(B,B))) -> f(f(A,f(B,B)),B)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [24] f(f(A,f(B,C)),f(f(f(A,f(B,C)),B),f(B,C))) -> f(f(A,f(B,C)),B)
% Rule [23] f(f(A,f(B,B)),f(f(f(A,f(B,B)),B),f(B,B))) -> f(f(A,f(B,B)),B)
% collapsed.
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [25] f(f(f(f(A,f(B,C)),B),f(B,C)),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [26] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),B))) -> A
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [27] f(f(A,B),f(B,f(f(A,A),A))) -> B
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [28] f(f(A,B),f(B,B)) -> B
% Rule [8] f(f(f(f(A,B),f(B,C)),B),f(B,B)) -> B collapsed.
% Rule [13] f(f(f(f(A,f(B,B)),B),f(B,B)),B) -> f(B,B) collapsed.
% Rule [25] f(f(f(f(A,f(B,C)),B),f(B,C)),f(f(B,C),f(B,C))) -> f(B,C) collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [29] f(f(A,B),f(B,f(f(A,B),f(f(A,B),f(A,B))))) -> B
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [30] f(f(A,f(B,C)),f(f(f(A,f(B,C)),C),f(B,C))) -> f(f(A,f(B,C)),C)
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [31] f(f(f(f(A,B),f(B,C)),D),f(B,B)) -> B
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [32] f(f(f(A,A),B),A) -> f(A,A)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [33] f(A,f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [34] f(f(A,A),f(A,B)) -> A
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [35] f(f(A,B),f(A,f(f(A,B),f(f(A,B),f(A,B))))) -> A
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [36] f(f(f(A,A),B),f(B,f(f(B,f(A,f(A,A))),C))) -> B
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [37] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),f(f(A,A),D)))) -> A
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [38] f(f(f(A,B),f(B,C)),f(f(A,B),f(B,C))) -> f(f(f(A,B),f(B,C)),B)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [39] f(f(f(f(A,B),f(B,f(B,f(B,B)))),C),f(B,f(f(A,A),A))) -> B
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [40] f(f(A,B),f(B,f(f(B,f(f(A,B),f(f(A,B),f(A,B)))),C))) -> B
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [41] f(f(A,B),f(A,f(f(A,f(f(A,B),f(f(A,B),f(A,B)))),C))) -> A
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [42] f(f(A,B),f(f(f(A,B),f(C,B)),B)) -> f(f(A,B),f(C,B))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [43] f(f(f(A,B),f(A,B)),A) -> f(A,B)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [44] f(f(A,f(A,f(A,A))),f(A,f(f(B,B),B))) -> A
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [45] f(f(A,f(A,f(f(B,B),B))),f(A,f(f(B,B),B))) -> A
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [46] f(f(A,B),f(A,f(f(A,f(C,f(C,C))),B))) -> A
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [47] f(f(f(A,A),B),f(B,f(A,f(A,A)))) -> B
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [48] f(f(A,f(B,B)),B) -> f(B,B)
% Rule [18] f(f(f(f(A,f(B,B)),f(f(B,B),C)),f(B,B)),B) -> f(B,B) collapsed.
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [49] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),A))) -> A
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [50] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),f(f(C,C),C)))) -> A
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [51] f(f(f(A,A),f(f(A,A),A)),f(f(A,A),f(f(B,B),B))) -> f(A,A)
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [52] f(A,f(f(A,B),f(f(f(A,B),f(f(C,C),C)),f(A,A)))) -> f(A,B)
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [53] f(A,f(f(B,A),f(f(f(B,A),f(f(C,C),C)),f(A,A)))) -> f(B,A)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [54] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),f(f(A,B),f(A,B))))) -> A
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [55] f(f(A,f(f(f(B,A),f(B,A)),f(B,A))),f(A,f(f(C,C),C))) -> A
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [56] f(f(A,f(f(f(B,B),B),f(f(A,A),A))),f(A,f(f(B,B),B))) -> A
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [57] f(f(A,f(f(f(B,B),B),f(f(B,B),B))),f(A,f(f(B,B),B))) -> A
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [58] f(f(A,f(B,f(A,A))),f(A,f(B,f(A,A)))) -> A
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [59] f(f(f(f(A,f(B,B)),f(f(B,B),C)),D),B) -> f(B,B)
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [60] f(f(f(A,B),f(A,B)),B) -> f(A,B)
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [61] f(A,f(B,f(A,A))) -> f(A,A)
% Rule [39] f(f(f(f(A,B),f(B,f(B,f(B,B)))),C),f(B,f(f(A,A),A))) -> B collapsed.
% Rule [44] f(f(A,f(A,f(A,A))),f(A,f(f(B,B),B))) -> A collapsed.
% Rule [58] f(f(A,f(B,f(A,A))),f(A,f(B,f(A,A)))) -> A collapsed.
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [62] f(A,f(f(B,A),f(A,f(A,A)))) -> f(B,A)
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [63] f(f(f(A,A),f(B,A)),f(f(A,A),f(B,A))) -> f(A,A)
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [64] f(f(B,C),f(B,f(f(A,A),A))) -> B
% Rule [45] f(f(A,f(A,f(f(B,B),B))),f(A,f(f(B,B),B))) -> A collapsed.
% Rule [51] f(f(f(A,A),f(f(A,A),A)),f(f(A,A),f(f(B,B),B))) -> f(A,A) collapsed.
% Rule [55] f(f(A,f(f(f(B,A),f(B,A)),f(B,A))),f(A,f(f(C,C),C))) -> A collapsed.
% Rule [56] f(f(A,f(f(f(B,B),B),f(f(A,A),A))),f(A,f(f(B,B),B))) -> A collapsed.
% Rule [57] f(f(A,f(f(f(B,B),B),f(f(B,B),B))),f(A,f(f(B,B),B))) -> A collapsed.
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [65] f(f(A,f(f(B,C),f(C,D))),f(C,C)) -> C
% Current number of equations to process: 294
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [66] f(f(f(f(A,B),f(C,B)),D),f(B,B)) -> B
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [67] f(f(A,B),f(B,f(C,f(B,f(f(A,A),A))))) -> B
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [68] f(f(A,A),f(B,A)) -> A
% Rule [63] f(f(f(A,A),f(B,A)),f(f(A,A),f(B,A))) -> f(A,A) collapsed.
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [69] f(A,f(f(A,f(f(A,B),C)),f(A,B))) -> f(A,f(f(A,B),C))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [70] f(f(A,A),f(f(B,f(A,A)),f(f(A,A),A))) -> f(B,f(A,A))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [71] f(f(A,B),f(f(f(A,B),C),f(f(A,A),A))) -> f(f(A,B),C)
% Rule [15] f(f(A,A),f(f(f(A,A),B),f(f(A,A),A))) -> f(f(A,A),B) collapsed.
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [72] f(f(f(f(A,f(B,C)),C),D),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [73] f(f(f(f(A,f(B,C)),B),D),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [74] f(A,f(f(B,A),f(f(f(C,A),f(C,A)),f(C,A)))) -> f(B,A)
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [75] f(A,f(f(A,B),f(C,f(f(A,B),f(A,f(A,A)))))) -> f(A,B)
% Current number of equations to process: 291
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced : [76] f(A,f(f(B,A),f(f(f(B,A),f(A,f(A,A))),C))) -> f(B,A)
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [77] f(f(f(A,f(f(A,B),C)),D),f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [78] f(f(f(A,A),B),f(B,f(C,f(B,f(A,f(A,A)))))) -> B
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [79] f(f(A,f(f(A,f(f(B,B),B)),f(f(A,A),C))),f(A,D)) -> A
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [80] f(A,f(f(A,f(f(A,f(f(B,B),B)),f(f(A,A),C))),D)) -> f(A,A)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [81] f(f(A,f(f(B,C),f(C,D))),f(C,f(f(C,f(f(B,B),B)),D))) -> C
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [82] f(f(A,B),f(B,f(f(B,f(f(C,C),C)),f(f(A,B),f(A,B))))) -> B
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [83] f(A,f(f(f(f(B,A),f(A,C)),D),f(A,f(A,A)))) -> f(f(f(B,A),f(A,C)),D)
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [84] f(A,f(f(A,f(f(B,B),B)),f(f(A,A),C))) -> f(A,A)
% Rule [37] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),f(f(A,A),D)))) -> A collapsed.
% Rule [79] f(f(A,f(f(A,f(f(B,B),B)),f(f(A,A),C))),f(A,D)) -> A collapsed.
% Rule [80] f(A,f(f(A,f(f(A,f(f(B,B),B)),f(f(A,A),C))),D)) -> f(A,A) collapsed.
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [85] f(f(A,B),f(f(f(C,A),f(A,B)),A)) -> f(f(C,A),f(A,B))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [86] f(f(f(A,B),f(C,B)),f(f(A,B),f(C,B))) -> f(f(f(A,B),f(C,B)),B)
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [87] f(f(f(A,f(B,C)),C),f(f(A,f(B,C)),C)) -> f(f(f(A,f(B,C)),C),f(B,C))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [88] f(f(f(A,f(B,C)),B),f(f(A,f(B,C)),B)) -> f(f(f(A,f(B,C)),B),f(B,C))
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [89] f(f(A,f(f(A,B),C)),f(A,f(f(A,B),C))) -> f(f(A,f(f(A,B),C)),f(A,B))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [90] f(f(A,f(f(B,C),f(C,D))),f(f(f(B,C),f(C,D)),C)) -> f(f(B,C),f(C,D))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [91] f(f(f(A,A),B),f(f(f(f(A,A),B),C),f(A,f(A,A)))) -> f(f(f(A,A),B),C)
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [92] f(f(f(f(A,B),f(B,C)),D),f(f(f(A,B),f(B,C)),B)) -> f(f(A,B),f(B,C))
% Current number of equations to process: 356
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced : [93] f(f(f(f(A,B),f(B,C)),B),f(B,C)) -> f(f(A,B),f(B,C))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [94] f(f(f(f(A,B),f(B,C)),B),f(f(f(A,B),f(B,C)),D)) -> f(f(A,B),f(B,C))
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [95] f(f(A,B),f(B,f(C,f(B,f(f(A,B),f(f(A,B),f(A,B))))))) -> B
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [96] f(A,f(B,f(A,f(f(C,C),C)))) -> f(A,A)
% Rule [67] f(f(A,B),f(B,f(C,f(B,f(f(A,A),A))))) -> B collapsed.
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [97] f(f(f(f(A,B),f(C,B)),B),f(C,B)) -> f(f(A,B),f(C,B))
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [98] f(A,f(f(A,f(B,f(A,C))),f(A,C))) -> f(A,f(B,f(A,C)))
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [99] f(f(A,A),f(f(f(B,A),f(A,C)),D)) -> A
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [100] f(f(A,B),f(f(f(A,B),f(A,C)),A)) -> f(f(A,B),f(A,C))
% Current number of equations to process: 398
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced : [101] f(f(f(f(A,B),f(B,C)),B),f(A,B)) -> f(f(A,B),f(B,C))
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [102] f(f(f(f(A,B),f(A,C)),D),f(A,A)) -> A
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [103] f(f(A,B),f(f(f(A,B),f(C,A)),A)) -> f(f(A,B),f(C,A))
% Current number of equations to process: 409
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced : [104] f(f(f(f(A,B),f(C,B)),B),f(A,B)) -> f(f(A,B),f(C,B))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [105] f(f(f(A,B),B),f(f(A,B),f(B,f(B,B)))) -> f(A,B)
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [106] f(A,f(f(A,B),f(f(f(A,C),f(A,C)),f(A,C)))) -> f(A,B)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [107] f(f(f(A,B),f(A,C)),f(f(A,B),f(A,C))) -> f(f(f(A,B),f(A,C)),A)
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [108] f(f(A,f(A,f(B,f(B,B)))),f(A,f(B,f(B,B)))) -> A
% Current number of equations to process: 437
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [109] f(f(A,f(f(A,f(f(B,B),B)),A)),f(A,C)) -> A
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [110] f(A,f(f(A,f(f(B,B),B)),A)) -> f(A,A)
% Rule [49] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),A))) -> A collapsed.
% Rule [109] f(f(A,f(f(A,f(f(B,B),B)),A)),f(A,C)) -> A collapsed.
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [111] f(f(A,f(f(A,f(f(B,B),B)),f(f(B,B),B))),f(A,C)) -> A
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [112] f(A,f(f(A,f(f(B,B),B)),f(f(B,B),B))) -> f(A,A)
% Rule [50] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),f(f(C,C),C)))) -> A collapsed.
% Rule [111] f(f(A,f(f(A,f(f(B,B),B)),f(f(B,B),B))),f(A,C)) -> A collapsed.
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [113] f(A,f(f(A,f(A,A)),f(f(A,A),A))) -> f(A,f(A,A))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [114] f(f(f(f(A,f(B,C)),B),f(B,C)),f(A,f(B,C))) -> f(f(A,f(B,C)),B)
% Current number of equations to process: 484
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [115] f(f(f(A,B),C),f(f(f(f(A,B),C),A),f(A,B))) -> f(f(f(A,B),C),A)
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [116] f(f(f(f(A,f(B,C)),C),f(B,C)),f(A,f(B,C))) -> f(f(A,f(B,C)),C)
% Current number of equations to process: 482
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [117] f(f(f(A,B),C),f(f(f(f(A,B),C),B),f(A,B))) -> f(f(f(A,B),C),B)
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [118] f(A,f(f(A,B),f(f(f(A,B),f(C,f(C,C))),f(A,A)))) -> f(A,B)
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [119] f(A,f(f(B,A),f(f(f(B,A),f(C,f(C,C))),f(A,A)))) -> f(B,A)
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [120] f(f(A,B),f(A,f(C,f(A,f(f(A,B),f(f(A,B),f(A,B))))))) -> A
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [121] f(f(A,f(f(f(B,A),f(B,A)),f(B,A))),f(A,f(C,f(C,C)))) -> A
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [122] f(f(A,B),f(A,f(f(A,f(C,f(C,C))),f(f(A,B),f(A,B))))) -> A
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [123] f(f(A,f(f(B,f(B,B)),f(f(A,A),A))),f(A,f(B,f(B,B)))) -> A
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [124] f(f(A,f(f(B,f(B,B)),f(B,f(B,B)))),f(A,f(B,f(B,B)))) -> A
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [125] f(f(A,B),f(B,f(f(B,f(C,f(C,C))),f(f(A,B),f(A,B))))) -> B
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [126] f(f(A,B),f(f(f(A,B),f(f(C,C),C)),f(A,A))) -> f(f(A,B),f(A,B))
% Rule [52] f(A,f(f(A,B),f(f(f(A,B),f(f(C,C),C)),f(A,A)))) -> f(A,B) collapsed.
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [127] f(f(A,B),f(f(f(A,B),f(f(C,C),C)),f(B,B))) -> f(f(A,B),f(A,B))
% Rule [53] f(A,f(f(B,A),f(f(f(B,A),f(f(C,C),C)),f(A,A)))) -> f(B,A) collapsed.
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [128] f(f(f(A,A),A),f(f(f(f(A,A),A),B),f(f(A,A),A))) -> f(f(f(A,A),A),B)
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [129] f(f(f(A,A),A),f(f(B,f(f(A,A),A)),f(f(A,A),A))) -> f(B,f(f(A,A),A))
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [130] f(A,f(f(A,f(f(B,B),B)),f(f(A,C),f(A,C)))) -> f(A,A)
% Rule [54] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),f(f(A,B),f(A,B))))) -> A collapsed.
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [131] f(f(A,f(f(B,f(C,C)),f(f(C,C),D))),C) -> f(C,C)
% Current number of equations to process: 527
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced : [132] f(f(f(f(A,f(B,B)),f(C,f(B,B))),D),B) -> f(B,B)
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [133] f(A,f(f(f(B,f(A,A)),f(f(A,A),C)),D)) -> f(A,A)
% Current number of equations to process: 538
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced : [134] f(f(f(f(f(A,A),B),f(f(A,A),C)),D),A) -> f(A,A)
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [135] f(f(f(f(A,f(B,C)),B),f(B,C)),B) -> f(f(A,f(B,C)),B)
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [136] f(f(f(f(A,f(B,C)),C),f(B,C)),C) -> f(f(A,f(B,C)),C)
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [137] f(f(A,A),f(f(f(A,A),B),f(B,f(A,A)))) -> f(f(A,A),B)
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [138] f(f(A,f(f(B,B),B)),f(A,C)) -> A
% Rule [121] f(f(A,f(f(f(B,A),f(B,A)),f(B,A))),f(A,f(C,f(C,C)))) -> A
% collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [139] f(A,f(f(A,f(f(B,B),B)),C)) -> f(A,A)
% Rule [4] f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) -> B collapsed.
% Rule [5] f(A,f(f(A,B),f(f(f(A,B),f(f(f(C,A),f(C,A)),f(C,A))),D))) -> f(A,B)
% collapsed.
% Rule [16] f(f(A,B),f(B,f(f(B,f(f(A,A),A)),C))) -> B collapsed.
% Rule [26] f(f(A,B),f(A,f(f(A,f(f(C,C),C)),B))) -> A collapsed.
% Rule [81] f(f(A,f(f(B,C),f(C,D))),f(C,f(f(C,f(f(B,B),B)),D))) -> C collapsed.
% Rule [82] f(f(A,B),f(B,f(f(B,f(f(C,C),C)),f(f(A,B),f(A,B))))) -> B collapsed.
% Rule [84] f(A,f(f(A,f(f(B,B),B)),f(f(A,A),C))) -> f(A,A) collapsed.
% Rule [110] f(A,f(f(A,f(f(B,B),B)),A)) -> f(A,A) collapsed.
% Rule [112] f(A,f(f(A,f(f(B,B),B)),f(f(B,B),B))) -> f(A,A) collapsed.
% Rule [126] f(f(A,B),f(f(f(A,B),f(f(C,C),C)),f(A,A))) -> f(f(A,B),f(A,B))
% collapsed.
% Rule [127] f(f(A,B),f(f(f(A,B),f(f(C,C),C)),f(B,B))) -> f(f(A,B),f(A,B))
% collapsed.
% Rule [130] f(A,f(f(A,f(f(B,B),B)),f(f(A,C),f(A,C)))) -> f(A,A) collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [140] f(A,A) <-> f(A,f(f(B,B),B))
% Current number of equations to process: 570
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced : [141] f(A,f(f(B,B),B)) <-> f(A,A)
% Rule [113] f(A,f(f(A,f(A,A)),f(f(A,A),A))) -> f(A,f(A,A)) collapsed.
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [142] f(f(A,B),f(A,f(C,f(C,C)))) -> A
% Rule [35] f(f(A,B),f(A,f(f(A,B),f(f(A,B),f(A,B))))) -> A collapsed.
% Rule [105] f(f(f(A,B),B),f(f(A,B),f(B,f(B,B)))) -> f(A,B) collapsed.
% Rule [108] f(f(A,f(A,f(B,f(B,B)))),f(A,f(B,f(B,B)))) -> A collapsed.
% Rule [123] f(f(A,f(f(B,f(B,B)),f(f(A,A),A))),f(A,f(B,f(B,B)))) -> A
% collapsed.
% Rule [124] f(f(A,f(f(B,f(B,B)),f(B,f(B,B)))),f(A,f(B,f(B,B)))) -> A
% collapsed.
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [143] f(A,f(f(A,B),f(f(C,C),C))) -> f(A,B)
% Rule [6] f(A,f(f(A,B),f(f(f(C,A),f(C,A)),f(C,A)))) -> f(A,B) collapsed.
% Rule [71] f(f(A,B),f(f(f(A,B),C),f(f(A,A),A))) -> f(f(A,B),C) collapsed.
% Rule [106] f(A,f(f(A,B),f(f(f(A,C),f(A,C)),f(A,C)))) -> f(A,B) collapsed.
% Rule [128] f(f(f(A,A),A),f(f(f(f(A,A),A),B),f(f(A,A),A))) -> f(f(f(A,A),A),B)
% collapsed.
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [144] f(A,f(f(B,A),f(f(C,C),C))) -> f(B,A)
% Rule [70] f(f(A,A),f(f(B,f(A,A)),f(f(A,A),A))) -> f(B,f(A,A)) collapsed.
% Rule [74] f(A,f(f(B,A),f(f(f(C,A),f(C,A)),f(C,A)))) -> f(B,A) collapsed.
% Rule [129] f(f(f(A,A),A),f(f(B,f(f(A,A),A)),f(f(A,A),A))) -> f(B,f(f(A,A),A))
% collapsed.
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [145] f(f(f(A,f(f(B,B),B)),C),A) -> f(A,f(f(B,B),B))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [146] f(f(A,f(B,f(f(C,C),C))),B) -> f(B,f(f(C,C),C))
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [147] f(B,f(f(A,A),A)) <-> f(f(f(A,A),A),B)
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced : [148] f(f(f(A,A),A),B) <-> f(B,f(f(A,A),A))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [149] f(f(A,B),f(B,f(f(C,C),C))) -> B
% Rule [27] f(f(A,B),f(B,f(f(A,A),A))) -> B collapsed.
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [150] f(f(f(A,f(B,B)),f(f(B,B),B)),f(B,B)) -> f(A,f(B,B))
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [151] f(f(A,B),f(B,f(f(A,f(f(C,C),C)),A))) -> B
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [152] f(f(A,f(f(B,B),B)),f(C,A)) -> A
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [153] f(f(A,B),f(A,f(C,f(C,f(f(D,D),D))))) -> A
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [154] f(f(A,A),f(B,f(f(C,A),f(A,D)))) -> A
% Current number of equations to process: 592
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced : [155] f(f(A,f(f(B,C),f(B,D))),f(B,B)) -> B
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [156] f(f(A,f(f(B,C),f(D,C))),f(C,C)) -> C
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [157] f(f(A,A),f(f(f(B,A),f(C,A)),D)) -> A
% Current number of equations to process: 632
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced : [158] f(f(f(f(A,B),f(C,A)),D),f(A,A)) -> A
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [159] f(A,f(f(A,B),f(B,A))) -> f(A,B)
% Rule [137] f(f(A,A),f(f(f(A,A),B),f(B,f(A,A)))) -> f(f(A,A),B) collapsed.
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [160] f(f(A,B),f(A,B)) <-> f(f(A,B),f(A,f(A,A)))
% Rule [89] f(f(A,f(f(A,B),C)),f(A,f(f(A,B),C))) -> f(f(A,f(f(A,B),C)),f(A,B))
% collapsed.
% Current number of equations to process: 673
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced : [161] f(f(A,B),f(A,f(A,A))) <-> f(f(A,B),f(A,B))
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [162] f(A,A) <-> f(A,f(B,f(B,B)))
% Rule [38] f(f(f(A,B),f(B,C)),f(f(A,B),f(B,C))) -> f(f(f(A,B),f(B,C)),B)
% collapsed.
% Rule [86] f(f(f(A,B),f(C,B)),f(f(A,B),f(C,B))) -> f(f(f(A,B),f(C,B)),B)
% collapsed.
% Rule [87] f(f(f(A,f(B,C)),C),f(f(A,f(B,C)),C)) -> f(f(f(A,f(B,C)),C),f(B,C))
% collapsed.
% Rule [88] f(f(f(A,f(B,C)),B),f(f(A,f(B,C)),B)) -> f(f(f(A,f(B,C)),B),f(B,C))
% collapsed.
% Rule [107] f(f(f(A,B),f(A,C)),f(f(A,B),f(A,C))) -> f(f(f(A,B),f(A,C)),A)
% collapsed.
% Rule [160] f(f(A,B),f(A,B)) <-> f(f(A,B),f(A,f(A,A))) collapsed.
% Current number of equations to process: 687
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced : [163] f(A,f(B,f(B,B))) <-> f(A,A)
% Rule [29] f(f(A,B),f(B,f(f(A,B),f(f(A,B),f(A,B))))) -> B collapsed.
% Rule [40] f(f(A,B),f(B,f(f(B,f(f(A,B),f(f(A,B),f(A,B)))),C))) -> B collapsed.
% Rule [41] f(f(A,B),f(A,f(f(A,f(f(A,B),f(f(A,B),f(A,B)))),C))) -> A collapsed.
% Rule [95] f(f(A,B),f(B,f(C,f(B,f(f(A,B),f(f(A,B),f(A,B))))))) -> B collapsed.
% Rule [120] f(f(A,B),f(A,f(C,f(A,f(f(A,B),f(f(A,B),f(A,B))))))) -> A
% collapsed.
% Rule [161] f(f(A,B),f(A,f(A,A))) <-> f(f(A,B),f(A,B)) collapsed.
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [164] f(A,f(f(A,f(f(B,A),C)),f(B,A))) -> f(A,f(f(B,A),C))
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [165] f(A,f(f(A,f(B,f(C,A))),f(C,A))) -> f(A,f(B,f(C,A)))
% Current number of equations to process: 686
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [166] f(f(f(A,B),f(B,C)),f(B,f(B,B))) -> f(f(f(A,B),f(B,C)),B)
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [167] f(f(f(A,B),f(C,B)),f(B,f(B,B))) -> f(f(f(A,B),f(C,B)),B)
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [168] f(f(f(A,B),f(A,C)),A) <-> f(f(f(A,B),f(A,C)),f(B,f(B,B)))
% Current number of equations to process: 683
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [169] f(f(f(A,B),f(A,C)),f(B,f(B,B))) <-> f(f(f(A,B),f(A,C)),A)
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [170] f(f(f(f(A,B),f(B,C)),D),f(B,f(f(V_4,V_4),V_4))) -> B
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [171] f(f(A,B),f(f(x1,f(x1,x1)),f(x1,f(x1,x1)))) <-> f(f(C,C),C)
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [172] f(f(x1,x1),x1) <-> f(f(C,C),C)
% Current number of equations to process: 681
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced : [173] f(f(C,C),C) <-> f(f(x1,x1),x1)
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [174] f(A,f(f(A,B),f(A,f(f(C,B),f(B,D))))) -> f(A,B)
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [175] f(f(A,A),f(f(f(A,A),B),f(x1,f(x1,x1)))) -> f(f(A,A),B)
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [176] f(f(f(A,f(B,C)),C),f(B,C)) <-> f(f(f(A,f(B,C)),C),f(B,f(B,B)))
% Current number of equations to process: 703
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [177] f(f(f(A,f(B,C)),C),f(B,f(B,B))) <-> f(f(f(A,f(B,C)),C),f(B,C))
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [178] f(f(f(A,f(B,C)),B),f(B,C)) <-> f(f(f(A,f(B,C)),B),f(B,f(B,B)))
% Current number of equations to process: 702
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [179] f(f(f(A,f(B,C)),B),f(B,f(B,B))) <-> f(f(f(A,f(B,C)),B),f(B,C))
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [180] f(f(A,f(f(A,B),C)),f(A,B)) <-> f(f(A,f(f(A,B),C)),f(A,f(A,A)))
% Current number of equations to process: 701
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [181] f(f(A,f(f(A,B),C)),f(A,f(A,A))) <-> f(f(A,f(f(A,B),C)),f(A,B))
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [182] f(f(A,f(f(B,f(C,D)),C)),f(f(C,D),f(C,D))) -> f(C,D)
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [183] f(f(A,f(f(B,f(C,D)),D)),f(f(C,D),f(C,D))) -> f(C,D)
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [184] f(f(A,f(B,f(f(B,C),D))),f(f(B,C),f(B,C))) -> f(B,C)
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [185] f(f(A,f(B,f(f(B,f(C,f(C,C))),D))),B) -> f(B,f(C,f(C,C)))
% Current number of equations to process: 695
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [186] f(f(f(A,f(B,f(A,C))),D),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [187] f(f(f(A,f(B,f(A,f(C,f(C,C))))),D),A) -> f(A,f(C,f(C,C)))
% Current number of equations to process: 691
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [188] f(f(f(f(A,f(B,f(C,f(C,C)))),B),D),B) -> f(B,f(C,f(C,C)))
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [189] f(f(f(A,f(f(B,A),C)),D),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [190] f(f(A,f(f(B,A),C)),f(B,A)) <-> f(f(A,f(f(B,A),C)),f(A,f(A,A)))
% Current number of equations to process: 689
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [191] f(f(A,f(f(B,A),C)),f(A,f(A,A))) <-> f(f(A,f(f(B,A),C)),f(B,A))
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [192] f(f(A,f(B,f(f(C,B),D))),f(f(C,B),f(C,B))) -> f(C,B)
% Current number of equations to process: 688
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [193] f(f(f(A,f(B,f(C,A))),D),f(f(C,A),f(C,A))) -> f(C,A)
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [194] f(A,f(f(A,f(f(A,B),C)),f(B,f(B,B)))) -> f(A,f(f(A,B),C))
% Current number of equations to process: 686
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [195] f(f(f(A,f(f(A,B),C)),f(B,f(B,B))),A) -> f(A,f(f(A,B),C))
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [196] f(f(A,B),f(f(C,f(A,A)),f(C,f(A,A)))) -> f(C,f(A,A))
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [197] f(f(f(A,f(B,f(B,B))),C),A) -> f(A,f(B,f(B,B)))
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [198] f(f(f(A,A),B),f(f(C,A),f(C,A))) -> f(C,A)
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [199] f(f(f(A,B),f(A,B)),f(f(f(C,f(A,B)),B),D)) -> f(A,B)
% Current number of equations to process: 713
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [200] f(f(A,B),f(f(f(A,A),C),f(x1,f(x1,x1)))) -> f(f(A,A),C)
% Rule [175] f(f(A,A),f(f(f(A,A),B),f(x1,f(x1,x1)))) -> f(f(A,A),B) collapsed.
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [201] f(f(f(A,A),B),f(f(A,C),f(A,C))) -> f(A,C)
% Current number of equations to process: 738
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [202] f(f(f(A,B),C),f(f(B,A),f(B,A))) -> f(B,A)
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [203] f(f(f(A,B),f(A,B)),f(f(f(C,f(A,B)),A),D)) -> f(A,B)
% Current number of equations to process: 749
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [204] f(A,f(f(B,A),f(C,f(f(B,A),f(A,f(A,A)))))) -> f(B,A)
% Current number of equations to process: 752
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [205] f(f(A,B),f(f(f(C,B),f(A,B)),B)) -> f(f(C,B),f(A,B))
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [206] f(A,f(f(f(B,f(C,A)),A),f(C,A))) -> f(f(B,f(C,A)),A)
% Current number of equations to process: 795
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [207] f(A,f(f(f(B,f(A,C)),A),f(A,C))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 796
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [208] f(f(A,B),f(f(f(A,B),C),f(B,f(B,B)))) -> f(f(A,B),C)
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [209] f(f(f(A,B),f(A,B)),f(f(A,f(f(A,B),C)),D)) -> f(A,B)
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [210] f(A,f(f(f(B,B),A),f(B,f(B,B)))) -> f(f(B,B),A)
% Current number of equations to process: 845
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [211] f(f(f(f(A,A),B),f(x1,f(x1,x1))),B) -> f(f(A,A),B)
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [212] f(f(f(A,A),f(B,f(A,f(A,A)))),B) -> f(B,f(A,f(A,A)))
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [213] f(f(A,B),f(B,f(f(B,f(f(A,f(f(C,C),C)),A)),D))) -> B
% Current number of equations to process: 855
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [214] f(f(A,B),f(A,f(f(A,f(f(C,f(f(D,D),D)),C)),B))) -> A
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [215] f(f(f(f(A,B),f(f(f(C,B),f(B,D)),V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [216] f(f(f(f(A,B),f(C,f(f(D,B),f(B,V_4)))),V_5),f(B,B)) -> B
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [217] f(f(f(f(A,B),f(f(f(C,B),f(D,B)),V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [218] f(f(A,B),f(C,f(f(A,B),f(A,f(A,A))))) -> f(f(A,B),f(A,f(A,A)))
% Rule [75] f(A,f(f(A,B),f(C,f(f(A,B),f(A,f(A,A)))))) -> f(A,B) collapsed.
% Current number of equations to process: 848
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [219] f(f(A,B),f(f(f(A,B),f(B,f(B,B))),C)) -> f(f(A,B),f(B,f(B,B)))
% Rule [76] f(A,f(f(B,A),f(f(f(B,A),f(A,f(A,A))),C))) -> f(B,A) collapsed.
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [220] f(f(f(f(f(f(A,B),f(B,C)),D),f(B,V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [221] f(f(f(f(A,f(f(B,C),f(C,D))),f(C,V_4)),V_5),f(C,C)) -> C
% Current number of equations to process: 845
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [222] f(f(f(f(f(f(A,B),f(C,B)),D),f(B,V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 844
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [223] f(f(A,B),f(B,f(C,f(B,f(f(A,f(f(D,D),D)),A))))) -> B
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [224] f(f(A,f(f(B,C),f(f(f(D,C),f(C,V_4)),V_5))),f(C,C)) -> C
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [225] f(A,f(f(A,f(B,f(B,B))),C)) -> f(A,f(B,f(B,B)))
% Rule [17] f(A,f(f(A,B),f(f(f(A,B),f(A,f(A,A))),C))) -> f(A,B) collapsed.
% Rule [36] f(f(f(A,A),B),f(B,f(f(B,f(A,f(A,A))),C))) -> B collapsed.
% Rule [46] f(f(A,B),f(A,f(f(A,f(C,f(C,C))),B))) -> A collapsed.
% Rule [118] f(A,f(f(A,B),f(f(f(A,B),f(C,f(C,C))),f(A,A)))) -> f(A,B)
% collapsed.
% Rule [119] f(A,f(f(B,A),f(f(f(B,A),f(C,f(C,C))),f(A,A)))) -> f(B,A)
% collapsed.
% Rule [122] f(f(A,B),f(A,f(f(A,f(C,f(C,C))),f(f(A,B),f(A,B))))) -> A
% collapsed.
% Rule [125] f(f(A,B),f(B,f(f(B,f(C,f(C,C))),f(f(A,B),f(A,B))))) -> B
% collapsed.
% Rule [185] f(f(A,f(B,f(f(B,f(C,f(C,C))),D))),B) -> f(B,f(C,f(C,C)))
% collapsed.
% Rule [219] f(f(A,B),f(f(f(A,B),f(B,f(B,B))),C)) -> f(f(A,B),f(B,f(B,B)))
% collapsed.
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [226] f(f(A,B),f(B,f(C,f(C,C)))) -> B
% Rule [47] f(f(f(A,A),B),f(B,f(A,f(A,A)))) -> B collapsed.
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [227] f(A,f(f(A,B),f(C,f(C,C)))) -> f(A,B)
% Rule [11] f(A,f(f(A,B),f(A,f(A,A)))) -> f(A,B) collapsed.
% Rule [91] f(f(f(A,A),B),f(f(f(f(A,A),B),C),f(A,f(A,A)))) -> f(f(f(A,A),B),C)
% collapsed.
% Rule [194] f(A,f(f(A,f(f(A,B),C)),f(B,f(B,B)))) -> f(A,f(f(A,B),C))
% collapsed.
% Rule [208] f(f(A,B),f(f(f(A,B),C),f(B,f(B,B)))) -> f(f(A,B),C) collapsed.
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [228] f(A,f(f(B,A),f(C,f(C,C)))) -> f(B,A)
% Rule [62] f(A,f(f(B,A),f(A,f(A,A)))) -> f(B,A) collapsed.
% Rule [210] f(A,f(f(f(B,B),A),f(B,f(B,B)))) -> f(f(B,B),A) collapsed.
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [229] f(f(A,f(B,f(C,f(C,C)))),B) -> f(B,f(C,f(C,C)))
% Rule [188] f(f(f(f(A,f(B,f(C,f(C,C)))),B),D),B) -> f(B,f(C,f(C,C)))
% collapsed.
% Rule [212] f(f(f(A,A),f(B,f(A,f(A,A)))),B) -> f(B,f(A,f(A,A))) collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [230] f(f(A,B),f(f(f(A,C),f(A,B)),A)) -> f(f(A,C),f(A,B))
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [231] f(f(f(A,B),f(B,C)),B) <-> f(f(f(A,B),f(B,C)),f(x1,f(x1,x1)))
% Current number of equations to process: 953
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [232] f(f(f(A,B),f(B,C)),f(x1,f(x1,x1))) <-> f(f(f(A,B),f(B,C)),B)
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [233] f(f(f(A,B),C),f(f(A,f(f(A,B),C)),f(A,B))) -> f(A,f(f(A,B),C))
% Current number of equations to process: 954
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [234] f(f(f(f(A,B),f(B,C)),f(x1,f(x1,x1))),f(B,C)) -> f(f(A,B),f(B,C))
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [235] f(f(f(A,B),C),f(f(B,f(f(A,B),C)),f(A,B))) -> f(B,f(f(A,B),C))
% Current number of equations to process: 952
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [236] f(f(f(A,B),f(B,C)),B) <-> f(f(f(A,B),f(B,C)),f(A,f(A,A)))
% Current number of equations to process: 960
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [237] f(f(f(A,B),f(B,C)),f(A,f(A,A))) <-> f(f(f(A,B),f(B,C)),B)
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [238] f(f(f(A,f(f(B,B),B)),C),f(C,f(A,f(A,f(f(B,B),B))))) -> C
% Current number of equations to process: 994
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [239]
% f(A,f(f(f(f(B,A),f(A,C)),D),f(f(V_4,V_4),V_4))) -> f(f(f(B,A),f(A,C)),D)
% Current number of equations to process: 993
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [240]
% f(A,f(f(B,f(f(C,A),f(A,D))),f(f(V_4,V_4),V_4))) -> f(B,f(f(C,A),f(A,D)))
% Current number of equations to process: 992
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [241] f(A,f(f(f(B,B),B),f(f(f(B,A),f(C,A)),D))) -> f(f(f(B,A),f(C,A)),D)
% Current number of equations to process: 991
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [242] f(f(f(f(A,A),A),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: 990
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [243]
% f(A,f(f(f(f(B,A),f(C,A)),D),f(f(V_4,V_4),V_4))) -> f(f(f(B,A),f(C,A)),D)
% Current number of equations to process: 989
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [244] f(A,f(f(B,f(f(C,A),f(A,D))),f(x1,f(x1,x1)))) -> f(B,f(f(C,A),f(A,D)))
% Current number of equations to process: 988
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [245] f(A,f(f(f(B,B),B),f(f(f(B,A),f(A,C)),D))) -> f(f(f(B,A),f(A,C)),D)
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [246] f(A,f(f(f(f(B,A),f(C,A)),D),f(A,f(A,A)))) -> f(f(f(B,A),f(C,A)),D)
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [247] f(A,f(f(f(f(A,B),f(A,C)),D),f(A,f(A,A)))) -> f(f(f(A,B),f(A,C)),D)
% Current number of equations to process: 978
% Current number of ordered equations: 2
% Current number of rules: 154
% New rule produced :
% [248] f(f(f(f(A,A),A),f(f(f(A,B),f(B,C)),D)),B) -> f(f(f(A,B),f(B,C)),D)
% Current number of equations to process: 978
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [249] f(f(f(f(A,A),A),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: 978
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [250] f(f(f(B,A),f(A,C)),f(f(A,f(A,A)),f(A,f(A,A)))) -> f(A,f(A,A))
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 157
% Rule [237] f(f(f(A,B),f(B,C)),f(A,f(A,A))) <-> f(f(f(A,B),f(B,C)),B) is composed into 
% [237] f(f(f(A,B),f(B,C)),f(A,f(A,A))) -> f(B,f(f(A,B),f(B,C)))
% Rule [232] f(f(f(A,B),f(B,C)),f(x1,f(x1,x1))) <-> f(f(f(A,B),f(B,C)),B) is composed into 
% [232] f(f(f(A,B),f(B,C)),f(x1,f(x1,x1))) -> f(B,f(f(A,B),f(B,C)))
% Rule [166] f(f(f(A,B),f(B,C)),f(B,f(B,B))) -> f(f(f(A,B),f(B,C)),B) is composed into 
% [166] f(f(f(A,B),f(B,C)),f(B,f(B,B))) -> f(B,f(f(A,B),f(B,C)))
% New rule produced : [251] f(f(f(B,A),f(A,C)),A) -> f(A,f(f(B,A),f(A,C)))
% Rule [7] f(f(A,B),f(f(f(A,B),f(B,C)),B)) -> f(f(A,B),f(B,C)) collapsed.
% Rule [85] f(f(A,B),f(f(f(C,A),f(A,B)),A)) -> f(f(C,A),f(A,B)) collapsed.
% Rule [90] f(f(A,f(f(B,C),f(C,D))),f(f(f(B,C),f(C,D)),C)) -> f(f(B,C),f(C,D))
% collapsed.
% Rule [92] f(f(f(f(A,B),f(B,C)),D),f(f(f(A,B),f(B,C)),B)) -> f(f(A,B),f(B,C))
% collapsed.
% Rule [93] f(f(f(f(A,B),f(B,C)),B),f(B,C)) -> f(f(A,B),f(B,C)) collapsed.
% Rule [94] f(f(f(f(A,B),f(B,C)),B),f(f(f(A,B),f(B,C)),D)) -> f(f(A,B),f(B,C))
% collapsed.
% Rule [101] f(f(f(f(A,B),f(B,C)),B),f(A,B)) -> f(f(A,B),f(B,C)) collapsed.
% Rule [135] f(f(f(f(A,f(B,C)),B),f(B,C)),B) -> f(f(A,f(B,C)),B) collapsed.
% Rule [150] f(f(f(A,f(B,B)),f(f(B,B),B)),f(B,B)) -> f(A,f(B,B)) collapsed.
% Rule [231] f(f(f(A,B),f(B,C)),B) <-> f(f(f(A,B),f(B,C)),f(x1,f(x1,x1)))
% collapsed.
% Rule [236] f(f(f(A,B),f(B,C)),B) <-> f(f(f(A,B),f(B,C)),f(A,f(A,A)))
% collapsed.
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [252] f(f(A,B),f(B,f(f(A,B),f(B,C)))) -> f(f(A,B),f(B,C))
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [253] f(A,f(B,f(A,f(C,f(C,C))))) -> f(A,A)
% Rule [78] f(f(f(A,A),B),f(B,f(C,f(B,f(A,f(A,A)))))) -> B collapsed.
% Rule [187] f(f(f(A,f(B,f(A,f(C,f(C,C))))),D),A) -> f(A,f(C,f(C,C)))
% collapsed.
% Rule [204] f(A,f(f(B,A),f(C,f(f(B,A),f(A,f(A,A)))))) -> f(B,A) collapsed.
% Rule [218] f(f(A,B),f(C,f(f(A,B),f(A,f(A,A))))) -> f(f(A,B),f(A,f(A,A)))
% collapsed.
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [254] 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: 1017
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [255] f(f(A,B),f(A,f(f(C,A),f(A,B)))) -> f(f(C,A),f(A,B))
% Current number of equations to process: 1016
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [256] f(f(B,f(f(A,B),f(B,C))),f(A,B)) -> f(f(A,B),f(B,C))
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [257] f(A,f(B,f(A,f(C,f(C,f(f(D,D),D)))))) -> f(A,A)
% Current number of equations to process: 1014
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [258] f(f(f(f(A,B),f(C,A)),A),f(C,A)) -> f(f(A,B),f(C,A))
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [259] f(f(f(A,A),A),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A))
% Current number of equations to process: 1033
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [260] f(f(A,A),f(f(f(A,B),f(A,C)),D)) -> A
% Current number of equations to process: 1069
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [261] f(A,f(f(A,B),f(f(f(C,A),f(A,D)),B))) -> f(A,B)
% Current number of equations to process: 1082
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [262] f(f(f(f(A,A),B),f(x1,f(x1,x1))),f(A,A)) -> f(f(A,A),B)
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [263] f(f(f(f(A,B),C),f(B,f(B,B))),f(A,B)) -> f(f(A,B),C)
% Current number of equations to process: 1093
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [264] f(f(f(A,B),f(A,B)),f(f(B,f(f(A,B),C)),D)) -> f(A,B)
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [265] f(f(f(f(f(A,B),C),A),D),f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 1180
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [266] f(f(f(f(f(A,B),C),B),D),f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [267] f(f(f(A,f(B,f(A,C))),f(A,C)),A) -> f(A,f(B,f(A,C)))
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [268] f(f(f(f(A,B),f(C,A)),A),f(A,B)) -> f(f(A,B),f(C,A))
% Current number of equations to process: 1191
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [269] f(f(f(A,f(B,f(C,A))),f(C,A)),A) -> f(A,f(B,f(C,A)))
% Current number of equations to process: 1193
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [270] f(A,f(f(A,f(B,B)),f(A,f(B,f(f(C,C),C))))) -> f(A,f(B,B))
% Current number of equations to process: 1204
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [271] f(f(A,A),f(f(f(B,A),f(f(f(C,A),f(A,D)),V_4)),V_5)) -> A
% Current number of equations to process: 1203
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [272] f(f(f(f(A,B),f(f(f(B,C),f(B,D)),V_4)),V_5),f(B,B)) -> B
% Current number of equations to process: 1202
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [273] f(f(f(f(f(f(A,B),f(A,C)),D),f(A,V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 1201
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [274] f(f(f(f(A,B),f(f(f(C,A),f(A,D)),V_4)),V_5),f(A,A)) -> A
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [275] f(f(f(f(A,A),B),f(B,f(A,A))),f(A,A)) -> f(f(A,A),B)
% Current number of equations to process: 1208
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [276] f(f(f(A,B),f(B,A)),A) -> f(A,B)
% Rule [275] f(f(f(f(A,A),B),f(B,f(A,A))),f(A,A)) -> f(f(A,A),B) collapsed.
% Current number of equations to process: 1210
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [277] f(f(f(f(A,f(B,B)),f(C,f(B,f(f(D,D),D)))),V_4),B) -> f(B,B)
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [278] f(f(f(A,A),A),f(f(f(B,f(A,C)),A),f(A,C))) -> f(f(B,f(A,C)),A)
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [279] f(f(f(A,A),A),f(f(f(B,f(A,C)),C),f(A,C))) -> f(f(B,f(A,C)),C)
% Current number of equations to process: 1215
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [280] f(f(f(A,f(B,f(A,C))),f(A,C)),f(B,f(A,C))) -> f(A,f(B,f(A,C)))
% Current number of equations to process: 1214
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [281] f(f(f(A,f(B,f(C,A))),f(C,A)),f(B,f(C,A))) -> f(A,f(B,f(C,A)))
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [282] f(A,f(f(A,B),f(B,f(f(C,A),f(A,D))))) -> f(A,B)
% Current number of equations to process: 1242
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [283] f(f(f(A,B),f(C,A)),A) <-> f(f(f(A,B),f(C,A)),f(B,f(B,B)))
% Current number of equations to process: 1267
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [284] f(f(f(A,B),f(C,A)),f(B,f(B,B))) <-> f(f(f(A,B),f(C,A)),A)
% Current number of equations to process: 1267
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [285] f(f(f(A,B),f(f(f(C,A),f(A,D)),B)),A) -> f(A,B)
% Current number of equations to process: 1284
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [286] f(A,f(f(A,B),f(f(f(C,A),f(D,A)),B))) -> f(A,B)
% Current number of equations to process: 1293
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [287] f(A,f(f(A,B),f(f(f(A,C),f(A,D)),B))) -> f(A,B)
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [288] f(f(A,f(f(B,f(C,C)),f(D,f(C,C)))),C) -> f(C,C)
% Current number of equations to process: 1332
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [289] f(A,f(B,f(f(C,f(A,A)),f(f(A,A),D)))) -> f(A,A)
% Current number of equations to process: 1331
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [290] f(f(A,f(f(B,C),f(C,D))),f(C,f(f(V_4,V_4),V_4))) -> C
% Current number of equations to process: 1336
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [291] f(A,f(f(f(B,f(A,A)),f(C,f(A,A))),D)) -> f(A,A)
% Current number of equations to process: 1351
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [292] f(f(f(f(A,B),f(C,B)),D),f(B,f(f(V_4,V_4),V_4))) -> B
% Current number of equations to process: 1357
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [293] f(f(A,f(f(B,B),B)),f(f(f(C,A),f(A,D)),V_4)) -> A
% Current number of equations to process: 1380
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [294] f(f(f(f(f(A,A),B),f(C,f(A,A))),D),A) -> f(A,A)
% Current number of equations to process: 1397
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [295] f(A,f(f(f(f(A,A),B),f(f(A,A),C)),D)) -> f(A,A)
% Current number of equations to process: 1396
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [296] f(f(f(f(A,B),f(A,C)),D),f(A,f(f(V_4,V_4),V_4))) -> A
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [297] f(f(f(f(A,f(B,C)),C),f(B,f(B,B))),C) -> f(f(A,f(B,C)),C)
% Current number of equations to process: 1424
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [298] f(f(f(A,B),f(f(f(C,A),f(A,D)),B)),B) -> f(A,B)
% Current number of equations to process: 1431
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [299] f(f(A,f(B,f(B,B))),f(A,C)) -> A
% Current number of equations to process: 1437
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [300] f(f(f(A,B),f(f(C,C),C)),A) -> f(A,B)
% Current number of equations to process: 1436
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [301] f(f(f(A,B),f(f(C,C),C)),B) -> f(A,B)
% Current number of equations to process: 1435
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [302] f(f(A,f(B,f(B,f(f(C,C),C)))),f(A,D)) -> A
% Current number of equations to process: 1441
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [303] f(f(A,A),f(f(B,B),B)) -> A
% Current number of equations to process: 1447
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [304] f(f(A,f(f(B,B),B)),f(f(C,C),C)) -> A
% Current number of equations to process: 1490
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [305] f(A,A) <-> f(A,f(B,f(B,f(f(C,C),C))))
% Current number of equations to process: 1537
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced : [306] f(A,f(B,f(B,f(f(C,C),C)))) <-> f(A,A)
% Current number of equations to process: 1537
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [307] f(f(A,A),A) <-> f(f(B,B),B)
% Rule [172] f(f(x1,x1),x1) <-> f(f(C,C),C) collapsed.
% Rule [173] f(f(C,C),C) <-> f(f(x1,x1),x1) collapsed.
% Current number of equations to process: 1549
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [308] f(A,A) <-> f(A,f(f(B,f(f(C,C),C)),B))
% Current number of equations to process: 1585
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced : [309] f(A,f(f(B,f(f(C,C),C)),B)) <-> f(A,A)
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [310] f(f(f(f(A,B),f(f(C,C),C)),D),f(B,B)) -> B
% Current number of equations to process: 1584
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [311] f(f(A,B),f(A,f(f(C,f(f(D,D),D)),C))) -> A
% Current number of equations to process: 1583
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [312] f(f(f(f(A,B),f(f(C,C),C)),D),f(A,A)) -> A
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [313] f(f(A,f(f(B,f(f(C,C),C)),B)),f(A,D)) -> A
% Current number of equations to process: 1581
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [314] f(A,f(f(x1,f(x1,x1)),f(x1,f(x1,x1)))) <-> f(f(A,A),A)
% Current number of equations to process: 1580
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [315] f(f(A,A),A) <-> f(A,f(f(x1,f(x1,x1)),f(x1,f(x1,x1))))
% Current number of equations to process: 1580
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [316] f(f(A,A),A) <-> f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),A)
% Current number of equations to process: 1579
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [317] f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),A) <-> f(f(A,A),A)
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 206
% Rule [283] f(f(f(A,B),f(C,A)),A) <-> f(f(f(A,B),f(C,A)),f(B,f(B,B))) is composed into 
% [283] f(f(f(A,B),f(C,A)),A) -> f(f(B,f(B,B)),f(f(A,B),f(C,A)))
% Rule [190] f(f(A,f(f(B,A),C)),f(B,A)) <-> f(f(A,f(f(B,A),C)),f(A,f(A,A))) is composed into 
% [190] f(f(A,f(f(B,A),C)),f(B,A)) -> f(f(A,f(A,A)),f(A,f(f(B,A),C)))
% Rule [180] f(f(A,f(f(A,B),C)),f(A,B)) <-> f(f(A,f(f(A,B),C)),f(A,f(A,A))) is composed into 
% [180] f(f(A,f(f(A,B),C)),f(A,B)) -> f(f(A,f(A,A)),f(A,f(f(A,B),C)))
% Rule [178] f(f(f(A,f(B,C)),B),f(B,C)) <-> f(f(f(A,f(B,C)),B),f(B,f(B,B))) is composed into 
% [178] f(f(f(A,f(B,C)),B),f(B,C)) -> f(f(B,f(B,B)),f(f(A,f(B,C)),B))
% Rule [176] f(f(f(A,f(B,C)),C),f(B,C)) <-> f(f(f(A,f(B,C)),C),f(B,f(B,B))) is composed into 
% [176] f(f(f(A,f(B,C)),C),f(B,C)) -> f(f(B,f(B,B)),f(f(A,f(B,C)),C))
% Rule [168] f(f(f(A,B),f(A,C)),A) <-> f(f(f(A,B),f(A,C)),f(B,f(B,B))) is composed into 
% [168] f(f(f(A,B),f(A,C)),A) -> f(f(B,f(B,B)),f(f(A,B),f(A,C)))
% New rule produced : [318] f(B,f(A,f(A,A))) <-> f(f(A,f(A,A)),B)
% Rule [83] f(A,f(f(f(f(B,A),f(A,C)),D),f(A,f(A,A)))) -> f(f(f(B,A),f(A,C)),D)
% collapsed.
% Rule [166] f(f(f(A,B),f(B,C)),f(B,f(B,B))) -> f(B,f(f(A,B),f(B,C)))
% collapsed.
% Rule [167] f(f(f(A,B),f(C,B)),f(B,f(B,B))) -> f(f(f(A,B),f(C,B)),B)
% collapsed.
% Rule [169] f(f(f(A,B),f(A,C)),f(B,f(B,B))) <-> f(f(f(A,B),f(A,C)),A)
% collapsed.
% Rule [177] f(f(f(A,f(B,C)),C),f(B,f(B,B))) <-> f(f(f(A,f(B,C)),C),f(B,C))
% collapsed.
% Rule [179] f(f(f(A,f(B,C)),B),f(B,f(B,B))) <-> f(f(f(A,f(B,C)),B),f(B,C))
% collapsed.
% Rule [181] f(f(A,f(f(A,B),C)),f(A,f(A,A))) <-> f(f(A,f(f(A,B),C)),f(A,B))
% collapsed.
% Rule [191] f(f(A,f(f(B,A),C)),f(A,f(A,A))) <-> f(f(A,f(f(B,A),C)),f(B,A))
% collapsed.
% Rule [195] f(f(f(A,f(f(A,B),C)),f(B,f(B,B))),A) -> f(A,f(f(A,B),C))
% collapsed.
% Rule [200] f(f(A,B),f(f(f(A,A),C),f(x1,f(x1,x1)))) -> f(f(A,A),C) collapsed.
% Rule [211] f(f(f(f(A,A),B),f(x1,f(x1,x1))),B) -> f(f(A,A),B) collapsed.
% Rule [232] f(f(f(A,B),f(B,C)),f(x1,f(x1,x1))) -> f(B,f(f(A,B),f(B,C)))
% collapsed.
% Rule [234] f(f(f(f(A,B),f(B,C)),f(x1,f(x1,x1))),f(B,C)) -> f(f(A,B),f(B,C))
% collapsed.
% Rule [237] f(f(f(A,B),f(B,C)),f(A,f(A,A))) -> f(B,f(f(A,B),f(B,C)))
% collapsed.
% Rule
% [244] f(A,f(f(B,f(f(C,A),f(A,D))),f(x1,f(x1,x1)))) -> f(B,f(f(C,A),f(A,D)))
% collapsed.
% Rule [246] f(A,f(f(f(f(B,A),f(C,A)),D),f(A,f(A,A)))) -> f(f(f(B,A),f(C,A)),D)
% collapsed.
% Rule [247] f(A,f(f(f(f(A,B),f(A,C)),D),f(A,f(A,A)))) -> f(f(f(A,B),f(A,C)),D)
% collapsed.
% Rule [262] f(f(f(f(A,A),B),f(x1,f(x1,x1))),f(A,A)) -> f(f(A,A),B) collapsed.
% Rule [263] f(f(f(f(A,B),C),f(B,f(B,B))),f(A,B)) -> f(f(A,B),C) collapsed.
% Rule [284] f(f(f(A,B),f(C,A)),f(B,f(B,B))) <-> f(f(f(A,B),f(C,A)),A)
% collapsed.
% Rule [297] f(f(f(f(A,f(B,C)),C),f(B,f(B,B))),C) -> f(f(A,f(B,C)),C)
% collapsed.
% Current number of equations to process: 1601
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced : [319] f(f(A,f(A,A)),B) <-> f(B,f(A,f(A,A)))
% Current number of equations to process: 1601
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [320] f(f(A,f(B,f(B,B))),f(C,A)) -> A
% Current number of equations to process: 1604
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [321] f(f(f(x1,f(x1,x1)),f(f(A,A),B)),B) -> f(f(A,A),B)
% Current number of equations to process: 1619
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [322] f(f(A,B),f(A,f(C,f(C,f(D,f(D,D)))))) -> A
% Current number of equations to process: 1618
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [323] f(A,A) <-> f(A,f(B,f(B,f(C,f(C,C)))))
% Current number of equations to process: 1633
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced : [324] f(A,f(B,f(B,f(C,f(C,C))))) <-> f(A,A)
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [325] f(f(A,f(B,f(B,B))),f(f(C,C),C)) -> A
% Current number of equations to process: 1632
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [326] f(f(A,f(B,f(B,f(C,f(C,C))))),f(A,D)) -> A
% Current number of equations to process: 1631
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [327] f(f(A,B),f(A,f(f(C,f(D,f(D,D))),C))) -> A
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [328] f(f(B,f(B,B)),f(f(A,B),f(A,B))) -> f(A,B)
% Current number of equations to process: 1631
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [329] f(A,f(f(A,f(B,f(B,f(f(C,C),C)))),D)) -> f(A,A)
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [330] f(A,f(B,f(A,f(f(C,f(f(D,D),D)),C)))) -> f(A,A)
% Rule [223] f(f(A,B),f(B,f(C,f(B,f(f(A,f(f(D,D),D)),A))))) -> B collapsed.
% Current number of equations to process: 1656
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [331] f(f(f(f(A,f(B,B)),f(f(C,C),C)),D),B) -> f(B,B)
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [332] f(f(f(f(f(A,A),B),f(f(C,C),C)),D),A) -> f(A,A)
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [333] f(A,f(f(A,f(f(B,f(f(C,C),C)),B)),D)) -> f(A,A)
% Rule [213] f(f(A,B),f(B,f(f(B,f(f(A,f(f(C,C),C)),A)),D))) -> B collapsed.
% Rule [214] f(f(A,B),f(A,f(f(A,f(f(C,f(f(D,D),D)),C)),B))) -> A collapsed.
% Current number of equations to process: 1653
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [334] f(f(f(A,A),B),f(f(A,A),A)) -> f(f(x1,f(x1,x1)),f(f(A,A),B))
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [335] f(f(f(f(x1,f(x1,x1)),f(f(A,A),B)),C),A) -> f(A,A)
% Current number of equations to process: 1651
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [336] f(f(f(A,A),A),f(f(B,B),B)) -> f(f(x1,f(x1,x1)),f(x1,f(x1,x1)))
% Current number of equations to process: 1650
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [337] f(A,f(B,f(A,f(C,f(C,f(D,f(D,D))))))) -> f(A,A)
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [338] f(A,f(f(A,f(B,f(B,f(C,f(C,C))))),D)) -> f(A,A)
% Current number of equations to process: 1648
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [339] f(A,f(f(A,B),f(C,f(C,f(f(D,D),D))))) -> f(A,B)
% Current number of equations to process: 1647
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [340] f(A,f(f(A,B),f(f(C,f(f(D,D),D)),C))) -> f(A,B)
% Current number of equations to process: 1646
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [341] f(A,f(f(A,B),f(C,f(C,f(D,f(D,D)))))) -> f(A,B)
% Current number of equations to process: 1645
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [342] f(A,f(f(B,A),f(C,f(C,f(f(D,D),D))))) -> f(B,A)
% Current number of equations to process: 1644
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [343] f(f(f(f(A,A),A),f(B,A)),A) -> f(A,f(f(f(A,A),A),f(B,A)))
% Current number of equations to process: 1643
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [344] f(f(A,f(f(f(B,B),C),f(f(B,B),D))),B) -> f(B,B)
% Current number of equations to process: 1642
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [345] f(A,f(f(B,A),f(f(C,f(f(D,D),D)),C))) -> f(B,A)
% Current number of equations to process: 1641
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [346] f(A,f(f(B,A),f(C,f(C,f(D,f(D,D)))))) -> f(B,A)
% Current number of equations to process: 1640
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [347] f(f(B,f(B,B)),f(f(A,B),f(B,C))) -> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 1639
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [348] f(f(f(A,B),f(C,B)),B) -> f(f(B,f(B,B)),f(f(A,B),f(C,B)))
% Rule [42] f(f(A,B),f(f(f(A,B),f(C,B)),B)) -> f(f(A,B),f(C,B)) collapsed.
% Rule [60] f(f(f(A,B),f(A,B)),B) -> f(A,B) collapsed.
% Rule [97] f(f(f(f(A,B),f(C,B)),B),f(C,B)) -> f(f(A,B),f(C,B)) collapsed.
% Rule [104] f(f(f(f(A,B),f(C,B)),B),f(A,B)) -> f(f(A,B),f(C,B)) collapsed.
% Rule [136] f(f(f(f(A,f(B,C)),C),f(B,C)),C) -> f(f(A,f(B,C)),C) collapsed.
% Rule [205] f(f(A,B),f(f(f(C,B),f(A,B)),B)) -> f(f(C,B),f(A,B)) collapsed.
% Rule [259] f(f(f(A,A),A),f(f(f(B,A),f(C,A)),A)) -> f(f(B,A),f(C,A))
% collapsed.
% Rule [298] f(f(f(A,B),f(f(f(C,A),f(A,D)),B)),B) -> f(A,B) collapsed.
% Rule [343] f(f(f(f(A,A),A),f(B,A)),A) -> f(A,f(f(f(A,A),A),f(B,A)))
% collapsed.
% Current number of equations to process: 1646
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [349] f(f(A,B),f(f(f(C,C),C),A)) -> A
% Current number of equations to process: 1702
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [350] f(A,f(B,f(f(f(C,C),C),A))) -> f(A,A)
% Current number of equations to process: 1703
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [351] f(A,A) <-> f(f(f(B,B),B),A)
% Current number of equations to process: 1735
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced : [352] f(f(f(B,B),B),A) <-> f(A,A)
% Current number of equations to process: 1735
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [353] f(f(f(f(A,A),A),B),f(B,C)) -> B
% Current number of equations to process: 1737
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [354] f(A,f(f(f(f(B,B),B),A),C)) -> f(A,A)
% Current number of equations to process: 1738
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [355] f(A,f(f(f(B,B),B),f(A,C))) -> f(A,C)
% Current number of equations to process: 1737
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [356] f(A,f(f(f(B,B),B),f(C,A))) -> f(C,A)
% Current number of equations to process: 1736
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [357] f(A,f(f(B,f(f(C,C),C)),B)) <-> f(f(f(B,B),B),A)
% Current number of equations to process: 1738
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced : [358] f(f(f(B,B),B),A) <-> f(A,f(f(B,f(f(C,C),C)),B))
% Current number of equations to process: 1738
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [359] f(f(f(f(f(A,A),A),B),C),B) -> f(B,f(f(A,A),A))
% Current number of equations to process: 1737
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [360] f(f(A,f(f(f(B,B),B),C)),C) -> f(C,f(f(B,B),B))
% Current number of equations to process: 1736
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [361] f(f(f(f(C,C),C),f(A,B)),A) -> f(A,B)
% Current number of equations to process: 1737
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [362] f(f(f(f(C,C),C),f(A,B)),B) -> f(A,B)
% Current number of equations to process: 1740
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [363] f(C,f(f(A,A),A)) <-> f(f(f(A,f(f(B,B),B)),A),C)
% Current number of equations to process: 1761
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced : [364] f(f(f(A,f(f(B,B),B)),A),C) <-> f(C,f(f(A,A),A))
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [365] f(f(A,f(f(B,C),f(f(B,B),B))),f(B,B)) -> B
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [366] f(f(A,A),f(f(f(A,B),f(f(A,A),A)),C)) -> A
% Current number of equations to process: 1759
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [367] f(f(A,B),f(B,f(C,f(C,f(f(D,D),D))))) -> B
% Rule [238] f(f(f(A,f(f(B,B),B)),C),f(C,f(A,f(A,f(f(B,B),B))))) -> C
% collapsed.
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [368] f(f(A,B),f(f(f(C,C),C),B)) -> B
% Current number of equations to process: 1767
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [369] f(f(A,B),f(B,f(f(C,f(f(D,D),D)),C))) -> B
% Rule [151] f(f(A,B),f(B,f(f(A,f(f(C,C),C)),A))) -> B collapsed.
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [370] f(f(A,B),f(B,f(C,f(C,f(D,f(D,D)))))) -> B
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [371] f(f(A,f(B,f(B,f(f(C,C),C)))),f(D,A)) -> A
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [372] f(f(f(f(A,A),A),B),f(C,B)) -> B
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [373] f(f(A,f(f(B,f(f(C,C),C)),B)),f(D,A)) -> A
% Current number of equations to process: 1778
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [374] f(f(A,f(B,f(B,f(C,f(C,C))))),f(D,A)) -> A
% Current number of equations to process: 1777
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [375] f(A,f(B,f(B,f(f(C,C),C)))) <-> f(f(B,f(B,f(f(C,C),C))),A)
% Current number of equations to process: 1776
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [376] f(f(B,f(B,f(f(C,C),C))),A) <-> f(A,f(B,f(B,f(f(C,C),C))))
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [377] f(f(A,f(f(f(B,B),B),f(C,f(B,B)))),B) -> f(B,B)
% Current number of equations to process: 1775
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [378] f(A,f(f(f(f(A,A),A),f(B,f(A,A))),C)) -> f(A,A)
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [379] f(f(B,f(B,f(C,f(C,C)))),A) <-> f(A,f(B,f(B,f(C,f(C,C)))))
% Current number of equations to process: 1773
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [380] f(A,f(B,f(B,f(C,f(C,C))))) <-> f(f(B,f(B,f(C,f(C,C)))),A)
% Current number of equations to process: 1773
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [381] f(f(x1,f(x1,x1)),f(f(A,A),f(B,f(B,B)))) -> f(A,A)
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [382] f(A,f(A,f(f(B,B),B))) <-> f(f(x1,x1),x1)
% Current number of equations to process: 1774
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced : [383] f(f(x1,x1),x1) <-> f(A,f(A,f(f(B,B),B)))
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [384] f(f(A,B),f(f(x1,f(x1,x1)),f(f(A,A),C))) -> f(f(A,A),C)
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [385] f(B,f(f(A,B),f(B,C))) <-> f(f(x1,f(x1,x1)),f(f(A,B),f(B,C)))
% Current number of equations to process: 1773
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [386] f(f(x1,f(x1,x1)),f(f(A,B),f(B,C))) <-> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 1773
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [387] f(B,f(f(A,B),f(B,C))) <-> f(f(A,f(A,A)),f(f(A,B),f(B,C)))
% Current number of equations to process: 1772
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [388] f(f(A,f(A,A)),f(f(A,B),f(B,C))) <-> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 1772
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [389] f(f(f(x1,f(x1,x1)),f(f(A,A),B)),f(A,A)) -> f(f(A,A),B)
% Current number of equations to process: 1771
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [390] f(f(f(B,f(B,B)),f(f(A,B),C)),f(A,B)) -> f(f(A,B),C)
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [391] f(f(A,A),f(f(B,f(B,B)),f(B,f(B,B)))) -> f(f(B,B),B)
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [392] f(f(f(A,B),f(B,C)),f(f(D,D),D)) -> f(B,f(f(A,B),f(B,C)))
% Current number of equations to process: 1768
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [393] f(f(A,A),A) <-> f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A))
% Current number of equations to process: 1765
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [394] f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A)) <-> f(f(A,A),A)
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [395] f(f(B,B),B) <-> f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A))
% Rule [393] f(f(A,A),A) <-> f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A))
% collapsed.
% Current number of equations to process: 1764
% Current number of ordered equations: 1
% Current number of rules: 248
% Rule [395] f(f(B,B),B) <-> f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A)) is composed into 
% [395] f(f(B,B),B) <-> f(f(x1,x1),x1)
% New rule produced :
% [396] f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A)) <-> f(f(B,B),B)
% Rule [394] f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A)) <-> f(f(A,A),A)
% collapsed.
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [397] f(f(A,B),f(f(C,f(C,C)),f(C,f(C,C)))) -> f(C,f(C,C))
% Rule [171] f(f(A,B),f(f(x1,f(x1,x1)),f(x1,f(x1,x1)))) <-> f(f(C,C),C)
% collapsed.
% Rule [250] f(f(f(B,A),f(A,C)),f(f(A,f(A,A)),f(A,f(A,A)))) -> f(A,f(A,A))
% collapsed.
% Rule [391] f(f(A,A),f(f(B,f(B,B)),f(B,f(B,B)))) -> f(f(B,B),B) collapsed.
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 246
% Rule [396] f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A)) <-> f(f(B,B),B) is composed into 
% [396] f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),f(A,A)) -> f(x1,f(x1,x1))
% Rule [351] f(A,A) <-> f(f(f(B,B),B),A) is composed into [351]
% f(A,A) <->
% f(f(x1,f(x1,x1)),A)
% Rule [317] f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),A) <-> f(f(A,A),A) is composed into 
% [317] f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),A) -> f(x1,f(x1,x1))
% Rule [314] f(A,f(f(x1,f(x1,x1)),f(x1,f(x1,x1)))) <-> f(f(A,A),A) is composed into 
% [314] f(A,f(f(x1,f(x1,x1)),f(x1,f(x1,x1)))) -> f(x1,f(x1,x1))
% Rule [308] f(A,A) <-> f(A,f(f(B,f(f(C,C),C)),B)) is composed into [308]
% f(A,A) <->
% f(A,
% f(f(B,
% f(x1,
% f(x1,x1))),B))
% Rule [305] f(A,A) <-> f(A,f(B,f(B,f(f(C,C),C)))) is composed into [305]
% f(A,A) <->
% f(A,
% f(B,
% f(B,
% f(x1,
% f(x1,x1)))))
% Rule [140] f(A,A) <-> f(A,f(f(B,B),B)) is composed into [140]
% f(A,A) <->
% f(A,f(x1,f(x1,x1)))
% New rule produced : [398] f(f(C,C),C) -> f(x1,f(x1,x1))
% Rule [64] f(f(B,C),f(B,f(f(A,A),A))) -> B collapsed.
% Rule [96] f(A,f(B,f(A,f(f(C,C),C)))) -> f(A,A) collapsed.
% Rule [138] f(f(A,f(f(B,B),B)),f(A,C)) -> A collapsed.
% Rule [139] f(A,f(f(A,f(f(B,B),B)),C)) -> f(A,A) collapsed.
% Rule [141] f(A,f(f(B,B),B)) <-> f(A,A) collapsed.
% Rule [143] f(A,f(f(A,B),f(f(C,C),C))) -> f(A,B) collapsed.
% Rule [144] f(A,f(f(B,A),f(f(C,C),C))) -> f(B,A) collapsed.
% Rule [145] f(f(f(A,f(f(B,B),B)),C),A) -> f(A,f(f(B,B),B)) collapsed.
% Rule [146] f(f(A,f(B,f(f(C,C),C))),B) -> f(B,f(f(C,C),C)) collapsed.
% Rule [147] f(B,f(f(A,A),A)) <-> f(f(f(A,A),A),B) collapsed.
% Rule [148] f(f(f(A,A),A),B) <-> f(B,f(f(A,A),A)) collapsed.
% Rule [149] f(f(A,B),f(B,f(f(C,C),C))) -> B collapsed.
% Rule [152] f(f(A,f(f(B,B),B)),f(C,A)) -> A collapsed.
% Rule [153] f(f(A,B),f(A,f(C,f(C,f(f(D,D),D))))) -> A collapsed.
% Rule [170] f(f(f(f(A,B),f(B,C)),D),f(B,f(f(V_4,V_4),V_4))) -> B collapsed.
% Rule
% [239]
% f(A,f(f(f(f(B,A),f(A,C)),D),f(f(V_4,V_4),V_4))) -> f(f(f(B,A),f(A,C)),D)
% collapsed.
% Rule
% [240]
% f(A,f(f(B,f(f(C,A),f(A,D))),f(f(V_4,V_4),V_4))) -> f(B,f(f(C,A),f(A,D)))
% collapsed.
% Rule [241] f(A,f(f(f(B,B),B),f(f(f(B,A),f(C,A)),D))) -> f(f(f(B,A),f(C,A)),D)
% collapsed.
% Rule [242] f(f(f(f(A,A),A),f(f(f(B,A),f(C,A)),D)),A) -> f(f(f(B,A),f(C,A)),D)
% collapsed.
% Rule
% [243]
% f(A,f(f(f(f(B,A),f(C,A)),D),f(f(V_4,V_4),V_4))) -> f(f(f(B,A),f(C,A)),D)
% collapsed.
% Rule [245] f(A,f(f(f(B,B),B),f(f(f(B,A),f(A,C)),D))) -> f(f(f(B,A),f(A,C)),D)
% collapsed.
% Rule [248] f(f(f(f(A,A),A),f(f(f(A,B),f(B,C)),D)),B) -> f(f(f(A,B),f(B,C)),D)
% collapsed.
% Rule [249] f(f(f(f(A,A),A),f(f(f(B,A),f(A,C)),D)),A) -> f(f(f(B,A),f(A,C)),D)
% collapsed.
% Rule [257] f(A,f(B,f(A,f(C,f(C,f(f(D,D),D)))))) -> f(A,A) collapsed.
% Rule [270] f(A,f(f(A,f(B,B)),f(A,f(B,f(f(C,C),C))))) -> f(A,f(B,B))
% collapsed.
% Rule [277] f(f(f(f(A,f(B,B)),f(C,f(B,f(f(D,D),D)))),V_4),B) -> f(B,B)
% collapsed.
% Rule [278] f(f(f(A,A),A),f(f(f(B,f(A,C)),A),f(A,C))) -> f(f(B,f(A,C)),A)
% collapsed.
% Rule [279] f(f(f(A,A),A),f(f(f(B,f(A,C)),C),f(A,C))) -> f(f(B,f(A,C)),C)
% collapsed.
% Rule [290] f(f(A,f(f(B,C),f(C,D))),f(C,f(f(V_4,V_4),V_4))) -> C collapsed.
% Rule [292] f(f(f(f(A,B),f(C,B)),D),f(B,f(f(V_4,V_4),V_4))) -> B collapsed.
% Rule [293] f(f(A,f(f(B,B),B)),f(f(f(C,A),f(A,D)),V_4)) -> A collapsed.
% Rule [296] f(f(f(f(A,B),f(A,C)),D),f(A,f(f(V_4,V_4),V_4))) -> A collapsed.
% Rule [300] f(f(f(A,B),f(f(C,C),C)),A) -> f(A,B) collapsed.
% Rule [301] f(f(f(A,B),f(f(C,C),C)),B) -> f(A,B) collapsed.
% Rule [302] f(f(A,f(B,f(B,f(f(C,C),C)))),f(A,D)) -> A collapsed.
% Rule [303] f(f(A,A),f(f(B,B),B)) -> A collapsed.
% Rule [304] f(f(A,f(f(B,B),B)),f(f(C,C),C)) -> A collapsed.
% Rule [306] f(A,f(B,f(B,f(f(C,C),C)))) <-> f(A,A) collapsed.
% Rule [307] f(f(A,A),A) <-> f(f(B,B),B) collapsed.
% Rule [309] f(A,f(f(B,f(f(C,C),C)),B)) <-> f(A,A) collapsed.
% Rule [310] f(f(f(f(A,B),f(f(C,C),C)),D),f(B,B)) -> B collapsed.
% Rule [311] f(f(A,B),f(A,f(f(C,f(f(D,D),D)),C))) -> A collapsed.
% Rule [312] f(f(f(f(A,B),f(f(C,C),C)),D),f(A,A)) -> A collapsed.
% Rule [313] f(f(A,f(f(B,f(f(C,C),C)),B)),f(A,D)) -> A collapsed.
% Rule [315] f(f(A,A),A) <-> f(A,f(f(x1,f(x1,x1)),f(x1,f(x1,x1)))) collapsed.
% Rule [316] f(f(A,A),A) <-> f(f(f(x1,f(x1,x1)),f(x1,f(x1,x1))),A) collapsed.
% Rule [325] f(f(A,f(B,f(B,B))),f(f(C,C),C)) -> A collapsed.
% Rule [329] f(A,f(f(A,f(B,f(B,f(f(C,C),C)))),D)) -> f(A,A) collapsed.
% Rule [330] f(A,f(B,f(A,f(f(C,f(f(D,D),D)),C)))) -> f(A,A) collapsed.
% Rule [331] f(f(f(f(A,f(B,B)),f(f(C,C),C)),D),B) -> f(B,B) collapsed.
% Rule [332] f(f(f(f(f(A,A),B),f(f(C,C),C)),D),A) -> f(A,A) collapsed.
% Rule [333] f(A,f(f(A,f(f(B,f(f(C,C),C)),B)),D)) -> f(A,A) collapsed.
% Rule [334] f(f(f(A,A),B),f(f(A,A),A)) -> f(f(x1,f(x1,x1)),f(f(A,A),B))
% collapsed.
% Rule [336] f(f(f(A,A),A),f(f(B,B),B)) -> f(f(x1,f(x1,x1)),f(x1,f(x1,x1)))
% collapsed.
% Rule [339] f(A,f(f(A,B),f(C,f(C,f(f(D,D),D))))) -> f(A,B) collapsed.
% Rule [340] f(A,f(f(A,B),f(f(C,f(f(D,D),D)),C))) -> f(A,B) collapsed.
% Rule [342] f(A,f(f(B,A),f(C,f(C,f(f(D,D),D))))) -> f(B,A) collapsed.
% Rule [345] f(A,f(f(B,A),f(f(C,f(f(D,D),D)),C))) -> f(B,A) collapsed.
% Rule [349] f(f(A,B),f(f(f(C,C),C),A)) -> A collapsed.
% Rule [350] f(A,f(B,f(f(f(C,C),C),A))) -> f(A,A) collapsed.
% Rule [352] f(f(f(B,B),B),A) <-> f(A,A) collapsed.
% Rule [353] f(f(f(f(A,A),A),B),f(B,C)) -> B collapsed.
% Rule [354] f(A,f(f(f(f(B,B),B),A),C)) -> f(A,A) collapsed.
% Rule [355] f(A,f(f(f(B,B),B),f(A,C))) -> f(A,C) collapsed.
% Rule [356] f(A,f(f(f(B,B),B),f(C,A))) -> f(C,A) collapsed.
% Rule [357] f(A,f(f(B,f(f(C,C),C)),B)) <-> f(f(f(B,B),B),A) collapsed.
% Rule [358] f(f(f(B,B),B),A) <-> f(A,f(f(B,f(f(C,C),C)),B)) collapsed.
% Rule [359] f(f(f(f(f(A,A),A),B),C),B) -> f(B,f(f(A,A),A)) collapsed.
% Rule [360] f(f(A,f(f(f(B,B),B),C)),C) -> f(C,f(f(B,B),B)) collapsed.
% Rule [361] f(f(f(f(C,C),C),f(A,B)),A) -> f(A,B) collapsed.
% Rule [362] f(f(f(f(C,C),C),f(A,B)),B) -> f(A,B) collapsed.
% Rule [363] f(C,f(f(A,A),A)) <-> f(f(f(A,f(f(B,B),B)),A),C) collapsed.
% Rule [364] f(f(f(A,f(f(B,B),B)),A),C) <-> f(C,f(f(A,A),A)) collapsed.
% Rule [365] f(f(A,f(f(B,C),f(f(B,B),B))),f(B,B)) -> B collapsed.
% Rule [366] f(f(A,A),f(f(f(A,B),f(f(A,A),A)),C)) -> A collapsed.
% Rule [367] f(f(A,B),f(B,f(C,f(C,f(f(D,D),D))))) -> B collapsed.
% Rule [368] f(f(A,B),f(f(f(C,C),C),B)) -> B collapsed.
% Rule [369] f(f(A,B),f(B,f(f(C,f(f(D,D),D)),C))) -> B collapsed.
% Rule [371] f(f(A,f(B,f(B,f(f(C,C),C)))),f(D,A)) -> A collapsed.
% Rule [372] f(f(f(f(A,A),A),B),f(C,B)) -> B collapsed.
% Rule [373] f(f(A,f(f(B,f(f(C,C),C)),B)),f(D,A)) -> A collapsed.
% Rule [375] f(A,f(B,f(B,f(f(C,C),C)))) <-> f(f(B,f(B,f(f(C,C),C))),A)
% collapsed.
% Rule [376] f(f(B,f(B,f(f(C,C),C))),A) <-> f(A,f(B,f(B,f(f(C,C),C))))
% collapsed.
% Rule [377] f(f(A,f(f(f(B,B),B),f(C,f(B,B)))),B) -> f(B,B) collapsed.
% Rule [378] f(A,f(f(f(f(A,A),A),f(B,f(A,A))),C)) -> f(A,A) collapsed.
% Rule [382] f(A,f(A,f(f(B,B),B))) <-> f(f(x1,x1),x1) collapsed.
% Rule [383] f(f(x1,x1),x1) <-> f(A,f(A,f(f(B,B),B))) collapsed.
% Rule [392] f(f(f(A,B),f(B,C)),f(f(D,D),D)) -> f(B,f(f(A,B),f(B,C)))
% collapsed.
% Rule [395] f(f(B,B),B) <-> f(f(x1,x1),x1) collapsed.
% Current number of equations to process: 1816
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [399] f(B,f(B,B)) <-> f(x1,f(x1,x1))
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 1815
% Current number of ordered equations: 1
% Current number of rules: 159
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 17 rules have been used:
% [4] 
% f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) -> B; trace = in the starting set
% [5] f(A,f(f(A,B),f(f(f(A,B),f(f(f(C,A),f(C,A)),f(C,A))),D))) -> f(A,B); trace = Self cp of 4
% [6] f(A,f(f(A,B),f(f(f(C,A),f(C,A)),f(C,A)))) -> f(A,B); trace = Self cp of 5
% [7] f(f(A,B),f(f(f(A,B),f(B,C)),B)) -> f(f(A,B),f(B,C)); trace = Cp of 5 and 4
% [8] f(f(f(f(A,B),f(B,C)),B),f(B,B)) -> B; trace = Cp of 7 and 4
% [9] f(f(A,A),f(A,A)) -> A; trace = Self cp of 8
% [10] f(f(A,B),f(A,f(f(A,f(f(A,A),A)),A))) -> A; trace = Cp of 9 and 4
% [11] f(A,f(f(A,B),f(A,f(A,A)))) -> f(A,B); trace = Cp of 9 and 6
% [16] f(f(A,B),f(B,f(f(B,f(f(A,A),A)),C))) -> B; trace = Cp of 10 and 4
% [19] f(A,f(f(A,B),f(A,B))) -> f(A,B); trace = Cp of 10 and 5
% [21] f(f(A,B),f(A,A)) -> A; trace = Cp of 9 and 4
% [31] f(f(f(f(A,B),f(B,C)),D),f(B,B)) -> B; trace = Cp of 19 and 4
% [33] f(A,f(f(B,A),f(B,A))) -> f(B,A); trace = Cp of 21 and 16
% [64] f(f(B,C),f(B,f(f(A,A),A))) -> B; trace = Cp of 11 and 4
% [65] f(f(A,f(f(B,C),f(C,D))),f(C,C)) -> C; trace = Cp of 33 and 31
% [139] f(A,f(f(A,f(f(B,B),B)),C)) -> f(A,A); trace = Cp of 64 and 7
% [399] f(B,f(B,B)) <-> f(x1,f(x1,x1)); trace = Cp of 139 and 65
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 19.850000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------